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Approximation
Direction (1 – 5): What is the approximate value should come in place of question mark in the following questions?
1) 39.912 % of 79.908 + √3969.12 * 4.897 – 12.190 * 7.198 = ?
a) 263
b) 267
c) 271
d) 277
e) 281
2) 1899.981 ÷ √1444.12 – 119.910 % of 34.975 + 4.932 * 104.292=?
a) 521
b) 528
c) 537
d) 533
e) 546
3) 83.339 % of 102.198 + 45.4545 % of 186.978 + ? = 49.912 * 3.189
a) -10
b) -15
c) -20
d) -5
e) -25
4) 174.879 + ? * 43.134 = 194.972 % of 199.894
a) 2
b) 5
c) 8
d) 11
e) 0
5) ? % of 4300.08 = 16.66% of 3599 + 15.03% of 300
a) 23
b) 25
c) 17
d) 15
e) 13
Data Interpretation
Direction (6 – 10): Study the following information carefully and answer the given questions?
The given line graph shows the number of employees in three different department from five different companies – A, B, C, D and E in 2015.
6) If the number of employees in IT department in each company increased by 40% and the number of employees in Sales department in each company decreased by 20% from 2015 to 2016. Ratio of the number of male to female employees in IT department and sales department in 2016 is 3: 2 and 5: 3 respectively. What is the difference between the number of female employees in IT and sales department together and the number of male employees in IT and sales department together?
a) 384
b) 376
c) 398
d) 372
e) 386
7) What is the difference between the total number of employees in HR department from all the companies together and the total number of employees in sales department from all the companies together?
a) 100
b) 150
c) 200
d) 250
e) None of these
8) If the number of employees from C, D and E in HR department increased by 10%, 20% and 20% respectively from 2015 to 2016. If the ratio of the male to female employees in HR department from C, D and E in 2016 is 2: 3, 1: 2 and 2: 3 respectively, then what is the number of male employees in HR department from C, D and E in 2016 together is approximately what percent of the number of female employees in HR department from C, D and E in 2016 together?
a) 60%
b) 62%
c) 64%
d) 66%
e) 69%
9) In A, C and E ratio of the male to female employees in IT department is 7: 8, 3: 2 and 2: 1 respectively. What is the ratio of the total number of female employees in IT department from A, C and E together to the total number of male employees in IT department from A, C and E together?
a) 11: 16
b) 12: 19
c) 17: 23
d) 3: 4
e) None of these
10) What is the ratio of the total number of employees from B in all the departments together to the total number of employees from D in all the departments together?
a) 7: 5
b) 11: 9
c) 13: 11
d) 16: 13
e) None of these
Answers :
Directions (1-5) :
1) Answer: A
39.912 % of 79.908 + √3969.12 * 4.897 – 12.190 * 7.198 = ?
40 % of 80 + √3969 * 5 – 12 * 7 = ?
32 + 315 – 84 = ?
263 = ?
2) Answer: B
1899.981 ÷ √1444.12 – 119.910 % of 34.975 + 4.932 * 104.292 = ?
1900 ÷ √1444 – 120% of 35 + 5 * 104 = ?
50 – 42 + 520 = ?
528 = ?
3) Answer: C
83.339 % of 102.198 + 45.4545 % of 186.978 + ? = 49.912 * 3.189
5/6 * 102 + 5/11 * 187 + ? = 50 * 3
85 + 85 + ? = 150
? = – 20
4) Answer: B
174.879 + ? * 43.134 = 194.972 % of 199.894
175 + ? * 43 = 195% of 200
175 + ? * 43 = 390
? = 5
5) Answer: D
? % of 4300.08 = 16.66% of 3599 + 15.03% of 300
x * 43 = 1/6 * 3600 + 15 * 3
x = 645/43 = 15
Directions (6-10) :
6) Answer: A
Number of employees in IT department from A in 2016 = 150 * 140/100 = 210
Number of employees in IT department from B in 2016 = 200 * 140/100 = 280
Number of employees in IT department from C in 2016 = 100 * 140/100 = 140
Number of employees in IT department from D in 2016 = 200 * 140/100 = 280
Number of employees in IT department from E in 2016 = 150 * 140/100 = 210
Total number of employees in IT department in 2016
= 210 + 280 + 140 + 280 + 210 = 1120
Male employees in IT department in 2016 = 3/5 * 1120 = 672
Female employees in IT department in 2016 = 2/5 * 1120 = 448
Number of employees in Sales department from A in 2016 = 100 * 80/100 = 80
Number of employees in Sales department from B in 2016
= 250 * 80/100 = 200
Number of employees in Sales department from C in 2016
= 150 * 80/100 = 120
Number of employees in Sales department from D in 2016 = 100 * 80/100 = 80
Number of employees in Sales department from E in 2016
= 200 * 80/100 = 160
Total number of employees in sales department in 2016
= 80 + 200 + 120 + 80 + 160 = 640
Male employees in sales department in 2016 = 5/8 * 640 = 400
Female employees in sales department in 2016 = 3/8 * 640 = 240
Male employees in sales and IT department = 400 + 672 = 1072
Female employees in sales and IT department = 240 + 448 = 688
Difference = 1072 – 688 = 384
7) Answer: B
Total number of employees in HR department
= 200 + 100 + 250 + 150 + 250 = 950
Total number of employees in sales department
= 100 + 250 + 150 + 100 + 200 = 800
Difference = 950 – 800 = 150
8) Answer: B
Number of employees in HR department from C in 2016
= 250 * 110/100 = 275
Number of male employee in HR department from C in 2016
= 2/5 * 275 = 110
Number of female employees in HR department from C in 2016
= 275 * 3/5 = 165
Number of employees in HR department from D in 2016
= 150 * 120/100 = 180
Number of male employee in HR department from D in 2016
= 1/3 * 180 = 60
Number of female employees in HR department from D in 2016
= 2/3 * 180 = 120
Number of employees in HR department from E in 2016 = 250 * 120/100 = 300
Number of male employee in HR department from E in 2016 = 2/5 * 300 = 120
Number of female employees in HR department from E in 2016
= 3/5 * 300 = 180
Required percentage = (110 + 60 + 120)/(165 + 120 + 180) * 100 = 62%
9) Answer: C
Number of male employee in IT department from A in 2015 = 150 * 7/15 = 70
Number of female employees in IT department from A in 2015
= 150 * 8/15 = 80
Number of male employee in IT department from C in 2015 = 3/5 * 100 = 60
Number of female employees in IT department from C in 2015 = 2/5 * 100 = 40
Number of male employee in IT department from E in 2015 = 2/3 * 150 = 100
Number of female employees in IT department from E in 2015 = 1/3 * 150 = 50
Required ratio = (80 + 40 + 50) : (70 + 60 + 100)
= 170 : 230
= 17 : 23
10) Answer: B
Required ratio = (200 + 100 + 250): (200 + 150 + 100)
= 550 : 450
= 11 : 9
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