Quantitative Aptitude

General Questions

11.  The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?
A. 29
B. 70
C. 92
D. Cannot be determined
E. None of these
12.  The sum of the digits of a two-digit number is 1/5 of the difference between the number and the number obtained by interchanging the position of the digits. What is definitely the difference between the digits of that number ?
A. 5
B. 7
C. 9
D. Data inadequate
E. None of these
13.  The difference between a two-digit number and the number obtained by interchanging the digit 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. 16
C. 8
D. None of these
14.  In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :
A. 24
B. 26
C. 42
D. 46
15.  If the digit in the unit's place of a two-digit number is halved and the digit in the ten's place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely 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. Digit in the unit's place is half of the digit in the ten's place.
E. None of these.
16.  If the number obtained on interchanging the digits of a two-digit number is 18 more than the original number and the sum of the digits is 8, then what is the original number ?

A. 26
B. 35
C. 53
D. Cannot be determined
E. None of these
17.  A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :
A. 145
B. 253
C. 370
D. 352
18.  Of the three numbers, the sum of the first two is 45; the sum of the second and the third is 55 and the sum of the third and thrice the first is 90. The third number is :
A. 3
B. 20
C. 30
D. 25
19.  The sum of three numbers is 136. If the ratio between first and second be 2 : 3 and that between second and third is 5 : 3, then the second number is :
A. 40
B. 48
C. 72
D. 60
20.  The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :
A. 20
B. 30
C. 40
D. None of these

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