Marked Price=100

After discount price = 75

Profit is 25% so Cost price = 60

If they give 10% discount, then Price = 90

Profit % = (30/60) x 100 = 50%

4 legged chairs = 4 legged tables = number of workers.

3 legged stools = 4 legged almirahs

No. of stools = 1 + no. of workers

Total no. of legs = 585, Let the total number of workers= x.

2x + x × 4 + (x+1) 3 + (x+1) 4 = 585....x = 34.

Thus number of workers are 34.

Q.5. At 8:20 A.M., through how many degrees the hour hand of a clock moved since midnight?

Q.6. One morning at sunrise one hiker begins to walk up a hill on a narrow path that spirals around it from the bottom all the way up to the top. Of course, he walks with varying speed, taking breaks to rest and to eat his lunch. He reaches the top of the hill in the evening, spends the night in a tent, and then, in the morning, starts to walk back down along the same path. By the sunset he reaches the bottom of the hill. Note, that his speed on the way down is greater than his speed on the way up. Prove that there is a spot along the path that the hiker will occupy on both trips at precisely the same time of day.

Q.7. In a grid of numbers, which will be greatest: the greatest of the smallest numbers in each column, or the smallest of the greatest numbers in each row?

Q.8. A number can be constructed from any date of the year by adding the number of the month to the number of the day. For example: November 22nd would become the number 33, since November is the eleventh month, and 22 + 11 = 33. May 14 would become 19, and so on. How many different numbers can you make, using dates of the normal calendar?

Q.9 In a casino, Anurag bets on number 23 on a spinning wheel 12 times and loses each time. On the 13th spin he does a quick calculation and finds out that the number 17 had appeared three times in the last 12 spins and is therefore, unable to decide whether to bet on 23 or 17 in the 13th spin. Which number (23 or 17) will give him the best chance of winning and what are the odds of winning on the bet that he takes? (Wheel has numbers 1 to 36)

Since each of the spin is an independent event, thus the outcome of the 13th spin will not depend on the outcome of the previous spins. Hence, the odds of winning on the number that Anurag bets on, is 35 : 1 in each case.

Q.10. The LAZY express runs between P & Q. For the up as well as the down journey, the train leaves the starting station at 6 AM everyday & reaches its destination at 7 AM after 3 days. Mr. Jain once traveled by Lazy Express from Q to P. How many trains by the same name did he cross en route?