Six boys B1, B2, B3, B4, B5 and B6 have six different phones P1, P2, P3, P4, P5 and P6 (not necessarily in the same order). B3 has P6. B1 does not have P3 or P4. B4 does not have P2, P3 or P5. B6 has P1. B5 does not have P3 or P5. Which phone does B2 have?
- ((a))
P3
- ((b))
P5
- ((c))
P4
- ((d))
P2
Show Answer
P3
Step 1. B3 has P6. And B6 has P1.
| Boys | Phone |
|---|---|
| B1 | |
| B2 | |
| B3 | P6 |
| B4 | |
| B5 | |
| B6 | P1 |
Step 2. B4 does not have P2, P3 or P5 and P6 and P1 is already taken by B3 and B6 respectively. So, B4 has P4.
| Boys | Phone |
|---|---|
| B1 | |
| B2 | |
| B3 | P6 |
| B4 | P4 |
| B5 | |
| B6 | P1 |
Step 3. B5 does not have P3 or P5. Then B5 has P2
| Boys | Phone |
|---|---|
| B1 | |
| B2 | |
| B3 | P6 |
| B4 | P4 |
| B5 | P2 |
| B6 | P1 |
Step 4. B1 does not have P3 or P4. Then B1 has P5 and B2 has P3.
| Boys | Phone |
|---|---|
| B1 | P5 |
| B2 | P3 |
| B3 | P6 |
| B4 | P4 |
| B5 | P2 |
| B6 | P1 |
Hence, the correct answer is P3.
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