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Questions with numerical answers and no options. No negative marks for these questions.
Recent questions tagged numerical-answers
0
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GO 2021 Discrete Mathematics 3: 1
Let $'a'$ be an element in a group such that $ord(a) = 2020.$ Find the order of $43?$
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4 days
ago
in
Set Theory & Algebra
by
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go2021-dm-3
numerical-answers
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0
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1
answer
2
2
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GO 2021 Discrete Mathematics 3: 2
Let $G$ be a group with order $45$, and $H$ a non-abelian subgroup of $G$. Assuming $H \neq G$,what is the smallest possible order of $H$?
asked
4 days
ago
in
Set Theory & Algebra
by
gatecse
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23.1k
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2
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go2021-dm-3
numerical-answers
groups
0
votes
1
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3
4
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GO 2021 Discrete Mathematics 3: 4
The number of complements of element $'g'$ is $\_\_\_\_\_$ \begin{tikzpicture} \tikzstyle{every node}=[rectangle,draw,scale=1,color=black!70!red,transform shape] \node (a) at (0,0) {a}; \node (b) at (0,3) {b}; \node (c) at (-2,1.5) {c}; \node (d) at (-1.5,1.5) { ... draw[-] (b) -- (h); \draw[-] (b) -- (i); \draw[-] (b) -- (j); \draw[-] (b) -- (k); \end{tikzpicture}
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4 days
ago
in
Set Theory & Algebra
by
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4
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go2021-dm-3
numerical-answers
partial-order
0
votes
1
answer
4
2
views
GO 2021 Discrete Mathematics 3: 11
The value of $x_5$ for the recurrence relation defined by $x_n = 5x_{n-1} + 3$ with initial condition $x_1 = 3$ is $\_\_\_\_\_\_\_\_\_$
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4 days
ago
in
Set Theory & Algebra
by
gatecse
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23.1k
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2
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go2021-dm-3
numerical-answers
recurrence
0
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1
answer
5
3
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GO 2021 Discrete Mathematics 3: 13
The following is the Hasse diagram of the poset $\left[\{1,2,3,4,6,7,12,14,21,28,42,84\},\:\mid\right],$ where $\mid $ is the "divides" relation. \begin{tikzpicture} \tikzstyle{every node}=[rectangle,draw,scale=1,color=black!70!red,transform shape] ... $\gamma$ respectively, then the value of $2\alpha + 3 \beta + 4\gamma $ is $\_\_\_\_$
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ago
in
Set Theory & Algebra
by
gatecse
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23.1k
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3
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go2021-dm-3
numerical-answers
partial-order
0
votes
1
answer
6
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views
GO 2021 Discrete Mathematics 3: 19
Let $G$ be a finite group on $243$ elements. The size of the largest possible proper subgroup of $G$ is $\_\_\_\_\_$
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4 days
ago
in
Set Theory & Algebra
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gatecse
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23.1k
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2
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go2021-dm-3
numerical-answers
groups
0
votes
1
answer
7
4
views
GO 2021 Discrete Mathematics 3: 20
The remainder when $99^{96}$ is divided by $97$ is
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4 days
ago
in
Set Theory & Algebra
by
gatecse
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23.1k
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4
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go2021-dm-3
numerical-answers
groups
fermat-theorem
0
votes
1
answer
8
3
views
GO 2021 Discrete Mathematics 3: 21
How many non-isomorphic abelian groups of order $32$ are there?
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4 days
ago
in
Set Theory & Algebra
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gatecse
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23.1k
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3
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go2021-dm-3
numerical-answers
groups
0
votes
1
answer
9
3
views
GO 2021 Discrete Mathematics 3: 22
Let $G$ be a cyclic group of order $96$, then the number of subgroups of $G$ is $\_\_\_\_\_$
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4 days
ago
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Set Theory & Algebra
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gatecse
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3
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go2021-dm-3
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groups
0
votes
1
answer
10
3
views
GO 2021 Discrete Mathematics 3: 23
If G is cyclic group of order $48$, then how many element of order $8$ are in $G$?
asked
4 days
ago
in
Set Theory & Algebra
by
gatecse
Boss
(
23.1k
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3
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go2021-dm-3
numerical-answers
groups
0
votes
1
answer
11
2
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GO 2021 Discrete Mathematics 3: 25
The remainder when $60^{61}$ is divided by $61$ is
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4 days
ago
in
Set Theory & Algebra
by
gatecse
Boss
(
23.1k
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2
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go2021-dm-3
numerical-answers
groups
fermat-theorem
0
votes
1
answer
12
9
views
GO 2021 Discrete Mathematics 2: 2
Consider a set $A$ with $6$ elements. Let $N_1$ denote the number of bijective functions from $A$ to $A$ and let $N_2$ denote the number of onto (surjective) functions from $A$ to $A.$ $N_2 - N_1 = \_\_\_\_\_$
asked
Jun 28
in
Combinatory
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gatecse
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23.1k
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9
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go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
13
8
views
GO 2021 Discrete Mathematics 2: 3
Number of bit strings of length $10$ that do not end in “$111$” is $\_\_\_\_$
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Jun 28
in
Combinatory
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gatecse
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23.1k
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8
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go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
14
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views
GO 2021 Discrete Mathematics 2: 6
The number of positive integers less than $1000$ which are divisible by $7$ but not by $11$ is $\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
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(
23.1k
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2
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go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
15
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views
GO 2021 Discrete Mathematics 2: 11
Professor Nalanda has $6$ properties which he decided to distribute among his $4$ daughters. He hires a consultancy firm for the same which charges Rs. 100 for each of the possible distribution assuming each daughter gets at least one property and all daughters being considered distinct. How much fee will Professor have to pay the agency (in multiples of 100)?
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
2
views
go2021-dm-2
numerical-answers
permutation-combination
counting
combinatorics
moderate
0
votes
1
answer
16
4
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GO 2021 Discrete Mathematics 2: 12
A game of cards is played among $4$ friends. After the initial split of $52$ cards, one person told that he has got $4$ Aces and all the remaining $9$ cards are of the same suit. Total number of ways in which this is possible is $\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
4
views
go2021-dm-2
numerical-answers
permutation-combination
counting
combinatorics
moderate
0
votes
1
answer
17
7
views
GO 2021 Discrete Mathematics 2: 15
Number of positive integer solutions to the equation $4x+y+z = 21$ is $\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
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7
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go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
18
2
views
GO 2021 Discrete Mathematics 2: 16
A board is formed by combining $100$ squares of same size, $10$ in each direction. The total number of squares (of all sizes) that can be formed from the resultant board is $\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
2
views
go2021-dm-2
numerical-answers
0
votes
1
answer
19
2
views
GO 2021 Discrete Mathematics 2: 18
The number of positive integers less than $1000$ which are divisible by exactly one of $7$ or $11$ is $\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
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2
views
go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
20
3
views
GO 2021 Discrete Mathematics 2: 19
Let $S_1 = \{1,2,3,4,5\}$ and $S_2 = \{a,b,c\}.$ Number of into functions from $S_1 \to S_2$ is $\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
3
views
go2021-dm-2
numerical-answers
permutation-combination
counting
combinatorics
moderate
0
votes
1
answer
21
2
views
GO 2021 Discrete Mathematics 2: 20
Number of positive even integers less than $1000$ having distinct digits is $\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
2
views
go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
22
2
views
GO 2021 Discrete Mathematics 2: 21
The number of non-empty partitions of a set of size $5$ is $\_\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
2
views
go2021-dm-2
numerical-answers
counting
combinatorics
easy
bell-number
0
votes
1
answer
23
2
views
GO 2021 Discrete Mathematics 2: 22
The number of ways in which we can choose $3$ numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8,9\}$ so that more odd numbers are chosen than even is $\_\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
2
views
go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
24
3
views
GO 2021 Discrete Mathematics 2: 26
In a college $10$ Servers are bought and they are to be distributed among $4$ laboratories such that each laboratory gets at least one server. The total number of ways in which this can be done is $\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
3
views
go2021-dm-2
numerical-answers
permutation-combination
counting
combinatorics
moderate
0
votes
1
answer
25
2
views
GO 2021 Discrete Mathematics 2: 28
The $n^{th}$ term of the sequence generated by the function $\frac{2}{(1-x)^2} \cdot \frac{x}{1-x-x^2}$ is represented as $a_n$. The value of $a_6$ is$\_\_\_\_\_\_$.
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
2
views
go2021-dm-2
numerical-answers
generating-functions
combinatorics
0
votes
1
answer
26
1
view
GO 2021 Discrete Mathematics 2: 29
A decimal number is called “increasing” if each digit is greater than the previous one (e.g., 3689 is one). Total number of $6$ digit increasing numbers are $\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
1
view
go2021-dm-2
numerical-answers
counting
combinatorics
0
votes
1
answer
27
3
views
GO 2021 Discrete Mathematics 2: 30
Number of triangles that can be formed with vertices on a $3 \times 3$ grid of points is $\_\_\_\_$
asked
Jun 28
in
Combinatory
by
gatecse
Boss
(
23.1k
points)
3
views
go2021-dm-2
numerical-answers
0
votes
1
answer
28
10
views
GO 2021 Discrete Mathematics 1: 13
Consider set $A = \{1,2,3,4,5\}.$ From all the subsets of $A,$ we define a new set $X$ as $X = \{(P,Q) \mid |P \Delta Q| = 2\},$ where $(P,Q)$ is ordered pair $(P,Q)$ and $\Delta$ denotes the symmetric difference operation. Number of elements in $X,$ i.e., $|X|$ is $\_\_\_\_\_$
asked
Jun 21
in
Set Theory & Algebra
by
gatecse
Boss
(
23.1k
points)
10
views
go2021-dm-1
numerical-answers
sets
difficult
0
votes
1
answer
29
1
view
GO 2021 Discrete Mathematics 1: 13
Consider set $A = \{1,2,3,4,5\}.$ From all the subsets of $A,$ we define a new set $X$ as $X = \{(P,Q) \mid |P \Delta Q| = 2\},$ where $(P,Q)$ is ordered pair $(P,Q)$ and $\Delta$ denotes the symmetric difference operation. Number of elements in $X,$ i.e., $|X|$ is $\_\_\_\_\_$
asked
Jun 21
in
Set Theory & Algebra
by
gatecse
Boss
(
23.1k
points)
1
view
go2021-dm-1
numerical-answers
sets
difficult
0
votes
0
answers
30
1
view
GO 2021 Discrete Mathematics 1: 25
Let $f$ be a function from set $A$ to set $B.$ Let $S$ and $T$ be two subsets of A. Now, consider the statements given below. $S_1:$ $f(S \cup T ) = f (S) \cup f (T ).$ $S_2:$ $f(S \cap T ) = f (S) \cap f (T ).$ Which of the above statements is/are TRUE?
asked
Jun 21
in
Set Theory & Algebra
by
gatecse
Boss
(
23.1k
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1
view
go2021-dm-1
numerical-answers
functions
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