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Recent questions tagged number-system
2
votes
1
answer
61
GATE Civil 2020 Set 1 | GA Question: 9
The unit’s place in $26591749^{110016}$ is ______. $1$ $3$ $6$ $9$
The unit’s place in $26591749^{110016}$ is ______.$1$$3$$6$$9$
go_editor
746
views
go_editor
asked
Feb 27, 2020
Quantitative Aptitude
gate2020-ce-1
quantitative-aptitude
number-system
unit-digit
+
–
6
votes
3
answers
62
ISI2014-DCG-10
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is $40$ $50$ $60$ $30$
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is$40$$50$$60$$30$
Arjun
988
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2014-dcg
quantitative-aptitude
number-system
factors
+
–
2
votes
1
answer
63
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
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 t...
Arjun
424
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2014-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
3
votes
2
answers
64
ISI2014-DCG-69
The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to $18$ $720$ $360$ $36$
The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to$18$$720$$360$$36$
Arjun
700
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2014-dcg
quantitative-aptitude
number-system
factors
+
–
3
votes
2
answers
65
ISI2015-MMA-2
If $a,b$ are positive real variables whose sum is a constant $\lambda$, then the minimum value of $\sqrt{(1+1/a)(1+1/b)}$ is $\lambda \: – 1/\lambda$ $\lambda + 2/\lambda$ $\lambda+1/\lambda$ None of the above
If $a,b$ are positive real variables whose sum is a constant $\lambda$, then the minimum value of $\sqrt{(1+1/a)(1+1/b)}$ is$\lambda \: – 1/\lambda$$\lambda + 2/\lambda...
Arjun
1.6k
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
quantitative-aptitude
number-system
minimum-value
non-gate
+
–
3
votes
3
answers
66
ISI2015-MMA-3
Let $x$ be a positive real number. Then $x^2+\pi ^2 + x^{2 \pi} > x \pi+ (\pi + x) x^{\pi}$ $x^{\pi}+\pi^x > x^{2 \pi} + \pi ^{2x}$ $\pi x +(\pi+x)x^{\pi} > x^2+\pi ^2 + x^{2 \pi}$ none of the above
Let $x$ be a positive real number. Then$x^2+\pi ^2 + x^{2 \pi} x \pi+ (\pi + x) x^{\pi}$$x^{\pi}+\pi^x x^{2 \pi} + \pi ^{2x}$$\pi x +(\pi+x)x^{\pi} x^2+\pi ^2 + x^{2 \...
Arjun
1.4k
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
number-system
non-gate
+
–
2
votes
2
answers
67
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
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
1.1k
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
quantitative-aptitude
number-system
remainder-theorem
+
–
1
votes
1
answer
68
ISI2015-MMA-12
Consider the polynomial $x^5+ax^4+bx^3+cx^2+dx+4$ where $a,b,c,d$ are real numbers. If $(1+2i)$ and $(3-2i)$ are two two roots of this polynomial then the value of $a$ is $-524/65$ $524/65$ $-1/65$ $1/65$
Consider the polynomial $x^5+ax^4+bx^3+cx^2+dx+4$ where $a,b,c,d$ are real numbers. If $(1+2i)$ and $(3-2i)$ are two two roots of this polynomial then the value of $a$ i...
Arjun
736
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
quantitative-aptitude
number-system
polynomials
roots
non-gate
+
–
1
votes
1
answer
69
ISI2015-MMA-14
Consider the following system of equivalences of integers, $x \equiv 2 \text{ mod } 15$ $x \equiv 4 \text{ mod } 21$ The number of solutions in $x$, where $1 \leq x \leq 315$, to the above system of equivalences is $0$ $1$ $2$ $3$
Consider the following system of equivalences of integers,$$x \equiv 2 \text{ mod } 15$$$$x \equiv 4 \text{ mod } 21$$The number of solutions in $x$, where $1 \leq x \leq...
Arjun
1.2k
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
quantitative-aptitude
number-system
congruent-modulo
non-gate
+
–
1
votes
1
answer
70
ISI2015-MMA-15
The number of real solutions of the equations $(9/10)^x = -3+x-x^2$ is $2$ $0$ $1$ none of the above
The number of real solutions of the equations $(9/10)^x = -3+x-x^2$ is$2$$0$$1$none of the above
Arjun
593
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
quantitative-aptitude
number-system
quadratic-equations
non-gate
+
–
0
votes
2
answers
71
ISI2015-MMA-24
The series $\sum_{k=2}^{\infty} \frac{1}{k(k-1)}$ converges to $-1$ $1$ $0$ does not converge
The series $\sum_{k=2}^{\infty} \frac{1}{k(k-1)}$ converges to$-1$$1$$0$does not converge
Arjun
589
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
number-system
convergence-divergence
summation
non-gate
+
–
0
votes
1
answer
72
ISI2015-MMA-29
The set $\{x \: : \begin{vmatrix} x+\frac{1}{x} \end{vmatrix} \gt6 \}$ equals the set $(0,3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$ $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2}, \infty)$ $(- \infty, 3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$ $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2},3-2\sqrt{2}) \cup (3+2 \sqrt{2}, \infty )$
The set $\{x \: : \begin{vmatrix} x+\frac{1}{x} \end{vmatrix} \gt6 \}$ equals the set$(0,3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$$(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqr...
Arjun
540
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
number-system
non-gate
+
–
1
votes
1
answer
73
ISI2015-MMA-41
Let $k$ and $n$ be integers greater than $1$. Then $(kn)!$ is not necessarily divisible by $(n!)^k$ $(k!)^n$ $n! \cdot k! \cdot$ $2^{kn}$
Let $k$ and $n$ be integers greater than $1$. Then $(kn)!$ is not necessarily divisible by$(n!)^k$$(k!)^n$$n! \cdot k! \cdot$$2^{kn}$
Arjun
632
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2015-mma
quantitative-aptitude
number-system
remainder-theorem
+
–
1
votes
1
answer
74
ISI2015-DCG-6
The coefficient of $x^2$ in the product $(1+x)(1+2x)(1+3x) \dots (1+10x)$ is $1320$ $1420$ $1120$ None of these
The coefficient of $x^2$ in the product $(1+x)(1+2x)(1+3x) \dots (1+10x)$ is$1320$$1420$$1120$None of these
gatecse
383
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
coefficients
+
–
1
votes
2
answers
75
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 $16$ $17$ $18$ $10$
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$$10$
gatecse
507
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
2
votes
1
answer
76
ISI2015-DCG-9
Let $a$ be the $81$ – digit number of which all the digits are equal to $1$. Then the number $a$ is, divisible by $9$ but not divisible by $27$ divisible by $27$ but not divisible by $81$ divisible by $81$ None of the above
Let $a$ be the $81$ – digit number of which all the digits are equal to $1$. Then the number $a$ is,divisible by $9$ but not divisible by $27$divisible by $27$ but not ...
gatecse
484
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
1
votes
1
answer
77
ISI2015-DCG-12
The highest power of $3$ contained in $1000!$ is $198$ $891$ $498$ $292$
The highest power of $3$ contained in $1000!$ is$198$$891$$498$$292$
gatecse
496
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
factors
+
–
0
votes
1
answer
78
ISI2015-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
For all the natural number $n \geq 3, \: n^2+1$ isdivisible by $3$not divisible by $3$divisible by $9$None of these
gatecse
347
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
+
–
0
votes
1
answer
79
ISI2015-DCG-14
For natural numbers $n$, the inequality $2^n >2n+1$ is valid when $n \geq 3$ $n < 3$ $n=3$ None of these
For natural numbers $n$, the inequality $2^n >2n+1$ is valid when$n \geq 3$$n < 3$$n=3$None of these
gatecse
341
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
+
–
0
votes
1
answer
80
ISI2015-DCG-18
The value of $(1.1)^{10}$ correct to $4$ decimal places is $2.4512$ $1.9547$ $2.5937$ $1.4512$
The value of $(1.1)^{10}$ correct to $4$ decimal places is$2.4512$$1.9547$$2.5937$$1.4512$
gatecse
469
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
binomial-theorem
+
–
0
votes
1
answer
81
ISI2015-DCG-19
The expression $3^{2n+1} + 2^{n+2}$ is divisible by $7$ for all positive integer values of $n$ all non-negative integer values of $n$ only even integer values of $n$ only odd integer values of $n$
The expression $3^{2n+1} + 2^{n+2}$ is divisible by $7$ forall positive integer values of $n$all non-negative integer values of $n$only even integer values of $n$only odd...
gatecse
386
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
+
–
2
votes
2
answers
82
ISI2015-DCG-20
The total number of factors of $3528$ greater than $1$ but less than $3528$ is $35$ $36$ $34$ None of these
The total number of factors of $3528$ greater than $1$ but less than $3528$ is$35$$36$$34$None of these
gatecse
449
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
number-system
factors
+
–
1
votes
1
answer
83
ISI2016-DCG-6
The coefficient of $x^{2}$ in the product $(1+x)(1+2x)(1+3x)\cdots (1+10x)$ is $1320$ $1420$ $1120$ None of these
The coefficient of $x^{2}$ in the product $(1+x)(1+2x)(1+3x)\cdots (1+10x)$ is$1320$$1420$$1120$None of these
gatecse
354
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
+
–
1
votes
1
answer
84
ISI2016-DCG-8
Let $S=\{0,1,2,\cdots,25\}$ and $T=\{n\in S\: : \: n^{2}+3n+2\: \text{is divisible by}\: 6\}$. Then the number of elements in the set $T$ is $16$ $17$ $18$ $10$
Let $S=\{0,1,2,\cdots,25\}$ and $T=\{n\in S\: : \: n^{2}+3n+2\: \text{is divisible by}\: 6\}$. Then the number of elements in the set $T$ is$16$$17$$18$$10$
gatecse
237
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
0
votes
1
answer
85
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
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 di...
gatecse
254
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
1
votes
1
answer
86
ISI2016-DCG-12
The highest power of $3$ contained in $1000!$ is $198$ $891$ $498$ $292$
The highest power of $3$ contained in $1000!$ is$198$$891$$498$$292$
gatecse
262
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
0
votes
1
answer
87
ISI2016-DCG-13
For all the natural number $n\geq 3,\: n^{2}+1$ is divisible by $3$ not divisible by $3$ divisible by $9$ None of these
For all the natural number $n\geq 3,\: n^{2}+1$ isdivisible by $3$not divisible by $3$divisible by $9$None of these
gatecse
321
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
0
votes
0
answers
88
ISI2016-DCG-18
The value of $(1.1)^{10}$ correct to $4$ decimal places is $2.4512$ $1.9547$ $2.5937$ $1.4512$
The value of $(1.1)^{10}$ correct to $4$ decimal places is$2.4512$$1.9547$$2.5937$$1.4512$
gatecse
308
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
+
–
1
votes
2
answers
89
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 $n$
The expression $3^{2n+1}+2^{n+2}$ is divisible by $7$ forall positive integer values of $n$all non-negative integer values of $n$only even integer values of $n$only odd i...
gatecse
418
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
+
–
1
votes
1
answer
90
ISI2016-DCG-20
The total number of factors of $3528$ greater than $1$ but less than $3528$ is $35$ $36$ $34$ None of these
The total number of factors of $3528$ greater than $1$ but less than $3528$ is$35$$36$$34$None of these
gatecse
304
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
number-system
factors
+
–
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