1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let the relation p be defined on R by a p b holds if and only if a $$ - $$ b is zero or irrational, then
A
p is equivalence relation
B
p is reflexive and symmetric but is not transitive
C
p is reflexive and transitive but is not symmetric
D
p is reflexive only
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The unit vector in ZOX plane, making angles $$45^\circ $$ and $$60^\circ $$ respectively with $$\alpha = 2\widehat i + 2\widehat j - \widehat k$$ and $$\beta = \widehat j - \widehat k$$ is
A
$${1 \over {\sqrt 2 }}\widehat i + {1 \over {\sqrt 2 }}\widehat j$$
B
$${1 \over {\sqrt 2 }}\widehat i - {1 \over {\sqrt 2 }}\widehat k$$
C
$${1 \over {\sqrt 2 }}\widehat i - {1 \over {\sqrt 2 }}\widehat j$$
D
$${1 \over {\sqrt 2 }}\widehat i + {1 \over {\sqrt 2 }}\widehat k$$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Four persons A, B, C and D throw an unbiased die, turn by turn, in succession till one gets an even number and win the game. What is the probability that A wins if A begins?
A
$${1 \over 4}$$
B
$${1 \over 2}$$
C
$${7 \over 12}$$
D
$${8 \over 15}$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A rifleman is firing at a distant target and has only 10% chance of hitting it. The least number of rounds he must fire to have more than 50% chance of hitting it at least once, is
A
5
B
7
C
9
D
11
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