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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Three dice are thrown together. The probability of getting a total of at least 6 is
Choose an answer
103 / 108
10 / 216
93 / 108
None of these
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Question # 2
The domain of the principle cos function is
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Question # 3
The solution of the equation cos
2
θ
+ sin
θ
+ 1 = 0 lies in the interval
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Question # 4
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 5
Multiplicative inverse of 0 is
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0
1
±1
Does not exist
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Question # 6
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Question # 7
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additive property
multiplicative property
additive inverse
additive identity
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Question # 8
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0
1
undefined
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Question # 9
Period of cosec x is ______
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Question # 10
2.333....is a
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Irrational no
Complex no
Rational no
None of these
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Question # 11
π
is the period of the function
Choose an answer
|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 12
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 13
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1
0
3
-3
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Question # 14
In R the right cancellation property w.r.t. addition is
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Question # 15
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 16
The first three terms in the expansion of (1 + x)
-2
are ______
Choose an answer
1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 17
The set of rational numbers is subset of
Choose an answer
The set of natural numbers
The set of real numbers
The set of integers
The set of whole numbers
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Question # 18
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
Choose an answer
9998
9999
10000
None of these
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Question # 19
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Question # 20
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2
x
2
x
In x
2
x
In 2
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Question # 21
If 4
6
P
r
=
6
P
r+1
, then r is equal to
Choose an answer
4
3
2
1
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Question # 22
If n is any positive integer ,t hen 2+4+6+......+2 n=
Choose an answer
2
n
-1
2
n
+1
n
2
+1
n(n+1)
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Question # 23
Choose an answer
none of these
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Question # 24
The angles with some initial and terminal sides are called
Choose an answer
Quadrantal angles
Coterminal angles
Allied angles
None
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Question # 25
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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Question # 26
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sin 2x + c
-sin 2x + c
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Question # 27
The set of positive integers, 0 and negative integers is known as the set of
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Natural numbers
Rational numbers
All integers
Irrational numbers
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Question # 28
If n is any positive integer then n! > n
2
for
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Question # 29
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Question # 30
Choose an answer
A finite non-empty set
Null set
Both a and b
None of these
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Question # 31
The period of cos(7x-5) is
Choose an answer
π/7
7π/2
π/2
2π/7
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