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  9. Q122

APPSC Group-I 2023 · Question 122 of 233

How many pairs of positive integers m, n satisfy the following equation: 1/m + 4/n = 1/12, where n is an odd integer less than 60?

General Mental Ability

  1. A3Correct
  2. B6
  3. C4
  4. D7

Answer: A. 3

Explanation

m = 12n/(n-48); n odd in (48,60): n=49,51,57 give integer m (588, 204, 76). 3 pairs.

Source: APPSC Group-I Screening Test (Notification 28/2022, held 08-01-2023), Paper-II: General Aptitude, Q4 (adda247 "Decoding APPSC Group I 2023" compilation with official answer key)

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