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Wednesday, September 30, 2020

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

Monday, August 17, 2020

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%


Saturday, February 13, 2016

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

Tuesday, February 9, 2016

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

Saturday, January 23, 2016

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