For the following questions answer them individually
If the radius of a sphereis increased by 4 cm, its surface areais increased by $$464 \pi cm^2$$ . What is the volume(in $$cm^3$$) of the original sphere?
The sum of the digits of a two-digit number is $$\frac{1}{7}$$ of the number. The units digit is 4 less than the tens digit. If the number obtained on reversing its digits is divided by 7, the remainder will be:
The graph of the equation x — 7y = —42, intersects the y-axis at $$P\left(\alpha,\beta\right)$$ and the graph of 6x + y - 15 = 0, intersects the x-axis at $$Q\left(\gamma,\delta\right)$$, What is the value of $$\alpha+\beta+\gamma+\delta?$$
In quadrilateral $$ABCD$$, the bisectors of $$\angle A$$ and $$\angle B$$ meet at $$O$$ and $$\angle AOB = 64^\circ. \angle C + \angle D$$ is equal to:
‘A’started a business with a capital of ₹54,000 and admitted ‘B’ and ‘C’ after 4 months and 6 months, respectively. At the end of the year, the profit was divided in the ratio 1 : 4 : 5. What is the difference between the capitals invested by ‘B’ and ‘C’?
A and B started their journeys from X to Y and Y to X, respectively. After crossing each other, A and B completed the remaining parts of their journeys in $$6\frac{1}{8}$$ h and 8 h respectively. If the speed of B is 28 km/h, then the speed (in km/h) of A is:
The given pie chart shows the breakup of total number of the employees of a company working in different offices (A,B, C, D and E).
Total No. of employees = 2400
If 40% of the number of employees in office A are shifted equally to office B and E, then what is the difference between the number of employees in B and that in C?
The volume of a right pyramid is $$45\sqrt{3} cm^3$$ and its base is an equilateral triangle with side 6 cm. What is the height(in cm)of the pyramid?
A certain numberof persons can complete a work in 34 days working 9 h a day. If the number of persons is decreased by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days?
The bar graph shows the exports of Cars of Type A and B (in ₹ millions).
The total exports of cars of type A in 2014 to 2017 is approximately what percentage less than the total exports of cars of type B in 2015 to 2018?