Number System Practice Test 2

Question : 37 of 40

Marks: +1, -0

What is the remainder when 41 + 42 + 43 + … + 96 is divided by 17?

Solution:

(1 + 2 + … + 96) (1 + 2 + … + 40)

[{96×97}/2]-[{40×41}/2]

4,656-82 = 3,836

According to the question

{3,836}/17=225 11/17

So, the remainder is 11.

Go to Question:

Prev Question

Next Question