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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 2
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Question # 3
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Question # 4
The value of sin
2
20° + sin
2
70° is equal to
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1
2
-1
1/2
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Question # 5
The sixth term of the sequence 1,3,12,60....is
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1500
72
2160
2520
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Question # 6
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Question # 7
The first three terms in the expansion of (1 - x)
-2
are
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 - 2x +3x
2
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Question # 8
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Question # 9
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Question # 10
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 11
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Question # 12
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 13
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
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-a
a
a/2
0
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Question # 14
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
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(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 15
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-3 -2i
3 +2i
1 + 2i
1 - 2i
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Question # 16
0! = ______
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0
1
2
Not defined
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Question # 17
150°= ______
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Question # 18
If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 19
The contra positive of p → q is
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q → p
~q→~q
~p→~q
None of these
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Question # 20
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Question # 21
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Question # 22
A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is
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73 / 120
83 / 120
67 / 120
43 / 120
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Question # 23
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Question # 24
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none of these
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Question # 25
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6x + 2 + c
6x + x
2
+ c
6x
3
+ x
2
+ x
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Question # 26
The formula an = arn-1represents
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nth term of G.P
Sum of the first n terms
G.M between a and b
None of these
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Question # 27
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-2
-1
1
2
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Question # 28
The extraction of cube root of a given number is a
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Unary Operation
Binary Operation
Relation
None of these
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Question # 29
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 30
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Question # 31
The first three terms in the expansion of (1 - x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x +x
2
1 - x + x
2
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