For the following questions answer them individually
The length of a wire (in cm) of 0.1 mm radius that can be drawn from melting a solid copper sphere of diameter 6 cm is:
Find the value of the following expression:
$$\frac{1\frac{2}{3} \div \frac{5}{6} \times 6 + \frac{4}{5} \times \frac{1}{2} + \frac{2}{3}}{2-\left[1\frac{1}{3}\times\left(-\frac{3}{5}\right)-6\left\{\frac{3}{5}-\left(3-\frac{3}{10}\right)\right\}\right]}$$
If $$\cot^{2}\alpha + \tan^{2}\alpha = 2, 0^\circ \leq \alpha \leq 90^\circ$$, then find the value of a
What is the angle of elevation of the sun when the shadow of a 9-m high pole is $$3\sqrt{3}$$ m long?
The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = Receipts-
Expenditure.
In which year did the company gain the maximum amount?
What is the compound interest (in ₹) at the rate of 10%, compounded annually, for 3 years on the principal which in 8years at the rate of 12% per annum gives ₹14,800 as simple interest?
The given histogram represents the marks of students in Mathematics test of a certain class.
The total number of students is 350 and the maximum marks of the test are 200.
Study the graph and answer the question that follows .
The total number of students whose marks are less than 100 is what percentage (correct up to one place of decimal) less than the total number of students whose marks are 120 and above?
20 men can finish a work in 30 days. They started working, but 4 men left the work after 10 days. In how many days would the work be completed?
Two successive discounts of 20% and 25% on the marked price of an article are equal to a single discount of ₹250. If the marked price of the article is 25% above the cost price, the cost price (in ₹) of the article is:
Performance of 1800 students in grades has been shown in the following pie chart.
How many students have got either grade D or grade E?: