Quantitative Ap...

Four people A, B, C and D have a race around a circular ground in a 432 km race. Initially their speeds are 10 m/s, 20 m/s, 30 m/s and 40 m/s respectively. After every hour, their speeds vary such that A takes B’s speed, B takes D’s speed, C takes A’s speed and D takes C’s speed. Find the time taken by the winner to finish the race.

A two-digit number is such that if the digits are interchanged, the new number is equal to the square of half of the original number. What is the original number?

A man is facing west. He turns 45 degrees in the clockwise direction and then another 180 degrees in the same direction and then 270 degrees in the anticlockwise direction. Find which direction is he facing now?

If one pipe A can fill the tank in 10 minutes, then three pipes together, each of whose efficiency is one third of pipe A can fill the tank in:

If the side of a smaller square is 20% less than that of the bigger one, then by what percentage is the area of the bigger square more when compared to that of the smaller one?

A junior staff member went out to buy some stationery items for the office. He wanted to buy 20 box files, 10 transparent folders and 5 pen holders. A single file, folder and holder cost Rs.12, Rs.30 and Rs.20 respectively. The shop offered a discount on a dozen. Tempted by the discount, he bought 2 dozen box files and 1 dozen folders. He calculated that if he assumed the normal price for 10 folders, the two extra folders had cost him Rs.12 each. How much was the discount on the folders?

A number lock has three rings each having digits from 0 to 9. A numerical combination for the lock should be designed in such a way that the combination is of the form odd-even-odd or even-odd-even. In how many ways can the three rings of the lock be designed using digits 0-9? (0 being considered even)

The average (arithmetic mean) of six numbers is 24. If the sum of four of these numbers is 96, what is the average of the other 2 numbers?

B, C and D take part in a 1 km race. B and C start from one end and D from the other end in the opposite direction. B and D give C a start of 15 m. B and C finish the race at the same time. D covers 80 m in 1 minute. B’s speed is twice that of D’s speed. Find the distance between C and D at the end of 2 minutes.

A man saved Rs.551 when he was given two successive discounts of 10% and 5% on a TV set. What was the marked price of the set?