Electrostatics
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Dual Nature of Matter and Radiation
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Classification of Elements and Periodicity in Properties
Chemical Bonding and Molecular Structure
States of Matter: Gases and Liquids
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Redox Reactions
Hydrogen
s-Block Element (Alkali and Alkaline earth metals)
Some p-Block Elements
Organic Chemistry- Some Basic Principles and Techniques
Environmental Chemistry
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General Principles and Processes of Isolation of Elements
p-Block Elements
d and f Block Elements
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Sets, Relations and Functions
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Binomial Theorem
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Sets, Relations and Functions

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Q 1. The function is

An even function

An odd function

Periodic function

None of these

We have,

for all

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Q 2. The domain of the real valued function

For

And

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Q 3. Let

Many-one into function

One-one into function

Many-one onto function

One-one onto function

Since,

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Q 4. If

{0, 1}

{1, 2}

{-3, -2}

{2, 3}

Given that,

For

Now, for

Again, for

Hence, required set is

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Q 5. Let

None of these

We have,

And,

Hence, none of the above given option is true

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Q 6. The domain of the function

The given function is defined when

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Q 7. If a function

None of these

We have,

Now,

Thus,

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Q 8. The period of the function

None of these

Since

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Q 9.

Let

Hence,

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Q 10. If

None of these

We have,

Clearly,

Thus, option (a) is not correct

Now,

Thus, option (b) is not correct

Also,

Thus, option (c) is not correct

Hence, option (d) is correct

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Q 11. If

None of these

We have,

Clearly,

Hence,

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Q 12. If

Given,

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Q 13. If the function

The domain of

Let

Now,

Now,

Therefore, range of

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Q 14. If

About

About

About both the axes

In opposite quadrants

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Q 15. Let

We have,

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Q 16. The period of the function

None of these

Since

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Q 17. The number of reflexive relations of a set with four elements is equal to

Number of reflexive relations of a set of 4 elements

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Q 18. If a function

We have,

Since

Now,

Hence,

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Q 19. If

None of these

We have,

Clearly,

Clearly,

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Q 20. If the function

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Q 21. If

200

300

350

500

Given,

For

Also

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Q 22. In a class of 35 students, 17 have taken Mathematics, 10 have taken Mathematics but not Economics. If each student has taken either Mathematics or Economics or both, then the number of students who have taken Economics but not Mathematics is

7

25

18

32

Let

Now,

Now,

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Q 23. Let

An equivalence relation on

Reflexive, transitive but not symmetric

Symmetric, transitive but not reflexive

Neither transitive not reflexive but symmetric

For any

Therefore, the relation

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Q 24. If two sets

100

18

Number of elements common to each set is

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Q 25. If

None of these

We have,

and,

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