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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If a polynomial p(x) is divided by x-c, then the remainder is
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p(x)
x-c
c
P(c)
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Question # 2
Domain of y = cot x = ______
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Question # 3
If
u
=2
i
+p
i
+ 5
k
and
v
= 3
i
+
i
+p
k
are perpendicular , then p=
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1
2
-1
-3
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Question # 4
A - B = ______
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Question # 5
Period of cos 2x is ______
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Question # 6
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 7
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 8
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Question # 9
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Question # 10
Latus rectum = 4 x ______________
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focal distance of the vertex
Chord
Focus
1/2
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Question # 11
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 12
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 13
Domain of cot
θ
is
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Question # 14
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Imaginary
Rational
Irrational
Real numbers
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Question # 15
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 16
If f(x) = x
2
then f(-2) is
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-2
2
4
-4
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Question # 17
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Question # 18
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 19
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a-b=ab
ab=a
a+b=ab
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Question # 20
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 21
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 22
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 23
Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is
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9028
9208
9802
9820
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Question # 24
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 # 25
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 26
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Question # 27
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Question # 28
Three unbiased coins are tossed. Then the probabilities of getting two heads is
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3/8
1/8
1/4
None of these
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Question # 29
If distance of (a,b) from x-axis is 2 then
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a = 2
b = 2
a = b
b = 4
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Question # 30
By expressing sin 125° in terms of trigonometrical ratios, answer will be
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sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 31
Which is not included in the domain of cos
-1
x
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0
1
-1
2
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