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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
Choose an answer
-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 2
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
Choose an answer
4
64
8
All values of k
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Question # 3
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Question # 4
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 5
The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is
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0
1
-1
h
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Question # 6
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Question # 7
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Question # 8
Choose an answer
No solution
One real solution
More than one real solution
None of these
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Question # 9
Which of the following is a vector.
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distance
temperature
energy
acceleration
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Question # 10
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0
1
2
4
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Question # 11
The set of natural is a semi group w.r.t
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Addition
Division
Subtraction
None of these
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Question # 12
The set {-1,1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 13
The set of integers is a subset of
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The set of natural numbers
The set of whole numbers
The set of prime numbers
The set of rational numbers
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Question # 14
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Question # 15
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 16
How many arrangements of the letters of the word MATHEMATICS can be made
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Question # 17
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30°
45°
60°
75°
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Question # 18
If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:
Choose an answer
y
2
= -4 ax
x
2
= 4ay
x
2
= -4ay
y
2
= 4ax
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Question # 19
The multiplicative inverse of 2/3 is
Choose an answer
3/2
-2/3
-3/2
1
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Question # 20
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
Choose an answer
32
31
64
1024
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Question # 21
∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a
Choose an answer
Symmetric property
Cancellation property w.r.t multiplication
Reflexive property
Transitive property
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Question # 22
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Question # 23
Which of the following is the subset of all sets?
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Question # 24
In one hour, the hour hand of a clock turns through
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Question # 25
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 26
Choose an answer
x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 27
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Question # 28
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 29
Cos-1(x)=
Choose an answer
cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 30
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 31
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