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Directions (01-05): Study the following information carefully and answer the questions given below.
There are two boxes A and B and each box has three different color balls (Blue, Yellow, Red). The number of blue balls in B is 20% more than the number of yellow balls in A. Total number of balls in A is 180. The total number of blue balls in A and B together is 50% more than the number of yellow balls in B. The ratio of the number of red balls in A and B together to total number of balls in A is 13:18. The number of yellow balls in B is 37(7/9)% of the total number of balls in A. The number of red balls in A is 18 more than the number of blue balls in B.
1) The number of blue balls in B is what percent of the number of red balls in A?
A.80%
B.75%
C.90%
D.78%
E.70%
2) What is the difference between the number of yellow balls in A and the number of red balls in B?
A.10
B.20
C.30
D.35
E.15
3) What is the ratio of the total number of balls in A to B?
A.2:1
B.1:2
C.1:1
D.2:3
E.None of these
4) If the ratio of the total number of yellow balls in A and B together to C is 8:3 and the number of blue balls in C is 20% more than the number of blue balls in A. If the number of red balls in C is equal to the number of red balls in B, then find the total number of balls in C?
A.118
B.124
C.128
D.112
E.132
5) What is the ratio of the number of red, yellow and blue balls in both the boxes together?
A.65:64:51
B.63:62:51
C.68:64:51
D.65:62:51
E.65:64:53
Direction (6-10): Read the following information carefully and answer the questions.
Ratio of the number of male and female employees in company A is 4:3 respectively. Total number of employees in company C is 120 less than that of company A. Total number of employees in company B is 25% more than that of company D. In company B, the number of female employees is 90 more than that of males. Ratio of the number of male to female employees in company D is 7:5 respectively. Average number of male employees in companies A and C together is 110. Total number of employees in company D is six times the number of male employees in company C. Total number of employees in company C is 160.
6) If the ratio of the number of male employees in companies B and E is 6:7 respectively and the number of female employees in company E is 20% more than that of company D, then find the total number of employees in company E.
A.390
B.330
C.310
D.360
E.None of these
7) Number of male employees in companies A and D together is how much more than the number of female employees in company B?
A.210
B.350
C.240
D.100
E.None of these
8) Out of the total number of employees in company B, 20% of the employees are PG and the remaining employees are UG. If the ratio of the number of male employees in company B for UG to PG is 7:2, then find the number of female employees in company B are UG.
A.310
B.170
C.220
D.100
E.None of these
9) Find the difference between the total number of employees in company B and the number of female employees in companies A and C together.
A.170
B.230
C.310
D.350
E.None of these
10) Find the ratio of the total number of employees in company C to the average number of male employees in companies B and C together.
A.4:3
B.2:1
C.5:6
D.7:8
E.None of these
Answers :
Directions (1-5) :
The number of yellow balls in A = 5x
Number of blue balls in B = 5x * 120/100 = 6x
Total number of balls in A = 180
Number of yellow balls in B = 340/900 * 180 = 68
Total number of blue balls in A and B = 150/100 * 68 = 102
Number of red balls in A = 6x + 18
Number of blue balls in A = 180 – (5x + 6x + 18) = 162 – 11x
6x + 162 – 11x = 102
x = 12
Number of red balls in A = 6 * 12 + 18 = 90
Number of blue balls in A = 162 – 11 * 12 = 30
Number of yellow balls in A = 5 * 12 = 60
Number of blue balls in B = 6 * 12 = 72
Number of yellow balls in B = 68
Total number of red balls in A and B = 13/18 * 180 = 130
Number of red balls in B = 130 – 90 = 40
1) Answer: A
Required percentage = 72/90 * 100= 80%
2) Answer: B
Required difference = 60 – 40 = 20
3) Answer: C
Total number of balls in A = 180
Total number of balls in B = 72 + 68 + 40 = 180
Required ratio = 180:180 = 1:1
4) Answer: B
Number of yellow balls in C = (60 + 68) * 3/8 = 48
Number of blue balls in C = 30 * 120/100 = 36
Number of red balls in C = 40
Required total = 40 + 36 + 48 = 124
5) Answer: A
Required ratio = 130:128:102
= 65:64:51
Directions (6-10) :
Total number of employees in company C=160
Total number of employees in company A=160+120=280
Number of male employees in company A=280*4/7=160
Number of female employees in company A=280-160=120
Number of male employees in company C=110*2-160=60
Number of female employees in company C=160-60=100
Total number of employees in company D=60*6=360
Number of male employees in company D=360*7/12=210
Number of female employees in company D=360-210=150
Total number of employees in company B=360*125/100=450
Number of male employees in company B=180
Number of female employees in company B=450-180=270
6) Answer: A
Number of male employees in company E=180*7/6=210
Number of female employees in company E=150*120/100=180
Required sum=180+210=390
7) Answer: D
Required difference=160+210-270=100
8) Answer: C
Total number of employees in company B are UG=450*80/100=360
Number of male employees in company B are UG=180*7/9=140
Number of female employees in company B are UG=360-140=220
9) Answer: B
Find the difference between=450-120-100=230
10) Answer: A
Average number of male employees in companies B and C=(180+60)/2=120
Required ratio=160:120=4:3
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