Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 3)

Numbers

It is being given that (2³² + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

(2¹⁶ + 1)

(2¹⁶ - 1)

(7 x 2²³)

(2⁹⁶ + 1)

Answer: Option

Explanation:

Let 2³² = x. Then, (2³² + 1) = (x + 1).

Let (x + 1) be completely divisible by the natural number N. Then,

(2⁹⁶ + 1) = [(2³²)³ + 1] = (x³ + 1) = (x + 1)(x² - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.

Discussion:

137 comments Page 10 of 14.

Saad said: 6 years ago

I can't understand. Please, anyone, explain it briefly.

Shyam Ingalagi said: 2 months ago

What is the exponentiation rule? Please explain to me.

Siprarani tripathy said: 9 years ago

Dear sir, I can't understand. Kindly explain clearly.

Sajal said: 9 years ago

I didn't understand the last step. Please explain it.

Aryan Verma said: 1 decade ago

@Nagaraj Your Way of making understand is good dear.

Vaithi said: 10 years ago

I am not clear about the answer. Please help me.

Saruu said: 9 years ago

Can anyone give a simple method to explain this?

Jitendra said: 1 decade ago

Please help in another example similar to this.

Sajid said: 9 years ago

I don't understand. Please, someone explain me.

Karthi said: 1 decade ago

Give some explanations to understand clearly.

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