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  9. Q60

MPSC State Service 2020 · CSAT · Question 60 of 77

A natural number P is multiplied by 11 and 33 is added to it. This sum is divided by 9 and the remainder is zero. Select the smallest value of P that satisfies given conditions.

Quantitative Aptitude

  1. A1
  2. B3
  3. C6Correct
  4. D15

Answer: C. 6

Explanation

(11P+33) divisible by 9 gives 2P+6 = 0 mod 9, i.e. P = 6 mod 9; smallest natural P is 6.

Source: MPSC Rajyaseva Prelims 2020 – CSAT Paper II (Set C), official paper

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