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Recent questions tagged modular-arithmetic
4
votes
2
answers
1
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
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in
Quantitative Aptitude
May 2
by
GO Classes
483
views
goclasses_wq2
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
2
votes
2
answers
2
GO Classes Weekly Quiz 1 | General Aptitude | Question: 2
Compute the remainder of $3^{64}$ in the division by $67.$
GO Classes
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in
Quantitative Aptitude
May 1
by
GO Classes
270
views
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
2
votes
2
answers
3
GO Classes Weekly Quiz 1 | General Aptitude | Question: 3
Compute $2^{32} \; \mod \; 37$
GO Classes
asked
in
Quantitative Aptitude
May 1
by
GO Classes
205
views
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
1-mark
2
votes
1
answer
4
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 $a\equiv b\; \mod \;m$ and $a'\equiv b' \; \mod \;m,$ then $aa'\equiv bb'\; \mod\; m$ Suppose $a\equiv b \; \mod\; m,$ then $a+m \equiv b \;\mod\; m$
GO Classes
asked
in
Quantitative Aptitude
May 1
by
GO Classes
130
views
goclasses_wq1
goclasses
quantitative-aptitude
number-system
modular-arithmetic
multiple-selects
2-marks
2
votes
1
answer
5
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
by
GO Classes
144
views
goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
2-marks
1
vote
3
answers
6
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
275
views
tifr2021
quantitative-aptitude
modular-arithmetic
17
votes
15
answers
7
GATE CSE 2019 | Question: 21
The value of $3^{51} \text{ mod } 5$ is _____
Arjun
asked
in
Combinatory
Feb 7, 2019
by
Arjun
13.9k
views
gatecse-2019
numerical-answers
combinatory
modular-arithmetic
1-mark
3
votes
4
answers
8
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
535
views
go-mockgate-1
quantitative-aptitude
percentage
modular-arithmetic
7
votes
2
answers
9
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
822
views
go-mockgate-1
numerical-answers
modular-arithmetic
quantitative-aptitude
5
votes
2
answers
10
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
1.1k
views
tifr2019
modular-arithmetic
quantitative-aptitude
11
votes
2
answers
11
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
896
views
tifr2019
quantitative-aptitude
modular-arithmetic
3
votes
2
answers
12
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
888
views
tifr2019
quantitative-aptitude
modular-arithmetic
4
votes
3
answers
13
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
2.4k
views
gate2017-ce-1
modular-arithmetic
quantitative-aptitude
numerical-computation
2
votes
1
answer
14
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
373
views
general-aptitude
modular-arithmetic
made-easy-test-series
2
votes
0
answers
15
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
1.1k
views
modular-arithmetic
15
votes
12
answers
16
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
2.6k
views
tifr2018
quantitative-aptitude
modular-arithmetic
0
votes
2
answers
17
Test of Mathematics at 10+2 Level
The remainder when 3^37 is divided by 79 is A. 78 B. 1 C. 2 D. 35
Surya S. Iyer
asked
in
Quantitative Aptitude
Sep 27, 2017
by
Surya S. Iyer
1.5k
views
combinatory
modular-arithmetic
1
vote
2
answers
18
Modulo
What will be the remainder when $\large 6457^{76^{57}}$ is divided by $\large 23$ ?
radhika khandelwal
asked
in
Quantitative Aptitude
Dec 1, 2016
by
radhika khandelwal
767
views
modular-arithmetic
12
votes
2
answers
19
GATE2012 CY: GA-1
If $(1.001)$^{1259}$= $3.52$ and $(1.001)$^{2062}$= $7.85$, then $(1.001)$^{3321}$= $2.23$ $4.33$ $11.37$ $27.64$
Akash Kanase
asked
in
Quantitative Aptitude
Feb 16, 2016
by
Akash Kanase
1.9k
views
gate2012-cy
quantitative-aptitude
modular-arithmetic
42
votes
8
answers
20
GATE CSE 2016 Set 2 | Question: 29
The value of the expression $13^{99}\pmod{17}$ in the range $0$ to $16$, is ________.
Akash Kanase
asked
in
Combinatory
Feb 12, 2016
by
Akash Kanase
13.4k
views
gatecse-2016-set2
modular-arithmetic
normal
numerical-answers
4
votes
1
answer
21
TIFR-2011-Maths-A-7
The equation $x^{22}\equiv 2$ $\mod 23$ has No solutions $23$ solutions Exactly one solution $22$ solutions
makhdoom ghaya
asked
in
Quantitative Aptitude
Dec 9, 2015
by
makhdoom ghaya
562
views
tifrmaths2011
quantitative-aptitude
modular-arithmetic
2
votes
2
answers
22
Probability
Let $X$ be uniformly distributed on $\{0, 1, 2 \ldots 32\}$. What is probability of choosing $x \in X$ such that $3x + 12 \;\cong\; 0 \pmod{33}$?
kamla sharma
asked
in
Probability
Nov 16, 2015
by
kamla sharma
278
views
probability
modular-arithmetic
5
votes
1
answer
23
TIFR CSE 2014 | Part A | Question: 14
Let $m$ and $n$ be any two positive integers. Then, which of the following is FALSE? $m + 1$ divides $m^{2n} − 1$. For any prime $p$, $m^{p} \equiv m (\mod p)$. If one of $m$, $n$ is prime, then there are integers $x, y$ such that $mx + ny = 1$. If $m < n$, then $m!$ divides $n(n − 1)(n − 2) \ldots (n − m + 1)$. If $2^{n} − 1$ is prime, then $n$ is prime.
makhdoom ghaya
asked
in
Combinatory
Nov 14, 2015
by
makhdoom ghaya
781
views
tifr2014
combinatory
modular-arithmetic
6
votes
2
answers
24
TIFR CSE 2011 | Part A | Question: 20
Let $n>1$ be an odd integer. The number of zeros at the end of the number $99^{n}+1$ is $1$ $2$ $3$ $4$ None of the above
makhdoom ghaya
asked
in
Quantitative Aptitude
Oct 19, 2015
by
makhdoom ghaya
838
views
tifr2011
quantitative-aptitude
modular-arithmetic
5
votes
2
answers
25
TIFR2010-Maths-B-12
If $n$ and $m$ are positive integers and $n^{9}=19m+r$, then the possible values for $r$ modulo 19 are. Only 0 Only 0, $\pm$ 1 Only $\pm$ 1 None of the above
makhdoom ghaya
asked
in
Quantitative Aptitude
Oct 14, 2015
by
makhdoom ghaya
1.0k
views
tifrmaths2010
quantitative-aptitude
modular-arithmetic
4
votes
1
answer
26
TIFR2010-Maths-B-4
Which of the following statements is false? There exists a natural number which when divided by 3 leaves remainder 1 and which when divided by 4 leaves remainder 0 There exists a natural number which when divided by 6 leaves remainder 2 and when ... remainder 3 There exists a natural number which when divided by 12 leaves remainder 7 and when divided by 8 leaves remainder 3
makhdoom ghaya
asked
in
Quantitative Aptitude
Oct 11, 2015
by
makhdoom ghaya
509
views
tifrmaths2010
quantitative-aptitude
modular-arithmetic
1
vote
1
answer
27
What will be the in the units place of?
Q1) What is the units digit of $\left (39^{11} – 32^{11} \right)$? (a) 1 (b) 5 (c) 7 (d) 8 Q2) What will be in the unit place of $45^8 + 19^{11} – 62^{18}$? (a) 0 (b) 2 (c) 3 (d) 7
Pooja Palod
asked
in
Quantitative Aptitude
Sep 25, 2015
by
Pooja Palod
818
views
modular-arithmetic
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