Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

Simplify the following

$\frac{(3+7)×2-4}{(3+7)×(2-4)}+\frac{3+7×2-5}{3+7×(2-5)}$

Options:

2

$-\frac{2}{5}$

$-\frac{22}{15}$

$-\frac{7}{5}$

Correct Answer:

$-\frac{22}{15}$

Explanation:

$\frac{(3+7)×2-4}{(3+7)×(2-4)}+\frac{3+7×2-5}{3+7×(2-5)}$

(10*2-4)/(10*-2) + (3+14-5)/(3+7*-3)

16/-20 + 12/-18

-4/5 - 2/3

(-12-10)/15

The correct answer is Option (3) → $-\frac{22}{15}$