Question

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Answer 1

Given : three statements :  | (12345678 x  12345680) > (12345679)²    II 31¹¹ > 16¹⁴  . III   3³³ > 31¹¹

To Find : Choose correct option

Solution:

(12345678 x  12345680) > (12345679)²

Let say 12345679 = x

=> (x - 1)(x + 1) > x²

=> x² - 1 > x²

Which is not true

Hence

(12345678 x  12345680) > (12345679)²  FALSE

31¹¹ > 16¹⁴

RHS = 16¹⁴

= (2⁴)¹⁴

= 2⁵⁶

= 2 * 2⁵⁵

= 2 (2⁵)¹¹

= 2 (32)¹¹

2 (32)¹¹  > 31¹¹

Hence

31¹¹ > 16¹⁴  - FALSE

3³³ > 31¹¹

3³³

= (3³)¹¹

= 27¹¹

27¹¹ <  31¹¹

=> 3³³ > 31¹¹   FALSE

Hence all the statements I , II  & III  are FALSE

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Answer 2

Answer:

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