Q: At a meeting of the 5 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 5 Chiefs of Staff be seated around a circular table?
Options:
(A) 120
(B) 480
(C) 960
(D) 2520
(E) 5040
A: OK... Stream of consciousness: Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer D (2520), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect?
The answer is (D).

Q: The average mark obtained by 22 candidates in an examination is 48. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 0
(C) 49
(D) 58
(E) 66
A: OK... Stream of consciousness: It is clear that 22 x 48 = 10 x 55 + K + 11 x 40 K = 66
The answer is (E).

Q: A shipment of 8 TV sets contains 4 black and white sets and 4 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
Options:
(A) 1/7
(B) 11/14
(C) 5/14
(D) 11/28
(E) 13/28
A: OK... Stream of consciousness: 4/8 * 3/7 = 12/56
1-(12/56) = 44/56 = 11/14
The answer is (B).

Q: What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?
Options:
(A) 1/9 sq units.
(B) 4/9 sq units.
(C) 8/9 sq units.
(D) 7/9 sq units.
(E) 6/9 sq units.
A:
OK... Stream of consciousness: Area will be 2/3 *4/3 = 8/9 sq units.
The answer is (C).