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Recent questions tagged modular-arithmetic
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1
GATE Electrical 2023 | GA Question: 9
The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________. $7$ $1$ $3$ $9$
admin
asked
in
Quantitative Aptitude
May 20, 2023
by
admin
872
views
gate2023-ee
quantitative-aptitude
modular-arithmetic
2
votes
1
answer
2
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 $-1(\bmod p))$
admin
asked
in
Quantitative Aptitude
Mar 14, 2023
by
admin
373
views
tifr2023
quantitative-aptitude
modular-arithmetic
1
vote
3
answers
3
DRDO CSE 2022 Paper 2 | Question: 24
Compute the following: $3^{32} \bmod 80$.
admin
asked
in
Quantitative Aptitude
Dec 15, 2022
by
admin
510
views
drdocse-2022-paper2
quantitative-aptitude
modular-arithmetic
5-marks
descriptive
4
votes
3
answers
4
GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 1
What is the last digit in the decimal representation of $7^{19522}$?
GO Classes
asked
in
Quantitative Aptitude
May 2, 2022
by
GO Classes
938
views
goclasses_wq2
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
3
votes
2
answers
5
GO Classes Weekly Quiz 1 | General Aptitude | Question: 2
Compute the remainder of $3^{64}$ in the division by $67.$
GO Classes
asked
in
Quantitative Aptitude
May 1, 2022
by
GO Classes
616
views
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
3
votes
4
answers
6
GO Classes Weekly Quiz 1 | General Aptitude | Question: 3
Compute $2^{32} \; \mod \; 37$
GO Classes
asked
in
Quantitative Aptitude
May 1, 2022
by
GO Classes
596
views
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
2
votes
1
answer
7
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 $a+m \equiv b \;\mod\; m$
GO Classes
asked
in
Quantitative Aptitude
May 1, 2022
by
GO Classes
474
views
goclasses_wq1
goclasses
quantitative-aptitude
number-system
modular-arithmetic
multiple-selects
2-marks
2
votes
1
answer
8
GO Classes Weekly Quiz 1 | General Aptitude | Question: 11
What is the remainder of $62831853$ modulo $11$?
GO Classes
asked
in
Quantitative Aptitude
May 1, 2022
by
GO Classes
455
views
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
2-marks
1
vote
3
answers
9
TIFR CSE 2021 | Part A | Question: 13
What are the last two digits of $7^{2021}$? $67$ $07$ $27$ $01$ $77$
soujanyareddy13
asked
in
Quantitative Aptitude
Mar 25, 2021
by
soujanyareddy13
490
views
tifr2021
quantitative-aptitude
modular-arithmetic
19
votes
18
answers
10
GATE CSE 2019 | Question: 21
The value of $3^{51} \text{ mod } 5$ is _____
Arjun
asked
in
Combinatory
Feb 7, 2019
by
Arjun
17.9k
views
gatecse-2019
numerical-answers
combinatory
modular-arithmetic
1-mark
3
votes
4
answers
11
GATE Overflow | Mock GATE | Test 1 | Question: 4
What is the value of $(x \% \text{ of } y) + (y \% \text{ of } x)$? $20 \% \text{ of } x/y$ $2 \% \text{ of } x/y$ $2 \% \text{ of } xy$ $20 \% \text{ of } xy$
Ruturaj Mohanty
asked
in
Quantitative Aptitude
Dec 27, 2018
by
Ruturaj Mohanty
868
views
go-mockgate-1
quantitative-aptitude
percentage
modular-arithmetic
7
votes
2
answers
12
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 $6$?
Ruturaj Mohanty
asked
in
Quantitative Aptitude
Dec 27, 2018
by
Ruturaj Mohanty
1.3k
views
go-mockgate-1
numerical-answers
modular-arithmetic
quantitative-aptitude
5
votes
2
answers
13
TIFR CSE 2019 | Part A | Question: 2
How many proper divisors (that is, divisors other than $1$ or $7200$) does $7200$ have ? $18$ $20$ $52$ $54$ $60$
Arjun
asked
in
Quantitative Aptitude
Dec 18, 2018
by
Arjun
1.5k
views
tifr2019
modular-arithmetic
quantitative-aptitude
12
votes
2
answers
14
TIFR CSE 2019 | Part A | Question: 7
What are the last two digits of $1! + 2! + \dots +100!$? $00$ $13$ $30$ $33$ $73$
Arjun
asked
in
Quantitative Aptitude
Dec 18, 2018
by
Arjun
1.3k
views
tifr2019
quantitative-aptitude
modular-arithmetic
3
votes
2
answers
15
TIFR CSE 2019 | Part B | Question: 14
Let $m$ and $n$ be two positive integers. Which of the following is NOT always true? If $m$ and $n$ are co-prime, there exist integers $a$ and $b$ such that $am + bn=1$ $m^{n-1} \equiv 1 (\text{ mod } n)$ ... $m+1$ is a factor of $m^{n(n+1)}-1$ If $2^n -1$ is prime, then $n$ is prime
Arjun
asked
in
Quantitative Aptitude
Dec 18, 2018
by
Arjun
1.3k
views
tifr2019
quantitative-aptitude
modular-arithmetic
4
votes
3
answers
16
GATE2017 CE-1: GA-8
The last digit of $(2171)^{7}+(2172)^{9}+(2173)^{11}+(2174)^{13}$ is $2$ $4$ $6$ $8$
Milicevic3306
asked
in
Quantitative Aptitude
Mar 26, 2018
by
Milicevic3306
3.0k
views
gate2017-ce-1
modular-arithmetic
quantitative-aptitude
numerical-computation
2
votes
1
answer
17
MadeEasy Test Series 2018: General Aptitude - Modular Arithematic
The value of the expression $13^{88} \text{(mod 19)},$ in the range $0$ to $18,$ is ________.
sumit chakraborty
asked
in
Quantitative Aptitude
Jan 27, 2018
by
sumit chakraborty
540
views
general-aptitude
modular-arithmetic
made-easy-test-series
2
votes
0
answers
18
Modular arithmetic. Solve for x : (103*x) mod 360 = 1.
Solve for x : (103*x) mod 360 = 1. Please explain how to solve this step by step. The answer is 7.
Rohit Gupta 8
asked
in
Computer Networks
Jan 14, 2018
by
Rohit Gupta 8
1.5k
views
modular-arithmetic
17
votes
12
answers
19
TIFR CSE 2018 | Part B | Question: 1
What is the remainder when $4444^{4444}$ is divided by $9?$ $1$ $2$ $5$ $7$ $8$
Arjun
asked
in
Quantitative Aptitude
Dec 10, 2017
by
Arjun
3.2k
views
tifr2018
quantitative-aptitude
modular-arithmetic
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