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Jamia Millia Islamia MCA Mathematics Previous Year Questions (PYQs) – Page 1 of 46
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Jamia Millia Islamia MCA Mathematics Previous Year Questions (PYQs) – Page 1 of 46
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Jamia Millia Islamia MCA
Previous Year Questions
Jamia Millia Islamia MCA
Previous Year Questions
Jamia Millia Islamia MCA
Qus : 1
1
Points within a set are connected by a line segment must follow the condition that points are
1
Included in set
2
Not included in set
3
Included in function
4
Included in objective
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Discussion
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Solution
In a convex set, any line joining two points lies entirely within the set.
Qus : 2
3
The function $ f(x) = x^3 - 3x $ is:
1
Increasing anywhere
2
Decreasing everywhere
3
Increasing in some intervals, decreasing in others
4
None of these
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Solution
Qus : 3
4
In mathematical programming, goals represented by objective functions include
1
Profit level
2
Total cost and revenue
3
Percent rate on investment
4
All of above
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Discussion
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Solution
Objective functions can represent any of these based on problem type.
Qus : 4
1
The integral of $ \cos x $ is:
1
$ \sin x + C $
2
$ -\sin x + C $
3
$ e^x + C $
4
None of these
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Discussion
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Solution
Integral of $ \cos x $
$ \int \cos x , dx $
Since
$ \frac{d}{dx} (\sin x) = \cos x $
$ \int \cos x , dx = \sin x + C $
Qus : 5
1
Coordinates of midpoint of line joining two points (16, 4) and (36, 6) are
1
(26, 5)
2
(5, 26)
3
(10, 1)
4
(1, 10)
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Discussion
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Solution
Midpoint = ((16+36)/2, (4+6)/2) = (26, 5).
Qus : 6
1
The determinant of a singular matrix is:
1
0
2
1
3
-1
4
None of these
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Discussion
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Solution
Definition:
A matrix is singular if
$ |A| = 0 $
Qus : 7
1
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
1
63
2
90
3
126
4
None of these
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Discussion
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Solution
Select men = 7C5 = 21, women = 3C2 = 3, total = 21 × 3 = 63.
Qus : 8
2
Order of the power set $ P(A) $ of a set $ A $ of order $ n $ is:
1
$ n $
2
$ 2^n $
3
$ n^2 $
4
None of these
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Solution
If
$ |A| = n $
Then
$ |P(A)| = 2^n $
Number of subsets $ = 2^n $
Qus : 9
2
For individual observations, reciprocal of arithmetic mean is called
1
Geometric mean
2
Harmonic mean
3
Deviation square mean
4
Paired mean
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Discussion
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Solution
Reciprocal of arithmetic mean = harmonic mean.
Qus : 10
2
A.P. whose nth term is $2n - 1$ is
1
1, 3, 6,…
2
1, 3, 5,…
3
1, 3, 5,…
4
5, 3, 1,…
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Discussion
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Solution
Substituting $n=1,2,3,…$ gives terms 1, 3, 5,…
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