If a, b are the roots of the equation
x2− 5x + 6 = 0, then a2+b2−ab is:
Abaz and Aman can complete painting a building in 16 days and 12 days, respectively. If Abaz starts the work and they work on alternate days, then the building painting will be completed in how many days?
A, B, C, D, E, F, G and H are sitting around a square table facing the centre of the table (but not necessarily in the same order). Some of them are sitting at the corners, while some are sitting at the exact centre of the sides. A is not sitting at any of the corners and is second to the right of H. G is sitting at one of the corners and is sitting fourth to the left of C. E and B are the immediate neighbours of C. F is sitting at one of the corners and is to the immediate left of B.
Who among the following are the immediate neighbours of H?
Suppose a pin is placed in front of a concave mirror and a real image that is thrice the size of the pin is formed on a screen. The pin and the screen are then moved until the image is six times the size of the object. If the shift of the screen is 24 cm, then the shift in the object is:
\( \frac{7}{3} \) cm
\( \frac{4}{3} \) cm
\( \frac{2}{3} \) cm
\( \frac{5}{3} \) cm