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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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30°
45°
60°
75°
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Question # 2
The quadratic equation 8 sec2θ - 6 secθ +1 =0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 3
Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is
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44/4165
22/4165
11/4165
None of these
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Question # 4
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none of these
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Question # 5
The distance between the points (0 , 0) and (1, 2) is
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5
0
3
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Question # 6
If a +b +c =0 then which of the following is true
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a =b =c =0
a,b =b,c =c,a
a xb=b xc =c xa
None
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Question # 7
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 8
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I
14 I
0
None of these
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Question # 9
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 # 10
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Question # 11
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 12
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 13
If sin A = cos A, 0°<A<90° then A is equal to
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1
1/2
0
None of these
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Question # 14
In one hour, the hour hand of a clock turns through
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Question # 15
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1/x
-x
2x
0.5 x
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Question # 16
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Question # 17
The directrix of y2 =-4ax is
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y =-a
y = a
x = a
x = -a
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Question # 18
The multiplicative inverse ofx^(-1) is
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x
a-2
0
1
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Question # 19
For two vector a and b, a+b = _______
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a b
b+a
b-a
None
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Question # 20
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square root function
identity function
linear function
quadratic function
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Question # 21
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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Question # 22
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 23
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A
A'
U
None of these
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Question # 24
an - an-1 will be common difference in an A.P if
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n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 25
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π
2π
π/2
None of these
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Question # 26
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 27
∛8.6 is approximately equal to
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2.488
2.48
2.0488
2.05
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Question # 28
The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is
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A parabola
A circle
An ellipse
A st. line
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Question # 29
(n + 2) (n + 1) n= ______
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Question # 30
One minute is denoted by
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1
0
1'
1"
None of these
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Question # 31
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