The value of $\sin\dfrac{\pi}{16} \sin\dfrac{3\pi}{16} \sin\dfrac{5\pi}{16} \sin\dfrac{7\pi}{16}$ is —
Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2023
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Find the value of $ \dfrac{1}{\sin 10^\circ} - \dfrac{\sqrt{3}}{\cos 10^\circ} = ? $
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The number of students who take both the subjects’ mathematics and chemistry are 30. This represents 10% of the enrolme…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The domain of the real-valued function
$f(x) = \sqrt{x - 3} + \sqrt{x - 4}$
is the set of all values of $x$ satisfy…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The floor function $[x]$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2023
$(A\cap B')\ \cup\ (A'\cap B)\ \cup\ (A'\cap B')$ is equal to
Topic: JAMIA MILLIA ISLAMIA MCA 2023
If $P,Q,R$ have truth values $T,T,F$, then the truth values of
$\Big(P\to(Q\to R)\Big)\to\Big((P\to Q)\to(P\to R)\Big)$…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
There is a direct flight from Trichy to New Delhi and 2 direct trains.
There are 6 trains from Trichy to Chennai and 4 …
Topic: JAMIA MILLIA ISLAMIA MCA 2023
Which of the following relations are functions?
(i) ${(1,(a,b)),\ (2,(b,c)),\ (3,(c,a)),\ (4,(a,b))}$
(ii) ${(1,(a,b)),…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
$,\text{Find } \displaystyle \bigcup_{i=1}^{\infty} A_i \text{ and } \bigcap_{i=1}^{\infty} A_i,\ \text{for every posit…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
Suppose that $A_i = {1, 2, 3, \ldots, i}$ for $i = 1, 2, 3, \ldots$
Then find $\displaystyle \bigcup_{i=1}^{\infty} A_i…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2023
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Number of unimodular complex numbers which satisfy the locus
$\arg\!\left(\dfrac{z - 1}{z + i}\right) = \dfrac{\pi}{2…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The values of the parameter $a$ such that the roots $\alpha, \beta$ of
$2x^2 + 6x + a = 0$ satisfy the inequality $\d…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The 120 permutations of “MAHES” are arranged in dictionary order,
as if each were an ordinary 5-letter word.
The la…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
A person writes letters to 6 friends and addresses the corresponding envelopes.
Let $x$ be the number of ways so that…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
In how many ways can the following diagram be colored, subject to: (i) Each of the smaller triangles is to be painted w…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The tens digit of $1! + 2! + 3! + 4! + \dots + 49!$ is —
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The middle term in the expansion of
$\left(1 + \dfrac{1}{x^2}\right)\!\left(1 + x^2\right)^n$ is —
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The sum of the infinite series
$\dfrac{2^2}{2!} + \dfrac{2^4}{4!} + \dfrac{2^6}{6!} + \dfrac{2^8}{8!} + \dots$ is equ…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
If ‘a’ is the arithmetic mean of ‘b’ and ‘c’, and $G_1$ and $G_2$ are the two geometric means between them,
then $G_1…
Topic: JAMIA MILLIA ISLAMIA MCA 2023
For $x \in \mathbb{R}$, find $\displaystyle \lim_{x \to \infty} \left(\dfrac{x - 3}{x + 2}\right)^x = ?$
Topic: JAMIA MILLIA ISLAMIA MCA 2023
