Recent questions tagged tifr2012 / GATE Overflow for GATE CSE

24 votes

2 answers

31

TIFR CSE 2012 | Part A | Question: 10
In how many different ways can $r$ elements be picked from a set of $n$ elements if Repetition is not allowed and the order of picking matters? Repetition is allowed and the order of picking does not matter? $\frac{n!}{\left(n - r\right)!}$ ... $\frac{n!}{\left(n - r\right)!}$, respectively. $\frac{n!}{r!}$ and $\frac{r!}{n!}$, respectively.

In how many different ways can $r$ elements be picked from a set of $n$ elements if Repetition is not allowed and the order of picking matters? Repetition is allowed and ...

makhdoom ghaya

2.5k views

makhdoom ghaya asked Oct 30, 2015

13 votes

2 answers

32

TIFR CSE 2012 | Part A | Question: 9
The probability of throwing six perfect dices and getting six different faces is $1 -\dfrac{ 6!} { 6^{6}}$ $\dfrac{6! }{ 6^{6}}$ $6^{-6}$ $1 - 6^{-6}$ None of the above

The probability of throwing six perfect dices and getting six different faces is$1 -\dfrac{ 6!} { 6^{6}}$$\dfrac{6! }{ 6^{6}}$$6^{-6}$$1 - 6^{-6}$None of the above

makhdoom ghaya

1.7k views

makhdoom ghaya asked Oct 26, 2015

40 votes

2 answers

33

TIFR CSE 2012 | Part A | Question: 8
How many pairs of sets $(A, B)$ are there that satisfy the condition $A, B \subseteq \left\{1, 2,...,5\right\}, A \cap B = \{\}?$ $125$ $127$ $130$ $243$ $257$

How many pairs of sets $(A, B)$ are there that satisfy the condition $A, B \subseteq \left\{1, 2,...,5\right\}, A \cap B = \{\}?$$125$$127$$130$$243$$257$

makhdoom ghaya

3.2k views

makhdoom ghaya asked Oct 26, 2015

24 votes

6 answers

34

TIFR CSE 2012 | Part A | Question: 7
It is required to divide the $2n$ members of a club into $n$ disjoint teams of $2$ members each. The teams are not labelled. The number of ways in which this can be done is: $\frac{\left ( 2n \right )!}{2^{n}}$ $\frac{\left ( 2n \right )!}{n!}$ $\frac{\left ( 2n \right )!}{2^n . n!}$ $\frac{n!}{2}$ None of the above

It is required to divide the $2n$ members of a club into $n$ disjoint teams of $2$ members each. The teams are not labelled. The number of ways in which this can be done ...

makhdoom ghaya

4.7k views

makhdoom ghaya asked Oct 26, 2015

9 votes

2 answers

35

TIFR CSE 2012 | Part A | Question: 6
A certain pair of used shoes can be repaired for $Rs.1250$ and will last for $1$ year. A pair of the same kind of shoes can be purchased new for $Rs.2800$ and will last for $2$ years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes? $5%$ $12%$ $15%$ $3%$ $24%$

A certain pair of used shoes can be repaired for $Rs.1250$ and will last for $1$ year. A pair of the same kind of shoes can be purchased new for $Rs.2800$ and will last f...

makhdoom ghaya

985 views

makhdoom ghaya asked Oct 26, 2015

5 votes

2 answers

36

TIFR CSE 2012 | Part A | Question: 5
What is the maximum number of points of intersection between the diagonals of a convex octagon (8-vertex planar polygon)? Note that a polygon is said to be convex if the line segment joining any two points in its interior lies wholly in the ... between diagonals that lie in the interior of the octagon are to be considered for this problem. 55 60 65 70 75

What is the maximum number of points of intersection between the diagonals of a convex octagon (8-vertex planar polygon)? Note that a polygon is said to be convex if the ...

makhdoom ghaya

1.2k views

makhdoom ghaya asked Oct 26, 2015

3 votes

1 answer

37

TIFR CSE 2012 | Part A | Question: 4
Let $\text{ABC}$ be a triangle with $\text{n} $ distinct points inside. A triangulation of $\text{ABC}$ with respect to the $\text{n}$ points is obtained by connecting as many points as possible, such that no more line segments can be added without intersecting other line segments. In ... with $n$ points inside it? $3n - 1$ $n^{2} + 1$ $n + 3$ $2n + 1$ $4n - 3$

Let $\text{ABC}$ be a triangle with $\text{n} $ distinct points inside. A triangulation of $\text{ABC}$ with respect to the $\text{n}$ points is obtained by connecting as...

makhdoom ghaya

917 views

makhdoom ghaya asked Oct 26, 2015

26 votes

3 answers

38

TIFR CSE 2012 | Part A | Question: 3
Long ago,in a planet far far away, there lived three races of intelligent inhabitants: the blues (who always tell the truth), the whites (who always lie), and the pinks (who, when asked a series of questions, start with a lie and then tell the truth and lie ... Blue, $C$ is Pink. $A$ is White, $B$ is Pink, $C$ is Blue. Cannot be determined from the above data.

Long ago,in a planet far far away, there lived three races of intelligent inhabitants: the blues (who always tell the truth), the whites (who always lie), and the pinks (...

makhdoom ghaya

2.3k views

makhdoom ghaya asked Oct 26, 2015

33 votes

5 answers

39

TIFR CSE 2012 | Part A | Question: 2
If $Mr.M$ is guilty, then no witness is lying unless he is afraid. There is a witness who is afraid. Which of the following statements is true? (Hint: Formulate the problem using the following predicates $G - Mr.M$ is guilty $W(x) - x$ ... guilty. From these facts one cannot conclude that $Mr.M$ is guilty. There is a witness who is lying. No witness is lying.

If $Mr.M$ is guilty, then no witness is lying unless he is afraid. There is a witness who is afraid. Which of the following statements is true?(Hint: Formulate the proble...

makhdoom ghaya

4.4k views

makhdoom ghaya asked Oct 25, 2015

20 votes

11 answers

40

TIFR CSE 2012 | Part A | Question: 1
Amar and Akbar both tell the truth with probability $\dfrac{3 } {4}$ and lie with probability $\dfrac{1}{4}$. Amar watches a test match and talks to Akbar about the outcome. Akbar, in turn, tells Anthony, "Amar told me that India won". What ... $\left(\dfrac{7}{16}\right)$ $\left(\dfrac{10}{16}\right)$ None of the above

Amar and Akbar both tell the truth with probability $\dfrac{3 } {4}$ and lie with probability $\dfrac{1}{4}$. Amar watches a test match and talks to Akbar about the outco...

makhdoom ghaya

9.4k views

makhdoom ghaya asked Oct 25, 2015

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true