Find the least number that must be subtracted from 98534, to get a number exactly divisible by 824.
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If 12x2 - ax + 7 = ax2 + 9x + 3 has only one (repeated) solution, then the positive integral solution of a is
In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD.
Find the value of p, if 2x - 4, 4x + p and 6x - 12 are in arithmetic progression.
What is the altitude of an equilateral triangle whose side is 12√3 cm?
A boat goes 15 km upstream and 10 1/2 km down stream in 3 hrs 15 min. It goes 12 km upstream and 14 km downstream in 3 hrs. What is the speed of the boat in still water?
From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of remaining solid?
The triangle in which the orthocenter, circumcentre, Incenter and the centroid coincide each other at a point is known as _____________.