Directions (Q. 1-5): The questions are based on the following data. Study it carefully and answer the questions that follow.
In a ship there are 1200 passengers. 18% of the total number of passengers is from Britain. Two fifth of the total number of passengers is from South Africa. 6% of the total number of passengers is from Madagascar. Remaining number of passengers is from India. 25% of the number of passengers from Britain are females. Half the number of passengers from South Africa are males. There is no female passengers from Madagascar. Two third of the number of passengers from India are females.
1. What is the ratio between the number of passengers from Madagascar, number of female passengers from South Africa and the total number of passengers from India?
1) 2 : 5 : 18
2) 3 : 10 : 18
3) 3 : 11 : 18
4) 2 : 18 : 5
5) None of these
2. Number of male passengers from South Africa is approximately what per cent of the total number of passengers from Britain?
1) 111
2) 115
3) 120
4) 125
5) 131
3. What is the average number of male passengers from all the four countries?
1) 154.5
2) 164.5
3) 145
4) 164
5) None of these
4. What is the difference between the number of male passengers from Madagascar and number of male passengers from India?
1) 64
2) 82
3) 74
4) 72
5) None of these
5. What is the total number of male passengers from Britain and female passengers from India together?
1) 340
2) 420
3) 350
4) 460
5) None of these
Directions (Q. 6-10) : Study the following information carefully and answer the questions given below:
A bag contains 3 Red, 2 Green and 4 Yellow balls.
6. If 3 balls are picked at random, find the probability that all are yellow.
1) 1/7
2) 1/21
3) 1/3
4) 2/21
5) None of these
7. If 4 balls are picked at random find the probability that exactly 2 are Red.
1) 2/7
2) 5/14
3) 3/14
4) 3/7
5) None of these
8. If 2 balls are picked at random then find the probabiltiy that at least one is yellow.
1) 7/9
2) 5/6
3) 8/9
4) 13/18
5) None of these
9. If 3 balls are picked at random, find the probability that at most 2 are Red.
1) 1/84
2) 1/42
3) 83/84
4) 1/28
5) None of these
10. If 3 balls are picked at random, find the probability that no ball is of yellow colour.
1) 1/21
2) 1/14
3) 2/21
4) 5/42
5) None of these
Answers:
Total number of passengers = 1200
Passengers from Britain = 1200 * 18/100 = 216
Females = 216 * 25/100 = 54
Males = 216 – 54 = 162
Passengers from South Africa = 1200 * 2/5 = 480
Males = 1/2 * 480
Females = 240
Passengers from Madagascar = 1200 * 6/100 = 72
Males = 72
Females = 0
Passengers from India = (1200 – 216 – 480 – 72) = 432
Females = 2/3 * 432 = 288
Males = 432 – 288 = 144
1. 2
Required ratio = 72 : 240 : 432 = 3 : 10 : 18
2. 1; Required percentage = 240/216 * 100 = 111.11% = 111%
3. 1;
Required average = (162 + 240 + 72 + 144)/4 = 618/4 = 154.5
4. 4
Required difference = India – Madagascar = 144 – 72 = 72
5. 5
Required total number = 162 + 288 = 450
6. 2
Req. Probability = 4C3/9C3 = 4/84 = 1/21
7. 2
Req. Probability = (3C2 * 6C2)/9C4 = 5/14
8. 4
Req. Probability = 1 – 5C2/9C2 = 1 – 10/36 = 13/18
9. 3
Req. Probability = 1 – 3C3/9C3 = 1 – 1/84 = 83/84
10. 4
Req. Probability = 5C3/9C3 = 10/84 = 5/42
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