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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 2
If 4 - x >5, then
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x > 1
x > -1
x < 1
x < -1
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Question # 3
cos 6θ + cos 2 θ =_______;
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-2sin 4θ sin 2θ
2cos4θ cos2θ
2sin4θ cos2θ
2cos4θ sin2θ
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Question # 4
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
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n, a, b
n, a
n, b
n
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Question # 5
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1
2
3
4
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Question # 6
The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is
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3
2
1
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Question # 7
A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is
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1/6
1/3
1/2
2/3
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Question # 8
√-1 b=
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b
2
2b
None of these
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Question # 9
120° degrees are equal to how many radians?
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Question # 10
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Question # 11
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 12
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 13
The term involving x4 the expansion (3-2x)7 is
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217 x4
15120x4
313x4
-25x4
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Question # 14
sin h x = ___________
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Question # 15
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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Question # 16
The middle term(s) of (a+x)11 is
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6th term
6thor 7th
7th term
6thand7th
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Question # 17
sec (-360°) = ______
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0
1
2
3
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Question # 18
Which of the following statement is true?
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A set is a collection of non-empty object
A set is a collection of only numbers
a set is any collection of things
a set is well-defined collection of objects
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Question # 19
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 20
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 21
If P is a proposition then its negative is denoted by
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Question # 22
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 # 23
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Question # 24
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1
-1
0
None of these
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Question # 25
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 # 26
tan(π-θ)=_____;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 27
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 28
Domain of y = cot x = ______
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Question # 29
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 30
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2 b
2 a
2 ab
a + b
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Question # 31
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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