# What is the answer to the following questions? [ Number 2 ]

This is also another puzzle I found on the internet. The link to the first one is here.

1. The first question with B as the correct answer is:

A. 1
B. 4
C. 3
D. 2

1. The answer to Question 4 is:

A. D
B. A
C. B
D. C

1. The answer to Question 1 is:

A. D
B. C
C. B
D. A

1. The number of questions which have D as the correct answer is:

A. 3
B. 2
C. 1
D. 0

1. The number of questions which have B as the correct answer is:

A. 0
B. 2
C. 3
D. 1

• So many people with the same time! Jun 7, 2015 at 14:21
• I was just writing my explanation as I solved it. Jun 7, 2015 at 14:29

1)C
2)D
3)B
4)C
5)B

Proof:

The answer to question 1 cannot be A (since then it would be B) or B (since then it couldn't be B), so it must be C or D. If it's D, then the answer to question 2 is B, so the answer to question 4 is A, so there are three D's (not answers to questions 2 or 4), so the answer to question 3 must be D, which contradicts question 1. So the answer to question 1 is C, which immediately means the answer to question 3 is B.

Now the answer to question 2 can't be A (since then the answer to question 4 would be D, which is self-contradiction), nor B or C (since then the answer to question 4 would be A or B and there would be at least two D's even though question 5 is the only one that could be D now). So the answer to question 2 is D, which immediately means the answer to question 4 is C.

The total number of B's must now be 1 or 2. If it's 1, then the answer to question 5 is D, so there are two D's, contradicting question 4. So there are two B's and the answer to question 5 is B.

• Aaaaahhh 14 seconds! Jun 7, 2015 at 14:17
• @leoll2 You wasted time editing the OP first! ;-) Jun 7, 2015 at 14:19
• That's true indeed! Jun 7, 2015 at 14:56

C,D,B,C,B

The explanation is as follows: