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The sum of all two digit positive number...

The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is

A

1356

B

1365

C

1256

D

1465

Text Solution

Verified by Experts

The correct Answer is:
A
All these no. will be of the form
7k+2 or 7k+5
`(sum_(k=1)^(13)7k+2)-9`
`(7xx13xx14)/2+2xx13-9=654`
Sum of no. of the form 7k + 5
`(sum_(k=1)^(13)7k+5)=(7xx13xx14)/2+5xx13`
=702
Total sum = 1356
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