PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 5

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 5 : In how many ways can the 26 letters of the English alphabet be arranged such that no two vowels are next to each other in the arrangement?

  1. \( 26 ! - 5 \times 25 ! \)
  2. \( { } ^ { 22 } C _ { 5 } \times 21 ! \times 5 ! \)
  3. \( { } ^ { 21 } P _ { 5 } \times 21 ! \)
  4. \( 26 ! - 5 \times 21 ! \)

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Explanatory Answer

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The question is " In how many ways can the 26 letters of the English alphabet be arranged such that no two vowels are next to each other in the arrangement? "

Hence, the answer is '\( { } ^ { 22 } C _ { 5 } \times 21 ! \times 5 ! \)'

Choice B is the correct answer.

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