GMAC Solutions for Chapter: Quantitative Skills, Exercise 2: Practice Questions

A and B can do a piece of work in $22\frac{2}{9}$ days, B and C can do it in$16\frac{2}{3}$ days, A and C can do the work in $15\frac{5}{3}$ days. Arrange the three in decreasing order of productivity.

Nishit works twice as fast as Pradeep. Nishit and Pradeep together can work three times faster than Bhuvan. If Nishit, Pradeep and Bhuvan together work on a job, in what ratio should they share the earnings?

Note: The ratio of individual share of earnings for all 3 workers is the same as the ratio of their relative efficiencies.

FDB Builders was awarded the contract to construct a bridge. The company employed $100$ workers to finish the work in $120$days. When four-fifths of the work was completed in $80$days, the company wanted to reduce the number of workers. How many workers can be let go without affecting the completion schedule of the construction of the bridge?

A tank can be filled by a pipe in $10$minutes and can be emptied by another pipe in $8$minutes. If both pipes are opened when the tank is full, then how long will it take for the tank to be empty?

Sanya, Babli and Jhanvi started a new business. Sanya’s capital was invested for a period which was equal to four times Jhanvi’s period of investment whereas Sanya and Babli invested for the same period. Also, twice Sanya’s investment is equal to Jhanvi’s investment, and Babli’s investment is equal to $\frac{1}{2}$of Sanya’s investment. If the total year-end profit from this business yielded $\mathrm{Rs}. 4,40,000,$ then what was the total share of Sanya and Babli in this profit?

Tina, Ishan, Abhishek and Fatima jointly started a business and invested a total of $\mathrm{Rs}. 80.$ If Tina’s share increases by $\mathrm{Rs}. 3,$ Ishan’s share increases by one-third of his share, Abhishek’s share decreases by $20\%$ and Fatima’s share decreases by $\mathrm{Rs}. 4,$ all of them would have equal amounts of money. What is Fatima’s original share?

Mukesh, Manish, Lalu and Jaggi bought a MOKIA mobile for$\pounds 60$. Mukesh paid one–half of the sum of the amounts paid by the other persons. Manish paid one–third of the sum of the amounts paid by the other persons. Lalu paid one–fourth of the sum of the amounts paid by the other persons. How much did Jaggi have to pay?

Yogesh and Mohan, two business partners, invest $\mathrm{Rs}. 21000$ and $\mathrm{Rs}. 17500$ respectively in their garment business and at the end of the year both of them make a profit of $\mathrm{Rs}. 26400.$ Find their individual shares in the profit.