q: How many factors does 35^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 26
a: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 6*4 = 24 The answer is (C).

question: There are 24 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
answer: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 24 + 28 - 12 = 40. The answer is (B).

q: A 2015 model car had an average mileage of 38 miles per gallon, when the car wight was 180 kilograms. An upgraded version of the car in 2016 gave a mileage of 43 miles per gallon and the car weight was reduced to 150 kilograms. By approximately what percent did the mileage of the car to the weight of the car improve?
Options:
(A) 28
(B) 43
(C) 36
(D) 19
(E) 37
a: Stream of consciousness: Initial mileage/weight ratio = 38/180 = 190/900
Revised mileage/weight ratio = 43/150 = 258/900 The answer is (C).

question: Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989?
Options:
(A) 8%
(B) 25%
(C) 41%
(D) 59%
(E) 70%
answer: Stream of consciousness: Dick saved = $ 3240
Jane saved = $ 1760 (jane saved $1240 less than she did the prior year)
Jane saved approximately $1240/$3000 (close to 41%) less in 1990 The answer is (C).

q: The edge of a cube is 6a cm. Find its surface?
Options:
(A) 216a2
(B) 24a4
(C) 24a1
(D) 24a2
(E) 24a7
a: Stream of consciousness: 6a2 = 6 * 6a * 6a = 216a2 The answer is (A).

q: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
(A) 20 Kmph
(B) 15 Kmph
(C) 30 Kmph
(D) 32 Kmph
(E) 34 Kmph
a:
Stream of consciousness: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph The answer is (B).