SATHEE: Principle Of Mathematical Induction Question 56

Principle Of Mathematical Induction Question 56

Question: The number $ (49^{2}-4)(49^{3}-49) $ is divisible by__

Options:

A) 6!

B) 5!

C) 7!

D) 9!

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Given expression = $ (49^{2}-2^{2})\times 49(49^{2}-1) $ $ =51\times 47\times 49\times 50\times 48 $ $ =51\times 50\times 49\times 48\times 47 $ Is the product of five consecutive integers. Hence it is divisible by 5!

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Principle Of Mathematical Induction Question 56

Question: The number $ (49^{2}-4)(49^{3}-49) $ is divisible by__

Options:

Answer:

Solution:

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