Q. 56. A milkman produces three kinds of milk. On a particular day, he has 170 litres, 102 litres and 374 litres of the three kinds of milk. He wants to bottle them in bottles of equal sizes-so that each of the three varieties of milk would be completely bottled. How many bottle sizes are possible such that the bottle size in terms of litres is an integer? Select the appropriate answer from the options given below:
(A) 1
(B) 2
(C) 4
(D) 34
Answer:
Explanation:
Q. 57. In the famous Bel Air Apartments in Ranchi, there are three watchmen meant to protect the precious fruits on the campus. However, one day, a thief got in without being noticed and stole some precious mangoes. On the way out, however, he was confronted by the three watchmen, the first two of whom asked him to part with 1/3rd of the fruits and one more. The last asked him to part with 1/5th of the mangoes and 4 more. As a result, he had no mangoes left. What was the number of mangoes he had stolen? Select the appropriate answer from the options given below:
(A) 12
(B) 13
(C) 15
(D) 20
Answer:
Explanation:
Q. 58. Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100. A student can get an A grade in the course if the average of her scores is more than or equal to 90. Grade B is awarded to a student if the average of her scores is between 87 and 89 (both included). If the average is below 87, the student gets a C grade. Ramesh is preparing for the last quiz, and he realises that he will need to score a minimum of 97 to get an A grade. After the quiz, he realises that he will score 70, and he will just manage a B. How many quizzes did Prof. Suman take?
Select the appropriate answer from the options given below:
(A) 6
(B) 7
(C) 8
(D) 9
Answer:
Explanation:
Q. 59. Mr. A is a computer programmer. He is assigned three jobs for which time allotted is in the ratio of 5:4:2 (jobs are needed to be done individually). But due to some technical snag, 10% of the time allotted for each job gets wasted. Thereafter, owing to the lack of interest, he invests only 40%, 30% and 20% of the hours of what was actually allotted to do the three jobs individually. Find how much percentage of the total time allotted is the time invested by A. Select the appropriate answer from the options given below:
(A) 38.33%
(B) 39.45%
(C) 32.72%
(D) 36.66%
Answer:
Explanation:
Q. 60. Assume that the rate of consumption of coal by a locomotive varies as the square of the speed and is 1000 kg per hour when the speed is 60 km per hour. If the coal costs the railway company ₹15 per 100 kg and if the other expenses of the train be 12 per hour, find a formula for the cost in paise per kilometre when the speed is S km per hour. Select the appropriate answer from the options given below:
(A)
(B)
(C)
(D)
Answer:
Explanation: