Question 4 the day : June 25, 2003

The question for the day is from the topic of Number Systems.

Question
The sum of the first 100 numbers, 1 to 100 is divisible by

(1) 2, 4 and 8
(2) 2 and 4
(3) 2 only
(4) None of these

Correct Choice is (3) and Correct Answer is 2 only

Explanatory Answer

The sum of the first 100 natural numbers is given by (n(n + 1))/2 = (100(101))/2 = 50(101).

101 is an odd number and 50 is divisible by 2. Hence, 50*101 will be divisible by 2.

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