A person throws two fair dice. He wins Rs. $15$ for throwing a doublet (same numbers on the two dice), wins Rs. $12$ when the throw results in the sum of $9$, and loses Rs. $6$ for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is:
Previous 10 Questions — JEE Main 2019 (12 April Evening Shift)
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A group of students comprises of $5$ boys and $n$ girls. If the number of ways in which a team of $3$ students can rand…
Topic: JEE Main 2019 (12 April Evening Shift)
An ellipse, with foci at $(0, 2)$ and $(0, -2)$ and minor axis of length $4$, passes through which of the following poi…
Topic: JEE Main 2019 (12 April Evening Shift)
A value of $\alpha$ such that
$\displaystyle \int_{\alpha}^{\alpha+1} \dfrac{dx}{(x+\alpha)(x+\alpha+1)} = \log_e\left(…
Topic: JEE Main 2019 (12 April Evening Shift)
The derivative of ${\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)$, with respect to ${x \ov…
Topic: JEE Main 2019 (12 April Evening Shift)
$\lim_{x\to 0}\dfrac{x+2\sin x}{\sqrt{x^{2}+2\sin x+1}-\sqrt{\sin^{2}x-x+1}}$ is:
Topic: JEE Main 2019 (12 April Evening Shift)
A value of $\theta \in \left( {0,{\pi \over 3}} \right)$, for which
$\left| {\matrix{
{1 + {{\cos }^2}\theta } &am…
Topic: JEE Main 2019 (12 April Evening Shift)
Let z $ \in $ C with Im(z) = 10 and it satisfies ${{2z - n} \over {2z + n}}$ = 2i - 1 for some natural number n. Then :
Topic: JEE Main 2019 (12 April Evening Shift)
Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x $ \in $ R. If f(x) attains maximum value at $\alpha $ and g(x) attains
min…
Topic: JEE Main 2019 (12 April Evening Shift)
A straight line $L$ at a distance of $4$ units from the origin makes positive intercepts on the coordinate axes and the…
Topic: JEE Main 2019 (12 April Evening Shift)
If $\alpha, \beta$ and $\gamma$ are three consecutive terms of a non-constant G.P. such that the equations
$\alpha x^{2…
Topic: JEE Main 2019 (12 April Evening Shift)
