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Directions (01-05): Read the following information carefully and answer the given questions:
There are two boxes A and B that contain the three different colours of balls i.e. red, yellow and green and the total number of balls in both boxes is 80. The ratio of the total number of balls in box A to box B is 5:3. 30% of the total number of balls is red. The ratio of the number of red balls in box A to box B is 7:5. The number of yellow balls in A is 2 more than the number of red balls in A. The ratio of the number of red balls in B to the number of green balls in B is 5:4.
1) Number of red balls in A is what percent of the number of green balls in A?
A.75%
B.65%
C.70%
D.60%
E.None of these
2) What is the ratio of the number of red balls in B to the number of yellow balls in B?
A.4:5
B.5:6
C.2:3
D.1:2
E.None of these
3) Number of green balls in B is approximately what percent of the total number of green balls in A and B together?
A.25.52%
B.24.53%
C.26.51%
D.27.52%
E.None of these
4) What is the difference between the total number of red balls and yellow balls in all the boxes together?
A.2
B.4
C.5
D.9
E.None of these
5) Find the sum of the number of yellow balls in box A and B together?
A.24
B.28
C.30
D.26
E.None of these
Directions (06-10): Read the following information carefully and answer the given questions:
In a company, there are 2000 employees and the company has three different departments i.e. IT, HR and Sales. The total number of employees in the HR department is 30% of the total number of employees in the company. If the ratio of the number of male to female employees in the IT department is 5:3 and the number of female employees in the HR department is 90% of the number of female employees in the IT department. The ratio of the number of employees in IT department to Sales department is 4:3. The number of male employees in the sales department is 80 less than the number of male employees in IT department.
6) What is the ratio of the number of male to female employees in sales department?
A.2:1
B.7:3
C.9:5
D.5:2
E.None of these
7) The total number of female employees in all the departments together is what percent of the total number of male employees in all the departments together?
A.40%
B.60%
C.75%
D.50%
E.None of these
8) What is the difference between the number of male to female employees in HR department?
A.40
B.50
C.58
D.60
E.48
9) What is the ratio of the total number of employees in HR department to the total number of employees in IT department?
A.1:2
B.2:3
C.3:4
D.4:5
E.5:6
10) What is the sum of the number of male employees in IT department and the number of female employees in Sales department?
A.540
B.560
C.630
D.680
E.720
Answers :
Directions (1-5) :
Total number of balls in A=5/8 * 80=50
Total number of balls in B=3/8 * 80=30
Total number of red balls=30/100 * 80=24
Number of red balls in A=7/12 * 24=14
Number of red balls in B=5/12 * 24=10
Number of yellows in A=14 + 2=16
Number of green balls in A=50 – 14 – 16=20
Number of green balls in B=4/5 * 10=8
Number of yellow balls in B=30 – 10 – 8=12
1) Answer: C
Required percentage = 14/20 * 100 = 70%
2) Answer: B
Required ratio = 10:12
= 5:6
3) Answer: E
Required percentage=8/(20 + 8) *100
=28.57%
4) Answer: B
Total number of red balls=24
Total number of yellow balls=16 + 12=28
Difference=28 – 24=4
5) Answer: B
Sum=16 + 12=28
Directions (6-10) :
Total number of employees in HR department=30/100 * 2000=600
Remaining employees=2000 – 600=1400
Total number of employees in IT department=4/7 * 1400=800
Number of female employees in IT department=3/8 * 800=300
Number of male employees in IT department=5/8 * 800=500
Number of female employees in HR department=300 * 90/100=270
Number of male employees in HR department=600 – 270=330
Total number of employees in Sales department=3/7 * 1400=600
Number of male employees in sales department=500 – 80=420
Number of female employees in sales department=600 – 420=180
6) Answer: B
Required ratio=420:180
=7:3
7) Answer: B
Required percentage=(300 + 270 + 180)/(500 + 330 + 420) * 100
=60%
8) Answer: D
Required Difference=330 – 270=60
9) Answer: C
Required ratio=600:800=3:4
10) Answer: D
Required sum=500 + 180=680
Start Quiz
Directions (11-15): Study the following information carefully and answers the questions given below.
There are three different boxes A, B and C and each box has two different color balls red and blue. The total number of balls in all the three boxes together is 330. The number of red balls in B are 25% of total number of red balls in all the three boxes together. The number of blue balls in A is 50% more than the number of red balls in A. Number of blue balls in B is 62.5% of the number of blue balls in C. Total number of balls in A is equal to the total number of balls in B. The total number of balls is A is 40% less than the total number of balls in C. The number of red balls in C is 24 more than the number of red balls in B.
11) What is the ratio of the number of blue balls in C to the number of red balls in B?
A.16:5
B.11:3
C.17:6
D.18:11
E.None of these
12) The total number of red balls in all the boxes together is approximately what percent of the total number of blue balls in all the boxes?
A.48%
B.53%
C.57%
D.60%
E.45%
13) In box D, the number of blue balls is 20% more than the number of blue balls in B and the number of red balls in D is 50% more than the number of red balls in C, then what is the total number of balls in D?
A.148
B.179
C.187
D.191
E.None of these
14) The number of blue balls in C is approximately what percent of the total number of blue balls in all the boxes together?
A.46%
B.49%
C.43%
D.39%
E.52%
15) Box D has two different color balls. Total number of balls in D is 180 and the number of red balls in D is 76. Which of the following statement is correct?
i)The number of red balls in B is 90 less than the number of blue balls in D
ii)The number of blue balls in C is 8 less than the number of blue balls in D
iii)Â Total number of balls in D is 20% more than the total number of balls in C.
A.Only i
B.Only i and only ii
C.Only ii
D.Only ii and iii
E.All i, ii and iii
Directions (16-20): Study the following information carefully and answer the given questions:
There are three companies-A, B and C and the employees who like two different games cricket and football. The number of employees who like cricket in A is 40% more than the number of employees like cricket in B. The total number of employees in B is 75% of the total number of employees in A and the total number of employees in B is 80% more than the total number of employees in C. The number of employees who like cricket in C and B in the ratio of 3:5. The number of employees who like cricket in A is 40% more than the number of employees who like football in the same company. The total number of employees who like cricket in all the companies together is 1800.
16) Find the total number of employees who like football in all the companies together?
A.1340
B.1350
C.1360
D.1320
E.1330
17) The total number of male and female employees in C is in the ratio of 3:2 and the number of female employees who like cricket and football in C is in the ratio of 5:7. What is the difference between the number of male employees who like cricket and football in C?
A.160
B.170
C.150
D.140
E.None of these
18) What is the total number of employees in all the companies together?
A.3110
B.3080
C.3090
D.3120
E.None of these
19) Ratio of the number of male to female employees who like cricket in B and C is 2:1 and 3:1 respectively. What is the difference between the number of male employees who like cricket in B and C?
A.150
B.180
C.110
D.120
E.130
20) What is the ratio of the number of employees who like Football in A to the total number of employees in C?
A.1:1
B.1:2
C.3:1
D.2:1
E.1:3
Answers :
Directions (11-15) :
Total number of balls = 330
Total number of balls in A = Total number of balls in B
Total number of balls in C = 5a
Number of balls in A = 5a * 60/100 = 3a
5a + 3a + 3a = 330
a = 30
Total number of balls in A = 3 * 30 = 90
Total number of balls in B = 90
Total number of balls in C = 5 * 30 = 150
Ratio of the number of red to blue balls in A = 100:150 = 2:3
Number of blue balls in A = 3/5 * 90 = 54
Number of red balls in A = 2/5 * 90 = 36
Total number of red balls = x
Number of red balls in B = 25/100 * x = x/4
Number of red balls in C = x/4 + 24
x/4 + x/4 + 24 + 36 = x
60 = x – x/2
60 = x/2
x = 120
Number of red balls in B = 120/4 = 30
Number of red balls in C = 30 + 24 = 54
Total number of blue balls = 330 – 120 = 210
Number of blue balls in C = y
Number of blue balls in B = y * 62.5/100
y + y * 62.5/100 + 54 = 210
Number of blue balls in C = y = 96
Number of blue balls in B = 96 * 62.5/100 = 60
11) Answer: A
Required ratio = 96:30
= 16:5
12) Answer: C
Requires percentage = 120/210 * 100 = 57%
13) Answer: E
Number of blue balls in D = 120/100 * 60 = 72
Number of red balls in D = 150/100 * 54 = 81
Total number of balls in D = 72 + 81 = 153
14) Answer: A
Required percentage = 96/210 * 100 = 46%
15) Answer: D
i) Number of blue balls in D = 180 – 76 = 104
Number of red balls in B = 30
This is not correct.
ii) Number of blue balls in C = 96, is correct
iii) Total number of balls in C = 150
Total number of balls in D = 120/100 * 150 = 180, is correct.
Directions (16-20) :
Number of employees who like Cricket in B = x
Number of employees who like Cricket in A = x * 140/100 = 7x/5
Number of employees who like Cricket in C= 3/5 * x = 3x/5
x + 7x/5 + 3x/5 = 1800
5x + 7x + 3x = 9000
x = 600
Number of employees who like Cricket in B = 600
Number of employees who like Cricket in A = 7/5 * 600 = 840
Number of employees who like Cricket in C = 3/5 * 600 = 360
Number of employees who like Football in A = 100/140 * 840 = 600
Total number of employees in A = 600 + 840 = 1440
Total number of employees in B = 75/100 * 1440 = 1080
Total number of employees in C = 100/180 * 1080 = 600
Number of employees who like Football in B = 1080 – 600 = 480
Number of employees who like Football in C = 600 – 360 = 240
16) Answer: D
Total number of employees like football = 480 + 240 + 600 = 1320
17) Answer: A
Number of male employees in C = 3/5 * 600 = 360
Number of female employees in C = 2/5 * 600 = 240
Number of female like cricket in C = 5/12 * 240 = 100
Number of female like football in C = 7/12 * 240 = 140
Number of male like cricket in C = 360 – 100 = 260
Number of male like football in C = 240 – 140 = 100
Difference = 260 – 100 = 160
18) Answer: D
Total number of employees in A = 600 + 840 = 1440
Total number of employees in B = 75/100 * 1440 = 1080
Total number of employees in C = 100/180 * 1080 = 600
Required total = 1440 + 1080 + 600 = 3120
19) Answer: E
Number of male like cricket in B = 2/3 * 600 = 400
Number of male like cricket in C = 3/4 * 360 = 270
Required Difference = 400 – 270 = 130
20) Answer: A
Required ratio = 600: 600
= 1:1
Start Quiz
Directions (21-25): Study the following information carefully and answer the questions given below.
Total number of students in 5 different schools A, B, C, D and E together is 3000 and the ratio of the boys to girls is 3:2. Number of girls from C is 60 less than the number of boys from D. Number of boys from A is 25% of the total number of boys. Ratio of the number of girls from D to C is 6:5. Number of boys from D is 240 and the total number of students from A is 900. Ratio of the number of boys from C to E is 2:3 and the total number of students from B is 24% of the total number of students from all the schools together. The Ratio of the number of boys to girls from B is 5:4.
21) What is the difference between the number of boys from E and the number of girls from B?
A.116
B.126
C.105
D.106
E.108
22) Number of girls from E is what percent of the total number of students from D?
A.6.87%
B.4.78%
C.7.45%
D.9.25%
E.3.33%
23) What is ratio of the average number of boys from A, B, C and E together and average number of girls from B, D and E together?
A.39:19
B.29:9
C.21:1
D.37:17
E.None of these
24) Number of boys from D is approximately what percent of the total number of students from C?
A.48%
B.52%
C.44%
D.56%
E.40%
25) What is the difference between the number of girls from A and the number of girls from C?
A.250
B.260
C.270
D.360
E.220
Directions (26-30): Read the following information carefully and answer the given questions.
There are four hostels i.e. A, B, C and D.
In hostel A:Â Number of boys are 120 and the number of girls are 30% more than the number of girls in hostel B
In hostel B:Â Number of boys are double the number of girls.
In hostel C:Â Number of boys are 100 more than that of boys in hostel A and total number of boys and girls in C is 1000.
In hostel D: Number of boys is equal to the average number of boys in B and C. Average of number of girls of hostel A and that of hostel D is 223. Number of girls in hostel A is 98 less that of boys in hostel B.
26) Find difference between the total number of boys and girls together in hostel A and that in hostel D?
A.216
B.218
C.212
D.106
E.144
27) Difference between the number of boys and girls in hostel D is what percent of the difference between boys and girls in hostel B?
A.20%
B.30%
C.25%
D.10%
E.15%
28) Find ratio of the total number of boys and girls together in hostel B to that of in hostel C?
A.21: 5
B.2: 51
C.7: 19
D.3: 50
E.21: 50
29) Total number of boys in hostel B and that of girls in hostel A is what percent more than the number of girls in hostel D?
A.70%
B.25%
C.50%
D.37.5%
E.75%
30) If 30 Girls from hostel A, C and D left their hostel, then find the total number of remaining Girls in hostel A, C and D?
A.1136
B.1184
C.1110
D.1906
E.1096
Answers :
Directions (21-25) :
Total number of students = 3000
Total number of boys = 3/5 * 3000 = 1800
Total number of girls = 2/5 * 3000 = 1200
Total number of students from A = 900
Number of boys from A = 25/100 * 1800 = 450
Number of girls from A = 900 – 450 = 450
Number of boys from D = 240
Number of girls from C = 240 – 60 = 180
Number of girls from D = 6/5 * 180 = 216
Total number of students from D = 240 + 216 = 456
Total number of students from B = 24/100 * 3000 = 720
Number of boys from B = 5/9 * 720 = 400
Number of girls from B = 4/9 * 720 = 320
Number of boys from E and C = 1800 – 400 – 240 – 450 = 710
Number of boys from E = 3/5 * 710 = 426
Number of boys from C = 2/5 * 710 = 284
Total number of students from C = 180 + 284 = 464
Number of girls from E = 1200 – 180 – 320 – 216 – 450 = 34
Total number of students from E = 34 + 426 = 460
21) Answer: D
Difference = 426 – 320 = 106
22) Answer: C
Required percentage = 34/456 * 100 = 7.45%
23) Answer: A
Average boys from A, B, C and E = (450 + 400 + 284 + 426)/4 = 390
Average girls from B, D and E = (320 + 34 + 216)/3 = 190
Required ratio = 390:190
=39:19
24) Answer: B
Required percentage = (240/464) *100 = 52%
25) Answer: C
Difference = 450 – 180 = 270
Directions (26-30) :
In hostel A:
Boys = 120
Girls = 130% of girls in B
In hostel B:
Boys: Girls = 2: 1 (2x, x)
In hostel C:
Boys = 120 + 100 = 220
Girls = 1000 – 220 = 780
In hostel D:
Boys = (2x + 220)/2 = x + 110
Given that,
2x – 130% of x = 98
0.7x = 98
x = 140
Then
Girls in A = 130/100 * 140 = 182
Boys in B = 2 * 140 = 280
Girls in B = 140
Boys in D = 140 + 110 = 250
Girls in D = 223 * 2 – 182   (Average of girls in A and D = 223)
= 264
26) Answer:Â C
Required difference = (250 + 264) – (120 + 182) = 212
27) Answer:Â D
Required % = [(264 – 250)/(280 – 140)] * 100 = 14/140 * 100 = 10%
28) Answer:Â E
Required ratio = (280 + 140): 1000 = 21: 50
29) Answer:Â E
Required % = (280 + 182 – 264)/264 * 100 = 75%
30) Answer:Â A
Required total= [(182 + 780 + 264) – (3 * 30)] = 1136
Start Quiz
Directions (31-35): Study the following information carefully and answer the questions given below.
A company has four departments HR, IT, Sales and Finance. The number of male employees in HR department is double the number of female employees in IT department. The number of female employees in Finance department is 50% of the number of female employees in HR department. Total number of employees in Finance department is 360. The number of male employees in Sales department is 60 more than the number of female employees in Finance. The number of male employees in IT department is equal to the total number of employees in finance department. Total number of employees in HR is 80 more than the total number of employees in IT. The number of female employees in Sales is 50% of the number of male employees in IT department. The number of male to female employees in Sales department is 11:9.
31) What is the total number of employees in the company?
A.1800
B.1600
C.2000
D.1400
E.None of these
32) The number of female employees in IT is what percent of the total number of employees in Sales?
A.20%
B.25%
C.30%
D.35%
E.None of these
33) What is the difference between the total number of male employees and female employees in all the departments together?
A.210
B.220
C.230
D.240
E.None of these
34) The number of male employees in Finance department is approximately what percent of the total number of employees in HR?
A.36%
B.39%
C.42%
D.45%
E.48%
35) Ratio of the number of undergraduate to postgraduate employees in Sales department is 3:2. Out of 45% of male employees in sales departments is postgraduate. Find the number of female postgraduate employees in Sales department.
A.59
B.61
C.63
D.65
E.67
Directions (36-40): Study the following information carefully and answer the questions given below.
There are total 3200 employees in the company. The number of HR in the company is 40% less than the number of sales employees. Ratio of the number of male to female employees in IT department 7:3 and the total number of female employees in the company is 1410. Total number of Finance employees is 1200 and the ratio of the total number of employees in IT to finance is 1:3. The number of female employees in Sales department is 50% more than the number of male employees in sales department. Total number of female employees in HR department is 240.
36) What is the difference between the total number of employees in IT and number of female employees in Sales?
A.100
B.160
C.200
D.240
E.300
37) What is the ratio of the average of number of male employees in HR and sales together to the average number of female employees in Finance and IT together?
A.76:59
B.76:57
C.73:57
D.71:56
E.None of these
38) The number of male employees in Finance is what percent of the total number of employees in Sales department?
A.45%
B.55%
C.65%
D.75%
E.80%
39) Total number of employees in HR department is what percent of the total number of employees in the company?
A.12.5%
B.15.75%
C.18.75%
D.20.50%
E.None of these
40) What is the ratio of the total number of employees in Finance to Sales?
A.4:3
B.5:4
C.2:1
D.6:5
E.None of these
Answers :
Directions (31-35) :
Number of male employees in IT department = 360
Number of female employees in Sales department = 360 * 50/100 = 180
Number of male employees in Sales department = 11/9 * 180 = 220
Number of female employees in Finance department = 220 – 60 = 160
Number of male employees in Finance department = 360 – 160 = 200
Number of female employees in HR department = 100/50 * 160 = 320
Number of female employees in IT department = x
Number of male employees in HR department = 2x
2x + 320 – (x + 360) = 80
x = 120
Number of female employees in IT department = 120
Number of male employees in HR department = 2 * 120 = 240
Total number of employees in HR department = 240 + 320 = 560
Number of employees in IT department = 360 + 120 = 480
Number of employees in Sales department = 220 + 180 = 400
31) Answer: A
Total number of employees = 560 + 480 + 400 + 360 = 1800
32) Answer: C
Required percentage = 120/400 * 100 = 30%
33) Answer: D
Total male employees = 240 + 360 + 220 + 200 = 1020
Total female employees = 320 + 120 + 180 + 160 = 780
Difference = 1020 – 780 = 240
34) Answer: A
Required percentage = 200/560 * 100 = 36%
35) Answer: B
Number of postgraduate employees in Sales department = 2/5 * 400 = 160
Number of postgraduate male employees = 45/100 * 220 = 99
Number of postgraduate female employees = 160 – 99 = 61
Directions (36-40) :
Total number of employees = 3200
Total number of female employees = 1410
Total number of male employees = 3200 – 1410 = 1790
Total number of Finance employees = 1200
Total number of IT employees = 1/3 * 1200 = 400
Number of male IT employees = 400 * 7/10 = 280
Number of female IT employees = 400 * 3/10 = 120
Total number of female HR employees = 240
Total number of employees in HR and Sales = 3200 – 1200 – 400 = 1600
Number of employees in sales = x
Number of employees in HR = x * 60/100 = 3x/5
x + 3x/5 = 1600
8x = 1600 * 5
x = 1000
Number of employees in HR = 3 * 1000/5 = 600
Number of male employees in sales = a
Number of female employees in Sales = a * 150/100 = 3a/2
a + 3a/2 = 1000
5a = 2000
a = 400
Number of female employees in sales = 1200/2 = 600
Number of male employees in HR = 600 – 240 = 360
Number of female employees in Finance = 1410 – 240 – 600 – 120 = 450
Number of male employees in Finance = 1200 – 450 = 750
36) Answer: C
Difference = 600 – 400 = 200
37) Answer: B
Required ratio = ((360 + 400)/2):((450 + 120)/2)
= 380:285
= 76:57
38) Answer: D
Required percentage = 750/1000 * 100 = 75%
39) Answer: C
Required percentage = 600/3200 * 100 = 18.75%
40) Answer: D
Required ratio = 1200:1000
= 6:5
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