Dividing a Quantity in a Given Ratio

Q.

The H.C.F. and L.C.M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is :

1. 48

2. 84

3. 12

4. 108

5. 256

Q.

What is the ratio of 1 mm to 1 cm?

Q.

In a regular polygon if the ratio of the interior and exterior angles is 3:2 then the interior angle of the polygon is ___

1. 70${}^{\circ }$

2. 100${}^{\circ }$

3. 36${}^{\circ }$

4. 108${}^{\circ }$

Q.

One brick of Ice cream is divided among 3 children in the ratio 2 : 5 : 3. If the quantity of ice cream that the first child gets is 400 grams, what is the weight of the full brick?

1. 500 gm

2. 1000 gm

3. 2000 gm

4. 4000 gm

Q.

There are $b$ boys and $g$ girls in a class. The ratio of the number of boys to the total number of students in the class is

Q.

The ratio of the distance between bases on a professional baseball field to the distance between bases on a youth baseball field is $3:2$. Bases on a professional baseball field are $90$ feet apart. What is the distance between bases on a youth baseball field?

Q.

In a regular polygon, if the ratio of the interior and exterior angle is 3 : 1, then find the difference between the interior and exterior angle of the polygon.

1. 70${}^{\circ }$

2. 45${}^{\circ }$

3. 90${}^{\circ }$

4. 135${}^{\circ }$

Q. The sides of a triangle park are in ratio 3:5:7, if its perimeter is 90 m, then find its side lengths.

Q.

A certain amount has been divided into two parts in the ratio 2 : 7. If the second part is ₹ 210 then the total amount is ₹ ___

1. 270

2. 60

3. 120

4. 370

Q.

5 kgs of cement was mixed with 2 kgs of Sand. If the quantity of sand is tripled and that of cement is doubled, find the new ratio between cement and sand.

1. 10 : 8

2. 5 : 4

3. 5 : 3

4. 8 : 6

Q.

If the length, breadth and height of a cuboid are in ratio 1: 2: 3 and its volume is 6000cm${}^3$ then the height of the cuboid is ___

1. 3000 cm

2. 300 cm

3. 30 cm

4. 3 cm

Q.

A father divided a rectangular piece of land between his 2 sons in ratio 4 : 5. The length of the field was twice it's breadth.

If breadth is 6 m, then find the area of land which the 1st son got. (The lesser share)

1. 40 $m^2$

2. 30 $m^2$

3. 36 $m^2$

4. 32 $m^2$

Q.

A class is divided into 2 batches for a school picnic. One batch has boys and girls in the ratio 3 : 4 and the other batch has it in the ratio 2 : 3. There are 20 more students in the first batch than the second. Find the total number of girls in the first batch if the number of boys in the second batch are 20.

1. 30

2. 40

3. 50

4. 20

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. 20 cm

3. 15 cm

4. 18 cm

Q.

If the length, breadth and height of a cuboid are in ratio 1 : 2 : 3 and its volume is 6000cm${}^3$ then the height of the cuboid is ___.

1. 300 cm

2. 3000 cm

3. 30 cm

4. 3 cm

Q.

A Cake is divided among 3 friends namely Kunal, Rhea and Ankita. They get it in the ratio 2 : 5 : 7.

If the weight of the full cake is 420 gms, how much cake does Ankita get?

1. 240 gms

2. 210 gms

3. 60 gms

4. 150 gms

Q.

Jack has 25 notes of ₹ 50 with him. John has 15 notes of ₹ 100. What is the ratio between the overall money that Jack and John have respectively?

1. 6 : 7

2. 3 : 4

3. 5 : 6

4. 7 : 8

Q.

The ___________ and __________ terms of a proportion are called means.

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. 2 cm

2. 5 cm

3. 4 cm

4. 3 cm

Q.

The ratio of men to women working for a company is $7$ to $4$.

If there are $189$ men working for the company, what is the total number of employees?

Q.

Two rectangles have the same perimeter. length and breadth are in the ratio 5 : 2 in the 1st and 4 : 3 in the 2nd rectangle.

The 1st rectangle has greater area.

1. True

2. False

Q.

Fill in the blank : $\dots \dots \dots \dots \dots ..:108is1:2$

Q.

The breadth of a rectangle is 9 cm less than it's length. If the ratio between the length and the breadth is 5 : 2 , then the breadth of the rectangle is

1. 5 cm

2. 6 cm

3. 4 cm

4. 8 cm

Q. A bag contains 60 red, 55 green and 75 white balls. Then, calculate the following ratios.

1. 12 : 11
2. 4 : 5
3. 11 : 15

Q.

The ratio between the breadth and the length of a flag is 3 : 5.

If the length is 20 cm , what is the perimeter of the flag?

1. 32 cm

2. 64 cm

3. 80 cm

4. 54 cm

Q.

The ratio which divides 5 litres of water into 2 glasses is 2 : 3. If the water in the 1st glass is doubled, what is the new ratio?

1. 3 : 5

2. 4 : 3

3. 3 : 2

4. 5 : 4

Q. In a regular polygon if the ratio of the interior and exterior angles is 3:2 then what is the interior angle of the polygon?

Q.

$60\%$ of your height is $57cm$. Find your height.

Q.

If the length, breadth and height of a cuboid are in ratio 3: 4: 4 and its volume is 48000 cm${}^3$ then find the length, breadth and height of the cuboid.

1. length = 80 cm, breadth = 60 cm and height = 100 cm

2. length = 30 cm, breadth = 40 cm and height = 40 cm

3. length = 120 cm, breadth = 40 cm and height = 10 cm

4. length = 60 cm, breadth = 80 cm and height = 80 cm

Q.

The given parts have been cut out from a Circle.

What is the ratio between the first part and the second ?

1. 3 : 4

2. 1 : 3

3. 3 : 2

4. 1.5 : 2