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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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1
2
-2
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Question # 2
Zero is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 3
i
9
=
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i
2
-1
1
i
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Question # 4
The identity element with respect to subtraction is
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0
-1
0 and 1
None of thes
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Question # 5
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 6
Which shape of the following objects are approximately parabolic ares?
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Light reflectors
Force
Weight of the pendul
None of these
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Question # 7
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 8
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 9
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 10
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 11
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 12
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
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(2,0)
(-2,0)
(4,0)
(-4,0)
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Question # 13
1.4142135... is ______
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A natural number
A rational number
A prime number
An irrational number
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Question # 14
In the expansion of (a + x)
n
the sum of exponents of a and x in each term of the expansion is
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n + 1
n - 1
n
2n
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Question # 15
The set X is
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Proper Subset of X
Not A subset of X
Improper Subset of X
None of these
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Question # 16
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 17
What is the period of 6 sin x=?
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π
-π
π/2
2π
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Question # 18
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none of these
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Question # 19
The sum of all 2 digit number is
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4750
3776
4895
4905
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Question # 20
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Question # 21
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 22
Arithmetic mean between a and b is
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Question # 23
The fifth term of the sequence a
n
= 2n + 3 is ______
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13
-13
8
3
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Question # 24
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Question # 25
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 26
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1.5
1.2
8
None of these
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Question # 27
In R the number of identity element w.r.t '+' is
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One
Two
Three
Four
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Question # 28
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none of these
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Question # 29
There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is
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7 / 25
9 / 25
11 / 25
None of these
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Question # 30
The expression x2 - x + 1 has
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One proper linear factor
No proper linear factor
Two proper linear factors
None of these
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Question # 31
If
α
,
β
are the roots of ax
2
+ bx + c = 0 and
α
+ h,
β
+ h are the roots of px
2
+ qx + r=0, then h =
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