open ended questions i.e., you have greater chances to express your

opinions, give your logical arguments in your own way. As you already

know that questions from other than text book exercises can be given

in the Public Examination, you need to know the concepts clearly.

T he questions will be based on the concepts you have learnt from your

text book. Instead of asking the conceptual questions directly, your

comprehension about the concepts will be assessed by asking

application based questions. Your mathematical skills will be assessed

under five competencies.

1) Problem solving

2) Reasoning and proof

3) Communication

4) Connections

5) Visualization and Representation

Let's see how the questions can be asked from the concepts you learnt

from the chapter 'sets'.

Note:

1) Two short type questions can be combined for an essay type question.

2) These questions are intended to provide clarity regarding the way of ask-

ing questions as the students are getting panic that the questions are not

given from the text book.

Some Important Questions:

Q: If A = {x / x is a letter of the word 'integers'},

B = {x / x is a letter of the word 'tigers'},

C = {x / x is a letter of the word 'trees'}. Draw the venn diagram to

represent the relation among the sets A, B and C. How do you interpret

the diagram?

Hint: Write the sets A, B and C in roster form then try to relate

whether the sets are disjoint, subsets or related in any other way.

Solution:

A = {i, n, t, e, g, r, s}

B = {t, i, g, e, r, s}

C = {t, r, e, s}

Q: If A = {x / x is a multiple of 3 less than 30}, B = {x / x is a

factor of 30}. Find the number of elements in i) A U B ii) A ∩ B.

Hint: This is a simple question. List out the elements of the set A

and set B. Find

i) A U B and write its cardinal number.

ii) Find A ∩ B and write its cardinal number.

Solution: A = {3, 6, 9, 12, 15, 18, 21, 24, 27}

B = {1, 2, 3, 5, 6, 10, 15, 30}

i) A U B = {1, 2, 3, 5, 6, 9, 10, 12, 15, 18, 21, 24, 27, 30}

n(A U B) = 14

ii) A ∩ B = {3, 6, 15}

n(A ∩ B) = 3

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