Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Question:

Find HCF of 3\({3}^{333}\) + 1, 3\({3}^{334}\) + 1?

Options:

3998 + 1

3\({3}^{333 }\) + 1

3\({3}^{333 }\) - 1

3\({3}^{3}\) + 1

Correct Answer:

3\({3}^{333 }\) + 1

Explanation:

3\({3}^{333 }\) + 1, 3\({3}^{334}\) + 1

⇒ 3\({3}^{333 }\) 

Let:  3 ⇒ a , \({3}^{333 }\)- n  (assume keeping)

⇒ an + 1, an+1 + 1

HCF = an + 1

HCF =3\({3}^{333 }\) + 1