1. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

2. If it takes five minutes to boil one egg, how long will it take to boil four eggs?

3. The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose?

4. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.?

5. Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?

6. Find the least value of 3x + 4y if x2y3 = 6.?

7. Can you find out what day of the week was January 12, 1979?

8. A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?

9. From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?

10. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minuteeach, how soon will the tank be filled?

11. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

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1) Ans. Eight

2) Ans. Five minutes

3) Ans. 32 8/11 minutes

4) Ans. x=3/2 or -3 and y =3 or- 3/2

5) Ans. 20%

6) Ans. 10

7) Ans. Friday

8) Ans. 1700 mens

9) Ans. 3720

10) Ans. 167 minutes

11) Ans. 3hours 20 minutes