BANK & INSURANCE (AVERAGE) PART 1

Total Questions: 45

21. If the difference between the average of 1st, 2nd and 3rd is 12, then find the difference between 1st and 3rd number?

Correct Answer: (e) 24
Solution:Let the 1st number is a, 2nd number is b and 3rd number is c.
According to the question, (a+b)/2 – (b+c)/2=12
a+b-c=24 , a-c=24
So difference of first and third number is 24

22. The average of 8 numbers is 14. The average of 6 of these numbers is 16. What is the average of the remaining two numbers?

Correct Answer: (d) 8  
Solution:Sum of 8 numbers is =14 × 8=112
Sum of 6 numbers is=6 × 16=96
So sum of remaining two is=112-96=16
So average of remaining two is=16/2=8

23. The average marks of 30 students in a class is 47. While checking two errors were noticed after correction, one student got 45 marks more and others 12 marks less. What is the correct average?

Correct Answer: (c) 45.9
Solution:Total marks of 30 students is=47 × 30=1410
After correction total marks of 30 student is=1410 – 45 + 12=1377
So new average of 30 student is=1377/30=45.9

24. Average age of 32 students in a class is 14 years. The age of their teacher is 41 years, what is the average age of the students and teacher combined?

Correct Answer: (b) 14.81  
Solution:Total age of 32 student of the class is=32 × 14=448
Total age when teacher included is=448+41=489
So average when teacher included is=489/33=14.81

25. Average age of 10 children is 9 years. The average age of 9 children is 8.8 years. What is the age of the tenth child?

Correct Answer: (a) 10.8  
Solution:Total age of 10 children is=10 × 9=90
Total age of 9 children is=9 × 8.8=79.2
Age of 10th children is=90-79.2=10.8

26. Average age of father and six children is 14 years, which is reduced by 4 years if the age of father is excluded. Find the age of the father?

Correct Answer: (e) 38
Solution:Total age of father and six children is=7 × 14=98
Total age of six children is=6 × 10=60
So age of father is 98-60=38

27. The average age of three boys is 15 years. If their ages are in the ratio 3:5:7. What is the age of the youngest one?

Correct Answer: (d) 9  
Solution:Total age of three boys is 15 × 3=45
So their age is 3x, 5x, 7x
So 15x=45, x=3
So, age of youngest one is=3 × 3=9

28. The average weight of X, Y and Z is 58. If average weight of X and Y is 52 and Y and Z is 59 then find the weight of Y?

Correct Answer: (c) 48
Solution:Total weight of X,Y and Z is=58 × 3=174
Total weight of X and Y=52 × 2=104
So weight of Z is=70
Total weight Y and Z is=59 × 2=118
So weight of Y is=118-70=48

29. The batting average of a cricket player for 64 innings is 62 runs. His highest score exceeds his lowest score by 180 runs. Excluding these two innings the average of remaining innings becomes 60 runs. What was his highest score?

Correct Answer: (b) 214  
Solution:Total run in 64 innings is=64 × 62=3968
Total run in 62 innings is=62 × 60=3720
So highest score + lowest score=3968-3720=248
Let lowest runs is x, so highest runs is=180+x
So, x+x+180=248
So,2x=68 or, x=34
Highest score is=180+34=214

30. Average age of 5 boys is 14 years. Average of 3 other is 19 years. Find the average age of all 8 boys?

Correct Answer: (a) 15.875  
Solution:Total age of 5 boys is=14 × 5=70
Total age of 3 boys is=19 × 3=57
Total age of 8 boys=70+57=127
So average age is=127/8=15.875