A to Z Exams

The factors of x2 + xy − 2 xyz −2z are:

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

For prime numbers p and q, p + q = 102 and p > q. What is the least possible value of p − q?

Which of the following is true?

6(3 – x) –5 (2x – 4) = 4(3x–) + 14In the above equation the value of x is:

If a1 = 1 and an+1 = 2an + 5, n = 1, 2 ...., then a100 is equal to :

Find the number of pairs of real numbers x, y such that (x2 + 8x +17)(y2 − 2y + 6) = 5

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

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

If X and Y are positive integers and X + Y = 1, what is the least value of (X+1/X)2 + (Y+1/Y)2 ?

If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is

If x + y = 2, then the value of x4 + y4 – x3 y2 – x2 y3+16xy is equal to

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

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

If k – 7 = 7 (1 – k), then what is the value of k?

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

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?

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?

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

If u(m) =3m2+ 2 then what is the value of u(m + 4)?

If a1=1 and an+1-3an+2 = 4n for every positive integer n, then a100 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

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

If e varies directly as n and e/d = 10, then what is the value of e when d = 30?

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

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

If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is

[148-{28-58}]≥(?)

. If the roots, x1,and x2, of the quadratic equation x2 - 2x + c = 0 also satisfy the equation 7x2 - 4x1 = 47, then which of the following is true?

A man purchased 40 fruits; apples and oranges for Rs 17. Had he purchased as many as oranges as apples and as many apples as oranges, he would have paid Rs 15. Find the cost of one pair of an apple and an orange