Question 8Asked in BPSC TRE 1.0 (2023) Mathematics Class 9-10 + 5 more papers

If 2²ⁿ⁻¹ = 1/8ⁿ⁻³, then the value of n isयदि 2²ⁿ⁻¹ = 1/8ⁿ⁻³, तो n का मान है

यदि 2²ⁿ⁻¹ = 1/8ⁿ⁻³, तो n का मान है
  1. A33
  2. B22
  3. C–2–2
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
Show answerHide answer

Correct answer: (B) 22

Explanation

2²ⁿ⁻¹ = 1/8ⁿ⁻³ = 2⁻³⁽ⁿ⁻³⁾, so 2n − 1 = −3n + 9, giving n = 2.2²ⁿ⁻¹ = 1/8ⁿ⁻³ = 2⁻³⁽ⁿ⁻³⁾, अतः 2n − 1 = −3n + 9, जिससे n = 2।

From BPSC TRE 1.0 (2023) Mathematics Class 9-10 — Previous Year Paper

This is question 8 of BPSC TRE 1.0 (2023) Mathematics Class 9-10 — 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.

Asked in 6 papers