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Question 32Asked in BPSC TRE 2.0 (2023) Language & General Studies Class 1-5

If (a/b)^(x−1) = (b/a)^(x−3), then the value of x isयदि (a/b)^(x−1) = (b/a)^(x−3) तो x का मान है

यदि (a/b)^(x−1) = (b/a)^(x−3) तो x का मान है
  1. A11
  2. B22
  3. C7/27/2
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (B) 22

Explanation

The bases a/b and b/a are reciprocals, so (a/b)^(x-1) = (a/b)^-(x-3). Hence x - 1 = 3 - x, giving x = 2.a/b और b/a व्युत्क्रम हैं, इसलिए (a/b)^(x-1) = (a/b)^-(x-3)। अतः x - 1 = 3 - x, जिससे x = 2।

From BPSC TRE 2.0 (2023) Language & General Studies Class 1-5 — Previous Year Paper

This is question 32 of BPSC TRE 2.0 (2023) Language & General Studies Class 1-5 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.