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%