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what is the sum of all two digit numbers that give
Question:
What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7?
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When dealing with divisibility problems, express the numbers in the form of an arithmetic sequence.
CAT - 2003
CAT
Updated On:
Aug 1, 2025
666
676
683
777
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The Correct Option is
A
Solution and Explanation
The two-digit numbers that give a remainder of 3 when divided by 7 are of the form $7k + 3$, where $k$ is an integer. We find the two-digit numbers in this form and sum them up. The result is 666.
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