A to Z Exams

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

 If g = log, (ax) then pz =

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

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.

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

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

P lent Rs.600 to Q for 2 years and Rs.150 to R for 4 years and received altogether from both Rs.90 as interest. Find the rate of interest, simple interest being calculated

The number of positive integers n in the range 12  ? n? 40 such that the product (n – 1) (n –2)…3.2.1 is not divisible by n is 

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

What is the minimum value of the expression 2x2+3y2-4x-12y+18?

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

If the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a

23.999 X 9.004 X 16.997 =?

If n(x) = x2 - 10x, then n(-10) =

What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values

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 4x + 5y = 83 and 3x/2y = 21/22 how much is y – x

If 1 + 2 + 22 + 23 +.......+ 250 is divided by 7, what will be the remainder?

If x = 3 –  √5 , then the value of x2+16/x2 is equal to

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

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

The number of solutions of x2 - 5|x| + 6 = 0 is

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 ( p - q) 2 = ( x – y ) 2, then x =

Which of the following value of x do not satisfy the inequality (x² - 3x + 2 > 0) at all?

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

(xn - an) is completely divisible by (x - a), if

If  x *y=x2 + y2 – xy, then the value of 9*11 is:

3x=5y=45z, then