Arun Sharma Solutions for Exercise 2: Level of Difficulty

If sum of the roots and the product of the roots of a quadratic equation S are in the ratio of 3:1, then which of the following is true?

$X$ is an alloy of $A$ and$B. Y$ is an alloy containing $80\%$ of $A, 4 \%$ of $B$and $16\%$of $C. A$fused mass of $X$$Y$ is found to contain$74\%$of $A, 16\%$ of$B$, and$10\%$ of $C$. The ratio of $A$ to $B$ in$X$ is:

If his speeds are in the ratio $1:3:1$, with the running time remaining unchanged, what is his finishing time?

Concentrations of three type of milks $X, Y$and $Z$are $10\%, 20\% and 30\%,$ respectively. They are mixed in the ratio$2:3:P$ resulting in a$23\%$ concentration solution. Find $P$.

The cost of an article (which is composed of raw materials and wages) was $3$ times the value of the raw materials used. The cost of raw materials in- creased in the ratio $3:7$ and wages increased in the ratio $4:9$. Find the present cost of the article if its original cost was $18$.

Total expenses of running the hostel at Harvard Business School are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is$\$70$ when there are $25$board- ers and $\$60$when there are$50$ boarders. What is the average expense per boarder when there are $100$boarders?

Which of the following will have the maximum change in their values if $5$is added to both the nu- merator and denominator of all the fractions?

$40$men could have finished the whole project in $28$days but due to the inclusion of a few more men, work got done in$3/4$of the time. Find out how many more men were included (in whole numbers).