q: In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Options:
(A) 72
(B) 76
(C) 100
(D) 113
(E) 112
a: Stream of consciousness: Diver = (5*3)+3 = 18
3* Quotient = 18
Quotient = 6
Dividend = (Divisor * Quotient) + Remainder
Dividend = (18* 6) + 5 = 113 The answer is (D).


question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Options:
(A) 25/153
(B) 28/153
(C) 5/17
(D) E=4/9
(E) E=12/17
answer: Stream of consciousness: P(at least one blue) = 1 - P(0 blue) = 1 - 10/18*9/17 = 12/17. The answer is (E).


q: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?
Options:
(A) 3
(B) 6
(C) 9
(D) 18
(E) 22
a: Stream of consciousness: The trains will travel the perimeter of the circle which is 12π miles. The relative speed of the trains is 2π miles per hour. Time taken to meet = 12π/2π = 6 hours The answer is (B).


question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10000
(B) 28869
(C) 10002
(D) 18089
(E) 10004
answer: Stream of consciousness: 100 * 100 = 10000
125 * 80 = 10000 The answer is (A).


q: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 500 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 340
(B) 346
(C) 352
(D) 365
(E) 370
a: Stream of consciousness: Number of newborns that can die in first month = 1/10 * 500 = 50
Survived = 450
Number of newborns that can die in second month = 1/10 * 450 = 45
Survived = 405
Number of newborns that can die in third month = 1/10 * 405 = 40
Survived = 365 The answer is (D).


q: There are 25 balls in a jar. You take out 5 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?
Options:
(A) 12.
(B) 9.
(C) 8.
(D) 7.
(E) 6.
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: 9 = 5 blue balls + 20/ 5 The answer is (B).