LOGICAL REASONING

Which is the converse of:
"If a figure is a circle with radius r, then its circumference in 2(pi)r."

• If a figure has a circumference of 2(pi)r, then its a circle with radius r.
• If a figure doesn't have a circumference, then it's a circle with a radius of r.
• If a figure isn't a circle with radius r, then its circumference isn't 2(pi)r
• If a figure isn't a circle, then it doesn't have a circumference.

Which statement is a good definition of a rectangle?

• A rectangle is a shape with four sides.
• A rectangle is a shape with two pairs of parallel sides.
• A rectangle is a quadrilateral with four congruent angles.
• A rectangle is a parallelogram with four congruent sides.

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.

• The polygon is a rectangle.
• The polygon is a regular quadrilateral.
• The polygon has exactly five congruent angles.
• The polygon has congruent sides.

Which statement is a valid conclusion?
If a student has a temperature of 100 or more, then he/she should stay home from school. 
Jake has a temperature of 101 and Suzi has a temperature of 99.

• Both Jake and Suzi should stay home.
• Both should go see the school nurse.
• Jake should stay home, but Suzi should go to school.
• Suzi should stay home, but Jake should go to school.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

• You are at least 25 years old
• You can rent a car
• You can go on a road trip
• Invalid

Tags

CCSS.HSA.SSE.A.1

If the binding of the book is broken, then the student will have to pay for a new one.
Michael has to pay for a new book, so he concludes the binding on his book is broken.
Is he correct?

• Yes
• No

p : x is even number.

q : x can be divided by 2.

What is the implication for the statements above?

• If x is even number, then x can be divided by 2.

• If x can be divided by 2, then x is even number.

• If x cannot be divided by 2, then x is not even number.

• If x is not even number, then x cannot be divided by 2.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• If a polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

41, 93, 165, 257, 369, ?

• 4861

• 4211

• 4911

• 4411

26th January, 1996 was a Friday. What day of the week lies on 26th January, 1997?

• Saturday

• Sunday

• Monday

• Thursday