Proportion

Q. Which of the following ratio is equivalent to 3 : 2 ?

1. 9 : 4
2. 6 : 4
3. 3 : 4
4. 6 : 2

Q. The scale of a map is given as 1: 30000. Two cities are 4 cm apart on the map. Find the actual distance between them.

Q. If $a,b,c$ and $d$ are in proportion, which of the following are true?

1. $b:a::d:c$
2. $a:c::b:d$
3. $(a+b):b::(c+d):d$
4. $a:b::d:c$

Q. If, a:b :: c:d, then,

1. ac = bd
2. ab = cd
3. ad = bc
4. abc = bd

Q.

If 2 : 9 :: x : 18 then find the value of x.

1. 4

2. 10

3. 8

4. 12

Q.

If Apple is coded as 4, orange is coded as 6 then code for guava is?

Q. The fourth proportional to 2, 3, 4 is

1. 5
2. $\frac{2}{3}$
3. 6

Q. Write 'T' for true and 'F' for false

(i) Mean proportional between 0.4 and 0.9 is 6.
(ii) The third proportional to 9 and 12 is 10.5.
(iii) If 8 : x :: 48 : 18, then x = 3.
(iv) If (3a + 5b) : (3a − 5b) = 5 : 1, then a : b = 5 : 2

Q. The mean proportional of 4 and 9 is ____ .

1. 10
2. 9
3. 4
4. 6

Q.

If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c

1. 5 : 6 : 8

2. 10 : 6 : 12

3. 6 : 10 : 24

4. 12 : 6 : 14

Q.

Find the fourth proportion of 2 , 4 and 8

1. 42

2. 64

3. 4

4. 16

Q.

greg paid $1400nigelpaied$ 1050
mike paied $1750totoalcostofboatis$ 4200

five years latr they sell the boat for $3300
a) how much does each of them recive from the sale of the boat ?
b) how much more money did mike lose from the sake of the boat then greg?
c) who made the smallest loose from the sale of the boat? how much did he get.

Q. 20 kg of rice is needed for a family of 4 members, how many kg of rice is required if the number of members in the house increases by 8?

Q. If $6:7::36:x$, then find the fourth proportion.

1. 36
2. 49
3. 42
4. 39

Q.

Which of the following are in proportion?

$4:7$ and $12:21$

Q.

Find the fourth proportional to:

$2.1,1.5,8.4$

Q. Which of the following statement is correct for proportion?

1. Product of means is greater than the product of extremes
2. Product of means is lesser than the product of extremes
3. Product of means is equal to the product of extremes
4. None of the above

Q. 20 cartoon boxes have 300 balls. How many cartoon boxes are required to pack 750 balls?

1. 50 cartoon boxes
2. 40 cartoon boxes
3. 30 cartoon boxes
4. 20 cartoon boxes

Q. There are 150 teachers in a school for 3, 000 students. Find the student to teacher ratio.

1. 1 : 20
2. 20 : 1
3. 5 : 18
4. 21 : 1

Q. A rocket flies at a speed of $2.6\times {10}^7$ m/s . If the speed of a jet is $130000$ m/s, then the rocket's speed is _____ times the speed of the jet.

1. 240
2. 2400
3. 200
4. 2000

Q.

The ratio of the number of lemons to the number of cups of water to be mixed to prepare lemon juice is 3:5. For 12 lemons, what is the number of cups of water required?

1. 10

2. 20

3. 15

4. 25

Q.

A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is ratio of the number of pages typed to the number of pages left?

1. $1:3$

2. $3:1$

3. $4:1$

4. $1:4$

Q. Which of the following is proportional to 3:5?

1. 9:15
2. 3:17
3. 1:9
4. 6:12

Q. Find the fourth proportional.
15:20 :: 9:?

1. 14
2. 12
3. 7
4. 3

Q.

State whether 2/3 = 6/9 is a proportion or not.

1. Yes

2. No

Q.

Determine which of the following ratios form a proportion.

1. 13:14::39:42

2. 11:1::33:3

3. 16:15::48:45

4. All of these

Q.

The first three terms of a proportion are $15,20and30$. Find the fourth term.

Q. The product of the means in a proportion is 20. If one of the extremes is 10, then, what is the other extreme?

1. 5
2. 2
3. 10
4. 4

Q.

Find the fourth proportional to:

$8,14,16$

Q. Find the value of x in the following proportions :
x : 26 :: 5: 65