Recently Active Algebra Questions

A fair coin is tossed n times. Let P n denotes the probability that no two (or more) consecutive heads occur in n tosses. ...

if a< b< c< d, then prove that for any real α,the quadratic eqn (x-a)(x-c)+α(x-b)(x-d)=0 has real roots. ...

After several operations of differentiation and multiplication by (x+1) performed in an arbitrary order, the poylnomial (x8+x7) is changed to (ax+b). Show that |(a-b)| is divisible by 49..... ...

N people are standing in a line, facing forward down the line. How many of them, on average, are able to say, “I am taller than everyone in front of me.”? ...

A red card is removed from a pack of 52 cards. Then thirteen cards are drawn and are found to be of the same colour. Let p and q respectively conditional probabilities that the colour of the cards is black and red then (A) p ...

2 POSITIVE REAL NO.S x & y satisfying x≤1 & y≤1 r chosen at random.The probability that x+y≤1 , given that x2 + y2 ≥ 1/4 , is a) (8-∩) / (16-∩) b) (4-∩) / (16-∩) c)(4-∩) / (8-∩) d) None ...

A delegation of 5 students is to be formed from a group of 10 students. If 3 particular students want to remain together whereas two particular students do not want to remain together, then the number of selection is (A) 10 ( ...

2 positive real numbers x & y satisfy x <= 1 and y <= 1 are chosen at random. The probability that x + y ≤ 1, given that x2 + y2 ≥ 1/4 is (A) [(8-pi)/(16-pi)] (B) [(4 - pi)/(16-pi)] (C) [(4-pi)/(8-pi)] (D) None of t ...

Consider the set X = {4, 5, 6, 8} and Y = {6, 8, 9, 10, 11, 12, 13}, the probability of a strictly decreasing function from set X to set Y, is (A) (120)/(343) (B) (35)/(343) (C) (35)/(2401) (D) (280)/(729) ...

How to solve these kind of questions effectively ????I always make blunders in theses...so plzz help...........experts are requested t o help ASAP [1] Eg. there are two sets A={a1,a2,a3......,an} and B={b1,b2,b3,.....,bm} wha ...

Find the no of solutions. 2cosx= \left|sinx \right| x belongs to 0 to 2pie ...

a spider(with 8 diff legs) has 8 diff socks n 8 diff shoes. in how many ways can the spidey wear the stuff?? HINT: a shoe is worn only ater wearing a sock!!!!!! ...

1. If A and B are symmetric matrices of the same order,then (A) AB is a symmetric matrix (B) A - B is a skew-symmetric matrix (C) AB + BA is a symmetric matrix (D) AB - BA is a symmetric matrix 2. If A,B,C are three matrices ...

1> If 84^n divides (496)! , then what is the maximum value of n ?? 2> What is the number of 5 digit multiples of 3 that end with digit 6 ?? ...

Q1 : If p(x) is a reciprocal polynomial of odd degree , then one of the roots of p(x)= 0 , is ?? Q2: Sum of rational roots of x5 = (133x - 78) / (133 - 78 x ) ...

In how many ways we can place one white and one black rook on a chessboard so that they do not attack each other ? ...

*Image* i dont have the answer ...

1-\frac{1}{4}+\frac{1}{7}-\frac{1}{10}+\frac{1}{13}-\frac{1}{16}............. not a doubt[4] hint-think DI ...

not a doubt: find the no. of non-negative integral solutions of the equation where N is a whole number x+y+z+w ≤ N give the shortest method ...

Out of (m+1) given integers two of them can always be chosen such that there (a) difference is divisible by m (b) Sum is divisible by m (c) Product is divisible by m (d)none of these ...

Is this solvable ?? Find no of ways by which we can stack 12 coins in a line so that each coin lies on table or on 2 coins ...

A stack of 2000 cards is labeled with the integers from 1 to 2000, with different integers on different cards. The cards in the stack are not in numerical order. The top card is removed from the stack and placed on the table, ...

Is the function F(x) = x^3+C ; where C belongs to positive real numbers including 0 ; always strictly increasing at (0,0) ?? please explain !! ...

(Not a Doubt) [4] Find the no. of ways in which 5-A(s) & 6-B(s) can be arrranged in a row which reads the same Backwards. ...

Great question --- a must try , In how many parts an integer N >= 5 should be dissected so that the product of the parts is maximized ? Hint …….----- After getting the answer , you will immediately realize why the cond ...

Great question , specially Nishant sir very much liked it , I would ask him not to give the answer , unless and until everyone tries :) Find the total number of integers p , q , r such that the number , 2 p + 3 q + 5 r is a m ...

If set of values of 'a' for which f(x) = ax2 - (3+2a)x + 6 , a≠0 is positive for exactly 3 distinct negative integral values of x is (c,d] then the value of (c2 + 16 d2) is equal to ----------?? ...

not a doubt if a digit is removed frrom the left of a natural number n, the resultant is n/57 find the sum of digits of n ...

Think its a A . Dasgupta question --- anyhow a good one --- there are two methods actually -- lets see Prove that the eqn . a0 x5 + a1 x4 + a2 x3 + a3 x2 + a4 x + a5 = 0 cannot have all real roots if 2 a12 - 5 a2 < 0. ...

plz solv ethese???? 1)if a,b ,c are real a+b+c=0,then quadratic equation 3a^2+2bx+cx=0 has- a)at lest 1 root in [0,1] b)at least one root in [1,2] ...