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