Question

Let x be the least number divisible by 16, 24, 30, 36 and 45, and x is also a perfect square. What is the remainder when x is divided by 123?

• A. 40
• B. 33
• C. 100
• D. 103

Answer 1

Answer:

B. 33

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 As we know, Number is a perfect square, then LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600 When 3600 is divided by 123, the remainder is 33.