question: The average age of a family of 6 members is 34 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) 15
(B) 18
(C) 21
(D) 12
(E) 27
answer: Stream of consciousness: Present age of total members = 6 X 34 = 204
7 yrs back their ages were = 6 x 7 = 42
Ages at the birth of youngest member = 204 - 42 = 162
Therefore, avg age at the birth of youngest member = 162/6 = 27. The answer is (E).

q: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?
Options:
(A) y + 3z
(B) (y +z) / 4
(C) 2y + 3z
(D) z/2
(E) 3y + 4.5z
a: Stream of consciousness: Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z. The answer is (D).

question: What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?
Options:
(A) 2345
(B) 4500
(C) 5000
(D) 6000
(E) 7000
answer: Stream of consciousness: 2000 + 300 + 40 + 5 = 2345 The answer is (A).

q: Find the product of the local value and absolute value of 4 in 20468?
Options:
(A) 1000
(B) 1200
(C) 1340
(D) 1450
(E) 1600
a: Stream of consciousness: Local value of 4 = 4 x 100 = 400
Place value of 4 = 4
There fore = 4 x 400 = 1600 The answer is (E).

question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 4 respectively. If P invested Rs. 500000, the amount invested by Q is:
Options:
(A) 5000000
(B) 4000000
(C) 1000000
(D) 6000000
(E) None
answer: Stream of consciousness: Suppose Q invested Rs. y. Then, 500000/y = 2/4 or y = [500000 x 4 / 2] = 1000000. The answer is (C).

question: The H.C.F. of two numbers is 12 and their L.C.M. is 520. If one of the numbers is 480, then the other is:
Options:
(A) 13
(B) 18
(C) 21
(D) 24
(E) 38
answer:
Stream of consciousness: Other number = (12 x 520)/480 = 13. The answer is (A).