Allied & ICAR Exam Bank • ALLIED_1870 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

How many 4-digit numbers greater than 5000 can be formed using the digits 2, 4, 5, 7, 8 without repetition?

Options:

  • (A) 72
  • (B) 48
  • (C) 96
  • (D) 60

Answer Key:

A

Step-by-Step Solution & Explanation

First digit must be 5, 7, or 8 (3 choices). Remaining 3 positions can be filled by remaining 4 digits in $^4P_3 = 4 \times 3 \times 2 = 24$ ways. Total numbers = $3 \times 24 = 72$.
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