Directions (next three questions) : Study the following information to answer the given questions.
A bucket contains 8 red, 3 blue and 5 green marbles.
If 4 marbles are drawn at random, what is the probability that 2 are red and 2 are blue ?
Total number of marbles = 8+3+5 = 16
n(S) = Exhaustive number of cases
Number of ways of drawing 4 marbles out of 16 = 16C4
= 16×15×14×13/1×2×3×4 = 1820
n(E) = Number of cases when 2 marbles are red and 2 are blue
8C2 × 3C2 = 8×7/1×2 × 3×2/1×2 = 84
∴ Required probability = 84/1820 = 3/65
Samir’s age is one-fourth of his father’s age and two-third of his sister Reema’s age. What is the ratio of the ages of Samir. Reema and their father respectively ?
A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A and B together make 100 baskets ?
Sarita started a boutique inversing an amount of INR 50,000/- Six months later Neeta joined her with an amount of INR 80,000/-. At the end of one year they earned a profit of INR 18.,000/-. What is Sarita’s share in the profit ?
Three girls start jogging from the same point around a circular track and each one completes one round in 24 sec, 36 sec and 48 sec respectively. After how much time will they meet at one point
Shri Ramlal purchased a TV set for INR 12500/- and spent INR 300/- on transportation and INR 800/- on instalation. At what price should he sell it so as to earn an overall profit of 15%
