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Online Tests
ECAT Mathematics Online Test MCQs With Answers
Question # 1
When we expand (a + 2b)
5
then
Choose an answer
a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 2
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Question # 3
Which of the vectors have opposite direction?
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Question # 4
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Question # 5
The additive identity of real number is
Choose an answer
1
2
1/2
0
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Question # 6
The roots of the equation ax
2
+ bx + c = 0 are real and equal if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 7
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none of these
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Question # 8
The number of subsets of a set having three elements is
Choose an answer
4
6
8
none of these
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Question # 9
(x + 3) (x + 4) = x
2
+ 7x + 12 is ______
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Quadratic equation
Linear equation
Cubic equation
Identity
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Question # 10
Choose an answer
n
C
r
n+1
C
r+1
n
C
r+1
None
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Question # 11
Choose an answer
(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 12
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
Choose an answer
x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 13
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Question # 14
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
Choose an answer
1
0
-1
-2
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Question # 15
The set of complex numbers forms a group under the binary operation of
Choose an answer
Addition
none of these
Division
Subtraction
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Question # 16
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 17
Choose an answer
0
-2
1
4
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Question # 18
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0
-1-w
2
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Question # 19
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2
-3/2
1
0
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Question # 20
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(-6,4)
(-3,2)
(6,-4)
(3, -2)
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Question # 21
Range if y = cos x is
Choose an answer
-1≤ y≤ 1
-1 < y < 1
-∞ < x < +∞
None of these
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Question # 22
x
4
- 3x
3
+ 3x + 1 = 0 is called ______
Choose an answer
Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 23
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Question # 24
If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is
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8, 15, 17
3, 4, 5
12, 15, 18
5, 12, 13
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Question # 25
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 26
If a and b are real numbers then a+b is also real number this law is called
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associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 27
Choose an answer
none of these
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Question # 28
If 4
6
P
r
=
6
P
r+1
, then r is equal to
Choose an answer
4
3
2
1
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Question # 29
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 30
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Question # 31
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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