Shyam Saraf and Abhilasha Swarup Solutions for Exercise 1: EXERCISE

The average of a set of $6$ numbers is $45$. If one number is removed from the set, the average becomes $43$. Which number is removed?

There are $40$ consecutive numbers all being integers. What is the difference between the averages of the first $10$ and last $10$ integers?

The average price of three articles whose individual prices are in ratio $3 : 4 : 5$ is $₹40,000$. Find the price of the costliest article.

The mean of $50$ observations was $64$. It was found $76$ was wrongly taken as $56$. The corrected new mean is _____.

The average age of $16$ students in a group is $24$ years. When the teacher's age is included, the average age increases by one. What is the teacher's age?

The average weight of $3$ robots $\mathrm{A}, \mathrm{B},$ and $\mathrm{C}$ is $85 \mathrm{kg}$. Another robot $\mathrm{D}$ joins the group and the average now becomes $80 \mathrm{kg}$. If another robot $\mathrm{E}$(whose weight is $2 \mathrm{kg}$ more than that of $\mathrm{D}$) replaces $\mathrm{A}$, then the average weight of $\mathrm{B}, \mathrm{C}, \mathrm{D}$ and $\mathrm{E}$ becomes $78 \mathrm{kg}$. The weight of $\mathrm{A}$ is _____.

The average weight of $10$ persons increases by $2 \mathrm{kg}$ when Saurabh who weighs $54 \mathrm{kg}$ is replaced by Rajan. What is the weight of Rajan ?

The average of $6$ observations is $44.5$. If one new observation is added to the previous observations, then the new average becomes $46$. The new observation is _____.