1. If a number is divided by 15 it leaves a remainder 7. If trice the number is divided by 5 then what will the remainder be?

2. If A is an integer, which of the following expressions must be even?

3. Sum of first fifteen terms of series 3+19+35+… is

4. If a: b = 7: 5, b: c = 9: 11, find a: b: c?

5. The roots of quadratic equation 5x² – 4x + 5 = 0 are

6. The average age of three boys is 15 years. If their ages are in ratio 3 : 5 : 7, the age of the youngest boy is

7. A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match

8. Find the value of P for which the point (–1, 3), (2, p) and (5, –1) are collinear.

9. A triangle with the angle of 90 ° is called

10. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

11. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

12. In an examination 38% of students fail in English and 61% pass in Nepali and 23% fail in both. Find the actual failure percentage?

13. After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

14. The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?

15. The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?

16. In a 300 m race A beats B by 22.5 m or 6 seconds. B’s time over the course is__________?

17. Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?

18. If 12 men do a work in 80 days, in how many days will 16 men do it?

19. How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

20. One card is drawn from a well shuffled deck of 52 playing cards. The probability of getting a non-face card is

21. $\frac{2562}{\sqrt{x}}=\mathrm{25.62<}$

22. If REASON is coded as 5 and BELIEVED as 7, then what is the code for GOVERNMENT?

23. Simplify ⁵∕₂ ÷ ¹ ∕ _x

24. By solving inequality a - 7 < 5 - 3a, answer will be

25. A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is :

26. The area of a square is 69696 cm square. What will be its diagonal ?

27. In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then C is

28. (A ∪ B) ∪ C =

29. A set with no element in it is known as

30. Find the number of ways the letters of the word ‘RUBBER can be arranged?

31. Sham and Ram invested in a business and gained a profit which was divided in the ratio of 2 : 3. If Sham invested Rs. 40,000, then what was the amount invested by Ram?

32. Find the odd number
9, 16, 25, 36, 125, 169, 196, 225

33. Find the odd number
121, 275, 396, 385, 891, 932

34. Find the angle between the hour hand and the minute hand of a clock when the time is 5:45.

35. If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?

36. 217 x 217 + 183 x 183 = ?

37. The arrangement of x/2+y/3 =4 and x+y = 10 are given by:

38. In the event that 3x-5y = 5 and x/x+y = 5/7, then (x-y) =?

39. The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?

40. What is the are of an equilateral triangle of side 16 cm?

41. The length of each side of an equilateral triangle having an area of 4√3 cm² is?

42. In what time will Rs 1000 become Rs 1331 at 10% per annum compounded annually?

43. Find the L.C.M. of 72, 108 and 2100.

44. The surface area of a cube is 216m³. Find its volume.

45. A sum of mney amount to Rs 4200 in 4 years and to Rs 4680 in years at simple interest. The rate of interest per annum is.

46. Out of 100 Oranges, 20% were eaten and 20% of the remaining were spoiled. Find the number of Oranges left?

47. 13% of a number is 117. Find the number.