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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

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Question # 2

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Question # 3

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16

256

64

1024

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Question # 4

Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

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Question # 5

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

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Question # 6

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Question # 7

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

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Question # 8

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Question # 9

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

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Question # 10

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

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Question # 11

The parabola y²= x is symmetric about

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x-axis

y-axis

Both x and y-axis

The line y = x

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Question # 12

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Question # 13

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Question # 14

Range of 2 tan x is ______

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[-2, 2]

-1 < x < 1

R

None of these

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Question # 15

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

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Question # 16

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Question # 17

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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Question # 18

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The law of sines

The law of tangents

The pythagorus theorem

None of these

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Question # 19

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

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Question # 20

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ab=-1

ab = 1

ab = 2

None

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Question # 21

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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Question # 22

The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

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Question # 23

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0

1

-2

10

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Question # 24

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Reciprocal equation

Exponential equation

Radical equation

None of these

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Question # 25

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2x cos x2

2sinxcosx

- sin x2

2x sin x2

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Question # 26

sec h x = ________

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Question # 27

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

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Question # 28

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Question # 29

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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Question # 30

The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

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Question # 31

If f(x) = -x²then f(-2) is

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-2

2

-4

4

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