CUET PG MCA 2026 Previous Year Questions (PYQs) – Page 3 of 7
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Mean and variance of 12 observations are $ \frac{9}{2} $ and $4$ respectively. Later it was observed that two observations were considered $9$ and $10$ instead of $7$ and $14$ respectively. If the correct variance is $ \frac{m}{n} $ where $m$ and $n$ are coprime, then $m+n$ is
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Solution
Which of the following is false about
$ \lim_{y \to 0} \frac{\sqrt{1+\sqrt{1+y^4}}-\sqrt{2}}{y^4} $
(A) limit exists and equal to $ \frac{1}{4\sqrt{2}} $
(B) limit does not exist
(C) limit exists and equal to $ \frac{1}{2\sqrt{2}} $
(D) limit exists and equal to $ \frac{1}{2\sqrt{2}(\sqrt{2}+1)} $
(a) A, B, C
(b) B, C, D
(c) A, B, D
(d) A, C, D
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Solution
Arrange the following in sequence to find variance of individual observation.
(A) compute $ \bar{X} $ of observation $x_1, x_2 \dots x_n$
(B) square the deviation obtain sum $ \sum_{i=1}^{n} (x_i-\bar{X})^2 $
(C) divide the sum $ \sum_{i=1}^{n} (x_i-\bar{X})^2 $ by $n$
(D) take deviation of observation from mean that is $(x_i-\bar{X})$
(a) A, B, C, D
(b) A, D, B, C
(c) A, C, B, D
(d) B, C, D, A
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Solution
Which of the following is correct?
(A) In directed graph sum of length of all adjacency list is $|E|$
(B) The adjacency matrix requires $O(V^2)$ memory
(C) In an undirected graph the sum of length of all adjacency list is $|E|$
(D) The memory requirement of adjacency list depends on number of edges in graph
(a) A, B, C
(b) B, C, D
(c) A, B, D
(d) A, C, D
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Solution
Matching
| Column A | Column B |
|---|---|
| A. $(\sqrt{2}+1)+1+(\sqrt{2}-1)+\ldots \infty$ | IV. $\frac{4+3\sqrt{2}}{2}$ |
| B. $ \frac{1}{2}+\frac{1}{3^2}+\frac{1}{2^3}+\frac{1}{3^4}+\frac{1}{2^5}+\frac{1}{3^6}+\ldots \infty$ | I. $\frac{19}{24}$ |
| C. $6^{1/2}\times 6^{1/4}\times 6^{1/8}\ldots \infty$ | II. $6$ |
| D. $8+4\sqrt{2}+4+\ldots \infty$ | III. $8(2+\sqrt{2})$ |
(a) (A)-I, (B)-II, (C)-III, (D)-IV
(b) (A)-IV, (B)-I, (C)-II, (D)-III
(c) (A)-IV, (B)-I, (C)-III, (D)-II
(d) (A)-I, (B)-IV, (C)-III, (D)-II
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Solution
If $S, T$ are symmetric matrices of the same order, then which of the following statements are true?
(A) $S + T$ is symmetric matrix
(B) $ST - TS$ is skew symmetric matrix
(C) $ST + TS$ is symmetric matrix
(D) $ST - TS$ is symmetric matrix
(a) A, B, C
(b) B, C, D
(c) A, B, D
(d) A, C, D
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Solution
Matching
Options
| Column A | Column B |
|---|---|
| A. BFS | I. Shortest Path |
| B. Sparse graph | II. Adjacency list representation |
| C. Collision Resolution | III. Open Addressing |
| D. Link list | IV. Self Referential structure |
(a) (A)-I, (B)-II, (C)-III, (D)-IV
(b) (A)-I, (B)-II, (C)-IV, (D)-III
(c) (A)-II, (B)-I, (C)-III, (D)-IV
(d) (A)-IV, (B)-III, (C)-II, (D)-I
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Solution
Consider procedure list search (L, K) to find the first element with key K in list L by simple linear search, returning pointer to its element. Arrange the correct order.
(A) $x = L.Head$
(B) while $x \ne Nil$ and $x.key \ne K$
(C) return $x$
(D) $x = x.next$
Options
(a) A, B, D, C
(b) B, C, D, A
(c) A, D, B, C
(d) A, B, C, D
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Solution
The curves $x = y^2$ and $xy = k$ cut at right angle. Find the value of $k$.
(a) $ \frac{1}{2\sqrt{2}} $
(b) $2$
(c) $4$
(d) $ \frac{1}{8} $
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Solution
The foci of hyperbola coincide with foci of ellipse
$ \frac{x^2}{25} + \frac{y^2}{9} = 1 $.
So the equation of hyperbola if $e = 2$ is
(a) $ \frac{x^2}{4} - \frac{y^2}{12} = 1 $
(b) $ \frac{x^2}{16} - \frac{y^2}{12} = 1 $
(c) $ \frac{x^2}{12} - \frac{y^2}{4} = 1 $
(d) $ \frac{x^2}{2} - \frac{y^2}{9} = 1 $
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Solution
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