Free Printable LOGICAL REASONING PART 2

1.

Determine the antecedent and consequent of the following statement:

"if $p+2=29$ then $p=27$ "

a)

Antecedent : $p$
Consequent: $p=27$

b)

Antecedent : $p+2=29$
Consequent: $p=27$

c)

Antecedent : $p=27$
Consequent: $p+2=29$

d)

Antecedent : $p=27$
Consequent: $p+2$

2.

Choose two implications based on the following statement,

$2x+10=30$ if and only of $x=10$

a)

if $2x+10=30$ then $x=10$

b)

if $2x+10$ then $x=10$

c)

if $x=10$ then $2x+10$

d)

if $x=10$ then $2x+10=30$

3.

what is the converse of :

'if a figure is a circle with a radius then the circumference is $2\pi r$ '

a)

if a figure isn't a circle with radius r, then the circumference isn't $2\pi r$

b)

if a figure has circumference $2\pi r$ , then it is a circle with radius r

c)

if a figure doesn't have a circumference, then it is a circle

d)

if a figure has not $2\pi r$ as its circumference then it is not a circle with radius r

4.

Inverse of :

if an integer ends with 0, then it is divisible by 2

a)

if an integer is divisible by 2 then it is ends with 0

b)

if an integer is not divisible by 2 then it is not ends with 0

c)

if an integer is not ends with 0, then is not divisible by 2

d)

if an integer is not ends with 0, the it is divisible by 2

5.

Contrapositive of:

'if you win the championship game, then you win the league trophy'

a)

if you don/t win the league trophy, then you win the championship

b)

if you win the league trophy, then you win the championship

c)

if you don't win the championship, then you don't win the league trophy

d)

if you don't win the league trophy then you don't win the championship

6.

if a polygon is a quadrilateral, then it has four sides

which of the following answer is not the Converse, Inverse and Contrapositive of the above statement?

a)

if a polygon do not has four sides then it is a quadrilateral

b)

if a polygon has four sides then it s quadrilateral

c)

if a polygon is not a quadrilateral then it not has four sides

d)

if a polygon do not have four sides then it is not quadrilateral

7.

if $7-2=5$ then $\left(7\times2\right)-2=15$

Find the inverse for the statement above and decide if it is true or false statement.

a)

if $\left(7\times2\right)-2=15$ then $7-2=5$ , True

b)

if $\left(7\times2\right)-2\ne15$ then $7-2\ne5$ , True

c)

if $7-2\ne5$ then $\left(7\times2\right)-2\ne15$ , True

d)

if $\left(7\times2\right)-2\ne15$ then $7-2\ne5$ , False

8.

Given

'if I have a dog then I have a Pomeranian'

Identify the inverse.

a)

if I have a Pomeranian then I have a dog

b)

if I do not have a dog, then I do not have Pomeranian

c)

If I do not have Pomeranian then I do not have a dog

d)

if I have a Pomeranian the I do not have a dog

9.

Given

'if I have a dog then I have a Pomeranian'

Identify the converse.

a)

if I have a Pomeranian then I have a dog

b)

if I do not have a dog, then I do not have Pomeranian

c)

If I do not have Pomeranian then I do not have a dog

d)

if I have a Pomeranian the I do not have a dog

10.

Given

'if I have a dog then I have a Pomeranian'

Identify the contrapositive.

a)

if I have a Pomeranian then I have a dog

b)

if I do not have a dog, then I do not have Pomeranian

c)

If I do not have Pomeranian then I do not have a dog

d)

if I have a Pomeranian the I do not have a dog

LOGICAL REASONING PART 2

Total questions: 10

Worksheet time: 10mins

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