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Search results for modular-arithmetic
19
votes
18
answers
1
GATE CSE 2019 | Question: 21
The value of $3^{51} \text{ mod } 5$ is _____
The value of $3^{51} \text{ mod } 5$ is _____
Arjun
18.5k
views
Arjun
asked
Feb 7, 2019
Combinatory
gatecse-2019
numerical-answers
combinatory
modular-arithmetic
1-mark
+
–
44
votes
11
answers
2
GATE CSE 2016 Set 2 | Question: 29
The value of the expression $13^{99}\pmod{17}$ in the range $0$ to $16$, is ________.
The value of the expression $13^{99}\pmod{17}$ in the range $0$ to $16$, is ________.
Akash Kanase
18.3k
views
Akash Kanase
asked
Feb 12, 2016
Combinatory
gatecse-2016-set2
modular-arithmetic
normal
numerical-answers
+
–
2
votes
3
answers
3
GATE Electrical 2023 | GA Question: 9
The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________. $7$ $1$ $3$ $9$
The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________.$7$$1$$3$$9$
admin
1.0k
views
admin
asked
May 20, 2023
Quantitative Aptitude
gate2023-ee
quantitative-aptitude
modular-arithmetic
+
–
17
votes
2
answers
4
GO Classes CS/DA 2025 | Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 2
If $n!$ denotes the product of the integers $1$ through $n,$ what is the remainder when $(1 !+2 !+3 !+4 !+5 !+6 !+\ldots +9 ! )$ is divided by $9 ?$
If $n!$ denotes the product of the integers $1$ through $n,$ what is the remainder when $(1 !+2 !+3 !+4 !+5 !+6 !+\ldots +9 ! )$ is divided by $9 ?$
GO Classes
829
views
GO Classes
asked
Mar 14, 2023
Quantitative Aptitude
goclasses2025_csda_wq3
numerical-answers
goclasses
quantitative-aptitude
modular-arithmetic
1-mark
+
–
3
votes
3
answers
5
GO Classes CS/DA 2025 | Weekly Quiz 1 | Fundamental Course | Question: 10
Which of the following options is/are TRUE? $43 \equiv-2(\bmod 5)$ $5 \equiv-7(\bmod 3)$ $-10 \equiv-25(\bmod 7)$ $8 \equiv-8(\bmod 5)$
Which of the following options is/are TRUE?$43 \equiv-2(\bmod 5)$$5 \equiv-7(\bmod 3)$$-10 \equiv-25(\bmod 7)$$8 \equiv-8(\bmod 5)$
GO Classes
850
views
GO Classes
asked
Mar 1, 2023
Quantitative Aptitude
goclasses2025_csda_wq1
goclasses
quantitative-aptitude
modular-arithmetic
multiple-selects
2-marks
+
–
2
votes
3
answers
6
DRDO CSE 2022 Paper 2 | Question: 24
Compute the following: $3^{32} \bmod 80$.
Compute the following: $3^{32} \bmod 80$.
admin
582
views
admin
asked
Dec 15, 2022
Quantitative Aptitude
drdocse-2022-paper2
quantitative-aptitude
modular-arithmetic
5-marks
descriptive
+
–
3
votes
4
answers
7
GO Classes Weekly Quiz 1 | General Aptitude | Question: 3
Compute $2^{32} \; \mod \; 37$
Compute $2^{32} \; \mod \; 37$
GO Classes
670
views
GO Classes
asked
May 1, 2022
Quantitative Aptitude
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
+
–
5
votes
4
answers
8
GO Classes CS/DA 2025 | Weekly Quiz 1 | Fundamental Course | Question: 8
Let $k$ be some integer and it is given that $a \equiv b(\bmod n)$ then which of the following(s) is/are ALWAYS true? More than one option can be true. $a \equiv b-3 n(\bmod n)$ $a \equiv b+k(\bmod n)$ $a+k \equiv b+k(\bmod n)$ $a+5 n \equiv b-3 n(\bmod n)$
Let $k$ be some integer and it is given that $a \equiv b(\bmod n)$ then which of the following(s) is/are ALWAYS true?More than one option can be true.$a \equiv b-3 n(\bmo...
GO Classes
1.1k
views
GO Classes
asked
Mar 1, 2023
Quantitative Aptitude
goclasses2025_csda_wq1
goclasses
quantitative-aptitude
modular-arithmetic
multiple-selects
2-marks
+
–
5
votes
2
answers
9
GO Classes CS/DA 2025 | Weekly Quiz 1 | Fundamental Course | Question: 9
Which of the following(s) ALWAYS hold given that $a \equiv b(\bmod n)$ is true for some integers $a, b$ and $n.$ More than one option can be true. $a \bmod n=b \bmod n$ $n \mid(a-b)$ $n \mid a$ $n \mid b$
Which of the following(s) ALWAYS hold given that $a \equiv b(\bmod n)$ is true for some integers $a, b$ and $n.$More than one option can be true.$a \bmod n=b \bmod n$$n \...
GO Classes
834
views
GO Classes
asked
Mar 1, 2023
Quantitative Aptitude
goclasses2025_csda_wq1
goclasses
quantitative-aptitude
modular-arithmetic
multiple-selects
2-marks
+
–
1
votes
0
answers
10
GO Classes 2024 | IIITH Mock Test 5 | Question: 61
What are the last two digits of $1! + 2! + \dots +100!?$ $00$ $13$ $30$ $33$
What are the last two digits of $1! + 2! + \dots +100!?$$00$$13$$30$$33$
GO Classes
279
views
GO Classes
asked
Apr 30, 2023
Quantitative Aptitude
goclasses2024-iiith-mock-5
goclasses
quantitative-aptitude
modular-arithmetic
1-mark
+
–
2
votes
1
answer
11
TIFR CSE 2023 | Part B | Question: 11
Let $m=2877426671$. It is known that $p=5754853343=2 m+1$ is a $10$ -digit prime number. What is $16^{m}(\bmod p)$ ? $1$ $4$ $16$ $2877426671$ $5754853342 \;($ which is actually $-1(\bmod p))$
Let $m=2877426671$. It is known that $p=5754853343=2 m+1$ is a $10$ -digit prime number. What is $16^{m}(\bmod p)$ ?$1$$4$$16$$2877426671$$5754853342 \;($ which is actua...
admin
411
views
admin
asked
Mar 14, 2023
Quantitative Aptitude
tifr2023
quantitative-aptitude
modular-arithmetic
+
–
4
votes
3
answers
12
GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 1
What is the last digit in the decimal representation of $7^{19522}$?
What is the last digit in the decimal representation of $7^{19522}$?
GO Classes
996
views
GO Classes
asked
May 2, 2022
Quantitative Aptitude
goclasses_wq2
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
+
–
3
votes
2
answers
13
GO Classes Weekly Quiz 1 | General Aptitude | Question: 2
Compute the remainder of $3^{64}$ in the division by $67.$
Compute the remainder of $3^{64}$ in the division by $67.$
GO Classes
689
views
GO Classes
asked
May 1, 2022
Quantitative Aptitude
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
+
–
2
votes
1
answer
14
GO Classes Weekly Quiz 1 | General Aptitude | Question: 11
What is the remainder of $62831853$ modulo $11$?
What is the remainder of $62831853$ modulo $11$?
GO Classes
504
views
GO Classes
asked
May 1, 2022
Quantitative Aptitude
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
2-marks
+
–
2
votes
1
answer
15
GO Classes Weekly Quiz 1 | General Aptitude | Question: 10
Which of the following is/are True? Suppose $na\equiv nb\; \mod\; m,$ then $a\equiv b \;\mod\; m$ holds $x^3$ is always congruent to one of $-1, 0, 1$ on $\mod\; 7$. Suppose $a\equiv b\; \mod \;m$ ... $aa'\equiv bb'\; \mod\; m$ Suppose $a\equiv b \; \mod\; m,$ then $a+m \equiv b \;\mod\; m$
Which of the following is/are True?Suppose $na\equiv nb\; \mod\; m,$ then $a\equiv b \;\mod\; m$ holds$x^3$ is always congruent to one of $-1, 0, 1$ on $\mod\; 7$.Suppose...
GO Classes
528
views
GO Classes
asked
May 1, 2022
Quantitative Aptitude
goclasses_wq1
goclasses
quantitative-aptitude
number-system
modular-arithmetic
multiple-selects
2-marks
+
–
7
votes
2
answers
16
GATE Overflow | Mock GATE | Test 1 | Question: 6
The remainder when $'m+n'$ is divided by $12$ is $8$, and the remainder when $'m-n'$ is divided by $12$ is $6$. If $m>n$, then what is the remainder when $'mn'$ is divided by $6$?
The remainder when $'m+n'$ is divided by $12$ is $8$, and the remainder when $'m-n'$ is divided by $12$ is $6$. If $m>n$, then what is the remainder when $'mn'$ is divide...
Ruturaj Mohanty
1.4k
views
Ruturaj Mohanty
asked
Dec 27, 2018
Quantitative Aptitude
go-mockgate-1
numerical-answers
modular-arithmetic
quantitative-aptitude
+
–
3
votes
4
answers
17
GATE Overflow | Mock GATE | Test 1 | Question: 4
What is the value of $(x \% \text{ of } y) + (y \% \text{ of } x)$? $20 \% \text{ of } x/y$ $2 \% \text{ of } x/y$ $2 \% \text{ of } xy$ $20 \% \text{ of } xy$
What is the value of $(x \% \text{ of } y) + (y \% \text{ of } x)$?$20 \% \text{ of } x/y$$2 \% \text{ of } x/y$$2 \% \text{ of } xy$$20 \% \text{ of } xy$
Ruturaj Mohanty
950
views
Ruturaj Mohanty
asked
Dec 27, 2018
Quantitative Aptitude
go-mockgate-1
quantitative-aptitude
percentage
modular-arithmetic
+
–
1
votes
3
answers
18
TIFR CSE 2021 | Part A | Question: 13
What are the last two digits of $7^{2021}$? $67$ $07$ $27$ $01$ $77$
What are the last two digits of $7^{2021}$?$67$$07$$27$$01$$77$
soujanyareddy13
554
views
soujanyareddy13
asked
Mar 25, 2021
Quantitative Aptitude
tifr2021
quantitative-aptitude
modular-arithmetic
+
–
17
votes
12
answers
19
TIFR CSE 2018 | Part B | Question: 1
What is the remainder when $4444^{4444}$ is divided by $9?$ $1$ $2$ $5$ $7$ $8$
What is the remainder when $4444^{4444}$ is divided by $9?$$1$$2$$5$$7$$8$
Arjun
3.4k
views
Arjun
asked
Dec 10, 2017
Quantitative Aptitude
tifr2018
quantitative-aptitude
modular-arithmetic
+
–
12
votes
2
answers
20
TIFR CSE 2019 | Part A | Question: 7
What are the last two digits of $1! + 2! + \dots +100!$? $00$ $13$ $30$ $33$ $73$
What are the last two digits of $1! + 2! + \dots +100!$?$00$$13$$30$$33$$73$
Arjun
1.6k
views
Arjun
asked
Dec 18, 2018
Quantitative Aptitude
tifr2019
quantitative-aptitude
modular-arithmetic
+
–
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