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UPTET Paper 1 2017 Solved Paper

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Question : 96 of 150

Marks: +1, -0

If a/3 = b/4 = c/7, then the value of

\frac{a + b + c}{c}

is:

√2
7
2
1/√7

Solution:

Concept:

When multiple ratios are equal, set them equal to a single variable. This helps express each variable in terms of that common value.

Explanation:

Let

\frac{a}{3} = \frac{b}{4} = \frac{c}{7} = k

.

Then

a = 3k

,

b = 4k

, and

c = 7k

.

Now substitute into

\frac{a + b + c}{c}

:

\frac{3k + 4k + 7k}{7k} = \frac{14k}{7k} = 2

.

Thus, the required value is 2.

Answer:

2 (Option C).

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