Problems on Numbers
Exam Duration: 45 Mins Total Questions : 30
The different between a number and its three-fifth is 50.What is the number?
- (a)
75
- (b)
100
- (c)
125
- (d)
None of these
If a number decreased by 4 and divided by 6,the result is 8.What would be the result if 2 is subtracted from the number and then it is divided and then it is divided by 5?
- (a)
\(9{2\over3}\)
- (b)
10
- (c)
\(10{1\over5}\)
- (d)
\(11{1\over5}\)
- (e)
None of these
Three-fourth of a number is 60 more than its one-third.The number is:
- (a)
84
- (b)
108
- (c)
144
- (d)
None of these
If a number,when divided by 4,is reduced by 21,the number is:
- (a)
18
- (b)
20
- (c)
28
- (d)
38
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
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number.The number is :
- (a)
4
- (b)
5
- (c)
6
- (d)
10
The sum of a number its reciprocal is one-eigth of 34,What is the product of the number and its square root?
- (a)
8
- (b)
27
- (c)
32
- (d)
None of these
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
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
One-fifth of a number is equal to \(5\over8\)of another number.If 35 is added to the first number,it becomes four times of the second number.The second number is:
- (a)
25
- (b)
40
- (c)
70
- (d)
125
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
The sum of two numbers is 40 and their product is 375.What will be the sum of their reciprocals?
- (a)
\(1\over40\)
- (b)
\(8\over75\)
- (c)
\(75\over4\)
- (d)
\(75\over8\)
The sum of the positive integers multiplied by the bigger number is 204,and their difference multiplied by the smaller number is 35.The numbers are;
- (a)
12,5
- (b)
13,4
- (c)
14,3
- (d)
24,10
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
If the sum of two numbers is 22 and the sum of their squares is 404,then the product of the number is:
- (a)
40
- (b)
44
- (c)
80
- (d)
88
The sum of three consecutive numbers 87.The greatest among these three numbers is:
- (a)
26
- (b)
28
- (c)
29
- (d)
30
The sum of three consecutive multiplies of 3 is 72.What is the largest number?
- (a)
21
- (b)
24
- (c)
27
- (d)
36
In a two-digit number,the digit in the unit's place is four times the digit in ten's place and sum of the digits is equal to 10.What is the number?
- (a)
14
- (b)
41
- (c)
82
- (d)
Data inadequate
- (e)
None of these
The sum of the digits of a two-digits number is 15 and the difference between the digits is 3.What is the two-digits number?
- (a)
69
- (b)
78
- (c)
96
- (d)
Cannot be determined
- (e)
None of these
In a two-digit number,if it is known that its unit's digits exceeds its ten's digits by 2 and that the product of the given number and the sum of its is equal to 144.then the number is:
- (a)
24
- (b)
26
- (c)
42
- (d)
46
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
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
In a two-digit number,the digit in the unit's place is more than twice the digit in ten's placeby 1.If the digits the unit's place and ten's are interchanged difference the newly formed number and the original number is less than the original number by 1.What is the original number?
- (a)
25
- (b)
37
- (c)
49
- (d)
52
- (e)
73
The product of two fraction is \(14\over15\)and their quotient is \(35\over24\). The greater fraction is
- (a)
\(4\over5\)
- (b)
\(7\over6\)
- (c)
\(7\over4\)
- (d)
\(7\over3\)
In a pair of fractions,fraction A is twice the fraction B and the product of two fractions is \(2\over25\). What is the value of fraction A?
- (a)
\(1\over5\)
- (b)
\(1\over25\)
- (c)
\(2\over5\)
- (d)
Data inadequate
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)
\(8\over3\)
When the nemerator of a increases by 4,the fraction increases by \(2\over3\).The denominator of the fraction is:
- (a)
2
- (b)
3
- (c)
4
- (d)
6
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
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.
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.