UPSI QUANT QUIZ 6

A machine can complete double the work that a man can complete in a given period of time. To complete a work, 10 machines and 5 men take 60 days. If there were 10 men and 5 machines, then the time it would have taken to complete the work is:

Simplify:

$0.5 \times 7.8+5.5 \times 14.2+0.25 \times 10^{2}=?$

A sum of ₹ 8,400 amounts to ₹ 10,899 in 3$\frac{1}{2}$ years at a certain rate per cent per annum, at simple interest. What will be the amount of the same sum at simple interest for 4$\frac{2}{3}$ years at double the rate of interest?

In how many months can Rs.24000 fetch 3783 as CI at $20 \%$ per annum compounded quarterly?

A, B and C started the business with the investment in the ratio of 3:4:5 and the investment period of A, B and C is 10 months, 8 months and 6 months respectively. At the end of business, the difference between the profits shares of B and C is Rs.1400, find the total profit of the business?

An article was bought for Rs. 2,500 . He allows a discount of $12 \%$ on its marked price and still gains $10 \%$. Find the marked price of the articles.

The average of ten numbers is 42. The average of the first three numbers is 40 and that of the next four numbers is 45. 8th number is 3 more than 9th number and 9 more than 10th number. What is the average of 9th and 10th numbers?

Find the HCF of $\frac{5}{6}, \frac{6}{7}$, and $\frac{7}{8}$

Simplify $45-[38-\{60 \div 3-(6-9 \div 3) \div 3\}]$

If $1$ is added to the denominator of a fraction, the fraction becomes $\frac{1}{2}$. If $1$ is added to the numerator of the fraction, the fraction becomes $1$. The sum of the numerator and denominator of the fraction is