CAT 2024 Number System Question (Medium)

Question

If is divided by 13 , the remainder is

Accepted Answer

Step 1 Find the Cycle of Compute Cycle 10, 9, 12, 3, 4, 1 Cycle length 6 --- Step 2 Find Position of in the Cycle Compute 68 div 6 11 2 Thus, corresponds to the 2nd term in the cycle. Cycle 10, 9, 12, 3, 4, 1 --- Final Answer

CAT 2024

Quantitative

Number System

Medium

If $10^{68}$ is divided by 13 , the remainder is

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