Mettl Logical Reasoning 5 — Questions and Answers
Question 1: In a certain code, 'red pen ink' means '3 6 9' and 'ink blue sky' means '9 1 5'. What is the code for 'ink'?
- 3
- 6
- 9 (Correct answer)
- 1
Correct answer: 9
'ink' is the common word in both phrases and '9' is the common code, so ink = 9.
Question 2: If the 15th of a month falls on Wednesday, what day is the 28th of the same month?
- Monday
- Tuesday
- Wednesday (Correct answer)
- Thursday
Correct answer: Wednesday
28 − 15 = 13 days later; 13 mod 7 = 6 days after Wednesday = Tuesday — wait, 13 days after Wednesday: Wed+13=Tue. The 28th falls on Tuesday.
Question 3: What comes next in the letter pattern: Z, X, V, T, R, ?
- P (Correct answer)
- Q
- O
- S
Correct answer: P
Each letter skips one letter backward in the alphabet (Z, X, V, T, R, P).
Question 4: Conclusion: 'No doctors are lazy. Ram is lazy. Therefore Ram is not a doctor.' Is this valid?
- Valid — contrapositive applies (Correct answer)
- Invalid — the premises are assumptions
- Valid — it follows from direct syllogism
- Invalid — Ram could still be a doctor
Correct answer: Valid — contrapositive applies
By contrapositive of 'no doctors are lazy': if lazy, then not a doctor — so the conclusion is valid.
Question 5: A box contains 3 red, 4 blue, and 5 green balls. One ball is drawn at random. What is the probability it is NOT green?
- 5/12
- 7/12 (Correct answer)
- 1/2
- 2/3
Correct answer: 7/12
Non-green balls = 3+4 = 7 out of 12 total, so probability = 7/12.
Question 6: Which argument contains a circular reasoning fallacy?
- The Bible is true because God wrote it, and God exists because the Bible says so (Correct answer)
- Exercise improves health because studies confirm it
- All mammals breathe air; dolphins breathe air; so dolphins are mammals
- The new policy failed because its results were poor
Correct answer: The Bible is true because God wrote it, and God exists because the Bible says so
Using the Bible to prove God and God to prove the Bible is circular — each claim relies on the other as its premise.
Question 7: P is taller than Q. R is shorter than S. S is shorter than P. Who is the tallest?
- P (Correct answer)
- Q
- R
- S
Correct answer: P
S < P and Q < P, so P is taller than both S and Q; P is the tallest.
Mettl Logical Reasoning 5
In a certain code, 'red pen ink' means '3 6 9' and 'ink blue sky' means '9 1 5'.
What is the code for 'ink'?