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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
In R the number of identity elements w.r.t.'.' is
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One
Two
Three
Four
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Question # 2
The sample space for tossing a coin twice is
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{H, T}
{HH, HT, TH, TT}
{H, T, HH}
{HH, HT, TT}
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Question # 3
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Question # 4
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0
1
undefined
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Question # 5
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None of these
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Question # 6
The number of real tangents that can be drawn to the ellipse 3x
2
+ 5y
2
= 32 passing thro. (3, 5) is
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0
1
2
Infinite
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Question # 7
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sec x tan x
-cosec x cot x
sec
2
x
-sin x
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Question # 8
If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is
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Question # 9
Derivative of strictly increasing function is always
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Zero
Positive
Negative
Both (A) and (B)
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Question # 10
For any real numbers x,y,xy=o ⇒
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x ≠ 0 ∧ y ≠ 0
x = 0 ∨ y = 0
x = 0
y = 0
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Question # 11
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Question # 12
Cos (cos4π/3)=
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π/2
π/3
2π/3
-π/3
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Question # 13
In R the left cancellation property w.r.t addition is
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Question # 14
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Question # 15
The value of sin 28°cos 17°+cos 28°sin 17°is
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Question # 16
The coefficient of x
18
in (ax
4
-bx)
9
after expansion is
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84a
3
b
6
22a
3
b
6
27a
4
b
5
28a
3
b
6
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Question # 17
The symbol of irrational is
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W
N
Q
Q
'
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Question # 18
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 19
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30°
60°
45°
None of these
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Question # 20
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Question # 21
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 # 22
The value of the expression 3 cosθ+ 4 sinθθlie between
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-7 and 7
-25 and 25
-1 and 1
-5 and 5
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Question # 23
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A
B
U
None of these
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Question # 24
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Question # 25
O is ______
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A positive integer
A negative integer
A natural number
An integer
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Question # 26
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2
1
5
0
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Question # 27
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 28
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Question # 29
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Question # 30
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360°
180°
90°
None of these
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Question # 31
A point of a solution regions where two of its boundary lines intersect, is called:
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Vertex of the solution
Feasible point
Point of inequality
Null point of the solution region
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