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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The negative square root of 9 can be written as:
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-√9
√9
√18
-√18
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Question # 2
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 3
If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be
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Hyperbola
Parabolas
Ellipses
None of these
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Question # 4
Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0
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(1,0)
(0,4)
(3,0)
(8,0)
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Question # 5
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 6
Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is
Choose an answer
48 / 663
24 / 663
12 / 663
None of these
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Question # 7
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 # 8
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 9
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x
-2
+ c
not possible
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Question # 10
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Question # 11
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Question # 12
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 13
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Question # 14
What is the circular measure of the angle between the hands of a watch at 4 O'clock
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Question # 15
The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence
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4/63
5/9
45/49
None of these
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Question # 16
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Question # 17
If f(x) = cos x then f(0) is
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0
1
1/2
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Question # 18
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 19
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Question # 20
(7,9) +(3,-5) =
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(4,4)
(10,4)
(9,-5)
(7,3)
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Question # 21
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 22
If n∈Z+ then(a+x)n is a/an
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Finite series
Convergent series
Infinite series
Divergent series
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Question # 23
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Question # 24
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Question # 25
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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Question # 26
The solution set of the equation 1 + Cos x = 0 is __________
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none of these
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Question # 27
sin 3a = ______;
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3sin a - 4sin3a
4sin a -3 sin3 a
3 cos3 a -cosa
4cos3 a - 3cos a
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Question # 28
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Question # 29
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Question # 30
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0
1
-2
10
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Question # 31
The set {1, 2, 3, 4, ....} is called
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Set of Natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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