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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The solution set of trigonometric equation contains
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one element
two elements
three elements
Infinite elements
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Question # 2
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Question # 3
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 4
The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is
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1/5
2/5
1/10
3/10
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Question # 5
Arithmetic mean between 14 and 18 is
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16
17
15
32
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Question # 6
The sum of first 60 natural numbers is
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1830
3660
1640
1770
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Question # 7
If C={p/p < 18, p is a prime number}, then C =
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{2,3,4,.........17}
{2,4,6,8................16}
{1,3,5,7,9,11,13,15,17}
{3,6,9,12,15}
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Question # 8
graph of trigonometric function y = sec x does not meet
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x - axis
y -axis
both axis
None of these
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Question # 9
The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0
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Same side
P above and origin below
Opposite side
P below and origin above
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Question # 10
The interval in which f(x)=x3-6x2+9x is increasing
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1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 11
Rational number is a number which can be written as a terminating decimal fraction or a
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Non-terminating decimal fraction
Non-recurring
Recurring decimal fraction
a, b and c
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Question # 12
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Question # 13
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1
2
3
4
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Question # 14
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 15
If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =
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5
{-3,-2,-1,0,1,2,3,4,5,6}
8
9
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Question # 16
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 # 17
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Question # 18
If n is add the expansion (a + x)
n
has middle terms
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2
3
4
5
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Question # 19
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Question # 20
The parametric equation of a curve are x = t
2
, y = t
3
then
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Question # 21
ab > 0 and a > 0 then
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a > b
a < b
a = b
None
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Question # 22
A series consisting of an unlimited number of terms is termed as an
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Finite sequence
Infinite sequence
Infinite series
geometric sequence
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Question # 23
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A
-
A
t
-A
A
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Question # 24
Area of inscribed circle is
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π R2
π η2
π r22
π r2
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Question # 25
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Question # 26
The harmonic mean between a and b is
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Question # 27
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3
6
0
None of these
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Question # 28
n!/(n-1)!=
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n
n!
(n-1)!
0!
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Question # 29
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Question # 30
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 31
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