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Q.

In the given number line, point M represents a fractional number. Find the number.

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a

\frac{6}{7}

b

\frac{7}{6}

c

\frac{8}{7}

d

\frac{7}{8}

answer is B.

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Detailed Solution

We have 3 given numbers 0, 1, 2 on the scale.
So, a total 12 small spaces are added up to create the distance of 1 unit. Using a unitary system, we can tell that 1 small space is going to be the distance of

\frac{1}{12}

unit.
Now we need to find the fractional number of the point M.
This point is on the 2 steps to the right side of the mark 1.
Between the mark 1 and point M, there are 2 spaces which have a total distance of

2 \times \frac{1}{12} = \frac{1}{6} unit

.
So, the mark of M is the value of

1 + \frac{1}{6} = \frac{7}{6} unit .

The mark M represents the fractional number

\frac{7}{6}

.

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