If a2 - \(\frac{16}{a}\) = 12, then

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a² - \(\frac{16}{a}\) = 12, then

find a (a + 1) (a + 2) (a + 3) (a + 4).

Options:

320

800

840

860

Correct Answer:

840

Explanation:

a² - \(\frac{16}{a}\) = 12

Here, put a = 4, it will satisfy the above eq.

So,

a (a + 1) (a + 2) (a + 3) = 4 (4 + 1) (4 + 2) (4 + 3)

= 4 × 5 × 6 × 7

= 840