Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Which of the following statement is correct?

I. The value of $100^{2} - 99^{2} + 98^{2} - 97^{2} + 96^{2} - 95^{2} + 94^{2} - 93^{2} + ..... + 22^{2} - 21^{2}$ is 4840.

II. The value of

$\left(k^{2} + \frac{1}{k^{2}}\right)\left(k - \frac{1}{k}\right)\left(k^{4} + \frac{1}{k^{4}}\right)\left(k+ \frac{1}{k}\right)\left(k^{4} - \frac{1}{k^{4}}\right)$ is $k^{16} - \frac{1}{k^{16}}$

Options:

Neither I nor II

Only II

Only I

 Both I and II

Correct Answer:

Only I