Aptitude Exam

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:

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?

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)?

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? 

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?

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?

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?

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?

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.

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?

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:

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?

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

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?

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.

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?

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. 

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?

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?

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?

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

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?

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?

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.

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 ?

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?

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

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?

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?