Challenges on Proportions

Q.

A ratio is a comparison of two quantities of the same kind, even if they are having different units.

1. True
2. False

Q.

A tower casts a shadow of length $100m$ at a time when a $12m$ high pole casts a shadow of length$16m$. Find the height of the tower.

Q.

A cake recipe uses $150$ grams of sugar in $400$ grams of flour then find the ratio of sugar to the amount of flour and sugar.

Q. Sam's playing a game in which the total score varies directly as the square of the number of coins collected. If he has collected $10$ coins, then he gets a score of $500$. To reach a high score of $2000$ the number of coins he should collect is

1. 20

Q. The ratio of water to milk in a mixture is 5:7. If 15 ml of water is added to the mixture, how much milk should be added to keep the mixture intact?

1. 20
2. 21
3. 22
4. 23

Q.

Are the following in proportion?

$25,75,12,36$

Q.

Are the following in proportion?

$12,36,18,25$

Q.

Are the following in proportion?

$20kg,80kg=Rs100,Rs300$

Q. Eva participated in a pizza eating contest where she eats a pizza in 30 minutes. How many pizzas will she eat if the contest lasts for 4 hours?

1. 6
2. 8
3. 10
4. 12

Q.

Which of the following are in proportion?

$5:9$ and $200:360$

Q. A florist sold 17 flowers in 5 days. At this sales rate, how many days does it take to sell 85 flowers?

1. 23
2. 24
3. 25
4. 26

Q. Sam and Jack went to a nearby pizza shop and ordered identical-sized pizzas. After that, Sam divides his pizza into eight equal slices, while Jack divides his pizza into five equal slices. If Sam ate five while Jack ate only three slices, then select the appropriate choice.

1. Jack ate more pizza than Sam.
2. Sam ate more pizza than Jack.
3. Both ate equal amount of pizza.

Q. A truck loaded with toys travels a distance of $14$ miles in $25$ minutes. With the same speed the truck can travel miles in $75$ minutes.

1. $28$
2. $42$
3. $52$

Q. Find the value of $n$ such that

1. $18$
2. $20$
3. $16$
4. $2$

Q. If $2:6::a:9$, then the value of $a$ is

1. 3
2. 9
3. 6

Q. The density of Ed cola is 1.05 g/mL. If the empty can has a mass 35g, then the mass of a can of 300mL of Ed cola is

1. 300 g
2. 400 g
3. 350 g
4. 325 g

Q. In proportion 5 : 15 : : 2 : 6, 5 and 6 represent Extremes.

1. True
2. False

Q. Eddie can type 9 pages for a book in 40 minutes. If he keeps typing at the current pace, then the number of pages he can type in 2 hours is pages

1. 36
2. 27
3. 30