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Question 1
Snehasis can swim 16 km upstream and it takes 4 hours more than if he swims that distance downstream. But if he increases his swimming speed to 1.5 times of original one, it takes 1.5 hours less in downstream than upstream for the 16 km distance. Find the speed of the stream.
Question 2
A water reservoir has two inlets and one outlet. Through the inlet it can be filled in3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 03:00 pm and 04:00 pm respectively and the outlet at 05:00 pm then it will be emptied at.
Question 3
Type I and type II syrup are mixed in a vessel I in ratio of 5 : 2. After that, 14 litres from the mixture is withdrawn and poured to vessel II. Then, 11 litres of type II syrup is mixed in vessel II. Find the ratio of type I and type II liquid in vessel II ?
Question 4
A can finish 20% of the work in 10 days while B can finish 60% of the work in 12 days. They started the work together but after 4 days of work B was replaced by C and the whole work got completed in 12 days. Find in how many days C alone can finish the work.
Question 5
A and B started a business in partnership by investing Rs. 10,000 and Rs. 4000 respectively. Condition of partnership is that B will get Rs.1200 from the annual profit for the management of business. A and B also paid 5% interest for their capital from their profit amount. Remaining annual profit is distributed between them in the ratio of their investment. Find the total share of A in the total annual profit of Rs. 4000.
Question 6
Direction: The following questions are accompanied by two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
By how many years is Rohit younger than Ankit?
Statement I: The ratio of Rohit’s present age to Ankit’s age after 4 years is 5:7.
Statement II: The ratio of Rohit’s age four years ago to Ankit’s present age is 2:3.
Statement I: The ratio of Rohit’s present age to Ankit’s age after 4 years is 5:7.
Statement II: The ratio of Rohit’s age four years ago to Ankit’s present age is 2:3.
Question 7
Direction: The following questions are accompanied by two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
How much time did X take to reach the destination?
I: The ratio of the speed of X to that of Y is 3:2.
II: Y takes 36 minutes to reach the same destination.
I: The ratio of the speed of X to that of Y is 3:2.
II: Y takes 36 minutes to reach the same destination.
Question 8
Direction: The following questions are accompanied by two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
If Amit and Anuj run a race, then Amit wins by 60 seconds. If Anuj and Chama run the same race, then Anuj wins by 30 seconds. Assuming that Chama maintains a uniform speed what is the time taken by Chama to finish the race?
Statement I: Amit and Chama run the same race and Amit wins by 375 metres
Statement II: The length of the race is 1 km.
Statement I: Amit and Chama run the same race and Amit wins by 375 metres
Statement II: The length of the race is 1 km.
Question 9
Direction: The following questions are accompanied by two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
Is rectangular slab B a cube?
Statement I: At least two faces of the rectangular slab B are squares.
Statement II: The volume of the rectangular slab B is 64.
Statement I: At least two faces of the rectangular slab B are squares.
Statement II: The volume of the rectangular slab B is 64.
Question 10
Direction: The following questions are accompanied by two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
In 2004, was the number of people in Ahmedabad greater than three times the number of people in Varanasi?
Statement I: In 2014, there were approximately 1.1 million more people in Ahmedabad than in Varanasi.
Statement II: In 2004, the 300,000 Hindus in Ahmedabad made up for 20 percent of its population and the 141,000 Buddhists in Varanasi made up 30 percent of its population.
Statement I: In 2014, there were approximately 1.1 million more people in Ahmedabad than in Varanasi.
Statement II: In 2004, the 300,000 Hindus in Ahmedabad made up for 20 percent of its population and the 141,000 Buddhists in Varanasi made up 30 percent of its population.
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