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Recent questions tagged tifr2010
7
votes
2
answers
31
TIFR CSE 2010 | Part A | Question: 10
A drawer contains $2$ Blue, $4$ Red and $2$ Yellow balls. No two balls have the same radius. If two balls are randomly selected from the drawer, what is the probability that they will be of the same colour? $\left(\dfrac{2}{7}\right)$ $\left(\dfrac{2}{5}\right)$ $\left(\dfrac{3}{7}\right)$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{3}{5}\right)$
A drawer contains $2$ Blue, $4$ Red and $2$ Yellow balls. No two balls have the same radius. If two balls are randomly selected from the drawer, what is the probability t...
Arjun
2.1k
views
Arjun
asked
Oct 3, 2015
Probability
tifr2010
probability
conditional-probability
+
–
8
votes
1
answer
32
TIFR CSE 2010 | Part A | Question: 9
A table contains $287$ entries. When any one of the entries is requested, it is encoded into a binary string and transmitted. The number of bits required is. $8$ $9$ $10$ Cannot be determined from the given information. None of the above.
A table contains $287$ entries. When any one of the entries is requested, it is encoded into a binary string and transmitted. The number of bits required is.$8$$9$$10$Can...
makhdoom ghaya
1.4k
views
makhdoom ghaya
asked
Oct 3, 2015
Digital Logic
tifr2010
digital-logic
number-representation
+
–
25
votes
4
answers
33
TIFR CSE 2010 | Part A | Question: 8
Which of the following is NOT necessarily true? { Notation: The symbol ''$\neg$''notes negation; $P (x, y)$ means that for given $x$ and $y$, the property $P(x, y)$ is true }. $(∀x∀y P(x, y)) \Rightarrow (∀y∀x P(x, y))$ ... $(∃x∀y P(x, y)) \Rightarrow (∀y∃x P(x, y))$ $(∀x∃y P(x, y)) \Rightarrow (∃y∀x P(x, y))$
Which of the following is NOT necessarily true? { Notation: The symbol ''$\neg$''notes negation; $P (x, y)$ means that for given $x$ and $y$, the property $P(x, y)$ is tr...
makhdoom ghaya
3.3k
views
makhdoom ghaya
asked
Oct 2, 2015
Mathematical Logic
tifr2010
mathematical-logic
first-order-logic
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–
15
votes
6
answers
34
TIFR CSE 2010 | Part A | Question: 7
The limit of $\dfrac{10^{n}}{n!}$ as $n \to \infty$ is. $0$ $1$ $e$ $10$ $\infty$
The limit of $\dfrac{10^{n}}{n!}$ as $n \to \infty$ is.$0$$1$$e$$10$$\infty$
makhdoom ghaya
3.4k
views
makhdoom ghaya
asked
Oct 2, 2015
Calculus
tifr2010
calculus
limits
+
–
14
votes
2
answers
35
TIFR CSE 2010 | Part A | Question: 6
Given 10 tosses of a coin with probability of head = .$4$ = ($1$ - the probability of tail), the probability of at least one head is? $(.4)^{10}$ $1 - (.4)^{10}$ $1 - (.6)^{10}$ $(.6)^{10}$ $10(.4) (.6)^{9}$
Given 10 tosses of a coin with probability of head = .$4$ = ($1$ - the probability of tail), the probability of at least one head is?$(.4)^{10}$$1 - (.4)^{10}$$1 - (.6)^{...
makhdoom ghaya
2.0k
views
makhdoom ghaya
asked
Oct 2, 2015
Probability
tifr2010
probability
binomial-distribution
+
–
9
votes
2
answers
36
TIFR CSE 2010 | Part A | Question: 5
$A$ is symmetric positive definite matrix ( i.e., $x^{T} Ax > 0$ for all non zero $x$). Which of the following statements is false? At least one element is positive. All eigen values are positive real. Sum of the diagonal elements is positive. det (A) is positive. None of the above.
$A$ is symmetric positive definite matrix ( i.e., $x^{T} Ax 0$ for all non zero $x$). Which of the following statements is false?At least one element is positive.All eig...
makhdoom ghaya
1.9k
views
makhdoom ghaya
asked
Oct 2, 2015
Linear Algebra
tifr2010
linear-algebra
matrix
+
–
18
votes
4
answers
37
TIFR CSE 2010 | Part A | Question: 4
If the bank receipt is forged, then Mr. M is liable. If Mr. M is liable, he will go bankrupt. If the bank will loan him money, he will not go bankrupt. The bank will loan him money. Which of the following can be concluded from the above statements? Mr. M is liable The receipt is not forged Mr. M will go bankrupt The bank will go bankrupt None of the above
If the bank receipt is forged, then Mr. M is liable.If Mr. M is liable, he will go bankrupt.If the bank will loan him money, he will not go bankrupt.The bank will loan hi...
makhdoom ghaya
2.0k
views
makhdoom ghaya
asked
Oct 2, 2015
Mathematical Logic
tifr2010
mathematical-logic
propositional-logic
+
–
7
votes
3
answers
38
TIFR CSE 2010 | Part A | Question: 3
The function $f (x) = 2.5 \log_e \left( 2 + \exp \left( x^2 - 4x + 5 \right)\right)$ attains a minimum at $x = $? $0$ $1$ $2$ $3$ $4$
The function $f (x) = 2.5 \log_e \left( 2 + \exp \left( x^2 - 4x + 5 \right)\right)$ attains a minimum at $x = $?$0$$1$$2$$3$$4$
makhdoom ghaya
2.0k
views
makhdoom ghaya
asked
Oct 2, 2015
Calculus
tifr2010
calculus
maxima-minima
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–
15
votes
8
answers
39
TIFR CSE 2010 | Part A | Question: 2
The hour hand and the minute hands of a clock meet at noon and again at mid-night. In between they meet $N$ times, where $N$ is.: $6$ $11$ $12$ $13$ None of the above
The hour hand and the minute hands of a clock meet at noon and again at mid-night. In between they meet $N$ times, where $N$ is.:$6$$11$$12$$13$None of the above
makhdoom ghaya
2.4k
views
makhdoom ghaya
asked
Oct 2, 2015
Quantitative Aptitude
tifr2010
quantitative-aptitude
clock-time
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–
6
votes
5
answers
40
TIFR CSE 2010 | Part A | Question: 1
A box contains $731$ black balls and $2000$ white balls. The following process is to be repeated as long as possible. Arbitrarily select two balls from the box. If they are of the same color, throw them out and put a black ball into the ... box The process will stop with a single black ball in the box The process will stop with the box empty None of the above
A box contains $731$ black balls and $2000$ white balls. The following process is to be repeated as long as possible. Arbitrarily select two balls from the box. If they a...
makhdoom ghaya
1.9k
views
makhdoom ghaya
asked
Oct 2, 2015
Analytical Aptitude
tifr2010
analytical-aptitude
logical-reasoning
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