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1) Average weight of five persons is 51 kg and each of them in different weights. If the average weight of heaviest and lightest persons is 52 kg and the average weight of second heaviest and fourth heaviest persons is 48 kg, then find the weight of the third lightest person?
A.63 kg
B.48 kg
C.32 kg
D.55 kg
E.None of these
2) Average weight of A, B and C is 44 kg. If the average weight of A, B and C is 10% more than the average weight of A, B, C, D and E, then find the weight of D and E together?
A.68 kg
B.48 kg
C.56 kg
D.72 kg
E.None of these
3) Ratio of the height of A and B is 9:7 and the height of C is 66.67% of the height of A. If the difference between the height of B and C is 21 cm, then find the average height of A and B together?
A.136 cm
B.124 cm
C.145 cm
D.168 cm
E.None of these
4) If the weight of A is 8 kg more than that of B and the weight of C is 12 kg more than that of D and the weight of D is 12 kg more than that of B. If the weight of D is 60 kg, then find the average weight of B, C and D together?
A.72 kg
B.56 kg
C.60 kg
D.48 kg
E.None of these
5) The weight of A is 28.56% less than that of B and the weight of C is 25% more than that of B. If the average weight of A, B and C is 83 kg, then find the average weight of A and B together?
A.63 kg
B.84 kg
C.45 kg
D.72 kg
E.None of these
6) The average salary of the whole employees in a company is Rs. 300 per day. The average salary of officers is Rs. 800 per day and that of clerks is Rs. 240 per day. If the number of officers is 30, then find the number of clerks in the company?
A.180
B.160
C.220
D.250
E.None of these
7) Total number of matches in the series is 6. The average runs scored by Rahul in first 3 matches are 51 runs and the average runs scored by Rahul in last 4 matches are 57 runs. If the total runs scored by Rahul from all the matches together are 324 runs, then find the runs scored by Rahul in the third match?
A.65 runs
B.66 runs
C.57 runs
D.59 runs
E.None of these
8) There are certain numbers of students in a class and the average weight of  30 boys is 10 kg more than the average weight of 20 girls. If the total weight of 20 girls is 600 kg, then find the average weight of students in the class?
A.28 kg
B.54 kg
C.42 kg
D.36 kg
E.None of these
9) 15 students in the class and the ratio of the boys to girls in the class is 1: 2. The average ages of the class is 24 years, average age of the boys is 16 years and the average age of the girls is x years. Find the value of x?
A.28
B.26
C.24
D.20
E.None of these
10) The average weight of Arul, Tinu, Kavi and Divya is 68 kg. Ratio of the weight of Arul to Tinu is 6:5 and Arul’s is weight is 48 kg, then what is the average weight of Kavi and Divya?
A.88 kg
B.90 kg
C.92 kg
D.94 kg
E.None of these
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Answers :
1) Answer: D
Weight of third lightest person=x
51*5=52*2+48*2+x
255-200=x
x=55 kg
2) Answer: A
The average weight of A, B and C=44 kg
The average weight of A, B, C, D and E=44*100/110=40 kg
The weight of D and E=40*5-44*3=68 kg
3) Answer: D
A = 9x
B = 7x
C = 9x *2/3 = 6x
7x – 6x = 21
x= 21 cm
A = 9 * 21 = 189 cm
B = 7 * 21 = 147 cm
Required average=(189 + 147)/2 = 336/2 = 168 cm
4) Answer: C
D = 60 kg
B = 60-12 = 48 kg
A = 48 + 8 = 56 kg
C = 60 + 12 = 72 kg
Required average=(60 + 48 + 72)/3 = 180/3 = 60 kg
5) Answer: D
Let the weight of B=14x kg
The weight of A=14x*5/7=10x kg
The weight of C=14x*125/100=17.5x kg
14x+10x+17.5x=83*3
41.5x=249
x=6
The weight of A=10*6=60 kg
The weight of B=14*6=84 kg
Required average=(60+84)/2=72 kg
6) Answer: D
Let the number of clerks in the company be x,
800*30 + 240*x = 300(30 + x)
24000 + 240x = 9000 + 300x
15000 = 60x
x = 15000/60 = 250
Total number of clerks in the company = 250
Shortcuts:
= > 3: 25
3’s = 30
1’s = 10
Total number of clerks in the company = 25’s = 250
7) Answer: C
Total runs = 324
First 3 Matches = 51 * 3 = 153
Last 4 Matches = 57 * 4 = 228
Run scored in the third match = 153 + 228 – 324 = 57 runs
8) Answer: D
Total weight of 20 girls=600 kg
Average weight of 20 girls=600/20=30 kg
Average weight of boys=30+10=40 kg
Total weight of boys=30*40=1200
Required average=(1200+600)/(30+20)=1800/50=36 kg
9) Answer: A
Boys = 1/3 * 15 = 5
Girls = 2/3 * 15 = 10
Total age of the class = 15 * 24 = 360 years
Total age of the boys = 5 * 16 = 80 years
Total age of the girls = 10 * x = 10x
360 = 80 + 10x
280 = 10x
x = 28 years
10) Answer: C
Arul + Tinu + Kavi + Divya = 68 * 4 = 272
Arul weight = 48 kg
Tinu weight = 5/6 * 48 = 40 kg
Kavi + Divya = 272 – 48 – 40 = 184
Average of Kavi and Divya = 184/2 = 92 kg