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Q1. A man jumped at a speed of 5 metres per second from a stationary boat and the boat moved off with the speed of 0.5 metre per second. How many times is the mass of the boat greater than that of the man?
Q2. In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2% took Mathematics. The total number of candidates was 2000. How many candidates took both Physics and Mathematics?
Q3. A point is selected at random inside a rectangle and perpendiculars are drawn on each side from the point. The sum of these perpendiculars is 24 cm. If the length of the rectangle is 3 times the width, the perimeter of the rectangle will be .....
Q4. If the product of two numbers is 320 and their ratio is 1:5, what is the difference between the squares of these two numbers?
Q5. A rectangular sheet aluminium foil measuring 5 cm by 10 cm is rolled into a cylinder of height 10 cm. If the cost of painting the cylinder is Rs.2 per sq.cm, then the cost of painting the outer surface of the cylinder will be
Q6. In a single throw of a pair of dice, what is the probability of getting a sum of 8?
Q7. The average salalry of skilled employees in a firm is Rs.520 and that of the unskilled employees is Rs.420. If the average salary of both the groups of employees is Rs.500, then the percentage of skilled employees in the firm is .....
Q8. The month incomes of Ramesh and Kamesh are in the ratio of 4:3. Their expenses are in the ratio of 3:2. If each saves Rs.600 at the end of the month, their monthly incomes respectively are (in rupees).....
Q9. In a class there are 18 boys who are over 160 cm tall. If these constitute three fourths of the boys and the total number of boys is two thirds of the total number of students in the class, what is the number of girls in the class?
Q10. A quantity is found to vary in the order, 9, 16, 25, 36, 49. What will be the next number in the order?
Q11. In a rectangle with one side 4 cms, twelve equal squares are kept. There are three rows, each containing four squares. There is no empty space in between adjacent squares. What is the area of each square?
Q12. Three circles are externally tangent to each other. Their radii are 2 inches, 3 inches and 4 inches. The centres of these circles are joined to form a triangle. The length of the largest side of the triangle is .....
Q13. In a wooden box there are 3 red and 4 black balls. If two balls are taken out simultaneously (without looking at them), then the probability of both the balls being red is ....
Q14. If A + B = 96 and A is half of B, then the value of B will be .....
Q15. A group of workers promise to complete a piece of work in 10 days, but five of them do not report for work. If it took the remaining workers 12 days to complete the work, then the number of workers originally hired was .....
Q16. Cyclist A starts down a road at a speed of 15 km/hr. Cyclist B starts 20 minutes later from the same spot at a speed of 20 km/hr. B will overtake A after .....
Q17. A trader loses 20% by selling an article for Rs.480. If he is to gain 20 percent, he should sell it for ...... rupees.
Q18. The minute arm of a clock is 10 cm long. The number of minutes taken by the tip of the arm to travel a length of 10 cm is nearly equal to .....
Q19. When a number X is added to 4/X, the result is 4. Therefore X is
Q20. A circle {C}, a square (S), and an equilateral triangle (T) have the same perimeter or circumference. The correct increasing order of their areas will be ......
Q21. A merchant wants a gross profit of 25 per cent on the sales. Thus the percentage he should add to the cost price will be .....
Q22. Which among the following has the largest perimeter?
Q23. The average age of a cricket team reduces by 2 when two senior players aged 32 and 30 are replaced by 2 youngsters of equal age. What is the age of these two new players?
Q24. A box contains 20 balls of which 8 are green, 7 are white and 5 are red. What is the minimum number of balls to be picked up without replacement to make sure that atleast one ball of each colour is drawn?
Q25. A person walks 10 km north from a point, then he moves 20 km south and subsequently he turns 20 km north. He again turns 20 km south and then moves 10 km east. How far is he from the starting point?
Q26. If n is an integer between 20 and 80, then any of the following could be n+7 except
Q27. A grocer bought 10 kg of apples for Rs.81 out of which one kg was found to be rotten. If he wishes to make a profit of 10%, at what rate per kg. he should sell it?
Q28. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, the number of revolutions made by the larger wheel will be.....
Q29. A person starts walking towards north frm a point and walks 3 km; then moves left and walks 2 km; again moves to his right and walks 1 km and finally moves to his right and walks 5 km. At what distance is he now from the starting point?
Q30. The expenses of A and B are in the ratio of 2:3. A sum of Rs.2800 is equally divided between them. If A saves Rs.600, then B saves...
Q31. The ratio of boys and girsl in sections A, B, C, and D of Class VI is respectively 7:5, 5:3, 3:2 and 2:1. If the number of students in each of the sections is equal, then maximum number of boys are enrolled in section ....
Q32. If a metal slab of size 1m X 20 cm X 1 cm is melted to another slab of 1mm thickness and 1 m width, then the length of the new slab thus formed will be ......
Q33. Two men A and B have different basic salaries but get equal emoluments. Their allowances are 65% and 80% of their basic salaries respectively. The ratio of their basic salaries is
Q34. India's contribution to Mathematics includes (1) Number System (2) Decimal System (3) Concept of Zero.
Q35. A car runs at a speed of 40 km per hour during the first half of the journey and at a speed of 60 km per hour during the second half of the journey. The average speed of the car is .....
Q36. If the diameter of a cycle wheel is 3 feet, then the number of complete rotations that the wheel will make in covering a distance of 30 feet is
Q37. Ram Singh gives half of his cash reserves to his wife, one half of the remaining to his son and one third of the remaining to his daughter. If his daughter's share is Rs.12,500 then the total cash reserves with Ram Singh was
Q38. In a binary system, 1010 is equivalent to .....
Q39. Two taps can fill a tank separately in 20 minutes and 30 minutes respectively. If both the taps are opened simultaneously, then the tank can be filled in .....
Q40. The dimensions of a rectangle are 51 m and 49 m respectively while side of a square is 50 m. Which of the following statements is correct?
Q41. Two trains, each being 120 metres long, are running on parallel tracks in opposite directions @ 40 metres/minute and 20 metres/minute respectively. How much time will they take to cross each other?
Q42. A class starts after lunclh at 1 p.m. and lasts till 3.52 p.m. Four periods are over during this interval. After every period, 4 minutes are allowed for going from one classroom to another. What is the exact duraction of each period held?
Q43. In which of the following shapes can a 1 kg plastic sheet be moulded so as to have minimum surface area?
Q44. A clock gains 5 minutes in one hour. Therefore, the angle traversed by the minute hand in one minute is ......
Q45. A walks from P to Q at the rate of 3 km/hr and from Q to P at the rate of 6 km/hr. What is his average speed?
Q46. A shop offers 10 per cent discount on the purchase of any article. It also offers an additional 12 per cent discount if the payment is made cash. If the original price of the item is Rs.250, then what is its actual price if paid in cash?
Q47. A cube with all the sides painted was divided into small cubes of equal measurement. The side of a small cube is exactly one fourth as that of the big cube. Therefore, the number of small cubes with only one side painted is .....
Q48. A man takes 6 km distance to go round a rectangular area. If the area of the rectangle is 2 km, find the difference between length and breadth.
Q49. There are 20 students with an average height of 105 cms in a class. Then 10 students with an average height of 120 cms join the class. What will be the average height of the class now?
Q50. A and B can do a piece of work in 4 days. If A can do it alone in 12 days, how much time B will take to finish it alone?
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