Section : Quantitative Aptitude
For what value of θ (in degrees) is the following equation true?
\(\sin 30^\circ \cos \theta - \cos 30^\circ \sin \theta = \frac{1}{2}, \ 0 < \theta < \frac{\pi}{2}\)
If a2 + b2 + c2 =576 and (ab + bc + ca) = 50, then what is the value of (a + b + c), if (a + b + c) <0 ?
The list price of coconut oil is 15% more than its cost price. At what per cent less should it be sold for no profit and no loss?
\(13\frac{3}{23}\%\)
\(13\frac{1}{23}\%\)
\(13\frac{2}{23}\%\)
\(13\frac{4}{23}\%\)
Study the given bar graphs and answer the question that follows.
The bar graphs represent the amount invested in raw materials (in 2 crore) and the sale of the products, by a textile company in the years 2007— 2012. The X-axis represents the years. The Y-axis represents the amount invested in raw materials (in 2 crore) in figure 1 and sale of products in figure 2, respectively.
In which two years was the difference of the amount invested and the sales of products the same?
The value of
\(28 + 25 + 8 + 4 - (25\,\mathrm{of}\,8 + 20) - (125\,\mathrm{of}\,25) + (25 \times 5)\)
If \((2x + \frac{1}{2x}) = 5\) , then what is the value of \(\left(8x^3 + \frac{1}{8x^3}\right)^2\)?
Study the given graph and answer the question that follows.
What is the ratio of the total expenditure on Infrastructure and Transport to the total expenditure on Taxes and Interest on Loans?