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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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10
C
6
10
C
5
10
C
4
None
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Question # 2
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 3
For a set A, A∪Ac= ---------------------
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A
∅
Ac
U
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Question # 4
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 5
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Question # 6
Total number of subsets that can be formed out of the set {a,b,c} is
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1
4
8
12
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Question # 7
The law of sines can be used to solve oblique triangle when following information is given:
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Two angles and a side
Two sides and an angle opposite one of the given sides
Two sides and the angle between two sided
Option a and b
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Question # 8
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Question # 9
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 10
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 11
If n is any positive integer then n! > 2
n-1
for
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Question # 12
The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is
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1/5
1/4
1/3
1/2
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Question # 13
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Question # 14
The sets {1, 2, 4} and {4, 6, 8, 10} are
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Equal sets
Equivalent sets
Disjoint sets
Over lapping sets
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Question # 15
If y=f(x) is a function then y is called
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dependent variable
independent variable
constant
none of these
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Question # 16
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 17
w
-12
= ______
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0
1
w
w
2
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Question # 18
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Question # 19
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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Question # 20
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Associative law of multiplication
Commutative law of addition
Commutative law of multiplication
Associative law of addition
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Question # 21
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 22
If 4 > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
None of above
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Question # 23
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Question # 24
The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)
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I & III
I & IV
II & IV
II & III
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Question # 25
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Question # 26
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sin h x
cos h x
tan h x
cot h x
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Question # 27
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Question # 28
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 29
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Question # 30
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Question # 31
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