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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If n is a positive integer then n! is
Choose an answer
(n - 1) (n - 2) .....3,.2.1
n(n - 1) (n - 2) ...3.2.1
n(n - 1 ) ( n -2) ... 3
None of these
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Question # 2
In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are
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6, 10
-6, -10
8, 8
-8, -8
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Question # 3
3x + 4 > 0 is
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equation
identity
inequality
none of these
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Question # 4
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0
1
-1
undefined
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Question # 5
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1
-1
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Question # 6
The area between the x-axis the curve y =4x-x2 is :
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32/2
15
18
21
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Question # 7
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Question # 8
Domain of 3 sin x is ______
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[-3, 3]
R
Positive real numbers
None of these
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Question # 9
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
Choose an answer
p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 10
Choose an answer
Always negative
Zero
Always positive
Infinity
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Question # 11
The 8th term of (1+2x)
-1/2
is
Choose an answer
-221/16 x
7
-225/18 x
7
-407/9 x
3
-429/16 x
7
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Question # 12
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Question # 13
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
1
- Z
2
| = ?
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Question # 14
A ________ divides the plane into left and right half planes.
Choose an answer
Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 15
Choose an answer
20
10
0
None of these
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Question # 16
A,G,H are in
Choose an answer
A.P
G.P
H.P
None of these
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Question # 17
For a set A, A∪Ac= ---------------------
Choose an answer
A
∅
Ac
U
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Question # 18
If f(x) = x
2
- x then f(2) is
Choose an answer
4
6
2
0
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Question # 19
the curve of the parabola y
2
= -4ax is symmetric with respect to
Choose an answer
x -axis
y - axis
Botha x and y- axis
None of thes
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Question # 20
If #n = (n-5)2 + 5, then find #3 x #4.
Choose an answer
54
12
4
9
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Question # 21
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Question # 22
If P is a whole number greater than 1, which has only P and I are factors. Then P is called
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Wholw number
Prime number
Even number
Odd number
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Question # 23
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Question # 24
If A = {2m/m
3
= 8 , m€ Z} then A =
Choose an answer
{1,8,27}
{4}
(2,4,6}
{2,16,54}
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Question # 25
If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:
Choose an answer
x
2
= 4y -32
x
2
=8y -32
y
3
= 16 x
x2 + 8y =32
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Question # 26
If -1 < x < 0, which of the following statements must be true?
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x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 27
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Question # 28
∀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 # 29
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2
0
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Question # 30
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