Recently Active Algebra Questions

Prove (-1) x (-1) = 1 algebraically .... Soln. can be given by anyone other than ATGS :-) ...

Find the sum to n terms of the series : 3/4 + 15/16 + 63/64 + .......= (a) n-(4^n/3) + 1/3 (b) n-(4^n/3) - 1/3 (C) n-(4^-n/3) +1/3 (D) n-(4^-n/3) - 1/3 ...

Let there be a quotient of 2 natural nos in which the denominator is 1 less than the square of the numerator. If we add 2 to both numerator and denominator,the quotient will excess 2/3. If we subtract 3 from both numerator an ...

17 ants are roaming over the chess board of the area 8 X 8 (I.e is 64 square inches) then atleast two of them must always be closer than (a) 2 inches (b) 2 √2 inches (c) √2 inches (d) none of these ...

1. Find the number of solutions of the equation x+y+z=6 the answere is 28 Please explain this in detail 2. From 5 apples, 4 mangoes and 3 bananas, in how many ways can we select atleast two fruits of each variety if i) fruits ...

Well, here are some brainy problems you might want to have a look at only if you are not feeling too sleepy --- :) I am gonna post the solutions after one hour if I can --- 1> If y = x/x2+1 , then find x if d4/dx4 (y) = -3 ...

I think the following questions require good amount of thinking,but even after such a short stint with targetiit, i realized one thing and that is, no man made problem can escape from the axe of problem solving here :) [I hop ...

a,b,c be e R+ and form an AP and abc=4 find the minimum value of b ...

while solving this sum: find C0+C1/2 +C2 /3 +.............+Cn/n+1 there is an alternate method given in BT that is multiply and divide by( n+1) \frac{1}{n+1}[(n+1)(1+\frac{n}{2} + \frac{n(n-1)}{1.2.3}+...........] then the ex ...

1 Three distinguishable dice are rolled. In how many ways can we get a total of 15. answere is 10 2 Rearrangements : In a match the column question. Column I has 10 questions and column II has 10 answeres written in arbitary ...

\sum_{i=0}^{\infty}{\sum_{j=0}^{\infty}{\sum_{k=0}^{\infty}{\frac{1}{3^i3^j3^k}}}}=?? ...

The no. of ways in which a score of 11 can be made from a throw by 3 persons, each throwing a die once is : A)45 B)18 C)27 D)68 Ans : C NO USE OF MULTINOMIALS PLEEEEEEAAAASE ...

Q 2n girls are randomly divided into 2 subgroups contaitning n girls each.The probablity that two tallest girls are in diff groups... Ans given is n/2(2n-1) ..but i am getting (n-1)/2n ...

For how many values of "a" will the following equation have two equal roots: x^3 + (a^2++a-1)x^2 + (a^3-a^2-a)x -a^3 =0 i got 4 as ans.... plz verify... ...

I know this has been done before here...but I couldnt understand soln there or at goiit..where bhatt sir did it So posting it again.... If f(x).f'(x).f"(x)>0 for all xεR.Then prove that f(x) is increasing function ...

Prove that n= 5125-1/525-1 is a composite number. ...

Q1. 9 persons enter a lift from the ground floor of a building which stops at 10 floors exulding the ground floor ,if its known that persons will leave in groups of 2,3,4 in different floors ..In how many ways can this happen ...

if a>b>0 n→N prove that an -bn>=n(a-b)(ab)(n-1) /2 ...

A car will hold 2 in the front seat and 1 in the rear seat.If among 6 persons 2 can drive,then what is the number of ways in which the car can be filled? ...

If x = {1,2,3,..............., 100} and let S = {(a,b,c) | a,b,c belongs to a < b and a <c }, then the number of elements in S are : (a) 328250 (b) 328450 (c)328350 (d) none ...

ques. There are 5 boxes of 5 different colors. Also there are 5 balls of colors same as those of the boxes. In how many ways we can place 5 balls in 5 boxes such that a) all balls are placed in the boxes of colors not same as ...

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides, if none of the side of the polygon is also the side of the quadrilateral is : (a) 17C4 – 15C2 (b) 15C3 .20/4 (c) 227 ...

find the sum (nC1)2 + 2(nC2)2 + ...+ n(nCn)2 ...

a+b+c=1 then prove (1+1/a)(1+1/b)(1+1/c) >= 64 ...

In a town of population of n,a person sends 2 letters to 2 separate persons,each of whom is asked to repeat the procedure.Thus for each letter recieved,2 letters are sent to 2 separate persons chosen at random, Let P1,P2,..., ...

Given that x^3-3xy^2 = 10 and y^3-3x^2y = 30 find the value of x^2+y^2 ...

If |z-25i|≤15 then |max Arg. (z)-min Arg. (z)| equals to..? ...

Prove that if n >3 , then *Image* = 0 ...

find the remainder wen a)...1399 is divided by 81 b)....22225555 +55552222 is divided by 7 ...

if x2/2 + y2/3 + z2/6 =12 find the greatest possible value of ( x/2 + y/3 + z/6 )2 jus give the hint only [1] ...