Exams › IBPS PO › Quantitative Aptitude

In each question, two equations numbered (I) and (II) are given. Solve both equations and mark the appropriate answer. I. x = 19^2 - 14^2 - 5^3 II. (y + 14)(y - 14) = 60

1. If x = y or no relation can be established
2. If x > y
3. If x < y
4. If x ≥ y

Correct answer: If x > y

Solution

From (I), x = 19^2 - 14^2 - 5^3 = 361 - 196 - 125 = 40. From (II), y^2 - 196 = 60, so y^2 = 256 and y = ±16. In either case, x = 40 is greater than y only if y = 16; however, since the standard comparison in such questions uses the positive root when not otherwise specified, the intended relation is x > y.

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