Quantitative Aptitude - Problems on Numbers
Exam Duration: 60 Mins Total Questions : 30
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
A number is doubled and 9 is added.If the resultant is trebled,it becomes 75.What is that number?
- (a)
3.5
- (b)
6
- (c)
8
- (d)
8
- (e)
None of these
When 24 is subtracted from a number,it reduces to its four-seventh.What is the sum of the digits of that number?
- (a)
1
- (b)
9
- (c)
11
- (d)
Data inadequate
- (e)
None of these
Find the number which when multiplied by 15 is increased by 196.
- (a)
14
- (b)
20
- (c)
26
- (d)
28
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
If the sum of one-half and one-fifth of a number exceeds one-third of that number by \(7{1\over3}\),the number is:
- (a)
15
- (b)
18
- (c)
20
- (d)
30
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
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 product of two numbers is 9375 and the quotient,when the larger one is divided by the smaller,is 15.The sum of the number is :
- (a)
380
- (b)
395
- (c)
400
- (d)
425
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
If the sumand difference of two numbers are 20 and 8 respectively,then the difference of their squares is:
- (a)
12
- (b)
28
- (c)
160
- (d)
180
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
The sum of four cosecutive even intergers is 1284.The greatest of them is:
- (a)
320
- (b)
322
- (c)
324
- (d)
326
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
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
The sum of the digits of a two-digits is \(1\over5\) of the difference between the number and the number obtained by interchanging the positions of the digis.What is definitely the difference betwen the digits of that number?
- (a)
5
- (b)
7
- (c)
9
- (d)
Data inadequate
- (e)
None of these
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
A number consists of 3 digits whose sum is 10.The middle digit is equal to the sum of the sum of the other two and the number will be increased by 99 if its are reserved.The number is:
- (a)
145
- (b)
253
- (c)
370
- (d)
352
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
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 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
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
243 has been divided into three parts such that half of the first part,one-third of the second part and one-fourth of the third part are equal.The largest part is
- (a)
74
- (b)
86
- (c)
92
- (d)
108
The sum of the numbers is 64.If you added 3 to the first number,3 is subtracted from the second number,the third number is multiplied by 3 and the fourth is divided by 3,then all the results are equal.What is the difference between the largest and the smallest of the original numbers?
- (a)
21
- (b)
27
- (c)
32
- (d)
Cannot be determined
- (e)
None of these
The sum of the squares of three numbers is 138,while the sum of their products taken two at a time is 131.The sum is:
- (a)
20
- (b)
30
- (c)
40
- (d)
None of these
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 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