GATE 2017 CE (CE1) – Question 5

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

The numbers $1,x,x,x,y,y,9,16,18$ are in increasing order. Their mean and median are equal, and also equal to twice the mode. Find $y$.

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Correct answer: (D) 8

Explanation

The repeated value $x$ is the mode and the fifth entry $y$ is the median. Hence $y=2x$. The sum is $44+3x+2y$, and mean equals $y$, giving $44+3x=7y$. Substitute $y=2x$: $44=11x$, so $x=4$ and $y=8$. These values satisfy the stated ordering, giving D.

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