Assertion (A): (a b) c a (b c) for all integers a, b and c. Reaso… - Vidyadip

MCQ

Assertion (A): $(a \div b) \div c \neq a \div(b \div c)$ for all integers $a, b$ and $c$.
Reason (R): Division on integers is not associative.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
✓
Assertion (A) is false but Reason (R) is true.

✓

Answer

Correct option: D.

Assertion (A) is false but Reason (R) is true.

(d): If $c=1$ then we have,
$(a \div b) \div c=(a \div b) \div 1=(a \div b) \text { and } a \div(b \div c)=a \div(b \div 1)=(a \div b)$
$\therefore$ in that case, $(a \div b) \div c=a+(b \div c)$.
Hence, A is false. R is true since division on integers is not assoclative.

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