Analytical Reasoning Question No. 85
The mixing vat in a factory receives liquid ingredients through 6 separate boxes— labeled L, M, N, O, P, and Q—each of which has exactly two settings: green and blue. The mixing-vat operator must ensure that each box is set green or blue according to the following conditions:
1. If N is green, both M and Q must be blue.
2. L and Q cannot both be blue at the same time.
3. If P is blue, Q must also be blue.
4. M and O cannot both be green at the same time.
1. If N is green, both M and Q must be blue.
2. L and Q cannot both be blue at the same time.
3. If P is blue, Q must also be blue.
4. M and O cannot both be green at the same time.
1. If Q is green, which of the following must be true?
2. If L is blue and O is green, which of the following must be true?
3. If the maximum numbers of boxes that can be blue at the same time are blue, which of the following must be true?
4. Which of the following, if given to the mixing-vat operator as an instruction, would NOT determine the setting of any other box?
📌 Constraint Recap
| Rule | Logical Equivalent / Meaning |
|---|---|
| 1. N green → (M blue ∧ Q blue) | If N is green → M & Q are forced blue |
| 2. ¬(L blue ∧ Q blue) | L and Q cannot both be blue |
| 3. P blue → Q blue | If P blue then Q must be blue |
| 4. ¬(M green ∧ O green) | M and O cannot both be green |
✅ Detailed reasoning & correct answer explanation inside video. All constraints logically derived.
