q: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 12 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 20 min.
a: Stream of consciousness: The ratio is 2:3 = gym:ride, so (12)(3/2) = 18 minutes at the gym, and 18 + 12 = 30 minutes exercise, so (2/3)(30) = 20 minutes yoga. The answer is (E).

question: How many numbers between 10 - 99 yield a reminder of 8 when divided by 10 and also yield a remainder of 2 when divided by 8?
Options:
(A) One
(B) Three
(C) Two
(D) Five
(E) Four
answer: Stream of consciousness: Answer = B) Three
Numbers between 10 - 99 giving remainder 8 when divided by 10 = 18, 28, 38, 48, 58, 68, 78, 88, 98
The above Numbers giving remainder 2 when divided by 8 = 18, 58, 98 = 3 The answer is (B).

q: John makes $60 a week from his job. He earns a raise andnow makes $84 a week. What is the % increase?
Options:
(A) 16.12%
(B) 16.66%
(C) 16.56%
(D) 40%
(E) 18.1%
a: Stream of consciousness: Increase = (24/60)*100 = (4/10)*100 = 40%. The answer is (D).

question: In what time a sum of money double itself at 6% per annum simple interest?
Options:
(A) 33 1/8%
(B) 33 1/3%
(C) 83 1/3%
(D) 33 4/3%
(E) 16 2/3%
answer: Stream of consciousness: P = (P*6*R)/100
R = 16 2/3% The answer is (E).

q: The average age of 11 boys is 50, if the average age of first six boys is 49 and that of the last six is 52. Find the boy age?
Options:
(A) 48
(B) 50
(C) 56
(D) 62
(E) 64
a: Stream of consciousness: 1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 550 = 56 The answer is (C).

q: The average age of a class of 14 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 25 Years
a:
Stream of consciousness: Total age of students is 14X10 = 140 Years
Total age inclusive of teacher = 15X (10+1) = 165
So, Teacher's age is 165-140 = 25 Yrs
There is a shortcut for these type of problems
Teacher's age is 10+(15X1) = 25 Years The answer is (E).