Verbal Reasoning - Mental Ability Questions

Raj is facing north. He cycles for 8 km, then turns towards the south-east direction to move 10 km and from there, he moves 6 km towards the west. In which direction/place is he from his original position?

A is D's brother. D is B's father. B&C are sisters. How is C related to A?

In the following question, select the related number from the given alternatives.
9143 : 9963 : : 6731 : ?

If 'P 3 Q' means 'P is daughter of Q', 'P 5 Q' means 'P is father of Q', 'P 7 Q' means 'P is mother of Q' and 'P 9 Q' means 'P is sister of Q', then how is J related to K in J 3 L 9 N 3 O 5 K?

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?

50 + 3 ÷ 125 x 5 - 25 = ?

If 8 θ 12 δ 6 = 60 and 13 θ 15 δ 11 = 74, then 18 θ 21 δ 15 = ?

In the following question, select the related word from the given alternatives.
Kilometre : Metre : : Tonne : ?

Each  of  the  following  questions has   four   statements.   Three   are   logically correct.  Some  of  which  may  look  factually absurd.  Ignore  this  absurdity  and  look  to  the logical   corrections.   Choose   the   statement which is wrong or doubtful:-