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#### Direct and Inverse Proportion Important Questions

7th Standard EM

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. If the cost of 3 books is Rs.90, then find the cost of 12 books.

(a)

Rs.300

(b)

Rs.320

(c)

Rs.360

(d)

Rs.400

2. 35 cycles were produced in 5 days by a company then______ cycles will be produced in 21 days

(a)

150

(b)

70

(c)

100

(d)

147

3. An aircraft can accommodate 280 people in 2 trips. It can take ______trips to take 1400 people.

(a)

8

(b)

10

(c)

9

(d)

12

4. 12 cows can graze a field for 10 days. 20 cows can graze the same field for_____ days.

(a)

15

(b)

18

(c)

6

(d)

8

5. 4 typists are employed to complete a work in 12 days. If two more typists are added, they will finish the same work in _______ days.

(a)

7

(b)

8

(c)

9

(d)

10

6. 5 x 1 = 5
7. If the cost of 8 apples is  56 then the cost of 12 apples is _____________.

()

Rs.84

8. A car travels 60 km with 3 liters of petrol. If the car has to cover the distance of 200 km, it requires _______ liters of petrol.

()

10 litres

9. If a machine in a cool drinks factory fills 600 bottles in 5 hrs, then it will fill ______ bottles in 3 hours.

()

360

10. 16 taps can fill a petrol tank in 18 minutes. The time taken for 9 taps to fill the same tank will be _______ minutes.

()

32

11. If 40 workers can do a project work in 8 days, then_______ workers can do it in 4 days.

()

80

12. 3 x 1 = 3
13. Distance travelled by a bus and time taken are in direct proportion.

(a) True
(b) False
14. Number of students in a hostel and consumption of food are not in direct proportion.

(a) True
(b) False
15. If Mallika walks 1 km in 20 minutes, then she can cover 3 km in 1 hour.

(a) True
(b) False
16. 9 x 2 = 18
17. A group of 21 students paid Rs.840 as the entry fee for a magic show. How many students entered the magic show if the total amount paid was Rs.1,680?

18. A postman can sort out 738 letters in 6 hours. How many letters can be sorted in 9 hours?

19. If 30 men can reap a field in 15 days, then in how many days can 20 men reap the same field? (using unitary method)

20. 6 pumps are required to fill a water sump in 1 hr 30 minutes. What will be the time taken to fill the sump if one pump is switched off?

21. Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last?

22. It takes 120 minutes to weed a garden with 6 gardeners If the same work is to be done in 30 minutes, how many more gardeners are needed?

23. If C = kd,
(i) what is the relation between C and d?
(ii) find k when C = 30 and d = 6
(iii) find C, when d = 10

24. If the cost of 6 cans of juice is Rs.210, then what will be the cost of 4 cans of juice?

25. Cost of 105 notebooks is Rs.2415. How many notebooks can be bought for Rs.1863?

26. 3 x 3 = 9
27. If 6 children shared 24 pencils equally, then how many pencils are required for 18 children?

28. Anbu bought 2 notebooks for  24. How much money will be needed to buy 9 such notebooks?

29. If x and y vary inversely as each other and x = 10 when y = 6. Find y when x = 15.

30. 2 x 5 = 10
31. 60 workers can spin a bale of cotton in 7 days. In how many days will 42 workers spin it?

32. Sum a weaves 25 baskets in 35 days. In how many days will she weave 110 baskets?