A woman's son's mother's father's only daughter is the woman herself. What is the relation?
ALogical consistency
BLogical contradiction
CParadox
DValid
Correct Answer:
A. Logical consistency
EXPLANATION
Woman → Son's mother = Woman. Woman's father = Boy's grandfather. Grandfather's only daughter = Woman. This is logically consistent - she is indeed her son's mother and her father's only daughter.
Eight boxes labeled 1-8 are arranged in a line. Box 3 is between boxes 2 and 4. Box 5 is immediately right of box 4. Box 8 is immediately left of box 1. What is the arrangement?
A8,1,2,3,4,5,6,7
B1,2,3,4,5,6,7,8
C2,3,4,5,1,6,7,8
DCannot be determined
Correct Answer:
D. Cannot be determined
EXPLANATION
The constraints 'Box 3 between 2&4' and 'Box 5 right of Box 4' and 'Box 8 left of Box 1' create conflicting arrangements in a linear sequence. Box 8 cannot be immediately left of Box 1 in a line where boxes are numbered sequentially.
In a complex arrangement, 9 boxes are placed in 3 rows and 3 columns. Box at position (1,2) contains Red balls. Position (2,3) contains Green balls. Position (3,1) contains Blue balls. If you need to place Yellow balls such that no two colors share a row or column, where should Yellow go?
A(2,1)
B(2,2)
C(3,2)
D(1,3)
Correct Answer:
A. (2,1)
EXPLANATION
Red at (1,2) blocks row 1 and column 2. Green at (2,3) blocks row 2 and column 3. Blue at (3,1) blocks row 3 and column 1. Yellow must avoid: rows 1,2,3 and columns 1,2,3 - impossible for standard placement, but (2,1) conflicts with Blue's column 1. Rechecking: (1,3) at row 1 conflicts with Red's row. (2,1) at column 1 conflicts with Blue's column. Best option avoiding maximum conflicts: (2,1).
6 boxes are arranged in a row. Box 2 is heavier than Box 1. Box 4 is lighter than Box 3. Box 5 is heavier than Box 6. If Box 3 is heavier than all others, which box is the lightest?
ABox 1
BBox 6
CCannot be determined
DBox 4
Correct Answer:
C. Cannot be determined
EXPLANATION
While we know Box 4 < Box 3 and Box 6 < Box 5, we cannot definitively compare Box 1, 2, 4, and 6 to determine the lightest.
Seven containers are arranged in order. Container 3 has more items than Container 2. Container 5 has fewer items than Container 6. Container 7 has the most items. If Container 4 has more than Container 3, which container has more items: Container 2 or Container 5?
AContainer 2
BContainer 5
CBoth have equal items
DCannot be determined
Correct Answer:
D. Cannot be determined
EXPLANATION
The given conditions don't establish a direct comparison between Container 2 and Container 5.
In a linear arrangement of 8 seats, P, Q, R, S, T, U, V, W sit in a row. P sits at one end. Q sits 3rd from the left. T sits between R and S. U sits to the immediate right of Q. Who sits at the right end?
AV
BW
CCannot be determined
DT
Correct Answer:
C. Cannot be determined
EXPLANATION
Insufficient information provided about positions of all people relative to given constraints.
Seven students P, Q, R, S, T, U, V are ranked. T ranks higher than R. U ranks higher than Q but lower than S. P ranks lowest. How many students rank lower than Q?
A2
B3
CAt least 1
DCannot be determined
Correct Answer:
D. Cannot be determined
EXPLANATION
While we know P is lowest and relative positions of others, Q's exact position relative to all students cannot be uniquely determined from given constraints.
In a puzzle box, 5 items (Watch, Pen, Ring, Chain, Locket) are placed in 5 boxes. Watch is not in box 1 or 5. Ring is in box 3. Pen is immediately to the left of Chain. Locket is not adjacent to Ring. How many valid arrangements exist?
A1
B2
C3
D4
Correct Answer:
B. 2
EXPLANATION
With Ring at box 3, Pen-Chain in consecutive positions (boxes 1-2 or 4-5), Watch not at 1 or 5, and Locket not at 2 or 4, only 2 arrangements satisfy all constraints.
Six people A, B, C, D, E, F sit around a circular table. A sits opposite D. B sits between A and F. C is not adjacent to A. E sits to the right of A. How many arrangements are possible?
A1
B2
C4
D6
Correct Answer:
B. 2
EXPLANATION
With A opposite D, B between A and F, E to right of A, and C not adjacent to A, there are 2 valid arrangements satisfying all constraints.
