Quantitative Aptitude Quiz - VIII
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Directions (1–5): Study the given information carefully and answer the questions that follow—
An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles.
1. If two marbles are picked at random, what is the probability that both are red?
(1) 1/3
(2) 1/7
(3) 3/5
(4) 2/3
(5) None of these
2. If three marbles are picked at random, what is the probability that two are blue and one is yellow?
(1) 10/455
(2) 35/355
(3) 18/455
(4) 18/35
(5) None of these
3. If four marbles are picked at random, what is the probability that at least one is blue?
(1) 2/5
(2) 60/65
(3) 44/455
(4) 22/21q
(5) None of these
4. If two marbles are picked at random, what is the probability that either both are green or both are yellow?
(1) 3/5
(2) 2/25
(3) 14/25
(4) 4/105
(5) None of these
5. If four marbles are picked at random, what is the probability that one is green, two are blue and one is red?
(1) 24/455
(2) 14/455
(3) 13/55
(4) 134/165
(5) None of these
Directions (6–10): Study the following graph carefully and answer the questions that follow:
Number of candidates Appeared in the examination and percentage of students passed from various colleges
Table is given at the end.
6. What is the ratio between the number of students passed from institute U in 2007 and the number of students passed from institute Q in 2005 respectively?
(1) 95: 154
(2) 154: 95
(3) 36: 77
(4) 77: 36
(5) None of these
7. What is the ratio between the average number of students appeared from institute P for all the years and that from institute S respectively?
(1) 463: 353
(2) 353: 463
(3) 461: 333
(4) 333 : 461
(5) None of these
8. What is the total number of students passed from all institutes together in year 2010?
(1) 3790
(2) 3970
(3) 2590
(4) 2930
(5) None of these
9. What is the overall percentage of students passed from all institutes together in 2008? (rounded off to nearest integer)
(1) 68
(2) 70
(3) 69
(4) 71
(5) None of these
10. Approximately, what is the overall percentage of students passed from institute R for all the years?
(1) 60
(2) 70
(3) 75
(4) 55
(5) 65
ear
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Colleges
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P
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Q
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R
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S
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T
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U
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App
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%pass
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App
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%pass
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App
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%pass
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App
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%pass
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App
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%pass
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App
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%pass
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2005
|
900
|
60
|
1080
|
40
|
600
|
65
|
1280
|
50
|
1200
|
45
|
1360
|
60
|
2006
|
1040
|
50
|
860
|
70
|
700
|
60
|
1240
|
40
|
1160
|
70
|
1120
|
70
|
2007
|
860
|
60
|
980
|
70
|
760
|
50
|
1160
|
50
|
1360
|
70
|
1400
|
66
|
2008
|
800
|
65
|
1200
|
75
|
900
|
70
|
1200
|
75
|
1440
|
60
|
1560
|
70
|
2009
|
960
|
50
|
1140
|
50
|
800
|
75
|
1400
|
65
|
1400
|
48
|
1120
|
50
|
2010
|
1100
|
40
|
900
|
60
|
1000
|
68
|
1500
|
60
|
900
|
50
|
1300
|
60
|
2011
|
1000
|
58
|
940
|
60
|
940
|
60
|
1440
|
70
|
1120
|
60
|
1440
|
50
|
ANSWERS
1. (2) Required probability = 6C2/15C2 = 1/7
2. (3) (4C2 * 3C1)/15C3 = 18/455
3. (5) Required Probability = 1 – Probability that none of the
Four marbles is blue = 1 - 11C4/15C4 = 69/91
4. (4) Required probability = (2C2 + 3C2)/15C2 = 4/105
5. (1) Required Probability = (2C1 * 4C2 * 6C1)/ 15C4 = 24/455
6. (4) Number of students passed from institute U in 2007 = 66% of 1400 = 924
Number of students passed from institute Q in 2005 = 40% of 1080 = 432
Required ratio = 924: 432 = 77: 36
7. (4) Average number of students appeared from institute P for all the years = 6660/7
Average number of students appeared from institute S for all the years = 9220/7
Required ratio = 6660: 9220 = 333: 461
8. (1) Required sum = 40% of 1100 + 60% of 900 + 68% of
1000 + 60% of 1500 + 50% of 900 + 60% of 1300
= 440 + 540 + 680 + 900 + 450 + 780 = 3790
9. (3) Total number of students appeared in 2008 = 800 +
1200 + 900 + 1200 + 1440 + 1560 =7100
Total Number of students passed in 2008 = 520 +
900 + 630 + 900 + 864 + 1092 = 4906
Required percentage = 4906/7100 * 100 = 69.06
10. (5) Total number of students appeared from institute R
= 5700
Total Number of students Passed from institute R = 3664
Required percentage = 3664/5700 * 100 = 65approx
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