Ratio and Proportion Test

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Ratio and Proportion Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

11:12__ 1:2

A
<

B
>

C
=

D
can not find

Solution

Given 11: 12 or 1: 2
LCM for 12 and 2 is 12
11: 12 can be written as = 11/12
And 1:2 can bewritten as = 1/2
1/2 × (6/6) = 6/12
And we have 6/12
Clearly 12 >6
Therefore 11/12 >1/2
Question 2
1 / -0

The ratio of income to the expenditure of a family is 2:1. Find the savings if the income is Rs.400.

A
400

B
200

C
100

D
50

Solution

Given that income =400
Given the ratio ofincome and expenditure = 2:1
2x = 400
Therefore x = 200
Expenditure = x =Rs.200
Savings = Income –Expenditure
= 400 -200
= Rs.200
Question 3
1 / -0

7 : 5 =

A
12/10

B
8/10

C
21/15

D
14/10

Solution

Given 7 : 5 and can be written as 7/5.
By multiplying both numerator and denominator by 2 we equivalent-ratios
7/5×(2/2) = 14/10
Question 4
1 / -0

An electric pole casts a shadow of length 25 meters at a time when a tree 3 meters high casts a shadowof length 5meters. Find the height of the pole.

A
1

B
15

C
20

D
5

Solution

Given that lengthelectric pole shadow is 25 m
Height of the tree:Length of the shadow of tree
Height of the pole:Length of the shadow of pole
x: 25 = 3:5
x = 75/5
x = 15
Therefore height of thepole is 15 meters
Question 5
1 / -0

Find x,
2: 49 = x: 98

A
7

B
6

C
5

D
4

Solution

Given 2 : 49 = x : 98
In proportion weknow that product of extremes = product of means
2/49 = x/98
On crossmultiplying
x = (2 × 98)/49
x = 2 x 2
x = 4.
Question 6
1 / -0

3:1=

A
15/7

B
24/6

C
27/9

D
18/7

Solution

Given 3:1 and can be written as 3/1
By multiplying bothnumerator and denominator by 9 we equivalentratios
3/1 × (9/9) = 27/9.
Question 7
1 / -0

4 : 5 =

A
12/18

B
16/25

C
24/30

D
25/16

Solution

Given 4 : 5 and can be written as = 4/5
By multiplying both numerator and denominator by 6 we equivalent ratios
4/5×(6/6)
= 24/30
Question 8
1 / -0

Two numbers are respectively 40% and 10% more than a third number. Theratio of the two numbers is

A
11/14

B
14/11

C
10/11

D
25/14

Solution

Let the thirdnumber be z.
First Number(140/100) x z = 14z/10
Second Number(110/100) x z = 11z/10
Ratio =14z/10:11z/10
14/11.
Question 9
1 / -0

2/11= x /55, find x

A
8

B
9

C
10

D
11

Solution

Given 2/11 =x/55
x = 55 x 2/11
x = 110/11
x = 10.
Question 10
1 / -0

Find x,
x : 12 = 3 : 144

A
1/5

B
1/6

C
1/4

D
1/3

Solution

Given x : 12 = 3 : 144
In proportion weknow that product of extremes = product of means
x/12 = 3/144
On crossmultiplying
x = (3×12)/144
x = 1/4
Question 11
1 / -0

Ifthree numbers in the ratio 1 : 3 : 1 be such that the sum of their squares is200 the middle number will be

A
120

B
130

C
140

D
150

Solution

Let the numbers be x, 3x and x.
Then,
x + 3x + x = 200
5x = 200
x = 200/5
x = 40.
Middle number = 3x
= 3 × 40
= 120
Therefore, the middle number is 120.
Question 12
1 / -0

9 : 10 =

A
81/100

B
63/90

C
63/70

D
None of the above

Solution

Given 9 : 10 and can be written as 9/10.
By multiplying both numerator and denominator by 7 we equivalent ratios
9/10×(7/7)
= 63/70
Question 13
1 / -0

12/20 = 9/….

A
12

B
13

C
14

D
15

Solution

Consider 12/20 =9/….
Let the unknownvalue be y
Therefore 12/20 =9/y
On crossmultiplying we get
y = 180/12
Y=15
Question 14
1 / -0

Find a, if a/ 11= 11/a

A
11

B
12

C
121

D
9

Solution

Given a/ 11= 11/a
a × a = 11 ×11
a × a = 121
a = √121
a = 11.
Question 15
1 / -0

11 : 15 =

A
33/30

B
22/30

C
44/45

D
None of the above

Solution

Given 11 : 15 and can be written as 11/15.
By multiplying both numerator and denominator by 2 we equivalent ratios
11/15×(2/2) = 22/30

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Re-Attempt Weekly Quiz Competition

Ratio and Proportion Test - 8

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Ratio and Proportion Test - 8

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SHARING IS CARING

Question 1

<

>

=

can not find

Solution

Question 2

400

200

100

50

Solution

Question 3

12/10

8/10

21/15

14/10

Solution

Question 4

1

15

20

5

Solution

Question 5

7

6

5

4

Solution

Question 6

15/7

24/6

27/9

18/7

Solution

Question 7

12/18

16/25

24/30

25/16

Solution

Question 8

11/14

14/11

10/11

25/14

Solution

Question 9

8

9

10

11

Solution

Question 10

1/5

1/6

1/4

1/3

Solution

Question 11

120

130

140

150

Solution

Question 12

81/100

63/90

63/70

None of the above

Solution