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76 5 4 3 2 1 0 -----------21

last team is written as 0 matches becos this team has already playedwith all other teams-

hence sum of matches =6+5+4+3+2+1=21

which iscorrect only if no of teams =7

2. Qns : A businessman advertised two job openings for peons in his firm. Two men applied andthe businessman decided to engage both or them. He offered them a salary of Rs. 2,000 per year;

Rs. 1,000 to be paid every half year, with a promise that their salary would be raised if their work

 proved satisfactory. They could have a raise of Rs. 300 per year, or if they preferred, Rs. 100each half year. The two men thought for a few moments and then one of them expressed his wish

to take the raise at Rs 300 per year, while the other man said he would accept the half yearly

increase of Rs. 100. Between the two men, who was the gainer, and by how much?

Ans: 100 half yearly

At a raise of Rs. 300 per year; .1st year Rs. 1000 + Rs. 1000 = Rs. 2000

2nd year Rs. 1150 + Rs. 1150 =? Rs. 2300

3rd year Rs. 1300 -f Rs. 1300 = Rs. 2600

4th year Rs. 1450 + Rs. 1450 = Rs. 2900

At a raise of Rs. 100 each half year:

1st year Rs. 1000 + R». 1100 = Rs. 2100

2nd year Rs. 1200 + Rs. 1300 = Rs. 2500

3rd year Rs. 1400 + Rs. 1500 = Rs. 2900

4th year Rs. 1600 + Rs. 1700 = Rs. 3300

Obviously the second proposition is much more

3. Qns: A box contains 12 marbles of three different colors green, yellow and blue — 4 each. If

you were to close your eyes and pick them at random, how many marbles must you take out to

 be sure that there are at least two of one color among the marbles are picked out

Ans: In the first three pickings you may get 1 of each color, on the 4th pick there must be at least

two of one color. Therefore the answer is 4.

4. There are two numbers with the difference of 3 between them and the difference of their

squares is 51.

Can you find the numbers?

Ans: let's assume X is one of the numbers and Y the

X^2-Y^2 = 51

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