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TNPSC Quantitative Aptitude - Problems on Numbers Important Questions

TNPSC Quantitative Aptitude - Problems on Numbers

Exam Duration: 45 Mins Total Questions : 30

1 )

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

2 )

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

3 )

Two-third of a positive number and \(25\over216\) of its reciprocal are equal.The number is

(a)
\(5\over12\)
(b)
\(12\over5\)
(c)
\(25\over144\)
(d)
\(144\over25\)

4 )

Find a positive number which when incresed by 17 is equal to 60 times is reciprocal of the number

(a)
3
(b)
10
(c)
17
(d)
20

5 )

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

6 )

Three numbers are in the ratio 4:5:6 and their average is 25. The largest numbers is:

(a)
30
(b)
32
(c)
36
(d)
42

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 )

Two numbers are such that ratio between them is 4:7.If each is increased by 4,the ratio becomes 3:5. The larger number is:

(a)
36
(b)
48
(c)
56
(d)
64

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 product of two numbers is 192 and the sum of these two numbers is 28.Wht is the smaller of these two numbers?

(a)
12
(b)
14
(c)
16
(d)
18
(e)
None of these

11 )

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

12 )

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

13 )

The product of two numbers is 120 and the sumof their squares is 289.The sum of the number is:

(a)
20
(b)
23
(c)
169
(d)
None of these

14 )

The sum of the squares of two numbers is 3341 and the difference of their squares is 891.The numbers are:

(a)
28,36
(b)
25,46
(c)
35,46
(d)
None of these

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 )

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

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

17 )

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

18 )

A two-digit number exceeds the sum of the digits of that number by 18.If the digit at the unit's place is double the digit in the ten's place,What is the number?

(a)
24
(b)
42
(c)
48
(d)
Data inadequate

19 )

If the digit in the unit's place of a two-digit number is halved and the digitin the ten's place is doubled,the number thus obtained is equal to the number obtained by interchanging the digit.Which of the following is difinitely true?

(a)
Sum of the digits is a two-digit number.
(b)
Digit in the unit's place is twice the digit in the ten's place.
(c)
Digits in the unit's place and the ten's place are equal.
(d)
Digits in the unit's place is half of the digit in the ten's place.
(e)
None of these

20 )

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

21 )

A two-digit number becomes five-sixth of itself when its digits are reserved.The two digits differ by one.The number is:

(a)
45
(b)
54
(c)
56
(d)
65

22 )

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

23 )

The digit in the unit's place of a number is equal to the digit in the ten's place of half of that number and the digit in the ten's place of that number is less than the digit in unit's place of half of the number by 1.If the sumof the digits of the number is 7,then what is the number?

(a)
34
(b)
52
(c)
162
(d)
Data inadequate
(e)
None of these

24 )

A certain number of two digits is three times the sum of its digits and its digits and if 45 be added to it,the digits are reversed.The number is:

(a)
23
(b)
27
(c)
32
(d)
72

25 )

The sum of the numerator and demoninator of a fraction is 11.If 1 is added to the numerator.If 1 is added to the numerator and 2 is subtracted from the denominator,it becomes \(2\over3\).The fraction is:

(a)
\(5\over6\)
(b)
\(6\over5\)
(c)
\(3\over8\)
(d)
\(8\over3\)

26 )

If 1 is added to denominator of a fraction,the fraction becomes \(1\over2\).If 1 is added the numerator of the fraction.the fraction becomes 1.The fraction is:

(a)
\(1\over3\)
(b)
\(2\over3\)
(c)
\(3\over4\)
(d)
\(3\over2\)

27 )

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the seccond is 780.The bigger part is:

(a)
24
(b)
34
(c)
30
(d)
32

28 )

What is the two-digit number ?

I.The difference between the two digits is 9.
II.The sum of the digits is equal to the difference between the two digits.

(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 )

The difference between the digits of a two-digit number is 4.What is the digit in the unit's place ?

I.The difference between the number and the number obtained by interchanging the positions of the digits is 36.
II.The sum of the digits of that number is 12.

(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

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.