If a and b be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when a^2 + b^2 is divided by 6 i - Mathematics MCQ UPTET 2021 Memory Based Paper 1 2026 | ExamTest.live

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If a and b be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when a^{2} + b^{2} is divided by 6 is:

A $8$
B $5$
C $3$
D $2$

Solution & Step-by-step Explanation

Using modular arithmetic rules: a \equiv 4 (mod 6) b \equiv 5 (mod 6) Now find the squares: a^{2} \equiv 4^{2} \equiv 16 \equiv 4 (mod 6) b^{2} \equiv 5^{2} \equiv 25 \equiv 1 (mod 6) Adding them up: a^{2} + b^{2} \equiv 4 + 1 = 5 (mod 6) Therefore, the remainder when a^{2} + b^{2} is divided by 6 is 5.

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If a and b be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when a^{2} + b^{2} is divided by 6 is:

8

5

3

2

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Remainder Theorem Modular Arithmetic

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If a and b be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when a^2 + b^2 is divided by 6 i - Mathematics MCQ UPTET 2021 Memory Based Paper 1 2026 | ExamTest.live | ExamTest.live

If $a$ and $b$ be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when $a^{2} + b^{2}$ is divided by 6 is:

Solution & Step-by-step Explanation

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If a and b be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when a2+b2 is divided by 6 is:

Solution & Step-by-step Explanation

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Discussion

If $a$ and $b$ be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when $a^{2} + b^{2}$ is divided by 6 is: