Which one of the given options is a possible value of x in the following sequence?
3, 7, 15, x, 63, 127, 255
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
In how many ways can cells in a 3 Γ 3 grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.
There are 4 red, 5 green, and 6 blue balls inside a box. If π number of balls are picked simultaneously, what is the smallest value of π that guarantees there will be at least two balls of the same colour?
One cannot see the colour of the balls until they are picked.
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