Multiplication of Rational Numbers

Q.

The age of a man is $\frac{2}{5}$th of the age of a tree in his housing complex. The tree is 90 years old. If the man's age multiplied by a number $x$ equals 180, find $x$.

1. 4

2. 5

3. 10

4. 8

Q.

Find the area of a rectangular plot which is $4\frac{2}{5}m$ long and $6\frac{3}{5}m$ broad.

1. $29\frac{1}{25}{m}^2$

2. $36\frac{1}{25}{m}^2$

3. $30\frac{1}{25}{m}^2$

4. $25\frac{1}{25}{m}^2$

Q.

If two rational numbers have opposite signs, then their product is always __________

1. 0

2. Negative

3. 1

4. Positive

Q.

The cost of 1 litre of milk is $₹30\frac{3}{4}$. Find the cost of $2\frac{1}{3}$ litre of milk.

1. $₹70\frac{3}{4}$

2. $₹17\frac{3}{4}$

3. $₹71\frac{3}{4}$

4. $₹27\frac{3}{4}$

Q.

If the cost of one metre of cloth is $₹5\frac{13}{15}$, then cost of $4\frac{7}{11}$ metre of cloth is _______________.

1. $₹27\frac{1}{5}$

2. $₹15\frac{3}{5}$

3. $₹12\frac{4}{5}$

4. $₹25\frac{1}{5}$

Q.

Calculate the area of a rectangular park whose length is $\frac{152}{5}m$ and breadth is $\frac{50}{3}m.$

1. $56\frac{2}{3}{m}^2$

2. $506\frac{2}{5}{m}^2$

3. $605\frac{2}{3}{m}^2$

4. $506\frac{2}{3}{m}^2$

Q.

A cyclist moves with a speed of $\frac{4}{5}$ km/hr. How much distance will he cover in $2\frac{1}{2}$ hrs?

1. 2.5 km

2. 3 km

3. 1.5 km

4. 2 km

Q.

Calculate : $(\frac{2}{3}+\frac{5}{8})\times (\frac{4}{6}+\frac{7}{16})$

1. $\frac{1653}{1152}$

2. $\frac{1643}{1152}$

3. $\frac{1743}{1152}$

4. $\frac{1463}{1152}$

Q.

Raju earns ₹ 34000 per month. He spends $\frac{1}{4}th$ of his income on food, $\frac{3}{10}th$ of the remainder on house rent and $\frac{5}{21}th$ of the remainder on education of children. How much money is still left with him?

1. 13100

2. 13200

3. 13300

4. 13600

Q.

Product of $\frac{7}{6}$ and reciprocal of $\frac{11}{66}$ is

1. 7/11

2. 7/6

3. 1/6

4. 7