Question : The average mark scored by 8 boys is 72. If the scores of three girls are also included, the average marks increase by 3. The average marks scored by the three girls are:
Option 1: 95
Option 2: 83
Option 3: 78
Option 4: 68
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Correct Answer: 83
Solution : The average mark scored by 8 boys is = 72 If the scores of three girls are also included, The average marks increase by = 3 Average = $\frac{\text{Sum of all the observations}}{\text{Total no. of observations}}$ Let the average marks of the three girls be $x$. Then, the total average is, 75 = $\frac{(72\times 8)+3\text{$x$}}{11}$ Solving for $x$, $x$ = $\frac{(75\times 11)-(72\times8)}{3}$ = 83 $\therefore$ The average mark of the three girls is 83. Hence, the correct answer is 83.
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Question : In a match, the average number of runs scored by 4 batsmen is 48. If the runs scored by three batsmen are 58, 28, and 24, respectively, how many runs did the fourth player score?
Option 1: 68
Option 2: 82
Option 3: 72
Option 4: 94
Question : 4 boys and 3 girls spent Rs. 120 on an average, of which boys spent Rs. 150 on an average. Then the average amount spent by the girls is:
Option 1: Rs. 80
Option 2: Rs. 60
Option 3: Rs. 90
Option 4: Rs. 100
Question : The average mark obtained by 19 boys in a college is 48. If the highest and lowest marks obtained are removed, the average is reduced by 4. What is the average of the highest and lowest marks obtained?
Option 1: 76
Option 2: 80
Option 3: 84
Option 4: 82
Question : In a college, the ratio of the number of boys to girls is 3 : 8. If there are 180 boys, then how many girls are in the college?
Option 1: 380
Option 2: 480
Option 3: 660
Option 4: 420
Question : The three racers' speed ratio is 3 : 2 : 4. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 6 : 8 : 9
Option 2: 4 : 8 : 5
Option 3: 10 : 8 : 3
Option 4: 4 : 6 : 3
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