If 7^126 is divided by 48, find the remainder. Option 1: 1 Option 2: 2 Option 3: 3 Option 4: 4

Answer: 1. Solution: Note that 7^2 = 49 = 48 + 1, so 7^2 1 ±od48. Since 126 is even, 7^126 = (7^2)^63 1^63 = 1 ±od48. The remainder is 1.

Quantitative Reasoning

Number System

Medium

If $7^{126}$ is divided by 48, find the remainder.

✅ Correct Option: 1

Note that $7^2 = 49 = 48 + 1$ , so $7^2 \equiv 1 \pmod{48}$ . Since $126$ is even, $7^{126} = (7^2)^{63} \equiv 1^{63} = 1 \pmod{48}$ . The remainder is 1.

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LIST-I (Number)	LIST-II (Unit digit of the number)
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Choose the correct answer from the options given below:

If 71267^{126}7126 is divided by 48, find the remainder.

Solution

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CUET General Test Past Year Questions (Topic-Wise)

If $7^{126}$ is divided by 48, find the remainder.