Recently Active Algebra Questions

On 3 different days a man has to drive to a railway station and he has 5 conveyances; in how many ways can he make the 3 journeys ? I have done: 5C3.3! + 5C1.4C1 3!/2! + 5C1 = 125 The ans is right but i think somewhere i have ...

If n positive integers are taken together and multiplied ,find the probablty that last digit is 2,4,6,8 ...

If a and b are chosen randomly from set containing {1,2,3,4,5,6} with replacement,find probablity so that \lim_{x\rightarrow 0}\frac{a^x-b^{\frac{x+2}{x}}}{2}=6 I couldnt understand why this limit was given. ...

If n is a odd integer greater than 3,but not a multiple of 3.Prove that x3+x2+x is a factor of (x+1)n-xn-1 ...

(1)The value of [(2009!+2006!) /(2008!+2007!)] here [.] denote greatest integer function. ans: (a) 2009 (b) 2008 (c) 2007 (d) 1 ...

A nice question from a book I downloaded today..and I have become an addict Given a circle of n lights, exactly one of which is initially on, it is permitted to change the state of a bulb provided one also changes the state o ...

""Not my doubt ,just a good question[1]"" In a n sided regular polygon the probablity that two diagonals chosen random will intersect inside the polygon is ??? ...

A random point is unifomly distributed in a square of side length 1 unit. Q1 Find probablity thta distance of A from nearest side doesnt exceed x (x<1/ 2 ) Q2 Find probablity thta distance of A from centre does not exceed ...

*Image* ...

Find the number of ways in which a batsman can score 14 runs in 6 balls not scoring more than 4 runs in any ball Ans:19C5-614C5+159C5 ...

How many six digit numbers can be formed in decimal system in which every succeeding digit is greater than previous digit ? Ans:9C3 ...

Find the number of ordered pairs (m,n) (m,n ε {1,2,3..20})such that 3m+7n is a multiple of 10 ...

Show that the equation A2/x-a + B2/x-b +....+ H2/x-h =x+λ where A,B,C...a,b,c...λ are real numbers,cannot have complex roots. ...

Show that all the roots of equation zncosθ0+zn-1cosθ1+....+cosθn=2 where θ1,θ2...θn εR lies outside the circle lzl= 1/2 ...

x,y,z are positive real numbers satisfying x^3y+3 \le 4z y^3z+3 \le 4x z^3x+3 \le 4y Find (x,y,z) ...

There are n numbered seats around a round table.In how many ways can m(<n)persons sit around the table ? ...

*Image* ...

if /z/ = max{ /z-1/ , /z+1/ } then, 1./z+conjugatez/=1\2 2.z+ conj. z =1 3./z+conj.z /=1 4.none i got the answer to be b and c solution.... |z| = max{ /z-1/ , /z+1/ } or x2 +y2=max{(x-1)2 + y2 , (x+1)2+y2} so seeking the grap ...

After elections, each senator in the CaliMass Congress has an absolute rating (the number of voters for example - anyway a positive number). Each of these senators enters in a committee in which he obtains a relative rating. ...

Find x+y if real numbers x,y satisfy x3-3x2+5x-17=0 and y3-3y2+9y+11=0 ...

If f(x) and g(x) are 2 polynomials such that polynomial h(x)=xf(x^3)+x^2g(x^6) is divisble by x^2+x+1 then find relation between f(1) and g(1) i got the answer f(1)=-g(1) but answer given is f(1)=±g(1) plz help ...

Please anyone tell whether Hermitian and unitary matrix are in JEE syllabus or not??? ...

If the imaginary part of expression z-1/eiθ + eiθ/z-1 is zero,then find locus of z i tried by taking z-1/eiθ =t ..another complex no.. but in vain.. plz suggest a better method ...

http://www.ajorza.org/wimo/images/mathfiles/files/resources/intseq.pdf ...

Five ordinary dice are rolled at random and the sum of the nos shown on them is 16.What is the probability that the nos shown on each is any one frm 2,3,4 or 5... ...

1+( 2 -1)/2 2 +( 3-2 2 )/12+ (5 2 -7)/24 2 + (17-2 2 ) /80 +......∞ ...

*Image* ...

*Image* ...

Find the greatest no in 300! and 100300 ...

*Image* ...