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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
100
99
0
none of these
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Question # 2
Two quadratic equation in which xy term is missing and the coefficients of x
2
and y
2
are equal, give a linear equation by ______
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Addition
Subtraction
Multiplication
Division
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Question # 3
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Question # 4
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 5
The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is
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2
1
0
None of these
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Question # 6
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 7
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 8
For all points (x,y) in second quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 9
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
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65
67
71
75
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Question # 10
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2 b
2 a
2 ab
a + b
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Question # 11
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Question # 12
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Question # 13
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Question # 14
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 15
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Question # 16
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 17
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 18
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 19
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Rational
Irrational
Even
Odd
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Question # 20
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 21
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 22
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 23
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Question # 24
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-2x
3
2x
-3
-2x
-3
2x
3
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Question # 25
All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is
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NAAGI
NAAIG
IAANG
INAGA
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Question # 26
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 # 27
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 28
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1
2
3/2
5/2
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Question # 29
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None of these
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Question # 30
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-2
-1
1
2
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Question # 31
If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is
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1 / 66
3 / 66
19 / 66
47 / 66
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