GE-MMW Prefinal - Reasoning and Problem Solving Strategies

A vibrant and engaging illustration depicting various symbols of logic and problem-solving, such as gears, light bulbs, and question marks, possibly themed in a classroom setting.

Logic and Reasoning Quiz

Test your reasoning and problem-solving skills with our comprehensive quiz designed for learners at all levels. This quiz comprises 38 engaging questions that challenge your understanding of deductive reasoning, problem-solving strategies, and logical thinking.

Whether you're a student preparing for exams or a teacher looking for assessment tools, this quiz is the perfect fit. Here’s what you can expect:

Multiple-choice and open-ended questions
Interactive problem-solving scenarios
Coverage of various logical reasoning concepts

38 Questions10 MinutesCreated by ThinkingTree472

Read each item carefully and select the best answer/s or encode your answer as directed.
Answers in short-response questions are not case-sensitive. Do not put any units in your answer unless specified. Answer in number form not word form - I.e. "1" not "one".
NO CHEATING - Opening of other tabs and using of any computing devices during the test are not allowed.
Backtracking is DISABLED in this quiz - make sure you place a response and review before proceeding to the next item.

Read each item carefully and select the best answer/s or encode your answer as directed.
Answers in short-response questions are not case-sensitive. Do not put any units in your answer unless specified. Answer in number form not word form - I.e. "1" not "one".
NO CHEATING - Opening of other tabs and using of any computing devices during the test are not allowed.
Backtracking is DISABLED in this quiz - make sure you place a response and review before proceeding to the next item.

True or False: By taking into account both general examples and your understanding of how the world works, deductive reasoning allows you to conclude that something is likely to be true. (2 points)

True

False

Identify what is being exemplified in the following: "Parrots, eagles, and doves are birds. They can all fly. Therefore, all birds can fly." (2 points)

Inductive reasoning

Deductive reasoning

Invalid reasoning

None of the choices

Which of the following is not a term in the following sequence:

1, 1, 2, 3, 5, 8, ... (3 points)

144

377

None of the choices

Identify which set of shapes follow in the pattern shown above? (3 points)

Figure A

Figure B

FIgure C

Figure D

In deductive reasoning and syllogisms, for any given set of premises, if the conclusion is guaranteed, the argument form is said to be _____. (2 points)

True

Valid

Sound

All of the choices

Determine the validity of the following argument: "No one who can afford health insurance is unemployed. All politicians can afford health insurance. Therefore, no politician is unemployed." (3 points)

Valid

Invalid

Can't be determined

Identify which of the following does this argument exemplify: "The law says that we must wear a face mask when going outside. I am going to the market. Therefore, I must wear a face mask." (Choose all that apply) (5 points)

Which of the following statements are TRUE? (Choose all that apply) (4 points)

The product of three odd numbers is odd.

The square of any real number is positive.

If one pair of opposite sides of a quadrilateral is parallel and the other pair has the same length, then the quadrilateral a parallelogram.

Some prime numbers are perfect squares.

The sum of the first n positive integers is n(n+1)/2.

It is an educated guess; a conclusion or claim based on incomplete information, for which no proof has been found. (2 points)

Conjecture

Syllogism

Theorem

Argument

The four steps of problem solving by George Polya are: (2 points)

	Steps
Step 1
Step 2
Step 3
Step 4

How many squares and rectangles of any size and of distinct positions can be found on a 3x3 square grid? (4 points)

There are 10 people in a room. Each person shakes hands with everyone else exactly once. How many handshakes occurred? (3 points)

Mr. Jones has a total of 25 chickens and cows on his farm. How many chickens does he have if all together there are 76 feet? (3 points)

Refer to the figure above. How many paths are there in traversing from the start point towards the end point in a 6x4 grid? (You can only travel either upwards or rightwards) (3 points)

Refer to the figure above. Five numbers, 8, 10, 11, 12, and 13, are placed in the circles such that the sums across and vertically are equal to 31.

Question: What is the number at the center circle? (3 points)

Four friends ran a race:

A finished seven seconds ahead of B;

C finished three seconds behind D;

B finished five seconds behind C.

In what order did the friends finish the race?

(separate each answer with a comma) (4 points)

	Friends
1st Place
2nd Place
3rd Place
4th Place

I’m thinking of a positive number less than 100. The number is odd. The sum of the digits is 7. It is evenly divisible by 5. What is the number? (3 points)

Use the Pascal's triangle above as your aid to get the numerical coefficient of the third term of the expansion of (x+y)^8. (3 points)

Find the largest of five consecutive odd integers whose sum is 175. (3 points)

In a town of 100 people, 85 speak English, 40 speak Filipino and 20 speak Cebuano. Also 32 speak English and FIlipino, 13 speak English and Cebuano and 10 speak Filipino and Cebuano. How many people can speak all the three languages? (4 points)

The six-digit number 53A,2A1 is divisible by 9. What is the value of A? (3 points)

If the letters in the word ARITHMETIC are written over and over again, what is the 1103^1104th letter? (3 points)

Three apples and two pears cost 78 cents. But two apples and three pears cost 82 cents. What is the total cost of one apple and one pear (in cents)? (3 points)

Three darts hit this dart board and each scores a 1, 5, or 10 (See above figure). The total score is the sum of the scores for the three darts. There could be three 1’s, two 1’s and 5, one 5 and two 10’s, And so on. How many different possible total scores could a person get with three darts? (3 points)

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