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1

IIT-JEE 1984

True or False
If a < b < c < d, then the roots of the equation (x - a) (x - c) + 2 ( x - b) (x - d) = 0 are real and distinct.
A
TRUE
B
FALSE
2

IIT-JEE 1983

True or False
The equation $$2{x^2} + 3x + 1 = 0$$ has an irrational root.
A
TRUE
B
FALSE
3

IIT-JEE 1981

True or False
For every integer n > 1, the inequality $${(n!)^{1/n}} < {{n + 1} \over 2}$$ holds.
A
TRUE
B
FALSE

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