question: At the A-Street Fish Market a vendor sells fresh caught fish. His store is filled with 2/7 bass, 1/5 tuna, 1/7 trout, and the rest are catfish. If a customer just bought 1/7 of all the tuna and 1/7 of all the catfish, and a fisherman arrived to restock the bass, doubling the number of bass, what proportion of fish now in the store are trout?
Options:
(A) 30/71
(B) 4/7
(C) 5/43
(D) 1/2
(E) 1/5
answer: Stream of consciousness: Bass = 2/7 = 10/35
Tuna = 1/5 = 7/35
Trout = 1/7 = 5/35
Catfish = 1 - (10/35 +7/35 + 5/35) = 13/35
Purchased: Tuna = 7/35 - (7/35)(1/7) = 6/35, and
Catfish = 13/35 - (13/35)(1/7) = 12/35
Stocked: doubling the number of bass (2)(10/35) = 20/35
Now: 20 + 6 + 5 + 12 = 43
Trout proportion is now 5/43. The answer is (C).


q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 29
a: Stream of consciousness: (23/2) ( 2+3) * 2 = 29 = The answer is (E).


question: If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream
Options:
(A) 6 kmph
(B) 5 kmph
(C) 2 kmph
(D) 3 kmph
(E) 4 kmph
answer: Stream of consciousness: Speed upstream = 49/7 = 7 kmph
Speed down stream = 77/7 = 11kmph
Speed of stream = ½ (11-7) = 2 kmph The answer is (C).


q: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?
Options:
(A) 1/52
(B) 1/26
(C) 1/13
(D) 1/4
(E) 5/13
a: Stream of consciousness: There are 13 spades, the probability that the spade we already have is an ace is therefore 1/13. The answer is (C).


question: In what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way?
Options:
(A) 3 sec
(B) 4 sec
(C) 5 sec
(D) 6 sec
(E) 7 sec
answer: Stream of consciousness: T = 120/70 * 18/5 = 6 sec The answer is (D).


question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/9
(B) 7 1/8
(C) 7 1/3
(D) 7 1/2
(E) 7 1/1
answer:

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: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec The answer is (D).