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IBPS Clerk Prelims Model Paper 3

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Question : 2 of 100

Marks: +1, -0

If

\frac{a}{b}

\frac{4}{3}

\frac{3a+2b}{3a-2b}

= ?

6
3
5
- 1
None of these

Solution:

Concept:

Use the given ratio to express

a

and

b

in terms of a common variable.

Explanation:

Given

\frac{a}{b}=\frac{4}{3}

, let

a=4k

and

b=3k

.

Substitute these values into

\frac{3a+2b}{3a-2b}

.

Numerator:

3a+2b=3(4k)+2(3k)=12k+6k=18k

.

Denominator:

3a-2b=3(4k)-2(3k)=12k-6k=6k

.

Therefore,

\frac{3a+2b}{3a-2b}=\frac{18k}{6k}=3

.

Answer:

3

, which matches option B.

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