Question

Match the following.

Column-I	Column-II
(i) For any two integers a and b, a$\times b$ is also an integer. Thus, integers are	(a) Distributive under addition and multiplication
(ii) $a\times b=b\times a$; denotes that integers are	(b) Positive quotient
(iii) $a\times (b+c)=a\times b+a\times c;$ this denotes that integers are	(c) Closed under multiplication
(iv) The division of a negative integer by another negative integer results in	(d) Commutative under multipication

• A. (i)$\to$ (b), (ii)$\to$(c), (iii)$\to$ (d), (iv)$\to$ (a)
• B. (i)$\to$ (c), (ii)$\to$ (d), (iii)$\to$ (a), (iv) $\to$(b)
• C. (i)$\to$(d), (ii)$\to$(c), (iii)$\to$ (a), (iv)$\to$ (b)
• D. (i)$\to$(c), (ii)$\to$(d), (iii)$\to$(b), (iv)$\to$(a)

Answer 1

The correct option is B (i)$\to$ (c), (ii)$\to$ (d), (iii)$\to$ (a), (iv) $\to$(b)

For any two integers a and b, $a\times b$ is also an integer. Thus, integers are - Closed under multiplication.

$\Rightarrow$ $a\times b=b\times a;$ denotes that integers are - Commutative under multiplication.

$\Rightarrow$ $a\times (b+c)=a\times b+a\times c;$ this denotes that integers are - Distributive under addition and multiplication.

$\Rightarrow$ The division of a negative integer by another negative integer results in - Positive quotient.

$\therefore$ Correct answer is option $B$.