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SSC GD Constable 2021 · Question 346 of 377

If a given number 758P09Q5 is divisible by 3, then the least value of P + Q is :

number-system

  1. A2Correct
  2. B5
  3. C4
  4. D3

Answer: A. 2

Explanation

Given: 758P09Q5 is divisible by 3 Concept used: If a number is completely divisible by 3 if the sum of its digits is divisible by 3. Calculation: 7 + 5 + 8 + P + 0 + 9 + Q + 5 = 34 + P + Q Here, 34 + P + Q is divisible by 3 The closest number which is divisible by 3 to the 34 + P + Q is 36 So, P + Q = 36 - 34 ⇒2 ∴ The least value of P + Q is 2.

Source: SSC GD Constable 2021 Prev. Year Paper (2021-12-02 Shift 3) English — Prepp (with solutions) · reliable-secondary

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