# Quantitative Aptitude – Number Systems – If the product of three consecutive

## Question

If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

A) 1777
B) 1785
C) 1875
D) 1877

Option (D)

## Solution

From CAT 2017 – Quantitative Aptitude – Number Systems, we can see that,
a (a+1) (a+2) = 15600
The consecutive numbers will be 24, 25 and 26
We have to find,
a^2 + (a+1)^2 + (a+2)^2 = (24)^2 + (25)^2 + (26)^2 = 1877

## CAT 2017 Questions from Quantitative Aptitude – Number Systems

Quantitative Aptitude – Number Systems – Q1: If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?
Quantitative Aptitude – Number Systems – Q2: The numbers 1, 2,…,9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.
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