TEST – 05 PROBLEMS ON NUMBERS
1. A number is as much greater than 36 as is less than 86. Find the number.
a)61
b) 72
c) 78
d) 87
2.Find a number such that when 15 is subtracted from 7 times the number, the
Result is 10 more than twice the number.
a)6
b) 5
c) 9
d) 7.
3. 3. The sum of a rational number and its reciprocal is 13/6. Find the number.
a) 2/3 or 3/4. b) 2/3 or 5/2.
c) 2/5 or 3/2. d) None
4. The sum of two numbers is 184. If one-third of the one exceeds one-seventh
of the other by 8, find the smaller number.
a) 65
b) 27
c) 72
d) 89
5. The difference of two numbers is 11 and one-fifth of their sum is 9. Find the
numbers.
a) 30 and 17. b) 28 and 17. c) 28 and 15.. d) 28 and 27.
6. . If the sum of two numbers is 42 and their product is 437, then find the
absolute difference between the numbers.
a) 3 .
b) 6
c) 5.
d) 4
7. The sum of two numbers is 16 and the sum of their squares is 113. Find the
numbers.
a) 7 and 8.
b) 8 and 8. c) 9 and 8..
d) 6 and 8.
8. The average of four consecutive even numbers is 27. Find the largest of these
numbers.
(a) 24
(b) 40
(c) 30
(d) 20
9. The sum of the squares of three consecutive odd numbers is 2531.Find the
numbers.
a) 27, 29 and 31
b) 21, 29 and 31
c) 27, 28 and 31.
d) 27, 29 and 35
10. Of two numbers, 4 times the smaller one is less then 3 times the 1arger one by 5.
If the sum of the numbers is larger than 6 times their difference by 6, find the two
numbers.
a) 59 and 47.
b)57 and 43.
c) 59 and 43.
d) 59 and 63.
11. The ratio between a two-digit number and the sum of the digits of that
number is 4 : 1.If the digit in the unit's place is 3 more than the digit in the ten’s
place, what is the number?
a) 29
b) 33
c) 25.
d) 36
12. . A number consists of two digits. The sum of the digits is 9. If 63 is subtracted
from the number, its digits are interchanged. Find the number.
a) 81
b) 69
c) 51.
d) 71
13. A fraction becomes 2/3 when 1 is added to both, its numerator and denominator.
And ,it becomes 1/2 when 1 is subtracted from both the numerator and
denominator. Find the fraction.
a) 9 / 5
b) 8 / 5
c). 3 / 5
d) 7 / 5
14. . 50 is divided into two parts such that the sum of their reciprocals is 1/ 12.Find
the two parts.
d) 30 and 20.
a) 50 and 20. b) 60 and 20. c) 40 and 20.
15. If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the
numbers
a) 5, 4 and 15.
b) 6, 6and 15. c) 4, 4 and 15.
d) 6, 4 and 15.
16. What value will come in place of question mark in the following equation?
(i) 0.006 +? = 0.6
a) 0.01
b) 0.02.
c) 0.03
d) 0.04
17. If (1 / 3.718) = 0.2689, Then find the value of (1 / 0.0003718).
a) 3689.
b) 4689.
c) 5689.
d) 2689.
18. Express as vulgar fraction : (i) 0.37
a) 33 / 99 ..
b) 37 / 90
.c) 37 / 99 . d) 34 / 99 .
19. Express as vulgar fractions : (i) 0.17
a) 8/ 45
b) 9/ 45
.c) 10/ 45
d) 7/ 45
20. . Evaluate :
(i)
136.09 + 43.9
a) 3.1
b) 3.2
c) 3.12
d) 3.13
ans:
1A
11 D
2 B
12 A
3A
13 C
4C
14 D
5B
15 D
6D
16 A
7A
17 D
8C
18 C
9A
19 A
10 C
20 A