All professors are knowledgeable. Some knowledgeable people are not teachers. Which of the following must be true?
ASome professors are not teachers
BAll teachers are professors
CNo professors are teachers
DSome professors are teachers
Correct Answer:
A. Some professors are not teachers
EXPLANATION
Professors ⊂ Knowledgeable. Some knowledgeable people are not teachers. Therefore, some of those non-teachers in the knowledgeable group could be professors. A must be true.
In a seating arrangement, 6 people sit around a hexagonal table. M is 2 seats away from N (clockwise). K is opposite to M. Who sits between K and N (clockwise)?
AM
BCannot be determined
COpposite to M
DThe person clockwise from N
Correct Answer:
B. Cannot be determined
EXPLANATION
We know M, N (2 seats away clockwise), and K (opposite M). But without knowing other people's positions or exact starting point, the person between K and N cannot be uniquely determined.
In a logic puzzle, 6 boxes are arranged left to right. Red box is 3 positions from left. Green is 2 right of Yellow. Blue is immediate left of Red. If there are only 4 colors, where is Yellow?
A1st position
B2nd position
C4th position
D5th position
Correct Answer:
A. 1st position
EXPLANATION
Red at 3, Blue at 2. Green 2 right of Yellow: if Yellow at 1, Green at 3. But Red at 3. If Yellow at 4, Green at 6. This works: Blue(2), Red(3), Yellow(4), Green(6). Yellow at position 4... Rechecking: Yellow could be at 1 if Green at 3, but Red there. So Yellow at 4.
Five people A, B, C, D, E have different heights. C is taller than D but shorter than A. B is taller than E. A is taller than B. Who is the second tallest?
AA
BB
CC
DCannot be determined
Correct Answer:
D. Cannot be determined
EXPLANATION
Order: A > C > D and A > B > E. Without knowing relationship between C and B exactly, second tallest cannot be definitively determined.
Pointing at a man in a photograph, a woman says, 'His mother's only child's mother is my mother.' What is the relationship?
ABrother
BHusband
CFather
DSon
Correct Answer:
B. Husband
EXPLANATION
His mother's only child = the man himself. The man's mother = the woman's mother. This means they're siblings, or the woman is pointing at her husband (if we interpret differently). The answer is husband.
Eight people sit around a square table with two on each side. P sits opposite to Q. R sits to the immediate left of P. S sits opposite to R. How many people sit between S and Q (clockwise)?
A2
B1
C3
DCannot be determined
Correct Answer:
A. 2
EXPLANATION
In a square table arrangement with 2 people per side: P and R on one side (R left of P), Q opposite P, S opposite R. Going clockwise from S to Q, there are 2 people between them.
If West is called North, North is called East, East is called South, South is called West, then which direction is to the left when facing South?
AEast
BNorth
CWest
DSouth
Correct Answer:
C. West
EXPLANATION
South is called West in new terminology. When facing 'called West' (actual South), left side is actual East, which is called South. So answer is actual West.
Seven people A, B, C, D, E, F, G sit around a circular table facing the center. D sits second to the left of A. B sits third to the right of A. E sits between C and F. Who sits to the immediate right of G?
AC
BE
CF
DA
Correct Answer:
A. C
EXPLANATION
Using circular arrangement logic: A's position is fixed. D is 2nd to left (clockwise from A's perspective). B is 3rd to right. E between C and F helps determine the remaining positions. C sits to immediate right of G.
Six people A, B, C, D, E, F sit around a square table (one on each side, two at each corner). D is opposite to B. C is to the left of D. E is at a corner. Which position is A most likely to occupy?
AOpposite to C
BAdjacent to E
COpposite to E
DCannot be determined
Correct Answer:
C. Opposite to E
EXPLANATION
Square table with 6 people (4 sides + 2 corners). D opposite B. C left of D. E at corner. A's position determined by elimination. A is opposite to E.
