Question1: A and B can do a work in 12 days, B and C can do the same work in 15 days C and A can do the same work in 20 days. The time taken by A, B and C to do the same work is
(a) 5 days
(b) 10 days
(c) 15 days
(d) 20 days
(e) None of these
Question2: It takes 15 s for a train travelling at 60 km/h to cross entirely another train half its length and travelling in opposite direction at 48 km/h. It also passes a bridge in 51 s. The length of the bridge is?
(a) 550 m
(b) 450 m
(c) 500 m
(d) 600 m
(e) 650 m
Question3: 12 men can complete a work in ten days. 20 women can complete the same work in twelve days. 8 men and 4 women started working and after nine days 10 more women joined them. How many days will they now take to complete the remaining work?
(a) 2 days
(b) 5 days
(c) 8 days
(d) 10 days
(e) 7 days
Question4: In a mixture of milk and water the proportion of water by weight was 7:5 in Brand A, 8 : 6 in Brand B and 5 : 6 in Brand C. If brand A,B and C are mixed equally to form a new brand D, then what will be ratio of milk and overall liquid in brand D.
(a) 1587 : 2752
(b) 1447 : 2642
(c) 1487 : 2772
(d) 1447 : 2772
(e) 1587 : 2642
Question5: Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a woman. In how many different ways can this be done?
(a) 80
(b) 84
(c) 76
(d) 96
(e) None of these
Question6: The present ages of Amit and his father are in the ratio 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father’s age five years ago?
(a) 40 years
(b) 45 years
(c) 30 years
(d) 35 years
(e) None of these
Question7: Lisa started a business investing Rs. 12,000 along with Sunil with the 50% of Lisa’s capital. After 5 months Abhay joined them with a capital of 75% of the initial capital of both Lisa and Sunil. At the end of the year the total profit was Rs. 4,410. What is the share of Sunil?
(a) Rs. 440
(b) Rs. 720
(c) Rs.840
(d) Rs. 560
(e) None of these
Question8: Two pipes can fill a tank in 20 and 24 mins respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15mins. What is the capacity of the tank?
(a) 120 gallons
(b) 100 gallons
(c) 60 gallons
(d) 180 gallons
(e) None of these
Question9: In Xth class the ratio of boys to girls is 62 : 38 and in XIIth the inverse ratio of the previous class is 25 : 75 , If there are total of 700 students including both Xth and XIIth and the ratio of students in them are 4 : 3 respectively. What is the ratio of number of girls passing from Xth to that of number of boys passing from XIIth ?
(a) 152 : 75
(b) 150 : 250
(c) 142 : 235
(d) 225 : 150
(e) 152 : 225
Question10: If the difference between the compound interest and the simple interest on a certain sum for 2 years at 8% p.a. is Rs. 32, then the sum is
(a) Rs. 5,000
(b) Rs. 5,500
(c) Rs. 6,000
(d) Rs. 5,250
(e) None of these
Solution
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