question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9
answer: Stream of consciousness: If he draws any combination of 3 socks he will definitely have the matching pair of either colour. The answer is (A).


q: The edge of a cube is 7a cm. Find its surface?
Options:
(A) 24a8
(B) 24a4
(C) 24a1
(D) 24a2
(E) 294a2
a: Stream of consciousness: 6a2 = 6 * 7a * 7a = 294a2 The answer is (E).


question: Twenty percent of Country Y's yearly exports come from fruit exports. One-fourth of all fruit exports from Country Y are orange exports. If country Y generates $20 million from its orange exports, how much money does it generate from its yearly total of exports?
Options:
(A) $21.25m
(B) $25.5m
(C) $106.25m
(D) $400m
(E) $153m
answer: Stream of consciousness: 20/100*1/4*(total) = 20
1/20*(total) = 20
(total) = 20*20 = 400 The answer is (D).


q: The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Options:
(A) 8
(B) 16
(C) 31
(D) 18
(E) 34
a: Stream of consciousness: Minimum age = Average - 1 Standard deviation = 35 - 30 = 5
Maximum age = average + 1 Standard deviation = 35+ 30 = 35
Maximum number of different ages of the applicants = 35- 5 + 1 = 31 The answer is (C).


question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Options:
(A) 280
(B) 290
(C) 300
(D) 340
(E) 360
answer: Stream of consciousness: Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer is (E).


question: A no.when divided by 223 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 7
(C) 9
(D) 11
(E) 15
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: 223 + 43 = 266/17 = 11 (Remainder) The answer is (D).