Problems on HCF and LCM - Aptitude Questions Part 5

21. Consider the following:
A and B are two numbers such that (A + B) = 528
HCF of A and B = 33.
How many pairs of such numbers exist?


a. 4
b. 6
c. 8
d. 12

Answer: a. 4


22. Given:
i. X, Y, Z are three numbers in the ratio - 1 : 2 : 3.
ii. Their HCF = 12.
Find the numbers.


a. 4, 8, 12
b. 5, 10, 15
c. 10, 20, 30
d. 12, 24, 36

Answer: d. 12, 24, 36


23. How can I represent 252 as a product of just the prime numbers?

a. 2 * 2 * 2 * 3 * 7
b. 2 * 2 * 3 * 3 * 7
c. 2 * 3 *3 * 3 * 7
d. 3 * 3 *3 * 3 * 7

Answer: b. 2 * 2 * 3 * 3 * 7


24. Which of the following numbers has the maximum number of divisors?

a. 99
b. 101
c. 176
d. 182

Answer: c. 176


25. Given:
Three number: 1.75, 5.6 and 7
Find their HCF.


a. 0.07
b. 0.7
c. 0.35
d. 3.5

Answer: c. 0.35