HCL Company Verbal Ability Antonyms

In a murder case there are four suspects P,Q,R,S. Each of them makes a statement. They are p:
"I had gone to the theatre with S at the time of the murder".q: "I was playing cards with P at the time
of the murder".r: "Q didn't commit the murder".s: "R is not the murderer".Assuming the only one of the
above statement is false and that one of them is the murderer, who is the murderer?
a) P
b) Q
c) R
d) Cann't be concluded
e) S

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HCL Other Question

What does the hexa number E78 in radix 7.
(a) 12455
(b) 14153
(c) 14256
(d) 13541
Q is not equal to zero and k = (Q x n - s)/2.What is n?
(a) (2 x k + s)/Q
(b) (2 x s x k)/Q
(c) (2 x k - s)/Q
(d) (2 x k + s x Q)/Q
(e) (k + s)/Q