Question
A bag contains βxβ black balls, βx + 2β red
balls and βx + 1β white balls. If the probability of drawing a white ball is 1/36 less than the probability of drawing a red ball, find the value of βxβ.Solution
According to question: (x + 2)/(3x + 3) β (x + 1)/(3x + 3) = 1/36 (x + 2 β x β 1)/(3x + 3) = 1/36 1/(3x + 3) = 1/36 3x + 3 = 36 3x = 33 x = 11
Find the lateral surface area of a pyramid with a rectangular base measuring 12 meters by 8 meters and a slant height of 18 meters.
Find the time taken by a pipe, which releases 120 m3 of water in a minute to fill an empty cylindrical tank of radius 10 m and height 8 m. [T...
The outer radius of a hollow metallic spherical ball is 15 cm while the thickness of the metal used to make it is 12 cm. Find volume of the metal used i...
When both length and breadth of a rectangle are increased by 3 m, the area rises by 189 mΒ². The ratio of perimeters (square : rectangle) is 5:6. Find t...
The length, breadth and height of a storeroom are 17m, 10m and 12m respectively. If each box occupies 60 m3 of space, then how many boxes can...
A rectangular piece of copper foil of length 21 cm and area 1386 cm2 is folded along its width to form a cylinder such that there is only one...
- The area of the base of a rectangular reservoir is 960 mΒ² and the volume of water contained in it is 38400 mΒ³. Find the depth of the water in the reservo...
The perimeter of an equilateral triangle is 72β3 cm. Find its height.
Perimeter of a square field is 100 meters and the area of a rectangular field is 60% more than that of the square field. Find the area (in m2...
(180/3)% of the raindrops could have been collected, when 8 cm of rain has fallen on a part of land of area 2.5 km2, in a tank having a 200 m...