q: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/6 %
(B) 22 8/2 %
(C) 25 1/2 %
(D) 22 1/2 %
(E) 22 5/2 %
a: Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (D).


question: George's car calls for 8 ounces of oil for each cylinder used. His car's engine has 6 cylinders. If 16 ounces of oil has already been put into the engine used, then how many additional ounces of oil are needed?
Options:
(A) 16
(B) 48
(C) 64
(D) 32
(E) 8
answer: Stream of consciousness: Number of ounces per cylinder 8
Number of cylinders 6
Ounces needed 48
Ounces used 16 The answer is (D).


q: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 277
(C) 299
(D) 662
(E) 181
a: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).


question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 7 days?
Options:
(A) 2/5
(B) 7/18
(C) 1/4
(D) 1/9
(E) 2/6
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 7 days = 7 (1/18) = 7/18. The answer is (B).


q: A card shop contains 10 birthday cards, 10 holiday cards, and 9 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be of the same type?
Options:
(A) 3/29
(B) 12/58
(C) 12/840
(D) 7/841
(E) 12/841
a: Stream of consciousness: It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 1
Probability of choosing 2nd card of the same type: 4/29
Probability of choosing 3rd card of the same type: 3/29
Multiply and you get 12/841 The answer is (E).


q: A and B complete a work in 8 days. A alone can do it in 14 days. If both together can do the work in how many days?
Options:
(A) 5 days
(B) 8 days
(C) 6 days
(D) 3.15 days
(E) 2.75 days
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: 1/8 + 1/14 = 11/56
56/11 = 5 days The answer is (A).