1
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
$${{n\overline x - {x_q} + {x_q}'} \over n}$$
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The probability that a non-leap year selected at random will have 53 Sunday is
A
0
B
1/7
C
2/7
D
3/7
3
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation $$\sin x(\sin x + \cos x) = k$$ has real solutions, where k is a real number. Then,
A
$$0 \le k \le {{1 + \sqrt 2 } \over 2}$$
B
$$2 - \sqrt 3 \le k \le 2 + \sqrt 3 $$
C
$$0 \le k \le 2 - \sqrt 3 $$
D
$${{1 - \sqrt 2 } \over 2} \le k \le {{1 + \sqrt 2 } \over 2}$$
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The possible values of x, which satisfy the trigonometric equation

$${\tan ^{ - 1}}\left( {{{x - 1} \over {x - 2}}} \right) + {\tan ^{ - 1}}\left( {{{x + 1} \over {x + 2}}} \right) = {\pi \over 4}$$ are
A
$$ \pm {1 \over {\sqrt 2 }}$$
B
$$ \pm $$ $${\sqrt 2 }$$
C
$$ \pm $$ $${1 \over 2}$$
D
$$ \pm $$ 2
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