TIFR PHD CS & SS 2011

Question 1
If either wages or prices are raised, there will be inflation. If there is inflation, then either the government must regulate it or the people will suffer. If the people suffer, the government will be unpopular. Government will not be unpopular. Which of the following can be validly concluded from the above statements.
A
People will not suffer
B
If the inflation is not regulated, then wages are not raised
C
Prices are not raised
D
If the inflation is not regulated, then the prices are not raised
E
Wages are not raised
Question 2
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
A
(6+3)! / 2!
B
6! / 2!
C
(3!3!) / 2!
D
(4!3!) / 2!
Question 3
The probability of three consecutive heads in four tosses of a fair coin is
A
1/4
B
1/8
C
1/16
D
3/16
E
None of the above
There are 3 questions to complete.