Question

What is the least five-digit number that when decreased by 7 is divisible by 15, 24, 28, and 32?

• A. 10067
• B. 10087
• C. 10077
• D. 10097

Answer 1

Answer:

B. 10087

15 = 3 × 5 24 = 2 × 2 × 2 × 3 28 = 2 × 2 × 7 32 = 2 × 2 × 2 × 2 × 2 LCM of 15, 24, 28 and 32 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 = 3360 The number will be = (3360 × x) + 7 Put x = 3 number = (3360 × 3) + 7 = 10087