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A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1.What is the value of f (x) at x = 10
–180
–159
–119
–110
If x, y and z are odd integers which of the following is necessarily false
xyz is odd
(x – y ) (z + y ) x is even
(x – y – z ) (x + z ) is odd
( x – y) z is even
On the xy-coordinate plane, points A and B both lie on the circumference of a circle whose center is O, and the length of AB equals the circle\'sdiameter.
If the (x,y) coordinates of O are
(2,1) and the (x,y) coordinates of B are
(4,6), what are the (x,y) coordinates of A
(0, -4)
(1, 2/2)
(3, 3/2)
(2/2, 1)
Find the coordinates of the point which divides the line joining
(5, -2) and
(9,
6) internally in the ratio 1 : 3
(0, 6)
(6, 3)
(6, 0)
(3, 6)
Ujakar and Keshab attempted to solve a quadraticequation.
Ujakar made a mistake in writing down the constantterm.
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
(4, 3)
(6, 1)
(–4, –3)
(–3, –4)
If ABC is a right angle triangle with angle A = 900 and 2s = a + b+ c, where a > b > c where notations have their usual meanings, then which one of the following is Correct
4s (s - a) (s - b) (s - c) = bc
(s - a) (s - c) > s (s - b)
(s - b) (s - c) > s (s - a)
(s - a) (s - b) < s (s - c)
If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer
x - yz
x(y + z)
(x - y) (y - z)
xyz
Two identical circles intersect so that their centres, and thepoints at which they intersect, form a square of side 1 cm. The area insq cm of the portion that is common to the two circles is
(π/2)-1
NONE OF THESE
π/4
π/5
If x, y and z are real numbers such that: x y z =5 and xy yz zx = 3, what is the largest value that x can have
\\/19
5/3
NONE OF THESE
13/3
A portion of $7200 is invested at a 4% annual return, while the remainder is invested at a 5% annualreturn.
If the annual income from both portions is the same, what is the total income from the two investments
$160
$720
$400
$320
Mr. Johnson was to earn £ 300 and a free holiday for seven weeks'work.
He worked for only 4 weeks and earned £ 30 and a freeholiday.
What was the value of the holiday
£ 300
£ 330
£ 420
£ 360
If f(x) = x3 – 4x p , and f(0) and f
(1) are of opposite sings, then which of the following is necessarily true
0 < p < 3
–2 < p < 1
–3 < p < 0
–1 < p < 2
The G.C.D. of 1.08, 0.36 and 0.9 is
0.9
0.108
0.03
0.18
|x2-y2| = 0.1 and |x-y| = 0.2, then the value of |x| +|y| is
0.4
0.2
0.6
0.36
15, 0.3, ____, 1.2, 2.4, ... What number should fill the blank
0.9
0.6
0.006
4.8
P is the product of all the prime numbers between 1 to100.
Then the number of Zeroes at the end of P are
NONE OF THESE
24
1
When 2256 is divided by 17 the remainder would be
12
1
16
14
The rightmost non-zero digit of the number 302720is
1
7
9
3
If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds
100 km
1000 km
1 billion km
1 million km
In 14lt mixture ratio of water to alcohol is 3:4 and half of the liquid is replaced by liquid with water to alcohol ratio 4:3, then resultant ratio of water to alcohol is
NONE OF THESE
1:1
5:2
2:3
1
2
17
34
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