For the following questions answer them individually
The value of $$\frac{\sin 23^{\circ} \cos 67^{\circ} + \sec 52^{\circ} \sin 38^{\circ} + cos 23^{\circ} \sin 67^{\circ} + \cosec 52^{\circ} \cos 38^{\circ}}{\cosec^{2}20^{\circ} - \tan^{2}70^{\circ}}$$ is:
Monthly expenditure of a family on different heads is shown in the following pie chart.
The amount spent on Children Education, Transport and Rent is what percentage of the total earnings?
An item costs ₹400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The price of the item after using both the sale discount and the discount coupon, is ₹216. What is the value of x?
A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then bow much time will it take to go 39 km downstream and 30 km upstream?
LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?
The following bar graph shows exports of cars of type A and B (in ₹ millions) from 2014 to 2018.
What is the ratio of the total exports of cars of type A in 2014 and 2017 to the total exports of cars of type B in 2015 and 2016?
An equilateral triangle ABC is inscribed in a circle with centre O. Dis a point on the minor are BC and $$\angle$$ CBD = $$40^{\circ}$$. Find the measure of $$\angle$$ BCD.
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and heigbt 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is: