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Recent questions tagged modular-arithmetic
0
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31
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
1.9k
views
combinatory
modular-arithmetic
1
vote
2
answers
32
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
1.2k
views
modular-arithmetic
12
votes
2
answers
33
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 15, 2016
by
Akash Kanase
2.4k
views
gate2012-cy
quantitative-aptitude
modular-arithmetic
44
votes
10
answers
34
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
17.7k
views
gatecse-2016-set2
modular-arithmetic
normal
numerical-answers
4
votes
1
answer
35
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
762
views
tifrmaths2011
quantitative-aptitude
modular-arithmetic
2
votes
2
answers
36
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
456
views
probability
modular-arithmetic
5
votes
1
answer
37
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
1.2k
views
tifr2014
combinatory
modular-arithmetic
7
votes
2
answers
38
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
1.2k
views
tifr2011
quantitative-aptitude
modular-arithmetic
5
votes
2
answers
39
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
1.4k
views
tifrmaths2010
quantitative-aptitude
modular-arithmetic
4
votes
1
answer
40
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
695
views
tifrmaths2010
quantitative-aptitude
modular-arithmetic
3
votes
1
answer
41
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
1.3k
views
modular-arithmetic
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