April 08, 2011

Where Is Alex Standing!


Forty students are standing in a grid of 8 x 5. Alex is one of them. The students are standing in a special manner. The students in the top row are numbered 1 to 8 from left to right, with the students in the remaining rows similarly numbered (as shown). Given are the clues. Find, on the basis of these clues, where is Alex.
XXXXXXXX (1-8)
XXXXXXXX (9-16)
XXXXXXXX (17-24)
XXXXXXXX (25-32)
XXXXXXXX (33-40)
Clues:
(1) There are 20 boys & 20 girls.
(2) Each row & column has at least two girls, but no more than four girls.
(3) Every girl borders at least one girl.
(4) Girls are located at positions that are prime numbers.
(5) Boys are located at positions that are either squares or cubes
(6) Alex is surrounded by unique number of girls.

Trouble triplets

 There are triplet brothers. They look identical. The eldest is John, who always speaks truth. Second is Richard, who always speaks lies. Third is Larsen, who either speaks truth or lies. One day Stephen visited them. He was wondering about their identities. So he asked each person a question. He asked the one who was on the left: “Who is the guy sitting in the middle?” The answer came was “He is John”. He asked the one who was in the middle: “What is your name?” the answer was “I am Larsen”. He asked one who was on the right: “Who is the guy sitting in the middle?” The answer was “He is Richard”. Stephen got really confused. In fact he asked the same question to 3 different people, got 3 different answers. Would you help Stephan in finding the real sequence?