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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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0

-1

1/2

1

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Question # 2

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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Question # 3

For any set B,B∪B' is

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Is set B

Set B'

Universal set

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Question # 4

Through how many radians does the minute hand of a clock turn in one hour

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Question # 5

Number of lines passing through three non-collinear points is

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2

3

1

0

∞

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Question # 6

The sum of all 2 digit number is

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4750

3776

4895

4905

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Question # 7

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none of these

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Question # 8

Which element is the additive inverse of (a, b) in Complex numbers?

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(a, 0)

(0, b)

(a, b)

(-a, -b)

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Question # 9

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Question # 10

The area of the circle centred at (1,2) and passing through (4,6) is

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30 πsq.units

5π sq.units

15π sq.units

25π sq.units

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Question # 11

In one hour the minute hand of a clock turns through

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Question # 12

The unit vector along y-axis is

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none of these

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Question # 13

The period of tan x/7 is

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3π

7π

15π

5π

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Question # 14

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None of these

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Question # 15

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

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Question # 16

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

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Question # 17

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Question # 18

n!/(n-1)!=

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n

n!

(n-1)!

0!

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Question # 19

The distance between the points (0,0) and (x,y) is

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x²+ y²

x

y

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Question # 20

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

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Question # 21

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

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Question # 22

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

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2,2,2

3,3,3

2,2,4

2,3,4

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Question # 23

The point R dividing externally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio k₁: k₂has the coordinates

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Question # 24

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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Question # 25

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Question # 26

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Question # 27

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Question # 28

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

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Question # 29

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Question # 30

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Question # 31

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

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