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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Let A be a square matrix. Then, 1/2 (A-A') is
Choose an answer
Skew-symmetric
Symmetric
Null
None of the above
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Question # 2
(x-1) is a factor of
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2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 3
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 4
The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of
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Square
Parallelogram
Rectangle
Trapezium
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Question # 5
∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a
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Symmetric property
Cancellation property w.r.t multiplication
Reflexive property
Transitive property
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Question # 6
(1, 1) is the in the solution of the inequality
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3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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Question # 7
if the value of the sphere, v =4/3πr
2
,
then the which of the following statement is true?
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r is the function of v
v is the function ofπ
π is independent variable
None of these
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Question # 8
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Question # 9
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1
2
3
4
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Question # 10
If for the matrix A,A5 = 1,then A-1=
Choose an answer
A2
A3
A
None of above
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Question # 11
Domain of 2 cos x is ______
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[-2, 2]
R
Negative real numbers
None of these
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Question # 12
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Question # 13
x = 1 is in the solution of the inequality
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x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 14
If n is a negative integer n! is
Choose an answer
1
0
Unique
Not defined
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Question # 15
The number of the diagonals of a 6 sided figure is
Choose an answer
15
21
9
6
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Question # 16
Tan 30° = _____
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Question # 17
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 18
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Question # 19
The general equation of a circle is
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Question # 20
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Question # 21
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Question # 22
The tangents drawn from the point P to a circle are real and coincident if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 23
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Question # 24
Tan 2
θ=
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Question # 25
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none of these
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Question # 26
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π
π / 2
π / 3
π / 4
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Question # 27
The set of natural numbers is a subset of
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{1, 2, 3, .... 100}
The set of whole numbers
{2, 4, 6, 8, .....}
None of these
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Question # 28
Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21
Choose an answer
-3x + 4y =21
4x - 3x = 0
-3x + 4y = 25
None of these
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Question # 29
Two unbiased dice are thrown. The probability that the total score is > 5 is
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1 / 18
7 / 18
13 / 18
11 / 18
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Question # 30
The period of sin x/2 = Cos x/3 is
Choose an answer
2p
12p
13p
7p
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Question # 31
The extraction of cube root of a given number is a
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Unary Operation
Binary Operation
Relation
None of these
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