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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If x
4
- 10x
2
- 2x + 4 is divided by x + 3, then the reminder is
Choose an answer
1
0
4
None of these
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Question # 2
The sum of first 60 natural numbers is
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1830
3660
1640
1770
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Question # 3
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Question # 4
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2
4
6
8
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Question # 5
the curve of the parabola y
2
= -4ax is symmetric with respect to
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x -axis
y - axis
Botha x and y- axis
None of thes
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Question # 6
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Question # 7
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 8
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 9
How many arrangements of the letter of the word PAKPATTAN can be made
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Question # 10
The number of points of intersection of two curves y = 2 sin x and y = 5x
2
+ 2x + 3 is
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0
1
2
None of these
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Question # 11
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 12
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 # 13
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 14
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Question # 15
Name the property used in a (b-c) = ab - ac
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commutative property of multiplication
distributive property of multiplication
associative property of multiplication
multiplicative inverse
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Question # 16
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Question # 17
x = r2, y = 1 are the parametric equation of
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Circle
Hyperbola
Ellipse
Parabola
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Question # 18
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Question # 19
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R
2R
r
2r
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Question # 20
An event having more than one sample point is called
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Certain event
Compound event
Simple event
None
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Question # 21
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 # 22
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Question # 23
If a, b, c, d, e, f are in A.P.,then e-c is equal to
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2(c - a)
2(f - d)
2(d - c)
d - c
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Question # 24
Root of the equation 3
x-1
+ 3
1-x
= is
Choose an answer
2
1
0
-1
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Question # 25
If a parabola opens down, then its vertex is at the
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Right of the parabola
Left of parabola
Lowest point on the parabola
Highest point on the parabola
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Question # 26
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Less then 1
Equal to 1
Greater than 1 but less then 2
Greater then or equal to 2
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Question # 27
The value of the expression 3 cosθ+ 4 sinθθlie between
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-7 and 7
-25 and 25
-1 and 1
-5 and 5
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Question # 28
Choose an answer
0
1
2
None of these
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Question # 29
Digit in the unit place of the number 183! + 3
183
Choose an answer
7
6
3
0
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Question # 30
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 31
Choose an answer
0
-1
1
not defined
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