Directions (Q. 1-5): The following table shows the total number of students appeared in an entrance exam from six different states in different years, and the ratio of passed to failed students among them. Answer the given questions based on this table.
1). What is the difference between the total number of passed students from all six states in the year 2015 and total number of failed students from all six states in the year 2016?
a) 276
b) 288
c) 409
d) 398
2). What is the percentage of the total number of passed students from Kerala in all the given years to the total number of failed students from Haryana in all the given years?
a) 65.87%
b) 86.05%
c) 91.92%
d) 97.58%
e) 84.65%
3). The total number of passed students from Assam in the year 2014, 2015 and 2016 together is approximately what percentage more than the total number of failed students from Maharashtra in the year 2015 and 2016 together?
a) 90%
b) 95.50%
c) 77.50%
d) 65.25%
e) 85.41%
4). What is the total number of failed students from Bihar and Jharkhand in all three years together?
a) 2135
b) 2174
c) 2435
d) 2065
e) 2185
5). What is the approximate difference between the average number of passed students from Jharkhand in all three years together and the average number of passed students from Haryana in all three years together?
a) 19
b) 17
c) 11
d) 12
e) 21
Directions (Q. 6-10): The following pie – chart gives the percentage-wise Distribution of Employees in Six different Professions. Study the following pie chart and answer the following questions.
Total Number of Employees = 26800
6). 25% of employees from lawyer profession went on a strike. The number of employees from lawyer who have not participated in the strike is what percentage of employees in Medical profession?
a) 37.69%
b) 52.77%
c) 48.99%
d) 40.19%
e) 36.59%
7). In teaching profession if three-fifth of the teachers is not permanent, then the number of permanent teachers in the teaching profession is what percentage more / less than the no. of employees in engineering profession?
a) 33.33%
b) 17.05%
c) 25.90%
d) 46.20%
e) 16.98%
8). In management profession three-fourth of the number of employees are female and half of the total number of employees are from North India and rest from south India. What is the difference between the number of male employees and the number of employees from South India in management profession?
a) 1239
b) 1129
c) 1189
d) 1219
e) 1139
9). What is the percentage of total number of employees in engineering profession and industries together to the total number of employees in Medical profession and Teaching together?
a) 47.96%
b) 58.56%
c) 65.26%
d) 52.38%
e) 51.36%
10). If 25% of the members from Industries profession are joined in Engineering, then what is the difference between the total number of employees in Lawyer and Management profession together and the total number of employees in engineering profession?
a) 6878
b) 6950
c) 6365
d) 6656
e) 6424
Answer Key with Detailed Explanation:
1). Total passed students from all six states in the year 2015
= 754 × 7/13 + 845 × 8/13 + 792 × 7/11 + 828 × 11/18 + 726 × 7/11 + 867 × 12/17
= 406 + 520 + 504 + 506 + 462 + 612
= 3010
Total failed students from all six states in the year 2016
= 672 × 5/8 +952 × 8/17 + 637 × 3/7 + 988 × 12/19 + 715 × 5/13 + 924 × 13/21
= 420 + 448 + 273 + 624 + 275 + 572
= 2612
Required difference = 3010 – 2612 = 398
Answer is: d)
2). Passed students from Kerala in the year 2014, 2015 and 2016
= 576 × 7/12 + 828 × 11/18 + 988 × 7/19
= 336 + 506 + 364
= 1206
Failed students from Haryana in the year 2014, 2015 and 2016
= 847 × 7/11 + 845 × 5/13 + 952 × 8/17
= 539 + 325 + 448
= 1312
Required percentage = 1206 / 1312 × 100 = 91.92%
Answer is: c)
3). Passed students from Assam in the year 2014, 2015 and 2016
= 870 × 3/5 + 726 × 7/11 + 715 × 8/13
= 522 + 462 + 440
= 1424
Failed students from Maharashtra in the year 2015 and 2016
= 754 × 6/13 + 672 × 5/8
= 348 + 420
= 768
Required percentage = (1424 – 768) / 768 × 100
= 656 / 768 × 100
= 85.41%
Answer is: e)
4). Total failed students from Bihar and Jharkhand
= 986 × 12/29 + 867 × 5/17 + 924 × 13/21 + 810 × 7/15 + 792 × 4/11 + 637 × 3/7
= 408 + 255 + 572 + 378 + 288 + 273
= 2174
Answer is: b)
5). Total no. of passed students from Jharkhand
= 810 × 8/15 + 792 × 7/11 + 637 × 4/7
= 432 + 504 + 364
= 1300
Average = 1/3 × 1300 = 433.33
Total no. of passed students from Haryana
= 847 × 4/11 + 845 × 8/13 + 952 × 9/17
= 308 + 520 + 504
= 1332
Average = 1/3 × 1332 = 444
Required difference = 444 – 433.33
= 10.67
≈ 11
Answer is: c)
6). Total employees in Lawyer
= 26800 × 19/100 = 5092
Number of employees went on strike
= 5092 × 25/100 = 1273
Number of employees not goes to strike
= 5092 − 1273 = 3819
Total employees in Medical
= 26800 × 27/100 = 7236
Required percentage = 3819 / 7236 × 100
= 52.77%
Answer is: b)
7). Total number of teachers
= 26800 × 15/100 = 4020
Number of temporary teachers
= 4020 × 3/5 = 2412
Number of permanent teachers
= 4020 − 2412 = 1608
Total number of engineers
= 26800 × 9/100 = 2412
Required percentage = (2412 – 1608) / 2412 × 100
= 804 / 2412 × 100
= 33.33
Answer is: a)
8). Total employees in management
= 26800 × 17/100 = 268 × 17 = 4556
Female employees
= 4556 × 3/4 = 3417
Male employees
= 4556 − 3417 = 1139
Persons from North India
= 4556 × 1/2 = 2278
Persons from South India = 2278
Required difference = 2278 – 1139
= 1139
Answer is: e)
9). Total employees in engineering
= 26800 × 9/100 = 2412
Total employees in industries
= 26800 × 13/100 = 3484
Total employees in Teaching
= 26800 × 15/100 = 4020
Total employees in Medical
= 26800 × 27/100 = 7236
Total employees in engineering and industries
= 2412 + 3484 = 5896
Total employees in Medical profession and Teaching
= 4020 + 7236 = 11256
Required percentage = 5896 / 11256 × 100
= 52.38%
Answer is: d)
10). Total employees in industries
= 26800 × 13/100 = 3484
25% of persons in industries = 25 / 100 × 3484
= 871
Total employees in engineering including the persons from Industries profession
= 26800 × 9/100 + 871
= 2412 + 871 = 3283
Employees in Lawyer Profession
= 26800 × 19/100 = 5092
Employees in Management
= 26800 × 17/100 = 4556
Total employees in Lawyer and Management
= 5092 + 4556 = 9648
Now, difference between total employees in Lawyer and Management and total employees in Engineering
= 9648 − 3283 = 6365
Answer is: c)
