tag:blogger.com,1999:blog-84253386184586270452024-03-13T03:39:45.470-07:00 Quantitative Aptitude Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.comBlogger13125tag:blogger.com,1999:blog-8425338618458627045.post-9066742937943732092020-09-30T06:05:00.000-07:002020-09-30T06:05:44.050-07:00Quanta – 6<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<h2 style="text-align: left;">
<strong><span style="color: #3d85c6;">Quanta – 6</span></strong></h2>
<strong><span style="color: #990000;"><br /></span></strong>Q-1 0.169 ÷ 0.013 + 4 =?<br />
(a) 4.011<br />
(b) 4.013<br />
(c) 4.015<br />
(d) None<br />
Q-2 L.C.M. of 4,6,12 is<br />
(a) 6<br />
(b) 12<br />
(c) 14<br />
(d) 18<br />
Q-3 40 + 20 – ( – 32) = ?<br />
(a) 93<br />
(b) 92<br />
(c) 90<br />
(d) 68<br />
Q-4 35/0.07 =?<br />
(a) 600<br />
(b) 500<br />
(c) 600<br />
(d) 800<br />
Q-5 25 + 5 × 0.2 = 13(x)<br />
Find x<br />
(a) 3<br />
(b) 4<br />
(c) 2<br />
(d) 5<br />
Q-6 81 ÷ 9 + 8 × 3 = x<br />
Find x<br />
(a) 32<br />
(b) 31<br />
(c) 30<br />
(d) 39<br />
Q-7 Which of them is not a prime number?<br />
(a) 91<br />
(b) 73<br />
(d) 37<br />
(d) 50<br />
Q-8 When a number is multiplied by 12 it gives 144. Find out the number?<br />
(a) 12<br />
(b) 13<br />
(c) 18<br />
(d) 29<br />
Q-9 LCM of 2, 4, 6,8,10 is<br />
(a) 110<br />
(b) 120<br />
(c) 130<br />
(d) 136<br />
Q-10 14/5 × 15/7 × 7/6 = x/21<br />
(a) 146<br />
(b) 148<br />
(c) 147<br />
(d) 150<br />
Q-11 If 50 % of 100 = (4x)/8<br />
Find x<br />
(a) 50<br />
(b) 100<br />
(c) 150<br />
(d) None<br />
Q-12 If gcd (14,17) = 1, then it is<br />
(a) Coprime No.<br />
(b) Prime No.<br />
(c) Natural No.<br />
(d) None<br />
Q-13 GCD of (14, 21) = ?<br />
(a)6<br />
(b) 14<br />
(c) 7<br />
(d) 9<br />
Q-14 When sum of two No. is 125 & their difference is 101, Find the Nos.<br />
(a) 113, 11<br />
(b) 113, 12<br />
(c) 113, 19<br />
(d) None<br />
Q-15 Find the Prime no. from the following?<br />
(a) 15<br />
(b) 19<br />
(c) 16<br />
(d) 50<br />
Q-16 Which of them is divisible by 3?<br />
(a) 114<br />
(b) 125<br />
(c) 139<br />
(d)137<br />
Q-17 Find out from the following that which is divisible by 4 ?<br />
(a) 1448<br />
(b) 1451<br />
(c) 1468<br />
(d) None<br />
Q-18 Which value should be added to 16 so that it is divisible by 3 ?<br />
(a) 2<br />
(b) 3<br />
(c) 4<br />
(d) 6<br />
Q-19 What value should be subtracted from 16 so that it is divisible by 3?<br />
(a) 2<br />
(b) 1<br />
(c) 3<br />
(d) 5<br />
Q-20 What is the difference between two consecutive even numbers?<br />
(a) 2<br />
(b) 3<br />
(c) 1<br />
(d) 4<br />
Q-21 What is the difference between two consecutive odd numbers ?<br />
(a) 3<br />
(b) 2<br />
(c) 21<br />
(d) 1<br />
Q-22 What is the difference between two consecutive natural numbers ?<br />
(a) 1<br />
(b) 2<br />
(c) 3<br />
(d) 4<br />
Q-23 Between 1 to 10, how many prime numbers are there?<br />
(a) 4<br />
(b) 3<br />
(c) 6<br />
(d) None<br />
Q-24 A prime numbers is either divisible by 1 or by<br />
(a) 2<br />
(b) itself<br />
(c) 3<br />
(d) 9<br />
Q-25 4, 8, 12, 16, -------- is a<br />
(a) A.P.<br />
(b)G.P.<br />
(c) H.P.<br />
(d) None<br />
<br />
<br />
<h3 style="text-align: left;">
<strong><span style="color: #3d85c6;">Answers:</span></strong></h3>
1. b 4.013<br />
2. b 12<br />
3. b 92<br />
4. b 500<br />
5. c 2<br />
6. b 31<br />
7. d 50<br />
8. a 12<br />
9. b 120<br />
10. c 147<br />
11. b 100<br />
12. a Coprime No.<br />
13. c 7<br />
14. b 113, 12<br />
15. b 19<br />
16. a 114<br />
17. a 1448<br />
18. a 2<br />
19. b 1<br />
20. a 2<br />
21. b 2<br />
22. a 1<br />
23. a 4<br />
24. b itself<br />
25. a A.P.<br />
<br />
<h4 style="text-align: left;">
<strong><span style="color: #3d85c6;">Reasons:</span></strong></h4>
1 0.169 ÷ 0.013 + 4 = 0.013 + 4 = 4.013<br />
3 40 + 20 + 32 = 92<br />
4 35/0.07 = (35 × 100) /7 = 500<br />
5 25 + 5 × 0.2 = 13x = 25 + 1 = 13x<br />
26 = 13x, x =2<br />
6 81 ÷ 9 + 8 × 3 = x<br />
9 + 8 × 3 = x<br />
31 = x<br />
8 12x = 144<br />
x = 12<br />
10 14/5 × 15/7 × 7/6 = x/21<br />
21/3 = x/21<br />
441/3 = x, x = 147<br />
11 50% of 100 = 4x/8<br />
50/100 × (100) = 4x/8<br />
400 = 4x, x = 100<br />
14 x+ y = 125 ---(1)<br />
x – y = 101 ---(2)<br />
Add<br />
2x = 226, x = 113<br />
Put in (1)<br />
113 + y = 125<br />
y = 12<br />
16 Because 1 +1 + 4 = 6<br />
Which is divisible by 3</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0India20.593684 78.96288-8.538673031839803 43.80663 49.7260410318398 114.11913tag:blogger.com,1999:blog-8425338618458627045.post-84005592528029855892020-09-30T06:02:00.000-07:002020-09-30T06:02:27.743-07:00Quanta – 5<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<h2 style="text-align: left;">
<strong><span style="color: #3d85c6;"> Quanta – 5</span></strong></h2>
Q-1 5365 + 5466 – 1522 – 1651 =?<br />
(a) 7665<br />
(b) 7677<br />
(c) 7658<br />
(d) None<br />
Q-2 15.4 × 1.61 + 7.5681 =?<br />
(a) 32.3651<br />
(b) 32.3621<br />
(c) 32.5361<br />
(d) None<br />
Q-3 0.2 × 0.004 × 0.006 × 0.037<br />
(a) 0.0000003<br />
(b) 0.0000002<br />
(c) .003<br />
(d) None<br />
Q-4 (15 + 34)2 + (15 – 34)2 / (15 × 15) + (34 × 34) =?<br />
(a) 3<br />
(b) 4<br />
(c) 2<br />
(d) 6<br />
Q-5 x/25 = 25/x<br />
Find x<br />
(a) 26<br />
(b) 25<br />
(c) 27<br />
(d) 28<br />
Q-6 Manish read 3/5 of the book on first day & 3/8 of the remaining on the next day There are 30 page remain unread, tell how many page a book contain.<br />
(a) 120<br />
(b) 125<br />
(c) 130<br />
(d) 135<br />
Q-7 A % means<br />
(a) A/100<br />
(b) (A/100 × 100)<br />
(c) A<br />
(d) None<br />
Q-8 Convert 5/2 on %?<br />
(a) 250%<br />
(b) 256%<br />
(c) 251%<br />
(d) None<br />
Q-9 Convert 40% in to fraction?<br />
(a) 2/3<br />
(b) 2/5<br />
(c) 3/1<br />
(d) None<br />
Q-10 10% of 20% of 100<br />
(a) 3<br />
(b) 2<br />
(c) 4<br />
(d) 5<br />
Q-11 The sales tax on computer of Rs 4500 at 3% is<br />
(a) 140<br />
(b) 135<br />
(c) 140<br />
(d) 190<br />
Q-12 Population of village increase from 500 to1000 what is the percentage increase in .<br />
(a) 100%<br />
(b) 150%<br />
(c) 125%<br />
(d) 119%<br />
Q-13 Income of Rajat increase from 10000 to 12500 RS, what is increase %<br />
(a) 25%<br />
(b) 30%<br />
(c) 28%<br />
(d) 29%<br />
Q-14 If Sunil income is 20000 RS of his salary increase 25% Find the new salary.<br />
(a) 25000<br />
(b) 28000<br />
(c) 19000 <br />
(d) 35000<br />
Q-15 Mohan’s monthly income is 5000, He donate 50% of his income. What will be his yearly savings?<br />
(a) 15000<br />
(b) 25000<br />
(c) 30000<br />
(d) None<br />
Q-16 If 25% of a No. is 520. Find the Number.<br />
(a) 2015<br />
(b) 2080<br />
(c) 2021<br />
(d) 1900<br />
Q-17 20 paise is what % of one Rupees.<br />
(a) 10%<br />
(b) 20%<br />
(c) 30%<br />
(d) 19%<br />
Q-18 25% of one Rs is<br />
(a) 25 Paise<br />
(b) 20 Paise<br />
(c) 50 Paise<br />
(d) None<br />
Q-19 What will be fourth proportional of 7,8,9<br />
(a) 72/8<br />
(b) 72/7<br />
(c) 19/8<br />
(d) 19<br />
Q-20 Rajeev’s income is 50%more then Bahadur’s income. Find how much percent in Bahadur’s income less than Rajeev’s income.<br />
(a) 33 ½<br />
(b) 35 ½<br />
(c) 36 ½<br />
(d) 30 ½<br />
Q-21 12 % of x = 50<br />
Find x<br />
(a) 417.1<br />
(b) 417.5<br />
(c) 411.8<br />
(d) None<br />
Q-22 Find the No. whose 5% is 50<br />
(a) 5000<br />
(b) 4000<br />
(c) 19000<br />
(d) None<br />
Q-23 10% of 1800 =?<br />
(a) 190<br />
(b) 180<br />
(c) 170<br />
(d)None<br />
Q-24 35% of 1400 =?<br />
(a) 470<br />
(b) 490<br />
(c) 491<br />
(d) None<br />
Q-25 50% of 170 is<br />
(a) 85<br />
(b) 90<br />
(c) 22<br />
(d) 119<br />
<br />
<h3 style="text-align: left;">
<strong><span style="color: #3d85c6;">Answers:</span></strong></h3>
1. c 7658<br />
2. b 32.3621<br />
3. b 0.0000002<br />
4. c 2<br />
5. b 25<br />
6. a 120<br />
7. a A/100<br />
8. a 250%<br />
9. b 2/5<br />
10. b 2<br />
11. b 135<br />
12. a 100%<br />
13. a 25%<br />
14. a 25000<br />
15. c 30000<br />
16. b 2080<br />
17. b 20<br />
18. a 25 Paise<br />
19. b 72/7<br />
20. a 33 ½<br />
21. b 477.5<br />
22. a 5000<br />
23. b 180<br />
24. b 490<br />
25. a 85<br />
<br />
<h4 style="text-align: left;">
<strong><span style="color: #3d85c6;">Reasons:</span></strong></h4>
4. In order to solve it use<br />
(x +y)2 + (x – y)2 / x2 +y2 = 2<br />
5. x2 = 625, x = 25<br />
6. On first day = 3/5 (A)<br />
Remaining part = (1 – 3A/5) = 2A/5<br />
On second day = 3/8(2A/5) = 3A/20<br />
Unread = 1 – (3A/5 + 3A/20) = 1 – (12A + 3A)/20<br />
= 1 – 15A/20 = 5A/20<br />
= A/4<br />
8. 5/2= (5/2 × 100)% = (25)%<br />
9. 40% = 40/100 = 2/5<br />
10. (10/100) × (20/100) × 100 = 2<br />
11. 4500 × 3/100 = 135<br />
15. Since he donate 50% of his income.<br />
Then his saving is 50%<br />
His monthly savings = 5000 × 50/100 = 2500<br />
His yearly Savings = 500 × 50/100 × 12 = 30000<br />
16 Let No. = A<br />
25/100A = 520, A = 520 × 4 = 2080<br />
19 7:8 = 9:x<br />
7/8 = 9/x, x = 72/7<br />
20 Bahadur’s income is less than Rajiv’s Income = 50/(100 + 50) × 100 = 50/150 × 100 = 33 ½<br />
21 12/100 x = 50, x = 5000/12 = 417.5<br />
24 35/100 × 1400 = 490<br />
25 50/100 × 170 = 85</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0India20.593684 78.96288-7.7165498361788458 43.80663 48.903917836178849 114.11913tag:blogger.com,1999:blog-8425338618458627045.post-4939449217683903192020-08-17T06:59:00.000-07:002020-08-17T06:59:31.598-07:00Quanta 4<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<span style="color: #3d85c6;"> Quanta</span></h2>
<br />
Q-1 (5 of 3) ÷ (10× 3 × 2)<br />
(a) ¼<br />
(b) 1/5<br />
(c) 1/6<br />
(d) 1/7<br />
Q-2 Find the value of x in 125/square root of x = 5<br />
(a) 650<br />
(b) 625<br />
(c) 125<br />
(d) None<br />
Q-3 What will be the triplicate ratio of 2 : 3?<br />
(a) 25:135<br />
(b) 8:27<br />
(c) 9:35<br />
(d) 4:121<br />
Q-4 x2 – y2 =?<br />
(a) (x +y) (x + 2y)<br />
(b) (x – y) (x+ y)<br />
(c) (x + 2y) (x – 3y)<br />
(d) None<br />
Q-5 HCF of (6, 18)<br />
(a) 2<br />
(b) 3<br />
(c) 6<br />
(d) 9<br />
Q-6 Which of them is a natural No.?<br />
(a) 2<br />
(b) –1<br />
(c) 0<br />
(d) –5<br />
Q-7 HCF of (12 24)<br />
(a) 4<br />
(b) 3<br />
(c) 12<br />
(d) 19<br />
Q-8 What will be duplicate ratio of 5:9?<br />
(a) 25:91<br />
(b) 25:81<br />
(c) 25:21<br />
(d) None<br />
Q-9 10% of 5000 =?<br />
(a) 600<br />
(b) 25<br />
(c) 500<br />
(d) None<br />
Q-10 Square root of (64/81) x/3, find the x<br />
(a) 5/4<br />
(b) 8/3<br />
(c) 8/11<br />
(d) None<br />
Q-11 Which is least no. of 3 digit?<br />
(a) 199<br />
(b) 100<br />
(c) 101<br />
(d) None<br />
Q-12 6495 + 123y = 7726<br />
What will be value of y<br />
(a) 1<br />
(b) 2<br />
(c) 3<br />
(d) 4<br />
Q-13 500 ÷ x = 50<br />
(a) 10<br />
(b) 15<br />
(c) 20<br />
(d) 25<br />
Q-14 Which of them is a prime number?<br />
(a) 7<br />
(b) 0<br />
(c) 1<br />
(d) None<br />
Q-15 If gcd (5, 6) = 1, then 5 & 6 are<br />
(a) Coprime<br />
(b) Prime<br />
(c) Natural No.<br />
(d) None<br />
Q-17 Which one of them is larger?<br />
(a) ½<br />
(b) 1/3<br />
(c) ¼<br />
(d) 1/5<br />
Q-18 200/15 = x/60, find x<br />
(a) 800<br />
(b) 900<br />
(c) 1000<br />
(d) None<br />
Q-19 400 + 15 ÷ 5<br />
(a) 400/5<br />
(b) 400/3<br />
(c) a & b<br />
(d) None<br />
Q-20 Which is a Prime Number immediate after 35?<br />
(a) 38<br />
(b) 37<br />
(c) 31<br />
(d) None<br />
Q-21 Which is not a Prime Number?<br />
(a) 100<br />
(b) 101<br />
(c) 103<br />
(d) 107<br />
Q-22 L.C.M. of 4, 5, 7, 15<br />
(a) 210<br />
(b) 211<br />
(c) 225<br />
(d) None<br />
Q-23 (a + b)2 = a2 + b2 +2a?<br />
(a) b<br />
(b) a<br />
(c) x<br />
(d) None<br />
Q-24 HCF of square root of 35 & square root of 28<br />
(a) square root of 5<br />
(b) square root of 7<br />
(c) square root of 11<br />
(d) square root of 25<br />
Q-25 What is sub-Triplicate ratio of 64:81<br />
(a) 5:4<br />
(b) 8:9<br />
(c) 11:4<br />
(d) 9:11<br />
<h3 style="text-align: left;">
<span style="color: #3d85c6;">Answers With Reason</span></h3>
1. a 1/4<br />
2. b 625<br />
3. b 8:27 <br />
4. b (x –y) (x + y)<br />
5. c 6<br />
6. a 2<br />
7. c 12<br />
8. b 25:81<br />
9. c 500<br />
10. b 8/3<br />
11. b 100<br />
12. a 1<br />
13. a 10<br />
14. a 7<br />
15. a Coprime<br />
16. a 1<br />
17. a 1/2<br />
18. a 800<br />
19. b 400/3<br />
20. b 37<br />
21. a 100<br />
22. a 210<br />
23. a b<br />
24. b Ö7<br />
25. b 8:9<br />
Reasons:<br />
1 15/60 = ¼<br />
2 125/square root of x = 5, 25 = square root of x<br />
Squaring<br />
625 = x<br />
10 8/9 = x/3<br />
8/3 = x<br />
12 6 4 9 5<br />
1 2 3 y y = 1<br />
_______________<br />
7 7 2 6<br />
________________<br />
19 400 + (15/5) = 400/3</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0tag:blogger.com,1999:blog-8425338618458627045.post-81989938422581397182020-08-17T06:57:00.000-07:002020-08-17T06:57:06.343-07:00Quanta 3<div dir="ltr" style="text-align: left;" trbidi="on">
<h3 class="post-title entry-title" style="background-color: #f6f6f6; color: #9e5205; font-family: "verdana", sans-serif; font-size: 21px; letter-spacing: -1px; margin: 0px;">
</h3>
<div class="post-header" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;">
<div class="post-header-line-1">
</div>
</div>
<div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;">
<h2 style="text-align: left;">
<span style="color: #3d85c6;"><span class="IL_AD" color="" id="IL_AD2" style="background-attachment: scroll; background-color: transparent; background-image: none; background-position: 0% 50%; background-repeat: repeat; border-bottom: 1px solid rgb(221, 60, 66); color: #dd3c42; cursor: pointer; display: inline; float: none; padding: 0px 0px 1px; position: static; text-decoration: underline;">Mock Test</span> Quantitative Ability 3</span></h2>
<h4 style="text-align: left;">
Only one of the four alternatives given under each <span class="IL_AD" color="" id="IL_AD1" style="background-attachment: scroll; background-color: transparent; background-image: none; background-position: 0% 50%; background-repeat: repeat; border-bottom: 1px solid rgb(221, 60, 66); color: #dd3c42; cursor: pointer; display: inline; float: none; padding: 0px 0px 1px; position: static; text-decoration: underline;">question</span> is correct. Choose the correct alternatives</h4>
<br />
Q-1 The L.C.M. of 3/9, 4/12, 8/24 is----.<br />
(a) 1/3<br />
(b) 2/3<br />
(c) 8<br />
(d) 1</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-2 Which is the smallest out of the following?<br />
(a) (4)2 + (6)2<br />
(b) (7)2 + (3)2<br />
(c) (5)2 + (8)2<br />
(d) (3)2 + (8)2</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-3 How will you remove ‘?’ out of the following 25/3% of ? = 150<br />
(a) 1000<br />
(b) 900<br />
(c) 500<br />
(d) 1800</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-4 Remove the question mark out of the following:<br />
? % of 30 + 40% of 40 = 50% of 50<br />
(a) 60<br />
(b) 40<br />
(c) 30<br />
(d) 80</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-5 Remove the question mark out of the following:<br />
Ö225/Ö9 = 625/ ?<br />
(a) 125<br />
(b) 100<br />
(c) 115<br />
(d) 120</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-6 [(3.5)2 - (1.5)2 ] / (3.5 - 1.5)<br />
(a) 5<br />
(b) 2<br />
(c) 10<br />
(d) 5.25<br />
Q-7 1.6 ´ 0.25 ´ 0.4=<br />
(a) 1.6<br />
(b) 0.16<br />
(c) 1600<br />
(d) 16</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-8 Three person A,B and C distribute among themselves RS. 2600 in the ratio 11:18:23. The<br />
share of B will be<br />
(a) Rs. 500<br />
(b) Rs. 800<br />
(c) Rs. 600<br />
(d) Rs. 900</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-9 How many numbers between 15 and 90 are <span class="IL_AD" color="" id="IL_AD4" style="background-attachment: scroll; background-color: transparent; background-image: none; background-position: 0% 50%; background-repeat: repeat; border-bottom: 1px solid rgb(221, 60, 66); color: #dd3c42; cursor: pointer; display: inline; float: none; padding: 0px 0px 1px; position: static; text-decoration: underline;">perfect squares</span>?<br />
(a) 7<br />
(b) 9<br />
(c) 8<br />
(d) 6</div><div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;"><br />
Q-10 A fruit- seller sells 5 apples at the <span class="IL_AD" color="" id="IL_AD3" style="background-attachment: scroll; background-color: transparent; background-image: none; background-position: 0% 50%; background-repeat: repeat; border-bottom: 1px solid rgb(221, 60, 66); color: #dd3c42; cursor: pointer; display: inline; float: none; padding: 0px 0px 1px; position: static; text-decoration: underline;">cost price</span> of 6 apples. Find his profit percent<br />
(a) 25 Percent<br />
(b) 15 Percent<br />
(c) 20 Percent<br />
(d) 16 Percent</div>
<div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;">
<br /></div>
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<h3 style="text-align: left;">
<b><u><span style="color: #3d85c6;">Answer With Reasons:-</span></u></b></h3>
<br />
1. (a) 1/3<br />
L.C.M. of 3/9, 4/12, 8/24 = L.C.M. of 1/3, 1/3, 1/3<br />
= L.C.M. of numerators / H.C.F. of denomenators<br />
= L.C.M. of 1, 1, 1/ H.C.F. of 3, 3, 3 = 1/3<br />
<br />
2. (a) (4)2 + (6)2<br />
A = 72 + 32 = 49 +9 = 58<br />
B = 52 + 82 = 25 + 64 = 89<br />
C = 42 + 62 = 16 + 36 = 52<br />
D = 32 + 82 = 9 + 64 = 73<br />
Clearly (c) is the smallest<br />
3. (d) 1800<br />
25/3% of? = 150 = 25/ (3 ´ 100) of? = 150<br />
? = (150 ´ 3 ´ 100) / 25 = 1800<br />
4. (c) 30<br />
? % of 30 + 40% of 40 = 50% of 50<br />
?/100 ´ 30 + 40/100 ´ 40 = 50/100 ´ 50<br />
3/10 ´ ? + 16 = 25<br />
3/10 ´ ? = 25 - 16 = 9<br />
? = (9 ´ 10) /3= 30<br />
5. (a) 125<br />
Ö225/Ö9 = 625/?<br />
15/3 = 625/? = 15 ´ ? = 625 ´ 3<br />
? = (625 ´ 3) / 15 = 125<br />
6. (a) 5<br />
[(3.5)2 - (1.5)2] / (3.5 - 1.5) = [(3.5 + 1.5) (3.5 - 1.5)] / (3.5 -1.5) = (3.5 +<br />
1.5) = 5<br />
7. (b) 0.16<br />
1.6 ´ 0.25 ´ 0.4 = 1.6 ´ .100 = 1.6 ´ .1 = 0.16<br />
8. (d) Rs. 900<br />
Ratio = 11: 18: 23<br />
Proportional sum = 11 + 18 + 23 = 52<br />
B’s share = 18/52 ´ 2600 = Rs. 900<br />
9. (d) 6<br />
Numbers between 15 and 90, which are perfect squares, are 16, 25, 36, 49, 64, 81<br />
These are six numbers<br />
10. (c) 20 Percent<br />
Let cost price of 6 apples be Re. 1<br />
S.P. of 5 apples = Re. 1<br />
S.P. of 1 apples = Re. 1/5<br />
S.P. of 6 apples = 1/5 ´ 6 = Rs. 6/5<br />
Profit = 6/5 - 1 = 1/5<br />
Profit% = (1/5) / 1 ´ 100 = 20%</div>
<div class="post-body entry-content" id="post-body-6853694173365103331" itemprop="" style="background-color: #f6f6f6; font-family: "trebuchet ms", "trebuchet", "verdana", sans-serif; font-size: 13px;">
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<br /></div>
</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0tag:blogger.com,1999:blog-8425338618458627045.post-43981965557330705322016-02-13T04:35:00.000-08:002016-02-13T04:35:52.962-08:00Quanta Test 2<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<h2 style="text-align: left;">
<strong><span style="color: #3d85c6;">Quanta Test</span><span style="color: #990000;"> </span></strong></h2>
Q-1 011 =?<br />
(a) 11 (b) 0<br />
(c) 2 (d) None<br />
<br />
Q-2 Ö60 ´ Ö13<br />
(a) Ö785 (b) Ö780<br />
(c) Ö777 (d) None<br />
Q-3 1 is<br />
(a) Prime number<br />
(b) Neither prime nor composite<br />
(c) a & b<br />
(d) None<br />
Q-4 If S=15, P = 21, find eq.<br />
(a) x2 + 12x + 19 = 0<br />
(b) x2 + 26x + 181 = 0<br />
(c) x2 + 15x + 21 = 0<br />
(d) None<br />
Q-5 Find the sum of 320th term<br />
(a) 631 (b) 630<br />
(c) 665 (d) 6:9<br />
Q-6 What will be sum of 4 + 6 + 8 + 10 + 12 + 14<br />
(a) 521 (b) 54<br />
(c) 63 (d) 31<br />
Q-7 Find 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16<br />
(a) 73 (b) 74<br />
(c) 71 (d) 72<br />
Q-8 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15<br />
(a) 106 (b) 107<br />
(c) 108 (d) 109<br />
Q-9 75 ´ 35<br />
(a) 2635 (b) 2625<br />
(c) 2665 (d) None<br />
Q-10 Find 75 ´ 75<br />
(a) 5663 (b) 5625<br />
(c) 5663 (d) 1925<br />
Q-11 Find 315.65 + 30.25 – 119.361<br />
(a) 225 (b) 226.539<br />
(c) 236.563 (d) None<br />
Q-12 10% of 90 = x (15)<br />
Find the value of x<br />
(a) 3/91 (b) 3/5<br />
(c) 3/11 (d) None<br />
Q-13 x % of 120 + 315 = 300<br />
(a) – 160/14 (b) – 150/12<br />
(c) – 130/21 (d) None<br />
Q-14 Find (522 – 502) / (52 – 50) (52 + 50)<br />
(a) 2 (b) 1<br />
(c) 3 (d) 4<br />
Q-15 15.21 + 14.263 + x = 35.65<br />
(a) 6.178 (b) 6.177<br />
(c) 6.1 (d) None<br />
Q-16 Find (153 + 123) /(15)2 – 15 ´ 12 + (12)2<br />
(a) 26 (b) 27<br />
(c) 28 (d) 29<br />
Q-17 15.63 + 56 + 9.631 – x = 25.65<br />
(a) 55.611 (b) 56.65<br />
(c) 57.65<br />
(d) 58.671<br />
Q-18 (99) 11<br />
(a) 1081<br />
(b) 1089<br />
(c) 1079<br />
(d) 1069<br />
Q-19 29/6 + 2 ⅓ + 31/6 = x<br />
Find x<br />
(a) 13.3<br />
(b) 13.4<br />
(c) 13.5<br />
(d) None<br />
Q-20 Ö125/5 + Ö81/3 + Ö25/5 = x<br />
Find x<br />
(a) 5<br />
(b) 6<br />
(c) 7<br />
(d) 8<br />
Q-21 Ö196 + Ö256 = x<br />
(a) 30<br />
(b) 32<br />
(c) 31<br />
(d) 63<br />
Q-22 Ö169/Ö225 = Ö256/x<br />
Find x<br />
(a) 18.46<br />
(b) 18.48<br />
(c) 18.96<br />
(d) 18.41<br />
Q-23 (15 ´ 13) + 16 – 11 = x<br />
Find x<br />
(a) 200<br />
(b) 205<br />
(c) 209<br />
(d) 210<br />
Q-24 15 + 65 ¸ 13 – 11 ´ 13 = x<br />
(a) – 122<br />
(b) – 123<br />
(c) – 124<br />
(d) – 129<br />
Q-25 105 + 65 – 56 of 2 = x <br />
(a) 55<br />
(b) 58<br />
(c) 59<br />
(d) 60<br />
<br />
<h3 style="text-align: left;">
<strong><span style="color: #3d85c6;">Answers:</span></strong></h3>
1. b 0<br />
2. b Ö780<br />
3. b Neither Prime nor composite<br />
4. b x2 + 26x + 181 = 0<br />
5. b 630<br />
6. b 54<br />
7. d 72<br />
8. c 108<br />
9. b 2625<br />
10. b 5625<br />
11. b 226.539<br />
12. b 3/5<br />
13. b –150/12<br />
14. b 1<br />
15. b 6.177<br />
16. b 27<br />
17. a 55.611<br />
18. b 1089<br />
19. c 13.5<br />
20. b 6<br />
21. a 30<br />
22. a 18.46<br />
23. a 200<br />
24. b –123<br />
25. b 58<br />
<br />
<strong><span style="color: #0b5394;">Reasons: </span><span style="color: #990000;"> </span></strong>5 Sum of 320th term = 3(20(20 + 1)/2 = 30(21) = 630<br />
6 4 + 6 + 8 + 10 + 12 + 14 = 2(2 + 3 + 4 + 5 + 6 + 7 +)<br />
= 2(1 + 2 + 3 + 4 + 5 + 6 + 7 – 1)<br />
=2 (å7 – 1)<br />
= 2 (7(7 +1)/2 – 1) = 2 (7 (8)/2) – 1)<br />
= 2 (28 – 1 ) = 2 (27) =54<br />
7 Sum will be = 8(8 + 1) =723<br />
8 Sum will be = (15 + 1)2/2 = 256/2 =108<br />
9 75 ´ 35 = 7 ´ 3 + 5, 5 ´ 5 = 2625<br />
10 75 ´ 75 = 7 (7+1) (5´5) = 5625<br />
12 (10/100) ´9 = x(15) = 15x = 9, x = 9/5 = 3/5<br />
13 (x/100) (120) + 315 = 300<br />
(12/10) x + 315 = 300<br />
12x/10 = – 15<br />
12x = –150<br />
x = –150/12<br />
14 (52 – 50) (52 + 50)/(52 – 50) (52 + 50) = 1<br />
16 Here we use<br />
x3 + y3/ x2 – xy + y2 = x + y<br />
15 + 12 = 27<br />
18 (100 – 1) 11 = 1100 – 11 = 1089<br />
19 29/6 + 7/3 + 31/6 = x<br />
(29 + 21 + 31)/6 = x<br />
51/6 = x, x = 13.5<br />
20 Ö16/2 + Ö81/3 + Ö25/5 = x<br />
4/2 + 9/3 + 5/5 = x<br />
2 + 3 + 1 = x, x= 6<br />
21 Ö196 + Ö256 = 14 + 16 = 30<br />
22 13/15 = 16/x = x = (16 ´ 15)/13 = 18.46<br />
23 (15´ 13) + 16 – 11 = x<br />
195 + 16 – 11 = x<br />
211 – 11 = x, x =200<br />
24 15 + 5 – 11 ´ 13 = x<br />
15 ´ 5 – 143 = x<br />
20 – 143 = x, x = – 123<br />
25 105 + 65 – 112 = 58</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-53921686581872059382016-02-09T22:24:00.000-08:002016-02-09T22:24:03.217-08:00Quantitative Aptitude Test <div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<span style="color: #3d85c6;">Quantitative Aptitude</span></h2>
Q-1 In 5/6: : 9/8, 5/6 is<br />
(a) IInd ratio (b) Ist ratio (c) Third ratio (d) None<br />
<br />
Q-2 In 5/6 : : 9/5, 9/5 is<br />
(a) Ist ratio (b) Third ratio (c) IInd ratio (d) None<br />
<br />
Q-3 In 4/5 : : 9/7, : : is the symbol for<br />
(a) Ratio (b) Proportional (c) a & b (d) None<br />
<br />
Q-4 60 ´70 ´ 130<br />
(a) 42 (b) 91 (c) 1 (d) None<br />
<br />
Q-5 315/(150)<br />
(a) 315 (b) 316 (c) 0 (d) ¥<br />
<br />
Q-6 73 + 37<br />
(a) 1110 (b) 110 (c) 100 (d) None<br />
<br />
Q-7 Find (112 – 102) / (11 + 10)<br />
(a) 1 (b) 2 (c) 3 (d) 4<br />
<br />
Q-8 Find 35 + 4(1/5) ¸ 4/5<br />
(a) 161/5 (b) 161/4 (c) 161/8 (d) 161/9<br />
<br />
Q-9 In (x + 6)14, How many terms are there<br />
(a) 15 (b) 16 (c) 17 (d) 18<br />
<br />
Q-10 In (x + y)21, how many middle terms are there<br />
(a) 2 (b) 1 (c) 3 (d) 4<br />
<br />
Q-11 underroot 0.0196<br />
(a) 0.15 (b) 0.16 (c) 0.14 (d) 0.19<br />
<br />
Q-12 underroot 0.0225<br />
(a) 0.14 (b) 0.15 (c) 0.16 (d) 0.18<br />
<br />
Q-13 Find 3 underroot 0.000081<br />
(a) 0.009 (b) 0.09 (c) 0.0009 (d) 0.9<br />
<br />
Q-14 (515 ´ 252) / (125)2<br />
(a) 511 (b) 512 (c) 513 (d) 514<br />
<br />
Q-15 3 underroot 1 Find n<br />
(a) 1/3 (b) 1/ 2 (c) 1/ 4 (d) 1 / 5<br />
<br />
Q-16 252 =?<br />
(a) 625 (b) 636 (c) 666 (d)639<br />
<br />
Q-17 (26)2 =?<br />
(a) 625 (b) 635 (c) 665 (d) 676<br />
<br />
Q-18 (192 – 182) + (18)2<br />
(a) 365 (b) 361 (c) 396 (d) 371<br />
<br />
Q-19 underroot 50 ´ underroot 3 ´ underroot 6<br />
(a) 35 (b) 34 (c) 30 (d) 40<br />
<br />
Q-20 LCM 5, 10, 15, 20<br />
(a) 65 (b) 60 (c) 70 (d) 90<br />
<br />
Q-21 HCF 22 ´ 42 ´ 52, 23 ´ 4 ´ 53, 2 ´ 31 ´ 45<br />
(a) 8 (b) 10 (c) 6 (d) 4<br />
<br />
Q-22 Which is smaller No. of four digit?<br />
(a) 1000 (b) 9999 (c) 1550 (d) 2000<br />
<br />
Q-23 Mean Proportion of 4 and 5<br />
(a) 9 (b) underroot20 (c) underroot 21 (d) underroot 22<br />
<br />
Q-24 What will be duplicate ratio of 7:8<br />
(a) 49:64 (b) 7:64 (c) 49:8 (d) None<br />
<br />
Q-25 Find triplicate ratio of 1:5 <br />
(a) 1:125 (b) 1:25 (c) 1:64 (d) 1:29<br />
<h3 style="text-align: left;">
<span style="color: #3d85c6;">Answers:</span></h3>
1. b Ist ratio<br />
2. c IInd ratio<br />
3. b Proportional<br />
4. c 1<br />
5. a 315<br />
6. b 110<br />
7. a 1<br />
8. b 161/4<br />
9. a 15<br />
10. a 2<br />
11. c 0.14<br />
12. b 0.15<br />
13. b 0.09<br />
14. c 513<br />
15. b 1/2<br />
16. a 625<br />
17. d 676<br />
18. b 361<br />
19. c 30<br />
20. b 60<br />
21. a 8<br />
22. a 1000<br />
23. b underroot 20<br />
24. a 49:64<br />
25. a 1:125<br />
<h4 style="text-align: left;">
<span style="color: #3d85c6; font-size: 130%;"><strong>Reasons:</strong></span></h4>
4 60 ´70 ´ 130 = 1 ´ 1 ´ 1 = 1<br />
6 73 + 37 = (7 +3) ´ 11 = 110<br />
7 (112 – 102) / (11 + 10) = (11 – 10) (11 + 10)/(11 + 10) = 1<br />
8 35 + 21/5/4/5 = 35 + 21/4 = 140 + 21/4 = 161/4<br />
10 Since 21 + 1 = 22 is even<br />
\ it have two middle term<br />
14 (515 ´ 252) / (125)2 = 515´ (52)2/(53)2= 515 ´ 54 / 56<br />
515 + 4 / 56 = 519/56 = 519 – 6 = 513<br />
15 3 underroot 3 = 3n + 1 = (33)1/2 = 3n + 1<br />
33/2 = 3n + 1<br />
n + 1 = 3/2<br />
n = 3/2 – 1 = ½<br />
16 Since 625 is the only No. which unit digit = 5<br />
18 192 – 182 + 182 = 192 = 361<br />
19 underroot 50 ´ underroot 3 ´ underroot 6 = underroot (5 ´ 3 ´ 6) = underroot 900 = 30<br />
21 HCF in 21 ´ 41 = 8<br />
23 Mean proportion of 4 & 5 is underroot (4 ´ 5) = underroot 20<br />
25 Triplicate ratio of 1 :5 is 13 : 53 = 1:125</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-68536941733651033312016-01-23T06:24:00.000-08:002016-01-23T06:24:10.178-08:00Quanta 1<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<span style="color: #3d85c6;">Mock Test Quantitative Ability 1</span></h2>
Only one of the four alternatives given under each question is correct. Choose the correct alternatives<br />
<br />
Q-1 The L.C.M. of 3/9, 4/12, 8/24 is----.<br />
(a) 1/3 <br />
(b) 2/3<br />
(c) 8 <br />
(d) 1<br />
Q-2 Which is the smallest out of the following?<br />
(a) (4)2 + (6)2 <br />
(b) (7)2 + (3)2<br />
(c) (5)2 + (8)2 <br />
(d) (3)2 + (8)2<br />
Q-3 How will you remove ‘?’ out of the following 25/3% of ? = 150<br />
(a) 1000 <br />
(b) 900<br />
(c) 500 <br />
(d) 1800<br />
Q-4 Remove the question mark out of the following:<br />
? % of 30 + 40% of 40 = 50% of 50<br />
(a) 60 <br />
(b) 40<br />
(c) 30 <br />
(d) 80<br />
Q-5 Remove the question mark out of the following:<br />
Ö225/Ö9 = 625/ ?<br />
(a) 125 <br />
(b) 100<br />
(c) 115 <br />
(d) 120<br />
Q-6 [(3.5)2 - (1.5)2 ] / (3.5 - 1.5)<br />
(a) 5 <br />
(b) 2<br />
(c) 10 <br />
(d) 5.25<br />
Q-7 1.6 ´ 0.25 ´ 0.4=<br />
(a) 1.6 <br />
(b) 0.16<br />
(c) 1600 <br />
(d) 16 <br />
Q-8 Three person A,B and C distribute among themselves RS. 2600 in the ratio 11:18:23. The<br />
share of B will be<br />
(a) Rs. 500 <br />
(b) Rs. 800<br />
(c) Rs. 600 <br />
(d) Rs. 900<br />
Q-9 How many numbers between 15 and 90 are perfect squares?<br />
(a) 7 <br />
(b) 9<br />
(c) 8 <br />
(d) 6<br />
Q-10 A fruit- seller sells 5 apples at the cost price of 6 apples. Find his profit percent<br />
(a) 25 Percent <br />
(b) 15 Percent<br />
(c) 20 Percent <br />
(d) 16 Percent<br />
Q-11 A truck needs 15 liters of fuel for covering 255 km. How much fuel will it need to cover 170 km ?<br />
(a) 15 liters <br />
(b) 9 liters<br />
(c) 10 liters <br />
(d) 8 liters<br />
Q-12 How many numbers are there in 9000, 1000, 1111, 9999 which have more than 4 digits?<br />
(a) 2 <br />
(b) 3<br />
(c) 1 <br />
(d) None<br />
Q-13 How many numbers between 200 and 600 (both the numbers inclusive) are divisible by 4,5 and 6?<br />
(a) 5 <br />
(b) 7<br />
(c) 6 <br />
(d) 4<br />
Q-14 A school has only 3 classes which contain 40,50 and 60 students respectively. The pass percentage of these classes is 10,20 and 10 respectively. The pass percentage of the school is<br />
(a) 40/3 <br />
(b) 13 ½<br />
(c) 13 ½ <br />
(d) 27/2<br />
Q-15 the average age of 11 persons is 60 years. If the average age of the first 5 is 58 years and that of the last 5 is 56 years and that of the last 5 is 56 years, then the age of 6th person is<br />
(a) 85 years <br />
(b) 90 years<br />
(c) 80 years <br />
(d) 95 years<br />
Q-16 30% of 240 + 10% of 200 is equal to<br />
(a) 82 <br />
(b) 62<br />
(c) 92 <br />
(d) 72<br />
Q-17 999 ¸ 3 ¸ 0.3 is equal to<br />
(a) 333 <br />
(b) 222<br />
(c) 1110 <br />
(d) 444<br />
Q-18 Divide Rs. 7700 among A, B and C in the ratio of 5:4:2. The shares of A, B, C are<br />
(a) 1400, 3500, 2800 <br />
(b) 3500, 2800, 1400<br />
(c) 2800, 1400, 3500 <br />
(d) None of these<br />
Q-19 The cube of the figure 11 is:<br />
(a) 1031 <br />
(b) 1231<br />
(c) 1131 <br />
(d) 1331<br />
Q-20 The average of 3 numbers is 24. If two of the numbers are 16 and 26, the third number is<br />
(a) 32 <br />
(b) 34<br />
(c) 28 <br />
(d) 30<br />
Q-21 The total number of Prime numbers less than 30 is<br />
(a) 10 <br />
(b) 9<br />
(c) 12 <br />
(d) 11<br />
Q-22 The greatest fraction among 7/8, 8/9, 9/10, 11/15 is<br />
(a) 11/15 <br />
(b) 9/10<br />
(c) 8/9 <br />
(d) 7/8<br />
Q-23 If we divide 83 by three, the remainder will be<br />
(a) 3 <br />
(b) 2<br />
(c) 1 <br />
(d) 0<br />
Q-24 Which of these is the smallest?<br />
(a) -5 <br />
(b) -4<br />
(c) 2 <br />
(d) 0<br />
Q-25 In how many days will 8 men complete a work which 12 men take 24 days to finish?<br />
(a) 38 days <br />
(b) 36 days<br />
(c) 20 days <br />
(d) 25 days<br />
<h3 style="text-align: left;">
<strong><span style="color: #3d85c6;">Answer With Reasons:-</span></strong></h3>
<br />
1. (a) 1/3 <br />
L.C.M. of 3/9, 4/12, 8/24 = L.C.M. of 1/3, 1/3, 1/3<br />
= L.C.M. of numerators / H.C.F. of denomenators<br />
= L.C.M. of 1, 1, 1/ H.C.F. of 3, 3, 3 = 1/3<br />
<br />
2. (a) (4)2 + (6)2 <br />
A = 72 + 32 = 49 +9 = 58<br />
B = 52 + 82 = 25 + 64 = 89<br />
C = 42 + 62 = 16 + 36 = 52<br />
D = 32 + 82 = 9 + 64 = 73<br />
Clearly (c) is the smallest <br />
3. (d) 1800<br />
25/3% of? = 150 = 25/ (3 ´ 100) of? = 150<br />
? = (150 ´ 3 ´ 100) / 25 = 1800<br />
4. (c) 30 <br />
? % of 30 + 40% of 40 = 50% of 50<br />
?/100 ´ 30 + 40/100 ´ 40 = 50/100 ´ 50<br />
3/10 ´ ? + 16 = 25<br />
3/10 ´ ? = 25 - 16 = 9<br />
? = (9 ´ 10) /3= 30<br />
5. (a) 125<br />
Ö225/Ö9 = 625/?<br />
15/3 = 625/? = 15 ´ ? = 625 ´ 3<br />
? = (625 ´ 3) / 15 = 125<br />
6. (a) 5<br />
[(3.5)2 - (1.5)2] / (3.5 - 1.5) = [(3.5 + 1.5) (3.5 - 1.5)] / (3.5 -1.5) = (3.5 + <br />
1.5) = 5<br />
7. (b) 0.16<br />
1.6 ´ 0.25 ´ 0.4 = 1.6 ´ .100 = 1.6 ´ .1 = 0.16<br />
8. (d) Rs. 900<br />
Ratio = 11: 18: 23<br />
Proportional sum = 11 + 18 + 23 = 52<br />
B’s share = 18/52 ´ 2600 = Rs. 900<br />
9. (d) 6<br />
Numbers between 15 and 90, which are perfect squares, are 16, 25, 36, 49, 64, 81<br />
These are six numbers<br />
10. (c) 20 Percent<br />
Let cost price of 6 apples be Re. 1<br />
S.P. of 5 apples = Re. 1<br />
S.P. of 1 apples = Re. 1/5<br />
S.P. of 6 apples = 1/5 ´ 6 = Rs. 6/5<br />
Profit = 6/5 - 1 = 1/5<br />
Profit% = (1/5) / 1 ´ 100 = 20%<br />
11. (c) 10 liters <br />
Full needed for 255 km = 15 liters<br />
Fuel needed for 1 km = 15/255 liters<br />
Fuel needed for 170 km = 15/255 ´ 170 liters =10 liters<br />
12. (d) None<br />
None of the given numbers has more than four digits<br />
13. (b) 7<br />
L.C.M. of 4, 5 and 6 = 60<br />
The numbers, which are divisible by 4, 5 and 6 are also divisible by 60<br />
Required numbers between 200 and 600 are 240, 300, 360, 420, 480, 554 and 600<br />
These are 7 numbers<br />
14. (a) 40/3<br />
Numbers of Pass students in first class = 40 ´ 10 / 100 = 4<br />
Numbers of Pass students in second class = 50 ´ 20 /100 = 10<br />
Numbers of Pass students in third class = 60 ´ 10 / 100 = 6<br />
Total Students = 40 + 50 + 60 = 150<br />
Total pass students = 4 + 10 +4 = 20<br />
Total pass % = 20/150 ´ 100 = 40 / 3 = 40/3<br />
<br />
15. (b) 90 years<br />
Average age of 11 persons = 60<br />
Total age of 11 persons = 60 ´11 = 660<br />
Average age of first 5 persons = 58<br />
Total age of first 5 persons = 58 ´ 5 = 290<br />
Average age of last 5 persons = 56<br />
Total age of last 5 persons = 56 ´ 5 = 280<br />
Age of 6th person = 660 -(290 + 280)<br />
= 660 - 570 = 90 years<br />
<br />
16. (c) 92 <br />
30% of 240 + 10% of 200 = 30/100 ´ 240 + 10/100 ´ 200 = 72 + 20 = 92<br />
<br />
17. (c) 1110 <br />
999 ¸ 3 ¸ 0.3 = 999 ´ 1/3 ´ 10/3 = 1110<br />
18. (b) 3500, 2800, 1400<br />
Ratio = 5 : 4: 2<br />
Proportional sum = 5 + 4 + 2 = 11<br />
A’s share = 5/11 ´ 7700 = Rs. 3500<br />
B’s share = 4/11 ´ 7700 = Rs. 2800<br />
C’s share = 2/11 ´ 7700 = Rs. 1400<br />
19. (d) 1331<br />
Cube of 11 = (11) 3 = 11 ´ 11 ´ 11 = 1331<br />
20. (d) 30<br />
Average of 3 members = 24<br />
Sum total of these numbers = 24 ´ 3 = 72<br />
Sum of given two numbers = 16 + 26 = 42<br />
Therefore the third number = 72 - 42 = 30<br />
21. (a) 10 <br />
Prime numbers less than 30 are 2, 3, 5, 7, 11, 17, 19, 23, 29. These are 10 numbers<br />
22. (b) 9/10<br />
7/8, 8/9, 9/10, 11/15 = (315, 329, 324, 264) / 360<br />
324 is the greatest of all numerators<br />
\ 9/10 is the greatest of all given fractions<br />
23. (b) 2<br />
83 = 27 ´ 3 + 2 , So the Remainder = 2<br />
24. (a) -5 <br />
The number which lies on the left of all given numbers on the numbers line is -5. This is the least number<br />
<br />
25. (b) 36 days<br />
Time taken by 12 men to complete the work = 24 days<br />
Time taken by 1 man to complete the work = 24 ´ 12 days<br />
Time taken by 8 men to complete that work = (24 ´ 12) / 8 = 36 days</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-78639180943020129692016-01-23T06:22:00.000-08:002016-01-23T06:22:46.652-08:00Quanta 13<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<br />
<h2 style="text-align: left;">
<strong><span style="color: #3d85c6;"> Quanta</span></strong></h2>
<br />
Q-1 5x + 6 = 252, then the value of x in<br />
(a) 3<br />
(b) 4<br />
(c) –2<br />
(d) 14<br />
Q-2 a = 4, b = 9, what will be the value of<br />
1/square root of a – square root of b<br />
(a) 3<br />
(b) – 1<br />
(c) – 3<br />
(d) 5<br />
Q-3 x = 64, y = 125, then find the value of (x1/3 + y1/3)1/5<br />
(a) 101/5<br />
(b) 91/5<br />
(c) 81/5<br />
(d) None<br />
Q-4 252 – 92 / (16) 4 =?<br />
(a) 17/4<br />
(b) 17/2<br />
(c) 19/2<br />
(d) None<br />
Q-5 15.32 + 16.1 – 15.38<br />
(a) 16/04<br />
(b) 16.15<br />
(c) 16.11<br />
(d) 16.19<br />
Q-6 square root of 40 × square root of 90 =?<br />
(a) 5 square root of 10<br />
(b) 6 square root of 10<br />
(c) 11 square root of 10<br />
(d) None<br />
Q-7 515 × 54 =?<br />
(a) 560<br />
(b) 519<br />
(c) 521<br />
(d) 523<br />
Q-8 5/9 + 11/7 – 1/3 + 1/9 =?<br />
(a) 121/60<br />
(b) 120/63<br />
(c) 131/65<br />
(d) 19/65<br />
Q-9 3 ÷ 4 + 2 – 6 × 4<br />
(a) – 31<br />
(b) – 22<br />
(c) – 33<br />
(d) 64<br />
Q-10 Which is at unit place of 255 × 135 × 111?<br />
(a) 6<br />
(b) 5<br />
(c) 7<br />
(d) 1<br />
Q-11 15 ÷ 3 × 36 – 54 + 6<br />
(a) 133<br />
(b) 132<br />
(c) 158<br />
(d) None<br />
Q-12 53 – 33/(52 + 32 + 15) =?<br />
(a) 4<br />
(b) 3<br />
(c) 2<br />
(d) 4<br />
Q-13 (.31 × .31 – 0.11 × 0.11) / (0.31 + 0.11) = x, find the value of x<br />
(a) 0.50<br />
(b) 0.20<br />
(c) 0.31<br />
(d) None<br />
Q-14 151 × 99<br />
(a) 14449<br />
(b) 14551<br />
(c) 14751<br />
(d) None<br />
Q-15 99 × 99<br />
(a) 9901<br />
(b) 8801<br />
(c) 1905<br />
(d) None<br />
Q-16 11 × 31 × 55, what will be at unit place?<br />
(a) 5<br />
(b) 6<br />
(c) 7<br />
(d) 8<br />
Q-17 (a – b) (a2+ b2 +ab) =?<br />
(a) a3 – b3<br />
(b) a2 + b2<br />
(c) a + c<br />
(d) a + b<br />
Q-18 a2 – b2 = (a – b)?<br />
(a) (a + b)<br />
(b) a – b<br />
(c) a2 + b2<br />
(d) None<br />
Q-19 (15 + 25)2 – (15 – 25) 2 / 15 × 25 =?<br />
(a) 5<br />
(b) 4<br />
(c) 8<br />
(d) 9<br />
Q-20 4 (– 3) ) – 1) ( – 2) =?<br />
(a) – 24<br />
(b) 24<br />
(c) 15<br />
(d) 18<br />
Q-21 (–1)54 =?<br />
(a) 1<br />
(b) 2<br />
(c) – 1<br />
(d) 0<br />
Q-22 (–1) + (–3) + (–6) =?<br />
(a) – 10<br />
(b) 10<br />
(c) 11<br />
(d) 9<br />
Q-23 (–1)9 =?<br />
(a) 2<br />
(b) 1<br />
(c) – 1<br />
(d) 34<br />
Q-24 1 + 1/(1/2) + 1/3 =?<br />
(a) 10/5<br />
(b) 10/3 <br />
(c) 9/5<br />
(d) 11/3<br />
Q-25 1 + 1/(1 + ½) = ?<br />
(a) 5/4<br />
(b) 5/2<br />
(c) 5/9<br />
(d) 15/4<br />
<br />
<h3 style="text-align: left;">
<span style="color: #3d85c6;">Answers:</span></h3>
1. c –2<br />
2. b –1<br />
3. b 91/5<br />
4. b 17/2<br />
5. a 16.04<br />
6. a 5Ö10<br />
7. b 519<br />
8. b 120/63<br />
9. b –22<br />
10. b 5<br />
11. b 132<br />
12. c 2<br />
13. b 0.20<br />
14. a 14449<br />
15. b 8801<br />
16. a 5<br />
17. a a3 – b3<br />
18. a (a +b)<br />
19. b 4<br />
20. a –24<br />
21. a 1<br />
22. a –10<br />
23. c –1<br />
24. b 10/3<br />
25. b 5/2<br />
<br />
<h4 style="text-align: left;">
<strong><span style="color: #3d85c6;">Reasons:</span></strong></h4>
1. 5x + 6 = (52)2 = 5x + 6 = 54<br />
x + 6 = 4 , x = 4 – 6 = –2<br />
2. 1/ square root of a – square root of b = 1/ square root of 4 – square root of 9 = 1/ <br />
2 – 3 = 1/ –1 = –1<br />
3. (x1/3 + y1/3)1/5 = (641/3 + 1251/3)1/5 = (4 + 5)1/5 = 91/5<br />
4. 252 – 92/(16)4 = (25 – 9) (25 + 9)/(16)4 = (16) (34)/16(4) = 34/4 = 17/2<br />
5. 15.32 + 16.1 – 15.38<br />
31.42 – 15.38 = 16.04<br />
6. square root of 40 × square root of 90 = 2 square root of 10 + 3 square root of10<br />
= 5 square root of10<br />
7. 515 × 54 = 1515 + 4 = 1519<br />
8. (35 +99 – 21 + 7)/63 = [(35 + 99 + 7) –21]/63<br />
= 141 – 21/63 = 120/63<br />
9 3 ÷ 4 + 2 – 6 × 4<br />
¾ + 2 – 6 × 4 = ¾ + 2 – 24 Bodmas<br />
(11/4) – 24 = 11 – 96/4 = –88/4 = –22<br />
11 15 ÷ 3 × 36 – 54 + 6<br />
= 5 × 36 – 54 + 6<br />
180 – 51 + 6 = 180 – 54 = 132<br />
12 53 – 33/(52 + 32 + 15)= (5 – 3) (52 + 32 + 15) /52 + 32 + 15) = 2<br />
13 (.31)2 –(0.11)2 / (0.31 + 0.11) = (0.31 – 0.11) (0.31 + 0.11)/(0.31 + 0.11)<br />
= 0.20<br />
14 151 × ( 100 –1) = 15100 – 151 = 1449<br />
15 (99)2 = (100 – 1)2 = 1000 + 1 – 200<br />
= 10001 – 200 = 8801<br />
19 (15 + 25)2 – (15 – 25)2 / 15 × 25 = 4<br />
Because (a + b)2 – (a – b)2/ab</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-10632670149248176202016-01-23T06:21:00.000-08:002016-01-23T06:21:07.352-08:00Quanta 12<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<span style="color: #3d85c6;">Quanta </span></h2>
Q-1 3x + 1 = 27x + 4<br />
(a) 11/5<br />
(b) 11/4<br />
(c) 11/2<br />
(d) 11/9<br />
Q-2 Which value should be subtracted from the terms of the ratio 5:6 in order to get 2:3<br />
(a) 4<br />
(b) 3<br />
(c) 9<br />
(d) 11<br />
Q-3 What is mean proportional of 3 & 27 ?<br />
(a) 11<br />
(b) 9<br />
(c) 3<br />
(d) 4<br />
Q-4 Distribute 472 between M & N in the ratio of 1:3<br />
(a) 118, 316<br />
(b) 118, 354<br />
(c) 118, 319<br />
(d) 118, 331<br />
Q-5 What is the third proportional of 3 & 5 ?<br />
(a) 15/3<br />
(b) 26/3<br />
(c) 16/9<br />
(d) 11/4<br />
Q-6 Find the L.C.M. ½, 3/8, 4/6<br />
(a) 9<br />
(b) 6<br />
(c) 7<br />
(d) 8<br />
Q-7 What will be the HCF of 9/2, 3/8, 6/12 ?<br />
(a) 1/6<br />
(b) 1/7<br />
(c) 1/8<br />
(d) 1/9<br />
Q-8 321 × 34 = ?<br />
(a) 10914<br />
(b) 10915<br />
(c) 11915<br />
(d) 12914<br />
Q-9 – 0.85/1.7 = ?<br />
(a) – 0.5<br />
(b) – 0.501<br />
(c) 5.0<br />
(d) 5.6<br />
Q-10 1 + 2 + 3 + --------- + 12 = ?<br />
(a) 68<br />
(b) 62<br />
(c) 78<br />
(d) 71<br />
Q-11 2m is<br />
(a) Even number<br />
(b) Odd No.<br />
(c) Prime No.<br />
(d) None<br />
Q-12 What should be add in 2m so that it becomes odd ?<br />
(a) 1<br />
(b) 3<br />
(c) 4<br />
(d) 5<br />
Q-13 5173× (999) =?<br />
(a) 516782<br />
(b) 5167827<br />
(c) a & b<br />
(d) None<br />
Q-14 11:x = x:12, Find x<br />
(a) 12<br />
(b) 11<br />
(c) 19<br />
(d) 20<br />
Q-15 If A:B = 5:2, B:C = 1:4<br />
Then find A:B:C<br />
(a) 5:3:8<br />
(b) 5:2:8<br />
(c) 5:4:8<br />
(d) None<br />
Q-16 When 270 liter of water fill half tank then 360 liter will be what part of tank ?<br />
(a) 3/6<br />
(b) 3/2<br />
(c) 3/11<br />
(d) None<br />
Q-17 When 2x432 is divided by 3 then, what will come in place of x ?<br />
(a) 4<br />
(b) 3<br />
(c) 14<br />
(d) None<br />
Q-18 451.64 + 354.6 + 421 + 6.5 =?<br />
(a) 1235.74 <br />
(b) 1233.74<br />
(c) 1237.74<br />
(d) None<br />
Q-19 45.98 – 36.003 =?<br />
(a) 10.977<br />
(b) 9.977<br />
(c) 11.8<br />
(d) None<br />
Q-20 0.011 × 0.0121 = x<br />
Find x<br />
(a) 0.0001343<br />
(b) 0.0001454<br />
(c) 0.001451<br />
(d) None<br />
Q-21 0.09 × 111.4 × 0.008 =?<br />
(a) 0.8209<br />
(b) 0.080208<br />
(c) 0.080209<br />
(d) None<br />
Q-22 4000 + 1531.4 + x = 60031<br />
Find x<br />
(a) 54499.6<br />
(b) 554.66<br />
(c) 54495.9<br />
(d) None<br />
Q-23 Difference between the square of two even integer is always divided by which number<br />
(a) 4<br />
(b) 5<br />
(c) 9<br />
(d) 8<br />
Q-24 ( squarroot of 2 + squarroot of 3)/( squarroot of 2 – squarroot of 3) = x<br />
Find x<br />
(a) 5 – 2 squarroot of 6<br />
(b) 5 +2 squarroot of 6<br />
(c) 5 – 3 squarroot of 2<br />
(d) None<br />
Q-25 Which is the smallest No. to be subtracted from 141 so that it is divisible by 7?<br />
(a) 2<br />
(b) 1<br />
(c) 3<br />
(d) 4<br />
<h3 style="text-align: left;">
<span style="color: #3d85c6;">Answers:</span></h3>
1. c 11/2<br />
2. b 3<br />
3. b 9<br />
4. b 118,354<br />
5. b 25/3<br />
6. b 6<br />
7. c 1/7<br />
8. a 10914<br />
9. a –0.5<br />
10. c 78<br />
11. a Even number<br />
12. a 1<br />
13. b 5167827<br />
14. b 11<br />
15. b 5:2:8<br />
16. b 3/2<br />
17. a 4<br />
18. b 1233.74<br />
19. b 9.977<br />
20. a 0.0001343<br />
21. b 0.080208<br />
22. a 54499.6<br />
23. a 4<br />
24. b 5 + 2 squarroot of 6<br />
25. b 1<br />
<br />
<h4 style="text-align: left;">
<span style="color: #3d85c6;">Reasons:</span></h4>
1. 3x + 1 = (33)x+4<br />
3x+1 = 33x+12<br />
x+1 = 3x+12<br />
3x – x = 12 – 1<br />
2x = 11x, x = 11/2<br />
2. Suppose we subtract A from the terms<br />
Then ratio<br />
(5 – A) : (6 – A)<br />
(5 – A) : (6 – A) = 2:3<br />
5 – A/6 – A = 2/3<br />
3(5 – A) = 2(6 – A)<br />
15 – 3A = 12 – 2A<br />
15 – 12 = 3A – 2A<br />
3 = A<br />
3. Mean Proportional = squarroot of (3 × 27) = squarroot of 81 = 9<br />
4. T O M = (472 × ¼) = 118<br />
T O N = (472 × ¾) = 354<br />
5. 3:5 = 5:A<br />
3/5 = 5/A, A = 25/3<br />
6. L.C.M. = L.C.M. of 1,3,4/H.C.F. of 2,8,6 = 12/2= 6<br />
7. H.C.F. = HCF of 9,3,6/LCM of 2,8,12 = 3/24 = 1/8<br />
10 1 + 2 + 3 + ------ + 12 =Σ(n + 1)/2<br />
12(12 + 1)/2 = 78<br />
14. 11/x = x/12<br />
121 = x2, x= 11<br />
15. A:B = 5:2, B:C = 2:8<br />
A:B:C = 5:2:8<br />
17 2x432 = 2 + x + 4 + 3 + 2 = 11 + x<br />
we can take 4 11 + 4 = 15<br />
divisible by 3<br />
22 x = 60031 – 4000 – 1531-4 = 54495.9<br />
23 Let two even no. = 2,4<br />
42 – 22 = 16 – 4 = 12<br />
24 (squarroot of 2 + squarroot of 3)/( squarroot of 2 – squarroot of 3)× (squarroot of squarroot of 2 + squarroot of 3 / squarroot of 2 + squarroot of 3)<br />
(squarroot of 2 + squarroot of 3)2 / 4 – 3 = 2 + 3+ 2 squarroot of 6 / 1<br />
= 5 + 2 squarroot of 6</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-75664811992234163552016-01-23T06:19:00.000-08:002016-01-23T06:19:40.852-08:00Numerical Ability 11<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<strong><span style="color: #3d85c6;"> Numerical Ability</span></strong></h2>
Q-1 25! ¤ (25-25)! =2<br />
(a) 25! (b) 30! (c) 25 (d) None<br />
Q-2 Find x if 32 ´ 64 is divisible by 3?<br />
(a) 4 (b) 3 (c) 5 (d) 9<br />
Q-3 Here two no. have HCF 15 which cannot be its LCM ?<br />
(a) 45 (b) 64 (c) 30 (d) 90<br />
Q-4 0.08 ¤ 0.06 <br />
(a) 4 ¤ 5 (b) 4 ¤ 3 (c) 4 ¤ 9 (d) None<br />
Q-5 147 ¤ 0.03<br />
(a) 4500 (b) 4900 (c) 4600 (d) None<br />
Q-6 1/0.008<br />
(a) 126 (b) 125 (c) 191 (d) None<br />
Q-7 7! / (3´2)! +4=?<br />
(a) 12 (b) 11 (c) 19 (d) 20<br />
Q-8 If x =7a +8 & y =9 + 8a<br />
Find a if x =y<br />
(a) 1 (b) -1 (c) 2 (d) 3<br />
Q-9 x/8 -x/5 =11<br />
Find x<br />
(a) -440/3 (b) -440/9 (c) 9 (d) 8<br />
Q-10 .13´.13´ 10<br />
(a) .1691 (b) .1690 (c) .1661 (d) None<br />
Q-11 If 3x + 5y =7<br />
& 3x -6y = -15<br />
find 5x + 9y<br />
(a) 12 (b) 13 (c) 19 (d) 20<br />
Q-12 Find the smallest fraction?<br />
(a) 0.1 (b) 0.2 (c) 0.3 (d) 0.5 <br />
Q-13 0.00011 ´ 0.11<br />
(a) 121 (b) 0.00121 (c) .0000121 (d) None<br />
Q-14 315 ´ 10-3 =?<br />
(a) .0315 (b) .315 (c) 311 (d) None<br />
Q-15 13.15 ´ 104 =?<br />
(a) 1315 ´ 102 (b) 1315 (c) 1318 (d) None<br />
Q-16 315/ 010 = ?<br />
(a) 10 (b) 315 (c) ¥ (d) None<br />
Q-17 HCF of 91,104,117 in<br />
(a) 12 (b) 91 (c) 13 (d) 18<br />
Q-18 HCF of 105,135,150<br />
(a) 105 (b) 15 (c) 13 (d) 18<br />
Q-19 How many even prime no are possible?<br />
(a) 1 (b) 2 (c) 3 (d) 10<br />
Q-20 35/ 21 in a<br />
(a) Natural no. (b) Rational no<br />
(c) Complex no (d) None<br />
Q-21 333 + 100 -20<br />
(a) 415 (b) 433 (c) 413 (d) None<br />
Q-22 (400 ¸5) -5<br />
(a) 850 (b) 85 (c) 1850 (d) None<br />
Q-23 (400 ´5) -3<br />
(a) 402 (b) 403 (c) 408 (d) None<br />
Q-24 1400 ´10 ¸2 -5<br />
(a) 1400 (b) 1300 (c) 1800 (d) None<br />
Q-25 1300 +15 -10 ¸2<br />
(a) 1305 (b) 1310 (c) 1308 (d) None<br />
<br />
<h3 style="text-align: left;">
<strong><span style="color: #3d85c6;">Answers with Reasons : -</span></strong></h3>
1(a) 25!<br />
2(b) 3<br />
3´2+x+6´4 = x+15<br />
18<br />
3(b) 64<br />
4(b) 4/3<br />
100/100 ´8/6<br />
8/6<br />
4/3<br />
5(b) 4900<br />
6(b) 125<br />
1000/8 =125<br />
7(b) 11<br />
7! /6! ´4<br />
7.6! /6! +4<br />
7´4 =11<br />
8(b) -1<br />
7a ´8 =9´8a<br />
-1 =a<br />
9(a) -440/3<br />
5 ´-8/40 =11<br />
-3´ =440<br />
x = -440/3<br />
10(b) .1690 <br />
.1690<br />
11(b) 13<br />
Subtract 11y =22<br />
y =2 - ´ = -1<br />
12(a) 0.1<br />
13(c) .0000121<br />
14(b) .315<br />
15(a) 1315 ´102<br />
16(c) ¥<br />
17(c) 13<br />
18(b) 15<br />
19(a) 1<br />
20(b) Rational no<br />
21(c) 413<br />
22(b) 85<br />
23(a) 402<br />
24(b) 1300<br />
25(b) 1310</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-26526756051781765002016-01-23T06:18:00.000-08:002016-01-23T06:18:06.161-08:00Quanta Test 9<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<span style="color: #3d85c6;">Quanta Test 9</span></h2>
Q-1 Under root of(0 ´5) =?<br />
(a) 1 (b) 0 (c) 3 (d) 9<br />
Q-2 under root of25 under root of100 under root of36<br />
(a) 350 (b) 360 (c) 300 (d) 310<br />
Q-3 under root of 729/81 = under root of 441/x Find x<br />
(a) 64 (b) 63 (c) 61 (d) 65<br />
Q-4 Find under root of15 – 1 / under root of15 + 1<br />
(a) (8 – under root of 15)/7 (b) (8 + under root of15)/7 (c) (8 – under root of15)/7 (d) None<br />
Q-5 Find 1/under root of6 – under root of5<br />
(a) under root of 6 + under root of 5 (b) under root of 6 + under root of 7 (c) under root of 5 + under root of 6 (d) None<br />
Q-6 Find the following which is perfect square<br />
(a) 431 (b) 411 (c) 451 (d) 441<br />
Q-7 From the following which is a perfect cube<br />
(a) 216 (b) 226 (c) 156 (d) 286<br />
Q-8 under root of x/100 = 1/10<br />
(a) 101 (b) 100 (c) 104 (d) None<br />
Q-9 under root of 19 + under root of 15/under root of 19 – under root of 15 =? <br />
(a) (17 under root of 285) /2 (b) (17 – under root of 285)/3 (c) 17 + under root of 285 (d) None<br />
Q-10 (27)3 = 3x/3 , Find x<br />
26 (b) 27 (c) 28 (d) 29<br />
Q-11 under root of 729/x = 27/5, find the value of x<br />
(a) 5 (b) 6 (c) 7 (d) 8<br />
Q-12 Which four digit No. is a perfect square<br />
(a) 2500 (b) 2600 (c) 2700 (d) 2800<br />
Q-13 From the following which four digit No. is a perfect cube.<br />
(a) 2000 (b) 1000 (c) 3000 (d) 3500<br />
Q-14 under root of 17 ´ under root of 18<br />
(a) 17.46 (b) 17.49 (c) 17.89 (d) 17.50<br />
Q-15 LCM of 22, 6 is<br />
(a) 2 (b) 4 (c) 6 (d) 12<br />
Q-16 LCM of 45, 46, 47, 48, 411is<br />
(a) 411 (b) 48 (c) 45 (d) None<br />
Q-17 15 & 20 are two No. & HCF is<br />
(a) 21 (b) 20 (c) 23 (d) 24<br />
Q-18 HCF (11-1, 11-5, 11-9, 11-12)<br />
(a) 1112 (b) 11-9 (c) 11-5 (d) 11-1<br />
Q-19 HCF of 12, 12, 12 is<br />
(a) 12 (b) 122 (c) 123 (d) None<br />
Q-20 HCF of 25, 50, 100, 125<br />
(a) 120 (b) 125 (c) 25 (d) None<br />
<h3 style="text-align: left;">
<span style="color: #3d85c6;">Answers:</span></h3>
1. b 0<br />
2. c 300<br />
3. b 63<br />
4. a (8 – under root of 15) /7<br />
5. a under root of 6 + under root of 5<br />
6. d 441<br />
7. a 216<br />
8. b 100<br />
9. a (17 + under root of 285)/2<br />
10. b 27<br />
11. a 5<br />
12. a 2500<br />
13. b 1000<br />
14. b 17.49<br />
15. d 12<br />
16. a 411<br />
17. b 20<br />
18. a 11-12<br />
19. a 12<br />
20. c 25<br />
<br />
<h4 style="text-align: left;">
<span style="color: #3d85c6;">Reasons: </span></h4>
3 27/81 = 27/x, x = 63<br />
4 under root of 15 – 1/under root of 15 + 1 = under root of 15 – 1 / under root of 15 + 1´ under root of 15 – 1/under root of 15 – 1<br />
(under root of 15 – 1)2/ (under root of 15)2 – 1 = 15 + 1 – 2 under root of 15/15 – 1<br />
16 – 2under root of 15 /14 = 2 (8 –under root of 15)/14 = 8 –under root of 15 /7<br />
5 1/under root of 6 – under root of 5 = 1/ under root of 6 – under root of 5 ´ under root of 6 + under root of5/under root of6 + under root of5 = under root of 6 + under root of 5/(under root of 6)2 – (under root of 5)2<br />
under root of 6 + under root of 5/ 6 – 5 = under root of 6 + under root of 5 /1 = under root of 6 + under root of 5<br />
8 under root of x/100 = 1/10 = under root of x = 10, x = 100<br />
9 under root of 19 + under root of 15/under root of 19 – under root of 15 ´ under root of 19 + under root of 15/under root of 19 + under root of15<br />
(under root of19 + under root of15)2 / (19) – (15) = (under root of19 + under root of 15)2/4<br />
(19 + 15 + 2under root of 19 under root of15)/4 = 34 + 2 under root of 285/ 4 = 17 + under root of 285 /2<br />
10 (33)3 = 3x/3 = 39 = 3x/3<br />
9 = x/3, x = 27<br />
14 under root of17 ´under root of 18 = under root of 306 = 17.49<br />
17 L.C.M. ´ HCF = Product of two No.<br />
L.C.M. ´ 15 = 15 ´20<br />
LCM = 300 /15 = 20<br />
18 Take the least power</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com2Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-21724010205784350662016-01-23T06:09:00.000-08:002016-01-23T06:09:01.560-08:00Quanta Test 8<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<h2 style="text-align: left;">
<strong><span style="color: #3d85c6;"> Quanta Test 8</span></strong></h2>
Q-1 37 is a-----<br />
(a) Prime Number<br />
(b) Even Number<br />
(c) Odd Number<br />
(d) None<br />
Q-2 Which of them is a least odd prime number?<br />
(a) 1<br />
(b) 3<br />
(c) 5<br />
(d) 11<br />
Q-3 In BODMAS, S stands for<br />
(a) Simplification<br />
(b) Subtraction<br />
(c) Single<br />
(d) None<br />
Q-4 3Ö3 = (243)n, Find n<br />
(a) 1/16<br />
(b) 1/14<br />
(c) 1/15<br />
(d) None<br />
Q-5 (log54) (log45)<br />
(a) 1<br />
(b) 2<br />
(c) 3<br />
(d) 4<br />
Q-6 (log1) (log2) (log3) (log4)<br />
(a) 2<br />
(b) 3<br />
(c) 0<br />
(d) 9<br />
Q-7 Which is prime?<br />
(a) 4<br />
(b) 6<br />
(c) 11<br />
(d) 14<br />
Q-8 3 & 5 are<br />
(a) Twin prime<br />
(b) Thrice prime<br />
(c) Fourth prime<br />
(d) None<br />
Q-9 (Ö10) (Ö10) =?<br />
(a) 110 <br />
(b) 100<br />
(c) 10<br />
(d) 1000<br />
Q-10 How many prime are there in<br />
23 ´ 35 ´ 74 ´ 91<br />
(a) 12<br />
(b) 13<br />
(c) 14<br />
(d) 19<br />
Q-11 Find (2 – ¾) (2 – 4/5) (2 – 5/6)<br />
(a) 8/5<br />
(b) 7/4<br />
(c) 7/9<br />
(d) None<br />
Q-12 Find the sum of 15 natural No.<br />
(a) 121<br />
(b) 120<br />
(c) 124<br />
(d) None<br />
Q-13 Find the unit digit of 319 ´ 411 ´ 335<br />
(a) 4<br />
(b) 5<br />
(c) 1<br />
(d) 9<br />
Q-14 HCF 32 ´ 42 ´ 53, 42 ´ 31 ´ 52<br />
(a) 1300<br />
(b) 1200<br />
(c) 1350<br />
(d) 1950<br />
Q-15 15 – 16 =?<br />
(a) 1<br />
(b) – 1<br />
(c) 2<br />
(d) 3<br />
Q-16 (– 1)3 + (– 1)4 + 33<br />
(a) 26<br />
(b) 27<br />
(c) 28<br />
(d) 29<br />
Q-17 9x2 + 15x + 11 is<br />
(a) Binomial <br />
(b) Trinomial<br />
(c) a & b<br />
(d) None<br />
Q-18 In binomial how many Terms are the<br />
(a) 2<br />
(b) 3<br />
(c) 4<br />
(d) 9<br />
Q-19 (– 1)51 + 4(– 1)50<br />
(a) 3<br />
(b) 5<br />
(c) 6<br />
(d) None<br />
Q-20 In x2 – 35x + 40 = 0<br />
Find the sum of roots<br />
(a) 40<br />
(b) 1<br />
(c) 35<br />
(d) None<br />
Q-21 Find the No. of roots 5x2 + 6x – 17 = 0<br />
(a) 2<br />
(b) 3<br />
(c) 5<br />
(d) None<br />
Q-22 Ö(16 +Ö81)<br />
(a) 5<br />
(b) 6<br />
(c) 7<br />
(d) 11<br />
Q-23 Ö(20 + Ö(13 +Ö144))<br />
(a) 5<br />
(b) 6<br />
(c) 7<br />
(d) 11<br />
Q-24 Find the order of 3Ö14<br />
(a) 2nd<br />
(b) 3rd order<br />
(c) 5th<br />
(d) None<br />
Q-25 Ö3 =?<br />
(a) 1.41<br />
(b) 1.732<br />
(c) 1.4125<br />
(d) None<br />
<br />
<br />
<br />
<br />
<h3 style="text-align: left;">
<span style="color: #3d85c6;">Answers:</span></h3>
1. a Prime Number<br />
2. b 3<br />
3. b Subtraction<br />
4. c 1/15<br />
5. a 1<br />
6. c 0<br />
7. c 11<br />
8. a Twin Prime<br />
9. c 10<br />
10. b 13<br />
11. b 7/4<br />
12. b 120<br />
13. b 5<br />
14. b 1200<br />
15. b – 1<br />
16. b 27<br />
17. b Trinomial<br />
18. a 2<br />
19. a 3<br />
20. c 35<br />
21. a 2<br />
22. a 5<br />
23. a 5<br />
24. b 3rd order<br />
25. b 1.732<br />
<br />
<h4 style="text-align: left;">
<span style="color: #3d85c6;">Reasons:</span></h4>
4 3Ö3 = (243)n<br />
31/3 = (35)n<br />
31/3 = 35n<br />
5n = 1/3, n = 1/15<br />
5 (log54) (log45) = (log4/log5) ´ (log5/log4) = 1<br />
6 Here log1 = 0<br />
10 Number of prime = 3 + 5 + 4 + 1 = 13<br />
11 (5/4) (6/5) (7/8) = 7/4<br />
12 1 + 2 + 3+ ………..+15 = å15 = 15(15 + 1)/2 = 15(16)/2 = 120<br />
14 HCF = 3 ´ 16 ´25 = 1200<br />
23 Ö(20 + Ö(13 + 12)) = Ö(20 + Ö25)<br />
Ö(20 + 5) = Ö25 = 5</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001tag:blogger.com,1999:blog-8425338618458627045.post-62066794212236969732016-01-23T06:06:00.000-08:002016-01-23T06:06:26.208-08:00Quanta 7<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<span style="color: #3d85c6;">Quanta</span></h2>
Q-1 35.38 × 0.64 + 8.631 = ?<br />
(a) 31.273<br />
(b) 31.2742<br />
(c) 39.56<br />
(d) None<br />
Q-2 (25/6 + 32/4)6/(25/6 + 32/4)2 = X<br />
Find X<br />
(a) (25/6 + 22/4)4<br />
(b) (25/6 + 22/4)3<br />
(c) (25/6 + 22/4)1<br />
(d) None<br />
Q-3 1 / (6/5) + 1\ (25/6) =?<br />
(a) 151/150<br />
(b) 131/140<br />
(c) 131/660<br />
(d) None<br />
Q-4 A0 =?<br />
(a) 2<br />
(b) 1<br />
(c) 3<br />
(d) 9<br />
Q-5 If Ax = A0, Find x<br />
(a) 1<br />
(b) 0<br />
(c) 3<br />
(d) 2<br />
Q-6 If Ax/Ay = 1, Find x – y<br />
(a) 0<br />
(b) 1<br />
(c) 3<br />
(d) 9<br />
Q-7 5x2 =125, find x<br />
(a) Square root of 2<br />
(b) Square root of 3<br />
(c) Square root of 4<br />
(d) Square root of 5<br />
Q-8 Square root of 0.0121 + Square root of 0.0256 + Square root of 0.0196 =?<br />
(a) 0.42<br />
(b) 0.41<br />
(c) 0.49<br />
(d) 0.50<br />
Q-9 ( Square root of 8)x ( Square root of 5)x = 40<br />
(a) 3<br />
(b) 2<br />
(c) 5<br />
(d) 9<br />
Q-10 A = 5, 6 = 16/21 find Square root of A – B<br />
(a) Square root of 90<br />
(b) Square root of 89<br />
(c) Square root of 91<br />
(d) Square root of 20<br />
Q-11 (9/5) (10/8) – (7/5) (10/8) =?<br />
(a) 2/3<br />
(b) ½<br />
(c) ¾<br />
(d) 5/9<br />
Q-12 When P:Q = ½, Q:R = ¾, R:T = 4/5<br />
Then find P/T<br />
(a) 3/11<br />
(b) 3/10<br />
(c) 3/19<br />
(d) 3/25<br />
Q-13 4( –5) (–1)2 (–1)3 =?<br />
(a) 20<br />
(b) – 20<br />
(c) – 25<br />
(d) None<br />
Q-14 3 ÷ 3 of 3/ 4 ÷ 4of 4<br />
(a) 4/3<br />
(b) 4/4<br />
(c) 5/3<br />
(d) ¾<br />
Q-15 Ax = Ay, then find relation between x & y<br />
(a) x = y<br />
(b) x = 2y<br />
(c) x = 3y<br />
(d) x = 5y<br />
Q-16 In 3/9, 5/11, 13/21, tell about denominator<br />
(a) 3,5,13<br />
(b) 3,5,21<br />
(c) 9,11,21<br />
(d) None<br />
Q-17 In 5/19, 6/21, 19/20, tell about numerator<br />
(a) 5,6,19<br />
(b) 19, 21, 20<br />
(c) 5, 15, 21<br />
(d) None<br />
Q-18 Find HCF of (15, 135, 150)<br />
(a) 16<br />
(b) 15<br />
(c) 19<br />
(d) 20<br />
Q-19 (16) × (5x) = (800)<br />
Find x<br />
(a) 0<br />
(b) 1<br />
(c) 2<br />
(d) 3<br />
Q-20 15 ÷ 25 + 15 × 3 of 3<br />
(a) 677/5<br />
(b) 678/5<br />
(c) 629/9<br />
(d) 670/11<br />
Q-21 When x = 125, y = 729<br />
Find (x-4/3 + y-2/3)1/2<br />
(a) (1/625 + 1/11)<br />
(b) (1/625 + 1/81)1/2<br />
(c) (1/625 + 1/11)1/2<br />
(d) None<br />
Q-22 What will be the mean proportional between 5 & 125 ?<br />
(a) 26<br />
(b) 25<br />
(c) 23<br />
(d) None<br />
Q-23 (–1)4 (–1)5 (–1)6 =?<br />
(a) –1<br />
(b) + 1<br />
(c) + 2<br />
(d) 2<br />
Q-24 Sin 0 =?<br />
(a) 0<br />
(b) 1<br />
(c) ½<br />
(d) Square root of 3/2<br />
Q-25 Cos 0 =?<br />
(a) 1<br />
(b) 2<br />
(c) 3<br />
(d) 5<br />
<br />
<h3 style="text-align: left;">
<span style="color: #3d85c6;">Answers:</span></h3>
1. b 31.2742<br />
2. a (25/6 + 22/4)4 <br />
3. a 151/150<br />
4. b 1<br />
5. b 0<br />
6. a 0<br />
7. b Square root of 3<br />
8. b 0.41<br />
9. b 2<br />
10. b Square root of 89<br />
11. b 1/2<br />
12. b 3/10<br />
13. a 20<br />
14. a 4/3<br />
15. a x = y<br />
16. c 9,11,21<br />
17. a 5,6,19<br />
18. b 15<br />
19. a 0<br />
20. b 678/9<br />
21. b (1/625 + 1/81)1/2 <br />
22. b 25<br />
23. a – 1<br />
24. a 0<br />
25. a 1<br />
<br />
<h4 style="text-align: left;">
<span style="color: #3d85c6;">Reasons:</span></h4>
1. 3538 + 0.64 + 8.631 = (22.6432) + 8.631 = 31.2742<br />
2. (25/6 + 22/4)6 – 4<br />
= (25/6 + 22/4)4<br />
3. 1 / (6/5) + 1\ (25/6) = 5/6 + 6/25 = 125 + 36/150 = 151/150<br />
7. 5x2 =125, x2 = 3, x = Square root of 3<br />
8. Square root of 0.0121 + Square root of 0.0256 + Square root of 0.0196 = 0.11 + 1.6 + 0.14 = 0.41<br />
9. ( Square root of 8)x ( Square root of 5)x = 8x/2 5x/2= (40)x/2 = 40<br />
x/2 = 1 , x = 2<br />
10 Square root of A – B = Square root of 5 – 16/21 = Square root of 105 – 16 = Square root of 89<br />
11 10/8(9/5 – 7/5)<br />
5/4(2/5)= ½<br />
12 P/T = P/Q × Q/R × R/T<br />
= ½ × ¾ × 4/5 = 3/10<br />
13 4( –5) (1) (–1) =20<br />
14 3 ÷ 3 of 3/ 4 ÷ 4of 4 = 3 ÷ 9/4 ÷ 16 = 4/3<br />
18. HCF of (15,135,150) = HCF of (15, !35,150)<br />
= HCF of (15, 15) = 15<br />
20 15 ÷ 25 + 15 × 3 of 3<br />
15÷ 25 + 15 × 9<br />
15/25 + 15 × 9<br />
3/5 + 15× 9 = 3/5 + 135<br />
3 + 675 /5 = 678/5<br />
21 (x-4/3 + y-2/3)1/2 = (1/x4/3 + 1/y2/3)1/2<br />
(1/(125)4/3 + 1/(729)2/3)1/2<br />
(1/54 + 1/92)1/2 = (1/625 + 1/81)1/2<br />
22 Square root of 5(125) = Square root of 6<br />
25 = 25</div>
Physics Funndahttp://www.blogger.com/profile/08990455691963472001noreply@blogger.com0Nangal, Punjab 140124, India31.3810375 76.38109220000001231.326814000000002 76.300411200000013 31.435261 76.46177320000001