UPSC CAPF (AC) 2024 Paper I · Question 51

Question 51 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 · Q51 · General Mental Ability · Arithmetic

   If x + 1/x = 2, then which one of the following is the value of x^32 + 1/x^32?

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

   यदि x + 1/x = 2 तो x^32 + 1/x^32 का मान निम्नलिखित में से कौन-सा है?

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

   Answer: (4) 2

   उत्तर: (4) 2

   x + 1/x = 2 means x² - 2x + 1 = 0, i.e. (x - 1)² = 0, so x = 1. Then x^32 + 1/x^32 = 1 + 1 = 2.

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