Arun Sharma Solutions for Exercise 3: Level of Difficulty

There are $3$ classes having $20, 25$ and $30$ students respectively having average marks in an examination as $20, 25$ and $30$, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes.

A $\to$Highest score $22$, Lowest score $18$
B $\to$Highest score $31$, Lowest score $23$
C $\to$ Highest score $33$, Lowest score $26$

What will be the maximum possible average of group A if $5$ students are transferred from B to A?

There are $3$ classes having $20$, $25$ and $30$ students respectively having average marks in an examination as $20$, $25$ and $30$ respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the question that follows:

A $\to$highest score $22$, lowest score $18$
B $\to$highest score $31$, lowest score $23$
C $\to$highest score $33$, lowest score $26$

Which of these will definitely not constitute an operation for getting the minimum possible average value for group A?

There are $3$ classes having $20$, $25$ and $30$ students respectively having average marks in an examination as $20$, $25$ and $30$ respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the question that follows:

A $\to$highest score $22$, Lowest score $18$

B $\to$highest score $31$, Lowest score $23$

C $\to$highest score $33$, Lowest score $26$

For getting the lowest possible value of C's average, the sequence of operations could be

There are $3$ classes having $20$, $25$ and $30$ students respectively having average marks in an examination as $20$, $25$ and $30$ respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the question that follows:.

A $\to$ highest score $22$, Lowest score $18$
B $\to$highest score $31$, Lowest score $23$
C $\to$highest score $33$, Lowest score $26$

If we set the highest possible average of class C as the primary objective and want to achieve the highest possible value of class B as the secondary objective, what is the maximum value of class B's average that is attainable ? (Assume there are only 5 students who scored highest score & 5 students who scored lowest scores).

There are $3$ classes having $20$, $25$ and $30$ students respectively having average marks in an examination as $20$, $25$ and $30$ respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the question that follows:

A$\to$highest score $22$, lowest score $18$
B$\to$highest score $31$, lowest score $23$
C$\to$highest score $33$, lowest score $26$

If we set the highest possible average of class C as the primary objective and want to achieve the minimum possible average value of class B's average, the lowest value of class B's average that could be attained is ? (Assume there are only 5 students who scored highest score & 5 students who scored lowest scores).

There are $3$ classes having $20$, $25$ and $30$ students respectively having average marks in an examination as $20$, $25$ and $30$ respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the question that follows:..

A$\to$highest score $22$, lowest score $18$
B$\to$highest score $31$, lowest score $23$
C$\to$highest score$33$ , lowest score $26$

If we set the highest possible average of class C which would be $30.83$ and the minimum possible average value of class B's average which would be $22.2$, so what can be said about class A's average ? (Assume there are only $5$students who scored highest score & $5$ students who scored lowest scores).

An enterprise got a bonus and decided to share it in equal parts between the exemplary workers. It turned out, however, that there were $3$ more exemplary workers than it had been assumed. In that case, each of them would have got $4$ rupees less. The administration had found the possibility to increase the total sum of the bonus by $90$ rupees and as a result each exemplary worker got $25$ rupees. How many people got a bonus?

If Sachin Tendulkar walks into bat after the fall of the fifth wicket and has to share partnerships with Ganguly, Kumble, Harbhajan, Srinath and Yohannan, who have batted normally, defensively, defensively, defensively and defensively, respectively in each of the five partnerships that lasted for$12,10,8,5,10$ overs, respectively, sharing strike equally with Ganguly and keeping two-thirds of the strike in his other four partnerships.

If India proceeded to win the match based on the runs scored by these last five partnerships (assuming that the last wicket pair remains unbeaten), what could be the minimum score at which Tendulkar could have come to bat?