Recently Active Algebra Questions

*Image* ...

What is the number of relations from A to B where A has m elements,B has n elements and x elements are common between A and B. ...

Let n be an integer such that 1 + 1/2 + 1/3 + 1/4 + ....+ 1/31 = n/31! Compute the remainder when n is divided by 17. OPTIONS 1) 16 2) 7 3) 8 4) 9 5) None of these ...

if a,b,c,d>0, x e R and (a2 + b2 +c 2)x2 -2(ab+bc+cd)x + b2+ c2 +d2 ≤0 then the value of the determinant [33 14 lna] [65 27 lnb] [97 40 lnc] ...

if a,b,c \epsilon R satisfy 1/a + 1/b + 1/c = 1/a+b+c find the value of ( 1/a +1/b + 1/c)2007 - 2007/a2007 +b2007 +c2007 + 2006/(a+b+c)2007 ...

Let A and B be two events such that B=A and p(A) = x and p(B) = y. Let the actual event be T. Let the event T be carried out n times. What is the probability that A occurs exactly p times (p<n)? ...

if i have to evaluate : S=1.2 +2.3+3.4+..................+(n-1).n +n.1 then i have a ready made formula (with proof also) for evaluating 1.2 +2.3+3.4+..................+(n-1).n as (n+1)! /(r+1)(n-r)! putting r=2 we get (n+1)n ...

1) How many arrangements can be made with all the letters of the word "VENUS" such that the order of the vowels remains unaltered ? 2) In how many ways can 5 commerce and 4 science students be arranged in a row so that the co ...

find the maximum and min value of x2y3z4 such that x+y+z=18 ...

*Image* ...

The natural nos. r grouped as (13), (57911), (13,15,17,21,23),........ Find the sum of the nos. in nth group? 1) 4n3 2) 3n2 3) 2n2 4) n ...

if P= (10999+9.10998 +92.10997......9999.1)/(101000-91000) find the value of (p+1)(p+100)/p(p-2) ...

Find the minimum degree of a polynomial equation which has integral coefficients and has one of the roots as cos12.? ...

find the time (to the nearest second) between 10:00 and 11:00 when the hours and the minutes hands of the clock are symmetric about the axis passing through 12:00 and 6:00 i forgot the options given! ...

Sally is thinking of a 6-digit number. The sum of the digits is 43. And only two of the following three statements about the number are true: (1) it's a square number. (2) it's a cube number, and (3) the number is under 50000 ...

if m, n ,p are positive integers satisfying mnp.npm.pmn=3mnp find value of m+n+p ...

p*q*r*s = 210 find number of solutions. is d answer 24 or 256????plz post wid logic!! ...

Not at all my doubt Find total no. of positive integral solutions of xyz = 23.34.51 ...

Q1. (x+4)(x+7)(x+8)(x+11) + 20 = 0 ...

The number of ways in which a set A where n(A) = 12 can be partitioned in three subsets P,Q,R each of 4 elements subject to the following conditions (i) P U Q U R = A (ii) P ∩ Q = φ (iii) Q ∩ R = φ (iv) R ∩ P = φ is ...

If P = n(n2 - 12)(n2 - 22)(n2 - 32)...(n2 - r2), n > r, n N, then P is divisible by 1. (2r + 2)! 2. (2r - 1)! 3.(2r + 1)! 4.(2r - 2)! ...

If A and B throw 2 dice such that if A gets a sum of 6, he wins and if B gets a sum of 7, he wins. Find the probability of there victory if A throws the dice first. They throw dices alternatively. That might be simple...but p ...

Give a good approximation for i^i^i^..... ans:0.43+0.36i ...

Let P, Q, R and S cut a pack of 52 cards successively in the order given. If the person who cuts heart first receives Rs. 700. Then match the expectations of P, Q, R, S 1. Expectation of P A. Rs. 144 2. Expectation of Q B. Rs ...

The sum of the first few terms in a geometric progression is 11, the sum of their squares is 341, and sum of their cubes is 3641. Find the terms of the sequence. ...

prove this inequality *Image* conditions:plz dont use titu lemma,tchebychef and cauchy-schwatz.... only alowwed inequality's are a.m >g.m >h.m and mean power............ i am imposing these conditions because i proved i ...

if a+\frac{1}{a}=-1 find the value of (a^2+a+1)+(a^4+a^2+1)+(a^6+a^3+1)+(a^8+a^4+1)+...+(a^{2006}+a^{1003}+1) ...

try these 2 questions :) 1). if z + 1/z =2cos3° then find the value of z2009 + 1/z2009 2) if x= 4/((51/2 +1)(51/4+1)(51/8+1)(51/16 +1)) then find the last digit of (x+1)48....... ...

Which of the following definition is correct? A square matrix A is called nilpotent if there exists a positive integer m such that Am= 0 , where m is the least positive integer such that Am = 0 , then m is called the index of ...

Determine all 2 by 2 matrices "A" such that AX=XA for any 2 by 2 matrix X. Aside: I have often said this.. Uptil a long time I used to think why we are taught that (a+b)+c = a+(b+c) and a+b=b+a .. etc etc... We used to laugh ...