1. A can complete a work in 20 days and B in 30 days. A worked alone for 4 days and then B completed the remaining work along with C in 18 days. In how many days can C working alone complete the work?
(a) 12
(b) 68
(c) 72
(d) 90
(e) None of the above
2. 2 men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 90 per day, what should be the wages per day of a women?
(a) Rs. 48
(b) Rs. 60
(c) Rs. 72
(d) Rs. 135
(e) None of the above
3. There are three taps of diameters 1cm, 4/3cm and 2cm respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill the tank alone in 61 min. If all the taps are opened simultaneously, how long will the tank take to be filled?
(a) 44 min
(b) 45 min
(c) 44 1/4 min
(d) 46 min
(e) None of the above
4. A car starts running with the initial speed of 40 km/h with its speed increasing every hour by 5 km/h. How many hours will it take to cover a distance of 385 km?
(a) 8 1/2 h
(b) 9 1/2 h
(c) 7 h
(d) 6 h
(e) None of the above
5. A 125 m long train take 25 s to cross a person who is going in the same direction with the speed of 4 km/h. After crossing that person, the train can reach next station in 30 min. How long that person takes to reach that station after being crossed by them?
(a) 3 1/4 h
(b) 2 3/4 h
(c) 3 3/4 h
(d) 2 1/4 h
(e) None of the above
6. A river is flowing at a speed of 5 km/h in a particular direction. A man, who can swim at a speed of 20 km/h in still water, starts swimming along the direction of flow of the river from point A and reaches another point B which is at a distance of 30 km from the starting point A. On reaching point B, the man turns back and starts swimming against the direction of flow of the river and stops after reaching point A. The total time taken by the man to complete his journey is ……..
(a) 2 h 30 min
(b) 3 h 12 min
(c) 3 h 30 min
(d) 3 h 45 min
(e) None of the above
7. City A has a population of 136000 which is decreasing at the rate of 2400 per year. City B has a population of 84000 which is increasing at the rate of 1600 per year. In how many years will the population of two cities become equal?
(a) 15
(b) 18
(c) 13
(d) 19
(e) None of the above
8. The taxi charges in a city contain fixed charges and additional charge per kilometer. The fixed charge is for a distance of upto 5 km and additional charge per kilometer thereafter. The charge for a distance of 10 km is Rs. 350 and for 25 km is Rs. 800. The charge for a distance of 30 km is
(a) Rs. 800
(b) Rs. 750
(c) Rs. 900
(d) Rs. 950
(e) None of the above
9. The average weight of the students in four sections A, B, C and D is 60 kg. The average weight of the students of sections A, B, C and D individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section A and B together is 48 kg and that of B and C together is 60 kg, what is the ratio of the number of students in sections A and D?
(a) 12 : 7
(b) 4 : 3
(c) 3 : 2
(d) 8 : 5
(e) None of the above
10. In a class-X of 30 students, 24 passed in first class; in another class Y of 35 students, 28 passed in first class. In which class was the percentage of students first class more?
(a) Class X has more percentage of students getting first class.
(b) Class Y has more percentage of students getting first class
(c) Both classes have equal percentage of students getting first class
(d) Data insufficient
(e) None of the above
11. A shopkeeper sells a transistor at 15% above its cost price. If he had bought it at 5% more than what he paid for it and sold it for Rs. 6 more, he would have gained 10%. The cost price of the transistor is
(a) Rs. 800
(b) Rs. 1000
(c) Rs. 1200
(d) Rs. 1400
(e) None of the above
12. What is the maximum percentage discount (approximately) that a merchant can offer on his market price, so that he ends up selling at no profit or loss, if he initially marked his goods up by 40%?
(a) 60%
(b) 28.5%
(c) 33.5%
(d) No discount
(e) None of the above
13. An amount is invested in a bank at compound rate of interest. The total amount, including interest, after first and third year is Rs. 1200 and Rs. 1587, respectively. What is the rate of interest?
(a) 10%
(b) 3.9%
(c) 12%
(d) 15%
(e) None of the above
14. A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This amount is to be divided between A and B in the ratio of
(a) 10 : 1
(b) 1 : 10
(c) 9 : 10
(d) 10 : 9
(e) None of the above
15. 3 yr before, the average age of a family of 5 members was 17 yr. Due to birth of a new child, the average age is same today. The present age of child is
(a) 1 yr
(b) 3 yr
(c) 2 1/2 yr
(d) 2 yr
(e) None of the above
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