Question

If the 8 digit number 136p5785 is divisible by 15, then find the least possible value of P.

• A. 1
• B. 3
• C. 4
• D. 2

Answer 1

Answer:

A. 1

Solution: Here we will use concept of divisibility Factors of 15 = (3 × 5) and the divisibility rule of 15 says that sum of digits be divided by 3 and the last number will be 5. The given number is = 136p5785, here the last digit is 5, so we will check divisibility of 3. ⇒ 1 + 3 + 6 + p + 5 + 7 + 8 + 5 = 35 + p The closed multiple of 3 is 36 ⇒ 36 = 35 + p ∴ p = 36 – 35= 1