UPSC CAPF (AC) 2025 Paper I · Question 70

Question 70 of the UPSC CAPF (AC) 2025 Paper I (3 August 2025). Try it first, then open the answer and explanation.

1. CAPF 2025 · P-I · Q70 · General Mental Ability · Numbers & Series

   The value at the tenth place of a three-digit number is twice the value at the unit's place. The value at the hundredth place is 75% of the value at the unit's place. How many such numbers are possible?

   1. 0
   2. 1
   3. 2
   4. 3

   एक तीन-अंकीय संख्या के दसवें स्थान (tenth place) का मान इकाई स्थान (unit's place) के मान का दो गुना है। सौवें स्थान (hundredth place) का मान इकाई स्थान के मान का 75% है। ऐसी कितनी संख्याएँ संभव हैं?

   1. 0
   2. 1
   3. 2
   4. 3
   Show answer

   Answer: (2) 1

   उत्तर: (2) 1

   If the units digit is u, the tens digit is 2u and the hundreds digit is 3u/4, so u must be a non-zero multiple of 4 with 2u ≤ 9. Only u = 4 works (u = 8 would make the tens digit 16), giving the single number 384.

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