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A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?

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A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?

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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?

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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?

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

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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?

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

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What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?

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If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity.

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A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase involume?

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With just six weights and a balance scale, you can weigh any unit number of kgs from 1 to 364. What could be the six weights?

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Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage a son was born who died four years before his father at half his final age. How old is Diophantus?

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If time at this moment is 9 P.M., what will be the time 23999999992 hours later?

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How big will an angle of one and a half degree look through a glass that magnifies things three times?

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Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.

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I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km

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One of Mr. Horton,his wife,their son,and Mr. Horton's mother is a doctor and another is a lawyer.a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.b)If the doctor is a woman, then the doctor and the lawyer are blood relatives.c)If the lawyer is a man, then the doctor is a man.Whose occupation you know?

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One of Mr. Horton,his wife,their son,and Mr. Horton's mother is a doctor and another is a lawyer.a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.b)If the doctor is a woman, then the doctor and the lawyer are blood relatives.c)If the lawyer is a man, then the doctor is a man.Whose occupation you know?

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Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament.Of the three games played:a)In only the first game werethe two players married to each other.b)The men won two games and the women won one game.c)The Ayes won more games than the Bees.d)Anyone who lost game did not play the subsequent game.Who did not lose a game?

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Three piles of chipspile I consists one chip, pile II consists of chips, and pile III consists of three chipsare to be used in game played by Anita and Brinda.The game requires:a)That each player in turn take only one chip or all chips from just one pile.b)That the player who has to take the last chip loses.c)That Anita now have her turn.From which pile should Anita draw in order to win?

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