Popular Algebra Questions

A QUE FRM GOIIT........ NO ONE THER CARED TO ANSWER IT..... NICE ONE THOUGH..... A regular polygon with vertices C1, C2, C3,.............Cn-1, Cn are inscribed in a circle with the centre C0 Q.1. If n is a multiple of 6, then ...

the integer just grater than (√3+1)^6 ...

The inervals for which x11-x8+x5-x2+x>0 ...

Find the number of zeros at the end of 300! ...

I'm having trouble with complex numbers.[2] My friends say "Machan, that's one of the easier topics to score in JEE". So I want to improve in that area. Please suggest a few tips for that. [1] ...

There is a factory of gold in which there are 4 machine each machine produce 100 gm gold coin. one day suddenly due to technical prob. in machine one machine start making coin of 90 gm instead of 100 gm PROBABLITY OF finding ...

6 dices are thrown together.Find the probability of getting a sum of 15. What is the easiest and quickest way to do it? ...

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... ...

Q.1 In how many ways can clean & clouded (overcast) days occur in a week assuming that an entire day is either clean or clouded. Q.2 Four visitors A , B , C & D arrive at a town which has 5 hotels . In how many ways can they ...

1) Solve for x: [x2]= x +2{x} [ ] denotes the G.I.F.{ } is the fractional part. 2) Find the total number of integral solutions of x2-2y2 =2000. ...

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1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...

SHARE: 1. Let N = 1111 ........ 11 {1998 times}, then find the 1001th digit after decimal for √N. DOUBT: 2. \textup{If } \frac{1}{1! 11!}+\frac{1}{3! 9!}+\frac{1}{5! 7!} = \frac{2^{n}}{m!} \textup{and } f\left(x+y \right) = ...

1. Find the no. of three element set of positive integers (a,b,c) satisfying the abc = 2310 2. Find the no. of distinct throws that can be made with 'n' 6 faced fair dices which are indistinguishable among them? NOTE: Please ...

1) If a,b,c,d > 1 P.T. 8(abcd+1) > (a+1)(b+1)(c+1)(d+1) 2) If a,b,c ≥ 0 and a+b+c =1 Find the max. value of \sqrt[ 3 ]{a+b} + \sqrt[ 3 ]{b+c} + \sqrt[ 3 ]{a+c} 3) For a,b,c > 0 Prove that x2 + y2/x+y + z2 + y2/z+y ...

1)find the number of quadratic polynomials ax2+bx +x,which satisfy the following conditions: a) a,b,c are distinct b) a,b,c, belongs to {1,2,3,...,1999) c)x+1 divides ax2+bx +x.. 2)let ABCD BE A QUADRILATERAL in which AB is p ...

Consider these two questions- 1) find the number of non negative integral solutions of x+y+z+w = 20 2) find the number of positive integral solutions of x+y+z+w = 20 answer to 1) is 23C3 and 2) is 19C3 Is there any difference ...

find the reflection of the complex no. 2-i in the straight line z = iz ...

find *Image* ...

\texttt{The number of natural numbers between 1 to 2000 such that sum of digits of their sqaures is eqaul to 21} ...

|z - 4| - |z - 5i| = k will represent hyperbola provided k will be (A) 6 (B) 7.5 (C) 1 (D) -1 (E) -3 MULTIPLE ANS QS ...

every now n then in calculus we encounter this function........moreover surprisingly while solving problems we come across a few properties which r usually not given under standard list given in books.........so i request all ...

let a1,a2,a3.......an be n nos such that each a2 is either 1 or -1....If a1a2a3a4 + a2a3a4a5+................ana1a2a3=0.............then prove 4 divides n[1] ...

Let f(x) = [3+4Sinx] (where [] denotes greatest integer). Then, find the sum of all the values of "x" in [Ï€ ,2Ï€] where f(x) fails to be differenciable..... Answer : 12Ï€ ...

(1)there are 24 balls of 6 different sizes in a bag, there being 4 balls of each size in four different colours .in how many ways 4 balls can be selected so that they are of differnt colours?????? (2) how many 5 digit nos. of ...

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

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 ...

Q. For some Natural No. N the no. of positive integral 'x' satisfying the equation 1! + 2! + 3! + ....... + (x!) = (N)2 is: A) None B) one C) two D) infinite I've found the values of x as 3 and 1. So total of 2 values is poss ...

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 n is an even integer and a,b,c are distinct numbers,then find the number of distinct terms in the expansion of (a+b+c)^n + (a+b-c)^n My approach>>>> It should b (n+1)+(n-1)+(n-3)+........+1 So ans should b ((n+ ...