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Q1. There are three parallel straight lines. Two points A and B are marked on the first line, points C and D are marked on the second line and points E and F are marked on the third line. Each of these 6 points can move to any position on its respective straight line. In this context, consider the following statements? (1) The maximum number of triangles that can be drawn by joining these points is 18. (2) The minimum number of triangles that can be drawn by joining these points is zero. Which of the statements given above is/are correct?
Q2. A person has 4 coins each of different denomination. What is the number of different sums of money the person can form (using one or more coins at a time)?
Q3. How many numbers lie between 300 and 500 in which 4 comes only one time?
Q4. How many three digit numbers can be generated from 1,2,3,4,5,6,7,8,9 such that the digits are in ascending order?
Q5. While adding the first few continuous natural numbers, a andidate missed one of the numbers and wrote the answer as 177. What was the number missed?
Q6. Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
Q7. In an examination, there are three subjects A, B and C. A student has to pass in each subject. 20% students failed in A, 22% students failed in B, and 16% failed in C. The total number of students passing the whole examination lies between ....
Q8. Carpenter A can make a chair in 6 hours, carpenter B in 7 hours and carpenter C in 8 hours. If each carpenter works for 8 hours per day, how many chairs will be made in 21 days?
Q9. A person purchases 100 pens at a discount of 10%. The net amount of money spent by the person to purchase the pens is Rs.600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for 100 pens in order to earn a profit of 25%?
Q10. A school teacher has to select the maximum possible number of different groups of 3 students out of a total of 6 students. In how many groups any particular student will be included?
Q11. In an examination, 70% of the students passed in the Paper I, and 60% of the students passed in the Paper II, 15% of the students failed in both the papers while 270 students passed in both the papers. What is the total number of students?
Q12. What does "e; Baudhayan "e; theorem (Baudhayan Sulva Sutra) relate to?
Q13. The average salary of 100 employees in an office is Rs.16,000 per month. The management decided to raise salary of every employee by 5% but stopped a transport allowance of Rs.800 per month which was paid earlier to every employee. What will be the new average monthly salary?
Q14. A person has to completely put each of three liquids -- 403 litres of petrol, 465 litres of diesel and 496 litres of Mobil oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required?
Q15. Amit starts from Point A and walks to another point B, and then returns from B to A by his car and thus takes a total time of 6 hours and 45 minutes. If he had driven both ways in his car, he would have taken 2 hours less. How long would it take for him to walk both ways?
Q16. A and B can complete work together in 5 days. If A works at twice his speed and B at half of his speed, this work can be finished in 4 days. How many days would it take for A alone to complete the job?
Q17. If all the numbers from 501 to 700 are written, what is the total number of times does the digit 6 appear?
Q18. How many numbers are there in all from 6000 to 6999 (both inclusive) having atleast one of their digits repeated?
Q19. Each of 2 women and 3 men is to occupy one chair out of 8 chairs, each of which is numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then the 3 men would occupy any three chairs out of the remaining 6 chairs. What is the maximum number of different ways in which this can be done?
Q20. There are 8 equidistant points .. A,B,C,D,E,F,G and H in the clockwise direction on the periphery of a circle. In a time interval t, a person reaches from A to C with uniform motion while another person reaches the point E from the Point B during same time interval with uniform motion. Both the persons move in the same direction along the circumference of the circle and start at the same instant. How much time after the start, will the two persons meet each other?
Q21. An equilateral triangular plate is to be cut into n number of identical small equilateral triangular plates. Which one of the following can be possible value of 'n'?
Q22. Ten identical particles are moving randomly inside a closed box. What is the probability that at any tiven point of time all the ten particles will be lying in the same half of the box?
Q23. Left pan of a faulty balance weighs 100 gram more than its right pan. A shop keeper keeps the weight measure in the left pan while buying goods but keeps it in the right pan while selling his goods. He uses only 1 kg weight measure. If he sells his at the listed cost price what is his gain?
Q24. Aryan runs at a speed of 40 metre/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metre/minute. Rahul's dog runs at a speed of 60 metere/minute and starts along with Rahul. The dog reaches Aryan and then comes back to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?
Q25. Two cars X and Y start from two places A and B respectively which are 700 Km apart at 9 a.m. Both the cars run at an average speed of 60 km/hr. Car X stops at 10 am and again starts at 11 am, while the other car Y continues to run without stopping. When do the two cars cross each other
Q26. A and B start from the same point and in the same direction at 7 a.m.to walk around a rectangular field of 400 m X 300 m. A and B walk at the rate of 3 km/hr and a 2.5 km/hr respectively. How many times shall they cross each other if they continue to walk till 12:30 PM?
Q27. 50 men or 80 women can finish a job in 50 days. A contractor deploys 40 men and 48 women for this work, but after every duration of 10 days, 5 men and 8 women are removed till the work is completed. The work is completed in .....
Q28. Three students are picked at random from a school having a total of 1000 students. The probability that these three students will have identical date and month of their birth is .....
Q29. A car travesl the first one third of a certain distance with a speed of 10 Km/hr, the next one third distance with a speed of 20 km/hr and the last one third distance with a speed of 60 km/hr. The average speed of the car for the whole journey is
Q30. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 AM. They shall first cross each other at
Q31. Four different candles which can last for 5, 4, 3 and 2 hours respectively are lit in a room at the same instant and allowed to burn till such time that the three candles in the room get extinguished. The cost of burning each one of these candles is 75 paise per hour. The cost involved is .....
Q32. Three bells toll at intervals of 9, 12 and 15 minutes respectively. All the three begin to toll at 8 AM. At what time will they first toll togeether again?
Q33. Total time taken by a person in going to a place by walking and returning on cycle is 5 Hrs and 45 minutes. He would have gained 2 hours by cycling both ways. The time taken by him to walk both ways is .......
Q34. A and B are two fixed points in a field. A cyclist "e;C"e; moves such that angle ACB is always a right angle. In this context, which one of the following statements is correct?
Q35. A solid cube just gets completely immersed in wter when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of eacha side of the cube?
Q36. A trader fixed the price of n article in such a way that by giving a rebate of 10% on the price fixed, he made a profit of 15%. If the cost of the article is Rs.72, then the price fixed on it is ....
Q37. Consider the volumes of the following: (1) A parallelopiped of length 5 cm, breadth 3 cm and height 4 cm. (2) A cube of each side 4 cm. (3) A cylinder of radius 3 cm and alength 3 cm. (4) A sphere of radius 3 cm. The order of volumes of these in the decreasing order is ....
Q38. A train of length 150 metres, moving at a speed of 90 Km/hr, can cross a 200 metre bridge in ...
Q39. Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 2 km/hr faster than the second lady and reaches B one hour before the second lady reaches A. The two cities A and B are 24 km apart. How many kilometres does each lady travel in one hour?
Q40. When the time in the wall clock is 3.25 p.m., the acute angle between the hours hand and the minutes hand is ......
Q41. Anand started a business by investing Rs.30000. Rahul joined the business after some time and invested Rs.20000. At the end of the year, the profit was divided in the ratio of 2:1. After how many months did Rahun join the business?
Q42. A hollow sphere of radius R, a hollow cube of side R, and a thin circulate place of radius R, made up of the same material, are all heated to 20 degreeC above room temperature. When left to cool in the room, which of them will reach the room temperature first?
Q43. In a company, 60% of the employees are men. Of these, 40% are drawing more than Rs.50000 per year. If 36% of the total employees of the company draw more than Rs.50000 per year, then what is the percentage among women who are drawing less than Rs.50000 per year?
Q44. A bus is moving with a speed of 30 km/hr ahead of a cr with a speed of 50 km/hr. How many kilometres apart are they if it takes 15 minutes for the car to catch up with the bus.
Q45. A person travels from X to Y at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips?
Q46. A conveyer belt delivers baggage at the rate of 3 tons in 5 minutes, and a second conveyor belt delivers baggage at the rate of 1 ton in 2 minutes. How much time will it take to get 30 tons of baggage delivered by using both the conveyer belts?
Q47. Water is filled in a container in such a manner that its volume doubles after every five minutes. If it takes 30 minutes for the container to be full, then the container will be one fourth full in .....
Q48. A city has a population of 3,00,000 out of which 1,20,000 are males. 50% of the population is literate. If 70% of the males are literate, then the number of literate females is ......
Q49. In a survey, it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone. If 55% owned both a car and a mobile phone, then what percent of those surveyed owned a car or a mobile phone or both?
Q50. In 1930, a person's age was 8 times that of his son. In 1938, the father's age became ten times that of his son's age in 1930. The ages of the son and the father respectively in 1940 were
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