Problem #1

A code breaker working for a secret government agency is listening to an encrypted conversation between two individuals. The first line of conversation from party A is encoded in binary digits and is transmitted in electronic bursts. The binary digits, when translated into decimal digits, give the transmission as:

9   113   19113
238120    919    25152118    141135

Translate the two lines above in English.

Problem #2

If P has Cartesian coordinates x and y, i.e. and polar coordinates of P are r and theta, i.e. such that

In the polar system the value of will be given by:

a)
b)
c)
d) None of the above

Problem #3

Radio active decay is given by a function (expressed for time of survival, ):

The mean survival time, which can be found out by integrating the above equation from 0 to 1 will therefore be given by:

a) 
b) 
c) 
d) 

Problem #4

A Senior Vice President of a bank is trying to organize team(s) from a total of 16 persons in his foreign exchange trading department such that he optimizes his objectives: the team would need minimal external coordination or monitoring and the cost of such external coordination is minimal. The optimal size of a team, that exactly matches productivity equivalent to the size of the team, would be:

(a) 1 (i.e. 16 teams)
(b) 2 (i.e. 8 teams)
(c) 4 (i.e. 4 teams)
(d) 16 (i.e. 1 team)
(e) None of the above;

Problem #5

Pick the odd figure out:

(a) Sphere;
(b) cube;
(c) pyramid;
(d) square;

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