PROBLEMS ON NUMBERS QUESTIONS AND ANSWERS
1. If one-fourth of one-third of one-half of a number is 15, the number is:
A. 72
B. 120
C. 180
D. 360
ANSWER : 360
2. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the
sum of the third and 52. The smallest number is:
A. 20
B. 27
C. 39
D. 52
ANSWER : 39
3. The sum of three consecutive odd numbers is 57. The middle one is:
A. 19
B. 21
C. 23
D. 17
ANSWER : 19
4. The sum of squares of two numbers is 80 and the square of their difference is 36. The
product of the two numbers is:
A. 22
B. 44
C. 58
D. 116
ANSWER : 22
5. A number is as much greater than 31 as is less than 55. The number is:
A. 47
B. 52
C. 39
D. 43
ANSWER : 52
6. The ratio between two numbers is 3:4 and their sum is 420. The greater of the two
numbers is:
A. 175
B. 200
C. 240
D. 315
ANSWER : 240
7. A fraction becomes 4 when 1 is added to the both the numerator and denominator; and it
becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator
of the given fraction is:
A. 2
B. 3
C. 7
D. 15
ANSWER : 15
8. The difference of two numbers is 8 and th of their sum is 35. The numbers are:
A. 132.140
B. 128.136
C. 124.132
D. 136.144
ANSWER : 136.144
9. of a number exceeds its by 8. The number is:
A. 30
B. 60
C. 90
D. none of these
ANSWER : 60
10. The sum of two numbers is twice their difference. If one of the numbers is 10, the other
number is:
A. 3
B. 30
C. 3
D. 4
ANSWER : 30
11. A positive number when decreased by 4, is equal to 21 times the reciprocal of the
number. The number is:
A. 3
B. 5
C. 7
D. 9
ANSWER : 7
13. A number whose fifth part increased by 5 is equal to its fourth part diminished by 5, is:
A. 160
B. 180
C. 200
D. 220
ANSWER : 200
14. of a number subtracted from of the number gives 12. The number is:
A. 141
B. 72
C. 120
D. 63
ANSWER : 141
15. The sum of two numbers is 100 and their difference is 37. The difference of their squares
is:
A. 37
B. 100
C. 63
D. 3700
ANSWER : 100
16. Three fourth of one-fifth of a number is 60. The number is:
A. 300
B. 400
C. 450
D. 1200
ANSWER : 400
17. The sum of two numbers is 15 and sum of their squares is 113. The number are:
A. 4, 11
B. 5, 10
C. 6, 9
D. 7, 8
ANSWER : 7, 8
18. of a number is 19 less than the original number. The number is:
A. 84
B. 64
C. 76
D. 72
ANSWER : 76
19. of a certain number is 64. Half of that number is:
A. 32
B. 40
C. 80
D. 16
ANSWER : 40
20. The different of two numbers is 5 and the difference of their squares is 135. The sum of
the number is:
A. 27
B. 25
C. 30
D. 32
ANSWER : 27
21. 11 times a number gives 132. The number is:
A. 11
B. 12
C. 13.2
D. none of these
ANSWER : none of these
22. If one-fifth of a number decreased by 5 is 5, then the number is:
A. 25
B. 50
C. 60
D. 75
ANSWER : 50
23. Three-fourth of a number is more than two-third of the number by 5 The number is:
A. 72
B. 60
C. 84
D. 48
ANSWER : 60
24. The product of two numbers is 120. The sum of their squares is 289. The sum of the two
numbers is:
A. 20
B. 23
C. 169
D. none of these
ANSWER : 23
25. 24 is divided into two parts such that 7 times the first part added in 5 time the second
part makes 146. The first part is:
A. 11
B. 13
C. 16
D. 17
ANSWER : 13
26. The sum of two numbers is 29 and the difference of their squares is 145. The difference
between the number is
A. 13
B. 5
C. 8
D. 11
ANSWER : 5
27. A certain number of two digits is three times the sum of its digits and if 45 be added to it,
the digits are reversed. The number is:
A. 32
B. 72
C. 27
D. 23
ANSWER : 27
28. If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
Answer: D
29. Three times the first of three consecutive odd integers is 3 more than twice the third. The
third integer is:
A. 9
B. 11
C. 13
D. 15
Answer: D
30. The difference between a two-digit number and the number obtained by interchanging
the positions of its digits is 36. What is the difference between the two digits of that number?
A.
B.
C.
D.
E.
3
4
9
Cannot be determined
None of these
Answer: Option B