Dark Mode

Recent questions tagged cmi2014

3 votes

2 answers

1

CMI2014-B-07c
Consider the code below, defining the function $A$: A(m, n, p) { if (p == 0) return m+n; else if (n == 0 && p == 1) return 0; else if (n == 0 && p == 2) return 1; else if (n == 0) return m; else return A(m, A(m,n-1,p), p-1); } Compute $A(2, 2, 3)$ and $A(2, 3, 3)$.

go_editor asked in Algorithms May 27, 2016

617 views

3 votes

2 answers

2

CMI2014-B-07b
Consider the code below, defining the function $A$: A(m, n, p) { if (p == 0) return m+n; else if (n == 0 && p == 1) return 0; else if (n == 0 && p == 2) return 1; else if (n == 0) return m; else return A(m, A(m,n-1,p), p-1); } Express $A(m, n, 2)$ as a function of $m$ and $n$.

go_editor asked in Algorithms May 27, 2016

642 views

3 votes

2 answers

3

CMI2014-B-07a
Consider the code below, defining the function $A$: A(m, n, p) { if (p == 0) return m+n; else if (n == 0 && p == 1) return 0; else if (n == 0 && p == 2) return 1; else if (n == 0) return m; else return A(m, A(m,n-1,p), p-1); } Express $A(m, n, 1)$ as a function of $m$ and $n$.

go_editor asked in Algorithms May 27, 2016

649 views

2 votes

2 answers

4

CMI2014-B-06b
Let $A$ be array of $n$ integers that is not assumed to be sorted. You are given a number $x$. The aim is to find out if there are indices $k,\: l$ and $m$ such that $A[k] + A[l] + A[m] = x$. Design an algorithm for this problem that works in time $O(n^2)$.

go_editor asked in Algorithms May 27, 2016

430 views

2 votes

1 answer

5

CMI2014-B-06a
Let $A$ be an array of $n$ integers, sorted so that $A[1] \leq A[2] \leq \dots \leq A[n]$. You are given a number $x$x. The aim is to find out if there are indices $k$ and $l$ such that $A[k] + A[l] = x$. Design an algorithm for this problem that works in time $O(n)$.

go_editor asked in Algorithms May 27, 2016

420 views

2 votes

1 answer

6

CMI2014-B-05
At the end of its fifth successful season, the Siruseri Premier League is planning to give an award to the Most Improved Batsman over the five years. For this, an Improvement Index will be computed for each batsman. This is defined as the longest ... to compute the Improvement Index for a batsman with an overall sequence of $n$ scores. Analyze the complexity of your algorithm.

go_editor asked in Algorithms May 27, 2016

520 views

1 vote

2 answers

7

CMI2014-B-04
The frequency of a number in an array is the number of times it appears in the array. Describe an algorithm that finds the most frequent number in an array of $n$ numbers. If there are multiple numbers with highest frequency then list them all. Analyze the complexity of your algorithm.

go_editor asked in Algorithms May 27, 2016

446 views

1 vote

1 answer

8

CMI2014-B-03
$\text{Air CMI }$operates direct flights between different cities. For any pair of cities $A$ and $B$, there is at most one flight in a day from $A$ to $B$. The online site $FakeTrip$ is tryingto compile a list of all routes available ... list all pairs of cities connected by a route on which all connections are feasible within the same day. Analyze the complexity of your algorithm.

go_editor asked in Algorithms May 27, 2016

469 views

1 vote

1 answer

9

CMI2014-B-02
There are $n$ students in a class. The students have formed $k$ committees. Each committee consists of more than half of the students. Show that there is at least one student who is a member of more than half of the committees.

go_editor asked in Quantitative Aptitude May 27, 2016

557 views

1 vote

2 answers

10

CMI2014-B-01
Let $A$ be a regular language. Consider the following operations on $A$: $2A:=\{xy \mid x, \: y \in A \text{ and } x=y\}$ $A^2 :=\{xy \mid x, \: y \in A\}$ One of these operations necessarily leads to a regular language and the ... that it is regular. For the non-regular operation, give an example of an $A$ such that applying the operation on it results in a non-regular language.

go_editor asked in Theory of Computation May 27, 2016

810 views

2 votes

3 answers

11

CMI2014-A-10
Avinash is taller than Abhay. Bharat is taller than Vinu and Vinay is taller than Bharat. Which of the following is a minimal set of additional information that can determine the tallest person? Vinay is taller than Avinash and Abhay is taller than Bharat. Avinash is taller than Vinay. Abhay is shorter than Vinay. None of the above.

go_editor asked in Analytical Aptitude May 27, 2016

730 views

2 votes

2 answers

12

CMI2014-A-09
A company is due to send a shipment to a client and the CEO has resigned. To select a new CEO, some candidates have been interviewed. One of them will be chosen through a vote. If the workers union resort to a strike and the candidates have to be ... B). If the workers union resorted to a strike, then the number of voters was greater than or equal to the number of abstainers.

go_editor asked in Analytical Aptitude May 27, 2016

552 views

1 vote

1 answer

13

CMI2014-A-08
What are the possible values of $gcd(7p + 94,\: 7p^2 + 97p + 47)$, where $p$ is an arbitrary integer? Either $1$ or $94$ Either $94$ or $47$ Either $1$ or $47$ None of these

go_editor asked in Quantitative Aptitude May 27, 2016

524 views

1 vote

1 answer

14

CMI2014-A-07
Let $M$ be the maximum number of unit disks (disks of radius $1$) that can be placed inside a disk of radius $10$ so that each unit disk lies entirely within the larger disk and no two unit disks overlap. Then: $M < 25$ $25 \leq M < 40$ $40 \leq M < 55$ $M \geq 55$

go_editor asked in Quantitative Aptitude May 27, 2016

573 views

6 votes

1 answer

15

CMI2014-A-06
Suppose we are working with a programming language that supports automatic garbage collection. This means that: Uninitialized variables are assigned null values. Unreferenced dynamically allocated memory is added back to free space. Unreachable $\text{if – then – else}$ branches are pruned. Expressions where array indices exceed array bounds are flagged.

go_editor asked in Compiler Design May 27, 2016

801 views

2 votes

2 answers

16

CMI2014-A-05
Let $\Sigma = \{a, b\}$. For a word $w \: \: \in \Sigma^*$ let $n_a(x)$ denote the number of $a$'s in $w$ and let $n_b(x)$ denote the number of $b$'s in $w$ ... $L$? $L$ is regular, but not context-free $L$ is context-free, but not regular $L$ is $\Sigma^*$ None of these

go_editor asked in Theory of Computation May 27, 2016

636 views

1 vote

1 answer

17

CMI2014-A-04
Alan's task is to design an algorithm for a decision problem $P$. He knows that there is an algorithm $A$ that transforms instances of $P$ to instances of the Halting Problem such that $\text{yes}$ instances of $P$ map to $\text{yes}$ instances of the ... $A$ says nothing about whether there is an algorithm for $P$. The Halting Problem can be solved using $A$.

go_editor asked in Algorithms May 27, 2016

653 views

3 votes

3 answers

18

CMI2014-A-03
In the code fragment on the right, start and end are integer values and $\text{prime}(x)$ is a function that returns true if $x$ is a prime number and $\text{false}$ otherwise. At the end of the loop: i := 0; j := 0; k := 0; for (m := start; m <= end; m := m+1){ k := k + m ... + m; }else{ j := j + m; } } $k < i+j$ $k = i+j$ $k > i+j$ Depends on $\text{start}$ and $\text{end}$

go_editor asked in Algorithms May 27, 2016

889 views

12 votes

3 answers

19

CMI2014-A-02
The $12$ houses on one side of a street are numbered with even numbers starting at $2$ and going up to $24$. A free newspaper is delivered on Monday to $3$ different houses chosen at random from these $12$. Find the probability that at least $2$ of these newspapers are delivered to ... with numbers strictly greater than $14$. $\frac{7}{11}$ $\frac{5}{12}$ $\frac{4}{11}$ $\frac{5}{22}$

go_editor asked in Probability May 27, 2016

2.1k views

20 votes

4 answers

20

CMI2014-A-01
For the inter-hostel six-a-side football tournament, a team of $6$ players is to be chosen from $11$ players consisting of $5$ forwards, $4$ defenders and $2$ goalkeepers. The team must include at least $2$ forwards, at least $2$ defenders and at least $1$ goalkeeper. Find the number of different ways in which the team can be chosen. $260$ $340$ $720$ $440$

go_editor asked in Combinatory May 27, 2016

2.3k views

To see more, click for the full list of questions or popular tags.

Recent questions tagged cmi2014