Directions (next five questions): In the following questions two equations numbered I and II are given. You have to solve both equations and
I. x2-7x+10=0
II y2+11y+10=0
⇒ x2-5x-2x+10 = 0
⇒ x(x-5)-2(x-5)=0
⇒(x-2)(x-5) = 0
⇒(x-2) (x-5) =0
⇒ x=2 or 5
⇒ y2+10y+10=0
⇒ y(y+10)+1(y+10)=0
⇒ (y+1) (y+10) = 0
⇒ y = -1 or 10
Hence, relationship cannot be established.
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 3 marbles are drawn at random, what is the probability that none is red ?
If 2 marbles are drawn at random, what is the probability that both are green ?
If 4 marbles are drawn at random, what is the probability that 2 are red and 2 are blue ?
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 ?