Q. Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarders and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?
1) Rs. 560
2) Rs. 540
3) Rs. 550
4) None of these
Q. Six parts of oil are mixed with one part of water. When five liters of water are added to the mixture, the mixture is found to contain 5 times as much oil as water. How many liters of oil were there in the first mixture -
1) 150
2) 90
3) 80
4) 96
Q. In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class?
1) 65.5
2) 85
3) 75
4) 72.5
Q. 150 cc of pure alcohol is dilute by adding 650 cc of water. The new 800 cc mixture contains the following quantity of pure alcohol -
1) 0.65 litre
2) 1.15 litre
3) 0.40 litre
4) None of these
Q. A and B enter into a partnership investing Rs. 12,000 and Rs. 16,000 respectively. After 8 months, C also joins the business with a capital of Rs. 15,000. the share of C in a profit of Rs. 45,600 after two years is:
1) Rs. 12,000
2) Rs. 14,400
3) Rs. 19,200
4) Rs. 21,200
Q. A person spends 60% of his income. If his monthly income is Rs. 3000, his monthly savings in Rs. will be -
1) 1500
2) 1800
3) 1400
4) 1200
Q. Two trains, 121 m and 99 m long, are running in opposite directions at the speeds of 40 kmph and 32 kmph respectively. In what time will they completely cross each other from the moment they meet?
1) 11 sec.
2) 8 sec.
3) 9 sec.
4) None the these
Q. On side of a right-angled triangle is 126 cm. The difference between the hypotenuse and the other side is 42 cm. The length of the hypotenuse is -
1) 168 cm
2) 189 cm
3) 210 cm.
4) None of these
Q. The curved surface of a cylinder is 264 m2. Its volume is 924 m3. The height of the cylinder must be -
1) 4 m
2) 6 m
3) 8 m
4) None of these
Q. The L.C.M. of the polynomials (36x2 - 49) and (6x2 - 5x + 21) is -
1) (x - 3)
2) (x - 3)2 (6x - 7)
3) (x - 3)(6x - 7)(6x + 7)
4) None of those
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