# Quantitative Aptitude

1. Speed of a speed –boat when moving in the direction perpendicular to the direction of the current is 16 km/hr, speed of the current is 3 km/hr. So the speed of the boat against the current will be (km/hr)? (10)
2. R and S start walking towards each other at 10 A.M. at speed of 3 km/hr and 4km/hr respectively. They were initially 17.5 km apart. At what time do they meet? (12:30 PM)
3. A shopkeeper marks up his goods to gain 35%.But he allows 10% discount for cash payment .His profit on the cash transaction therefore, in percentage, is: (21.5)
4. A can do 50% more as B can do in the same time .B alone can do a piece of work in 20 hours. A, with the help of B can finish the same work in how many hours? (8)
5. Profits of a business are distributed among three partners A, B and C in such a way that 4 times the amount received by A is equal to 6 times the amount received by B and 11 times the amount received by C. The ratio in which the three received the amount is: ((1/4) : (1/6) : (1/11))
6. A train covered a certain distance at uniform speed. If the train had been 6 km/h faster it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h. the train would have taken 6 hours more than the scheduled time. The length of the journey is: (760 km)
7. Students of a class are made to stand in rows. If 4 students are extra in each row, there would be 2 rows less. If 4 students are less in each row, there would be 4 more rows. The number of students in the class is: (96)
8. A part of monthly expenses of a family is constant and the remaining varies with the price of wheat. When the rate of wheat is Rs.250 a quintal, the total monthly expenses of the family are Rs.1000 and when it is Rs.240 a quintal, the total monthly expenses are Rs.980.Find the total monthly expenses of the family when the cost of wheat is Rs.350 a quintal. (Rs. 1200)
9. A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/h from the usual speed. Find its usual speed: (750 km/hr)
10. A metallic sheet is of rectangular shape with dimensions 48 cm x 36 cm. From each one of its corners, a square of 8 cm is cut off. An open box is made of the remaining sheet. Find the volume of the box.(5120 cm3)