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Directions (Q. 1 – 5): Study the following information carefully and answer the questions given questions.
Following table shows the different color of balls in 5 different bags.
1) If three balls are drawn at random from bag Q, then find the probability that all the balls are of different colors?
a) 3/11
b) 4/33
c) 8/33
d) 4/11
e) None of these
2) Total number of red balls and yellow balls together is what percent of total number of green balls?
a) 150 %
b) 160 %
c) 180 %
d) 190 %
e) 170 %
3) If four balls are drawn at random from bag R, then find the probability of taking at least one yellow ball?
a) 14/143
b) 129/143
c) 27/143
d) 15/143
e) None of these
4) If three balls are drawn from each of the bags S and T, then find the ratio of that out of three balls 2 are yellow from bag S and all the balls from bag T are green?
a) 11 : 10
b) 33 : 10
c) 43 : 11
d) 35 : 33
e) None of these
5) If three balls are drawn from both the bags P and R, then find the product of their probabilities that all the balls drawn from both the bags are of different colors?
a) 90/1573
b) 90/1373
c) 99/1573
d) 90/1373
e) None of these
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions.
Following pie Chart shows the percentage of population in seven villages in 2006.
The table below shows percentage of population below poverty line in every village:
| Villages | Percentage of people below poverty line | Ratio of Male to Female |
| A | 45 % | 6 : 7 |
| B | 50 % | 1 : 2 |
| C | 60 % | 5 : 7 |
| D | 40 % | 12 : 13 |
| E | 20 % | 7 : 5 |
| F | 25 % | 1 : 1 |
| G | 30 % | 3 : 5 |
6) If the total population of all the villages in 2006 is 120 lakhs, then find the difference between the number of people who are above poverty line in villages A and C?
a) 4.74 lakhs
b) 5.70 lakhs
c) 2.87 lakhs
d) 5.44 lakhs
e) None of these
7) If the number of people below poverty line in village G is 9 lakhs, then find the difference between the number of males and females in village E?
a) 8 lakhs
b) 10 lakhs
c) 6 lakhs
d) 12 lakhs
e) None of these
8) If the male population of village F in 2007 is 10 lakhs which is 150 % more than the male population of village F in 2006, then find the number of people above poverty level in village F in 2006?
a) 12 lakhs
b) 8 lakhs
c) 15 lakhs
d) 6 lakhs
e) None of these
9) If the total population of village B and D is 99 lakhs, then find the difference between the male population of village C and female population of village A?
a) 7 lakhs
b) 15 lakhs
c) 18 lakhs
d) 11 lakhs
e) None of these
10) If the number of people below poverty level in village G is 18 lakhs, then find the male population of village E is what percentage more than the female population of village E?
a) 20
b) 12
c) 20
d) 40
e) None of these
Answers:
Direction (1-5)
1) Answer: c)
Required probability = (5c1 x 2c1 x 4c1)/11c3
= > (5 x 2 x 4)/165 = 8/33
2) Answer: d)
Total number of red balls = 4 + 5 + 6 + 3 + 4 = 22
Total number of yellow balls = 3 + 2 + 5 + 4 + 2 = 16
Total number of green balls = 5 + 4 + 2 + 3 + 6 = 20
Required % = [(22 + 16)/20]*100 = 190 %
3) Answer: b)
Probability of taking at least one yellow ball = 1 – P(none is yellow ball)
P(None is yellow ball)
= > 8C4/13C4
= > 14/143
Probability of taking at least one yellow ball = 1 – (14/143) = 129/143
4) Answer: b
Probability that out of 3 balls from bag S, 2 are yellow
= > (4c2 x 6c1)/10c3 = 36/ 120 = 3/10
Probability that all the balls from bag T are green = 6c3/12c3 = 1/11
Required ratio = (3/10) : (1/11) = 33 : 10
5) Answer: a)
Probability of all the balls drawn from bag P are of different colors
= (4c1 x 3c1 x 5c1)/12c3
= (4 x 3 x 5)/220
= 3/11
Probability of all the balls drawn from bag R are of different colors
= (6c1 x 5c1 x 2c1)/13c3
= (6 x 5 x 2)/286
= 30/143
Required product = (3/11)*(30/143) = 90/1573
Direction (6-10)
6) Answer: a)
Population of village A above poverty line
= > 120*(13/100)*(55/100) = 8.58 lakhs
Population of village C above poverty line
= > 120*(8/100)*(40/100) = 3.84 lakhs
Required difference = 8.58 – 3.84 = 4.74 lakhs
7) Answer: c)
(30/100)* Total population of village G = 9 lakhs
Total population of village G = (9/30)*100= 30 lakhs
Total population of all the villages = (30/15)*100= 200 lakhs
Difference between number of males and females in village E
= > 200*(18/100)*(2/12) = 6 lakhs
8) Answer: d)
Male population of village F in 2006 = (10/250)*100 = 4 lakhs
Total population of village F in 2006 = 4*2 = 8 lakhs
The number of people above poverty level in Village F in 2006
= > 8*(75/100) = 6 lakhs
9) Answer: d)
Total population of all the villages = (99/33)*100 = 300 lakhs
Male population in village C = (8/100)*300*(5/12) = 10 lakhs
Female population in village A= (13/100)*300*(7/13) = 21 lakhs
Required difference = 21 – 10 = 11 lakhs
10) Answer: d)
Total population of Village G = (18/30)*100 = 60 lakhs
Total population of all the village = (60/15)*100 = 400 lakhs
Male population of village E = 400*(18/100)*(7/12) = 42 lakhs
Female population of village E = 400*(18/100)*(5/12) = 30 lakhs
Required percentage = [(42 – 30)/30]*100 = 40%
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| Topic | Daily Publishing Time |
| Daily News Papers & Editorials | 8.00 AM |
| Current Affairs Quiz | 9.00 AM |
| Quantitative Aptitude “20-20” | 11.00 AM |
| Vocabulary (Based on The Hindu) | 12.00 PM |
| General Awareness “20-20” | 1.00 PM |
| English Language “20-20” | 2.00 PM |
| Reasoning Puzzles & Seating | 4.00 PM |
| Daily Current Affairs Updates | 5.00 PM |
| Data Interpretation / Application Sums (Topic Wise) | 6.00 PM |
| Reasoning Ability “20-20” | 7.00 PM |
| English Language (New Pattern Questions) | 8.00 PM |
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