Quanta – 6

Quanta – 6

Q-1 0.169 ÷ 0.013 + 4 =?
(a) 4.011
(b) 4.013
(c) 4.015
(d) None
Q-2 L.C.M. of 4,6,12 is
(a) 6
(b) 12
(c) 14
(d) 18
Q-3 40 + 20 – ( – 32) = ?
(a) 93
(b) 92
(c) 90
(d) 68
Q-4 35/0.07 =?
(a) 600
(b) 500
(c) 600
(d) 800
Q-5 25 + 5 × 0.2 = 13(x)
Find x
(a) 3
(b) 4
(c) 2
(d) 5
Q-6 81 ÷ 9 + 8 × 3 = x
Find x
(a) 32
(b) 31
(c) 30
(d) 39
Q-7 Which of them is not a prime number?
(a) 91
(b) 73
(d) 37
(d) 50
Q-8 When a number is multiplied by 12 it gives 144. Find out the number?
(a) 12
(b) 13
(c) 18
(d) 29
Q-9 LCM of 2, 4, 6,8,10 is
(a) 110
(b) 120
(c) 130
(d) 136
Q-10 14/5 × 15/7 × 7/6 = x/21
(a) 146
(b) 148
(c) 147
(d) 150
Q-11 If 50 % of 100 = (4x)/8
Find x
(a) 50
(b) 100
(c) 150
(d) None
Q-12 If gcd (14,17) = 1, then it is
(a) Coprime No.
(b) Prime No.
(c) Natural No.
(d) None
Q-13 GCD of (14, 21) = ?
(a)6
(b) 14
(c) 7
(d) 9
Q-14 When sum of two No. is 125 & their difference is 101, Find the Nos.
(a) 113, 11
(b) 113, 12
(c) 113, 19
(d) None
Q-15 Find the Prime no. from the following?
(a) 15
(b) 19
(c) 16
(d) 50
Q-16 Which of them is divisible by 3?
(a) 114
(b) 125
(c) 139
(d)137
Q-17 Find out from the following that which is divisible by 4 ?
(a) 1448
(b) 1451
(c) 1468
(d) None
Q-18 Which value should be added to 16 so that it is divisible by 3 ?
(a) 2
(b) 3
(c) 4
(d) 6
Q-19 What value should be subtracted from 16 so that it is divisible by 3?
(a) 2
(b) 1
(c) 3
(d) 5
Q-20 What is the difference between two consecutive even numbers?
(a) 2
(b) 3
(c) 1
(d) 4
Q-21 What is the difference between two consecutive odd numbers ?
(a) 3
(b) 2
(c) 21
(d) 1
Q-22 What is the difference between two consecutive natural numbers ?
(a) 1
(b) 2
(c) 3
(d) 4
Q-23 Between 1 to 10, how many prime numbers are there?
(a) 4
(b) 3
(c) 6
(d) None
Q-24 A prime numbers is either divisible by 1 or by
(a) 2
(b) itself
(c) 3
(d) 9
Q-25 4, 8, 12, 16, -------- is a
(a) A.P.
(b)G.P.
(c) H.P.
(d) None

Answers:

1. b 4.013
2. b 12
3. b 92
4. b 500
5. c 2
6. b 31
7. d 50
8. a 12
9. b 120
10. c 147
11. b 100
12. a Coprime No.
13. c 7
14. b 113, 12
15. b 19
16. a 114
17. a 1448
18. a 2
19. b 1
20. a 2
21. b 2
22. a 1
23. a 4
24. b itself
25. a A.P.

Reasons:

1 0.169 ÷ 0.013 + 4 = 0.013 + 4 = 4.013
3 40 + 20 + 32 = 92
4 35/0.07 = (35 × 100) /7 = 500
5 25 + 5 × 0.2 = 13x = 25 + 1 = 13x
26 = 13x, x =2
6 81 ÷ 9 + 8 × 3 = x
9 + 8 × 3 = x
31 = x
8 12x = 144
x = 12
10 14/5 × 15/7 × 7/6 = x/21
21/3 = x/21
441/3 = x, x = 147
11 50% of 100 = 4x/8
50/100 × (100) = 4x/8
400 = 4x, x = 100
14 x+ y = 125 ---(1)
x – y = 101 ---(2)
Add
2x = 226, x = 113
Put in (1)
113 + y = 125
y = 12
16 Because 1 +1 + 4 = 6
Which is divisible by 3

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%

Quanta Test 2

Quanta Test 

Q-1 011 =?
(a) 11 (b) 0
(c) 2 (d) None

Q-2 Ö60 ´ Ö13
(a) Ö785 (b) Ö780
(c) Ö777 (d) None
Q-3 1 is
(a) Prime number
(b) Neither prime nor composite
(c) a & b
(d) None
Q-4 If S=15, P = 21, find eq.
(a) x2 + 12x + 19 = 0
(b) x2 + 26x + 181 = 0
(c) x2 + 15x + 21 = 0
(d) None
Q-5 Find the sum of 320th term
(a) 631 (b) 630
(c) 665 (d) 6:9
Q-6 What will be sum of 4 + 6 + 8 + 10 + 12 + 14
(a) 521 (b) 54
(c) 63 (d) 31
Q-7 Find 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16
(a) 73 (b) 74
(c) 71 (d) 72
Q-8 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15
(a) 106 (b) 107
(c) 108 (d) 109
Q-9 75 ´ 35
(a) 2635 (b) 2625
(c) 2665 (d) None
Q-10 Find 75 ´ 75
(a) 5663 (b) 5625
(c) 5663 (d) 1925
Q-11 Find 315.65 + 30.25 – 119.361
(a) 225 (b) 226.539
(c) 236.563 (d) None
Q-12 10% of 90 = x (15)
Find the value of x
(a) 3/91 (b) 3/5
(c) 3/11 (d) None
Q-13 x % of 120 + 315 = 300
(a) – 160/14 (b) – 150/12
(c) – 130/21 (d) None
Q-14 Find (522 – 502) / (52 – 50) (52 + 50)
(a) 2 (b) 1
(c) 3 (d) 4
Q-15 15.21 + 14.263 + x = 35.65
(a) 6.178 (b) 6.177
(c) 6.1 (d) None
Q-16 Find (153 + 123) /(15)2 – 15 ´ 12 + (12)2
(a) 26 (b) 27
(c) 28 (d) 29
Q-17 15.63 + 56 + 9.631 – x = 25.65
(a) 55.611 (b) 56.65
(c) 57.65
(d) 58.671
Q-18 (99) 11
(a) 1081
(b) 1089
(c) 1079
(d) 1069
Q-19 29/6 + 2 ⅓ + 31/6 = x
Find x
(a) 13.3
(b) 13.4
(c) 13.5
(d) None
Q-20 Ö125/5 + Ö81/3 + Ö25/5 = x
Find x
(a) 5
(b) 6
(c) 7
(d) 8
Q-21 Ö196 + Ö256 = x
(a) 30
(b) 32
(c) 31
(d) 63
Q-22 Ö169/Ö225 = Ö256/x
Find x
(a) 18.46
(b) 18.48
(c) 18.96
(d) 18.41
Q-23 (15 ´ 13) + 16 – 11 = x
Find x
(a) 200
(b) 205
(c) 209
(d) 210
Q-24 15 + 65 ¸ 13 – 11 ´ 13 = x
(a) – 122
(b) – 123
(c) – 124
(d) – 129
Q-25 105 + 65 – 56 of 2 = x
(a) 55
(b) 58
(c) 59
(d) 60

Answers:

1. b 0
2. b Ö780
3. b Neither Prime nor composite
4. b x2 + 26x + 181 = 0
5. b 630
6. b 54
7. d 72
8. c 108
9. b 2625
10. b 5625
11. b 226.539
12. b 3/5
13. b –150/12
14. b 1
15. b 6.177
16. b 27
17. a 55.611
18. b 1089
19. c 13.5
20. b 6
21. a 30
22. a 18.46
23. a 200
24. b –123
25. b 58

Reasons:      5 Sum of 320th term = 3(20(20 + 1)/2 = 30(21) = 630
6 4 + 6 + 8 + 10 + 12 + 14 = 2(2 + 3 + 4 + 5 + 6 + 7 +)
= 2(1 + 2 + 3 + 4 + 5 + 6 + 7 – 1)
=2 (å7 – 1)
= 2 (7(7 +1)/2 – 1) = 2 (7 (8)/2) – 1)
= 2 (28 – 1 ) = 2 (27) =54
7 Sum will be = 8(8 + 1) =723
8 Sum will be = (15 + 1)2/2 = 256/2 =108
9 75 ´ 35 = 7 ´ 3 + 5, 5 ´ 5 = 2625
10 75 ´ 75 = 7 (7+1) (5´5) = 5625
12 (10/100) ´9 = x(15) = 15x = 9, x = 9/5 = 3/5
13 (x/100) (120) + 315 = 300
(12/10) x + 315 = 300
12x/10 = – 15
12x = –150
x = –150/12
14 (52 – 50) (52 + 50)/(52 – 50) (52 + 50) = 1
16 Here we use
x3 + y3/ x2 – xy + y2 = x + y
15 + 12 = 27
18 (100 – 1) 11 = 1100 – 11 = 1089
19 29/6 + 7/3 + 31/6 = x
(29 + 21 + 31)/6 = x
51/6 = x, x = 13.5
20 Ö16/2 + Ö81/3 + Ö25/5 = x
4/2 + 9/3 + 5/5 = x
2 + 3 + 1 = x, x= 6
21 Ö196 + Ö256 = 14 + 16 = 30
22 13/15 = 16/x = x = (16 ´ 15)/13 = 18.46
23 (15´ 13) + 16 – 11 = x
195 + 16 – 11 = x
211 – 11 = x, x =200
24 15 + 5 – 11 ´ 13 = x
15 ´ 5 – 143 = x
20 – 143 = x, x = – 123
25 105 + 65 – 112 = 58

Quanta 1

Mock Test Quantitative Ability 1

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
Q-11 A truck needs 15 liters of fuel for covering 255 km. How much fuel will it need to cover 170 km ?
(a) 15 liters
(b) 9 liters
(c) 10 liters
(d) 8 liters
Q-12 How many numbers are there in 9000, 1000, 1111, 9999 which have more than 4 digits?
(a) 2
(b) 3
(c) 1
(d) None
Q-13 How many numbers between 200 and 600 (both the numbers inclusive) are divisible by 4,5 and 6?
(a) 5
(b) 7
(c) 6
(d) 4
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
(a) 40/3
(b) 13 ½
(c) 13 ½
(d) 27/2
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
(a) 85 years
(b) 90 years
(c) 80 years
(d) 95 years
Q-16 30% of 240 + 10% of 200 is equal to
(a) 82
(b) 62
(c) 92
(d) 72
Q-17 999 ¸ 3 ¸ 0.3 is equal to
(a) 333
(b) 222
(c) 1110
(d) 444
Q-18 Divide Rs. 7700 among A, B and C in the ratio of 5:4:2. The shares of A, B, C are
(a) 1400, 3500, 2800
(b) 3500, 2800, 1400
(c) 2800, 1400, 3500
(d) None of these
Q-19 The cube of the figure 11 is:
(a) 1031
(b) 1231
(c) 1131
(d) 1331
Q-20 The average of 3 numbers is 24. If two of the numbers are 16 and 26, the third number is
(a) 32
(b) 34
(c) 28
(d) 30
Q-21 The total number of Prime numbers less than 30 is
(a) 10
(b) 9
(c) 12
(d) 11
Q-22 The greatest fraction among 7/8, 8/9, 9/10, 11/15 is
(a) 11/15
(b) 9/10
(c) 8/9
(d) 7/8
Q-23 If we divide 83 by three, the remainder will be
(a) 3
(b) 2
(c) 1
(d) 0
Q-24 Which of these is the smallest?
(a) -5
(b) -4
(c) 2
(d) 0
Q-25 In how many days will 8 men complete a work which 12 men take 24 days to finish?
(a) 38 days
(b) 36 days
(c) 20 days
(d) 25 days

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%
11. (c) 10 liters
Full needed for 255 km = 15 liters
Fuel needed for 1 km = 15/255 liters
Fuel needed for 170 km = 15/255 ´ 170 liters =10 liters
12. (d) None
None of the given numbers has more than four digits
13. (b) 7
L.C.M. of 4, 5 and 6 = 60
The numbers, which are divisible by 4, 5 and 6 are also divisible by 60
Required numbers between 200 and 600 are 240, 300, 360, 420, 480, 554 and 600
These are 7 numbers
14. (a) 40/3
Numbers of Pass students in first class = 40 ´ 10 / 100 = 4
Numbers of Pass students in second class = 50 ´ 20 /100 = 10
Numbers of Pass students in third class = 60 ´ 10 / 100 = 6
Total Students = 40 + 50 + 60 = 150
Total pass students = 4 + 10 +4 = 20
Total pass % = 20/150 ´ 100 = 40 / 3 = 40/3

15. (b) 90 years
Average age of 11 persons = 60
Total age of 11 persons = 60 ´11 = 660
Average age of first 5 persons = 58
Total age of first 5 persons = 58 ´ 5 = 290
Average age of last 5 persons = 56
Total age of last 5 persons = 56 ´ 5 = 280
Age of 6th person = 660 -(290 + 280)
= 660 - 570 = 90 years

16. (c) 92
30% of 240 + 10% of 200 = 30/100 ´ 240 + 10/100 ´ 200 = 72 + 20 = 92

17. (c) 1110
999 ¸ 3 ¸ 0.3 = 999 ´ 1/3 ´ 10/3 = 1110
18. (b) 3500, 2800, 1400
Ratio = 5 : 4: 2
Proportional sum = 5 + 4 + 2 = 11
A’s share = 5/11 ´ 7700 = Rs. 3500
B’s share = 4/11 ´ 7700 = Rs. 2800
C’s share = 2/11 ´ 7700 = Rs. 1400
19. (d) 1331
Cube of 11 = (11) 3 = 11 ´ 11 ´ 11 = 1331
20. (d) 30
Average of 3 members = 24
Sum total of these numbers = 24 ´ 3 = 72
Sum of given two numbers = 16 + 26 = 42
Therefore the third number = 72 - 42 = 30
21. (a) 10
Prime numbers less than 30 are 2, 3, 5, 7, 11, 17, 19, 23, 29. These are 10 numbers
22. (b) 9/10
7/8, 8/9, 9/10, 11/15 = (315, 329, 324, 264) / 360
324 is the greatest of all numerators
\ 9/10 is the greatest of all given fractions
23. (b) 2
83 = 27 ´ 3 + 2 , So the Remainder = 2
24. (a) -5
The number which lies on the left of all given numbers on the numbers line is -5. This is the least number

25. (b) 36 days
Time taken by 12 men to complete the work = 24 days
Time taken by 1 man to complete the work = 24 ´ 12 days
Time taken by 8 men to complete that work = (24 ´ 12) / 8 = 36 days

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 9

Quanta Test 9

Q-1 Under root of(0 ´5) =?
(a) 1 (b) 0 (c) 3 (d) 9
Q-2 under root of25 under root of100 under root of36
(a) 350 (b) 360 (c) 300 (d) 310
Q-3 under root of 729/81 = under root of 441/x Find x
(a) 64 (b) 63 (c) 61 (d) 65
Q-4 Find under root of15 – 1 / under root of15 + 1
(a) (8 – under root of 15)/7 (b) (8 + under root of15)/7 (c) (8 – under root of15)/7 (d) None
Q-5 Find 1/under root of6 – under root of5
(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
Q-6 Find the following which is perfect square
(a) 431 (b) 411 (c) 451 (d) 441
Q-7 From the following which is a perfect cube
(a) 216 (b) 226 (c) 156 (d) 286
Q-8 under root of x/100 = 1/10
(a) 101 (b) 100 (c) 104 (d) None
Q-9 under root of 19 + under root of 15/under root of 19 – under root of 15 =?
(a) (17 under root of 285) /2 (b) (17 – under root of 285)/3 (c) 17 + under root of 285 (d) None
Q-10 (27)3 = 3x/3 , Find x
26 (b) 27 (c) 28 (d) 29
Q-11 under root of 729/x = 27/5, find the value of x
(a) 5 (b) 6 (c) 7 (d) 8
Q-12 Which four digit No. is a perfect square
(a) 2500 (b) 2600 (c) 2700 (d) 2800
Q-13 From the following which four digit No. is a perfect cube.
(a) 2000 (b) 1000 (c) 3000 (d) 3500
Q-14 under root of 17 ´ under root of 18
(a) 17.46 (b) 17.49 (c) 17.89 (d) 17.50
Q-15 LCM of 22, 6 is
(a) 2 (b) 4 (c) 6 (d) 12
Q-16 LCM of 45, 46, 47, 48, 411is
(a) 411 (b) 48 (c) 45 (d) None
Q-17 15 & 20 are two No. & HCF is
(a) 21 (b) 20 (c) 23 (d) 24
Q-18 HCF (11-1, 11-5, 11-9, 11-12)
(a) 1112 (b) 11-9 (c) 11-5 (d) 11-1
Q-19 HCF of 12, 12, 12 is
(a) 12 (b) 122 (c) 123 (d) None
Q-20 HCF of 25, 50, 100, 125
(a) 120 (b) 125 (c) 25 (d) None

Answers:

1. b 0
2. c 300
3. b 63
4. a (8 – under root of 15) /7
5. a under root of 6 + under root of 5
6. d 441
7. a 216
8. b 100
9. a (17 + under root of 285)/2
10. b 27
11. a 5
12. a 2500
13. b 1000
14. b 17.49
15. d 12
16. a 411
17. b 20
18. a 11-12
19. a 12
20. c 25

Reasons:

3 27/81 = 27/x, x = 63
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
(under root of 15 – 1)2/ (under root of 15)2 – 1 = 15 + 1 – 2 under root of 15/15 – 1
16 – 2under root of 15 /14 = 2 (8 –under root of 15)/14 = 8 –under root of 15 /7
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
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
8 under root of x/100 = 1/10 = under root of x = 10, x = 100
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
(under root of19 + under root of15)2 / (19) – (15) = (under root of19 + under root of 15)2/4
(19 + 15 + 2under root of 19 under root of15)/4 = 34 + 2 under root of 285/ 4 = 17 + under root of 285 /2
10 (33)3 = 3x/3 = 39 = 3x/3
9 = x/3, x = 27
14 under root of17 ´under root of 18 = under root of 306 = 17.49
17 L.C.M. ´ HCF = Product of two No.
L.C.M. ´ 15 = 15 ´20
LCM = 300 /15 = 20
18 Take the least power

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