Arrange the following ratios in decreasing order.
$2 : 3, 3 : 4, 5 : 6 a n d$ $1 : 5$

2 : 3 > 3 : 4 > 5 : 6 > 1 : 5

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3 : 4 > 5 : 6 > 2 : 3 > 1 : 5

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1 : 5 > 2 : 3 > 3 : 4 > 5 : 6

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5 : 6 > 3 : 4 > 2 : 3 > 1 : 5

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Solution

The correct option is C $5 : 6 > 3 : 4 > 2 : 3 > 1 : 5$
Given ratios are $\frac{2}{3}, \frac{3}{4}, \frac{5}{6}, \frac{1}{5}$

The L.C.M of $3, 4, 6, 5$ is $2 \times 2 \times 3 \times 5 = 60$

Now, $\frac{2}{3} = \frac{2 \times 20}{3 \times 20} = \frac{40}{60}$

$\frac{3}{4} = \frac{3 \times 15}{4 \times 15} = \frac{45}{60}$

$\frac{5}{6} = \frac{5 \times 10}{6 \times 10} = \frac{50}{60}$

$\frac{1}{5} = \frac{1 \times 12}{5 \times 12} = \frac{12}{60}$

Clearly, $50 / 60 > 45 / 60 > 40 / 60 > 12 / 60$

Therefore, $\frac{5}{6} > \frac{3}{4} > \frac{2}{3} > \frac{1}{5}$
So, $5 : 6 > 3 : 4 > 2 : 3 > 1 : 5$

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Question 4(d) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{6}{6} □ \frac{3}{3}$

Question 4(e) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{5}{6} □ \frac{5}{5}$

Question 4(e) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{5}{6} □ \frac{5}{5}$

Find the mode from the given data.

1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 , 3, 4, 1, 2, 3, 4, 1 ,2 , 3, 4, 5, 5, 1, 5, 5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1

Question 4(c) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{2}{3} □ \frac{2}{4}$

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