CAT
Exam
Numerical Ability
Profit and Loss
find the remainder: 1^2+2^2+3^2+................+100^2/4
Read Solution (Total 4)
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- we know the formula for summation of square of n numbers = [ n * (n+1) * (2n+1)] / 6
here, n= 100
so, sum= [ 100 * 101 * 201 ] / 6
= 338350
so, last two digit is 50 hence by dividing (50 / 4)
we get remainder 2.
answer is 2. - 7 years agoHelpfull: Yes(1) No(0)
- use formula for sum of square of first 'n' natural numbers.
Answer is:
84587.5 - 7 years agoHelpfull: Yes(0) No(0)
- The Answer is 84587.5 if the Question is (1^2+2^2+3^2+....+100^2)/4
The Answer is 330850 if the question is 1^2+2^2+3^2+....+(100^2)/4
- 7 years agoHelpfull: Yes(0) No(0)
- Remainder is 2.
- 7 years agoHelpfull: Yes(0) No(0)
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