Reasoning

Correct answer: D

There are 3 layers, each containing 3 × 3 cubes.

Correct answer: C

The path forms perpendicular sides. Distance = √((3)²+(4)²).

Correct answer: B

I is correct: A person faces east and turns 270 degrees clockwise; final direction → North. East→south→west→north is a 270-degree clockwise turn. II is correct: A man points to his father's father; that person's relation to him → Paternal grandfather. The relation passes through the father.

Correct answer: A

The distance is √(8²+6²)=10.

Correct answer: D

I is incorrect: K is L's wife and L is M's brother; K's relation to M → Sister-in-law. K is married to M's sibling. II is incorrect: F is G's son and G is H's sister; F's relation to H → Nephew. F is a male child of H's sibling.

Correct answer: C

Both displacements point north.

Correct answer: D

I is correct: R is S's father and S is T's sister; R's relation to T, assuming S and T share both parents → Father. Shared parentage makes R the father of both siblings. II is correct: A is B's mother and B is C's father; A's relation to C → Paternal grandmother. A is the mother of C's father.

Correct answer: A

East→south→west→north is a 270-degree clockwise turn.

Correct answer: B

I is correct: A person moves 8 km west then 6 km south; straight-line distance from the start → 10 km. The distance is √(8²+6²)=10. II is correct: A person walks 4 km east then 3 km north; straight-line distance from the start → 5 km. The legs form a 3-4-5 right triangle.

Correct answer: D

I is correct: Town X is east of Y and Z is south of X; direction of Z from Y → Southeast. The net movement from Y is east and south. II is incorrect: A woman points to her mother's only son; that person's relation to her → Brother. Her mother's only son is her male sibling.

Correct answer: A

K is married to M's sibling.

Correct answer: C

I is correct: A person faces north and turns right twice; final direction → South. Two right-angle turns reverse the starting direction. II is correct: R is S's father and S is T's sister; R's relation to T, assuming S and T share both parents → Father. Shared parentage makes R the father of both siblings.

Correct answer: B

P is the spouse of R's daughter.

Correct answer: D

I is incorrect: A person moves 2 km south and 2 km west; direction from the start → Southwest. Both southerly and westerly components remain. II is correct: A person moves 8 km west then 6 km south; straight-line distance from the start → 10 km. The distance is √(8²+6²)=10.

Correct answer: A

Her mother's only son is her male sibling.

Correct answer: D

I is incorrect: Town X is east of Y and Z is south of X; direction of Z from Y → Southeast. The net movement from Y is east and south. II is correct: A person faces west and turns left; final direction → South. A left turn from west points south.

Correct answer: A

I is correct: R is S's father and S is T's sister; R's relation to T, assuming S and T share both parents → Father. Shared parentage makes R the father of both siblings. II is incorrect: Town P is north of Q and Q north of R; direction of P from R → North. Both displacements point north.

Correct answer: C

M is a female child of O's child.

Correct answer: B

I is correct: A person faces west and turns left; final direction → South. A left turn from west points south. II is incorrect: A person walks 4 km east then 3 km north; straight-line distance from the start → 5 km. The legs form a 3-4-5 right triangle.

Correct answer: D

I is incorrect: A person moves 5 km north, 5 km east, then 5 km south; location from the start → 5 km east. The north and south movements cancel. II is incorrect: P is Q's husband and Q is R's daughter; P's relation to R → Son-in-law. P is the spouse of R's daughter.

Correct answer: C

The relation passes through the father.

Correct answer: B

I is incorrect: A person faces north and turns right twice; final direction → South. Two right-angle turns reverse the starting direction. II is incorrect: A woman points to her mother's only son; that person's relation to her → Brother. Her mother's only son is her male sibling.

Correct answer: A

Shared parentage makes R the father of both siblings.

Correct answer: C

I is correct: A person faces east and turns 270 degrees clockwise; final direction → North. East→south→west→north is a 270-degree clockwise turn. II is correct: A person moves 8 km west then 6 km south; straight-line distance from the start → 10 km. The distance is √(8²+6²)=10.

Correct answer: A

P is the brother of R's mother.