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GATE 2026 XH5 (Psychology) – Question 19

Reasoning and Comprehension · Quantitative reasoning · 2 marks · Multiple choice

Given the first four terms 30, 105, 385, 1001 in a sequence, which amongst the following is the fifth term of the sequence?

  1. 2341
  2. 2431
  3. 2571
  4. 2751

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Show answer and explanation

Correct answer: (B) 2431

Explanation

Each term is a product of three consecutive primes: $30 = 2 \times 3 \times 5$, $105 = 3 \times 5 \times 7$, $385 = 5 \times 7 \times 11$ and $1001 = 7 \times 11 \times 13$. The fifth term is $11 \times 13 \times 17 = 2431$.