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Week 4 - Activity-1

The document contains a psychology assignment with questions testing inductive and deductive reasoning skills as well as finding counterexamples. Section I asks the student to predict missing numbers in sequences using inductive reasoning. Section II asks them to find counterexamples to disprove given statements. Section III presents a scenario about class officers and their ages/positions, and asks the student to deduce the positions based on clues. Section IV presents a logic puzzle about deducing a 5-digit code based on clues, and asks the student to show their step-by-step working using Polya's problem-solving strategy.

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Wallen Lagrada
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106 views4 pages

Week 4 - Activity-1

The document contains a psychology assignment with questions testing inductive and deductive reasoning skills as well as finding counterexamples. Section I asks the student to predict missing numbers in sequences using inductive reasoning. Section II asks them to find counterexamples to disprove given statements. Section III presents a scenario about class officers and their ages/positions, and asks the student to deduce the positions based on clues. Section IV presents a logic puzzle about deducing a 5-digit code based on clues, and asks the student to show their step-by-step working using Polya's problem-solving strategy.

Uploaded by

Wallen Lagrada
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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NAME: LAGRADA WALLEN M.

DATE: SEPTEMBER 8, 2020


SECTION: PSYCH1

I. Predict the missing number using inductive reasoning. Write your answer on
the space provided.

1. 15, 12, 9, 6, 3, 0

2. 20, 17, 14, 10, 7, 4

3. -3, 2, -8, -3, -13, -8

4. 3/5, 5/7, 7/9, 9/11, 11/13, 13/15

5. 1, 5, 12, 22, 35, 51

II. Finding Counterexamples


Find a number that provides a counterexample to show that the given statement is
false.

1
1. For all numbers x, x >
x

Ans. 0 > 1/1

2. For all numbers x, x + x > x.

Ans. 1+1 > 3

III. Solve the problem using deductive method. (Fill out the table.)

John, Niro, Jio and George were recently elected as the new class officers
(President, Vice-president, Secretary, Treasurer) of the freshmen class. From the
following clues, determine which position holds

a. George is younger than the president but older than the treasurer
b. John and the secretary both same age and they are the youngest members of
the group
c. Jio and the secretary are next door
1. Who is the President? Jio
2. Who is the Vice-President? George
3. Who is the Secretary? Niro
4. Who is the Treasurer? John

VICE
PRESIDENT SECRETARY TREASURER
PRESIDENT
JOHN x x x √
NIRO x x √ x
JIO √ x x x
GEORGE x √ x x

IV. Solve the following problems using polya’s strategy. Write your solution on the
space provided.

A. A man wanted to enter into his work building, but he had forgotten his code.
However, he did remember five clues:

a. The fifth number plus the third number equals fourteen


b. The fourth umber is one more than the second
c. The first number is one less than twice the second number
d. The second plus the third number equals ten
e. The sum of all five number is 30

1. What is the first number? 7


2. What is the second number? 4
3. What is the third number? 6
4. What is the fourth number? 5
5. What is the fifth number? 8
Solution:

 Understand the problem


-Looking for the 5-digit code.
-E + C = 14
D=B+1
A= 2B – 1
B + C = 10
-The sum of all five number is 30.

 Devise a plan

Let the 2nd digit = x

 Carry out a plan

1st = 2x-1
2nd and 3rd = x+y=10
4th = x+1
3rd and 5th = y+z=14

sum of all five digits is 30


2x - 1 + x + y + x + 1 + z = 30
4x + y + z = 30
4x + 14 = 30
4x = 30 - 14
4x = 16
x = 16 ÷ 4
x=4

Now we know the value you x.

1st = 2(4)-1
= 8-1
=7

2nd = 4

4th = 4+1
=5
rd
3 = 4+y=10
= y= 10-4
=y=6
th
5 = 6+z=14
= z = 6 -14
=z=8

 Look back and review your solution.

7+4+6+5+8= 30

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