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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

If y=f(x) is a function then y is called

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dependent variable

independent variable

constant

none of these

Next

Question # 2

n(n - 1) (n - 2) in factorial form is

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Next

Question # 3

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

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Question # 4

The value of sin^-1 5/13 is equal to

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Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

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Question # 5

Choose an answer

none of these

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Question # 6

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Next

Question # 7

(2.02)4 s equal to

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16

16.6496

17

18

Next

Question # 8

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7

5

6

None of these

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Question # 9

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 # 10

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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Question # 11

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Imaginary

Rational

Irrational

Real numbers

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Question # 12

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of these

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Question # 13

An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45° and 30°, respectively. The distance between the ships if the line joining them points to the base of cliff is

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Next

Question # 14

How many arrangements of the letters of the word MATHEMATICS can be made

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Next

Question # 15

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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Question # 16

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

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Question # 17

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

Next

Question # 18

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Next

Question # 19

cos 2α=

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sin²α+ cos²α

-cosθ

tanθ

None of these

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Question # 20

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

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Question # 21

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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Question # 22

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

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Question # 23

√25 is a number

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Rational

Irrational

Natural

Odd

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Question # 24

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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Question # 25

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

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Question # 26

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Next

Question # 27

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

Next

Question # 28

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Next

Question # 29

If ΔABC is right triangle then the law of Cosines reduces to

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The Pythagoras Theorem

The law of Sines

The law of cosines

The law of tangents

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Question # 30

The third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

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Question # 31

∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

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