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Question

# Match the following.Column-IColumn-II(i) For any two integers a and b, a×b is also an integer. Thus, integers are(a) Distributive under addition and multiplication(ii) a×b=b×a; denotes that integers are(b) Positive quotient(iii) a×(b+c)=a×b+a×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) (b), (ii)(c), (iii) (d), (iv) (a)
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B
(i) (c), (ii) (d), (iii) (a), (iv) (b)
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C
(i)(d), (ii)(c), (iii) (a), (iv) (b)
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D
(i)(c), (ii)(d), (iii)(b), (iv)(a)
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Solution

## The correct option is B (i)→ (c), (ii)→ (d), (iii)→ (a), (iv) →(b)For any two integers a and b, a×b is also an integer. Thus, integers are - Closed under multiplication.⇒ a×b=b×a; denotes that integers are - Commutative under multiplication.⇒ a×(b+c)=a×b+a×c; this denotes that integers are - Distributive under addition and multiplication.⇒ The division of a negative integer by another negative integer results in - Positive quotient.∴ Correct answer is option B.

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