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Question

Which of the following are false?

i. (1)2016>(1)2014

ii. (1)2016>(0)2016

iii. (1)2016>(−1)2016

iv. (−1)2014>(−1)2015


A
i, iii, and iv
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B
i and iii
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C
i and ii
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D
iii and iv
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Solution

The correct option is B i and iii

As we know,

(1)any number=1

(1)odd number=1

(1)even number=+1

(0)any nonzero number=0

Now,
i) (1)2016>(1)20141>1,
which is not possible, hence this statement is false.

ii) (1)2016>(0)20161>0,
this statement is true.

iii) (1)2016>(1)20161>1,
which is not possible, hence this statement is false.

iv) (1)2014>(1)20151>(1)
this statement is true.

Only i and iii are false.


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