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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Any recurring decimal represents a
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Irrational no
Integer
Rational no
None of these
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Question # 2
The series obtained by adding the terms of a geometric sequence is called
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Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 3
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 4
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Question # 5
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 6
n! > 2
n
-1 is true when
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n≤ 3
n≤ 6
n≥ 4
n≤ 6
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Question # 7
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
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3
-3
2
0
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Question # 8
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 9
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Question # 10
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Question # 11
In R the number of identity element w.r.t '+' is
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One
Two
Three
Four
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Question # 12
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Question # 13
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Question # 14
If the exponent in the binomial expansion is 6, then the middle term is
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2nd term
3rd term
4th term
5th term
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Question # 15
Period of sin 3x is ______
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Question # 16
If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that
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x is function of y
y is a function of x
y is independent variable
x is real valued function
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Question # 17
Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is
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Question # 18
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 19
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 20
{1, 2, 3} is _____
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an infinite set
A finite set
A singleton set
Universal set
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Question # 21
w
29
= ______
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0
1
w
w
2
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Question # 22
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π
2π
π/2
None of these
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Question # 23
If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:
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10
5
0
20
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Question # 24
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0
U
u/2
log u
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Question # 25
The equation of the normal to the circle x
2
+ y
2
= 25 at (4, 3) is
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3x - 4y =0
3x - 4y =5
4x + 3y = 5
4x + 3y = 25
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Question # 26
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 27
The set of whole numbers is subset of
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The set on integers
The set of natural numbers
{1, 3, 5, 7, ....}
The set of prime numbers
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Question # 28
For each natural number n, n (n+1) is
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an even
an odd
multiple of 3
Irrational
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Question # 29
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Question # 30
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
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Question # 31
Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is
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