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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 3
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 4
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Question # 5
The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is
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Question # 6
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Question # 7
The minimum value of the quadratic function f(x) = 5 x 2-11,is
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7
-7
6
-11
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Question # 8
For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?
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3a2
2a2
2a
-7a
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Question # 9
The function whose range consists of just one element is called
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One-One Function
Identity Function
Onto Function
Constant Function
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Question # 10
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Question # 11
The number of permutation that can be formed from the letters of the word OBJECT is
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700
600
720
620
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Question # 12
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 # 13
The period of the trigonometric function y = sin x cos x is
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2π
π
4π
π / 2
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Question # 14
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 # 15
Product of any n consecutive positive integers is divisible by
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n
√n
n!
None
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Question # 16
The line through the centre and perpendicular to the transverse axis is called the
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Major axis
Minor axis
Focal axis
Conjugate axis
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Question # 17
Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is
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44/4165
22/4165
11/4165
None of these
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Question # 18
If n is a positive integer then n! is
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(n - 1) (n - 2) .....3,.2.1
n(n - 1) (n - 2) ...3.2.1
n(n - 1 ) ( n -2) ... 3
None of these
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Question # 19
How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?
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Question # 20
The number of combinations of 10 different objects taken 8 objects at a time is
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90
45
55
50
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Question # 21
Two unbiased dice are thrown. The probability that the total score is > 5 is
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1 / 18
7 / 18
13 / 18
11 / 18
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Question # 22
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R
2R
r
2r
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Question # 23
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2
5
7
None of these
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Question # 24
A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is
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Question # 25
The inclination of a line parallel to y-axis is
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Question # 26
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 27
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Question # 28
Domain of cosec
θ
is
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Question # 29
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 30
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Principle of equality of Fractions
Rule for product of fraction
Golden rule of fraction
Rule of quotient of Fraction
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Question # 31
If f(x) = x
2
- x then f(2) is
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4
6
2
0
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