
The solution of the equation {log _7}{log _5}(sqrt {{x^2} + 5 + x} ) = 0 a) x = 2 b) x = 3 c) x = 4 d) x =  2 ...

The value of sqrt {(log _{0.5}^24)} is a) â€“2 b) sqrt {(  4)} c) 2 d) None of these ...

If {log _{10}}2 = 0.30103,{log _{10}}3 = 0.47712, the number of digits in {3^{12}} imes {2^8} is a) 7 b) 8 c) 9 d) 10 ...

1 + 1+2/1! + 1+2+3/2! + 1+2+3+4/3! + ..... âˆž = (a) 0 (b) 1 (c) 7e/2 (d) 2e Brahmastra  Exponential and logarithmic series Q No.5 ...

Î£ 1/1+xab+xac =? (A) 1 (B)1 (C) 0 (D) N.O.T. ...

If one root of the equation ax2+bx+c=0 is the square of the other, then a(cb)3=cX, where X is (a) a3+b3 (b) (ab)3 (c) a3b3 (d) N.O.T Please show the method .. ...

If the roots of the equation x2bx/axc = m1/m+1 are equal but opposite in sign, then the value of of m will be (a) ab/a+b (b) ba/a+b (c) a+b/ab (d) a+b/ba Brahmastra, Quadratic Equations Q No. 10. ...

For x â‰¥ 0, the smallest value of the function f(x) = 4x2+8x +13/ 6(x+1) is : ...

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If S(n) = Î£nk=1 4 k /4 k 4 + 1 then find the value of 221s(10)/10 lz show the ful sonn... ...

The value of the determinant *Image* is (a) 15!+16! (b) 2(15!)(16!)(17!) (c) 15!+16!+17! (d) 16!+17! ...

Out of (2n+1) tickets numbered consecutively, three are drawn at random. the chance that the numbers on them are in A.P is (a) n2/4n21 (b) 2n/4n21 (c) 3n/4n21 (d) 4n/4n21 ...

If A = {1,2,3,4....18,19} then the number of functions f : Aâ†’A such that f(x)=y and sum of digits of x is equal to the sum of digits of y is (a) 540 (b) 219 (c) 218 (d) 720 ...

If three positive real numbers a, b, c are in A.P. such that abc = 4, then the minimum possible value of b is (a) 23/2 (b) 22/3 (c)21/3 (d) 25/2 ...

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Number of zeroes at the end of the number Î rr where r varies from 1 to 25, is (a) 50 (b) 49 (c) 49 (d) 100 ...

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1.(multiple answer possible) If the sum of the coefficients in the expansion of (2x+yz)^n is 128, then the value of r for which the coefficient of x^r in the expansion of (1+x)^n is the greatest is (A) 7 (B)3 (C)4 (D)5 ...

Two distinct numbers a and b are chosen randomly from the set {2, 22, 23, 24, ......, 225}. Find the probability that logab is an integer. ...

If the sum of the roots of the equation 2333x2+2111x+1=2222x+2+1 is expressed in the form a/b find a + b, where a/b is in its lowest form. ...

The solution of the equation 2{x^2} + 3x  9 le 0 is given by a) frac{3}{2} le x le 3 b)  3 le x le frac{3}{2} c)  3 le x le 3 d) frac{3}{2} le x le 2 ...

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A flight of stairs has 10 steps. A person can go up the steps one at a time, two at a time, or any combination of 1's and 2's. Find the total number of ways in which the person can go up the stairs. ...

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If a, b, c are the sides of triangle ABC satisfying log(1+c/a) + log a â€“ log b = log 2. Also a(1 â€“ x2) + 2bx + c(1 + x2) = 0 has two equal roots. Find the value of sin A + sin B + sin C. ...

For x Îµ (0, Ï€/2) and sinÂ xÂ =Â 1/3, if \sum_{n=0}^{\infty }\frac{sin(nx)}{3^{n}}=\frac{a+b\sqrt{b}}{c} then find the value of (a + b + c), where a, b, c are positive integers. ...

P.t. (1+x)3/4+( 1+5x) /(1x)2 = 2+ 29/4 x + 297/32 x2(nearly ...) ...

10 DISTINCT alphabetas are given. 5 letter words are to be formed . no. of ways in which at least one allphabet is repeated . is : ...

If the equation ax3+3bx2+3cx+d=0 has two equal roots,show that it must be equal to bcad/2(acb2) . ...