Recent questions tagged inequality

+2 votes

2 answers

1

ISI2015-MMA-50
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 Veteran (431k points) | 30 views

0 votes

0 answers

2

ISI2015-MMA-65
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 (431k points) | 8 views

0 votes

0 answers

3

ISI2015-MMA-66
The smallest positive number $K$ for which the inequality $\mid \sin ^2 x – \sin ^2 y \mid \leq K \mid x-y \mid$ 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

+1 vote

2 answers

4

ISI2016-DCG-2
Let $S=\{6,10,7,13,5,12,8,11,9\},$ and $a=\sum_{x\in S}(x-9)^{2}\:\&\: b=\sum_{x\in S}(x-10)^{2}.$ 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

0 votes

1 answer

5

ISI2016-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

asked Sep 18, 2019 in Numerical Ability by gatecse Boss (17.5k points) | 12 views

+1 vote

1 answer

6

ISI2018-DCG-30
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

0 votes

1 answer

7

ISI2017-MMA-7
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

+1 vote

0 answers

8

ISI2016-MMA-21
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

+1 vote

1 answer

9

ISI 2004 MIII
The inequality $\frac{2-gx+x^{2}}{1-x+x^{2}}\leq 3$ 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! Boss (18.4k points) | 139 views

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$:$ $x(\alpha-x)<y(\alpha-y)$ 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

+9 votes

4 answers

11

GATE1987-1-xxi
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

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