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Class 8 - Math Test - 2

1. If P and Q are two sets and its cardinal number n(P) = 25, n(Q) = 15, and n(P ∪ Q) = 30 then n(P ∩ Q) is ______?

2. If n(P − Q) = 21, n(Q − P) = 26 and n(P ∩ Q) = 9, find n(Q).

3. If set P = {a, b, c, d, e, f, g), Q = {a, d, e, f, g, h), then find P − Q.

4. If P = {a, b, c, d, e, f, g, h}, Q = {c, d, e, i, k, l, m, n} and R = {a, f, k, l, v, w}, then find P ∪ Q.

5. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90}, P = {10, 20, 30, 40, 50, 60} Q = {40, 60, 80, 90}, then find (P ∩ Q)'.

6. n(U) = 30, n(P') = 15, and n(P ∩ Q)' = 20 and n(Q) = 15, find n(Q − P) =?

7. Marked price of item is Rs. 600 and it sold for Rs. 520. What is the discount and discount %?

8. Find the single discount equivalent to two successive discounts of 35% and 7%.

9. When 10% G.S.T. is added on the purchase of a doormat of Rs. 150 then, find the buying price of doormat.

10. The man bought a refrigerator for Rs. 45350 including a GST of 12%. Find the price of refrigerator before GST was added.

11. A shopkeeper purchased a BP Machine for Rs. 800. He sells it at a discount of 20% and still makes a profit of 10%. Find its selling price and marked price.

12. The marked price of iron is Rs. 3000. A shopkeeper allows two successive discounts of 15% and 10%. Find the price which a customer must pay for the Refrigerator.

13. Shreyashi invested Rs 20000 in a company, she would be paid interest at 6% per annum compounded annually. Find the amount received by him at the end of 2 years and the interest for the 3rd year.

14. Calculate the difference between the compound interest and the simple interest on Rs 25000 in 3 years at 5% per annum.

15. Sobha borrowed from a bank Rs 2000 to purchase a sewing machine. If the rate of interest is 5% per annum, what is the compound interest that she has to pay after 2 years?

16. When simple interest on Rs 3.3 lakhs at 6.5% per annum is Rs 75075. Find the time ?

17. The length and breadth of a rectangular park are in the ratio 3 : 4. If the area of the park is 4800 square metres, find the cost of surrounding the park with a fence at the rate of Rs. 2.50 per metre.

18. The area of a trapezium is 400 m2, the distance between two parallel sides is 20 m and one of the parallel side is 15 m. Find the other parallel side.

19. A cylinder of maximum volume is cut from an iron cuboid of length 21 cm and cross-section a square of side 16 cm. Find the volume of the cylinder and the volume of the iron wasted.

20. The sum of the radius and height of a cylinder is 35 cm and the total surface area of the cylinder is 1760 cm2. Find the height and the volume of the cylinder.

If you want to download the above Sample question, please click below link.

Math Test - 2Download the pdf

Math Test - 1

Math Test - 2

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