A to Z Exams

A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible.

If 7s + 2e = 14 and s – 2e = 5, then what is the value of s?

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 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 ?

Find tan 9 − tan 27 − tan 63 + tan 81 ( all angles in degrees)

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:

Solve the following equation 3s + 5 = s – 1

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

If r(x) is the remainder obtained by dividing a polynomial p(x) by another polynomial q(x), then

[{√196-√64}*-2.5]=(?)  

A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrical opposite fixed gates A and B on the boundary is 7 meters. The distance of the pole from one of the gates is:

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

s varies directly as the square of p. When s = 3.5, p = 0.5 If s = 90, then c would be equal to

If h = 2/3 and k = 6 then k/h + 4/h2 =

If x = 1 – q and y = 2q + 1, then for what value of q, x is  equal to y?

If x2 + 1/x2 = 51 , then the value of x-1/x is

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

If α, β are the roots of (x –√ 3) (x –√ 5) =√ 7, the roots of (x –α) (x –β) +√ 7= 0 are

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

3x=5y=45z, then

The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is

A singles tennis tournament is held, in which 30 men participated. If a player is eliminated as soon as he loses a match, how many matches are required to determine the winner

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

The sum of X and Y's age is 105. When X was Y's age, she was 1.5 times Y's age then what are their present ages?

Which of the following is true?

If 8e + 2p = 12 and y – 3p = 4, then what is the value of y?

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

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

Solve the following equation 3 (x + 2) + 5 (x + 6) = 56

A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?