1. Vishal travels by car and covers 25% of his journey with a speed of 10 km/h, 45% of his journey with a speed of 5 km/h and remaining 30% of his journey with a speed of 15 km/h. what will be the average speed of Vishal for the whole journey?
A) 6.50 km/h
B) 7.40 km/h
C) 7.80 km/h
D) 6.75 km/h
E) None of these
2. The population of a town is 352800. If it increases at the rate of 5% per annum, then what was its population 2 years ago?
A) 300000
B) 350000
C) 400000
D) 320000
E) None of these
3. If 2/3 part of an article is sold at 30% profit, 1/4 part at 16% profit and remaining part at 12% profit and finally, there is a profit of Rs. 75, then find the cost price of the article?
A) Rs 300
B) Rs 350
C) Rs 400
D) Rs 450
E) Rs 500
4 A shopkeeper marked the price 20% more than its cost price. If he allows a discount of 25%, then find his loss per cent?
A) 12%
B) 15%
C) 10%
D) 20%
E) None of these
5. For a certain sum, the simple interest in 2 yr at 8% per annum is Rs. 50 more than the simple interest in 1.5yr at the rate of 10% per annum for the same sum. Find the sum?
A) 4000
B) 5000
C) 6000
D) 7000
E) None of these
6. The ratio between the number of passengers travelling by 1st and 2nd class between the two railway stations is 1 : 50, whereas the ratio of 1st and 2nd class fares between the same stations is 3 : 1. If an a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the 2nd class passengers?
A) Rs. 750
B) Rs. 850
C) Rs. 1000
D) Rs. 1250
E) None of these
7. A container contains 40 L of milk. From this container, 4 L of milk was taken out and replaced by water. This process was further repeated two times. How much milk is now there in the container?
A) 29.16 L
B) 30 L
C) 32.4 L
D) 35 L
E) None of these
8. A, B and C invested capitals in the ratio of 2 : 3 : 5. At the end of the business terms, they received the profit in the ratio of 5 : 3 : 12. Find the ratio of time for which they contributed their capitals?
A) 25:15:23
B) 25:10:24
C) 23:25:10
D) 23:10:25
E) None of these
9. Present age of Priyanka is 5 times the age of Ritu. After 10 yr, Priyanka will be 3 times as old as Ritu. What are the present ages of Priyanka and Ritu respectively?
A) 10 yrs and 50 yrs
B) 5 years and 25 years
C) 25 years and 5 years
D) 50 years and 10 year
E) None of these
10. If tap A can fill a tank 5 times faster than tap B and takes 36 min less than tap B to fill the tank. If both the taps are opened simultaneously, then find the time taken to fill the tank?
A) 7 min
B) 7.5 min
C) 8 min
D) 10 min
E) None of these
11. A sum of money invested at compound interest amounts to Rs. 800 in 2 yr and Rs. 880 in 3 yr. Find the rate of interest per annum and the sum?
A) Rs 661.15
B) Rs 761.15
C) Rs 861.15
D) Rs 961.15
E) None of these
12. A can do a piece of work in 10 days while B can do it in 15 days. They begin together but 5 days before the completion of the work, B leaves off. Find the total number of days for the work to be completed?
A) 6 Days
B) 5 Days
C) 10 Days
D) 8 Days
E) 9 Days
13. A, B and C undertake to do a work for Rs. 240. A and B together do ¼ of the work and rest is done by the C alone. How much should C get?
A) 150
B) 180
C) 160
D) 200
E) None of these
14. A person covers half of his journey at 30 km/h, one-third at 40 km/h and rest of his journey at 20 km/h. Find his average speed for the whole journey?
A) 25 km/h
B) 35 km/h
C) 20 km/h
D) 30 km/h
E) None of these
15. Rahul can row a certain distance downstream in 12 h and can return the same distance in 18 h. If the stream flows at the rate of 6 km/h, then find the speed of Rahul in still water?
A) 25 km/h
B) 35 km/h
C) 20 km/h
D) 30 km/h
E) None of these
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