1. A number, when divided by 45, leaves a remainder of 30. If the number is divided by 5, what should the remainder be?

2. If n is an even integer, which of the following must be an odd integer?

3. What is the sum of even numbers from 1 to 50?

4. If two time of A is equal to three times of B and also equal to four times of C. Then A:B:C is

5. An expression of the form ax² + bx + x is called

6. The average marks of four subjects is 120. If 33 was misread as 13 during the calculation, what will be the correct average?

7. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

8. Which graph is parallel to x-axis?

9. A triangle that has 3 equal sides and 3 equal angles is known as

10. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other

11. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?

12. A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?

13. The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

14. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?

15. By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?

16. If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:_________?

17. A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?

18. A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?

19. A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

20. The probability of getting a spade card from a well shuffled deck of 52 cards is

21. $\sqrt{248+\sqrt{64}}$

22. In a certain code, if BAD is written as YZW and SAID is written as HZRW, then LIFE will be written as:

23. Simplify 15ax² ⁄ 5x

24. Inequality

25. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?

26. The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :

27. If a = 9.7 cm, angle B = 64° and c = 8.8 cm then area of Δ ABC is

28. If P = {a,b,c,d,e}, Q = {a,c,e,d,t} and R = { t,d,c,b,e}, then the intersection of P, Q and R is

29. If X = {1, 2, 3, 4, 5} and Y = {2, 4, 5, 6, 8} then X - Y equals to

30. Find in how many different ways, the letters of the word ‘LEADING’ can be arranged in such way that the vowels always come together?

31. John, Tyson and Mike started a business by investing Rs.1,00,000, Rs. 1,50,000 and Rs. 1,75,000 respectively. Find the share of Mike, out of an annual profit of Rs. 46,000.

32. Find the missing number
15, 33, 69, 141, ___, 573, 1149

33. Finding the missing number
6, 24, ___ , 120, 210, 336

34. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

35. If an object travels at five feet per second, how many feet does it travel in one hour?

36. If 3^x-y = 27, 3^x+y = 243 then find the value of x

37. If 3x+7y= 75 and 5x-5y= 25, then what is the estimation of x+y?

38. On the off chance that 4x+6y =32 and 4x-2y= 4, then 8y =?

39. The value of the variable in the equation 5(-7x + 3) = x - 21 is _____________

40. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?

41. The altitude of an equilateral triangle of side 2√3 cm is?

42. What is the area of square field whose side of length 15 m?

43. What is the area of a square field whose diagonal of length 20 m?

44. Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?

45. Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.

46. Find the volume and the surface area of a surface of diameter 14 cm

47. How much simple interest will Rs 3000 earn in 18 month at 5% per annum?

48. Find 25% of 75 kg.

49. There are 50 red cars and 20 blue cars in a toy store. If the total number of toys in the store is 80, calculate the percentage of blue cars.