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Six friends – Amy, Ben, Carl, Dee, Eve and Fay – sit evenly spaced around a round table, as shown. - Amy...

26. Six friends – Amy, Ben, Carl, Dee, Eve and Fay – sit evenly spaced around a round table, as shown.
- Amy sits directly opposite Ben.
- Carl sits next to Amy.
- Dee sits directly opposite Carl.
- Eve sits next to Ben.
Who sits directly opposite Eve?
(A) Amy
(B) Carl
(C) Dee
(D) Fay
27. At a meeting, each of the 5 class prefects shakes hands with every other prefect once. How many handshakes are there altogether?
(A) 5
(B) 10
(C) 20
(D) 25
28. Read the statements.
- All the shops in Santa Cruz close at 6 p.m. on Sundays.
- Miss Lee’s shop is in Santa Cruz.
Conclusion I: Miss Lee’s shop closes at 6 p.m. on Sundays.
Conclusion II: Miss Lee’s shop is open at 7 p.m. on Mondays.
Which conclusion(s) MUST be true?
(A) I only
(B) II only
(C) both I and II
(D) neither I nor II

Answer

  1. Answer: (C) Dee.
    Explanation: The seating arrangement is as follows: Amy is opposite Ben, Carl is next to Amy, Dee is opposite Carl, and Eve is next to Ben. Therefore, Dee sits directly opposite Eve.

  2. Answer: (B) 10.
    Explanation: The number of handshakes is calculated using the formula n(n-1)/2, where n is the number of people. For 5 people, it is 5(5-1)/2 = 10.

  3. Answer: (A) I only.
    Explanation: Conclusion I is true because Miss Lee’s shop is in Santa Cruz, where all shops close at 6 p.m. on Sundays. Conclusion II cannot be deduced from the given information.

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