How many elements does the set $P\big({\varnothing, a, {a}, {{a}}}\big)$ has; where $a$ and $b$ are distinct elements and $P$ denotes the power set?
Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2023
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What is the cardinality of these sets in the order of their serial number?
(i) ${a}$
(ii) ${{a}}$
(iii) ${a, {a}}$
(iv)…
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
$,\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
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
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
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
$(A\cap B')\ \cup\ (A'\cap B)\ \cup\ (A'\cap B')$ is equal to
Topic: JAMIA MILLIA ISLAMIA MCA 2023
The floor function $[x]$ is
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 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
