Q16. 
Dexter was born between October $6^{th}$ and $10^{th}$ ($6^{th}$ and $10^{th}$ excluding). His year of birth is also known. What is the probability of Dexter being born on a Saturday? 
A.  0 or 3/7 

B.  1/7 or 3/7 

C.  1/3 or 1/7 

D.  Cannot be determined 
Q17. 
If the integers $m$ and $n$ are chosen at random from integers 1 to 100 with replacement, then the probability that a number of the form $7^{m}+7^{n}$ is divisible by 5 equals: 
A.  $\dfrac{1}{4}$ 

B.  $\dfrac{1}{7}$ 

C.  $\dfrac{1}{8}$ 

D.  $\dfrac{1}{49}$ 
Q18. 
The probabilities that a student pass in Mathematics, Physics and Chemistry are $m$, $p$, $c$ respectively. Of these subjects the student has a 75 % chance of passing in at least one, a 50% chance of passing in at least two and 40 % chance of passing in exactly two. Which of the following relations are true ? 
A.  $p+m+c=\dfrac{19}{20}$ 

B.  $p+m+c=\dfrac{27}{20}$ 

C.  $pmc=\dfrac{1}{10}$ 

D.  $pmc=\dfrac{1}{4}$ 