Quantcast
Channel: GMAT Club Forum - Forums > Problem Solving (PS)
Viewing all articles
Browse latest Browse all 462833

Problem Solving (PS) | Find the last digit of the number 1^2 + 2^2 + ... + 99^2 ?

$
0
0
Bunuel wrote:

Find the last digit of the number\( 1^2+2^2+ ...+99^2\) ?

A. 1
B. 2
C. 3
D. 4
E.0


Breaking Down theInfo:

Include\(0^2\) in the sum as well (which will not change the last digit), then we can bracket the numbers in groups of 10 numbers each, each with the last digit same as the one for\( 0^2 + 1^2 + 2^2 + ... +9^2\) . There are 10 such brackets like this.

If the last digit of this sum is X, then 10 sums of these would have the last digit same as 10X, which ends in an 0 so the last digit must be 0 for
...

Viewing all articles
Browse latest Browse all 462833

Latest Images

Trending Articles



Latest Images