1
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let $$f:R \to R$$ be such that f is injective and $$f(x)f(y) = f(x + y)$$ for $$\forall x,y \in R$$. If f(x), f(y), f(z) are in G.P., then x, y, z are in
A
AP always
B
GP always
C
AP depending on the value of x, y, z
D
GP depending on the value of x, y, z
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
On the set R of real numbers we define xPy if and only if xy $$ \ge $$ 0. Then, the relation P is
A
reflexive but not symmetric
B
symmetric but not reflexive
C
transitive but not reflexive
D
reflexive and symmetric but not transitive
3
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
On R, the relation $$\rho$$ be defined by 'x$$\rho$$y holds if and only if x $$-$$ y is zero or irrational'. Then,
A
$$\rho$$ is reflexive and transitive but not symmetric
B
$$\rho$$ is reflexive and symmetric but not transitive
C
$$\rho$$ is symmetric and transitive but not reflexive
D
$$\rho$$ is equivalence relation
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Mean of n observations x1, x2, ...., xn is $$\overline x $$. If an observation xq is replaced by xq' then the new mean is
A
$$\overline x - {x_q} + {x_9}'$$
B
$${{(n - 1)\overline x + {x_q}'} \over n}$$
C
$${{(n - 1)\overline x - {x_q}'} \over n}$$
D
$${{n\overline x - {x_q} + {x_q}'} \over n}$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12