Concept of Ratio between 2 Quantities Using Line Segments

Q.

In a regular polygon, the ratio of the inner and outer angle is 11 : 7. What is the measure of the interior angle?

1. ${110}^{\circ }$

2. ${70}^{\circ }$

3. ${100}^{\circ }$

4. ${120}^{\circ }$

Q. Question 140
The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.

Q.

A line segment 49 m long divided into 2 parts in the ratio 3:4. Find the length of each part

1. 21 m , 28 m

2. None of these

3. 20 m , 29 m

4. 18 m , 30 m

Q. A sum of Rs 530 is divided between P, Q and R, such that P gets $\frac{1}{2}$ that of Q and Q gets twice that of R. What is the ratio of Q to that of the sum of P and Q?

1. 2:3
2. 2:5
3. 4:3
4. 3:2

Q. The ages of Priya and Prasad are in the ratio 5 : 7. Four years later, their ages will be in the ratio 3 : 4. Find Priyanka’s present age.

1. 28

Q. The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.

Q.

A pole is divided in the ratio 7 : 8. If the longer part measures 176 cm, then the measure of the shorter part is _____ cm.

1. 154

2. 168

3. 140

4. 147

Q. The ages of Priya and Prasad are in the ratio 5 : 7. Four years later, their ages will be in the ratio 3 : 4. Find Priyanka’s present age.

1. 28

Q.

The Line Segment AB with a Point P on it is given in the figure as :

If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.

1. 10 cm

2. 7 cm

3. 6 cm

4. 8 cm

Q.

The Line Segment AB with a Point P on it is given in the figure as :

If AP : PB = 4 : 7 and Length of AP = 20 cm, Find the Length of the Line Segment AB.

1. 45 cm

2. 50 cm

3. 55 cm

4. 66 cm

Q.

In a regular polygon, the ratio of the inner and outer angle is 14 : 4. How many sides does this polygon have ?

1. 10

2. 3

3. 7

4. 9

Q. a : b = 1 : 2 and b : c = 3 : 4. If a = 1, then c = 4.

1. True
2. False

Q. The ratio of inner to outer angle at one corner of a regular polygon is 11 : 7. Find the interior angle.

1. 110

Q.

The sides of a rectangle drawn on paper are in the ratio 5 : 6. When the rectangle is constructed in reality, it is 30 times the one drawn on paper.

If the length of the real rectangle is 720 cm, then find the perimeter of the rectangle which is on paper in cm.

1. 88

Q. The outer angles of the triangle are in the ratio 4 : 5 : 6. Find the measure of the smallest angle.

1. 96