A to Z Exams

Find the number of solutions in positive integers (k; a1, a2, . . . , ak; b1, b2, . . . , bk) to the equation a1(b1) + a2(b1 + b2) + · · · + ak(b1 + b2 + . . . + bk) = 7

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

If (z – 5) = 4z – 8, then which of the following could be the value of z?

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

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

If the cube root of the square root of a number is 5, what is the number?

If a + b = 0, then (1 + xa)-1 + (1 + xb)-1 - xa+b =

If one root of ax2 + bx + c = 0 is double the other, then a, b, c are related as

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

if (64)2 - (36)2 = 10x, then x = ?

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

23.999 X 9.004 X 16.997 =?

If a sum of money at certain rate of interest doubles in 5 years and at a different rate of interest becomes 3 times in 12 years, the better rate of interest is

If xy = 96 and 3y = 2x, then what is the value of x

In 1994, students seeking jobs in finance earned Rs. _____ more than those opting for software (in lakhs)

If 3x – 4y + z = 7; 2x – z + 3y = 19; x + 2y + 2z = 24, then what is the value of z ?

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

Solve for real x: 6x2 + 5x - 6 ≥ 0

The value of 1/4 + 1/9 + 1/16 + ... +1/n2 is

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

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

If y(u) = 2u2 + 2 then what is the value of y, if u = 3?

Madhu has received admission in all schools listed above. She wishes to select the highest overall ranked school whose a) annual tuition fee does not exceed $23,000 and b) median starting salary is at least $70,000. Which school will she select?

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?

The ratio of ages of a father and son is 17:7 respectively. 6 years ago the ratio of their ages was 3:1 respectively. What is the father's present age?

If r varies directly as n and r/m = 10, then what is the value of r when m = 2.2?

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

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

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

If l(s) = 3s2 + 3s + 3, which of the following is equal to l(-3.5)?