question: a contract was signed to complete a job in 30 days. after how many days can 5 men leave then so that the job can be completed in 35 days
Options:
(A) 30 days.
(B) 35 days.
(C) 45 days.
(D) 55 days.
(E) 65 days.
answer: Stream of consciousness: If no of men used initially is x, then after (35-x) days 5 men can leave so that the job can be completed in 35 days. The answer is (B).


q: Find the third proportional to 4 and 16?
Options:
(A) 80
(B) 12
(C) 64
(D) 78
(E) 72
a: Stream of consciousness: Formula = Third proportional = (b × b)/a
A = 4 and B = 16
(16 × 16)/ 4 = 256/4 = 64 The answer is (C).


question: A card shop contains 5 birthday cards, 4 holiday cards, and 3 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be graduation cards?
Options:
(A) 1/33
(B) 6/264
(C) 1/44
(D) 1/264
(E) 1/1320
answer: Stream of consciousness: It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 3/12
Probability of choosing 2nd card of the same type: 2/11
Probability of choosing 3rd card of the same type: 1/10
Multiply and you get 1/264 The answer is (D).


q: Rs.600 amounts to Rs.900 in 3 years at simple interest. If the interest is increased by 4%, it would amount to how much?
Options:
(A) 672
(B) 246
(C) 258
(D) 856
(E) 653
a: Stream of consciousness: (600*3*4)/100 = 72
600 + 72 = 672 The answer is (A).


question: 252 can be expressed as a product of primes as :
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 2 x 3 x 7
(C) 3 x 3 x 3 x 3 x 7
(D) 2 x 3 x 3 x 3 x 7
(E) 2 x 3 x 7 x 3 x 2
answer: Stream of consciousness: 252 = 2 x 2 x 3 x 3 x 7. The answer is (A).


question: Which one of the following is a prime number?
Options:
(A) 45
(B) 90
(C) 81
(D) 29
(E) 91
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: 73 is divisible by 1 and itself So, it is a prime number. The answer is (D).