Math Aptitude - Prottoy Math

Topic Based Math Questions and Solutions for Competitive Recruitment Exams. Almost every question has been reviewed multiple times so the answers are almost accurate. In addition, explanations have been added in support of the answers to the questions, if necessary.

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Topic Based Math Questions & Solutions (Exact Explanations)
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Numbers
LCM & HCF
Percentage
Ratio & Proportion
Profit & Loss
Simple Interest
Compound Interest
Calendar
Average
Age
Height & Distance
Time & Distance
Time & Work
Partnership
Sets
Algebraic Expression
Probability

Clock
Boats & Streams
Alligation or Mixture
Simplification
Exponents
Equation
Logarithms
Permutation
Combination
Inequalities
Sequence & Series
Line & Angle
Triangle
Quadrilateral
Circle
Mensuration
Polygons

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Functions

Test yourself in Functions in Math Questions! You have only 10 minutes to complete the test and if you do not answer any question within the allotted time, it will be counted as incorrect. You can skip questions by clicking "NEXT" button and go back to previous questions by "PREVIOUS" button. You need to get minimum 50% marks to pass the quiz. Click on the "START" button to participate in the quiz.

1 / 30

The Range of trigonometric function sine is -

[-1, 1]

(0, ∞)

(1, ∞)

(−∞, ∞)

2 / 30

Determine the range of the real function: F(x) = | x |

[0, ∞]

[0, ∞)

[-1, 1]

(0, ∞)

3 / 30

The range of trigonometric function tangent is -

R - nπ

R - (2n + 1)π/2

(0, ∞)

(−∞, ∞)

4 / 30

Find the domain of the real-valued function: 1/ (x - 2)

R+

R

R – {-2}

R – {2}

5 / 30

A function is always a relation but vice versa is not true.

No

Yes

6 / 30

The range of inverse trigonometric function sin^-1x is -

[-π/2, π/2]

(0, ∞)

[0, π]

[-1, +1]

7 / 30

If x is an independent variable and y is a dependent variable. Then the function denoted by -

x = -f(y)

y = f^-1(x)

f(x) = f(y)

y = f(x)

8 / 30

Trigonometric functions are also known as -

Injective Functions

Surjective Functions

Circular Functions

Inverse Functions

9 / 30

A function f: R → R is defined is defined as y²= x² - 16. Find the range of the function f.

[0, ∞)

(−∞, ∞)

(1, ∞)

[-1, 1]

10 / 30

If each element in the domain of a function has a distinct image in the co-domain, the function is said to be -

One – One Function

Constant Function

Identical Function

Onto Function

11 / 30

Find the domain of the relation: S = {(2, 1), (2, 2), (3, 2), (4, 5)}

{1, 2, 5}

{2, 3, 4}

{1, 2, 3, 5}

{2, 3, 4,5}

12 / 30

f(x) = π is -

A constant function

An Identical function

13 / 30

One to one function is also called -

Injective Functions

Inverse Functions

Polynomial functions

Surjective Functions

14 / 30

f(x) = x² is –

Odd function

Even Function

15 / 30

R = {(x, y): x ∈ A, y ∈ A and y = x + 1}, where A = {0, 1, 2, 3}. Find Range of R.

{0, 1, 3}

{0, 1, 2}

{0, 1, 2, 3}

{1, 2, 3}

16 / 30

What is the domain of the function y = 2^x.

(0, ∞)

(-∞, ∞)

[-1, 1]

[0, ∞]

17 / 30

Which of the following is the inverse function of f (x) = 3x - 6?

(y - 6)/3

(3y - 6)/2

(y - 3)/6

3x - 6

18 / 30

If R is a relation from the set B to C, then which is true?

A ∈ A × B

R ≈ A × B

R ⊇ A × B

R ⊆ A × B

19 / 30

The domain of trigonometric function sine is -

(−∞, ∞)

(0, ∞)

[-1, 1]

(1, ∞)

20 / 30

Every function has -

Both domain and range

Codomain only

Both domain and codomain

Domain only

21 / 30

Determine the range of the function y = Log₂x.

[-1, 1]

(0, ∞)

[0, ∞]

(-∞, ∞)

22 / 30

A function is called an onto function if each element in the co-domain has at least one pre–image in the domain. Is it True?

Yes

No

23 / 30

A domain of the function is the -

None of these

Set of inputs

Set of outputs

Set of both input and output

24 / 30

sinx is –

An Even Function

An Odd Function

25 / 30

If f(x) = x² - 4x + 3, then value of f(- 1) = ?

0

-8

6

-1

26 / 30

The domain of trigonometric function cosine is -

(1, ∞)

(0, ∞)

(−∞, ∞)

[-1, 1]

27 / 30

Is the following relation a function?
{(-2,3), (1, -5), (2, 3), (4, -1), (-1, -3), (-2, 4)}

No

Yes

28 / 30

A function f : R → R given by f(x) = 7x + 5 is -

Constant Function

One-One Function

Identical Function

Onto Function

29 / 30

Onto function is also called -

Surjective Functions

Inverse Functions

Polynomial functions

Injective Functions

30 / 30

In a function, f(x), x represents -

None of these

Output

Input

Both input and output

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