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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
sec (-360°) = ______
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0
1
2
3
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Question # 3
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Question # 4
√25 is a number
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Rational
Irrational
Natural
Odd
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Question # 5
The function f{(x, y) | y = ax
2
+ bx + c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 6
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-2x
3
2x
-3
-2x
-3
2x
3
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Question # 7
Three dice are thrown together. The probability of getting a total of at least 6 is
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103 / 108
10 / 216
93 / 108
None of these
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Question # 8
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Question # 9
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 10
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 11
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
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116 m
200 m
216 m
None of these
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Question # 12
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
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> or <
>
or
<
= or≠
= or >
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Question # 13
Sin 50°-sin 70°+sin 10° is equal to
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1
0
1/2
2
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Question # 14
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
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b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 15
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Question # 16
The period of the function f(x) = sin
4
x + cos
4
x is
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π
π
/2
2
π
None of these
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Question # 17
The sum of coefficients in the binomial expansion equals to
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2
2
n+1
2
n-1
2
n
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Question # 18
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 19
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 20
Multiplicative inverse of 0 is
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0
1
±1
Does not exist
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Question # 21
The roots of (b-c)x2+(c-a) x+a-b=0 are equal if
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2b = a+c
2a = b+c
2c = a+b
a + b + c =0
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Question # 22
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Question # 23
(a
-1
)
-1
=
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a
-1
a
-a
None of above
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Question # 24
How many arrangements of the letter of the word PAKPATTAN can be made
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Question # 25
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 26
The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
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x + y + z - 15 = 0
x - y + z - 15 = 0
x - y - z - 15 = 0
x + y + z + 15 = 0
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Question # 27
Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if
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c = 0
c = 0,b≠ 0
b = 0,c = 0
b = 0,c≠ 0
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Question # 28
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Question # 29
csc(-π/2) = __________;
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0
1
-1
Undefined
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Question # 30
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Question # 31
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