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Recent questions tagged isi2018mma
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ISI2018MMA25
The solution of the differential equation $(1 + x^2y^2)ydx + (x^2y^2 − 1)xdy = 0$ is $xy = \log\ x − \log\ y + C$ $xy = \log\ y − \log\ x + C$ $x^2y^2 = 2(\log\ x − \log\ y) + C$ $x^2y^2 = 2(\log\ y − \log\ x) + C$
asked
May 11, 2019
in
Others
by
akash.dinkar12
Boss
(
42.7k
points)

39
views
isi2018mma
nongate
differentialequation
0
votes
1
answer
2
ISI2018MMA28
Consider the following functions $f(x)=\begin{cases} 1, & \text{if } \mid x \mid \leq 1 \\ 0, & \text{if } \mid x \mid >1 \end{cases}.$ ... at $\pm1$ $h_2$ is continuous everywhere and $h_1$ has discontinuity at $\pm2$ $h_1$ has discontinuity at $\pm 2$ and $h_2$ has discontinuity at $\pm1$.
asked
May 11, 2019
in
Calculus
by
akash.dinkar12
Boss
(
42.7k
points)

89
views
isi2018mma
engineeringmathematics
calculus
continuity
+2
votes
1
answer
3
ISI2018MMA24
The sum of the infinite series $1+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\frac{14}{3^4}+\dots $ is $2$ $3$ $4$ $6$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
Boss
(
42.7k
points)

77
views
isi2018mma
generalaptitude
numericalability
0
votes
0
answers
4
ISI2018MMA23
For $n\geq 1$, let $a_n=\frac{1}{2^2} + \frac{2}{3^2}+ \dots +\frac{n}{(n+1)^2}$ and $b_n=c_0 + c_1r + c_2r^2 + \dots + c_nr^n$,where $\mid c_k \mid \leq M$ for all integer $k$ and $\mid r \mid <1$. Then both $\{a_n\}$ ... $\{a_n\}$ is not a Cauchy sequence,and $\{b_n\}$ is Cauchy sequence neither $\{a_n\}$ nor $\{b_n\}$ is a Cauchy sequence.
asked
May 11, 2019
in
Others
by
akash.dinkar12
Boss
(
42.7k
points)

27
views
isi2018mma
sequenceseries
nongate
0
votes
0
answers
5
ISI2018MMA22
The $x$axis divides the circle $x^2 + y^2 − 6x − 4y + 5 = 0$ into two parts. The area of the smaller part is $2\pi1$ $2(\pi1)$ $2\pi3$ $2(\pi2)$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
Boss
(
42.7k
points)

28
views
isi2018mma
generalaptitude
numericalability
0
votes
1
answer
6
ISI2018MMA15
Let $G$ be a finite group of even order. Then which of the following statements is correct? The number of elements of order $2$ in $G$ is even The number of elements of order $2$ in $G$ is odd $G$ has no subgroup of order $2$ None of the above.
asked
May 11, 2019
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
42.7k
points)

110
views
isi2018mma
engineeringmathematics
discretemathematics
settheory&algebra
grouptheory
0
votes
0
answers
7
ISI2018MMA8
Let $a$ and $b$ be two positive integers such that $a = k_1b + r_1$ and $b = k_2r_1 + r_2,$ where $k_1,k_2,r_1,r_2$ are positive integers with $r_2 < r_1 < b$ Then $\text{gcd}(a, b)$ is same as $\text{gcd}(r_1,r_2)$ $\text{gcd}(k_1,k_2)$ $\text{gcd}(k_1,r_2)$ $\text{gcd}(r_1,k_2)$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
Boss
(
42.7k
points)

39
views
isi2018mma
generalaptitude
numericalability
0
votes
1
answer
8
ISI2018MMA6
The volume of the region $S=\{(x,y,z) : \mid x \mid +\mid y \mid + \mid z \mid \leq 1\}$ is $\frac{1}{6}\\$ $\frac{1}{3}\\$ $\frac{2}{3}\\$ $\frac{4}{3}$
asked
May 14, 2018
in
Numerical Ability
by
Tesla!
Boss
(
18.5k
points)

255
views
isi2018mma
generalaptitude
numericalability
+5
votes
3
answers
9
ISI2018MMA4
The number of common terms in the two sequences $\{ 3,7,11, \ldots , 407\}$ and $\{2,9,16,\ldots ,709\}$ is $13$ $14$ $15$ $16$
asked
May 13, 2018
in
Numerical Ability
by
jjayantamahata
Active
(
1.5k
points)

399
views
isi2018mma
generalaptitude
numericalability
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next level blog ..thanks
CIL question is far better. (ambiguity...
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