Allied & ICAR Exam Bank • ALLIED_1690 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

When a positive integer $N$ is divided by 899, the remainder is 63. If the same number $N$ is divided by 29, the remainder will be:

Options:

  • (A) 5
  • (B) 2
  • (C) 10
  • (D) 12

Answer Key:

A

Step-by-Step Solution & Explanation

Since $899 = 29 \times 31$, $N = 899k + 63 = 29(31k) + (29 \times 2 + 5)$. Hence remainder $= 63 \pmod{29} = 5$.
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