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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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Question # 2

An equation of the form ax + by = k is homogeneous linear equation when:

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Question # 3

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

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Question # 4

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The law of sines

The law of tangents

The pythagorus theorem

None of these

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Question # 5

The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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Question # 6

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0

-4

none of these

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Question # 7

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

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Question # 8

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

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Question # 9

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally

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Question # 10

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Question # 11

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

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Wholw number

Prime number

Even number

Odd number

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Question # 12

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

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Question # 13

tan(3π/2 +θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

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Question # 14

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Question # 15

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Question # 16

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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 # 17

sin²αcos²α=

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-1

0

1

None of these

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Question # 18

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Question # 19

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0

1

-1

undefined

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Question # 20

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

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Question # 21

QUQ, =

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N

R

W

Z

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Question # 22

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image

pre-image

constant

none of these

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Question # 23

The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

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Question # 24

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Question # 25

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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Question # 26

Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

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Question # 27

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

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Question # 28

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

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Question # 29

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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Question # 30

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I

14 I

0

None of these

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Question # 31

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a-b=ab

ab=a

a+b=ab

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