UPSC CAPF AC 2026 Paper 1 · Question 62

Question 62 of the UPSC CAPF (AC) 2026 Paper I (19 July 2026). Try it first, then open the answer and explanation.

1. CAPF 2026 · P-I · Q62 · General Mental Ability · Numbers & Series

   A person X has to make a payment of ₹56. He has twenty-five ₹2 coins and nine ₹5 coins. In how many different ways can he make this payment?

   1. 3
   2. 4
   3. 5
   4. 6

   किसी व्यक्ति X को ₹56 का भुगतान करना है। उसके पास ₹2 के पच्चीस सिक्के हैं और ₹5 के नौ सिक्के हैं। वह इस भुगतान को कितने भिन्न प्रकार से कर सकता है?

   1. 3
   2. 4
   3. 5
   4. 6
   Show answer

   Answer: (2) 4

   उत्तर: (2) 4

   We need 2a + 5b = 56 with a ≤ 25 and b ≤ 9, so b must be even. b = 2, 4, 6, 8 give a = 23, 18, 13, 8, while b = 0 would need 28 two-rupee coins (only 25 available), so there are 4 ways.

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