TCS Company Numerical Ability Co-ordinate geometry

At the center of a square of side 10 cms, another square of side 20 cms is hinged by one of its corners so that it can rotate freely about the hinge. Initially , the sides of the hinged square are parallel to the other fixed square . The hinged square is rotated slowly through an angel of 45 degrees. The area common to the squares.
Option
a) Keeps Increasing
b) Increases and then decreases
c) Decreases and then increases
d) Remains the same

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TCS Other Question
For all positive Integers n Less than 17329, define
13 for n divisible by 31 and 43
a n = 31 fro n divisible by 31 and 43
43 for n divisible by 13 and 31
0 otherwise

What is the value of
17329
an n=1
Option
a. 2295
b. 17329
c. 2892
d. 1738
 In school there some bicycles and 4 wheeler wagons. On Tuesday there are 58 wheels in the campus. How many bicycles are there ?
Option
a) 7
b) 8
c) 9
d) 6