Averages Problems for SSC CGL

1.

Average of 13 results is 65. If the average of first six results is 61 and average of last six results is 59. Then find the seventh result? 

   A.) 135
   B.) 125
   C.) 115
   D.) 105

Answer: Option 'B'

Given,Average of 13 results is 65.
Total result = Average * No. of results
=> Total result = 13 x 65 = 845
Given,average of first six results = 61
=> Total of first six = 61 * 6 = 366 and
Given,average of last six results is 59
=> Total for last six = 59 * 6 = 354
Then,
Seventh result = Total result – (Total of first six + Total for last six)
= 845 - ( 366 + 354 )
= 125
Therfore, Seventh result = 125

2.

In a class of 37, the overall weight of the students is 997. Can you find the average weight of students in the class?

   A.) 26.95
   B.) 28.3
   C.) 29.65
   D.) 25.6

Answer: Option 'A'

Use the below formula to find the average weight of the class Average Weight = ( Total Weight of Class / Total Number of Students) Average Weight = ( 997/37) = 26.95

3.

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age ? 

   A.) 2 3/4 times
   B.) 2 times
   C.) 2 1/2 times
   D.) 3 times

Answer: Option 'B'

Let Ronit's present age be x years.
Then, father's present age =(x + 3x) years = 4x years.
Therefore, (4x + 8) = 5/2 (x + 8 )
=> 8x + 16 = 5x + 40
=> 3x = 24
=> x = 8.
Hence, required ratio = (4x + 16)/ (x + 16 )
= 48 / 24 = 2 .

4.

In the first 35 overs of a cricket game, the run rate was only 6.4. What should be the run rate in the remaining 15 overs to reach the target of 410 runs?

   A.) 12.4
   B.) 13.4
   C.) 15.25
   D.) 17.25

Answer: Option 'A'

Required Run rate = ( 410 - ( 6.4 x 35 ) )/ (15) 
= ( 186) /(15) = 12.4

5.

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? 

   A.) 2 years
   B.) 4 years
   C.) 6 years
   D.) 8 years

Answer: Option 'C'

Given
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 36) years = 6 years.

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