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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
I
14 I
0
None of these
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Question # 2
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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Question # 3
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 # 4
The conic is a parabola, when:
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ᡨ > 1
ᡨ < 1
ᡨ = 1
ᡨ = 0
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Question # 5
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A
A'
U
U'
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Question # 6
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 7
Additive inverse of - a - b is
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a
-a + b
a - b
a + b
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Question # 8
The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is
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12
π
9
π
7
π
-120
π
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Question # 9
(a+bi) - (c+di)=
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(a+b) = (c+d)
(a+c) + i(b+d)
(a - c) + (c- d)i
(a - c)+ (b - d)i
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Question # 10
The maximum value of the quadratic function f(x) = -2x2+20x,is
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4
3
50
7
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Question # 11
In order of A is m x n and order of B is n x p then order of AB is
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m x m
n x n
m x p
p x m
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Question # 12
How many arrangements of the letter of the word PAKPATTAN can be made
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Question # 13
Which of the following does not represent absolute value of a vector
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magnitude
length
norm
number
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Question # 14
A triangle has six
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side
elements
angle
tangents
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Question # 15
The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C
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1,2
-1,-2
2,-1
-2,1
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Question # 16
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I3
rI3
r
none
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Question # 17
an -an-1,βnβNβ§n>1 in an A.P is called
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Common difference
nth term
Common ratio
None of these
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Question # 18
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 19
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 20
The third term of a G.P. is 4, The product of first five terms is
Choose an answer
43
45
46
None of these
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Question # 21
For any two sets A and, A β B if
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x β A β x β B
x β A β x β B
x β A β x β B
None of these
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Question # 22
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Question # 23
Optimal solution is found by evaluation the objective function at
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All point of feasible region
Corner point
Origin
None
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Question # 24
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
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> or <
>
or
<
= orβ
= or >
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Question # 25
The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is
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(-3,10)
(-3,-10)
(3,10)
(3,-10)
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Question # 26
There is no integer n for which 3n is
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Even
Prime
Odd
Real
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Question # 27
A conditional "if p then q" is denoted by
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Question # 28
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 29
The distance of the points (3, 4, 5) from y-axis is
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Question # 30
The number of arbitrary constants in the general solution of a differential equation is equal to the different equation
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Order
Degree
Variables
All are correct
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Question # 31
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