For the following questions answer them individually
A rhombus of side 28 cm has one angle of $$60^\circ$$. What is the length of the larger diagonal?
If $$\sqrt{x} + \frac{1}{\sqrt{x}} = \sqrt{6}$$, then the value of $$x^6 + \frac{1}{x^6}$$ will be:
An article was sold for ₹512 after giving two equal successive discounts on the marked price of ₹800. The percentage discount offered is:
Varun and Madhur invested ₹25,000 each in different schemes. Varun earned simple interest at 11%per annum, whereas Madhur earned compound interest at 10% per annum compounded annually. Who received moreinterest after 2 years and how much?
Study the given pie chart and answer the question that follows.
The pie chart shows the distribution (degree-wise) of the number of computers sold by a shopkeeper during five months.
In which month was the number of computers sold above 25% of the total number of computers sold in 5 months?
ABCis a right-angledtriangle, right-angled at B. D is a point on AC such that AD = 12 cm and CD = 16 cm. If BD bisects $$\angle ABC$$, then the perimeter of $$\triangle ABC$$ will be:
The average daily income of Shyam Lal during the month of February 2020 was ₹560. The average income for the first 16 days was ₹590 andfor the last 16 days it was ₹500. What washis average income for $$14^{th}$$, $$15^{th}$$ and $$16^{th}$$ February?
A train starts running at a uniform speed of 60 km/h from station P towardsstation Q. At the same time anothertrain starts running from station Q towardsstation P. If the distance between the stations P and Q is 275 km and thetrains meet in two and a half hours, then whatis the speed of the train running towardsstation P in km/h?
Two chords AB and CD ofa circle intersect at O. If CO = 4 cm, OD = 3.75 cm, and AB = 8 cm, then what is the length (in cm)of the smaller among AO and OB?
A is thrice as efficient as B. A takes 24 days less than B to complete a work. If they work together. in how many days, will the work be completed?