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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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Question # 2

Cot 45° = ______

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Question # 3

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

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Question # 4

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Question # 5

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

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Question # 6

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Question # 7

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

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Question # 8

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

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Question # 9

Second derivative of y = x⁹+ 10x²+ 2x - 1 at x = 0 is

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10

20

12

1

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Question # 10

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

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Question # 11

The general solution of tan 3x = 1 is

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Question # 12

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

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Question # 13

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

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Question # 14

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Question # 15

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

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Question # 16

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Question # 17

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c/a

-c/a

b/a

-b/a

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Question # 18

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

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Question # 19

If n is any positive integer then n²> n + 3 for

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Question # 20

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Question # 21

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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

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Question # 22

csc(-π/2) = __________;

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0

1

-1

Undefined

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Question # 23

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

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Question # 24

The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

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Question # 25

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Question # 26

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

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Question # 27

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

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Question # 28

Tan 30° = _____

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Question # 29

1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

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Question # 30

Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

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Question # 31

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