# Aptitude Exam

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1. In a class, the number of girls is 30% more than that of the boys. The strength of the class is 92. If 8 more girls are admitted to the class, the ratio of the number of boys to that of the girls is ?
2.

Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes be opened in order at 10, 11 and 1 p.m. respectively, the tank will be emptied at

3.

A profit of 30% is made on goods when a discount of 20% is given on the marked price.What profit per cent will be made when a discount of 30% is given on the marked price?

4. A and B are two partners and they have invested Rs. 54,000 and Rs. 90,000 in business. After one year A received Rs 1200 as his share of profit out of total profit of Rs. 4200 including his certain commission on total profit since he is a working partner and rest profit is received by B. What is the commission of A as a percentage of the total profit?
5. If A saves 25% of his income. What is the ratio of the savings of A, B and C respectively?
6. A number, x equals 80% of the average of 5, 7, 14 and a number y. If the average of x and y is 26, then value of y is
7. In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is :
8.

Fresh grapes contain 80% water, while dry grapes contain 10% water. If the weight of dry grapes is 500 kg, then what is its total weight (in kg) when it is fresh?

9.

An army lost 10% its men in war, 10% of the remaining due to diseases died and 10% of the rest were disabled. Thus, the strength was reduced to 729000 active men. Find the original strength.

10.

The average age of a family of 6 members is 20 years. If the age of the youngest member be 5 years, the average age of the family at the birth of the youngest member was?

11.

A Man started his journey, he travelled 400 km, at the speed of 40 km/hr then he went to another 300 km, at the speed of 20 km/hr. Further he went 600 km, at the speed of 30 km/hr. The average speed of a Man is:

12. A Student obtained equal marks in Maths and Science. The ratio of marks in Science and Social is 2:3 and the ratio of marks in Maths and English is 1 : 2. If he has scored an aggregate of 55% marks. The maximum marks in each subject is same. In how many subjects did he score greater than 50% marks?
13.

Two candles of the same height are lighted at the same time. The first is consumed in 8 hrs and second in 4 hrs. Assuming that each candle burns at a constant rate. In how many hour after being lighted, the rate between the first and second candles become 3 : 1?

14. In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is :
15. A Salesman charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay’s the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of x and y is:
16. Find the average of first 85 natural numbers.
17. Rs 3440 is divided, among A, B, C and D such that B’s share is 6/11th of A’s; C’s share is 1/4th of B’s and D has 2/5th as much as B and C together. Find A’s share
18. On a road three consecutive traffic lights change after 40, 48 and 56 seconds respectively. If the lights are first switched on at 10:00 AM sharp, at what time will they change simultaneously?
19.

The ratio between the length and the breadth of a rectangular park is 4 : 1. If a man cycling along the boundary of the park at the speed of 15 km/hr completes one round in 10 minutes, then the length of the park (in sq. m) is?

20.

A shopkeeper sold a T.V. set for Rs. 17,940 with a discount of 8% and earned a profit of 19.6% . What would have been the percentage of earned if no discount was offered ?

21. The average temperature for Wednesday, Thursday and Friday was 42 Deg c. The average for Thursday, Friday and Saturday was 43 Deg c. If temperature on Saturday was 44 Deg c, what was the temperature on Wednesday?
22.

A tricolor flag is to be formed having three adjacent strips of three different colors chosen from six different colors. How many different colored flags can be formed with different design in which all the three strips are always in horizontal positions?

23.

Speed of a man in still water is 6 km/hr and the river is running at 4km/hr. The total time taken to go to a place and come back is 18 hours. What is the distance traveled?

24.

A Bike travels the first 1/4 of a certain distance with speed of 10km/hr ,the second 1/4 distance with a speed of 20km/hr , the third 1/4 distance with a speed of 30km/hr and the last 1/4 distance with a speed of 40km /hr the average speed of the bike for whole journey is

25. Pipes A and B can fill a tank in 10 and 12 hours respectively. Pipe C can empty it in 20 hours. If all the three pipes are opened together, then the tank will be filled in (in hours):
26. When 20 is added to the numerator and denominator, then the new ratio of numerator to denominator becomes 7:8. What is the original ratio?
27.

Four cards are drawn at random from a well-shuffled deck of cards. What is the probability of getting all the four cards of same terms?

28.

A boat goes 24 km upstream and 54 km downstream in 6 hrs. In 8 hrs, it can go 36 km upstream and 48 km downstream. The speed (in km/hr) of the boat in still water is:

29.

In an exam out of 1800 students, 65% boys and 80% girls are passed. If total pass percentage was 75% , how many girls appeared in the exam and how many girls failed?

30. Sharma takes 5 hours to type 5 pages while Swetha takes 4 hours to type 80 pages. How much time will they take working together on different computer to type an assignment of 150 pages.
31.

Weights of two friends P and Q are in the ratio 4:5. If P’s weight is increased by 10% and total weight of P and Q become 82.8 kg, with an increases of 15%. By what percent did the weight of Q has to be increased?

32.

The distance between two cities A and B is 330km. A train starts from A at 7am. and travels towards B at 60 km/hr. Another train starts from B at 8am. and travels towards A at 75 km/hr. At what time do they meet?

33.

The number of students in 3 classes are in the ratio 4:5:6. If 15 students are increased in each class this ratio changes to 11:13:15. The total number of students in the three classes in the beginning was

34.

The value of the diamond is in proportion to the square of its weight A diamond was broken into 3 parts in the ratio of 3: 4: 5, thus a loss of Rs.9.4 lakh is incurred. What is the actual value of diamond (in lakhs)?

35.

The ratio of the monthly salaries of P and Q is in the ratio 10 : 13 and that of Q and R is in the ratio 13 : 14. Find the monthly income (in Rupees) of R if the total of their monthly salary is Rs 1,85,000.

36.

3 small pumps and a large pump are filling a tank. Each of the three small pumps works at 2/3 rd the rate of the large pump. If all 4 pumps work at the same time, they should fill the tank in what fraction of the time that it would have taken the large pump alone?

37.

An Employer pays Rs. 15 for each day a worker works, and forfeits Rs. 5 for each day he is idle. At the end of 40 days, a worker gets Rs. 160. For how many days did the worker remain idle?

38. X takes 4 days to complete one-third of a job. Y takes 3 days to complete one-sixth of the job and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.
39. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?
40. If a 36 inches long strip cloth shrinks to 33 inches after being washed, how many inches long will the same strip remain after washing if it were 48 inches long?
41.

A, B and C have 40, x and y balls with them respectively. If B gives 20 balls to A, he is left with half as many balls as C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is the ratio of x to y?

42.

There are 7 men and 8 women. In how many ways a committee of 4 members can be made such that a particular woman is always included.

43. A boat takes 90 minutes less to travel 36 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 km/h, the speed of the stream is:
44.

An error 3% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is?

45.

A shopkeeper marks up the price of his product by 20%. If he increases the discount from 5% to 10% ,the proﬁt would decrease by Rs 21. How much proﬁt/ loss would he earn if he gives a discount of 20% on the marked price?

46. Two pipes A and B when working alone can fill a tank in 36 min. and 45 min. respectively. A waste pipe C can empty the tank in 30 min. First A and B are opened. After 7 min., C is also opened. In how much time (in mins) will the tank be full ?
47.

A boat takes 30 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 5 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?

48.

If 12 mechanic working 4hours a day can repair 360 cars in 80 days, then no. Of cars repaired by 16 mechanic in 24 days each working 8hours in a day.

49.

A boat takes 150 min less to travel 40 km downstream than to travel the same distance upstream. The speed of the stream is 4 km/hr. What is the downstream speed?

50. Find the least number of five digits which when divided by 40, 60, and 75, leave remainders 31, 51 and 66 respectively.
51. Two trains P and Q are separated by 220 km on a straight line. One train starts at 8 am from one station A towards B at 40 km/hr and another train starts from B towards A at 9 am at 60 km/hr. At what time will both train will meet?