Question 150
The average of four consecutive even numbers P, Q, R and S respectively (in increasing order) is 51. What is the product of P and R ?
Solution
Let 4 consecutive numbers be 2n-3,2n-1,2n+1 and 2n+3.
Average of these 4 numbers = $$\frac{2n-3+2n-1+2n+1+2n+3}{4}$$.
$$51=2n$$.
Hence numbers are 48,50,52 and 54.
P=48,R=52.
$$P\times{R}=48\times52$$.
$$=2496$$.
Hence, Option B is correct.
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