## Aptitude Chapter-14

Bodhak competitive bank exams venn diagram in this chapter we will discuss Venn Diagrams,  Logical deductions, Simplification, Data Sufficiency, Data interpretation, Cubes. We will see how o solve through equations and through shortcut methods.

Venn Diagrams: In Venn Diagrams two types are there.

1. Two circles                    2. Three circles

#### competitive bank exams Venn diagram

Suppose two circles there are 4 possibilities.

Suppose three circles there are 8 possibilities

Example quotation:

Suppose there are 70 students in a class and they drink coffee and tea the possibilities are 4.

1 = only coffee

2 = only tea

3  =  both

4  =    neither coffee nor tea

So total 1+2+3+4=70

### Logical deductions:

In logical deductions, there are 4 types of statements.

Universal Positive (All)

Universal Negative (No)

Particular Positive (some)

Particular Negative (Some not)

The common term in two statements is called Middle term

In logical deductions, we have to draw a conclusion from the given statements.

Example Quotation:

Statement 1:  All boys are intelligent

Statement 2: All intelligent are girls

To draw conclusion for the above statements we have to follow 9 rules

Rules :

1) Middle term should not be absent

2) Middle term should be distributed at least once

3) Middle term should not be there in the conclusion

4) If one word is not distributed in the statements it will not be distributed in conclusion

5) If one statement is particular, the conclusion will be particular.

6)  If one statement is negative, the conclusion will be negative

7) If two statements are particular, no conclusion

8) If two statements are negative, no conclusion

9) If middle term is distributed more than once, then the conclusion will not be universal.

So Answer is All boys are girls

### Simplification:

Simplification is a method of solving problems in short time. So in simplification, we will discuss some shortcuts

### Data Sufficiency:

In Data Sufficiency, they give two statements and they will ask a question. If we can solve the question by using statement 1 alone then answer is ‘a’, if we can solve the question by using statement 2 alone then answer is ‘b’, if we can solve the question by using either of statements then answer is ‘c’, we can solve the question by using both the statements then answer is ‘d’, and if we can not solve the question by using any of the statements then answer is ‘e’.