Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If \(\frac{a}{2}\) = \(\frac{b}{3}\) = \(\frac{c}{4}\)

then find (\(\frac{a + b + c}{b}\))-1.

Options:

3

6

\(\frac{1}{3}\)

\(\frac{1}{6}\)

Correct Answer:

\(\frac{1}{3}\)

Explanation:

Given, \(\frac{a}{2}\) = \(\frac{b}{3}\) = \(\frac{c}{4}\)

Here we can directly conclude that 

a = 2, b = 3, c = 4, hence

⇒ (\(\frac{a + b + c}{b}\))-1 = (\(\frac{2 + 3 + 4}{3}\))-1 = \(\frac{3}{9}\) = \(\frac{1}{3}\)