Z is the remainder when the smallest 4-digit number is exactly divisible by 24 and 36 is divided by 40. Find the square of Z.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 64.
Given that,
The four-digit smallest number is exactly divisible by 24 and 36
LCM (24, 36) = 72
The 4-digit smallest number should be divided by 72
⇒ 72 × 14 = 1008
When we divide the number 1008 by 40, the remainder will be 8
Remainder (z) = 8
Hence, the value of z2 = 82 = 64