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Recent questions tagged inequality
+2
votes
2
answers
1
ISI2015MMA50
Let ... $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
asked
Sep 23, 2019
in
Others
by
Arjun
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(
431k
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30
views
isi2015mma
inequality
nongate
0
votes
0
answers
2
ISI2015MMA65
Let $n$ be a positive real number and $p$ be a positive integer. Which of the following inequalities is true? $n^p > \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $n^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $(n+1)^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ none of the above
asked
Sep 23, 2019
in
Others
by
Arjun
Veteran
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431k
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8
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isi2015mma
inequality
nongate
0
votes
0
answers
3
ISI2015MMA66
The smallest positive number $K$ for which the inequality $\mid \sin ^2 x – \sin ^2 y \mid \leq K \mid xy \mid$ holds for all $x$ and $y$ is $2$ $1$ $\frac{\pi}{2}$ there is no smallest positive value of $K$; any $K>0$ will make the inequality hold.
asked
Sep 23, 2019
in
Others
by
Arjun
Veteran
(
431k
points)

10
views
isi2015mma
inequality
trigonometry
nongate
+1
vote
2
answers
4
ISI2016DCG2
Let $S=\{6,10,7,13,5,12,8,11,9\},$ and $a=\sum_{x\in S}(x9)^{2}\:\&\: b=\sum_{x\in S}(x10)^{2}.$ Then $a<b$ $a>b$ $a=b$ None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

52
views
isi2016dcg
numericalability
summation
inequality
0
votes
1
answer
5
ISI2016DCG14
For natural numbers $n,$ the inequality $2^{n}>2n+1$ is valid when $n\geq 3$ $n<3$ $n=3$ None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

12
views
isi2016dcg
numericalability
inequality
+1
vote
1
answer
6
ISI2018DCG30
Let $0.01^x+0.25^x=0.7$ . Then $x\geq1$ $0\lt x\lt1$ $x\leq0$ no such real number $x$ is possible.
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

51
views
isi2018dcg
numericalability
numbersystem
inequality
0
votes
1
answer
7
ISI2017MMA7
Let $n \geq 3$ be an integer. Then the statement $(n!)^{1/n} \leq \dfrac{n+1}{2}$ is true for every $n \geq 3$ true if and only if $n \geq 5$ not true for $n \geq 10$ true for even integers $n \geq 6$, not true for odd $n \geq 5$
asked
Sep 15, 2018
in
Numerical Ability
by
jothee
Veteran
(
105k
points)

49
views
isi2017mmamma
numericalability
factorial
inequality
+1
vote
0
answers
8
ISI2016MMA21
Let $A=\{1, 2, 3, 4, 5, 6, 7, 8 \}$. How many functions $f: A \rightarrow A$ can be defined such that $f(1)< f(2) < f(3)$? $\begin{pmatrix} 8 \\ 3 \end{pmatrix}$ $\begin{pmatrix} 8 \\ 3 \end{pmatrix} 5^8$ $\begin{pmatrix} 8 \\ 3 \end{pmatrix} 8^5$ $\frac{8!}{3!}$
asked
Sep 13, 2018
in
Calculus
by
jothee
Veteran
(
105k
points)

22
views
isi2016mmamma
functions
inequality
permutationandcombination
+1
vote
1
answer
9
ISI 2004 MIII
The inequality $\frac{2gx+x^{2}}{1x+x^{2}}\leq 3$ is true for all the value of $x$ if and only if $1\leq g\leq 7$ $1\leq g\leq 1$ $6\leq g\leq 7$ $1\leq g\leq 7$
asked
Apr 4, 2017
in
Set Theory & Algebra
by
Tesla!
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(
18.4k
points)

139
views
isi2004
inequality
0
votes
2
answers
10
ISI 2017
I find alpha <x+y which gives me x+y<2. But the answer is A. Can someone please help. Consider the statement$:$ $x(\alphax)<y(\alphay)$ for all $x,y$ with $0<x<y<1.$ The statement is true if and only if $\alpha\geq 2$ if and only if $\alpha >2$ if and only if $\alpha <1$ for no values of $\alpha$
asked
Apr 1, 2017
in
Set Theory & Algebra
by
Abhijit Sen
(
189
points)

97
views
isi
inequality
+9
votes
4
answers
11
GATE19871xxi
If $a, b,$ and $c$ are constants, which of the following is a linear inequality? $ax+bcy=0$ $ax^{2}+cy^{2}=21$ $abx+a^{2}y \geq 15$ $xy+ax \geq 20$
asked
Nov 9, 2016
in
Linear Algebra
by
makhdoom ghaya
Boss
(
30.7k
points)

1k
views
gate1987
linearalgebra
inequality
nongate
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