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Answers by Anand Vijayan
0
votes
1
ISI 2004 MIII
A subset $S$ of set of numbers $\{2,3,4,5,6,7,8,9,10\}$ is said to be good if has exactly $4$ elements and their $gcd=1$, Then number of good subset is $126$ $125$ $123$ $121$
A subset $S$ of set of numbers $\{2,3,4,5,6,7,8,9,10\}$ is said to be good if has exactly $4$ elements and their $gcd=1$, Then number of good subset is$126$$125$$123$$121...
2.8k
views
answered
Jul 2, 2017
Combinatory
combinatory
isi2004
discrete-mathematics
normal
+
–
1
votes
2
ISI 2017
I find alpha <x+y which gives me x+y<2. But the answer is A. Can someone please help. Consider the statement$:$ $x(\alpha-x)<y(\alpha-y)$ for all $x,y$ with $0<x<y<1.$ The statement is true if and only if $\alpha\geq 2$ if and only if $\alpha >2$ if and only if $\alpha <-1$ for no values of $\alpha$
I find alpha <x+y which gives me x+y<2. But the answer is A. Can someone please help. Consider the statement$:$$x(\alpha-x)<y(\alpha-y)$ for all $x,y$ with $0<x<y<1.$The ...
431
views
answered
Apr 1, 2017
Set Theory & Algebra
isi
inequality
+
–
4
votes
3
GATE2011 AG: GA-10
The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight with ... that horses were given immunity to diseases generally quite immune to diseases given medicines to fight toxins given diphtheria and tetanus serums
The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. ...
2.6k
views
answered
Mar 7, 2017
Verbal Aptitude
general-aptitude
verbal-aptitude
gate2011-ag
passage-reading
+
–
5
votes
4
GATE2013 AE: GA-2
The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the above sentence? is wanting wants want was wanting
The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the above sentence? is wanting wants want was wanting
4.3k
views
answered
Mar 4, 2017
Verbal Aptitude
gate2013-ae
verbal-aptitude
english-grammar
tenses
+
–
0
votes
5
Master's theorem
We know that Master's theorem is applicable if for the reccurence relation T(n)=aT(n/b) +Θ(n^k log^p n) ,the conditions: a>=1, b>1, k>=0 and p= any real number are satisfied. My doubt is that if k= not a constant( eg: n^n), then can we apply the theorem since we know n will always be positive so k will be positive only?
We know that Master's theorem is applicable if for the reccurence relation T(n)=aT(n/b) +Θ(n^k log^p n) ,the conditions: a>=1, b>1, k>=0 and p= any real number are sati...
499
views
answered
Mar 4, 2017
Algorithms
master-theorem
algorithms
+
–
5
votes
6
ISI 2015 PCB A2
Find all real solutions of the equation $x^{2} - |x-1| - 3 = 0$
Find all real solutions of the equation $x^{2} - |x-1| - 3 = 0$
538
views
answered
Mar 4, 2017
Others
engineering-mathematics
quadratic-equations
isi2015
+
–
0
votes
7
GATE2014 AE: GA-6
Find the odd one in the following group: $\text{ALRVX, EPVZB, ITZDF,OYEIK}$ $\text{ALRVX}$ $\text{EPVZB}$ $\text{ITZDF}$ $\text{OYEIK}$
Find the odd one in the following group: $\text{ALRVX, EPVZB, ITZDF,OYEIK}$$\text{ALRVX}$$\text{EPVZB}$$\text{ITZDF}$$\text{OYEIK}$
3.1k
views
answered
Mar 3, 2017
Analytical Aptitude
gate2014-ae
odd-one
analytical-aptitude
+
–
0
votes
8
minimum value
If $a, b, c, d$ and $e$ are positive real numbers, then the minimum value of $(a+b+c+d+e)(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}+\frac{1}{e})$ is $25$ $5$ $125$ Cannot be determined.
If $a, b, c, d$ and $e$ are positive real numbers, then the minimum value of $(a+b+c+d+e)(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}+\frac{1}{e})$ is$25$$5$$125$Cann...
708
views
answered
Mar 1, 2017
0
votes
9
Discrete Math
Prove or disprove the following: for finite sets A and B, $\overline{(A - B) \cup (B - A)} = A \cap B$ . If the proposition is incorrect, do minimal modifications to the same and prove.
Prove or disprove the following: for finite sets A and B, $\overline{(A - B) \cup (B - A)} = A \cap B$ . If the proposition is incorrect, do minimal modifications to the ...
476
views
answered
Feb 23, 2017
Set Theory & Algebra
discrete-mathematics
iitg-math
non-gate
descriptive
+
–
15
votes
10
TIFR CSE 2016 | Part B | Question: 4
In the following, $A$ stands for a set of apples, and $S(x, y)$ stands for "$x$ is sweeter than $y$. Let $\Psi \equiv \exists x : x \in A$ $\Phi \equiv \forall x \in A : \exists y \in A : S(x, y).$ Which of the following statements implies that there are ...
In the following, $A$ stands for a set of apples, and $S(x, y)$ stands for "$x$ is sweeter than $y$. Let$$\Psi \equiv \exists x : x \in A$$$$\Phi \equiv \forall x \in A :...
3.3k
views
answered
Dec 29, 2016
Mathematical Logic
tifr2016
mathematical-logic
first-order-logic
+
–
1
votes
11
testbook test series
What is the variance of random variable X whose value when two fair dice are rolled is X((i,j)) = i + j , where i and j are the numbers appearing on the first and second die respectively ? a) 35/6 b) 49/4 c) 91/6 d) 35/12
What is the variance of random variable X whose value when two fair dice are rolled is X((i,j)) = i + j , where i and j are the numbers appearing on the first and second ...
895
views
answered
Dec 24, 2016
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