Question 32

Read the following statements carefully and choose the correct option.

Statement I - Number of the form $$3N + 2$$ will leave remainder 2 when divided by 3.

Statement II - If N upon dividing by 5 leaves remainder 3 and N upon dividing by 2 leaves remainder 0, then N upon dividing by 10 leaves remainder 4.

$$3N$$ is a multiple of 3, so $$3N + 2$$ leaves remainder 2, and Statement I is true. If N leaves remainder 3 on division by 5, its last digit is 3 or 8, and being even it must end in 8. So N leaves remainder 8, not 4, on division by 10, and Statement II is false.

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