Question

Which of the following is/are false?

$i.{\left(1\right)}^{2016}>{\left(1\right)}^{2014}$

$ii.{\left(1\right)}^{2016}>{\left(0\right)}^{2016}$

$iii.{\left(1\right)}^{2016}>{(-1)}^{2016}$

$iv.{(-1)}^{2014}>{(-1)}^{2015}$

• A. i, iii, iv
• B. i, iii
• C. i, ii
• D. iii, iv

Answer 1

The correct option is B

i, iii

${\left(1\right)}^{\text{anynumber}}=1$

${(-1)}^{\text{odd number}}=-1$

${(-1)}^{\text{even number}}=+1$

${\left(0\right)}^{\text{any non zero number}}=0$

$\therefore \text{Only i and iii are false}$