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Assertion: If 7 friends divide $76895$ coloured beads amongst themselves then each will get $10985$ coloured beads.Reason: If $16$ families went on a trip and paid Rs.$216352$ in total, then each family will pay Rs.$13522$.A) Both assertion and reason are correct and reason is the correct explanation for assertion.B) Both assertion and reason are correct but reason is not the correct explanation for assertion.C) Assertion is correct but the reason is incorrect.D) Both assertion and reason are incorrect.

Last updated date: 13th Jun 2024
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Hint: To solve assertion – reasoning problem, we will find whether the statement of assertion and reason are true or not. If one of them is incorrect we will choose the option accordingly. If both statements are true then we will check if the reason is correct for the given assertion.
Here we need basic divison rules to solve the question.

It is given that, Assertion: 7 friends divide $76895$ coloured beads amongst themselves then each will get $10985$ coloured beads.
First, we will try to find out whether the statement is true or not.
7 friends divide $76895$ coloured beads amongst themselves.
Then each friend will get $76895 \div 7$ beads.
Dividing we get,
Each friend will get $10985$ beads.
Therefore, each friend will get $10985$ beads. Hence, the assertion is true.

and Reason: If $16$ families went on a trip and paid Rs.$216352$ in total, then each family will pay Rs.$13522$.
Now, we will try to find out whether the statement is true or not.
$16$ families went on a trip and paid Rs.$216352$ in total.
Then, each family will pay Rs.$216352 \div 16$.
Dividing we get,
Each family will pay Rs.$13522$
Therefore, each family will pay Rs.$13522$. Hence, the reason is true.

We can see that, Both the assertion and reason are correct but statements do not have any connection. So, the reason is not the correct explanation for the assertion.
The correct option is (B) is correct.

Note: In Assertion-Reasoning problem one needs to choose the options wisely. For assertion reasoning problems first we must see if both the statements are correct or wrong. If both statements are correct then we must check if there is any relation in between those two statements.