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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
Choose an answer
8
-16
-64
16
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Question # 2
Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is
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1/4
1/3
1/2
1/6
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Question # 3
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Question # 4
f(x) = 3x
4
-2x
2
+ 7 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 5
Geometric mean between a and b is
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Question # 6
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 7
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Question # 8
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A
0
Unit vector
None
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Question # 9
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 10
H.M. between 3 and 7 is
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Question # 11
The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if
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A = B≠ 0
A≠ B and both are of same sign
A≠ B both are of opposite sign
Either A = 0 or B =0
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Question # 12
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Question # 13
Cos 60° = ______
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1
2
1/2
3
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Question # 14
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1
-1
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Question # 15
Period of sin x is
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Question # 16
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 17
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 18
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
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2
26
27
1
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Question # 19
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 20
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 21
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Question # 22
The complement of set A relative to universal set U is the set
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Question # 23
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Question # 24
The equation x2+ y2- 8x+ 6y+ 25= 0 represents
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A circle
A pair of straight lines
A point
None of these
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Question # 25
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Question # 26
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 27
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x
3
3x
2
3x
3
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Question # 28
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Question # 29
A circle which touches one side of a triangle extermally and the other two sides produced is called
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In-circle
Circumcircle
e-circle
Point circle
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Question # 30
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Free vector
Null vector
Unit vector
None of these
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Question # 31
The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is
Choose an answer
60𝜊
40𝜊
41𝜊
30𝜊
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