CAT 2024 Number System Question (Medium)

Question

When is divided by 7 , the remainder is

Accepted Answer

Step 1 Find the Remainder Pattern of Powers of 10 mod 7 Compute powers of 10 modulo 7 Cycle formed 3, 2, 6, 4, 5, 1 length 6 --- Step 2 Find Position of Compute 100 div 6 16 4 So, will be the 4th term in the cycle. Cycle 3, 2, 6, 4, 5, 1 Thus, . --- Final Answer Remainder 4

CAT 2024

Quantitative

Number System

Medium

When $10^{100}$ is divided by 7 , the remainder is

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