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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}$$\frac{2}{3} < t < 1$
1 answer
3
ISI2019-MMA-28
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by $f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$ Then the area enclosed between the graphs of $f^{-1}$ and $g^{-1}$ is $1/4$ $1/6$ $1/8$ $1/24$
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by$$f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$$Then the area enclosed between the graphs of...
1 answer
6
Self Doubt about ME Test Series
Are comparison charts of Made easy genuine? And say now if my rank is 3 in a test and after sometime if someone scores more than me will my rank get shifted to 4?
Are comparison charts of Made easy genuine?And say now if my rank is 3 in a test and after sometime if someone scores more than me will my rank get shifted to 4?
4 answers
7
IIIT PGEE 2019
Which of the following gives O(1) complexity if we want to check whether an edge exists between two given nodes in a graph? Adjacency List Adjacency Matrix Incidence Matrix None of these
Which of the following gives O(1) complexity if we want to check whether an edge exists between two given nodes in a graph?Adjacency ListAdjacency MatrixIncidence MatrixN...
3 answers
8
ISI2019-MMA-12
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then $f(n^3-1) = f(n-1)$ $f(n^3-1) = f(n-1) +1$ $f(n^3-1) = 2f(n-1)$ None of the above is necessarily true
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then$f(n^3-1) = f(n-1)$$f(n^3-1) =...
1 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$$18$
2 answers
10
ISI2019-MMA-13
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is $8$ $10$ $12$ $14$
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is$8$$10$$12$$1...
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$$4$
3 answers
15
ISI2019-MMA-11
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$? $0$ $1$ $2$ infinitely many
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$?$0$$1$$2$infinitely many
3 answers
18
ISI2019-MMA-22
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $2/5$, then the value of $p$ is $2/7$ $1/3$ $5/7$ $2/3$
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even ...
1 answer
19
ISI2019-MMA-5
If $f(a)=2, \: f’(a) = 1, \: g(a) =-1$ and $g’(a) =2$, then the value of $\lim _{x\rightarrow a}\frac{g(x) f(a) – f(x) g(a)}{x-a}$ is $-5$ $-3$ $3$ $5$
If $f(a)=2, \: f’(a) = 1, \: g(a) =-1$ and $g’(a) =2$, then the value of $$\lim _{x\rightarrow a}\frac{g(x) f(a) – f(x) g(a)}{x-...
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 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$$28$
1 answer
22
ISI2019-MMA-4
Suppose that $6$-digit numbers are formed using each of the digits $1, 2, 3, 7, 8, 9$ exactly once. The number of such $6$-digit numbers that are divisible by $6$ but not divisible by $9$ is equal to $120$ $180$ $240$ $360$
Suppose that $6$-digit numbers are formed using each of the digits $1, 2, 3, 7, 8, 9$ exactly once. The number of such $6$-digit numbers that are divisible by $6$ but not...
1 answer
23
ISI2019-MMA-3
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is: $189700$ $164850$ $164750$ $149700$
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is:$189700$$164850$$164750$$149700$
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 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?
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?
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?