Q31. 
$P$ and $Q$ sit in a ring arrangement with 10 persons. What is the probability that $P$ and $Q$ will sit together? 
A.  2/11 

B.  3/11 

C.  2/9 

D.  4/9 
Q32. 
Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY' the two I's come together. 
A.  1/7 

B.  3/5 

C.  5/11 

D.  1/5 
Q33. 
From a bag containing 4 white and 5 black balls a man drawn 3 balls at random. What are the odds against these balls being black? 
A.  5/37 

B.  37/5 

C.  11/13 

D.  13/37 
Q34. 
Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice. 
A.  5/12 

B.  11/36 

C.  5/36 

D.  13/36 
Q35. 
In a race where 12 cars are running, the chance that car $X$ will win is 1/6, that $Y$ will win is 1/10 and that $Z$ will win is 1/8. Assuming that a dead heat is impossible. Find the chance that one of them will win. 
A.  47/120 

B.  1/480 

C.  1/160 

D.  1/240 