Mettl Logical Reasoning and Puzzles 4 — Questions and Answers
Question 1: A sequence follows the rule that each term equals the sum of the two preceding terms. If the 5th term is 12 and the 6th term is 20, what is the 4th term?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
Since 6th = 5th + 4th, we get 20 = 12 + 4th term, so 4th term = 8.
Question 2: All metals conduct electricity. Iron is a metal. Zinc is a metal. Carbon does not conduct electricity. Which fact contradicts the given premise?
- Iron is a metal
- Zinc is a metal
- Carbon does not conduct electricity (Correct answer)
- No contradiction exists
Correct answer: Carbon does not conduct electricity
If all metals conduct electricity but carbon does not, and carbon is sometimes classified as a semi-metal, this conflicts with the universal statement.
Question 3: Three switches in one room control three bulbs in another. You may flip switches freely, then visit the other room once. How do you identify all three bulbs?
- Turn on all three, then turn off one before entering
- Turn on switch 1 for a while, turn it off, then turn on switch 2, then enter (Correct answer)
- Turn on switch 1 only, then enter
- It is impossible in one visit
Correct answer: Turn on switch 1 for a while, turn it off, then turn on switch 2, then enter
The warm-off bulb maps to switch 1, the lit bulb maps to switch 2, and the cold-off bulb maps to switch 3.
Question 4: In a group of 50 students, 30 play cricket, 25 play football, and 10 play both. How many play neither sport?
- 5 (Correct answer)
- 10
- 15
- 20
Correct answer: 5
By inclusion-exclusion: 30 + 25 − 10 = 45 play at least one sport; 50 − 45 = 5 play neither.
Question 5: A train 200 m long passes a stationary pole in 10 seconds. How long will it take to pass a 300 m platform?
- 15 s
- 20 s
- 25 s (Correct answer)
- 30 s
Correct answer: 25 s
Speed = 200/10 = 20 m/s; total distance = 200 + 300 = 500 m; time = 500/20 = 25 s.
Question 6: If PENCIL is coded with each letter shifted +3 positions in the alphabet, what is the code?
- SHQFLO (Correct answer)
- SHQFLP
- RGPEKN
- SHQELP
Correct answer: SHQFLO
P+3=S, E+3=H, N+3=Q, C+3=F, I+3=L, L+3=O → SHQFLO.
Question 7: A mirror is placed vertically along the right side of the word 'BED'. What is the mirror image?
- DEB
- BED with each letter mirrored
- ƎЄᗺ
- The word reverses and each letter flips (Correct answer)
Correct answer: The word reverses and each letter flips
A vertical mirror placed to the right reverses the order of letters and flips each letter horizontally.
Mettl Logical Reasoning and Puzzles 4
A sequence follows the rule that each term equals the sum of the two preceding terms.
If the 5th term is 12 and the 6th term is 20, what is the 4th term?