UPSC CAPF AC 2024 Paper 1 · Question 49

Question 49 of the UPSC CAPF (AC) 2024 Paper I (4 August 2024). Try it first, then open the answer and explanation.

1. CAPF 2024 · P-I · Q49 · General Mental Ability · Arithmetic

   Which of the following statements is/are correct? 1. The average of four numbers 10, 15, 20 and 25 is 17.5 2. If a, b and c are three different natural numbers such that a + b + c = abc, then the average of a, b and c is 3 Select the answer using the code given below :

   1. 1 only
   2. 2 only
   3. Both 1 and 2
   4. Neither 1 nor 2

   निम्नलिखित में से कौन-सा/कौन-से कथन सही है/हैं? 1. चार संख्याओं 10, 15, 20 और 25 का औसत 17.5 है 2. यदि a, b और c तीन भिन्न धन पूर्णसंख्या इस प्रकार हैं कि a + b + c = abc, तब a, b और c का औसत 3 है नीचे दिए गए कूट का प्रयोग कर उत्तर चुनिए :

   1. केवल 1
   2. केवल 2
   3. 1 और 2 दोनों
   4. न तो 1, न ही 2
   Show answer

   Answer: (1) 1 only

   उत्तर: (1) केवल 1

   Statement 1: (10 + 15 + 20 + 25)/4 = 70/4 = 17.5, correct. Statement 2: the only three different natural numbers with a + b + c = abc are 1, 2, 3 (1 + 2 + 3 = 6 = 1 × 2 × 3), whose average is 2, not 3, so it is wrong.

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