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1. Find the one which does not belong to that group ?
2. The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?
3. A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
4. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
5. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
6. (830 + ? * 3 * 14 / 100) - (830 * 14 * 3 / 100) = 20.16
7. The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
8. What is the sum of all the prime numbers from 20 to 40?
9. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
10. A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
11. The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?
12. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
13. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
14. In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
15. A coin is tossed live times. What is the probability that there is at the least one tail?
16. Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
17. Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
18. The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
19. I. x^{2} + 5x + 6 = 0, II. y^{2} + 9y +14 = 0 to solve both the equations to find the values of x and y?
20. Three persons A, B and C divide a certain amount of money such that A's share is Rs. 4 less than half of the total amount, B's share is Rs. 8 more than half of what is left and finally C takes the rest which is Rs. 14. Find the total amount they initially had with them?
21. What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
22. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
23. There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
24. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
25. Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
26. The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
27. The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
28. If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
29. A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
30. (24 * 5 * 7 * 9) / ? = 216
31. How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
32. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
33. The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .
34. The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is:
35. The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
36. One root of the quadratic equation x^{2} - 12x + a = 0, is thrice the other. Find the value of a?
37. The difference between a number and its three-fifth is 50. What is the number?
38. A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
39. The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
40. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
41. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
42. A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
43. Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
44. An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
45. If (x + y)/(2x + y) = 4/5, then find (2x + y)/(3x + y).
46. Find the one which does not belong to that group ?
47. A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
48. A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
49.
50. At what rate percent on simple interest will a sum of money double itself in 30 years?