Quantitative Aptitude Quiz – 78 (Caselet)

Directions (Q.1 – 5): Study the following information carefully to answer the questions:

In a team there are 360 members (male and female). Two-fifths of them are males. 25% of males are graduates. The remaining males are non-graduates. Three-fourths of the females are graduates. The remaining females are non-graduates.

See Explanation:
Total no. of members (males & females) = 360
No. of males = 360 * 2/5 = 144
No. of males who are graduates = 144 * 1/4 = 36
No. of males who are non-graduates = 144 – 36 = 108
No. of females = 360 – 144 = 216
No. of females who are graduates = 216 *3/4 = 162
No. of females who are non-graduates = 216 – 162 = 54.

1. What is the difference between the number of females who are non-graduates and that of males who are graduates ?
a) 36
b) 18
c) 20
d) 54
e) None of these

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Answer b) 18
Difference = 54 – 36 = 18.

2. What is the ratio of the total number of males to the total number of females who are non-graduates ?
a) 3 : 8
b) 4 : 5
c) 5 : 3
d) 8 : 3
e) None of these

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Answer d) 8 : 3
Req. ratio = 144 : 54 = 8 : 3.

3. What is the sum of the number of females who are graduates and the number of females who are non-graduates ?
a) 270
b) 216
c) 220
d) 108
e) None of these

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Answer a) 270
Req. sum = 162 + 108 = 270.

4. The number of males who are non-graduates is what percent of the number of females who are graduates ?
a) 100/3%
b) 50%
c) 200/3%
d) 18%
e) None of these

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Answer c) 200/3%
Req. % = 108/162 * 100 = 200/3%.

5. The number of males who are non-graduates is what percent of the number of females who are non-graduates ?
a) 50%
b) 100%
c) 25%
d) 200%
e) None of these

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Answer d) 200%
Req. % = 108/54 * 100 = 200.

Directions (Q.6 – 10): Study the following information carefully and answer the questions given below:

In a pharmaceutical company, there are 2500 employees. The company has its branches in five different states, viz Bihar, Punjab, Delhi, UP and Himachal Pradesh(HP). Out of the total employees, 40% are females. 25% of the female employees work in Delhi. Out of the total number of male employees, 15% work in Punjab, 35% work in Bihar, 17% work in UP, 10% work in HP and the remaining male employees work in Delhi. There are no female employee in HP. Out of the total females, 33% work in UP, 18% work in Punjab and the remaining work in Bihar.

See Explanation:

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6. If 60% of the male employees of Bihar and 50% of female employees of Delhi leave the company then what will be the ratio of the existing male to female employees in these states respectively ?
a) 25 : 42
b) 42 : 25
c) 1 : 2
d) 6 : 7
e) None of these

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Answer b) 42 : 25
Req. ratio = (525 * 40/100) / (250 * 50/100) = 210/125 = 42 : 25.

7. What is the difference between the total number of female employees in Bihar and Punjab together and that in UP and Delhi together ?
a) 180
b) 155
c) 199
d) 160
e) None of these

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Answer d) 160
Req. difference = {UP + Delhi} – {Bihar + Punjab}
= {330 + 250} – {240 + 180} = 580 – 420 = 160.

8. What is the ratio of 25% of the male employees in Punjab to 20% of the female employees in Delhi ?
a) 9 : 8
b) 525 : 250
c) 8 : 21
d) 21 : 8
e) None of these

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Answer a) 9 : 8
Req. ratio = (225 * 25/100) / (250 * 20/100) = 9 : 8.

9. What is the total number of employees working in Bihar ?
a) 765
b) 625
c) 725
d) 525
e) None of these

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Answer a) 765
Total no. of employees in Bihar = 525 + 240 = 765.

10. The total number of employees in Bihar is what percent of the total number of employees ?
a) 30.8%
b) 30.4%
c) 30.6%
d) 30.7%
e) None of these

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Answer c) 30.6%
Req. percentage = 765/2500 * 100 = 30.6%.

Best Wishes,
D2G’s Team..