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Question

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

(iii) The absolute value of an integer is always greater than the integer.

(iv) Every negative integer is less than any natural number.


A

i, iii, iv

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B

i, iv

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C

ii, iv

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D

Only iv

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Solution

The correct option is D

Only iv


(i) All the negative integers are less than 0.

(ii) Multiplicative identity for integers is same as that of whole numbers i.e., 1.

(iii) Absolute value of a non-negative integer is equal to the integer itself and the absolute value of a negative integer is always greater than the integer.

E.g. absolute value of 6 is 6; absolute value of - 6 is 6.

(iv) Every negative integer is less than any natural number.


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