For the following questions answer them individually
In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?
The compound interest accrued on an amount at the end of two years at the rate of 12 p.c.p.a is Rs. 2,862. What is the amount ?
A 280 metres long train, travelling at a uniform speed, crosses a platform in 60 seconds and a man standing on the platform in 20 seconds. What is the length of the platform ?
A triangle has two of its angles in the ratio of 1 : 2. If the measure of one of its angles is 30 degrees, what is the measure of the largest angle of the triangle in degrees ?
In how many different ways can the numbers ‘256974’ be arranged, using each digit only once in each arrangement, such that the digits 6 and 5 are at the extreme ends in each arrangement ?
Study the given information carefully and answer the questions that follow:
An urn contains 3 red, 6 blue, 2 green and 4 yellow marbles.
If two marbles are picked at random, what is the probability that both are green ?
If three marbles are picked at random, what is the probability that two are blue and one is yellow ?
If four marbles are picked at random, what is the probability that at least one is yellow ?
If two marbles are picked at random, what is the probability that either both are red or both are green ?
If four marbles are picked at random, what is the probability that one is green, two are blue and one is red ?
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