Reducing a Ratio to Its Lowest Form

Q. Find the equivalent ratio of 3:4.

1. 4:5
2. 5:6
3. 12:16
4. 16:12

Q.

The age of Rahul and Haroon are in the ratio of $5:7$. Four years later the sum of ages will be $56$ years. What are their present ages?

Q.

Two varieties of oil are mixed in the ratio $4:3$ to produce the first quality and if they are mixed in the ratio $2:3$, the second quality is obtained. How many kg of the first quality be mixed with $10kg$ of the second quality so that a third quality having the two varieties in the ratio $5:4$ may be produced $?$

Q. There are two ropes, the shorter one being 2 m long and the other one being 6 m long. Then, the ratio of the length of the longer to shorter rope is .

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

Q.

Sunil and his father's age are in the ratio 3:7. Four years later the sum of their ages will be 78 years. What are their present ages?

1. 24 and 56 years

2. 18 and 42 years

3. 21 and 49 years

4. 27 and 63 years

Q.

Find the ratio of:-

$60paise$ to $₹2$

Q. John has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of sandstone to marble in his collection?

1. 14 : 3
2. 1 : 2
3. 1 : 3
4. 1 : 1

Q.

The length of a rectangular room is$12\mathrm{m}$ and its width is $6.8\mathrm{m}$. Find the ratio of its length to its width.

Q.

The ages of Hari and Harry are in the ratio of $5:7$. Four years from now the ratio of their ages will be $3:4$. Find their present ages.

Q.

An architect drew a scaled down plan of a building. On the map, the dimensions of a room are written as 5cm $\times$ 4cm.

If the scale used by him is, 2cm = 10 m. What will be the equivalent ratio of the length and breadth of the actual room.

1. 250m × 200m

2. 250km × 200km

3. 2.50km × 20.0km

4. 250cm × 200cm

Q.

The ratio between $\text{2 km}$and $\text{5 m}$ is

1. $2:5$

2. $5:2$

3. $400:1$

4. $1:400$

Q. Write the decimal form of $\frac{448}{2500}$.

Q.

Question 6

Only one of the four options is correct. Write the correct one.

In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?

a) 8

b) 19

c) 21

d) 22

Q.

In a metal, iron and brass are mixed in the ratio of 40:60. So in a vessel of the same metal weighing 3 Kg, what would be the quantity of Iron?

1. 0.5 Kg

2. 1.2 Kg

3. 2 Kg

4. 1 Kg

Q.

Find the ratio of $30cm$ is to $1.5m$

Q.

The weights of Shankar and Shyla are 45 kg and 30 kg respectively. Express these weights as a ratio.

Q.

In a box full of fruits there are oranges, apples, and pears in the ratio of $2:5:6$. What is the total weight of the fruits in the box if it is known that there is $4.8\mathrm{lbs}$ of oranges in the box?

Q. How many times, the circle with radius 6 units is larger than the circle with radius 3 units?

1. 2

Q.

Give two equivalent ratios of?

$19:21$

Q.

To fuel autorikshaws, petrol and oil are mixed in the ratio 40 : 1. How many liters of oil is needed with 5 liters of petrol? And with 1 liter of petrol?

Q.

The length of a snake is 10 cm and that of a crocodile is 2 m. Pick the correct statement.

1. Crocodile is 20 times longer than snake

2. The ratio of length of snake to crocodile is 5:1

3. The ratio of length of snake to crocodile is 1:20

4. Both B & C

Q.

$\frac{125}{650}$ is equivalent to ___.

1. 1/5

2. 5 : 26

3. 350 : 1950

4. 375 : 1950

Q.

Two quantities are in the ratio 1 : 4. On increasing the smaller one by 6 and decreasing the larger one by 6, The quantities are now in the ratio 7 : 13.

What were the original quantities ?

1. 7 and 28

2. 4 and 16

3. 8 and 32

4. 10 and 40

Q.

Two quantities are in the ratio 3 : 7. If the smaller one is made 4 times it's size and the larger one is doubled , what would be the new ratio?

1. 12 : 20

2. 5 : 7

3. 12 : 7

4. 6 : 7

Q.

The ratio of weights of zinc and copper in an alloy is 5:8. If the weight of copper in a sample of this alloy is 12 g, what is the weight of zinc?

1. 7 g

2. 7.5 g

3. 6.5 g

4. 6 g

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?
$\left[2Marks\right]$

Q.

The length of a rope is 2 m and its diameter is 1 cm. Ratio of length of the rope to its diameter is

1. 200:1

2. 2000:1

3. 1:2000

4. 2:1

Q.

The ratio which is equivalent to $\frac{3}{7}$is:

1. $24:48$

2. $21:49$

3. $12:32$

4. $30:63$

Q. Two persons A and B of weight 60kg and 40kg respectively stand facing each other and pull on a light rope streched between them. Find the ratio of distance covered by them when they meet if their initial separation was 5 m

Q. Amit's weight is 10 kg more than that of Harsha's weight. is the ratio of Amit's weight to Harsha's weight. (Let's take Harsha's weight as x)

1. $(x+10):x$
2. $x:(x+10)$
3. $10x:x$