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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Associative law of multiplication
Choose an answer
ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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Question # 2
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 # 3
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Question # 4
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a = a
a < a
a > a
a
2
= a
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Question # 5
If n is any positive integer then n
2
> n + 3 for
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Question # 6
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 7
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Lies between 4 and 7
Lies between 5 and 9
Has no value between 4 and 7
Has no value between 5 and 9
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Question # 8
Choose an answer
N
r
2r
π
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Question # 9
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l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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Question # 10
Tan 2
θ=
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Question # 11
tan (-135°) = ______
θ
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0
1
2
3
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Question # 12
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 13
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2 and 9
3 and 2
2/3 and 9
3/2 and 6
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Question # 14
No term of a geometric sequence can be
Choose an answer
0
1
2
3
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Question # 15
Choose an answer
direction ratios
direction cosines
direction angles
none of these
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Question # 16
(2, 1) is in the solution of the inequality
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2x + y
>
7
x - y > 2
3x + 5y < 6
2x + y < 6
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Question # 17
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 18
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 19
The feasible region which can be enclosed within a circle is called
Choose an answer
Bounded region
Convex region
Unbounded region
None
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Question # 20
The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is
Choose an answer
1 / 10
2 / 10
3 / 10
4 / 10
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Question # 21
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
Choose an answer
A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 22
i
3
=
Choose an answer
-1
i
-i
1
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Question # 23
An improper rational fraction can be reduced by division to a
Choose an answer
Proper fraction
Polynomial
mixed form
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Question # 24
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(a + b)c = a . c + bc
a + b = b + a
(a + b) + c = a + (b + c)
a(b+ c) = ab + ac
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Question # 25
The third term of a G.P. is 4, The product of first five terms is
Choose an answer
43
45
46
None of these
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Question # 26
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 27
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
Choose an answer
{-1}
{-3/5}
Empty set
{-1/3}
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Question # 28
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 29
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Question # 30
Choose an answer
k3
0
3k
k6
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Question # 31
Sum of all the four forth roots of unity is
Choose an answer
1
-1
i
0
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