ABC26GN1180 · Simplification

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

If $x \oplus y=x^{2}+2 y$, what is the value of $p$ if $4 \oplus$ (3 $\oplus p)=50$ ?
(a)4
(b)7
(c)8
(d)12.5
Answer
Answer (as printed): A
Explanation
$$\begin{aligned} & 4 \oplus(3 \oplus p)=4 \oplus\left(3^{2}+2 p\right)=4 \oplus(9+2 p)=4^{2}+2 \\ & (9+2 p)=34+4 p . \\ & \therefore \quad 34+4 p=50 \Rightarrow 4 p=50-34=16 \Rightarrow p=4 . \end{aligned}$$

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

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