Elitmus Exam Numerical Ability Age Problem

IF x and y are real then is x positive?
1)x^2m and y^2n have same sigh given both m and n are positive integers.
2)Both x^m and Y^n are positive, Given m and n are consecutive integers.
DATA SUFFICIENCY

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Elitmus Other Question

New Public School has a circular layout. The school has teachers specializing in various subjects. All classrooms of the schol are equally spaced apart adn located along its perimeter. Each teacher needs to take 4 classes in a day. There is a strange rule. The first and last class has to be in the same class room. The other two classes have to be at two other distinct class rooms
Ques. Bharti is a history teacher. In addition to above rules of the school, she teachers exactly one pair of successive classes in adjacent classrooms. How many distinct trips to class rooms are possible for Bharti. IF there are 12 classrooms in the school.
A)120
B)96
C)576
D)496
Ques. Ram is a math teacher. He never teaches two successive classes at two adjacent classrooms. How many distinct trips to class rooms are possible for Ram if there are 9 classrooms in the school
A)72
B)324
C)30
D)180
What was the percentage profit in selling a litre of milk?
!) 15 litres of milk was sold at cost price after adding 20% of water
2) MIlk was purchased at Rs 16 per litre
(Data Sufficiency)