Study the given pie chart carefully and answer the question that follows. The given pie chart shows the number of successful start-ups in different sectors in a particular year.
Question: If the total number of successful start-ups is 2910, then find the number of start-ups in the education and agriculture sectors. (Neglect the decimal part.)
The height of a cylinder is 20 cm. The lateral surface area is 1760 cm2. Its volume is:
Raj divides ₹1,200 in the ratio 2 : 1 : 3 among three of his friends. The amount equal to the sum of three times the largest share and two times the smallest share is:
A shopkeeper marked an article at ₹5,000. The shopkeeper allows successive discounts of 20%,15% and 10%. The selling price of the article is:
The average of 12 numbers is 48. The average of the first 5 numbers is 45 and the average of next 4 numbers is 52. If the 10th number is 10 less than the 11th number and is 5 more than the 12th number, then the average of the 11th and 12th numbers is:
Find the value of the following expression.
\(\sqrt{\dfrac{1+\sin\theta}{1-\sin\theta}}\)
The value of \(\left(\dfrac{\sin\theta - 2\sin^3\theta}{2\cos^3\theta - \cos\theta}\right)^3 \cdot \dfrac{1}{\tan\theta} - \sec^2\theta \text{ is:}\)
Let t=\(\dfrac{2}{5}\), then the value of the expression \(t^3 + \left(\dfrac{3}{5}\right)^3 + \dfrac{9}{5}t \text{ is:}\):
Two circles C1 and C2 touch each other externally. The radius of C1=16cm and the radius of C2 =8cm.
Find the length (in cm) of their common tangent.