The value of M in (p/q)²M+2}=(q/p)^{9-M}

Correct Answer is : −11-11−11

Correct Answer is : −11-11−11

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RRB ALP CBT I 25 Nov 2024 Shift 2 Paper

Question : 5 of 75

Marks: +1, -0

(\frac{p}{q})^{2M+2}=(\frac{q}{p})^{9-M}

Solution:

Concept:

Using the reciprocal base rule:

(\frac{q}{p})^k = (\frac{p}{q})^{-k}

Explanation:

Given equation:

(\frac{p}{q})^{2M+2} = (\frac{q}{p})^{9-M}

Rewrite the right-hand side using the reciprocal rule:

(\frac{q}{p})^{9-M} = (\frac{p}{q})^{-(9-M)}

Now the equation becomes:

(\frac{p}{q})^{2M+2} = (\frac{p}{q})^{-(9-M)}

Since the bases are equal, equate the exponents:

2M+2 = -(9-M)

2M+2 = -9+M

2M-M = -9-2

M = -11

Answer:

M = -11

, hence Option B is correct.

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