What is the value of \(\frac{8\times 5 \div 25}{7 \div 14 \times 2} - \frac{14 \div 7 - 5}{7 \div 14 - 25}\) ?
\(\frac{362}{245}\)
\(\frac{115}{245}\)
\(\frac{306}{245}\)
\(\frac{106}{245}\)
The table shows the number of hours, a teacher invests on his daily activities.
What is the ratio between sum of time invested by the teacher on 'teaching and reading' & 'sleep and play' ?
| Activity | Hours |
| Teaching | 8 hours |
| Reading | 6 hours |
| Sleeping | 7 hours |
| Playing | 1 hours |
| Other activities | 2 hours |
Manoj bought two T.V. for Rs.2280. He sold one at a loss of 20 percent and other at a profit of 10 percent. If each T.V was sold for the same price, then what is the cost price of the T.V. which was sold at loss ?
If a2 + b2 + c2 = 62 and a + b + c = 12, then what is the value of 4ab + 4bc + 4ca ?
If \(x + \frac{1}{x} = 2 \implies K = x + \frac{1}{x} = 2\), then what is the value of \frac{x^{8} + 1}{x^{4}} ?
\frac{K^{4} - 16K^{2} + 32}{16}
\frac{K^{4} - 8K^{2} - 36}{32}
\frac{K^{4} - 8K^{2} - 32}{16}
\frac{K^{4} - 8K^{2} + 32}{16}