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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The 7th term of (3
8
+ 6
4
x)
11/4
is
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-19217/3 x
6
189/2 6
4
x
2227/12 x
3
-19712/3 x
6
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Question # 2
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 3
If S is a sample space and event set E = S then P(E) is
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>0
1
<1
0
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Question # 4
Let the equation ax
2
- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be
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(5, 3, 1)
(4, 3, 2)
(5, 5, 1)
(6, 4, 1)
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Question # 5
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 6
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 7
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 8
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 9
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 10
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Question # 11
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 12
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
Choose an answer
d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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Question # 13
The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is
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120
100
140
160
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Question # 14
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 15
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Question # 16
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Question # 17
If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to
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150𝜊 20'
132𝜊 35'
101𝜊 25'
160𝜊 50'
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Question # 18
If the exponent in the binomial expansion is 6, then the middle term is
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2nd term
3rd term
4th term
5th term
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Question # 19
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 20
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 21
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 22
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 23
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 24
f(x) = x3-x/x2+1 is :
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 25
The greatest integer which divides the number 101
100
- 1 is
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100
1000
10000
100000
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Question # 26
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Question # 27
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
Choose an answer
2
9
2
10
2
11
2
8
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Question # 28
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 29
If y = 2x , then
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y1 -ln2y = 0
y2-(ln2)2 y = 0
y2-(ln2)y1 = 0
All are correct
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Question # 30
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Always negative
Zero
Always positive
Infinity
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Question # 31
Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
Choose an answer
46
60
50
70
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