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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0
Choose an answer
k=0
k=0 or 26
k = 26
k=-13
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Question # 2
Domain of cot
θ
is
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Question # 3
The mid point of the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 4
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Question # 5
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Question # 6
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Question # 7
8 . 7 . 6. 5 in factorial form is
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Question # 8
If G is the centroid of the triangle, then GA +GB+GC=
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0
1
-1
3
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Question # 9
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 10
1
0
= ______
Choose an answer
1.5 rad
0.5 rad
0.175 rad
None of these
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Question # 11
If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to
Choose an answer
n!
ann!
0
an
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Question # 12
Another name of quadratic equation is
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Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 13
Choose an answer
π / 3
π / 4
π / 2
π
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Question # 14
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Question # 15
√x = ______ if is a prime number
Choose an answer
Rational no
Natural no
Irrational no
Complex no
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Question # 16
cos(π/2-θ) = ________;
Choose an answer
cosθ
sinθ
-cosθ
-sinθ
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Question # 17
The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is
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Question # 18
Choose an answer
0
1
13
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Question # 19
The range of the tangent function is
Choose an answer
all real numbers
-1 ≤ x ≥ 1
natural number
z
+
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Question # 20
The study conics, pappus used the method of:
Choose an answer
analytic geometry Euclidean
solid geometry
Greek mathmaticians
None of these
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Question # 21
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 22
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
Choose an answer
AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 23
The square root of 2i - 20i is
Choose an answer
±(5 - 2i)
±(5+ 2i)
(5 - 2i)
None of these
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Question # 24
The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is
Choose an answer
1
0
1'
1"
1 rad
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Question # 25
A sequence is a function whose domain is
Choose an answer
N
Subset of N
R
None of these
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Question # 26
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
Choose an answer
3
4
5
None of these
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Question # 27
If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is
Choose an answer
Obtuse
Acute
Right angle
Isosceles
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Question # 28
If ΔABC is right triangle then the law of Cosines reduces to
Choose an answer
The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 29
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Question # 30
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:
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an ellipse
a circle
a parabols
a hyperbola
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Question # 31
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