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Directions(1-7): Read the questions carefully and answer accordingly
1. A water tank has three taps A, B and C. Tap A, when opened, can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously how long will it take to fill the tank completely ?
(1) 10 hours
(2) 8 hours
(3) 18 hours
(4) 12 hours
(5) None of these
2. A man crosses a stationary train in 12 minutes. The same train crosses a man in 54 seconds. What is the respective ratio between the speed of the train and the man ?
(1) 40 : 7
(2) 400 : 3
(3) 40 : 3
(4) Cannot be determined
(5) None of these
3. The simple interest accrued on an amount of Rs. 2,500 at the end of six years is Rs. 1,875. What would be the simple interest accrued on an amount of Rs. 6,875 at the same rate and same period ?
(1) Rs. 4,556.5
(2) Rs. 5,025.25
(3) Rs. 4,895.25
(4) Rs. 5,245.5
(5) None of these
4. Mr. Pandit owned 950 gold coins all of which he distributed amongst his three daughters Lalita, Amita and Neeta. Lalita gave 25 gold coins to her husband, Amita donated 15 gold coins and Neeta made jewellery out of 30 gold coins. The new respective ratio of the coins left with them was 20 : 73 : 83. How many gold coins did Amita receive from Mr. Pandit ?
(1) 380
(2) 415
(3) 400
(4) 350
(5) None of these
5. Mr. X, a businessman had the income in the year 1995, such that he earned a proflt of 20% on his investment in the business. In the year 1996 his investment was less by Rs. 5,000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995 ?
(1) Rs. 1,02,000
(2) Rs. 1,50,500
(3) Rs. 1,05,000
(4) Data inadequate
(5) None of these
6. To fill 12 vacancies there are 25 candidates, of which 5 are from local institutes. 3 vacancies are reserved for the local – institute candidates and the rest are open to all. Find the number of ways in which the selection can be made!
(1) 16796
(2) 167960
(3) 1679600
(4) 176900
(5) 196700
7. Raksha invested an amount of Rs. 60,000 to start a software business. After six months, Kamal joined her with an amount of Rs. 90,000. After one year from the commencement of the business, Raksha put in an additional amount of Rs. 20,000. At the end of three years, they earned a proflt of Rs. 71,20,000. What is Raksha’s share in the proflt ?
(1) Rs. 35,20,000
(2) Rs. 26,40,000
(3) Rs. 27,00,000
(4) Rs. 38,40,000
(5) None of these
Directions(8-12): Study the following information carefully to answer the questions that follow.
There are two Trains, Train-A and Train-B. Both trains have four different types of Coaches viz. General Coaches. ‘Sleeper Coaches, First Class Coaches and AC Coaches. In Train A there are total 700 passengers. Train B has thirty percent more passengers than Train A. Twenty percent of the passengers of Train A are in “General Coaches. One-fourth of the total number of passengers of Train A are in AC coaches. Twenty three percent of the passengers of Train A are in Sleeper Class Coaches. Remaining passengers of Train-A are in first class coaches. Total number of passengers in AC coaches in both the trains together is 480. Thirty percent of the number of passengers of Train B is in Sleeper Class Coaches. Ten percent of the total passengers of Train B are in first class coaches. Remaining passengers of Train-B are in general class coaches.
8. What is the respective ratio between the number of passengers in first class Coaches of Train A to the number of passengers in Sleeper Class coaches of Train B ?
(1) 13 : 7
(2) 7:13
(3) 32:39
(4) Data Inadequate
(5) None of these
9. What is the total number of passengers in the General Coach of Train A and the AC Coach of Train B together?
(1) 449
(2) 459
(3) 435
(4) 445
(5) None of these
10. What is the difference between the number of passengers in the AC Coach of Train A and the total number of passengers in Sleeper class coaches and First class coaches together of Train B ?
(1) 199
(2) 178
(3) 187
(4) 179
(5) None of these
11. Total number of passengers in General Class Coaches in both the Trains together is approximately what percentage of total number of passengers in Train-B ?
(1) 35
(2) 42
(3) 46
(4) 38
(5) 31
12. If cost of per ticket of First class coach Rs 450/-. What will be the total amount generated from First class coaches of Train-A?
(1) Rs 1,00,080/-
(2) Rs 1,08,000/-
(3) Rs 1,00,800/-
(4) Rs 10,800/-
(5) None of these
Directions(13-17): Study the following information carefully to answer the questions that follow.
Among 400 cricket players, 45% played in IPL 1 and 6.25% played only in IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again, 72.5% players played in IPL 3 and 27.5% players played only in IPL 3. Twenty per cent players played in all three IPL tournaments..
13. How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?
(1) 30
(2) 35
(3) 40
(4) 65
(5) 45
14. What is the percentage of players who played in IPL 2 and IPL 3 but not in IPL 1?
(1) 12.5%
(2) 16.25%
(3) 22.75%
(4) 24%
(5) None of these
15. What is the percentage of the players who played in at least two IPL tournaments?
(1) 30%
(2) 35%
(3) 45%
(4) 50%
(5) 55%
16. The number of players who played only in either IPL 1 or IPL 2 is what percentage of the players who played in all three IPL?
(1) 72%
(2) 75%
(3) 82.5%
(4) 85%
(5) None of these
17. The number of players who played in at most one IPL tournament is what percentage more/less than the number of players who played in at least one IPL?
(1) 55% more
(2) 55% less
(3) 40% more
(4) 40% less
(5) None of these
