Directions (Q. 1-5): Study the following information carefully and answer the questions given below:
A survey was conducted on 1600 people who watch one or more sports from given three options Cricket, Football and Hockey. It was found that 53.75% watch Cricket, 45.9375% watch Football and 60.3125% watch Hockey. 16.875% watch all three games which is 95 more than the number of persons who watch only Football. The number of persons who watch only Hockey is 75 more than the twice the number of people who watch only Football.
1. How many people watch only cricket?
1) 240
2) 270
3) 310
4) 340
5) 370
2. What percentage of people watches both cricket and football but not hockey?
1) 8.75%
2) 9.375%
3) 10.125%
4) 11.5%
5) 12.25%
3. How many persons watch exactly two types of games from given three?
1) 420
2) 450
3) 480
4) 510
5) 520
4. What is the difference between number of persons who watch cricket and the number of persons who watch only cricket?
1) 490
2) 510
3) 550
4) 570
5) 610
5. What percent of people watch at most two types of games?
1) 72.5%
2) 76.625%
3) 78.25%
4) 81.725%
5) 83.125%
6. A reduction of 20% in the price of rice enables a person to buy 5 kg more for Rs. 400, what is the reduced price of rice per kg?
1) Rs. 15/kg
2) Rs. 16/kg
3) Rs. 20/kg
4) Rs. 25/kg
5) Other than given options
7. Manish deposited two parts of a sum of Rs. 20000 in different banks at the rates of 16% p.a and 19% p.a respectively. In one year he got Rs. 3440 as the total interest. What was the amount deposited at the rate of 19% p.a.?
1) Rs. 8000
2) Rs. 10000
3) Rs. 12000
4) Rs. 15000
5) Rs. 16000
8. 10 liters are drawn from a vessel full of spirit and it is filled with water. Then 10 liters of the mixture are drawn and the vessel is again filled with water. The ratio of the spirit to water in the vessel is 9 : 25. Now what is the capacity of vessel?
1) 50 liters
2) 45 liters
3) 40 liters
4) 30 liters
5) 25 liters
9. If 16 men or 40 women can do a work in 25 days, how long will 16 men and 10 women take to finish the work?
1) 16 days
2) 20 days
3) 24 days
4) 25 days
5) 30 days
10. A builder decided to build a house in 27 days. He employed 100 men in the beginning and 50 men after 19 days and completed the house on time. If he had not employed the additional men, how many days behind schedule would it have been finished?
1) 8 days
2) 5 days
3) 4 days
4) 3 days
5) Other than given options
Answers:
1. 3
2. 2
Required percentage = 150/1600 * 100 = 9.375%
3. 1
Required answer = 130 + 140 + 150 = 420
4. 3
Required answer = 860 - 310 = 550
5. 5
Required answer = (1600 - 270)/1600 * 100
= 1330/16%
= 83.125%
6. 2
Let original price be Rs. x per kg.
Reduced price = 4x/5 per kg
400/(4x/5) - 400/x = 5
2000/4x - 400/x = 5
(2000 - 1600)/4x = 5
20x = 400
x = 20
Reduce price 4x/5 = Rs. 16 per kg
7. 1
Let the deposited Rs. x at rate of 19% pa
Then
x * 19/100 + (20000 - x) 16/100 = 3440
19x - 16x + 320000 = 344000
3x = 24000
x = Rs. 8000
8. 5
Capacity of the vessel = 10/{1-(9/25)^(1/2)} = 10*5/2
= 25 litres
9. 2
Required number of days
= 1/(16/16*25 + 10/40*25)
= 20
10. 3
Let 100 men complete the house in x days
Here 100 men worked for 19 days and 150 men worked for 8 days
19/x + 150*8/100x = 1
19/x + 12/x = 1
x = 31
Behind schedule = 31 - 27 = 4 days
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