1. If n (P)=6 n(Q)=5, find minimum n(PUQ).

2. A room 3.6 m high contains 180m³ air. What is the area of its floor?

3. The area of a rectangular field is 320m², if its breath is 16m, find its perimeter.

4. In a survey of a community 45% of the people like Dashain, 65% like ‘Tihar’ and 19% dont like any festival. Find the percentage of people who like both festivals.

5. For two sets P and Q if n (P)=7 and n (Q)=8. Find maximum n (P∩Q)

6. The cost of 5 pen is Rs 450. What is the cost of 1 dozen pen.

7. A machine of 12,000 is depreciate at 10% per annum. Find the value of machine after one year.

8. If n (x)=17, n(y)=8, Find the minimum n(X∩Y)

9. If a +1/a=6 find the value of a²+ 1/a²?

10. The radius of a cylinder is x cm height y cm. Find its volume.

11. If A contains n elements, the no. of proper subsets of A are

12. A= {x:x is letter of the word ‘read’} B= {x:x is letter of the word ‘dear’} which one is true.

13. Find the circumference of circle of radius 7cm.

14. The cost of papering the wall at Rs 12.50 per sq. m is Rs 4040. If the sum of its length and breadth is 24m, find the height of the room.

15. The minimum calls are 100 and the minimum charge is Rs 175 for each extra call on ward is Rs 1.03. Find the charge for 506 calls.

16. 5/8 of a quintal cost Rs 2100. What will be the cost of 2/3 of a quintal?

17. 5 men or 7 boys can do a piece of work in 37 days. In what time 7 men and 5 boys do piece of work twice as great?

18. If 2/5ᵗʰ tons of rice cost Rs 9600. What will be the cost of 7/12 tons of rice?

19. In the survey of 60 students, 30 drink-milk, 25 drink curd and 10 drink both. Find the no. of students who drinks only one drink.

20. How many pieces of bricks 40cm X 20cm will be required to cover a square field of length 45cm.

21. The present population of a town is 30,000. What was the population of the town before 2 years ago if the annual growth rate 3%?

22. A man can do 2/3 of any work in 16 days. How long does he take to do the whole work?

23. In how many years the population of any town A will be double if the annual population growth rate is 2%?

24. If Sin2A=Cos4A find value of A.

25. Angular measurement for any angle of Sin and Cos are always less than one because

26. If the sphere haπs a volume of 9π/2 cm³, find radius of the sphere.

27. A and B can finish a piece of work in 20 days. B alone takes 36 days to finish it. In how many days, A alone can do it.