1. A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
- Rs.2400
- Rs.1800
- Rs.3600
- Rs.6000
1
2. A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
- 8 a.m.
- 8 p.m.
- 9 a.m.
- 9 p.m.
7
3. Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
- 1/3 rd
- 2/5 th
- 2/3 rd
- 1/5 th
9
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View Answer
Solution:
3h = 5c
6c = 10s
A = 21h*3 + 15c*2
= 63h + 30c
= 105c + 30c = 135c
B = 15c*6 + 40s*7 1/2
= 90c + 300s
= 90c + 180c = 270c
A:B = 135:270
27:52
A = 27/79 = 1/3
4. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
- 16 hrs
- 25 hrs
- 40 hrs
- 20 hrs
15
5. A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
- 5 kmph
- 10 kmph
- 15 kmph
- 30 kmph
17
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View Answer
Solution:
US = 25
DS = 35
M = (35 - 25)/2 = 5
6. The smallest ratio out of 1:1, 2:1, 1:3 and 3:1 is?
- 3:1
- 1:3
- 2:1
- 1:2
22
8. A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
- 2 kmph
- 4 kmph
- 8 kmph
- 16 kmph
31
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View Answer
Solution:
30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
9. A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
- 3
- 7.5
- 2.25
- 1.5
36
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View Answer
Solution:
M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
11. A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
- Rs.185
- Rs.215
- Rs.270
- Rs.380
43
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View Answer
Solution:
12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
.
12. A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
- 7 km/h
- 5 km/h
- 3 km/h
- 2 (1/2) km/h
48
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View Answer
Solution:
100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 ½ kmph
13. A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
- Rs.4500
- Rs.5200
- Rs.3000
- Rs.1800
51
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View Answer
Solution:
A:B:C = 5:6:4
Let the total profit = 100 - 30 = 70
5/15 * 70 = 70/3
A share = 70/3 + 30 = 160/3
B + C share = 100 - 160/3 = 140/3
A-(B+C) = 160/3 - 140/3 = 20/3
20/3 ---- 200
100 ---- ? => 3000
14. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
- 10 %
- 15 %
- 20 %
- 22 1/2%
56
15. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
- 1 year
- 2 year
- 3 year
- 4 year
60
16.A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
- 7 hours
- 8 hours
- 14 hours
- 28 hours
64
18. A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
- 6 months
- 7 months
- 8 months
- 10 months
70
20. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?
- 5 min
- 5.5 min
- 5.2 min
- None
79
