q: The average age of A, B and C is 27 years. If the average age of A and C is 29 years, what is the age of B in years ?
Options:
(A) 19
(B) 35
(C) 20
(D) 32
(E) 23
a: Stream of consciousness: Age of B = Age of (A + B + C) Age of (A + C) = 27 3 29 2 = 81 58 = 23 years The answer is (E).

question: If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 166
(C) 84
(D) 122
(E) 168
answer: Stream of consciousness: 10x = 8y = 14z
5x = 4y = 7z
5(4*7) = 4(5*7) = 7(5*4)
Addition = 28+20+35 = 83
Answer would be multiple of 83 which is 166 The answer is (B).

q: Which of the following is a prime number ?
Options:
(A) 33
(B) 81
(C) 97
(D) 93
(E) none
a: Stream of consciousness: Clearly, 97 is a prime number The answer is (C).

question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6
answer: Stream of consciousness: 21-12 < no of hrs < 21-6
9< no of hrs < 17. The answer is (D).

q: The average of five results is 48 and that of the first four is 45. The fifth result is?
Options:
(A) 50
(B) 60
(C) 70
(D) 80
(E) 90
a: Stream of consciousness: 5 * 48 4 * 45 = 60 The answer is (B).

q: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?
Options:
(A) 245000
(B) 367500
(C) 196000
(D) 171500
(E) None of these
a:
Stream of consciousness: Number of females = 156800 10080 = 196000
\ Number of males = 78 196000 = 171500
\ Total population = 196000 + 171500 = 367500 The answer is (B).