Recent questions and answers in Engineering Mathematics

0 votes

2 answers

1

UGCNET-dec2009-ii-02
Circle has ____________ (A) No vertices (B) Only 1 vertex (C) ∞ vertices (D) None of these

answered 11 seconds ago in Graph Theory by rishu_darkshadow Active (2k points) | 21 views

+1 vote

0 answers

2

UGC NET jUNE 2006 -QN 5
Let A = {x | -1<x<1} = B. The function f(x)=x/2 from A to B is: (A) injective (B) surjective (C) both injective and surjective (D) neither injective nor surjective How it can be both injective and surjective ??

asked 6 hours ago in Mathematical Logic by Aparna Deepak (39 points) | 12 views

0 votes

0 answers

3

graph theory
"A planar graph need not to be connected" Can someone plz explain with an example .

asked 16 hours ago in Set Theory & Algebra by Pawan Kumar 2 Junior (557 points) | 16 views

+1 vote

0 answers

4

Sheldon Ross chapter#3 Qno-45
A set of k coupons, each of which is independently a type j coupon with probability pj , from i=1 to n ∑ pj = 1, is collected. Find the probability that the set contains either a type i or a type j coupon.

asked 16 hours ago in Probability by Warrior Boss (5.4k points) | 7 views

+1 vote

2 answers

5

Differential calculus
If f(x) = |x-1| + |x-2| is not derivable at x = (a) x = 0 (b) x = 1,2 (c) x = 3 (d) none

answered 17 hours ago in Calculus by pawan kumarln Boss (8.8k points) | 17 views

+1 vote

1 answer

6

permutation and combination
A roller coaster has five cars, each containing four seats, two in front and two in back. There are 20 people ready for a ride. In how many ways can the ride begin? What if a certa:in two people want to sit in different cars?

answered 19 hours ago in Mathematical Logic by Habibkhan Veteran (76.8k points) | 14 views

+1 vote

1 answer

7

permutation and combination
A footrace takes place among four runners. If ties are allowed (even all four runners finishing at the same time), how many ways are there for the race to finish?

answered 20 hours ago in Mathematical Logic by Habibkhan Veteran (76.8k points) | 12 views

0 votes

1 answer

8

permutation and combination
How many sets of three integers between 1 and 20 are possible if no two consecutive integers are to be in a set?

answered 22 hours ago in Mathematical Logic by A_i_$_h Loyal (4.6k points) | 23 views

+10 votes

3 answers

9

GATE1996_1.3
Suppose X and Y are sets and $|X| \text{ and } |Y|$ are their respective cardinalities. It is given that there are exactly 97 functions from X to Y. From this one can conclude that $|X| =1, |Y| =97$ $|X| =97, |Y| =1$ $|X| =97, |Y| =97$ None of the above

answered 23 hours ago in Set Theory & Algebra by Vicky rix Loyal (3.7k points) | 591 views

+4 votes

3 answers

10

TIFR2013-B-16
Consider a function $T_{k, n}: \left\{0, 1\right\}^{n}\rightarrow \left\{0, 1\right\}$ which returns $1$ if at least $k$ of its $n$ inputs are $1$. Formally, $T_{k, n}(x)=1$ if $\sum ^{n}_{1} x_{i}\geq k$. Let $y \in \left\{0, 1\right\}^{n} ... (where $y_{i}$ is omitted) is equivalent to $T_{k-1}, n(y)$ $T_{k, n}(y)$ $y_{i}$ $\neg y_{i}$ None of the above.

answered 1 day ago in Set Theory & Algebra by Vicky rix Loyal (3.7k points) | 147 views

0 votes

1 answer

11

Self doubt - Power Set
Can you conclude A = B if A and B are 2 sets with the same power set ? Doubt : Is power set of a set unique ?

answered 1 day ago in Set Theory & Algebra by Rupendra Choudhary Loyal (2.6k points) | 28 views

+9 votes

5 answers

12

GATE2009-2
What is the chromatic number of an $n$ vertex simple connected graph which does not contain any odd length cycle? Assume $n > 2$. 2 3 n-1 n

answered 1 day ago in Graph Theory by Chhotu Active (2.2k points) | 1k views

+3 votes

2 answers

13

TIFR2017-A-10
For a set $A$ define $\mathcal{P}(A)$ to be the set of all subsets of $A$. For example, if $A = \{1, 2\}$ then $\mathcal{P} (A) = \{ \emptyset, \{1, 2\}, \{1\}, \{ 2 \} \}$. Let $A \rightarrow \mathcal{ ... be onto (surjective) $f$ is both one-to-one and onto (bijective) there is no such $f$ possible if such a function $f$ exists, then $A$ is infinite

answered 1 day ago in Set Theory & Algebra by Vicky rix Loyal (3.7k points) | 154 views

0 votes

1 answer

14

Sheldon ross chapter#3 Qno -30
Two balls, each equally likely to be colored either red or blue, are put in an urn. At each stage one of the balls is randomly chosen, its color is noted, and it is then returned to the urn. If the first two balls chosen are ... what is the probability that (a) both balls in the urn are colored red; (b) the next ball chosen will be red?

answered 1 day ago in Probability by Rupendra Choudhary Loyal (2.6k points) | 31 views

+1 vote

2 answers

15

Discrete Maths Graph theory
What are the necessary and sufficient conditions for Euler path and Circuit in directed graph?

answered 1 day ago in Mathematical Logic by adactive18 (269 points) | 79 views

0 votes

1 answer

16

Problem in sets
more than 1 can be true or false

answered 2 days ago in Set Theory & Algebra by A_i_$_h Loyal (4.6k points) | 31 views

+1 vote

0 answers

17

Maths: functions: is given function bijective?

asked 2 days ago in Set Theory & Algebra by manu00x Veteran (11.1k points) | 43 views

0 votes

0 answers

18

anyone explain this limit question self made :P

asked 2 days ago in Calculus by sumit goyal 1 Loyal (2.5k points) | 50 views

0 votes

1 answer

19

Function Composition
For gof to be one-to-one, f must be one-to-one but reverse is not true. Is the above statement correct? According to me both f and g must be one-to-one for gof to be one-to-one. I took below examples: (i) f is one-to-one and g ... f(1)) and g(f(2)) both gives α which implies that gof is one-to-one. Are above examples correct? If yes, please explain.

answered 2 days ago in Set Theory & Algebra by pawan kumarln Boss (8.8k points) | 11 views

+19 votes

5 answers

20

GATE2014-2-50
Consider the following relation on subsets of the set $S$ of integers between 1 and 2014. For two distinct subsets $U$ and $V$ of $S$ we say $U\:<\:V$ if the minimum element in the symmetric difference of the two sets is in $U$. Consider ... and $S2$ are true $S1$ is true and $S2$ is false $S2$ is true and $S1$ is false Neither $S1$ nor $S2$ is true

answered 2 days ago in Set Theory & Algebra by Vicky rix Loyal (3.7k points) | 1.3k views

+6 votes

3 answers

21

GATE1994_1.15
The number of substrings (of all lengths inclusive) that can be formed from a character string of length $n$ is $n$ $n^2$ $\frac{n(n-1)}{2}$ $\frac{n(n+1)}{2}$

answered 2 days ago in Combinatory by Chhotu Active (2.2k points) | 762 views

+12 votes

4 answers

22

GATE2015-1_1‏6
For a set $A$, the power set of $A$ is denoted by $2^{A}$. If $A = \left\{5,\left\{6\right\}, \left\{7\right\}\right\}$, which of the following options are TRUE? $\phi ∈ 2^{A}$ $\phi &sube; 2^{A}$ $\left\{5,\left\{6\right\} ... \{5,\left\{6\right\}\right\} &sube; 2^{A}$ I and III only II and III only I, II and III only I, II and IV only

answered 3 days ago in Set Theory & Algebra by Vicky rix Loyal (3.7k points) | 1.7k views

0 votes

0 answers

23

Mathematics Gate 2008

asked 3 days ago in Mathematical Logic by air1ankit Junior (841 points) | 12 views

0 votes

0 answers

24

sheldon M ross 4 ed - chapter-3 qno- 25

asked 3 days ago in Probability by Warrior Boss (5.4k points) | 14 views

0 votes

0 answers

25

GATE-CS-2014-(Set-1)
Which one of the following propositional logic formulas is TRUE when exactly two of p, q, and r are TRUE? Can anyone please share solution for this without using truth tables?

asked 3 days ago in Mathematical Logic by preps (17 points) | 20 views

0 votes

0 answers

26

Propositional and First Order Logic GATE-CS-2006

asked 3 days ago in Mathematical Logic by preps (17 points) | 46 views

0 votes

0 answers

27

PERMUTATIONS

asked 3 days ago in Combinatory by Parshu gate (381 points) | 27 views

+2 votes

1 answer

28

MA 2014
The time to failure, in months, of light bulbs manufactured at two plants A and B obey the exponential distribution with means 6 and 2 months respectively. Plant B produces four times as many bulbs as plant A does. Bulbs from these plants are ... working after 12 months, the probability that it was manufactured at plant A is _____ GIVEN ANSWER: 0.92 to 0.94

answered 3 days ago in Probability by Habibkhan Veteran (76.8k points) | 20 views

0 votes

1 answer

29

UGCNET-dec2009-ii-22
The number of edges in a complete graph of n vertices is (A) n (B) n(n – 1)/2 (C) n(n + 1)/2 (D) (n^2)/2

answered 3 days ago in Graph Theory by Harish Karnam (345 points) | 18 views

0 votes

0 answers

30

MA 2017

asked 3 days ago in Probability by Amit puri Active (2.3k points) | 19 views

0 votes

0 answers

31

MA 2013

asked 3 days ago in Probability by Amit puri Active (2.3k points) | 18 views

0 votes

0 answers

32

MA 2013 MA
Let X be an arbitrary random variable that takes values in {0,1,…,10}. The minimum and maximum possible values of the variance of X are (A) 0 and 30 (B) 1 and 30 (C) 0 and 25 (D) 1 and 25 GIVEN ANSWER IS C

asked 3 days ago in Probability by Amit puri Active (2.3k points) | 9 views

0 votes

0 answers

33

MA 2014

asked 3 days ago in Probability by Amit puri Active (2.3k points) | 10 views

0 votes

2 answers

34

limits doubt
llimit 1 / ( 1 + (sin x / x ) ) // can we directly put sin x / x =1 is this valid because its not in product form ? x ->0

answered 3 days ago in Mathematical Logic by Rupendra Choudhary Loyal (2.6k points) | 23 views

0 votes

1 answer

35

doubt
Suppose that we draw a card from a deck of 52 cards and replace it before the next draw. In how many ways can 10 cards be drawn so that the tenth card is a repetition of a previous draw.

answered 3 days ago in Combinatory by Tesla! Boss (7.8k points) | 9 views

+5 votes

3 answers

36

GATE1994_3.13
Let $p$ and $q$ be propositions. Using only the Truth Table, decide whether $p \Longleftrightarrow q$ does not imply $p \to \lnot q$ is True or False.

answered 4 days ago in Mathematical Logic by itsvkp1 (233 points) | 350 views

0 votes

1 answer

37

Probability doubt
Three numbers are chosen at random without replacement from {1,2,3,.....,8}. What is the probability that minimum is 3 given that their maximum is 6?

answered 4 days ago in Probability by Habibkhan Veteran (76.8k points) | 17 views

0 votes

1 answer

38

[Discrete maths] Spanning trees

answered 4 days ago in Graph Theory by Habibkhan Veteran (76.8k points) | 35 views

0 votes

0 answers

39

UGCNET-dec2009-ii-04
P : “Program is a step by step execution of the instructions”. Given P, which of the following is true ? (A) Program is a subset of an instruction set. (B) Program is a sequence of a subset of an instruction set. (C) Program is a partially ordered set of an instruction set. (D) All of the above

asked 4 days ago in Mathematical Logic by rishu_darkshadow Active (2k points) | 9 views

0 votes

0 answers

40

UGCNET-Dec2009-ii-01
If she is my friend and you are her friend, then we are friends. Given this, the friend relationship in this context is ____________. (i) commutative (ii) transitive (iii) implicative (iv) equivalence (A) (i) and (ii) (B) (iii) (C) (i), (ii), (iii) and (iv) (D) None of these

asked 4 days ago in Set Theory & Algebra by rishu_darkshadow Active (2k points) | 8 views

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