If a given number 758P09Q5 is divisible by 3, then the least value of P + Q is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2.
Concept used:
Divisibility rule of 3: Sum of the digits of the number must be divisible by 3.
Calculations:
758P09Q5 is divisible by 3 such that
= 7 + 5 + 8 + P + 0 + 9 + Q + 5
= 34 + P + Q
If 34 + P + Q is divisible by 3 then we need a number above 34 divisible by 3 and we have 36
⇒ 34 + P + Q = 36
⇒ P + Q = 36 - 34 = 2