The largest number of four digits that is exactly divisible by 17 and 36 is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3. i.e. 9792.
Factors of 17 and 36
⇒ 17 = 1 × 17
⇒ 36 = 2 × 2 × 3 × 3
⇒ L.C.M = 22 × 32 × 17 = 4 × 9 × 17 = 612
Now, the greatest four-digit number is 9999
On dividing 9999 by 612 we get 207 as the remainder
Hence, the greatest number of four digits which is exactly divisible by 17, and 36 is 9792.