Q. 1
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
If $\frac{x}{z} = 8$, $\frac{x}{y} = 8$, and $\sqrt{x} = 4$, find the value of $z$.
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Step-by-Step Explanation & Concept Rationale
Given $\sqrt{x} = 4 \implies x = 4^2 = 16$. Substituting $x = 16$ into $\frac{x}{z} = 8$: \[\frac{16}{z} = 8 \implies 8z = 16 \implies z = 2\] Thus, the correct option is (B).
Q. 2
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
If $\frac{x}{2} = 0$, find the value of $1 + x + x^2 + 3x^3$.
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Step-by-Step Explanation & Concept Rationale
From $\frac{x}{2} = 0$, we get $x = 0$. Substituting $x = 0$ into the polynomial expression: \[1 + (0) + (0)^2 + 3(0)^3 = 1 + 0 + 0 + 0 = 1\] Thus, the correct option is (A).
Q. 3
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
If $\frac{x}{y} = 8$ and $x = 16$, what is the value of $y$?
💡
Step-by-Step Explanation & Concept Rationale
Substitute $x = 16$ into the given equation: \[\frac{16}{y} = 8 \implies 8y = 16 \implies y = \frac{16}{8} = 2\] Thus, the correct option is (B).
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