Time Left: 00:50:00
1. Find the number of factors of 300 excluding 1 and itself.
2. The roots of the equation 3x^{2} - 12x + 10 = 0 are?
3. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
4. Which of the following is the greatest?
5. A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
6. A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
7. The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
8. Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
9. The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?
10. The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?
11. There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
12. In an examination 38% of students fail in English and 61% pass in Hindi and 23% fail in both. Find the actual failure percentage?
13. How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
14. What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
15. If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
16. 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
17. Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
18. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
19. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
20. 2 + [2 + {2 + (2 + (2 + 2^{3})}] = ?
21. Find the one which does not belong to that group ?
22. (332% of 2113) / 42 = ?
23. A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
24. Which of the following number is divisible by 4 and 9?
25. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
26. The average of five results is 46 and that of the first four is 45. The fifth result is?
27. ³√4900 + 123 = ? / 33.004
28. A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
29. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
30. The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
31. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
32. the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
33. A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
34. 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
35. The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?
36. Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
37. A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
38. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
39. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
40. Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
41. If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is:
42. Find the one which does not belong to that group ?
43. Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
44. A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
45. What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
46. if (x + y)/(2x + y) = 4/5, then find (2x + y)/(3x + y) ?
47. At what rate percent of simple interest will a sum of money double itself in 12 years?
48. What is the sum of all the prime numbers from 20 to 40?
49. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
50. The fourth proportional to 12, 14 and 18 is?