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Definition of Functions

10386-86103 i...

Question

( $103)^{86} - (86)^{103}$ is divisible by

A

7

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B

13

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C

17

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D

23

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Solution

The correct option is C
17

Give Expression

$= (1 + 102)^{86} - (1 + 85)^{103} = (1 +^{86} C_{1} 102 +^{86} C_{2} (102)^{2} + \dots \dots;) - (1 +^{103} C_{1} 85 +^{103} C_{2} (85)^{2} + \dots \dots)$

= 17 $\times$ an integer

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Q. Mark the correct answer in each of the following:
The negation of the statement "72 is divisible by 2 and 3", is
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(b) 72 is not divisible by 2 and 72 is not divisible by 3.
(c) 72 is divisible by 2 and 72 is not divisible by 3.
(d) 72 is not divisible by 2 and 72 is divisible by 3.

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