Proportional Reasoning 2 Class 8 MCQ
easyProportional Reasoning 2 Class 8 MCQ
Proportional Reasoning 2 Class 8 MCQ
Question 1.
If 8 : 10 is equivalent to (1.2m): (2m - 5), which of these is equivalent to (m + 5) : (2m + 5)?
(a) 1 : 1
(b) 3 : 5
(c) 25 : 15
(d) 4 : 5
Answer:
(b) 3 : 5
Question 2.
In which order should the numbers 6, 12, 18 and 36 be placed such that they are in proportion?
(a) 36 : 12 :: 6 : 18
(b) 36 : 18 :: 6 : 12
(c) 18 : 12 :: 36 : 6
(d) 18 : 36 :: 6 : 12
Answer:
(d) 18 : 36 :: 6 : 12
Question 3.
For what value of t, the numbers 9, 15, t, (2t - 1) will be in proportion where t is a number greater than 1?
(a) [latex]\frac{1}{3}[/latex]
(b) 3
(c) [latex]\frac{5}{7}[/latex]
(d) 6
Answer:
(b) 3
Question 4.
At an exhibition, a man can purchase 5 tickets for ₹ 675. To purchase 7 tickets in total, how much more money is needed?
(a) ₹ 270
(b) ₹ 370
(c) ₹ 945
(d) ₹ 1620
Answer:
(a) ₹ 270
Question 5.
If 9 : 15 :: 27 : m are in proportion, what is the value of m ?
(a) 5
(b) 45
(c) 33
(d) 16.2
Answer:
(b) 45
Case Study
Question 1.
CYCLIST SUMITRA
Sumitra has got a new bicycle. It is fitted with a speedometer, which can tell her the distance she travels and average speed for the trip.
(a) On one of the trips, Sumitra rode 2 km in the first 5 minutes and then 4 km in the next 10 minutes.
Which of the following statements is true ?
(i) Sumitra’s average speed was greater in the first 5 minutes than in the next 10 minutes.
(ii) Sumitra’s average speed was the same in the first 5 minutes and in the next 10 minutes.
(iii) Sumitra’s average speed was less in the first 5 minutes than in the next 10 minutes.
(iv) It is not possible to tell anything about Sumitra’s average speeds in the two situations.
(b) In an another trip, Sumitra rode 6 km to reach were friend’s house. Her speedometer indicated that she had travelled at an average speed of 18 km/h.
Which of the following statements is true ?
(i) Sumitra reached her friend’s house in 3 hours.
(ii) Sumitra reached her friend’s house in 30 minutes.
(iii) Sumitra reached her friend’s house in 20 minutes.
(iv) Sumitra reached her friend’s house in 2 hours.
(c) One day, Sumitra rode her bicycle from her home to bank of a river, which is at a distance of 4 km from the home. She took 9 minutes to reach the river. She came hack to her home by a shorter route of 3 km in just 6 minutes.
What was the average speeds for the entire trip ?
(i) 28 km/h
(ii) 21 km/h
(iii) 14 km/h
(iv) 35 km/h
Fill in the blanks :
(d) If she rodes at a speed of 15 km/h for 10 minutes, then the distance covered by her is _________ .
(e) Time taken by her to rode a distance of 21 km at a speed of 12 km/h is ________ .
Answer:
(a) (ii)
(b) (iii)
(c) (i)
(d) 2.5 km
(e) 1 hour 45 minutes.
Question 2.
Following table gives the values of two quantities x and y, which are in direct proportion, when m is a constant.
| x | 6 | 9 |
| y | 7m | 10m + 1 |
(a) The value of m is
(i) 2
(ii) 3
(iii) 6
(iv) 7
(b) The constant of proportionality for this is
(i) [latex]\frac{1}{11}[/latex]
(ii) [latex]\frac{3}{7}[/latex]
(iii) [latex]\frac{1}{3}[/latex]
(iv) [latex]\frac{2}{3}[/latex]
Fill in the blanks :
(c) Value of x, when y = 7, is __________ .
(d) Value of y, when x = 18, is _________ .
(e) Value of x, when y = 9, is _____________.
(f) Value of y, when x = 12, is ___________ .
Answer:
(a) (i)
(b) (ii)
(c) 3
(d) 42
(e) [latex]\frac{27}{7}[/latex]
(f) 28