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The number 311311311311 is divisible by:

  • A.3 only
  • B.11 only
  • C.3 and 11
  • D.Neither 3 nor 11

Answer: D

The number is formed by repeating '311' four times.

Divisibility by 3: Sum of digits = (3+1+1) × 4 = 5 × 4 = 20. Since 20 is not divisible by 3, the number is not divisible by 3.

Divisibility by 11: Sum of alternate digits. (1+3+1+3+1+3) - (1+1+1+1) = 12 - 4 = 8. No. Let's do it right to left. (1+1+1+1+1+1) - (3+3+3+3) = 6-12=-6. No. Let's do odd/even positions. (3+1+1+1+1+1)-(1+3+1+3+1+3) = 8-12=-4. It is not divisible by 11.

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