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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The tangents drawn from the point P to a circle are real and distinct if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 2
A line segment whose end points lie on a circle is called
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The secant of the circle
The arc of the circle
The chord of the circle
The circumference of the circle
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Question # 3
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Question # 4
In the function f: A⟶B, the elements of a are called
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Images
Pre-images
ranges
Parameters
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Question # 5
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 6
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 # 7
Which element is the additive inverse of (a,b) in Complex numbers
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(a,0)
(0,b)
(a,b)
(-a,-b)
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Question # 8
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Question # 9
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 10
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Question # 11
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a-b=ab
ab=a
a+b=ab
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Question # 12
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Question # 13
u,v,wand u x (v.w) are
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Equal
Parallel
Additive immense of each other
Meaningless
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Question # 14
If A and B are two sets then intersection of A and B is denoted by
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Question # 15
If y = 2x , then
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y1 -ln2y = 0
y2-(ln2)2 y = 0
y2-(ln2)y1 = 0
All are correct
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Question # 16
One minute is denoted by
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1
0
1'
1"
None of these
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Question # 17
In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages
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45
30
25
50
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Question # 18
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 19
If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____
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[a.b.c]
2[a,b,c]
[abc]-2
2[abc]2
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Question # 20
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Question # 21
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Question # 22
Which of the following is skew symmetric matrix
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Question # 23
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4A - 3I
3A - 4I
A - I
None of these
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Question # 24
probability of a certain event is
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0
-1
1
∞
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Question # 25
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8
9
10
11
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Question # 26
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 # 27
Period of sec x is ______
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Question # 28
In how many ways can 5 persons be seated at a round table
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5!
4!
3!
120
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Question # 29
Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is
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1/4
1/2
1/3
1/7
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Question # 30
If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the centre of the circle is
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1
0
1'
1"
1 rad
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Question # 31
Which of the following is a vector
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length
momentum
volume
speed
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