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%