Introduction to Ratios

Q.

A speed of $1km/hr$ is equal to ________.

1. $1000m/s$

2. $\frac{5}{18}m/s$

3. $3600m/s$

4. $\frac{18}{5}m/s$

Q.

How long will it take to drive 450 km if you are driving at a speed of 50 km per hour?

1. 6 Hours

2. 3.5 Hours

3. 12.5 Hours

4. 9 Hours

Q. What is the ratio of the number of sides of a square to the number of vertices of a cube?

1. 2:1
2. 4:8
3. 1:2
4. 8:4

Q.

At what rate percent will a sum of money double itself in $6$ years ?

Q.

A train 165 m long is running at the speed of 60 km/hr. Find the time taken to pass a man who is running at a speed of 6 km/hr in the same direction as that of the train?

1. 10 s

2. 15 s

3. 18 s

4. 11 s

Q.

How do you calculate speed?

Q.

Discount allowed is a kind of deduction from

1. Discount account

2. Account payable

3. Cash account

4. Account receivable.

Q.

Find the ratio of 5 km to 250 m. (Select all the options that are correct)

1. 1:100

2. 10:1

3. 100:1

4. 1:1000

Q.

The product of smallest prime number and smallest composite number is divided by $4$. Find the resulting number.

Q. At what rate of interest per annum will a sum triple itself in 9 years, if calculated as per simple interest formula.

Q.

How do I calculate simple interest rate?

Q. If the cost of 5 pieces of Red Velvet cake is ₹ 225, then find the cost (in ₹) of 25 pieces of the cake.

1. 1125

Q. What is the ratio of triangles to stars in the below picture?

1. 9 : 5
2. 5 : 14
3. 5 : 9
4. 9 : 14

Q. If 4:2 = 62:x, then find the value of x.
$\left[2Marks\right]$

Q.

In a shop there were Fanta, coca cola and sprite bottles in a ratio of 8 : 15 : 12 respectively. If the total number of Fanta bottles is 120, then find the total number bottles. [3 MARKS]

Q. In a class of 12 girls and 30 boys, find the ratio of number of girls to total no. of students?

1. 6 : 5
2. 2 : 5
3. 2 : 7
4. 5 : 6

Q. A period of $4$ hours $30$ min is what percent of a day?

1. $19\%$
2. $18\frac{3}{4}\%$
3. $20\%$
4. $16\frac{2}{3}\%$

Q. A train covers the first half of 80 km at a speed of 30 km/h and the second half at if the average speed of the journey is 45km/h.

1. 100 km/hr
2. 85 km/hr
3. 90 km/hr
4. 65 km/hr

Q.

A man covers a total distance of $750\mathrm{km}$ in his car with an average speed of $50\mathrm{km}/\mathrm{hr}$. How much time does he take?

Q. Production of wheat is 2 1/4 times that of rice, but the cost of rice is 1 1/4 that of wheat. If a farmer produces wheat in place of rice than what is his income in terms of previous income.

Q. How do you convert $100$ millimeters to meters?

Q.

Find the ratio of 65 to 105.

1. 13:19

2. 12:17

3. 13:21

4. 11:16

Q. The ratio of the smallest prime number to the smallest composite number is

1. 2: 3

2. 1: 2

3. 1: 4

4. 1: 3

Q.

The ratio of Alpha’s weight to Beta’s weight is 6:7. If Alpha’s weight is 84kg, How much does Beta weigh?

1. 92 kg

2. 96 kg

3. 98 kg

4. 94 kg

Q. Find the ratio of 15 kg to 210 g.

1. 50:7
2. 500:7
3. 5:70
4. 15:7

Q.

Ram can type 50 words per minute. If the ratio of words typed per minute by Rahul and Ram is 3 : 2,

then Rahul can type ___ words per minute.

1. 65

2. 100

3. 45

4. 75

Q.

There are $14$ blue marbles, $8$ red marbles, and $12$ green marbles in a jar.

What is the ratio of the total number of marbles to the number of red marbles?

1. $24:8$.

2. $34:8$

3. $8:34$.

4. $8:24$

Q. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours ?

Q. Henry drives 150 miles at 30 miles per hour and then another 200 miles at 50 miles per hour. What was his average speed, in miles per hour, for the entire journey, to the nearest hundredth?

1. $38.89$
2. $45.00$
3. $42.33$
4. $34.58$

Q. Which of the following measurements is the greatest: 24 cm, 24 m, 2400 mm, 240 cm

1. 24 cm
2. 24 m
3. 2400 mm
4. 240 cm