Practicing Class 8 Maths MCQ and Class 8 Maths Part 2 Chapter 3 Proportional Reasoning 2 MCQ Questions Online Test with Answers daily helps in time management.
MCQ on Proportional Reasoning 2 Class 8
Proportional Reasoning 2 MCQ Class 8
Class 8 Proportional Reasoning 2 MCQ
Multiple Choice Questions
Question 1.
5 : 10 is equivalent to
(a) 1 : 5
(b) 1 : 2
(c) 2 : 1
(d) 10 : 5
Answer:
(b) 1 : 2
Question 2.
Which pair of quantities is in direct proportion?
(a) Speed and Time
(b) Distance and Time
(c) Workers and Days
(d) Machines and Days
Answer:
(b) Distance and Time
Question 3.
If 7 workers can complete a task in 18 days, how many days will 9 workers take to complete the same task?
(a) 12 days
(b) 14 days
(c) 16 days
(d) 21 days
Answer:
(b) 14 days
Question 4.
Two pumps individually fill a tank in 6 hours and 9 hours respectively. If both are used together, how long will they take to fill the tank?
(a) 3 hours
(b) 3.6 hours
(c) 4 hours
(d) 7.5 hours
Answer:
(b) 3.6 hours
Question 5.
If 4 boys can do a job in 12 days, then 8 boys will take
(a) 24 days
(b) 16 days
(c) 6 days
(d) 10 days
Answer:
(c) 6 days
Assertion-Reason Questions
Question 1.
Assertion (A) In a pie chart, the angle of each sector depends on the total number of observations.
Reason (R) The total angle of a pie chart is 360°, which is divided according to the data values.’
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
Question 2.
Assertion (A) Speed and time taken to cover a fixed distance are inversely proportional.
Reason (R) When the speed increases, the time taken decreases in the same ratio.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true
Answer:
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Fill in the Blanks
1. When two ratios a: band c: dare proportional, then a × d = _________ × _________.
Answer:
b × c
2. A Representative Fraction (RF) shows the ratio between the distance on a map and the corresponding _________ distance on the ground.
Answer:
actual (geographical)
3. If quantities change by the same factor to maintain the same ratio, the relationship is called a _________ relationship.
Answer:
proportion
4. Two quantities are said to be in inverse proportion if their _________ remains constant.
Answer:
product
5. The total angle of a pie chart representing a whole is _________ degrees.
Answer:
360
True/False
Question 1.
If the speed of a vehicle increases, the time taken to cover the same distance increases proportionally.
Answer:
False
Question 2.
Ratios with more than two terms can be proportional if all corresponding terms change by the same factor.
Answer:
True
Question 3.
While dividing a quantity in a given ratio, each part is obtained by multiplying the total quantity by the corresponding ratio term and dividing by the sum of all ratio terms.
Answer:
True
Question 4.
The sum of the angles used to construct a pie chart is always equal to 180°.
Answer:
False
Question 5.
If 6 workers can complete a work in 10 days, fewer workers will require more days to complete the same work.
Answer:
True
Match the Columns
Question 1.
Match the following columns.
| Column A | Column B |
| (i) Representative Fraction | (a) Product of two quantities remains constant |
| (ii) Direct proportion | (b) Ratio between map distance and actual distance |
| (iii) Inverse proportion | (c) 360° |
| (iv) Pie chart | (d) Both quantities change by the same factor |
| (v) Total angle of the pie chart | (e) Used to show parts of a whole |
Answer:
| Column A | Column B |
| (i) Representative Fraction | (b) Ratio between map distance and actual distance |
| (ii) Direct proportion | (d) Both quantities change by the same factor |
| (iii) Inverse proportion | (a) Product of two quantities remains constant |
| (iv) Pie chart | (e) Used to show parts of a whole |
| (v) Total angle of the pie chart | (c) 360° |