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UPSC Prelims 2025 CSAT, question 36

Topic: Series and patterns

Q36

What is XX in the sequence

24,X,12,18,36,9024,X,12,18,36,90 ?

  1. (a) 18
  2. (b) 12Correct answer
  3. (c) 9
  4. (d) 6

Solution.

Answer: (b) 12

  1. Look at the ratios of consecutive terms from the third term onward: 1812=1.5\frac{18}{12} = 1.5, 3618=2.0\frac{36}{18} = 2.0, and 9036=2.5\frac{90}{36} = 2.5.
  2. The multipliers increase by 0.50.5 at each step (×0.5,×1.0,×1.5,×2.0,×2.5\times 0.5, \times 1.0, \times 1.5, \times 2.0, \times 2.5), so X=24×0.5=12X = 24 \times 0.5 = 12 (and 12×1.0=1212 \times 1.0 = 12).