question: In an office, 60 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A) 96
(B) 64
(C) 50
(D) 144
(E) 160
answer: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(60/100)*Workers = x+16 = > x = 96 The answer is (A).

q: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Options:
(A) Sunday
(B) Friday
(C) Saturday
(D) Monday
(E) Tuesday
a: Stream of consciousness: Given that 8th Feb, 2005 was Tuesday
Number of days from 8th Feb, 2004 to 7th Feb, 2005 = 366 (Since Feb 2004 has 29 days as it is a leap year)
366 days = 2 odd days
Hence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday The answer is (A).

question: Which of the following is equal to (x+1)!/x!?
Options:
(A) x-1
(B) 1+(1/x)
(C) 1
(D) x+1
(E) x
answer: Stream of consciousness: (x + 1)! = (x + 1) * x!
(x + 1)!/x! = x + 1 The answer is (D).

q: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 49 sec
(E) 60 sec
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

question: Which of the following is a prime number ?
Options:
(A) 27
(B) 45
(C) 97
(D) 98
(E) 100
answer: Stream of consciousness: Clearly, 97 is a prime number. The answer is (C).

question: The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Options:
(A) 33
(B) 18
(C) 21
(D) 12
(E) 19
answer:
Stream of consciousness: Present age of total members = 6 X 40 = 240
7 yrs back their ages were = 6 x 7 = 42
Ages at the birth of youngest member = 240 - 42 = 198
Therefore, avg age at the birth of youngest member = 198/6 = 33. The answer is (A).