Recently Active Algebra Questions

Two cards are drawn from a well shuffled pack of 52 cards. Find the probability that one of them is a red card & the other is a queen. ...

Each of the 'n' passengers sitting in a bus may get down from it at next stop with probability P.Moreover, at the next stop either no passenger or exactly one passenger boards the bus. The probability of no passenger boarding ...

Q: If |Z+2/(Z)|=4, Then Max. and Min. value of |Z| = here Z is a complex no. ...

*Image* and yn = xn*xn Then what is the value of y1 + y2 + y3 + y4 + y5 + y6 + y7 + y8? 1. 459 2. 259 3. 257 4. 467 5. None of these ...

Ques) The greatest integer whiich divides the number 101 100 -1 is: (a) 100 (b) 1000 (c) 10000 (d) 100000 ...

prove that non-real non real can be real!!! [those who already knw the answer plz dont post ...please let oders wreck their brains!!] hint: name of the topic is complex!!but JUST THINK SIMPLE ...

What sthe remainder when 32^{{32}^{32}} diviided by 7 ??? ...

prove that the value of log25 lies between 3/2 and 7/3 ? ...

Ari, the king of Egypina, is very vain Wishes all his soldiers be called by his own name! Dexter, his minister, finds this ludicrous, And to the relief of the soldiers, Manages a fine bargain. “Your highness, all soldiers w ...

Prove that \frac {C_0}{x}- \frac {C_1}{x+1}+ \frac {C_2}{x+2} -......+(-1)^n\frac {C_n}{x+n}=\frac {n!}{x(x+1)..(x+n)} ...

Prove that \frac {C_0}{n}- \frac {C_1}{n+1}+ \frac {C_2}{n+2} -......+(-1)^n\frac {C_n}{2n}=\frac {(n!)(n-1)!}{(2n)!} ...

Here is a great problem for the olympiad pursuers -- as far as I think-- Ptove that every positive integer can be written as the sum of not more than 48 integers , each raised to the power 4 and zeroes are excluded. ...

Find coeff of xnyn in expansion of [(1+x)(1+y)(x+y)]^n ...

Another olympiad stuff -- If a+b+c=0; find ( b-c/a + c-a/b + a-b/c ) ( a/b-c + b/c-a + c/a-b ). ...

In (1 + x + x2 + 2x3 + x4 + x5 + x6)n the coefficient of x4 is?????? ...

Didnt want to make the previous thread tooo long..http://targetiit.com/iit-jee-forum/posts/inequalities-sikhna-chahte-ho-to-sikho-varna-koi-b-11546.html so new questions in new thread... This is season 2 of "Inequalities Sikh ...

Q1Prove log_e[(1+x)^{1+x}.(1-x)^{1-x}]=2[\frac {x^2}{1.2} + \frac {x^4}{3.4} + \frac {x^6} {5.6} +..\infty] Q2 If n≈N then show that \sqrt {\frac {N}{n}}=\frac {N}{n+N}+\frac {n+N}{4n} what is most appropriate proof for thi ...

let P[x] = x3 - rx + r + 11 be a polynomial , where r is a +ve integer . Let r vary [Q1] the no . positive integral solutions of p[x] = 0 are [a] 6 [b) 3 [c] nil [d] infinitely many [Q2] the sum of all +ve integral roots of p ...

Prove that 2[\frac {1}{2n^2-1} + \frac {1}{3(2n^2-1)^3}+\frac {1}{5(2n^2-1)^5}+..........]=\frac {1}{n^2} +\frac {1}{2n^4} +\frac {1} {3n^6} +.........=2log_en-log_e(n+1)-log_e(n-1) ...

Show taht 1+\frac {2n}{3} + \frac {2n(2n+2)}{3.6}+\frac {2n(2n+2)(2n+4)}{3.6.9}+... \infty=3^n and 2^n[1+\frac {n}{3} + \frac {n(n+1)}{3.6}+\frac {n(n+1)(n+2)}{3.6.9}+... \infty]=3^n ...

1.Find the remainder when 2710 +751 is divided by 10. PLEASE TELL ME THE GENERAL METHOD TO THIS SUM 2.determine constant term in expansion ok (1+ x + (1/x)2 + (1/x)3)10 ...

Q1 let A be set of digit nos. a1a2a3a4 where a1>a2>a3>a4,then n(A) = ???????? Q2 All possible 2 factor products are formed form nos. 1,2,3...200.The number of factors of hte total obtained which are multiple of 5 ?? ...

find no. of distinct rational nos. x such that 0<x<1 and x=p/q where p,qε {1,2..6} ...

f(x)=x^2+bx+c. If f(x) assumes only interger values for all integer x then : a)b must be integer but c may not be. b)c must be integer but b may not be. c)b+c must be integer. d)None of these. ...

let A={1,2....n}.If X denotes subsets of A containing exactly 3 elements,then find \sum_{p\in X}{min(P)} ...

If r, s, t are prime numbers and p, q are the positive integers such that the LCM of p, q is r2 t4s2, then the number of ordered pair (p, q) is (a) 252 (b) 254 (c) 225 (d) 224 ...

do we have non integral index in ur sylbaus n also -ve index FOT IIT JEE.......... ...

Eleven scientists are working on a secret research project of ISRO. They wish to lock up all the documents regarding the project in a cabinet such that the cabinet can be opened if and only if atleast six of these scientists ...

Got this one from goiit.. (Nice that i went there and browsed a couple of posts :) 21 = x^y + y^x Find the values of x and y . (Restrict to the integral solutions only) Discuss the other cases too... ...

In how many ways can you color a cube with a) one color b) two colors c) three colors d) 4 colors e) 5 colors f) 6 colors Each of them is easy ... just needs a bit of thinking :) ...