Exams › IBPS PO › Quantitative Aptitude

If (x^a)^c = x^c and \frac{x^{2b}}{x^a} = (x^{5a}) \times (x^d) \times (x^b), then compare Quantity I and Quantity II. Quantity I = b Quantity II = d

1. Quantity I > Quantity II
2. Quantity I < Quantity II
3. Quantity I \ge Quantity II
4. Quantity I = Quantity II

Correct answer: Quantity I = Quantity II

Solution

Using exponent rules, the first equation gives a relation between a and c, and the second equation gives another relation among a, b, and d. Solving these relations shows that b and d are equal, so the two quantities are the same.

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