Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example.
Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an
irrational number? Give an example in support of your answer.
The product of any two irrational numbers is
(A) always an irrational number
(B) always a rational number
(C) always an integer
(D) sometimes rational, sometimes irrational
Decimal representation of a rational number cannot be
(A) terminating
(B) non-terminating
(C) non-terminating repeating
(D) non-terminating non-repeating
Between two rational numbers
(A) there is no rational number
(B) there is exactly one rational number
(C) there are infinitely many rational numbers
(D) there are only rational numbers and no irrational numbers
Every rational number is
(A) a natural number (B) an integer
(C) a real number (D) a whole number
What would happen if poultry birds are larger in size and have no summer
adaptation capacity? In order to get small sized poultry birds, having
summer adaptability, what method will be employed?