ML Aggarwal Direct and Inverse Variation MCQs Class 8 ICSE Ch-9 Maths Solutions. We Provide Step by Step Answer of MCQs Questions for Direct and Inverse Variation as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-8.
ML Aggarwal Direct and Inverse Variation MCQs Class 8 ICSE Maths Solutions
| Board | ICSE |
| Publications | Avichal Publishig Company (APC) |
| Subject | Maths |
| Class | 8th |
| Chapter-9 | Direct and Inverse Variation |
| Writer | ML Aggarwal |
| Book Name | Understanding |
| Topics | Solution of MCQs |
| Edition | 2023-2024 |
Direct and Inverse Variation MCQs
ML Aggarwal Class 8 ICSE Maths Solutions
Page-162
Mental Maths
Question 1. Fill in the blanks:
(i) Two quantities are said to be in direct variation if the increase (or decrease) in one quantity causes in ………….. other quantity.
(ii) Two quantities X and Y are said to be in inverse variation if XY is …………..
(iii) The total cost of articles varies ………….. to the number of articles purchased.
(iv) More work is done in ………….. time.
(v) The time taken to finish work varies ………….. to the number of men at work.
(vi) The speed of a moving object varies inversely to the ………….. to cover a certain distance.
(vii) The number of articles varies ………….. with the cost per article if a fixed amount is available.
(viii)Remuneration is in ………….. of work done.
Answer:
(i) Two quantities are said to be in direct variation if increase (or decrease) in one quantity causes increase and decrease in other quantity.
(ii) Two quantities x and Y are said to be in inverse variation if x y is constant.
(iii) The total cost of article varies directly to the no. of articles purchased.
(iv) More work is done in more time.
(v) The time taken to finish a work varies inversely to the no. of men at work.
(vi) The speed of a moving object varies inversely.
(vii) The no. of articles varies inversely with the cost per article, if a fixed amount is available.
(viii) Remuneration is in a proportion of work done .
Question 2. State whether the following statements are true (T) or false (F):
(i) Two quantities x and y are said to be in inverse variation if 𝑥/𝑦 is constant.
(ii) Number of days needed to complete the work = 1 /one day’s work
(iii) Two quantities x and y are said to be in direct variation if x = ky, where k is constant of variation.
(vi) If A can complete a work in n days, then A’s one day’s work is 1/𝑛 of the work, n
(vii) More the money deposited in a bank, more is the interest earned.
(viii) If the number of articles purchased increases the total cost decreases.
(ix) At the same time length of shadow is in direct variation with length of the object.
(x) The distance covered varies inversely to the consumption of petrol.
Answer:
(i) Two quantities x and y are said to be in inverse variation if x/y is constant.(False)
(ii)No. of days needed to complete the work=1/1 day’s work.(True)
(iii)Two quantities x and y are said to be in direct variation if x=ky, where k is constant of variation.(True)
(iv) the work done varies inversely to the no. of men at work.
(v)In the given time, the distance covered by a moving object varies directly to it’s speed.(True)
(vi) If A can complete a work in n days , then A’s 1 days work is 1/n of the work.(True)
(vii) More the money deposited in a bank more is the interest earned.(True)
(viii) The no. of articles purchased increases the total cost decreases.(False)
(ix) At the same time length of shadow is in the direct variation with length of the object.(True)
(x)The distance covered varies inversely to the consumption of petrol.(False)
Direct and Inverse Variation MCQs
ML Aggarwal Class 8 ICSE Maths Solutions
Page-163
Choose the correct answer from the given four option (3 to 13)
Question 3. Two quantities x and y are said to be in inverse variation if
(a) xy = k
(b) x ∝ 1/y
(c) x = k/y
(d) all of these
Answer: all of these (d)
Question 4. If 12-metre wire costs ₹24, then the cost of 8-metre wire is
(a) ₹16
(b) ₹20
(c) ₹12
(d) ₹18
Answer: 16 (a)
Question 5. If 5 kg wheat cost ₹60, then cost of 20 kg wheat is
(a) ₹200
(b) ₹210
(c) ₹220
(d) ₹240
Answer: (d) ₹240
Question 6. If 10-men can complete a work in 6 days, then 30 men can complete the same work in
(a) 2 days
(b) 3 days
(c) 4 days
(d) 5 days
Answer: (a) 2 days
Question 7. A car travels 80 km in 5 litres of petrol, then the distance covered by it in 15 litres of petrol is
(a) 400 km
(b) 240 km
(c) 200 km
(d) 100 km
Answer : 240km distance (b)
Question 8. In a mess, there was enough food for 200 students for 20 days. If 50 new students joined them, then the food will last for
(a) 15 days
(b) 16 days
(c) 17 days
(d) 18 days
Answer : 16 days(b)
Question 9. 3 persons can paint a house in 8 days, then 4 persons can paint the same house in
(a) 5 days
(b) 6 days
(c) 7 days
(d) none of these
Answer : 6 days (b)
Question 10. A photograph of bacteria is enlarged 100000 times attains a length of 5 cm, then actual length of the bacteria is
(a) 0.00005 cm
(b) 5 × 10-5
(c) 5 × 10-7
(d) all of these
Answer : (d) all of these
Question 11. A tree 12 metre high casts a shadow of length 8 metre. Height of the tree whose shadow is 6 metre in length is
(a) 6 m
(b) 9 m
(c) 15 m
(d) none of these
Answer : (b) 9 m
Question 12. If 5 pipes can fill the tank in 1 hour, then 4 pipes will fill the tank in
(a) 75 minutes
(b) 70 minutes
(c) 65 minutes
(d) none of these
Answer : (a) 75 minutes
Question 13. A tap fills a tank in 8 hours and another tap at the bottom empties it in 10 hours. If both work together, the tank will be filled in
(a) 18 hours
(b) 24 hours
(c) 36 hours
(d) 40 hours
Answer : therefore the tank will be fillled in 40 hours.(d)
Direct and Inverse Variation MCQs
ML Aggarwal Class 8 ICSE Maths Solutions
Page-164
Higher Order Thinking Skill (HOTS)
Question 1. If 8 laborer’s can earn ₹9000 in 15 days, how many laborer’s can earn ₹6300 in 7 days?
Answer:
No.of labourers =8
No.of days=15
Rs earned =9000
Rs earned for 8 labourers in one day=9000/15
=600
Rs earned for 1 labourer in one day =600/8=75
No of days =7
Total Rs earned for labourers =6300
Rs earned for same number of labourers on one day=6300/7=900
Number of labourers =900/75 = 12
Question 2. Three typists working 8 hours a day type a document in 10 days. If only 2 typists are working, how many hours a day should they work to finish the job in 12 days?
Answer:
3 typist in 8 hours a day can type a document in 10 days
2 typists in 12 days will finish the work by working * hours a day .
more days, less hours therefore x = 8 * 3 * 10 = 240
So, 2x*12 = 240
24x = 240
x = 10
Therefore they will work for 10 hrs. a day.
— End of Direct and Inverse Variation MCQs Class 8 ICSE Maths Solutions :–
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