A student was asked to find the arithmetic mean of the following 12 numbers :3,

A student was asked to find the arithmetic mean of the following 12 numbers :3, 11, 7, 9, 15, 13, 8, 19, 17,21, 14 and x .He found the mean to be 12.The value of x will be: 1). 3 2). 7 3). 17 4). 31

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1. Of the three numbers,the first is twice the second and the second is 3 times the third.If their average is 100,the largest of the three numbers is :

2. The average of first three of five number arranged in ascending order is 20 less than the average of the last three of these numbers. If the sum of the last three of these numbers is 65. What is the sum of the first three of the numbers?

3. In the month of April, Rahul’s average expenditure for the first 10 days was Rs 800 per day. If his average expenditure for the next 10 days decreases by Rs 25 after every 10 days and he earns Rs 25,000 per month. Calculate his savings in the month of April.

4. The average age of 45 persons is decreased by $\frac{1}{9}$ year when one of them of 60 years is replaced by a new comer. Then the age of the new comer is :

5. A box containing 15 glass cups of total weight of 750 gm. If two broken cups are taken out of the box then the average weight is decreased by 5 gm. Again 3 glass cups are newly added into the box of average weight 29 gm. Find the new average weight of a box.

6. A batsman makes a score of 95 runs in the 13th match and thus increases his average runs per match by 4. What is his average after the 13th match?

7. The average salary of all the workers in a workshop is Rs8000. The average salary of 7 technicians is Rs12000 and the average salary of the rest is Rs6000.The total number of workers in the workshop is

8. Five years ago, the average age of Raj and Shruti was 25 years. While Ram joining them now, the average becomes 29 years. What is the current age of Ram?

9. The average marks obtained by a student in 6 subjects is 88. On subsequent verification it was found that the marks obtained by him in a subject was wrongly copied as 86 instead of 68. The correct average of the marks obtained by him is-

10. Average of 10 numbers is 14. If each number is multiplied by 6, then what will be the new average?