Can you figure this out?

Question

A social studies quiz consists of five true-false questions.

A. There are more true than false answers.
B. Questions one and five have opposite answers.
C. No three consecutive answers are the same.
D. Josh knows the correct answer to the second question.
E. From these clues, Josh can determine the correct answer to each question.


What are the correct answers to each of the five questions on the quiz??

Note that there is only one possible solution.

Whoever figures this out and gives thorough explanations will be chosen as the best answer.

Answer 1

1 true
2 false
3 true
4 true
5 false

After eliminating the obvious combinations using clues 1-3, there are only 4 out of the original 32 possibilities left:
(1) f t f t t
(2) f t t f t
(3) t f t t f
(4) t t f t f
only option (3) has a different answer to the 2nd question that Josh knows the answer to. Since he can determine the correct answer, (3) above must be the correct choice.

Answer 2

E. seems to not give you any information outside that you ought to be as cleaver as Josh ... let see where this goes nonetheless.

Let us try B - what are the possibilities: there are two:
b1: F x x x T and
b2: T x x x F

Let us try C now - what are the possibilities if we take b1:
- If I start with F F, then T should follow because of C and then F has to follow because of C again: b1c1: F F T F T
- If I start with F T, then T or F could follow.
F T T x T which leads to b1c2: F T T F T only possibility because of C
F T F x T which leads to b1c3: F T F T T and b1c4: F T F F T

Let us try C now but with b2:
- If I start with T T, then F should follow because of C and then T has to follow because of C again: b2c1: T T F T F
- If I start with T F, then F or T could follow.
T F F x F which leads to b2c2: T F F T F only possibility because of C
T F T x F which leads to b2c3: T F T F F and b2c4: T F T T F

Let us now compare this to A.
b1c1: F F T F T is not possible because 3 Fs vs. 2 Ts
b1c2: F T T F T is a possible solution !
b1c3: F T F T T is also a possible solution !
b1c4: F T F F T is not possible because 3 Fs vs. 2 Ts
b2c1: T T F T F is also a possible solution !
b2c2: T F F T F is not possible because 3 Fs vs. 2 Ts
b2c3: T F T F F is not possible because 3 Fs vs. 2 Ts
b2c4: T F T T F is also a possible solution!

Let us now finish with D.
There are four solutions so far: F T T F T , F T F F T , T T F T F , and T F T T F
The question two is either T (in 3 solutions) or F (in 1 solution).
If Josh is supposed to know the answer to question 3, and that from this he can determine the correct answer to each question (E) then F is the answer to question 2 - otherwise he would still face three possible solutions.

E was not that stupid after all. Your solution is T F T T F.

Answer 3

If 1 is true then 5 is false and vice versa

1,2, and 3 cannot all have the same answer, so if 1 is true, then 2 and/or 3 must be false. (similar argument if 1 is false)

3,4, and 5 cannot all have the same answer, so if 5 is false, then 3 and/or 4 must be true. (similar argument of 5 is true)

2,3 and 4 cannot have the same answer, so at least one of these must be false and at least one of these must be true.

At least three questions total must be true, since more are true than false. That means two of the three middle answers must be true. There cannot be 4 true questions because if 1 and 5 have opposite answers, that would put three trues in a row, which cannot be.

The only possibilities are:

TFTTF TTFTF
FTTFT FTFTT

If Josh can determine the correct answers from the first three clues, based on knowing the answer to the second question, he must know that the second answer is false, meaning that the answers are TFTTF. If he knew the second answer was true, he could not solve this because there are three possibilities for this scenario.

Answer 4

Condition
A. T > F
B. 1 <> 5
C. No three consecutive answers are the same
D. Josh
E. From these clues, Josh can determine the correct answer to each question
F. Only One posibility Solution



if Answer of No2 is TRUE There are 3 Posibility
1. T T F T F
2. F T T F T
3. F T F T T

if Answer od No2 is FALSE there is Only One Posibility
1. T F T T F

Because the other posibility
1. F F T T T is violate rule No C

Check RULES:
A. TRUE = 3, FALSE =2 so TRUE > FALSE
B. No 1 is opposite with No 5
C. No Three consecutive answers are same
D. Josh Knows the ANSWER is FALSE because
E. From these clues, Josh can determine the correct answer to each
and josh only have One posibility
If the answer No2 is TRUE There are 3 Posibility

So The answer is


1. TRUE
2. FALSE
3. TRUE
4. TRUE
5. FALSE


Is it CLEAR?

Answer 5

If you expect us to solve that, then certainly Josh can solve it, and that makes E True.

E. True

If E is true, then D must be true.

D. True
E. True

Now C cannot be true, because that would make three consecutive trues, making C false.

C. False
D. True
E. True

Now for C to be false, A and B must be false... so we SEEMINGLY come up with the following...

A. False
B. False
C. False
D. True
E. True

But then we realize that B cannot be false in this manner, because A and B DO have opposite answers...

A. False
B. True
C. False
D. True
E. True

But now there's a problem with C... C is now true...

A. False
B. True
C. True
D. True
E. True

This causes a problem with both C and A...

A. True
B. False
C. False
D. True
E. True

Can't seem to get rid of that C problem... Maybe I'll get back to you...

Answer 6

Hourglass is while the bust and hips are the comparable length and the waist is critically smaller than the hips. seems such as you would be able to correctly be extra pear shaped. Examples: Hourglass: 36-26-36 Pear: 34-26-37

Answer 7

more yes than no
question 1 YES no
question 2 YES no . if answer 2 is yes then question 3
question 3 NO yes is NO (#C) and question 4 is YES
question 4 YES no again referring to (#C)
question 5 NO yes in second simulation more false

Answer 8

the answer is 0

Answer 9

T F T T F

Answer 10

huh?