For the following questions answer them individually
Simplify the given expression.
$$\frac{\frac{7}{4} \div \frac{13}{5}of (\frac{5}{52})}{\frac{13}{11} \div \frac{15}{11} of (\frac{14}{5})}$$
A can run 1 km in 4 min, and B can cover the same distance in 4 min 10 sec. By what distance can A beat B in a 1 km race?
A sum of money doubles itself at compound interest in 10 years. In how many years will it be four times at the same rate of interest?
The marked price of a chair was Rs.5,000. The shopkeeper was offering a discount of 20%, but on further bargaining agreed to offer a successive discount and finally sold the chair for Rs.3,600. What was the second discount offered by the shopkeeper?
If 90 is divided into two parts in the ratio of 2:3, then what are the values of two parts?
The weight of five boys is recorded as 22.450 kg, 24.150 kg, 24.720 kg, 28.530 kg and 25.150 kg. What is the average weight of all the five boys?
A hemisphere of lead of radius 5 cm is cast into a right circular cone of height 75 cm. If the volume of cone and hemisphere are equal, then what will be the radius of the base of the cone?
Find !he area of the shaded region of the diagram, where ACDF is a rectangle, AC = 90 cm, AF = CD = 20 an and ED = 10 cm.
A man spends 31% and 9% of his monthly income on food and clothing, respectively, and one third of the remaining on the education of children. He saves ₹4,500 per month, which is equal to half the balance after spending on food, clothing and education of children. His monthly salary is: