Recently Active Algebra Questions

What is the probability that 2 person in a 23 person room share same birthday????? ...

If four squares are chosen random on a chessboard, find the probability that they lie on a diagonal line. ...

In a test an examinee either guesses or copies or knows the answer to a multiple choice question with 4 choices. The probability that he makes a guess is 1/3 and the probability that he copies it is 1/6 . The probability that ...

In a multiple choice question there are four alternative answers, of which one or more are correct. a candidate will get marks in the question only if he ticks all the correct answers. The candidate decides to tick the answer ...

1)Find the value of \fn_jvn \frac{\sum_{r=0}^{24}\binom{100}{r}\binom{100}{4r+2}}{\sum_{r=1}^{25}\binom{200}{8r-6}} 2)The largest term of the sequence 1/503 , 4/524 , 9/581 , 16/692 ... is 49/1529p Find p? 3)No of solutions o ...

\hspace{-16}\bf{(1)\;\; \mathbb{F}}$ind $\mathbb{L}$ast $\bf{2}$ Digit of $\bf{7^{7^{7^{7}}}}$\\\\\\ $\bf{(2)\;\; \mathbb{F}}$ind $\mathbb{R}$emainder When $\bf{2222^{5555}+5555^{2222}}$ is Divided by $\bf{7}$. ...

The greatest value of x3y4 if 2x+3y=7 and x, y ≥ 0 ...

1)[easy] Prove that: \dpi{200} asin(x)+bcos(x)\leq \sqrt{a^{2}+b^{2}} 2)[hard] Prove that for any triangle with sides a,b,c and area A. \inline \dpi{200} a^{2}+b^{2}+c^{2}\geq 4\sqrt{3}A 3)[harder] How should n balls be put i ...

solve (x+3)4+(x+5)4≥4 ...

FIND THE LOCUS OF THE COMPLEX NUMBER FOLLOWING THE RELATIONS arg(z-1)=pi/4 AND |z-2-3i|=2. ...

\hspace{-16}$If $\bf{(x-8).(x-10)=2^y}$ where $\bf{x,y\in \mathbb{Z}}$. Then no. of ordered pairs of $\bf{\left(x,y\right)}$ ...

\hspace{-16}$How many digits are used in total to write the natural numbers \\\\ from $\bf{1}$ to $\bf{100 ^ {1000}.}$ ...

\hspace{-16}$The no. of positive integer value of $\bf{n}$ for which $\bf{n^2 - 19n + 99}$\\\\ is perfect square. ...

Remember the formula for the sum of cubes of 1st n naturals..... \frac{n^2(n+1)^2}{4} Remember the formula we learnt in progressions for deriving this? Now derive this using bionomial theorem..... ...

z has property that |z-5i|=1 & z1 is such that |z1-5|=1 find z1 with the property that |z-z1| is maximum ...

In how many ways can you put 9 coins of into 2 pockets? Consider the cases as (a) All 9 coins are different (b) all 9 coins are same ...

if a,b,c,d and p are different real numbers such that (a2+ b2+c2)p2 -2(ab+bc+cd) p +(b2+c2+d2) ≤ 0 then a,b,c and d are in geometric progression ...

\hspace{-16}$\bf{(A)} No. of ordered pairs $\bf{(n,r)}$ which satisfy $\bf{\binom{n}{r}=2013}$\\\\\\ (B) No. of ordered pairs $\bf{(n,r)}$ which satisfy $\bf{\binom{n}{r}=2014}$ ...

Prove that n*(n+1)*(2n+1) is divisible by 6, for any n>0 ...

A and B toss a coin each alternatively.The first person to toss 5 heads wins.Find the chances of A winning if he starts the game? ...

\hspace{-16}$Is there is any Natural no. $\bf{n}$ which end with exactly ........\\\\ $\bf{(i)\;\; 2013-}$ zero,s.\\\\ $\bf{(ii)\; 2014-}$ zero,s.\\\\ $\bf{(iii)\; 2015-}$ zero,s.\\\\ ...

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Of 3n+1 objects, n are indistinguishable, and the remaining ones are distinct. Find the number of ways to choose n objects from them. ...

2n players are participating in a tennis tournament. Find the number Permutation of pairings for the first round ...

\hspace{-16}$If $\bf{a+b=8}$ and $\bf{ab+c+d=23}$ and $\bf{ad+bc=28}$ and $\bf{cd=12}$.\\\\ Then value of \\\\ $\bf{(i)\;\;\;a+b+c+d=}$\\\\ $\bf{(ii)\;\;ab+bc+cd+da=}$\\\\ $\bf{(iii)\; abcd=}$ ...

\hspace{-16}$Let $\bf{S = \{1,2,3,4,5\}}$. Then the no. of unordered pairs $\bf{\{A,B\}.}$\\\\\ of Subsets of $\bf{S}$ such that\\\\ $\bf{(i)\;\;\;\; A\cap B=\phi}$. Where $\bf{A\neq B}$\\\\ $\bf{(ii)\;\;\;\; A\cap B=S}$. Whe ...

find the minimum value of th modulus of the sum of all 6 trigo functions.. ...

\hspace{-16}$Total no. of positive divisers of $\bf{226894500}$ which are is in the form of\\\\ $\bf{(i)\;\;(4n+1)\;\;,}$ Where $\bf{n\in \mathbb{N}}$\\\\ $\bf{(ii)\;\;(4n+2)\;\;,}$ Where $\bf{n\in \mathbb{N}}$\\\\ $\bf{(iii) ...

\hspace{-16}$Minimum value of $\bf{n\in\mathbb{N},}$ whic has ......\\\\ $\bf{(i)\;\; 16-}$ divisers.\\\\ $\bf{(ii)\;\; 19-}$ divisers.\\\\ $\bf{(iii)\;\; 24-}$ divisers.\\\\ $\bf{(iv)\;\; 25-}$ divisers.\\\\ $\bf{(v)\;\; 26- ...

\hspace{-16}$The no. of divisers of the form $\bf{12\lambda+6(\lambda\in \mathbb{N})}$ of the no. $\bf{25200}$ ...