Quanta – 5

Quanta – 5

Q-1 5365 + 5466 – 1522 – 1651 =?
(a) 7665
(b) 7677
(c) 7658
(d) None
Q-2 15.4 × 1.61 + 7.5681 =?
(a) 32.3651
(b) 32.3621
(c) 32.5361
(d) None
Q-3 0.2 × 0.004 × 0.006 × 0.037
(a) 0.0000003
(b) 0.0000002
(c) .003
(d) None
Q-4 (15 + 34)2 + (15 – 34)2 / (15 × 15) + (34 × 34) =?
(a) 3
(b) 4
(c) 2
(d) 6
Q-5 x/25 = 25/x
Find x
(a) 26
(b) 25
(c) 27
(d) 28
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.
(a) 120
(b) 125
(c) 130
(d) 135
Q-7 A % means
(a) A/100
(b) (A/100 × 100)
(c) A
(d) None
Q-8 Convert 5/2 on %?
(a) 250%
(b) 256%
(c) 251%
(d) None
Q-9 Convert 40% in to fraction?
(a) 2/3
(b) 2/5
(c) 3/1
(d) None
Q-10 10% of 20% of 100
(a) 3
(b) 2
(c) 4
(d) 5
Q-11 The sales tax on computer of Rs 4500 at 3% is
(a) 140
(b) 135
(c) 140
(d) 190
Q-12 Population of village increase from 500 to1000 what is the percentage increase in .
(a) 100%
(b) 150%
(c) 125%
(d) 119%
Q-13 Income of Rajat increase from 10000 to 12500 RS, what is increase %
(a) 25%
(b) 30%
(c) 28%
(d) 29%
Q-14 If Sunil income is 20000 RS of his salary increase 25% Find the new salary.
(a) 25000
(b) 28000
(c) 19000
(d) 35000
Q-15 Mohan’s monthly income is 5000, He donate 50% of his income. What will be his yearly savings?
(a) 15000
(b) 25000
(c) 30000
(d) None
Q-16 If 25% of a No. is 520. Find the Number.
(a) 2015
(b) 2080
(c) 2021
(d) 1900
Q-17 20 paise is what % of one Rupees.
(a) 10%
(b) 20%
(c) 30%
(d) 19%
Q-18 25% of one Rs is
(a) 25 Paise
(b) 20 Paise
(c) 50 Paise
(d) None
Q-19 What will be fourth proportional of 7,8,9
(a) 72/8
(b) 72/7
(c) 19/8
(d) 19
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.
(a) 33 ½
(b) 35 ½
(c) 36 ½
(d) 30 ½
Q-21 12 % of x = 50
Find x
(a) 417.1
(b) 417.5
(c) 411.8
(d) None
Q-22 Find the No. whose 5% is 50
(a) 5000
(b) 4000
(c) 19000
(d) None
Q-23 10% of 1800 =?
(a) 190
(b) 180
(c) 170
(d)None
Q-24 35% of 1400 =?
(a) 470
(b) 490
(c) 491
(d) None
Q-25 50% of 170 is
(a) 85
(b) 90
(c) 22
(d) 119

Answers:

1. c 7658
2. b 32.3621
3. b 0.0000002
4. c 2
5. b 25
6. a 120
7. a A/100
8. a 250%
9. b 2/5
10. b 2
11. b 135
12. a 100%
13. a 25%
14. a 25000
15. c 30000
16. b 2080
17. b 20
18. a 25 Paise
19. b 72/7
20. a 33 ½
21. b 477.5
22. a 5000
23. b 180
24. b 490
25. a 85

Reasons:

4. In order to solve it use
(x +y)2 + (x – y)2 / x2 +y2 = 2
5. x2 = 625, x = 25
6. On first day = 3/5 (A)
Remaining part = (1 – 3A/5) = 2A/5
On second day = 3/8(2A/5) = 3A/20
Unread = 1 – (3A/5 + 3A/20) = 1 – (12A + 3A)/20
= 1 – 15A/20 = 5A/20
= A/4
8. 5/2= (5/2 × 100)% = (25)%
9. 40% = 40/100 = 2/5
10. (10/100) × (20/100) × 100 = 2
11. 4500 × 3/100 = 135
15. Since he donate 50% of his income.
Then his saving is 50%
His monthly savings = 5000 × 50/100 = 2500
His yearly Savings = 500 × 50/100 × 12 = 30000
16 Let No. = A
25/100A = 520, A = 520 × 4 = 2080
19 7:8 = 9:x
7/8 = 9/x, x = 72/7
20 Bahadur’s income is less than Rajiv’s Income = 50/(100 + 50) × 100 = 50/150 × 100 = 33 ½
21 12/100 x = 50, x = 5000/12 = 417.5
24 35/100 × 1400 = 490
25 50/100 × 170 = 85

Quanta 4

Quanta

Q-1 (5 of 3) ÷ (10× 3 × 2)
(a) ¼
(b) 1/5
(c) 1/6
(d) 1/7
Q-2 Find the value of x in 125/square root of x = 5
(a) 650
(b) 625
(c) 125
(d) None
Q-3 What will be the triplicate ratio of 2 : 3?
(a) 25:135
(b) 8:27
(c) 9:35
(d) 4:121
Q-4 x2 – y2 =?
(a) (x +y) (x + 2y)
(b) (x – y) (x+ y)
(c) (x + 2y) (x – 3y)
(d) None
Q-5 HCF of (6, 18)
(a) 2
(b) 3
(c) 6
(d) 9
Q-6 Which of them is a natural No.?
(a) 2
(b) –1
(c) 0
(d) –5
Q-7 HCF of (12 24)
(a) 4
(b) 3
(c) 12
(d) 19
Q-8 What will be duplicate ratio of 5:9?
(a) 25:91
(b) 25:81
(c) 25:21
(d) None
Q-9 10% of 5000 =?
(a) 600
(b) 25
(c) 500
(d) None
Q-10 Square root of (64/81) x/3, find the x
(a) 5/4
(b) 8/3
(c) 8/11
(d) None
Q-11 Which is least no. of 3 digit?
(a) 199
(b) 100
(c) 101
(d) None
Q-12 6495 + 123y = 7726
What will be value of y
(a) 1
(b) 2
(c) 3
(d) 4
Q-13 500 ÷ x = 50
(a) 10
(b) 15
(c) 20
(d) 25
Q-14 Which of them is a prime number?
(a) 7
(b) 0
(c) 1
(d) None
Q-15 If gcd (5, 6) = 1, then 5 & 6 are
(a) Coprime
(b) Prime
(c) Natural No.
(d) None
Q-17 Which one of them is larger?
(a) ½
(b) 1/3
(c) ¼
(d) 1/5
Q-18 200/15 = x/60, find x
(a) 800
(b) 900
(c) 1000
(d) None
Q-19 400 + 15 ÷ 5
(a) 400/5
(b) 400/3
(c) a & b
(d) None
Q-20 Which is a Prime Number immediate after 35?
(a) 38
(b) 37
(c) 31
(d) None
Q-21 Which is not a Prime Number?
(a) 100
(b) 101
(c) 103
(d) 107
Q-22 L.C.M. of 4, 5, 7, 15
(a) 210
(b) 211
(c) 225
(d) None
Q-23 (a + b)2 = a2 + b2 +2a?
(a) b
(b) a
(c) x
(d) None
Q-24 HCF of square root of 35 & square root of 28
(a) square root of 5
(b) square root of 7
(c) square root of 11
(d) square root of 25
Q-25 What is sub-Triplicate ratio of 64:81
(a) 5:4
(b) 8:9
(c) 11:4
(d) 9:11

Answers With Reason

1. a 1/4
2. b 625
3. b 8:27
4. b (x –y) (x + y)
5. c 6
6. a 2
7. c 12
8. b 25:81
9. c 500
10. b 8/3
11. b 100
12. a 1
13. a 10
14. a 7
15. a Coprime
16. a 1
17. a 1/2
18. a 800
19. b 400/3
20. b 37
21. a 100
22. a 210
23. a b
24. b Ö7
25. b 8:9
Reasons:
1 15/60 = ¼
2 125/square root of x = 5, 25 = square root of x
Squaring
625 = x
10 8/9 = x/3
8/3 = x
12 6 4 9 5
1 2 3 y y = 1
_______________
7 7 2 6
________________
19 400 + (15/5) = 400/3

Quanta 3

Mock Test Quantitative Ability 3

Only one of the four alternatives given under each question is correct. Choose the correct alternatives

Q-1 The L.C.M. of 3/9, 4/12, 8/24 is----.
(a) 1/3
(b) 2/3
(c) 8
(d) 1

Q-2 Which is the smallest out of the following?
(a) (4)2 + (6)2
(b) (7)2 + (3)2
(c) (5)2 + (8)2
(d) (3)2 + (8)2

Q-3 How will you remove ‘?’ out of the following 25/3% of ? = 150
(a) 1000
(b) 900
(c) 500
(d) 1800

Q-4 Remove the question mark out of the following:
? % of 30 + 40% of 40 = 50% of 50
(a) 60
(b) 40
(c) 30
(d) 80

Q-5 Remove the question mark out of the following:
Ö225/Ö9 = 625/ ?
(a) 125
(b) 100
(c) 115
(d) 120

Q-6 [(3.5)2 - (1.5)2 ] / (3.5 - 1.5)
(a) 5
(b) 2
(c) 10
(d) 5.25
Q-7 1.6 ´ 0.25 ´ 0.4=
(a) 1.6
(b) 0.16
(c) 1600
(d) 16

Q-8 Three person A,B and C distribute among themselves RS. 2600 in the ratio 11:18:23. The
share of B will be
(a) Rs. 500
(b) Rs. 800
(c) Rs. 600
(d) Rs. 900

Q-9 How many numbers between 15 and 90 are perfect squares?
(a) 7
(b) 9
(c) 8
(d) 6

Q-10 A fruit- seller sells 5 apples at the cost price of 6 apples. Find his profit percent
(a) 25 Percent
(b) 15 Percent
(c) 20 Percent
(d) 16 Percent

Answer With Reasons:-

1. (a) 1/3
L.C.M. of 3/9, 4/12, 8/24 = L.C.M. of 1/3, 1/3, 1/3
= L.C.M. of numerators / H.C.F. of denomenators
= L.C.M. of 1, 1, 1/ H.C.F. of 3, 3, 3 = 1/3

2. (a) (4)2 + (6)2
A = 72 + 32 = 49 +9 = 58
B = 52 + 82 = 25 + 64 = 89
C = 42 + 62 = 16 + 36 = 52
D = 32 + 82 = 9 + 64 = 73
Clearly (c) is the smallest
3. (d) 1800
25/3% of? = 150 = 25/ (3 ´ 100) of? = 150
? = (150 ´ 3 ´ 100) / 25 = 1800
4. (c) 30
? % of 30 + 40% of 40 = 50% of 50
?/100 ´ 30 + 40/100 ´ 40 = 50/100 ´ 50
3/10 ´ ? + 16 = 25
3/10 ´ ? = 25 - 16 = 9
? = (9 ´ 10) /3= 30
5. (a) 125
Ö225/Ö9 = 625/?
15/3 = 625/? = 15 ´ ? = 625 ´ 3
? = (625 ´ 3) / 15 = 125
6. (a) 5
[(3.5)2 - (1.5)2] / (3.5 - 1.5) = [(3.5 + 1.5) (3.5 - 1.5)] / (3.5 -1.5) = (3.5 +
1.5) = 5
7. (b) 0.16
1.6 ´ 0.25 ´ 0.4 = 1.6 ´ .100 = 1.6 ´ .1 = 0.16
8. (d) Rs. 900
Ratio = 11: 18: 23
Proportional sum = 11 + 18 + 23 = 52
B’s share = 18/52 ´ 2600 = Rs. 900
9. (d) 6
Numbers between 15 and 90, which are perfect squares, are 16, 25, 36, 49, 64, 81
These are six numbers
10. (c) 20 Percent
Let cost price of 6 apples be Re. 1
S.P. of 5 apples = Re. 1
S.P. of 1 apples = Re. 1/5
S.P. of 6 apples = 1/5 ´ 6 = Rs. 6/5
Profit = 6/5 - 1 = 1/5
Profit% = (1/5) / 1 ´ 100 = 20%

Quantitative Aptitude Test

Quantitative Aptitude

Q-1 In 5/6: : 9/8, 5/6 is
(a) IInd ratio (b) Ist ratio (c) Third ratio (d) None

Q-2 In 5/6 : : 9/5, 9/5 is
(a) Ist ratio (b) Third ratio (c) IInd ratio (d) None

Q-3 In 4/5 : : 9/7, : : is the symbol for
(a) Ratio (b) Proportional (c) a & b (d) None

Q-4 60 ´70 ´ 130
(a) 42 (b) 91 (c) 1 (d) None

Q-5 315/(150)
(a) 315 (b) 316 (c) 0 (d) ¥

Q-6 73 + 37
(a) 1110 (b) 110 (c) 100 (d) None

Q-7 Find (112 – 102) / (11 + 10)
(a) 1 (b) 2 (c) 3 (d) 4

Q-8 Find 35 + 4(1/5) ¸ 4/5
(a) 161/5 (b) 161/4 (c) 161/8 (d) 161/9

Q-9 In (x + 6)14, How many terms are there
(a) 15 (b) 16 (c) 17 (d) 18

Q-10 In (x + y)21, how many middle terms are there
(a) 2 (b) 1 (c) 3 (d) 4

Q-11 underroot 0.0196
(a) 0.15 (b) 0.16 (c) 0.14 (d) 0.19

Q-12 underroot 0.0225
(a) 0.14 (b) 0.15 (c) 0.16 (d) 0.18

Q-13 Find 3 underroot 0.000081
(a) 0.009 (b) 0.09 (c) 0.0009 (d) 0.9

Q-14 (515 ´ 252) / (125)2
(a) 511 (b) 512 (c) 513 (d) 514

Q-15 3 underroot 1 Find n
(a) 1/3 (b) 1/ 2 (c) 1/ 4 (d) 1 / 5

Q-16 252 =?
(a) 625 (b) 636 (c) 666 (d)639

Q-17 (26)2 =?
(a) 625 (b) 635 (c) 665 (d) 676

Q-18 (192 – 182) + (18)2
(a) 365 (b) 361 (c) 396 (d) 371

Q-19 underroot 50 ´ underroot 3 ´ underroot 6
(a) 35 (b) 34 (c) 30 (d) 40

Q-20 LCM 5, 10, 15, 20
(a) 65 (b) 60 (c) 70 (d) 90

Q-21 HCF 22 ´ 42 ´ 52, 23 ´ 4 ´ 53, 2 ´ 31 ´ 45
(a) 8 (b) 10 (c) 6 (d) 4

Q-22 Which is smaller No. of four digit?
(a) 1000 (b) 9999 (c) 1550 (d) 2000

Q-23 Mean Proportion of 4 and 5
(a) 9 (b) underroot20 (c) underroot 21 (d) underroot 22

Q-24 What will be duplicate ratio of 7:8
(a) 49:64 (b) 7:64 (c) 49:8 (d) None

Q-25 Find triplicate ratio of 1:5
(a) 1:125 (b) 1:25 (c) 1:64 (d) 1:29

Answers:

1. b Ist ratio
2. c IInd ratio
3. b Proportional
4. c 1
5. a 315
6. b 110
7. a 1
8. b 161/4
9. a 15
10. a 2
11. c 0.14
12. b 0.15
13. b 0.09
14. c 513
15. b 1/2
16. a 625
17. d 676
18. b 361
19. c 30
20. b 60
21. a 8
22. a 1000
23. b underroot 20
24. a 49:64
25. a 1:125

Reasons:

4 60 ´70 ´ 130 = 1 ´ 1 ´ 1 = 1
6 73 + 37 = (7 +3) ´ 11 = 110
7 (112 – 102) / (11 + 10) = (11 – 10) (11 + 10)/(11 + 10) = 1
8 35 + 21/5/4/5 = 35 + 21/4 = 140 + 21/4 = 161/4
10 Since 21 + 1 = 22 is even
\ it have two middle term
14 (515 ´ 252) / (125)2 = 515´ (52)2/(53)2= 515 ´ 54 / 56
515 + 4 / 56 = 519/56 = 519 – 6 = 513
15 3 underroot 3 = 3n + 1 = (33)1/2 = 3n + 1
33/2 = 3n + 1
n + 1 = 3/2
n = 3/2 – 1 = ½
16 Since 625 is the only No. which unit digit = 5
18 192 – 182 + 182 = 192 = 361
19 underroot 50 ´ underroot 3 ´ underroot 6 = underroot (5 ´ 3 ´ 6) = underroot 900 = 30
21 HCF in 21 ´ 41 = 8
23 Mean proportion of 4 & 5 is underroot (4 ´ 5) = underroot 20
25 Triplicate ratio of 1 :5 is 13 : 53 = 1:125

Quanta 13

Quanta

Q-1 5x + 6 = 252, then the value of x in
(a) 3
(b) 4
(c) –2
(d) 14
Q-2 a = 4, b = 9, what will be the value of
1/square root of a – square root of b
(a) 3
(b) – 1
(c) – 3
(d) 5
Q-3 x = 64, y = 125, then find the value of (x1/3 + y1/3)1/5
(a) 101/5
(b) 91/5
(c) 81/5
(d) None
Q-4 252 – 92 / (16) 4 =?
(a) 17/4
(b) 17/2
(c) 19/2
(d) None
Q-5 15.32 + 16.1 – 15.38
(a) 16/04
(b) 16.15
(c) 16.11
(d) 16.19
Q-6 square root of 40 × square root of 90 =?
(a) 5 square root of 10
(b) 6 square root of 10
(c) 11 square root of 10
(d) None
Q-7 515 × 54 =?
(a) 560
(b) 519
(c) 521
(d) 523
Q-8 5/9 + 11/7 – 1/3 + 1/9 =?
(a) 121/60
(b) 120/63
(c) 131/65
(d) 19/65
Q-9 3 ÷ 4 + 2 – 6 × 4
(a) – 31
(b) – 22
(c) – 33
(d) 64
Q-10 Which is at unit place of 255 × 135 × 111?
(a) 6
(b) 5
(c) 7
(d) 1
Q-11 15 ÷ 3 × 36 – 54 + 6
(a) 133
(b) 132
(c) 158
(d) None
Q-12 53 – 33/(52 + 32 + 15) =?
(a) 4
(b) 3
(c) 2
(d) 4
Q-13 (.31 × .31 – 0.11 × 0.11) / (0.31 + 0.11) = x, find the value of x
(a) 0.50
(b) 0.20
(c) 0.31
(d) None
Q-14 151 × 99
(a) 14449
(b) 14551
(c) 14751
(d) None
Q-15 99 × 99
(a) 9901
(b) 8801
(c) 1905
(d) None
Q-16 11 × 31 × 55, what will be at unit place?
(a) 5
(b) 6
(c) 7
(d) 8
Q-17 (a – b) (a2+ b2 +ab) =?
(a) a3 – b3
(b) a2 + b2
(c) a + c
(d) a + b
Q-18 a2 – b2 = (a – b)?
(a) (a + b)
(b) a – b
(c) a2 + b2
(d) None
Q-19 (15 + 25)2 – (15 – 25) 2 / 15 × 25 =?
(a) 5
(b) 4
(c) 8
(d) 9
Q-20 4 (– 3) ) – 1) ( – 2) =?
(a) – 24
(b) 24
(c) 15
(d) 18
Q-21 (–1)54 =?
(a) 1
(b) 2
(c) – 1
(d) 0
Q-22 (–1) + (–3) + (–6) =?
(a) – 10
(b) 10
(c) 11
(d) 9
Q-23 (–1)9 =?
(a) 2
(b) 1
(c) – 1
(d) 34
Q-24 1 + 1/(1/2) + 1/3 =?
(a) 10/5
(b) 10/3
(c) 9/5
(d) 11/3
Q-25 1 + 1/(1 + ½) = ?
(a) 5/4
(b) 5/2
(c) 5/9
(d) 15/4

Answers:

1. c –2
2. b –1
3. b 91/5
4. b 17/2
5. a 16.04
6. a 5Ö10
7. b 519
8. b 120/63
9. b –22
10. b 5
11. b 132
12. c 2
13. b 0.20
14. a 14449
15. b 8801
16. a 5
17. a a3 – b3
18. a (a +b)
19. b 4
20. a –24
21. a 1
22. a –10
23. c –1
24. b 10/3
25. b 5/2

Reasons:

1. 5x + 6 = (52)2 = 5x + 6 = 54
x + 6 = 4 , x = 4 – 6 = –2
2. 1/ square root of a – square root of b = 1/ square root of 4 – square root of 9 = 1/
2 – 3 = 1/ –1 = –1
3. (x1/3 + y1/3)1/5 = (641/3 + 1251/3)1/5 = (4 + 5)1/5 = 91/5
4. 252 – 92/(16)4 = (25 – 9) (25 + 9)/(16)4 = (16) (34)/16(4) = 34/4 = 17/2
5. 15.32 + 16.1 – 15.38
31.42 – 15.38 = 16.04
6. square root of 40 × square root of 90 = 2 square root of 10 + 3 square root of10
= 5 square root of10
7. 515 × 54 = 1515 + 4 = 1519
8. (35 +99 – 21 + 7)/63 = [(35 + 99 + 7) –21]/63
= 141 – 21/63 = 120/63
9 3 ÷ 4 + 2 – 6 × 4
¾ + 2 – 6 × 4 = ¾ + 2 – 24 Bodmas
(11/4) – 24 = 11 – 96/4 = –88/4 = –22
11 15 ÷ 3 × 36 – 54 + 6
= 5 × 36 – 54 + 6
180 – 51 + 6 = 180 – 54 = 132
12 53 – 33/(52 + 32 + 15)= (5 – 3) (52 + 32 + 15) /52 + 32 + 15) = 2
13 (.31)2 –(0.11)2 / (0.31 + 0.11) = (0.31 – 0.11) (0.31 + 0.11)/(0.31 + 0.11)
= 0.20
14 151 × ( 100 –1) = 15100 – 151 = 1449
15 (99)2 = (100 – 1)2 = 1000 + 1 – 200
= 10001 – 200 = 8801
19 (15 + 25)2 – (15 – 25)2 / 15 × 25 = 4
Because (a + b)2 – (a – b)2/ab

Quanta 12

Quanta

Q-1 3x + 1 = 27x + 4
(a) 11/5
(b) 11/4
(c) 11/2
(d) 11/9
Q-2 Which value should be subtracted from the terms of the ratio 5:6 in order to get 2:3
(a) 4
(b) 3
(c) 9
(d) 11
Q-3 What is mean proportional of 3 & 27 ?
(a) 11
(b) 9
(c) 3
(d) 4
Q-4 Distribute 472 between M & N in the ratio of 1:3
(a) 118, 316
(b) 118, 354
(c) 118, 319
(d) 118, 331
Q-5 What is the third proportional of 3 & 5 ?
(a) 15/3
(b) 26/3
(c) 16/9
(d) 11/4
Q-6 Find the L.C.M. ½, 3/8, 4/6
(a) 9
(b) 6
(c) 7
(d) 8
Q-7 What will be the HCF of 9/2, 3/8, 6/12 ?
(a) 1/6
(b) 1/7
(c) 1/8
(d) 1/9
Q-8 321 × 34 = ?
(a) 10914
(b) 10915
(c) 11915
(d) 12914
Q-9 – 0.85/1.7 = ?
(a) – 0.5
(b) – 0.501
(c) 5.0
(d) 5.6
Q-10 1 + 2 + 3 + --------- + 12 = ?
(a) 68
(b) 62
(c) 78
(d) 71
Q-11 2m is
(a) Even number
(b) Odd No.
(c) Prime No.
(d) None
Q-12 What should be add in 2m so that it becomes odd ?
(a) 1
(b) 3
(c) 4
(d) 5
Q-13 5173× (999) =?
(a) 516782
(b) 5167827
(c) a & b
(d) None
Q-14 11:x = x:12, Find x
(a) 12
(b) 11
(c) 19
(d) 20
Q-15 If A:B = 5:2, B:C = 1:4
Then find A:B:C
(a) 5:3:8
(b) 5:2:8
(c) 5:4:8
(d) None
Q-16 When 270 liter of water fill half tank then 360 liter will be what part of tank ?
(a) 3/6
(b) 3/2
(c) 3/11
(d) None
Q-17 When 2x432 is divided by 3 then, what will come in place of x ?
(a) 4
(b) 3
(c) 14
(d) None
Q-18 451.64 + 354.6 + 421 + 6.5 =?
(a) 1235.74
(b) 1233.74
(c) 1237.74
(d) None
Q-19 45.98 – 36.003 =?
(a) 10.977
(b) 9.977
(c) 11.8
(d) None
Q-20 0.011 × 0.0121 = x
Find x
(a) 0.0001343
(b) 0.0001454
(c) 0.001451
(d) None
Q-21 0.09 × 111.4 × 0.008 =?
(a) 0.8209
(b) 0.080208
(c) 0.080209
(d) None
Q-22 4000 + 1531.4 + x = 60031
Find x
(a) 54499.6
(b) 554.66
(c) 54495.9
(d) None
Q-23 Difference between the square of two even integer is always divided by which number
(a) 4
(b) 5
(c) 9
(d) 8
Q-24 ( squarroot of 2 + squarroot of 3)/( squarroot of 2 – squarroot of 3) = x
Find x
(a) 5 – 2 squarroot of 6
(b) 5 +2 squarroot of 6
(c) 5 – 3 squarroot of 2
(d) None
Q-25 Which is the smallest No. to be subtracted from 141 so that it is divisible by 7?
(a) 2
(b) 1
(c) 3
(d) 4

Answers:

1. c 11/2
2. b 3
3. b 9
4. b 118,354
5. b 25/3
6. b 6
7. c 1/7
8. a 10914
9. a –0.5
10. c 78
11. a Even number
12. a 1
13. b 5167827
14. b 11
15. b 5:2:8
16. b 3/2
17. a 4
18. b 1233.74
19. b 9.977
20. a 0.0001343
21. b 0.080208
22. a 54499.6
23. a 4
24. b 5 + 2 squarroot of 6
25. b 1

Reasons:

1. 3x + 1 = (33)x+4
3x+1 = 33x+12
x+1 = 3x+12
3x – x = 12 – 1
2x = 11x, x = 11/2
2. Suppose we subtract A from the terms
Then ratio
(5 – A) : (6 – A)
(5 – A) : (6 – A) = 2:3
5 – A/6 – A = 2/3
3(5 – A) = 2(6 – A)
15 – 3A = 12 – 2A
15 – 12 = 3A – 2A
3 = A
3. Mean Proportional = squarroot of (3 × 27) = squarroot of 81 = 9
4. T O M = (472 × ¼) = 118
T O N = (472 × ¾) = 354
5. 3:5 = 5:A
3/5 = 5/A, A = 25/3
6. L.C.M. = L.C.M. of 1,3,4/H.C.F. of 2,8,6 = 12/2= 6
7. H.C.F. = HCF of 9,3,6/LCM of 2,8,12 = 3/24 = 1/8
10 1 + 2 + 3 + ------ + 12 =Σ(n + 1)/2
12(12 + 1)/2 = 78
14. 11/x = x/12
121 = x2, x= 11
15. A:B = 5:2, B:C = 2:8
A:B:C = 5:2:8
17 2x432 = 2 + x + 4 + 3 + 2 = 11 + x
we can take 4 11 + 4 = 15
divisible by 3
22 x = 60031 – 4000 – 1531-4 = 54495.9
23 Let two even no. = 2,4
42 – 22 = 16 – 4 = 12
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)
(squarroot of 2 + squarroot of 3)2 / 4 – 3 = 2 + 3+ 2 squarroot of 6 / 1
= 5 + 2 squarroot of 6

Numerical Ability 11

Numerical Ability

Q-1 25! ¤ (25-25)! =2
(a) 25! (b) 30! (c) 25 (d) None
Q-2 Find x if 32 ´ 64 is divisible by 3?
(a) 4 (b) 3 (c) 5 (d) 9
Q-3 Here two no. have HCF 15 which cannot be its LCM ?
(a) 45 (b) 64 (c) 30 (d) 90
Q-4 0.08 ¤ 0.06
(a) 4 ¤ 5 (b) 4 ¤ 3 (c) 4 ¤ 9 (d) None
Q-5 147 ¤ 0.03
(a) 4500 (b) 4900 (c) 4600 (d) None
Q-6 1/0.008
(a) 126 (b) 125 (c) 191 (d) None
Q-7 7! / (3´2)! +4=?
(a) 12 (b) 11 (c) 19 (d) 20
Q-8 If x =7a +8 & y =9 + 8a
Find a if x =y
(a) 1 (b) -1 (c) 2 (d) 3
Q-9 x/8 -x/5 =11
Find x
(a) -440/3 (b) -440/9 (c) 9 (d) 8
Q-10 .13´.13´ 10
(a) .1691 (b) .1690 (c) .1661 (d) None
Q-11 If 3x + 5y =7
& 3x -6y = -15
find 5x + 9y
(a) 12 (b) 13 (c) 19 (d) 20
Q-12 Find the smallest fraction?
(a) 0.1 (b) 0.2 (c) 0.3 (d) 0.5
Q-13 0.00011 ´ 0.11
(a) 121 (b) 0.00121 (c) .0000121 (d) None
Q-14 315 ´ 10-3 =?
(a) .0315 (b) .315 (c) 311 (d) None
Q-15 13.15 ´ 104 =?
(a) 1315 ´ 102 (b) 1315 (c) 1318 (d) None
Q-16 315/ 010 = ?
(a) 10 (b) 315 (c) ¥ (d) None
Q-17 HCF of 91,104,117 in
(a) 12 (b) 91 (c) 13 (d) 18
Q-18 HCF of 105,135,150
(a) 105 (b) 15 (c) 13 (d) 18
Q-19 How many even prime no are possible?
(a) 1 (b) 2 (c) 3 (d) 10
Q-20 35/ 21 in a
(a) Natural no. (b) Rational no
(c) Complex no (d) None
Q-21 333 + 100 -20
(a) 415 (b) 433 (c) 413 (d) None
Q-22 (400 ¸5) -5
(a) 850 (b) 85 (c) 1850 (d) None
Q-23 (400 ´5) -3
(a) 402 (b) 403 (c) 408 (d) None
Q-24 1400 ´10 ¸2 -5
(a) 1400 (b) 1300 (c) 1800 (d) None
Q-25 1300 +15 -10 ¸2
(a) 1305 (b) 1310 (c) 1308 (d) None

Answers with Reasons : -

1(a) 25!
2(b) 3
3´2+x+6´4 = x+15
18
3(b) 64
4(b) 4/3
100/100 ´8/6
8/6
4/3
5(b) 4900
6(b) 125
1000/8 =125
7(b) 11
7! /6! ´4
7.6! /6! +4
7´4 =11
8(b) -1
7a ´8 =9´8a
-1 =a
9(a) -440/3
5 ´-8/40 =11
-3´ =440
x = -440/3
10(b) .1690
.1690
11(b) 13
Subtract 11y =22
y =2 - ´ = -1
12(a) 0.1
13(c) .0000121
14(b) .315
15(a) 1315 ´102
16(c) ¥
17(c) 13
18(b) 15
19(a) 1
20(b) Rational no
21(c) 413
22(b) 85
23(a) 402
24(b) 1300
25(b) 1310

Quanta Test 8

Quanta Test 8

Q-1 37 is a-----
(a) Prime Number
(b) Even Number
(c) Odd Number
(d) None
Q-2 Which of them is a least odd prime number?
(a) 1
(b) 3
(c) 5
(d) 11
Q-3 In BODMAS, S stands for
(a) Simplification
(b) Subtraction
(c) Single
(d) None
Q-4 3Ö3 = (243)n, Find n
(a) 1/16
(b) 1/14
(c) 1/15
(d) None
Q-5 (log54) (log45)
(a) 1
(b) 2
(c) 3
(d) 4
Q-6 (log1) (log2) (log3) (log4)
(a) 2
(b) 3
(c) 0
(d) 9
Q-7 Which is prime?
(a) 4
(b) 6
(c) 11
(d) 14
Q-8 3 & 5 are
(a) Twin prime
(b) Thrice prime
(c) Fourth prime
(d) None
Q-9 (Ö10) (Ö10) =?
(a) 110
(b) 100
(c) 10
(d) 1000
Q-10 How many prime are there in
23 ´ 35 ´ 74 ´ 91
(a) 12
(b) 13
(c) 14
(d) 19
Q-11 Find (2 – ¾) (2 – 4/5) (2 – 5/6)
(a) 8/5
(b) 7/4
(c) 7/9
(d) None
Q-12 Find the sum of 15 natural No.
(a) 121
(b) 120
(c) 124
(d) None
Q-13 Find the unit digit of 319 ´ 411 ´ 335
(a) 4
(b) 5
(c) 1
(d) 9
Q-14 HCF 32 ´ 42 ´ 53, 42 ´ 31 ´ 52
(a) 1300
(b) 1200
(c) 1350
(d) 1950
Q-15 15 – 16 =?
(a) 1
(b) – 1
(c) 2
(d) 3
Q-16 (– 1)3 + (– 1)4 + 33
(a) 26
(b) 27
(c) 28
(d) 29
Q-17 9x2 + 15x + 11 is
(a) Binomial
(b) Trinomial
(c) a & b
(d) None
Q-18 In binomial how many Terms are the
(a) 2
(b) 3
(c) 4
(d) 9
Q-19 (– 1)51 + 4(– 1)50
(a) 3
(b) 5
(c) 6
(d) None
Q-20 In x2 – 35x + 40 = 0
Find the sum of roots
(a) 40
(b) 1
(c) 35
(d) None
Q-21 Find the No. of roots 5x2 + 6x – 17 = 0
(a) 2
(b) 3
(c) 5
(d) None
Q-22 Ö(16 +Ö81)
(a) 5
(b) 6
(c) 7
(d) 11
Q-23 Ö(20 + Ö(13 +Ö144))
(a) 5
(b) 6
(c) 7
(d) 11
Q-24 Find the order of 3Ö14
(a) 2nd
(b) 3rd order
(c) 5th
(d) None
Q-25 Ö3 =?
(a) 1.41
(b) 1.732
(c) 1.4125
(d) None

Answers:

1. a Prime Number
2. b 3
3. b Subtraction
4. c 1/15
5. a 1
6. c 0
7. c 11
8. a Twin Prime
9. c 10
10. b 13
11. b 7/4
12. b 120
13. b 5
14. b 1200
15. b – 1
16. b 27
17. b Trinomial
18. a 2
19. a 3
20. c 35
21. a 2
22. a 5
23. a 5
24. b 3rd order
25. b 1.732

Reasons:

4 3Ö3 = (243)n
31/3 = (35)n
31/3 = 35n
5n = 1/3, n = 1/15
5 (log54) (log45) = (log4/log5) ´ (log5/log4) = 1
6 Here log1 = 0
10 Number of prime = 3 + 5 + 4 + 1 = 13
11 (5/4) (6/5) (7/8) = 7/4
12 1 + 2 + 3+ ………..+15 = å15 = 15(15 + 1)/2 = 15(16)/2 = 120
14 HCF = 3 ´ 16 ´25 = 1200
23 Ö(20 + Ö(13 + 12)) = Ö(20 + Ö25)
Ö(20 + 5) = Ö25 = 5

Quanta 7

Quanta

Q-1 35.38 × 0.64 + 8.631 = ?
(a) 31.273
(b) 31.2742
(c) 39.56
(d) None
Q-2 (25/6 + 32/4)6/(25/6 + 32/4)2 = X
Find X
(a) (25/6 + 22/4)4
(b) (25/6 + 22/4)3
(c) (25/6 + 22/4)1
(d) None
Q-3 1 / (6/5) + 1\ (25/6) =?
(a) 151/150
(b) 131/140
(c) 131/660
(d) None
Q-4 A0 =?
(a) 2
(b) 1
(c) 3
(d) 9
Q-5 If Ax = A0, Find x
(a) 1
(b) 0
(c) 3
(d) 2
Q-6 If Ax/Ay = 1, Find x – y
(a) 0
(b) 1
(c) 3
(d) 9
Q-7 5x2 =125, find x
(a) Square root of 2
(b) Square root of 3
(c) Square root of 4
(d) Square root of 5
Q-8 Square root of 0.0121 + Square root of 0.0256 + Square root of 0.0196 =?
(a) 0.42
(b) 0.41
(c) 0.49
(d) 0.50
Q-9 ( Square root of 8)x ( Square root of 5)x = 40
(a) 3
(b) 2
(c) 5
(d) 9
Q-10 A = 5, 6 = 16/21 find Square root of A – B
(a) Square root of 90
(b) Square root of 89
(c) Square root of 91
(d) Square root of 20
Q-11 (9/5) (10/8) – (7/5) (10/8) =?
(a) 2/3
(b) ½
(c) ¾
(d) 5/9
Q-12 When P:Q = ½, Q:R = ¾, R:T = 4/5
Then find P/T
(a) 3/11
(b) 3/10
(c) 3/19
(d) 3/25
Q-13 4( –5) (–1)2 (–1)3 =?
(a) 20
(b) – 20
(c) – 25
(d) None
Q-14 3 ÷ 3 of 3/ 4 ÷ 4of 4
(a) 4/3
(b) 4/4
(c) 5/3
(d) ¾
Q-15 Ax = Ay, then find relation between x & y
(a) x = y
(b) x = 2y
(c) x = 3y
(d) x = 5y
Q-16 In 3/9, 5/11, 13/21, tell about denominator
(a) 3,5,13
(b) 3,5,21
(c) 9,11,21
(d) None
Q-17 In 5/19, 6/21, 19/20, tell about numerator
(a) 5,6,19
(b) 19, 21, 20
(c) 5, 15, 21
(d) None
Q-18 Find HCF of (15, 135, 150)
(a) 16
(b) 15
(c) 19
(d) 20
Q-19 (16) × (5x) = (800)
Find x
(a) 0
(b) 1
(c) 2
(d) 3
Q-20 15 ÷ 25 + 15 × 3 of 3
(a) 677/5
(b) 678/5
(c) 629/9
(d) 670/11
Q-21 When x = 125, y = 729
Find (x-4/3 + y-2/3)1/2
(a) (1/625 + 1/11)
(b) (1/625 + 1/81)1/2
(c) (1/625 + 1/11)1/2
(d) None
Q-22 What will be the mean proportional between 5 & 125 ?
(a) 26
(b) 25
(c) 23
(d) None
Q-23 (–1)4 (–1)5 (–1)6 =?
(a) –1
(b) + 1
(c) + 2
(d) 2
Q-24 Sin 0 =?
(a) 0
(b) 1
(c) ½
(d) Square root of 3/2
Q-25 Cos 0 =?
(a) 1
(b) 2
(c) 3
(d) 5

Answers:

1. b 31.2742
2. a (25/6 + 22/4)4
3. a 151/150
4. b 1
5. b 0
6. a 0
7. b Square root of 3
8. b 0.41
9. b 2
10. b Square root of 89
11. b 1/2
12. b 3/10
13. a 20
14. a 4/3
15. a x = y
16. c 9,11,21
17. a 5,6,19
18. b 15
19. a 0
20. b 678/9
21. b (1/625 + 1/81)1/2
22. b 25
23. a – 1
24. a 0
25. a 1

Reasons:

1. 3538 + 0.64 + 8.631 = (22.6432) + 8.631 = 31.2742
2. (25/6 + 22/4)6 – 4
= (25/6 + 22/4)4
3. 1 / (6/5) + 1\ (25/6) = 5/6 + 6/25 = 125 + 36/150 = 151/150
7. 5x2 =125, x2 = 3, x = Square root of 3
8. Square root of 0.0121 + Square root of 0.0256 + Square root of 0.0196 = 0.11 + 1.6 + 0.14 = 0.41
9. ( Square root of 8)x ( Square root of 5)x = 8x/2 5x/2= (40)x/2 = 40
x/2 = 1 , x = 2
10 Square root of A – B = Square root of 5 – 16/21 = Square root of 105 – 16 = Square root of 89
11 10/8(9/5 – 7/5)
5/4(2/5)= ½
12 P/T = P/Q × Q/R × R/T
= ½ × ¾ × 4/5 = 3/10
13 4( –5) (1) (–1) =20
14 3 ÷ 3 of 3/ 4 ÷ 4of 4 = 3 ÷ 9/4 ÷ 16 = 4/3
18. HCF of (15,135,150) = HCF of (15, !35,150)
= HCF of (15, 15) = 15
20 15 ÷ 25 + 15 × 3 of 3
15÷ 25 + 15 × 9
15/25 + 15 × 9
3/5 + 15× 9 = 3/5 + 135
3 + 675 /5 = 678/5
21 (x-4/3 + y-2/3)1/2 = (1/x4/3 + 1/y2/3)1/2
(1/(125)4/3 + 1/(729)2/3)1/2
(1/54 + 1/92)1/2 = (1/625 + 1/81)1/2
22 Square root of 5(125) = Square root of 6
25 = 25