Verbal Reasoning - Mental Ability Questions

A brother and sister daily leave home together to go to their respective schools. The brother goes 3 km North, then turns left and goes 1 km to reach his school. The sister goes 4 km West, then 3 km North, then turns left and goes 5 km to reach her school. Where is the brother's school with respect to the sister's school?

If 20&60 = 8, 40&80 = 12 and 10&20 = 3, then find the value of 20&50 = ?

If 40@8 = 50, 30@3 = 100 and 10@2 = 50, then find the value of 20@5 = ?

Rahul told Anand, 'Yesterday I defeated the only brother of the daughter of my grandmother.' Whom did Rahul defeat 

In the following question, select the missing number from the given series.

13, 17, 19, 23, 29, ?

A man pointing to a photograph says, 'The lady in the photograph is my nephew's maternal grandmother." How is the lady in the photograph related to the man's sister who has no other sister ?  

In the following question, select the missing number from the given series.

567, 189, 63, ?, 7

MABELA, MABLE, MABUSE, MABEPEARL, ?

If the above given words are arranged in the dictionary then the last word is