GATE AG 2010 • Q65 MCQ • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: I.C. engine cycles

Question Statement:

Given digits 2,2,3,3,3,4,4,4,4 how many distinct 4-digit numbers greater than 3000 can be formed?

Options:

  • (A) 50
  • (B) 51
  • (C) 52
  • (D) 54

Official Answer Key:

B

Step-by-Step Solution & Explanation

Available digit multiset: 2×'2', 3×'3', 4×'4' (9 symbols). Enumerating all distinct 4-digit arrangements (accounting for repeated digits) and retaining only those whose leading digit is 3 or 4 (i.e. value > 3000) gives 51 distinct numbers. Section 1 — Engineering Mathematics

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