If 3x – 4y + z = 7; 2x – z + 3y = 19; x + 2y + 2z = 24, then what is the value of z ?
4
5
6
8
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?
University of Virginia
University of Pennsylvania.
Northwestern University
University of California - Berkeley
If a + b = 0, then (1 + xa)-1 + (1 + xb)-1 - xa+b =
0
x
1
ab
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
1%
5%
6%
3.5%
If (z – 5) = 4z – 8, then which of the following could be the value of z?
65
98
57.98
2
78
Find tan 9 − tan 27 − tan 63 + tan 81 ( all angles in degrees)
3
none of these
If a + b + c = 3, a2 + b2 + c2 = 9, a3 + b3 + c3 = 24 , Then find a4 + b4 + c4
27
69
24
36
If the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a
15 I/2 %
18 1/2 %
14%
If x varies as y2 + 2 and is equal to 36 when y = 4, find x when y = 12.
158
224
258
292
Which of the following is true?
The second round issues have a higher maturity than the first round for all dates.
The second round issue of any date has a lower maturity only when the first round notified amount exceeds that of the second round.
On at least one occasion, the second round issue having lower maturity received a higher number of competitive bids.
None of the above three statements is true
if (64)2 - (36)2 = 10x, then x = ?
200
220
210
280
If ( p - q) 2 = ( x – y ) 2, then x =
p–q+y
y – p + q
Both ( a) and (b)
None of these
For prime numbers p and q, p + q = 102 and p > q. What is the least possible value of p − q?
12
16
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 ?
3l - 2m + 7n = 0
3l - 2m - 7n = 0
3l + 2m - 7n = 0
2l + 3m + 7n = 0
2l + 3m - 7n = 0
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
70 paise
60 paise
80 paise
1 rupee
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
a2+ 9a – 20
a2– 9a + 20
a2 + 9a + 20
a2– 9a – 20
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 = ?
7
11
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?
[5,∞)
(-∞,5)
(5,∞)
(-∞,5]
If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0
only when m = n
only when m ≠ n
only when m = -n
for all m and n
If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is
R
(-6,-4)
[-6,-4]
R-[-6,-4]
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?
1.6
0.78
6/8
89
656
If u(m) =3m2+ 2 then what is the value of u(m + 4)?
23/7
74
2x2+ 16x +34
If h = 2/3 and k = 6 then k/h + 4/h2 =
323
76
10
2346
(3080 + 6160) +28 = ?
320
440
3320
3350
If x=2+22/3+21/3, then which of the following is true?
2x3+6x-2x2+3=0
6x3 x2-12+6=0
x3-6x2+6x-2=0
x3-12x2+x-4=0
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
abc
(xyz)abc
What is the minimum value of the expression 2x2+3y2-4x-12y+18?
18
-10