Concept of Ratio between 3 Quantities Using Line Segments

Q.

Mother is 25 years older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be $\frac{4}{9}$?

1. 12

2. 16

3. 15

4. 10 years

Q.

The Line segment AB has 2 points P and Q lying on it as shown in the figure.

The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

1. 24 cm

2. 12 cm

3. 15 cm

4. 20 cm

Q. The length and breadth of a rectangle are in ratio 7:5. If the rectangle is enlarged by increasing the length by 6 cm, then the new ratio is 2:1. Find the length and breadth of the original rectangle.

Q.

The sides of a triangle are in the ratio 3:2:4. If the perimeter of the triangle is 36 cm, then the length of its longest side is ___ cm.

1. 18 cm

2. 20 cm

3. 16 cm

4. 12 cm

Q.

The Line Segment PQ has two point X and Y lying on it as shown :

The length of PQ is 30 cm.

If the Ratio Between PX and YQ is 4 : 5 and between XY and YQ is 1 : 5, Then find the length of XY.

1. 5 cm

2. 4 cm

3. 3 cm

4. 2 cm

Q.

The Sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm more than the shortest side.

Find the length of the Shortest side.

1. 9 cm

2. 15 cm

3. 18 cm

4. 20 cm

Q.

The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side.

Find the length of the shortest side.

1. 9 cm

2. 15 cm

3. 18 cm

4. 20 cm

Q. 16 pens were divided among A, B and C in the ratio of 1 : 2 : 5. How many pens does B get?

1. 4

Q. If three numbers x, y, z are in the ratio 1 : 2 : 3, then $x:y=1:2$ and $y:z=2:3$.

1. True
2. False