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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 2
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
Choose an answer
1
2
0
-2
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Question # 3
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 4
If 4
6
P
r
=
6
P
r+1
, then r is equal to
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4
3
2
1
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Question # 5
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 6
f(x) = x is
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trigonometric function
exponential function
quadratic function
identify function
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Question # 7
The sample space for tossing a coin twice is
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{H, T}
{HH, HT, TH, TT}
{H, T, HH}
{HH, HT, TT}
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Question # 8
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 9
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1
12
5
29
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Question # 10
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 11
The multiplicative inverse ofx^(-1) is
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x
a-2
0
1
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Question # 12
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0
1
1/2
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Question # 13
Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is
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1/4
1/2
1/3
1/7
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Question # 14
A and B throw a dice. The probability that A's throw is not greater then B's is
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5 / 12
7 / 12
1 / 6
1 / 2
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Question # 15
The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by
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2, -3, 4
6, -4, -3
6, -4, 3
3, -2, 1.5
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Question # 16
The inclination of a line parallel to x-axis is
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Question # 17
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Question # 18
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 19
For all points (x,y) in third quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 20
w
11
= ______
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0
1
w
w
2
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Question # 21
The upper 3/4 the portion of a vertical pole subtends an angle tan
-1
3/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is
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20 m
40 m
60 m
80 m
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Question # 22
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
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k=0
k=1
k=w
k=w2
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Question # 23
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Question # 24
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 25
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Question # 26
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 27
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 28
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 29
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 30
The function ø(x) is ananti derivativeof function f (x),x∈Df if
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ø′(x) =∫f(x)dx
ø(x) =∫f(x)dx
ø′(x) =f(x)
ø(x) =∫′(x)dx
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Question # 31
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square root function
identity function
linear function
quadratic function
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