Problems on Numbers - Aptitude Questions and Answers Part 3

11. Four number are given such that their sum is 64. If I add X to first no., subtract X from second, multiply third by X and divide fourth by X, the resultants are all same. Given that X = 3, find the difference between the largest and smallest original number.

a. 21
b. 27
c. 30
d. 32

Answer: d. 32


12. If I multiply a number X by 15, it increases by 196. Find X.

a. 14
b. 20
c. 26
d. 28

Answer: a. 14


13. I have a fraction such that the numerator is smaller than the denominator by 3. If I add 4 both to the numerator and the denominator, the fraction becomes 4/5. Find the fraction.

a. 5/8
b. 7/10
c. 8/11
d. 10/13

Answer: c. 8/11


14. A positive number multiplied by 20 is 96 less than its square. What is the number?

a. 20
b. 24
c. 30
d. 34

Answer: b. 24


15. I have a two-digit number such that the unit's place digit is more than twice the ten's place digit by 1. If the digits in unit's place and the ten's place are interchanged, difference between the newly formed number and the original number is less than the original number by 1. What is the original number?

a. 37
b. 49
c. 52
d. 73

Answer: a. 37