Question

Q. Sum of all four-digit integers that gives the reminder 4 when divided by 7 is

• A. 80,66,315
• B. 70,88,395
• C. 70,66,215
• D. 60,76,435

Answer 1

The correct option is C 70,66,215

First four-digit number satisfying the condition is 1005 = a
Largest four-digit number satisfying the condition is 9993 = $a_n$
$n=\frac{9993-1005}{7}+1=1285S_n=\frac{1285}{2}(9993+1005)=1285\times 5499=7066215$