Ratio And Proportion Test

Result

Ratio And Proportion Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

Marks of Sam and Robin are in the ratio of 5 : 3. If Sam has 150 more marks than Robin, then calculate the marks of Robin.

A
175

B
205

C
225

D
235

Solution

Let Sam's marks be 5x.
Let Robin's marks be 3x.
ATQ,
5x = 150 + 3x
5x - 3x = 150
2x = 150
x = 75
Robin's marks = 75 × 3 = 225
Question 2
1 / -0

Sam's piggy bank contains some 50 pence, 10 pence and 5 pence coins in the ratio 4 : 3 : 2. If total money in the piggy bank is 480 pence, find the total number of coins.

A
16

B
18

C
21

D
25

Solution

Let the number of 50 pence coins, 10 pence coins and 5 pence coins be 4x, 3x and 2x, respectively.
According to the question,

4x × 50 + 3x × 10 + 2x × 5 = 480
200x + 30x + 10x = 480
240x = 480
x = 2

Number of 50 pence coins = 4 × 2 = 8
Number of 10 pence coins = 3 × 2 = 6
Number of 5 pence coins = 2 × 2 = 4
Total number of coins = 8 + 6 + 4 = 18
Question 3
1 / -0

Anu and Shilpa divide some artificial pearls in the ratio 7 : 5, respectively. If Shilpa's share was 70, then find the total number of pearls.

A
168

B
175

C
178

D
185

Solution

Anu's share = 7x
Shilpa's share = 5x
ATQ, Shilpa's share = 70
So, 5x = 70
x = 70 ÷ 5
x = 14
Anu's share = 7 × 14 = 98
Therefore, total number of pearls = 98 + 70 = 168
Question 4
1 / -0

Rs. 864 were spent to buy 12 notebooks. How many notebooks can be bought for Rs. 216?

A
7

B
6

C
5

D
3

Solution

Cost of 1 notebook = Rs. 864 ÷ 12 = Rs. 72
So, number of books purchased for Rs. 216 = 216/72 = 3
Question 5
1 / -0

210 boxes of fireworks are divided between brothers Raman and Danny in the ratio 8 : 6. Find the number of firework boxes that Raman will get.

A
102

B
120

C
126

D
132

Solution

Let Raman's share = 8x
So, Danny's share = 6x

From question,
8x + 6x = 210
14x = 210
x = 15

So, Raman's share = 15 × 8 = 120
Question 6
1 / -0

Total income of P, Q and R is Rs. 5,43,618 altogether. Q's income is double that of P. R's income is three times that of Q. What is P's income?

A
Rs. 60,402

B
Rs. 50,282

C
Rs. 40,360

D
Rs. 39,460

Solution

From question, assume the income of P, Q and R to be x, 2x and 6x respectively.
According to question,

x + 2x + 6x = 5,43,618
9x = 5,43,618
x = Rs. 60,402

Question 7

1 / -0

Match the following.

(A) The second term of a ratio	(i) Equivalent fractions
(B) The method of comparing two numbers	(ii) Consequent
(C) Two fractions whose value is the same	(iii) Ratio

(A) - (ii), (B) - (iii), (C) - (i)

(A) - (i), (B) - (iii), (C) - (ii)

(A) - (ii), (B) - (i), (C) - (iii)

(A) - (iii), (B) - (i), (C) - (ii)

Solution

1. The second term of a ratio is called consequent.
2. The method of comparing two numbers is called ratio.
3. When two fractions with same value are simplified, then they are called equivalent fractions.

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Re-Attempt Weekly Quiz Competition

Ratio And Proportion Test - 6

Result

Ratio And Proportion Test - 6

Score

-

Rank

-

SHARING IS CARING

Question 1

175

205

225

235

Solution

Question 2

16

18

21

25

Solution

Question 3

168

175

178

185

Solution

Question 4

7

6

5

3

Solution

Question 5

102

120

126

132

Solution

Question 6

Rs. 60,402

Rs. 50,282

Rs. 40,360

Rs. 39,460

Solution

Question 7

(A) - (ii), (B) - (iii), (C) - (i)

(A) - (i), (B) - (iii), (C) - (ii)

(A) - (ii), (B) - (i), (C) - (iii)

(A) - (iii), (B) - (i), (C) - (ii)

Solution

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