1. The current price of a machine is Rs.15000. If its price depreciated at the rate of 10% per year, what will be the price of the machine after 2 years?

2. If a=2, b=3 and c=-1, what is the value of aᵇbᶜcᵃ?

3. If n(P)=16 and n(R)=21, what is the maximum value of n(P∩R)?

4. A and B working together can complete a piece of work in 7 1/5 days. If B alone can complete the same work in 18 days, in how many days A alone can complete it?

5. Which one is the H.C.F. of X³-Y³ and 2x²-xy-y²?

6. The market price of an article is Rs.1800. What will be it’s selling price including 10% VAT?

7. If √x+2=2, what is the value of x?

8. Which is the Heron’s formula, to find the area of triangle?

9. Five times the square of a natural number is 80. What is the number?

10. A card is drawn randomly from a well shuffled pack of 52 cards. What is the probability of getting a queen or dub?

11. What is the radius of a sphere whose surface area is 16π cm²?

12. M and N are subsets of U. If n(∪)=30, n(M)=17, n(N)=19 and n(M∪N)=6, what is the value of n(M∩N)?

13. Price of a watch is Rs.4000. If the price is discounted by 200, what is the discount percentage?

14. What is the area of a triangle whose each side is equal to 2x cm?

15. The market price of a calculator is Rs.460. What is the selling price of it if 10% discount is allowed?

16. At what rate percent compound interest will Rs.625 amount to Rs.729 in 2 years?

17. From the cards numbered from 5 to 30, a card is drawn at random. What is the probability of the card so drawn is to be a square number card?

18. If arithmetic mean of the data 6,5,x,8,3,2 and 7 is 5, what is value of x?

19. If 8ˣ=1/64, what is the value of x?

20. When a number is increased by 25%, it becomes 60. What is the number?

21. 2x, (3×1), (3x+5), (5x+7), 55, 60 and 68 are in ascending order. If the first quartile of the given data is 20, what will be the value of x?

22. What is the volume of a cylinder if its height and radius of the base are10cm and 7cm respectively.

23. What is the total surface area of a hemisphere having the radius of7 cm?

24. A watch bought at Rs.800 and sold at Rs.920. What is the gain in percent?