Find the value of
\( \frac{3}{2} \div \frac{1}{7} \times \left[ \left( \frac{1}{2} - \frac{1}{3} \right) \div \frac{1}{42} \right] = ? \)
\(72\dfrac{1}{3}\)
\(73\dfrac{1}{2}\)
\(72\dfrac{1}{2}\)
\(71\dfrac{2}{3}\)
A can do 20% of a work in 4 days, and B can do \(33\dfrac{1}{3}\)% of the same work in 10 days. They worked together for 9 days and then C completed the remaining work in 6 days. B and C together will complete 75% of the same work in:
What is the Equivalent discount percentage corresponding to two successive discounts of 9% and 17% ?
If \(\dfrac{\cos \alpha}{\sin \beta} = 10 \text{ and } \dfrac{\cos \alpha}{\cos \beta} = 11\), then the value of cos² β is:
\(\dfrac{121}{132}\)
\(\dfrac{100}{221}\)
\(\dfrac{88}{108}\)
\(\dfrac{221}{121}\)
Three solid metallic spheres of radii 1 cm, 6 cm, 8 cm are melted and recast into a single solid sphere. The radius of the new sphere so formed is:
simplify the following expression
\(\dfrac{\sin \theta - 2\sin^3 \theta}{2\cos^3 \theta - \cos \theta}\)
Study the given data and answer the question that follows.
Data regarding population of different states in the year 2015 is shown in the pie-chart and tab.
| States |
Sex and Literacy-wise Population Ratio
|
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|
Sex
|
Literacy
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| M | F | Literate | Illiterate | |
| A.P | 5 | 3 | 2 | 7 |
| M.P | 3 | 1 | 1 | 4 |
| Delhi | 2 | 3 | 2 | 1 |
| Goa | 3 | 5 | 3 | 2 |
| Bihar | 3 | 4 | 4 | 1 |
| U.P. | 3 | 2 | 7 | 2 |
| T.N. | 3 | 4 | 9 | 4 |
If the total population of the given states is 31,500 then what was the total number of illiterate people in Goa and M.P.?
The area of the sector of a circle of radius 28 cm is 112 cm2. Find the length of the corresponding arc of the sector.