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Recent questions tagged remainder-theorem
4
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2
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1
GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 1
What is the last digit in the decimal representation of $7^{19522}$?
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May 2
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GO Classes
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numerical-answers
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quantitative-aptitude
number-system
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remainder-theorem
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2
votes
2
answers
2
GO Classes Weekly Quiz 1 | General Aptitude | Question: 2
Compute the remainder of $3^{64}$ in the division by $67.$
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Quantitative Aptitude
May 1
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GO Classes
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goclasses_wq1
numerical-answers
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remainder-theorem
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2
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2
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3
GO Classes Weekly Quiz 1 | General Aptitude | Question: 3
Compute $2^{32} \; \mod \; 37$
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Quantitative Aptitude
May 1
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GO Classes
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goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
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2
votes
1
answer
4
GO Classes Weekly Quiz 1 | General Aptitude | Question: 11
What is the remainder of $62831853$ modulo $11$?
GO Classes
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Quantitative Aptitude
May 1
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GO Classes
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goclasses_wq1
numerical-answers
goclasses
quantitative-aptitude
number-system
modular-arithmetic
remainder-theorem
2-marks
2
votes
1
answer
5
ISI2014-DCG-36
Consider any integer $I=m^2+n^2$, where $m$ and $n$ are odd integers. Then $I$ is never divisible by $2$ $I$ is never divisible by $4$ $I$ is never divisible by $6$ None of the above
Arjun
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in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
285
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isi2014-dcg
quantitative-aptitude
number-system
remainder-theorem
2
votes
2
answers
6
ISI2015-MMA-11
The number of positive integers which are less than or equal to $1000$ and are divisible by none of $17$, $19$ and $23$ equals $854$ $153$ $160$ none of the above
Arjun
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in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
783
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isi2015-mma
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
7
ISI2015-MMA-41
Let $k$ and $n$ be integers greater than $1$. Then $(kn)!$ is not necessarily divisible by $(n!)^k$ $(k!)^n$ $n! \cdot k! \cdot$ $2^{kn}$
Arjun
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in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
431
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isi2015-mma
quantitative-aptitude
number-system
remainder-theorem
1
vote
2
answers
8
ISI2015-DCG-8
Let $S=\{0, 1, 2, \cdots 25\}$ and $T=\{n \in S: n^2+3n+2$ is divisible by $6\}$. Then the number of elements in the set $T$ is $16$ $17$ $18$ $10$
gatecse
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Quantitative Aptitude
Sep 18, 2019
by
gatecse
296
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isi2015-dcg
quantitative-aptitude
number-system
remainder-theorem
2
votes
1
answer
9
ISI2015-DCG-9
Let $a$ be the $81$ – digit number of which all the digits are equal to $1$. Then the number $a$ is, divisible by $9$ but not divisible by $27$ divisible by $27$ but not divisible by $81$ divisible by $81$ None of the above
gatecse
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Quantitative Aptitude
Sep 18, 2019
by
gatecse
291
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isi2015-dcg
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
10
ISI2016-DCG-8
Let $S=\{0,1,2,\cdots,25\}$ and $T=\{n\in S\: : \: n^{2}+3n+2\: \text{is divisible by}\: 6\}$. Then the number of elements in the set $T$ is $16$ $17$ $18$ $10$
gatecse
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Quantitative Aptitude
Sep 18, 2019
by
gatecse
168
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isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
0
votes
1
answer
11
ISI2016-DCG-10
Let $a$ be the $81$-digit number of which all the digits are equal to $1.$ Then the number $a$ is , divisible by $9$ but not divisible by $27$ divisible by $27$ but not divisible by $81$ divisible by $81$ None of the above
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
170
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
12
ISI2016-DCG-12
The highest power of $3$ contained in $1000!$ is $198$ $891$ $498$ $292$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
171
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
0
votes
1
answer
13
ISI2016-DCG-13
For all the natural number $n\geq 3,\: n^{2}+1$ is divisible by $3$ not divisible by $3$ divisible by $9$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
204
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
1
vote
2
answers
14
ISI2016-DCG-19
The expression $3^{2n+1}+2^{n+2}$ is divisible by $7$ for all positive integer values of $n$ all non-negative integer values of $n$ only even integer values of $n$ only odd integer values of $n$
gatecse
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in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
257
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isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
0
votes
0
answers
15
ISI2016-MMA-16
Suppose a 6 digit number $N$ is formed by rearranging the digits of the number 123456. If $N$ is divisible by 5, then the set of all possible remainders when $N$ is divided by 45 is $\{30\}$ $\{15, 30\}$ $\{0, 15, 30\}$ $\{0, 5, 15, 30\}$
go_editor
asked
in
Quantitative Aptitude
Sep 13, 2018
by
go_editor
169
views
isi2016-mmamma
quantitative-aptitude
number-system
remainder-theorem
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