Q. 61. A Techno company has 14 machines of equal efficiency in its factory. The annual manufacturing costs are 42,000 and establishment charges are 12,000. The annual output of the company is ₹70,000. The annual output and manufacturing costs are directly proportional to the number of machines. The shareholders get 12.5% profit, which is directly proportional to the annual output of the company. If 7.14% machines remain closed throughout the year, then the percentage decrease in the amount of profit of the shareholders would be:
(A) 12%
(B) 12.5%
(C) 13%
(D) 13.5%
Answer:
Explanation:
Q. 62. Kishore Suratkal is planning for higher education expenses of his two sons Arjit and Shaurya aged 15 and 12. He plans to divide 20 lacs in two parts and invest in two different plans such that each son gets the same amount when they reach the age of 21. If the rate of interest offered to him by his financial advisor is 12% per annum compounded annually, then how much should he set aside for his younger son (approximately). Select the appropriate answer from the options given below:
(A) 801125
(B) 831625
(C) 901125
(D) 931615
Answer:
Explanation:
Q. 63. The Sabarmati Express left Ahmedabad for Mumbai. Having travelled 300 km, which constitutes 66.666 per cent of the distance between Ahmedabad and Mumbai, the train was stopped by a red signal. Half an hour later, the track was cleared and the engine-driver, having increased the speed by 15 km per hour, arrived at Mumbai on time. Find the initial speed of the Sabarmati Express. Select the appropriate answer from the options given below:
(A) 50 kmph
(B) 60 kmph
(C) 75 kmph
(D) 40 kmph
Answer:
Explanation:
Q. 64. Sam has forgotten his friend’s seven-digit telephone number. He remembers the following: the first three digits are either 635 or 674; the number is odd, and the number nine appears once. If Sam were to use a trial-and-error process to reach his friend, what is the minimum number of trials he has to make before he can be certain to succeed? Select the appropriate answer from the options given below:
(A) 1000
(B) 2430
(C) 3402
(D) 3006
Answer:
Explanation:
Q. 65. In a carrom board game competition, m boys and n girls of a school participate in a way in which every student has to play exactly one game with every other student. Out of the total games played, it was found that in 221 games, one player was a boy, and the other player was a girl.
Consider the following statements:
1. The total number of students that participated in the competition is 30
2. The number of games in which both players were girls is 78
Which of the statements given above is/are correct? Select the appropriate answer from the options given below:
(A) 1 only
(B) Both 1 and 2
(C) 2 only
(D) Neither 1 nor 2
Answer:
Explanation: