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6th Grade > Mathematics

RATIO AND PROPORTION MCQs

Total Questions : 95 | Page 10 of 10 pages
Question 91.


For the last 10 days, Kareem spent the same amount every day and has spent a total of Rs.230. What is the ratio of his expenditure? (i.e. number of days to the amount spent on that day) If he has Rs.345 left with him, in how many more days will he finish this amount? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Answer: 1 Mark
Kareem's expense for 10 days =Rs.230
Kareem's expense for 1 day  =23010=Rs.23
Ratio of Kareem's expenditure =1:23
Total amount left with Kareem =Rs.345
Number of days to finish Rs.345
34523=15 days


Question 92.


How can 20 pens be divided between Sujay and Ram in the ratio of 4:1? [4 MARKS]


 Discuss Question
Answer: Option A. ->
:
Steps: 3 Marks
Answer: 1 Mark
Ratio between Sujay and Ram = 4:1
Total value = 4+1 = 5
Therefore, Sujay’s part of total pencils = 45
Ram’s part of total pencils = 15
Thus, Pencils with Sujay
 = 45×20=16
Pencils with Ram = 15×20=4
Question 93.


Sonia and Surjeet started a competition to see who can collect the most number of stamps. At the end of one month, the ratio of the stamps Sonia had to those that Surjeet had was 89 : 93. If Surjeet has 2325 stamps. How many stamps does Sonia have? [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 3 Marks
Answer: 1 Mark
Let x and y be the number of stamps Sonia and Surjeet have respectively.
At the end of one month,
Ratio of the stamps of Sonia to Surjeet
= x : y = 89 : 93
xy=8993
x=y.8993
Given: y = 2325
x=2325×8993
 x=2325×8993=2225


Hence Sonia has 2225 stamps.


Question 94.


Cost of 6kg of wheat is Rs.72 and cost of 5kg of rice is Rs.450  [4 MARKS]
(a) What will be the cost of 8kg of wheat?
(b) What will be the cost of 1kg of rice?
(c) What is the ratio of the price of 1kg of rice to 1kg of wheat?


 Discuss Question
Answer: Option A. ->
:

a Part: 1 Mark
b Part: 1 Mark
c Part: 2 Marks
(a) Cost of 6 kg of wheat = Rs 72
 Cost of 1 kg of wheat =726=Rs.12
 Cost of 8 kg of wheat =12×8
 = Rs.96
(b) Cost of 5 kg of rice = Rs 450
Cost of 1 kg of rice =4505 
= Rs.90
     
(c) Ratio of price of 1kg of rice to 1kg of wheat
9012=152=15:2


Question 95.


Neha's toy car can travel 288 meters in a minute while Vendetta's toy car can travel 24.48 kilometres in an hour. The ratio of the speed of the cars belonging to Neha and Vendetta is: [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Answer: 2 Marks
Distance travelled by Neha's toy car in a minute = 288m
Speed of Neha's toy car = 288 m/min
Distance travelled by Vendetta's toy car in an hour (60 minutes) = 24.48km= 24480m  (1km = 1000m)
Distance travelled by Vendetta's toy car in a minute= 24480÷60 = 408 m
Speed of Vendetta's toy car=408 m/min

The ratio of the speed of the cars belonging to Neha and Vendetta =288 : 408 =12 : 17


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