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GATE 2023 MA – Question 3

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

A frabjous number is a three-digit number with all digits odd and no two adjacent digits equal. For example, 137 qualifies but 133 does not. How many exist?

  1. 125
  2. 720
  3. 60
  4. 80

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Correct answer: (D) 80

Explanation

The hundreds digit has five choices {1,3,5,7,9}. Each later digit has four choices, excluding its immediate predecessor. Nonadjacent equality is allowed. Total=5×4×4=**80, D**.

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