Net: 3 km West, 2 km South (4-2). She is Southwest of home.

If all students are hardworking and no lazy person is hardworking, then logically no student can be lazy.

Letters coded by position in alphabet. Z=26, E=5, B=2, R=18, A=1. Answer is 26-5-2-18-1

Pattern: 2¹+1=3, 2³-1=7, 2⁴-1=15, 2⁵-1=31, 2⁶-1=63, 2⁷-1=127. Each is 2ⁿ-1 where n starts at 2

Arrangement from left: T-P-S-Q-R-U. T is at left end, P-S-Q-R is the order given, U must be to the right of R

If ALL engineers are intelligent (Statement I), then NO engineer can be non-intelligent. The conclusion contradicts Statement I.

The only daughter of my mother = myself. So his mother is the woman. Therefore, the man is her son.

A is brother of B, B is sister of C (so A and C are siblings), C is mother of D. Therefore A is uncle of D.

P is male (father). T is male (brother). R's gender unclear. S's gender unclear. Q is female (mother). Insufficient information.

My mother's only son = myself (Arun). So the person is the son of Arun = Arun's son.