Question
In a box, there are three different colour cubes: blue,
green, and orange. The sum of the number of green and blue cubes in the box equals the number of orange cubes. The probability of picking two blue cubes from the box is (1/22). If the total number of blue, green, and orange cubes in the box is 24, then find out the number of green cubes in the box.Solution
ATQ, Let's denote the number of blue, green, and orange cubes as ‘B’, ‘G’, and ‘O’ respectively. Given: G+B = O and B+G+O = 24. Probability of picking two blue cubes = (1/22) implies [B(B-1)]/(24x23) = 1/22. Simplifying: B(B-1) = 24. Solving the quadratic equation B²-B-24=0 gives B = 6 or B = -4 (discard the negative value). With B = 6, substitute back to find O = 24 - B - G = 24 - 6 - G = 18 - G. Since G+B = O, we get G + 6 = 18, thus G = 12. Number of green cubes = 12.
Who among the following sits diagonally opposite to X?
Who among the following likes black color?
If Shishpal is related to Sonal, Swati is related to Pushpendra in a certain way. So in the same way Sandeep is related to who of the following?
Who among the following person sits second to the right of Z?
Which of the following pair of persons are immediate neighbours?
Who among the following person sits immediate right of A?
How many unknown person sits in the table?
Who sits third to the left of K8?
Eight people are sitting around a circular table on a wooden table facing the centre. P is sitting between K and A. A is sitting third to the right of N...
Seven toddlers T1, T2, T3, T4, T5, T6 and T7 are sitting around a circular table, facing towards the centre (not necessarily in the same order). T5 is t...
Relevant for Exams:
