For the following questions answer them individually
The profit earned after selling an article for ₹8,579 is the same as the loss incurred after selling the article for ₹6,341. The profit percentage is:
$$\triangle PQR$$ is an isosceles triangle with PQ = PR = 25 cm. If PS is the median on QR from P such that PS = 7 cm, then the length of QR is:
Let O be the centre of a circle. PA and PB are tangents to the circle from a point P outside the circle and A and B are points on the circle, If angle $$APB = 50^\circ$$, then angle OAB is equal to:
If a nine-digit number 1263487xy is divisible by both 8 and 5, then the greatest possible values of x and y, respectively, are:
Study the given bar chart and answer the question that follows.
The bar chart shows the production of medicines by a company (in 1000 tonnes) over six years 2010 to 2015.
If in each of the following years, the percentage increase in production as compared to the previous year is taken, then the ratio for increase production of the year 2011 to increase production of year 2015 is:
$$2 \cos \theta + \sec \theta - 2\sqrt{2} = 0$$, where $$\theta$$ is an acute angle. Find the value of $$\theta$$.
Raghav spends 80% of his income. If his income increases by 12% and his expenditure increases by 17.5%, then what is the percentage decrease in his savings?
Three numbers are in the ratio $$\frac{1}{4} : \frac{5}{9} : \frac{7}{12}$$, The difference between the greatest and the smallest number is 180, Find the sum of all the three numbers.
The sum of the radius of the base and the height of a closed solid cylinder is 12.5 cm. If the total surface area of the cylinder is 275 cm$$^2$$, then its radius is:
(Take $$\pi = \frac{22}{7}$$)
The simple interest on a certain sum for 3 years at 12% p.a. is ₹6,750. What is the compound interest(in ₹) on the same sum for 2 years at 20% p.a., if interest is compounded half-yearly? (rounded off to the nearest ₹)