Given that ΔDEF ~ ΔABC. If the area of ΔABC is 9 cm² and area of ΔDEF is 12cm2 , BC = 2.1 cm, then the length of EF is:

The circumference of the base of a cylindrical vessel is 158.4 cm and its height is 1 m. How many litres of water can it hold (correct to one decimal place)?

(Take π = 22/7)

If x = 19 and y = 18, then the value of   $$ {{x^2}+{y^2}+{xy}}\over x^3-y3 $$ is

A trader allows a trade discount of 20% and a cash discount of $$6{1\over4}\%$$ on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale? 

The sides of a triangle are in the ratio 3 : 4 : 5. The measure of the largest angle of the triangle is

Two vessels A and B contains acid and water in the ratio 4:3 and 5:3 respectively Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3:2 is 

If x = 2 then the value of x³ + 27x² + 243x + 631 is

The value of   $${sin23^0cos67^0+sec52^0sin38^0+cos23^0sin67^0+cosec52^0cos38^0}\over cosec^220^0-tan^270^0$$ is