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SSC Quantitative Aptitude - Problems on Numbers Study Materials with Answer

Quantitative Aptitude - Problems on Numbers

Exam Duration: 45 Mins Total Questions : 30

1 )

The difference of two numbers is 20% of the larger number.If the smaller number is12,the larger one is:

(a)
15
(b)
16
(c)
18
(d)
20

2 )

If one-seventh of a number exceeds its eleventh party by 100,then the number is :

(a)
770
(b)
1100
(c)
1825
(d)
1925

3 )

If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is:

(a)
2
(b)
3
(c)
4
(d)
6

4 )

If 50 is subtracted from two-third of a number,the result is equal to sumof 40 and one-fourth of that number. What is the number?

(a)
174
(b)
216
(c)
246
(d)
336

5 )

If the sum of a number and its square is 182,what is the number?

(a)
15
(b)
26
(c)
28
(d)
91
(e)
None of these

6 )

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

7 )

Three numbers are in the ratio 3:4:6 and their product is 1944.The largest of these numbers is:

(a)
6
(b)
12
(c)
18
(d)
None of these

8 )

The sum of the two numbers is 22.Five times one number is equal to 6 times the other.The biggest of the two number is:

(a)
10
(b)
12
(c)
15
(d)
16

9 )

If the sum of the two number is 33 and their difference is 15,smaller number is:

(a)
9
(b)
12
(c)
15
(d)
18

10 )

The two numbers differ by 5.If their product is 336,then the sum of the two numbers

(a)
21
(b)
28
(c)
37
(d)
51

11 )

Two different natural numbers sre such that their product is less than their sum.One of the numbers must be.

(a)
1
(b)
2
(c)
3
(d)
None of these

12 )

The product of two number is 45 and the sum of their squares is 106.The numbers are:

(a)
3 and 5
(b)
5 and 9
(c)
5 and 19
(d)
45 and 1

13 )

The difference between two positive integers is 3.If the sum of their squares is 369,then the sum of the number is:

(a)
25
(b)
27
(c)
33
(d)
81

14 )

The sum of three consecutive numbers 87.The greatest among these three numbers is:

(a)
26
(b)
28
(c)
29
(d)
30

15 )

The product of three consecutive even numbers when divided by 8 is 720.The product of their square roots is:

(a)
\(12 \sqrt{10}\)
(b)
\(24 \sqrt{10}\)
(c)
120
(d)
None of these

16 )

The sum of three consecutive multiplies of 3 is 72.What is the largest number?

(a)
21
(b)
24
(c)
27
(d)
36

17 )

What is the sum of two consecutive even numbers,the difference of whose squares is 84?

(a)
34
(b)
38
(c)
42
(d)
46

18 )

There are two numbers such that the sum of twice the first and thrice the second is 39.while the sum of thrice the first and twice the second is 36.The larger of the two is:

(a)
6
(b)
8
(c)
9
(d)
12

19 )

A number consists of two digits.If the digits interchanged places and the new number is added to to the original number,then the resulting number will be divisible by:

(a)
3
(b)
5
(c)
9
(d)
11

20 )

The sum of the digits of a two-digit number is 9 less than the number.Which of the following following digits is at unit's place of the number?

(a)
1
(b)
2
(c)
4
(d)
Data inadequate

21 )

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36.Which is the smallest of the two numbers?

(a)
29
(b)
70
(c)
92
(d)
cannot be determined
(e)
None of these

22 )

The difference between a two-digit number and the number obtained by interchanging the digits is 36.What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?

(a)
4
(b)
8
(c)
16
(d)
None of these

23 )

A number consists of two digits such that the digits in the ten's place is less by 2 than the digit in the unit's place.Three times the number added to \(6\over7\) times the number obtained by reversing the digits equals 108.The sum of the digits in the number is

(a)
6
(b)
7
(c)
8
(d)
9

24 )

The difference between the numerator and the denominator of a fraction is 5.If 5 is added to its denoiminator,the fraction is decreased by \(1\frac { 1 }{ 4 } \).Find the value of the fraction.

(a)
\(1\over6\)
(b)
\(2\frac { 1 }{ 4 } \)
(c)
\(3\frac { 1 }{ 4 } \)
(d)
6

25 )

The numerator and denominator of a fraction in the ratio of 2:3.If 6 is subtaction from the numerator,the result is a fraction that has a value \(2\over3\)of the original fraction.The numerator of the original fraction is:

(a)
6
(b)
18
(c)
27
(d)
36

26 )

If the numerator of a fraction is increased by 2 and the denominator is increased by 3,the fraction becomes \(7\over9\)and if both the numerator as well as the denominator are decreased by 1,the fraction becomes \(4\over5\).What is the original fraction?

(a)
\(5\over6\)
(b)
\(9\over11\)
(c)
\(13\over16\)
(d)
\(17\over21\)

27 )

What is the ratio between the two numbers?

I.The sum of two numbers is twice their difference.
II.The smaller number is 6.

(a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
(b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
(d)
if the data even in both Statements I and II together are not sufficient to answer the question
(e)
if the data in both Statements I and II together are necessary to answer the question.

28 )

What is the number ?

I.The sum of the two digits is 8.The ratio of the two digits is 1 : 3
II.The product of two digits of a number is 12.The quotient of two digits is 3.

(a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
(b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
(d)
if the data even in both Statements I and II together are not sufficient to answer the question
(e)
if the data in both Statements I and II together are necessary to answer the question.

29 )

What is the sum of the digits of the two-digit number ?

I.The ratio between the ten's digit and unit's digit of the number is 3 : 2.
II.The number obtained on reversing the order of its digits is 18 less than the original number.
III.The product of the digits is 24.

(a)
Any two of the three
(b)
I only or II and III only
(c)
All I,II and III
(d)
I and II only
(e)
None of these

30 )

What will be the sum of two numbers?

I.Among the two numbers ,the bigger number is greater than the smaller number by 6.
II.40% of the smaller number is equal to 30% of the bigger number.
III.The ratio between the half of the bigger number and one-third of the smaller number is 2 : 1.