ABC26GN0894 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

If $45-\left[28-\left\{37-\left(15-{ }^{*}\right)\right\}\right]=58$, then * is equal to:
(a)-29
(b)- 19
(c)19
(d)29
Answer
Answer (as printed): C
Explanation
Let $45-[28-\{37-(15-x)\}]=58$. Then, $45-[28-\{37-15+x\}]=58$ $$\begin{aligned} & \Leftrightarrow 45-[28-\{22+x\}]=58 \\ & \Leftrightarrow 45-[28-22-x]=58 \Leftrightarrow 45-[6-x]=58 \\ & \Leftrightarrow 45-6+x=58 \\ & \Leftrightarrow 39+x=58 \Leftrightarrow x=58-39=19 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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