26. What is the remainder when 2468 is divided by 37?
27. A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?
28. Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?
29. At 20% discount the selling price of an article is Rs 2400, what is the selling price (in Rs) if the discount is 32.5%?
30. What is the fourth proportional to 24, 120 and 22?
31. What is the average of all numbers between 8 and 74 which are divisible by 7?
32. A trader had 1200 kgs of rice. He sold a part of it at 5% profit and the rest at 11% profit, so that he made a total profit of 7%. How much (in kg) wheat did he sell at 5% profit?
33. 20% of a = b, then b% of 20 is the same as _________ of a.
34. After excluding stoppages, the speed of a bus is 60 kmph and after including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
35. The simple and compound interest that can be earned in two years at the same rate is Rs 1,000 and Rs 1,040 respectively. What is the rate (percent per annum) of interest?
36. If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?
37. If a - b = 2 and ab = 24, then what is the value of $$a^{3} - b^{3}$$?
38. Sum of twice a fraction and its reciprocal is 17/6. What is the fraction?
39. The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?
40. What is the reflection of the point (4, 7) in the line y = -1?
41. What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?
42. Slope of the line AB is -2/3. Co-ordinates of points A and B are (x , -3) and (5 , 2) respectively. What is the value of x?
43. D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?
44. What is the value of Cot 60°- Cos 45° ?
45. ∆ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm?
46. If Tan θ = 9/40, then Sec θ = ?
47.
There are six taxi companies (A, B, C, D, E, F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following questions.
Which taxi company has more taxis than A but less than D?
48. If 30 taxis quit company B and joined company D then D will have how many more taxis than C?
49. Even if A and C decide to merge, still D will have how many more taxis (in %) than the merged A and C entity?
50. If each taxi on an average runs 100 kms every day and if fuel cost is Rs 3 per km, then all these taxis spend how much (in Rs.) on fuel every day?
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Which taxi company has more taxis than A but less than D?
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