For the following questions answer them individually
If $$x = \frac{1}{12.13} + \frac{1}{13.14} +\frac{1}{14.15}+.....+\frac{1}{23.24}Â Â y = \frac{1}{36.37} + \frac{1}{37.38} + \frac{1}{38.39} + .......... + \frac{1}{71.72}$$, then $$\frac{x}{y}$$ is equal to:
OABC is a quadrilateral, where O is the centre of a circle and A, B,C are points in the circle, such that $$\angle$$ABC = $$120^\circ$$. What is the ratio of the measure of $$\angle$$AOC to that of $$\angle$$OAC ?
Given that the lengths of the paths of a ball thrown with different speeds by two boysare the same, and that the average speed for the first and second throwsare respectively 90km/h and 162 km/h, then what is the time taken by thefirst throw to coverthe length if the same for the second thrown is one second ?
The side BC of a right-angled triangle ABC ($$\angle ABC = 90^\circ$$) is divided into four equal parts at P, Q and R respectively. If $$AP^2 + AQ^2 + AR^2 = 3 b^2 + 17 na^2$$ then n is equal to:
A shopkeeper bought an article for ₹100 and marked its price 25% above the cost price. How much discount percentage should he announce in order to make a profit of 15%?
A borrowed a sum of ₹3,000 from his friend B on 31 December 2007 on the condition that he would return the same after one year with simple interest at 15% per annum. However, A gets into a position of returning the sum on 31 August 2008. How much amounthad to return to B?
The area of a sector of a circle with central angle $$60^\circ$$ is A. The circumference of the circle is C. Then A is equal to:
The given Bar Graph presents the data of annual income (A) and annual expenditure (B) of an IT officer in a multinational company during the years 2012 to 2016.
What is the percentage of his total savings with reference to his total income for the period 2012-15 ?
It is given that $$\triangle ABC \sim \triangle PRQ$$ and that Area ABC : Area PRQ = 16: 169. If AB=x, AC=y, BC =z (all in cm), then PQ is equal to:
An article is subject to two successive discounts of 10% and 5% before beingsold.If its marked price is ₹800,then its selling price is: