CAT1997 Related Question Answers

26. In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?





27. In the given 2 years, what is the total tariff paid by the urban sector?





28. The table given below gives the annual details of loans from rural banks and agricultural loans over the years 1970 to 1983. Using this data answer the questions that follow. In 1974, the amount of agricultural loans formed what percentage of the total loans?
 





29. From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?





30. Which of the following pairs of years showed the maximum increase in the number of rural bank loans?





31. What is the value(in millions) of the agricultural loans in 1983 at 1970 prices?





32. In which year was the number of rural bank loans per rural bank least?





33. What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?





34. If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, by roughly how many points do the indices for 1983 and 1975 differ?





35. If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, what is the approximate value of the agricultural loans in 1980 at 1983 prices?





36. Anshuman travels at minimum speed by car over A and completes stretch B at the fastest speed. At what speed should he cover stretch C in order to break the previous record?





37. Mr Hare completes the first stretch at the minimum speed and takes the same time for stretch B. He takes 50% more time than the previous record to complete the race. What is Mr Hare's speed for the stretch C?





38. Mr Tortoise completes the race at an average speed of 20 km/hr. His average speed for the first two stretches is four times that for the last stretch. Find the speed over stretch C.





39. What is the average weight of the students in group D?





40. If one student from group A is shifted to group B, which of the following will be true?





41. There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D.If all the students of the class have the same weight, then which of the following is false?
 





42. A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?





43. In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the the vice chairman and a specific director?





44. If $$\log_{2}{\log_{7}{(x^2 - x+37)}}$$ = 1, then what could be the value of ‘x’?





45. After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percentage above the cost price does he mark on his goods?





46. If n is an integer, how many values of n will give an integral value of $$\frac{(16n^2+ 7n+6)}{n}$$ ?





47. A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?





48. Fresh grapes contain 90% water while dry grapes contain 20% water. What is the weight of dry grapes obtained from 20 kg fresh grapes?





49. An express train travelling at 80 km/hr overtakes a goods train, twice as long and going at 40 km/hr on a parallel track, in 54 s. How long will the express train take to cross a platform of 400 m long?





50. A student instead of finding the value of 7/8 of a number, found the value of 7/18 of the number. If his answer differed from the actual one by 770, find the number.





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