A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm²) in the total surface area?

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm³, then its lateral surface area ( in cm²) is:

Directions: The bar graph, given here, shows the number of tickets sold by 6 students A, B, C, D, E and F during a fair. 

Total number of tickets sold by D, E and F is 

The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss is 

$${I.{(13)^{2}}-14+28=x}$$
$${II.{(16)^{2}}-8×7=y}$$

Directions: The following bar graph shows the percentage breakup of a Sunil’s salary from year 2012 to 2016. With the given information, find the following questions.

If the ratio on saving in the year 2013 and 2016 are in the ratio 3 : 5. Then what is the ratio of EMI expenses in the year 2013 and 2016.

ΔPQR is right angled at Q. If cos P = 3/5, then what is the value of cos R?

Study the following table carefully and answer the questions given below.

In which discipline was there a continuous increase in number of students over the given years?