A to Z Exams

The difference in the money between A and B is Rs.1450.C has money twice of B and difference in the money between A and C is Rs.700.So the amount with A is?

If x varies as y2 + 2 and is equal to 36 when y = 4, find x when y = 12.

The system of equations x + 2y = 3 and 2x + 4y = 3, has

If 2x + 3y -31, y – z - 4 and x + 2z – 11, then what is the value of x + y + z ?

The number of non-negative real roots of 2x – x – 1 = 0 equals

If logx/(a2+b2+ab) = logy/(b2+c2+bc) = logz/(c2+a2+ac) then, the value of x(a-b).y(b-c).z(c-a) is

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)3 = z (y + z)3 = x (z + x)3 = y

[{√196-√64}*-2.5]=(?)  

If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0

If ( p - q) 2 = ( x – y ) 2, then x =

Ujakar and Keshab atternplted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the original quadratic equation?

If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

Which of the following is true?

If a + b + c = 3, a2 + b2 + c2 = 9, a3 + b3 + c3 = 24 , Then find a4 + b4 + c4

When x5– 5x4+ 9x3– 6x2– 16x + 13 is divided by x2 – 3x + a, the quotient and the remainder are x3 2x2+ x + 1 and  – 15x + 11, respectively. The value of a is equal to

If x=1+2a+3a2+4a2+……( -1 < a < 1 ) and y=1+3b+6b2+10b3+……( -1 < b < 1 )then find 1+ab+(ab)2+(ab)3+….. in terms of x and y.

H.C.F. of two polynomials is a + 5 and their L.C.M. is (a + 5) (a + 4) (a – 1). If one of the polynomial is a2+ 4a – 5,then the other polynomial is

If 8a + 4b = 11 and 2a + 4g = 5. The value of b = 2. You need to find the value of a and g.

If  a * b – 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to:

 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

Let tan θ = tan 10 − tan 50 + tan 70 then θis ?( all angles in degress)

If a = log2, b = log 3 and c = log 7 then find the value of log67 in terms of a, b and c.

If 2p + 3q = 18 and 2p – q  =2, then 2p + q =?

If l + m + n=0, which of the following conditions must l, m and n satisfy so that the system of simultaneous linear equations x + 3y -4z = l, 2x - y - z = m, x + y - 2z = n has at least one ?

If x + y = 2, xy = 1, then the values of x and y are respectively

Let x and y be consecutive integers. Suppose m be the number of solutions of x3 − y3 = 3k2 and n be the number of solutions of x3 − y3 = 2t2,where k, t are integers. Then m + n equals:

If 2x – ky + z = 0 is a factor of 9y2– z2 – 2xz + 6xy, then the value of k is equal to

If a=b2-b,b34,then a2 -2a is always divisible by

The g.c.d. of x3 + x2 – x – 1 and x2 – 1 is