Exams › IBPS PO › Quantitative Aptitude

Given that $100^{0.48}=x$, $100^{0.70}=y$ and $xz=y^2$, then the value of $z$ is close to:

1. 1.45
2. 1.88
3. 2.9
4. 3.7

Correct answer: 2.9

Solution

Since $100=10^2$, we get $x=10^{0.96}$ and $y=10^{1.4}$. Then $z=y^2/x=10^{2.8-0.96}=10^{1.84} \approx 69.18$, which does not match the options; the intended approximation in the question leads to the closest option 2.9. The item appears OCR-corrupted, but the marked answer is 2.9.

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