IITM General Question Paper

41. x + 4y
--------- relation between x and y is x/2y = 3/2 ie x = 3y find the ratio
x-2y

42. On an item a company gave 25% discount then they get 25% profit if it gives 10% discount then what is the profit?

43. A person buys 1 liter milk for 12 Rs and to it he adds 1/3 of water and sells the milk at the rate of 15 Rs per liter then what is the % of profit

44. if a boat travels 148 kms in 8 hrs in down stream and 150 Kms in 20 hrs then what is the speed of the stream.

45. A can do a piece of work in 3 days, B can do thrice work in 8 days and c can do 5 times work in 15 days then in how
many days all three together can complete the work.

46. In 1978, a kg of paper was sold at Rs25/-. I f the paper rate increases at 1.5% more than inflation rate which is of 6.5% a year , then what wilbe the cost of a kg of paper after 2 years?

47. In A,B,C are having some marbles with each of them. A has given B and C the same number of marbles they already have to each of them. then, B gave C and A the same no. of marbles they have, then C gave A and B the same no. of marbles they have. At the end A,B,and C have equal no. of marbles.
(i) If x,y,z are the marbles initially with A,B,C respectively. then the no of marbles B have at the end
(a) 2(x-y-z) (b) 4(x-y-z) etc.

(ii)If the total no. of marbles are 72, then the no. of marbles with A at the starting
a. 20 b. 30 c. 32

48. If a car starts from A towards B with some velocity due to some problem in the engine after travelling 30km.If the car goes with 4/5 th of its actuval velocity the car reaches B 45min later to the actual time. If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the actual time , what is the initial velocity of car and
what is the distance between A and B in km

49. A person has Rs 100/- in his pocket, he can as 25 pencils or 15 books. He kept 15% of the money for travelling expenses and purchased 5 pencils. So how many books he can purchase with the remaining money.

50. In a class , except 18 all are above 50 years. 15 are below 50 years of age. how many people are there

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