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: 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).


question: A Train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.
Options:
(A) 60 kmph
(B) 75 kmph
(C) 80 kmph
(D) 85 kmph
(E) 72 kmph
answer: Stream of consciousness: In 12s the train crosses the pole and in 27 sec the train crosses one more stationary train
In 15 sec the train travels a distance of 300 mtrs
Speed = 300/15 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph The answer is (E).


q: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 820 gallons
(B) 128 gallons
(C) 120 gallons
(D) 129 gallons
(E) 220 gallons
a: Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 3 gallons\
Volume of whole = 3 * 40 = 120 gallons. The answer is (C).


question: For integers U and V, when U is divided by V, the remainder is even. Which of the following must be true?
Options:
(A) U is odd
(B) At least one of U and V is odd
(C) The sum U + V is odd
(D) U and V share no common factors other than 1
(E) UV is odd.
answer: Stream of consciousness: At least one of U and V is odd The answer is (B).


q: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Options:
(A) 125/127
(B) 127/125
(C) 125/126
(D) 126/125
(E) 126/127
a: Stream of consciousness: Required probability = 1 - 1/126 = 125/126 The answer is (C).


q: The measure of the side of a square is multiplied by 7. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 7x
(D) 12x
(E) 27x
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 7x/4
New perimeter = 4*7x/4 = 7x The answer is (C).