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SSC CHSL 01 July 2024 Shift 2 Paper

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Question : 52 of 100

Marks: +1, -0

If 2³ : 8^5.06:: 8^-4.06 : x, find the value of x.

1
1/2³
2³
0

Solution:

In a proportion

a:b::c:d

, we have

\frac{a}{b}=\frac{c}{d}

.

Here,

\frac{2^3}{8^{5.06}}=\frac{8^{-4.06}}{x}

.

Cross-multiplying gives

x\cdot 2^3=8^{5.06}\cdot 8^{-4.06}

.

Using

a^m\cdot a^n=a^{m+n}

, the right side equals

8^{5.06-4.06}=8^1=8

.

Since

2^3=8

, this becomes

x\cdot 8=8

.

Therefore,

x=1

.

The correct option is the one whose text is

1

.

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