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Recent questions tagged algebra

2 votes
1 answer
1
Let $\mathbb{N}=\{1,2,3, \dots\}$ be the set of natural numbers. For each $n \in \mathbb{N}$, define $A_n=\{(n+1)k, \: k \in \mathbb{N} \}$. Then $A_1 \cap A_2$ equals $A_3$ $A_4$ $A_5$ $A_6$
asked Sep 23, 2019 in Set Theory & Algebra Arjun 117 views
0 votes
1 answer
2
If p(n+1)+p(n-1)=p(n) for every natural number ‘n’then for what values of natural number ‘a’ will p(n+a)=-p(n) a)3 b)2 c)4 d)6
asked Jan 10, 2019 in Numerical Ability junaid ahmad 179 views
3 votes
1 answer
3
If $a/b=c/d$, then which of the following does not hold good? $(a+b)/b=(c+d)/d$ $(a+c)/(b+d)=(a-c)/(b-d)$ $(a+b)/(a-b)=(c+d)/(c-d)$ $(a+c)/(b-d)=(a-c)(b+d)$
asked Dec 27, 2018 in Numerical Ability Ruturaj Mohanty 153 views
3 votes
1 answer
4
If $x=cy+bz, \: y=az+cx, \: z=bx+ay,$ where $x,y,z$ are not all zero, then $a^2+b^2+c^2=$ $1+2abc$ $1-2abc$ $1+abc$ $abc-1$
asked Dec 27, 2018 in Set Theory & Algebra Ruturaj Mohanty 280 views
0 votes
0 answers
5
What is the maximal order of an element in S7? The symbol Sn will stand for the set of all permutations of the symbols {1,2,···,n}, which is a group under composition.
asked Jun 13, 2018 in Set Theory & Algebra Forrest Gump 197 views
1 vote
1 answer
6
For what values of $\lambda$ the system of equations will have $2$ linear independent solutions - $x + y + z = 0$ $(\lambda + 1) y + (\lambda + 1) z = 0$ ($\lambda^{2}- 1) z = 0$ Now the problem i'm facing is if there is $2$ Linear ... rank of matrix will be $1$. Can anyone please explain in simple why the rank of matrix should be $1$ if we need $2$ Linear Independent solution. Thankyou.
asked Mar 2, 2018 in Linear Algebra pilluverma123 245 views
2 votes
1 answer
7
$\underbrace{a+a+a+ \dots +a}_{\text{n times}}=a^2b$ and $\underbrace{b+b+b+ \dots +b}_{\text{m times}} = ab^2$, where $a, b, n, m$ are natural numbers. What is the value of $\Bigg( \underbrace{m+m+m+ \dots +m}_{\text{n times}} \Bigg) \Bigg( \underbrace{n+ n+ n+ \dots + n}_{\text{m times}} \Bigg)?$ $2a^{2}b^{2}$ $a^{4}b^{4}$ $ab(a+b)$ $a^{2}+b^{2}$
asked Feb 17, 2018 in Numerical Ability gatecse 377 views
3 votes
2 answers
8
Standard books required for linear algebra and calculus for gate syllabus ?
asked Aug 18, 2017 in Linear Algebra shipra tressa 300 views
1 vote
2 answers
9
Let f and g be the functions from the set of integers defined by $f(x) = 2x+3$ and $g(x) =3x+2$. Then the composition of f and g and g and f is given as 6x+7, 6x+11 6x+11, 6x+7 5x+5, 5x+5 None of the above
asked Jul 26, 2016 in Set Theory & Algebra jothee 1.1k views
15 votes
6 answers
10
If $\dfrac{(2y+1)}{(y+2)} < 1,$ then which of the following alternatives gives the CORRECT range of $y$ ? $- 2 < y < 2$ $- 2 < y < 1$ $- 3 < y < 1$ $- 4 < y < 1$
asked Dec 19, 2015 in Numerical Ability Akash Kanase 992 views
1 vote
0 answers
11
A tiled floor of a room has dimensions $m \times m$ Sq.m. Dimensions of the tiles used are $n \times n$ Sq.m. All tiles used are green tiles except diagonal tiles which are red. After some years some green tiles are replaced by red tiles to form an alternate red and green tile pattern. How many green tiles are removed? ... $(m^2 - 4mn - n^2) / 2n^2$ D) $(m^2 -4mn - 2n^2) / 2n^2$
asked Dec 15, 2015 in Numerical Ability Prasanna 940 views
2 votes
3 answers
12
Given $\displaystyle \cfrac{\;\cfrac{a}{b} + \cfrac{b}{a}\;}{\cfrac{a}{b} - \cfrac{b}{a}} = 1$ If $a$ and $c$ are positive integers, then how many ordered pairs are possible for $(a,c)$, where: $a + 4b^2 + c \leq 8$? 45 28 17 18
asked Nov 19, 2015 in Numerical Ability richa116 231 views
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