Allied & ICAR Exam Bank • ALLIED_1393 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In how many distinct ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

Options:

  • (A) 720
  • (B) 5040
  • (C) 1440
  • (D) 360

Answer Key:

A

Step-by-Step Solution & Explanation

Vowels are O, I, A (3 vowels). Consonants are P, T, C, L (4 consonants). Treating 3 vowels as one block: $(4 + 1)! = 5! = 120$. Internal permutations of vowels = $3! = 6$. Total ways = $120 \times 6 = 720$.
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