Substitution / Elimination

1. If x and y are perfect square which of the following is not necessarily perfect square.

a) xy3 b) xy c) x3 d) x3y2 e) x+y
(M)

2. If 0 < x < 1
Which of the following is median of given expressions.
x3, x2, x

a) x3 b) x2 c) d) e) x
(M)
3. If x < -1
Which of the following has least value

a) x2 b) x c) d) │x│ e) x3
(D)

4. If x > y and x & y both are positive numbers which of the following expressions must be less than 1.
a) x - y b) c) x + y d) e)| |
(M)

5. If product of 4 consecutive integers is equal to one of them what is smallest value of one of the integers.

a) 0 b) 1 c) 3 d) -3 e) 2
(M)

6 If a, b and c are distinct integers that are odd and positive. Which of the following statement can't be true.

a) abc2 is odd
b) (a-b)2 c is even
c) (a + b -c)2 ( a + b) is even
d) (a-b) (b + c) (a + b - c) is odd
e) a + b + c is odd.
(M)