question: If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?
Options:
(A) 100
(B) 1000
(C) 500
(D) 2000
(E) None
answer: Stream of consciousness: 5 × 5 × x = 100 × 100 × 5 ⇒ x = 2000. The answer is (D).


q: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 287
(D) 200
(E) 212
a: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 12 = 200 meter The answer is (D).


question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Options:
(A) 17/91
(B) 33/91
(C) 51/91
(D) 65/91
(E) None of these
answer: Stream of consciousness: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91 The answer is (B).


q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Options:
(A) 624
(B) 702
(C) 756
(D) 812
(E) 832
a: Stream of consciousness: Total men are 7
Total women are 6 so we select 5 peoples in both and at least 3 are men
7c3*6c2+7c4*6c1+7c5*6c0 then we get the 756 The answer is (C).


question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
(A) 278
(B) 277
(C) 278
(D) 450
(E) 272
answer: Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450 The answer is (D).


question: 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
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: 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).