If a2 + b2 + c2 + 170 = 2(8a + 5b - 9c), then the value of \(\sqrt{4a+8b-c}\) will be:
A can do a work in \(7\dfrac{1}{2}\) hours and B can do the same work in \(10\dfrac{1}{2}\) hours. If they work together for \(3\dfrac{1}{2}\) hours, then what part of the work will be left out?
\(\dfrac{3}{5}\)
\(\dfrac{4}{5}\)
\(\dfrac{1}{5}\)
\(\dfrac{2}{5}\)
Study the given pie chart and table and answer the question that follows.
The pie chart represents the percentage-wise distribution of 300 students of class X in a school in six different sections A, B, C, D, E and F.
The table shows the number of boys of class X in six different sections A, B, C, D, E and F.
The difference between the central angles of the sectors corresponding to the sections A and F is:
A person moved from place A for place B at 2 p.m. at a speed of 4.5 km/h, stayed at place B for 1.5 hours and returned to place A at a speed of 6 km/h. He came back to place A at 7 p.m. What is the distance between places A and B (in km)?