Ratio And Proportion Test-1

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Ratio And Proportion Test-1

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Weekly Quiz Competition

Question 1
1 / -0.25

If P : Q : = 8 : 15 and Q : R = 3 : 2, then find P : Q : R

A
8 : 15 : 7

B
7 : 15 : 8

C
8 : 15 : 10

D
10 : 15 : 8

E
None of these

Solution

Given that, P : Q = 8 : 15, Q : R = 3 : 2
P : Q : R = (8 x 3) : (15 x 3) : (15 x 2) = 24 : 45 : 30
∴P : Q : R = 8 : 15 : 10
Here, consequent of first ratio should be equal to the antecedent of second ratio.
Question 2
1 / -0.25

If P:Q = 8:15, Q:R = 5:8, R:S = 4:5 Then P:S is

A
4 : 15

B
2 : 15

C
3 : 19

D
7 : 15

E
None of these
Question 3
1 / -0.25

Find the 4^th proportional to 4, 16 and 7

A
28

B
29

C
22

D
25

E
None of these
Question 4
1 / -0.25

Find the 3^rd proportion to 15 and 30

A
55

B
15

C
65

D
60

E
None of these
Question 5
1 / -0.25

Find the mean proportional between 9 and 64.

A
25

B
24

C
27

D
35

E
None of these

Solution

The correct option is B.
Step-by-step explanation:
Mean proportional=√9*√64
3*8
24
Question 6
1 / -0.25

Find the compound ratio of 2:7, 5:3, 4:7

A
147:40

B
40:147

C
147:30

D
30:147

E
None of these

Solution
Question 7
1 / -0.25

A : B is 3 : 4 and B : C is 8 : 9 Find A : B : C

A
3 : 4 : 5

B
1 : 2 : 3

C
7 : 12 : 17

D
6 : 8 : 9

E
None of these

Solution
Question 8
1 / -0.25

If 4a = 5 b and 7b = 9c then a : b : c = ?

A
45 : 36 : 28

B
44 : 33 : 28

C
28 : 36 : 45

D
36 : 28 : 45

E
None of these

Solution

The correct option is A.
Given that 4a = 5b
∴a/b = 5/4
Also 7b = 9c
∴b/c = 9/7
∴a : b = 5 : 4 = (5 x 9) : (4 x 9) = 45 : 36
and b : c = 9 : 7 = (9 x 4) : (7 x 4) = 36 : 28
∴a : b : c = 45 : 36 : 28
Question 9
1 / -0.25

If P : Q : R = 2 : 3 : 4, then find P/Q : Q/R : R/P ?

A
8 : 9 : 24

B
9 : 8 : 24

C
24 : 8 : 9

D
8 : 24 : 9

E
None of these

Solution

Given that, P : Q : R = 2 : 3 : 4
Let P = 2K, Q = 3K, R = 4K
∴P/Q = 2K/3K = 2/3,
Q/R = 3K/4K = 3/4,
R/P = 4K/2K = 2/1
∴P/Q : Q/R : R/P = 2/3 : 3/4 : 2/1
= (2 x 12)/3 : (3 x 12)/ 4 : (2 x 12)/1
= (2 x 4) : (3 x 3) : 24
= 8 : 9 : 24
Question 10
1 / -0.25

a : b = c : d = e : f = 1 : 2 then (3a + 5c + 7e) : (3b + 5d + 7f) = ?

A
1 : 2

B
2 : 1

C
3 : 1

D
1 : 3

E
None of these

Solution

The correct option is A.
A/b=c/d=e/f=1/2
so,b=2a, d=2c, f=2e
then,
=3a+5c+7e/[3(2a)+5(2c)+7(2e)]
=3a+5c+7e/6a+10c+14e
=3a+5c+7e/2(3a+5c+7e)
=1/2.

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Re-Attempt Weekly Quiz Competition

Ratio And Proportion Test-1

Result

Ratio And Proportion Test-1

Score

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Rank

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SHARING IS CARING

Question 1

8 : 15 : 7

7 : 15 : 8

8 : 15 : 10

10 : 15 : 8

None of these

Solution

Question 2

4 : 15

2 : 15

3 : 19

7 : 15

None of these

Question 3

28

29

22

25

None of these

Question 4

55

15

65

60

None of these

Question 5

25

24

27

35

None of these

Solution

Question 6

147:40

40:147

147:30

30:147

None of these

Solution

Question 7

3 : 4 : 5

1 : 2 : 3

7 : 12 : 17

6 : 8 : 9

None of these

Solution

Question 8

45 : 36 : 28

44 : 33 : 28

28 : 36 : 45

36 : 28 : 45

None of these

Solution

Question 9

8 : 9 : 24

9 : 8 : 24

24 : 8 : 9

8 : 24 : 9

None of these

Solution

Question 10

1 : 2

2 : 1

3 : 1

1 : 3

None of these

Solution

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Question Analysis

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