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Recent activity by pratekag
1
answer
1
ISI2019-MMA-26
If $t = \begin{pmatrix} 200 \\ 100 \end{pmatrix}/4^{100} $, then $t < \frac{1}{3}$ $\frac{1}{3} < t < \frac{1}{2}$ $\frac{1}{2} < t < \frac{2}{3}$ $\frac{2}{3} < t < 1$
If $t = \begin{pmatrix} 200 \\ 100 \end{pmatrix}/4^{100} $, then$t < \frac{1}{3}$$\frac{1}{3} < t < \frac{1}{2}$$\frac{1}{2} < t < \frac{2}{3}$$\frac{2}{3} < t < 1$
1.6k
views
commented
Apr 30, 2022
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
2
answers
2
ISI2019-MMA-24
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that $\lim _{n\rightarrow \infty} f^n(x)$ exists for every $x \in \mathbb{R}$, where $f^n(x) = f \circ f^{n-1}(x)$ for $n \geq 2$ ... $S \subset T$ $T \subset S$ $S = T$ None of the above
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that $\lim _{n\rightarrow \infty} f^n(x)$ exists for every $x \in \mathbb{R}$, where $f^n(x) = f ...
1.6k
views
commented
Apr 30, 2022
Calculus
isi2019-mma
engineering-mathematics
calculus
limits
+
–
1
answer
3
ISI2019-MMA-28
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by $f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$ Then the area enclosed between the graphs of $f^{-1}$ and $g^{-1}$ is $1/4$ $1/6$ $1/8$ $1/24$
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by$$f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$$Then the area enclosed between the graphs of...
2.1k
views
commented
Apr 4, 2022
Calculus
isi2019-mma
calculus
engineering-mathematics
integration
+
–
1
answer
4
ISI2019-MMA-21
A function $f:\mathbb{R^2} \rightarrow \mathbb{R}$ is called degenerate on $x_i$, if $f(x_1,x_2)$ remains constant when $x_i$ varies $(i=1,2)$. Define $f(x_1,x_2) = \mid 2^{\pi _i/x_1} \mid ^{x_2} \text{ for } x_1 \neq 0$, where $i = \sqrt {-1}$. ... $x_1$ but not on $x_2$ $f$ is degenerate on $x_2$ but not on $x_1$ $f$ is neither degenerate on $x_1$ nor on $x_2$
A function $f:\mathbb{R^2} \rightarrow \mathbb{R}$ is called degenerate on $x_i$, if $f(x_1,x_2)$ remains constant when $x_i$ varies $(i=1,2)$. Define$$f(x_1,x_2) = \mid ...
1.4k
views
commented
Jul 9, 2021
Others
isi2019-mma
complex-number
+
–
1
answer
5
ISI2019-MMA-29
Let $\psi : \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function with $\psi(y) =0$ for all $y \notin [0,1]$ and $\int_{0}^{1} \psi(y) dy=1$. Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a twice differentiable function. Then the value of $\lim _{n\rightarrow \infty}n \int_{0}^{100} f(x)\psi(nx)dx$ is $f(0)$ $f’(0)$ $f’’(0)$ $f(100)$
Let $\psi : \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function with $\psi(y) =0$ for all $y \notin [0,1]$ and $\int_{0}^{1} \psi(y) dy=1$. Let $f:\mathbb{R} \rig...
2.0k
views
commented
Jul 9, 2021
Calculus
isi2019-mma
engineering-mathematics
calculus
integration
+
–
1
answer
6
Self Doubt about ME Test Series
Are comparison charts of Made easy genuine? And say now if my rank is 3 in a test and after sometime if someone scores more than me will my rank get shifted to 4?
Are comparison charts of Made easy genuine?And say now if my rank is 3 in a test and after sometime if someone scores more than me will my rank get shifted to 4?
633
views
answered
May 26, 2019
GATE
made-easy-test-series
self-doubt
general
+
–
4
answers
7
IIIT PGEE 2019
Which of the following gives O(1) complexity if we want to check whether an edge exists between two given nodes in a graph? Adjacency List Adjacency Matrix Incidence Matrix None of these
Which of the following gives O(1) complexity if we want to check whether an edge exists between two given nodes in a graph?Adjacency ListAdjacency MatrixIncidence MatrixN...
1.3k
views
commented
May 26, 2019
DS
iiith-pgee
graph-theory
time-complexity
+
–
3
answers
8
ISI2019-MMA-12
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then $f(n^3-1) = f(n-1)$ $f(n^3-1) = f(n-1) +1$ $f(n^3-1) = 2f(n-1)$ None of the above is necessarily true
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then$f(n^3-1) = f(n-1)$$f(n^3-1) =...
1.9k
views
commented
May 10, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
1
answer
9
ISI2019-MMA-1
The highest power of $7$ that divides $100!$ is : $14$ $15$ $16$ $18$
The highest power of $7$ that divides $100!$ is : $14$$15$$16$$18$
3.6k
views
commented
May 9, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
2
answers
10
ISI2019-MMA-13
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is $8$ $10$ $12$ $14$
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is$8$$10$$12$$1...
2.3k
views
answered
May 9, 2019
Linear Algebra
isi2019-mma
engineering-mathematics
linear-algebra
vector-space
non-gate
+
–
3
answers
11
ISI2019-MMA-20
Suppose that the number plate of a vehicle contains two vowels followed by four digits. However, to avoid confusion, the letter $‘O’$ and the digit $‘0’$ are not used in the same number plate. How many such number plates can be formed? $164025$ $190951$ $194976$ $219049$
Suppose that the number plate of a vehicle contains two vowels followed by four digits. However, to avoid confusion, the letter $‘O’$ and the digit $‘0’$ are not ...
2.5k
views
commented
May 9, 2019
Combinatory
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
+
–
1
answer
12
ISI2019-MMA-8
For $0 \leq x < 2 \pi$, the number of solutions of the equation $\sin^2x + 2 \cos^2x + 3\sin x \cos x = 0$ is $1$ $2$ $3$ $4$
For $0 \leq x < 2 \pi$, the number of solutions of the equation$$\sin^2x + 2 \cos^2x + 3\sin x \cos x = 0$$is$1$$2$$3$$4$
1.2k
views
answered
May 7, 2019
Others
isi2019-mma
non-gate
trignometry
+
–
1
answer
13
ISI2019-MMA-30
Consider the function $h$ defined on $\{0,1,…….10\}$ with $h(0)=0, \: h(10)=10 $ and $2[h(i)-h(i-1)] = h(i+1) – h(i) \: \text{ for } i = 1,2, \dots ,9.$ Then the value of $h(1)$ is $\frac{1}{2^9-1}\\$ $\frac{10}{2^9+1}\\$ $\frac{10}{2^{10}-1}\\$ $\frac{1}{2^{10}+1}$
Consider the function $h$ defined on $\{0,1,…….10\}$ with $h(0)=0, \: h(10)=10 $ and$$2[h(i)-h(i-1)] = h(i+1) – h(i) \: \text{ for } i = 1,2, \dots ,9.$$Then t...
1.8k
views
answered
May 7, 2019
Calculus
isi2019-mma
engineering-mathematics
discrete-mathematics
set-theory&algebra
functions
+
–
1
answer
14
ISI2019-MMA-23
Let $A$ be $2 \times 2$ matrix with real entries. Now consider the function $f_A(x)$ = $Ax$ . If the image of every circle under $f_A$ is a circle of the same radius, then A must be an orthogonal matrix A must be a symmetric matrix A must be a skew-symmetric matrix None of the above must necessarily hold
Let $A$ be $2 \times 2$ matrix with real entries. Now consider the function $f_A(x)$ = $Ax$ . If the image of every circle under $f_A$ is a circle of the same radius, the...
1.7k
views
answered
May 7, 2019
Linear Algebra
isi2019-mma
engineering-mathematics
linear-algebra
matrix
+
–
3
answers
15
ISI2019-MMA-11
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$? $0$ $1$ $2$ infinitely many
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$?$0$$1$$2$infinitely many
1.7k
views
answered
May 7, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
1
answer
16
ISI2019-MMA-25
Let $a,b,c$ be non-zero real numbers such that $\int_{0}^{1} (1 + \cos^8x)(ax^2 + bx +c)dx = \int_{0}^{2}(1+ \cos^8x)(ax^2 + bx + c) dx =0$ Then the quadratic equation $ax^2 + bx +c=0$ has no roots in $(0,2)$ one root in $(0,2)$ and one root outside this interval one repeated root in $(0,2)$ two distinct real roots in $(0,2)$
Let $a,b,c$ be non-zero real numbers such that $\int_{0}^{1} (1 + \cos^8x)(ax^2 + bx +c)dx = \int_{0}^{2}(1+ \cos^8x)(ax^2 + bx + c) dx =0$Then the quadratic equation $ax...
1.2k
views
answered
May 7, 2019
Calculus
isi2019-mma
engineering-mathematics
calculus
integration
+
–
3
answers
17
ISI2019-MMA-27
A general election is to be scheduled on $5$ days in May such that it is not scheduled on two consecutive days. In how many ways can the $5$ days be chosen to hold the election? $\begin{pmatrix} 26 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 27 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 30 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 31 \\ 5 \end{pmatrix}$
A general election is to be scheduled on $5$ days in May such that it is not scheduled on two consecutive days. In how many ways can the $5$ days be chosen to hold the el...
5.0k
views
commented
May 7, 2019
Combinatory
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
+
–
3
answers
18
ISI2019-MMA-22
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $2/5$, then the value of $p$ is $2/7$ $1/3$ $5/7$ $2/3$
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even ...
895
views
answered
May 7, 2019
Probability
isi2019-mma
probability
+
–
1
answer
19
ISI2019-MMA-5
If $f(a)=2, \: f’(a) = 1, \: g(a) =-1$ and $g’(a) =2$, then the value of $\lim _{x\rightarrow a}\frac{g(x) f(a) – f(x) g(a)}{x-a}$ is $-5$ $-3$ $3$ $5$
If $f(a)=2, \: f’(a) = 1, \: g(a) =-1$ and $g’(a) =2$, then the value of $$\lim _{x\rightarrow a}\frac{g(x) f(a) – f(x) g(a)}{x-...
777
views
answer edited
May 7, 2019
Calculus
isi2019-mma
calculus
limits
+
–
2
answers
20
MadeEasy Test Series: Programming & DS - Stack
My doubt : What should we consider ^ operator as Bitwise XOR ? or Exponentiation
My doubt : What should we consider ^ operator as Bitwise XOR ? or Exponentiation
1.3k
views
answered
May 6, 2019
DS
made-easy-test-series
data-structures
stack
infix-prefix
+
–
1
answer
21
ISI2019-MMA-2
The number of $6$ digit positive integers whose sum of the digits is at least $52$ is $21$ $22$ $27$ $28$
The number of $6$ digit positive integers whose sum of the digits is at least $52$ is$21$$22$$27$$28$
3.4k
views
answered
May 6, 2019
Combinatory
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
+
–
1
answer
22
ISI2019-MMA-4
Suppose that $6$-digit numbers are formed using each of the digits $1, 2, 3, 7, 8, 9$ exactly once. The number of such $6$-digit numbers that are divisible by $6$ but not divisible by $9$ is equal to $120$ $180$ $240$ $360$
Suppose that $6$-digit numbers are formed using each of the digits $1, 2, 3, 7, 8, 9$ exactly once. The number of such $6$-digit numbers that are divisible by $6$ but not...
2.0k
views
answered
May 6, 2019
Combinatory
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
+
–
1
answer
23
ISI2019-MMA-3
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is: $189700$ $164850$ $164750$ $149700$
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is:$189700$$164850$$164750$$149700$
955
views
answered
May 6, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
0
answers
24
IITBombay
Why some people who applied for TA and RA both and very good scores above 850-900 have not got any calls for RA
Why some people who applied for TA and RA both and very good scores above 850-900 have not got any calls for RA
1.4k
views
asked
May 5, 2019
Written Exam
iitb-ra
+
–
2
answers
25
Admission Query GATE 2019
For ~77 marks (GO Estimated AIR 53-55, Score ~882) in GATE 2019, is there a chance of getting direct admission into IISc or IIT Bombay/Delhi? The rank has been dropping steadily in the last few days. I'm very confused as I would like to ... admissions seem improbable. GO has taken me this far but I'll need a little more help :D Any insights would be really appreciated!
For ~77 marks (GO Estimated AIR 53-55, Score ~882) in GATE 2019, is there a chance of getting direct admission into IISc or IIT Bombay/Delhi? The rank has been dropping s...
1.9k
views
answered
Apr 27, 2019
IISc/IITs
admissions
gate2019-admissions
iisc
iit-bombay
iit
getting-to-iits
+
–
1
answer
26
IIT Bombay MTech Admission form
What to fill in qualifying degree and duration of course if one is a Dual (BTech+ MTech) student and wants to pursue postgraduate from IIT again?
What to fill in qualifying degree and duration of course if one is a Dual (BTech+ MTech) student and wants to pursue postgraduate from IIT again?
754
views
answered
Apr 27, 2019
IISc/IITs
iit-bombay
mtech
+
–
1
answer
27
GATE OFFICIAL ANSWER KEY
Will gate rank predictor be revised according to the official and final answer key?
Will gate rank predictor be revised according to the official and final answer key?
1.6k
views
commented
Mar 14, 2019
GATE
usergate2019
usermod
gateoverflowrankpredictor
+
–
9
answers
28
GATE CSE 2019 | Question: 46
Let $T$ be a full binary tree with $8$ leaves. (A full binary tree has every level full.) Suppose two leaves $a$ and $b$ of $T$ are chosen uniformly and independently at random. The expected value of the distance between $a$ and $b$ in $T$ (ie., the number of edges in the unique path between $a$ and $b$) is (rounded off to $2$ decimal places) _________.
Let $T$ be a full binary tree with $8$ leaves. (A full binary tree has every level full.) Suppose two leaves $a$ and $b$ of $T$ are chosen uniformly and independently at ...
30.7k
views
answer edited
Feb 19, 2019
DS
gatecse-2019
numerical-answers
data-structures
binary-tree
2-marks
+
–
2
answers
29
Gate 2019
When will the official key be released?Are there any wrong answers given in GO rank predictor?
When will the official key be released?Are there any wrong answers given in GO rank predictor?
1.5k
views
commented
Feb 13, 2019
8
answers
30
GATE CSE 2019 | Question: 26
Consider the following C function. void convert (int n ) { if (n<0) printf{ %d , n); else { convert(n/2); printf( %d , n%2); } } Which one of the following will happen when the function convert is called with any positive ... order and terminate It will print the binary representation of $n$ but will not terminate It will not print anything and will not terminate
Consider the following C function.void convert (int n ) { if (n<0) printf{“%d”, n); else { convert(n/2); printf(“%d”, n%2); } }Which one of the following will hap...
16.6k
views
answered
Feb 11, 2019
Algorithms
gatecse-2019
algorithms
identify-function
2-marks
+
–
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