ABC26GN0206 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

If $p$ and $q$ represent digits, what is the maximum possible value of $q$ in the statement (S.S.C., 2010) $5 p 9+327+2 q 8=1114 ?$

(a)6

(b)7

(c)8

(d)9

Answer

Answer (as printed): B

Explanation

$5 p 9+327+2 q 8=1114 \Rightarrow(500+10 p+9)+(327)+(200$ $+10 q+8)=1114$ $$\begin{aligned} & \Rightarrow 10(p+q)+1044=1114 \\ & \Rightarrow 10(p+q)=70 \Rightarrow(p+q)=7 \end{aligned}$$ [As minimum value of $p=0$ ]

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

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