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

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

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

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

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

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

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

Which of the following is true?

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

If ( p - q) 2 = ( x – y ) 2, then x =

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

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

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

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

If 4x + 5y = 83 and 3x/2y = 21/22, then y-x = ?

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 5x + 9 > 3x + 19, what is the range of values x can take?

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

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

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

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

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

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

(3080 + 6160) +28 = ?

If x=2+22/3+21/3, then which of the following is true?

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

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

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