question: All of the bonds on a certain exchange are designated by a 3-letter, a 4-letter, or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different bonds that can be designate with these codes?
Options:
(A) 26(26^3 + 26^4) 
(B) 26(26^3 + 26^5) 
(C) 27(26^3 + 26^5) 
(D) 27(26^3)  + 26^5
(E) 26^3 + 27(26^5) 
answer: Stream of consciousness: 3-letter codes = 26^3;
4-letter codes = 26^4;
5-letter codes = 26^5;
Total = 26^3 + 26^4 + 26^5 = 26^3(1+26) + 26^5 = 26^3*27 + 26^5. The answer is (D).


q: The average of first 13 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
a: Stream of consciousness: Sum of 13 even numbers = 13 * 14 = 110
Average = 182/13 = 14 The answer is (E).


question: In what time will a bus 200 m long cross in the road, if its speed be 72 km/hr?
Options:
(A) 15
(B) 20
(C) 14
(D) 10
(E) 12
answer: Stream of consciousness: Speed = 72 * 5/18 = 20 m/sec
Time taken = 200/20 = 10 sec. The answer is (D).


q: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 10 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.
a: Stream of consciousness: The ratio is 2:3 = gym:ride, so (10)(3/2) = 15 minutes at the gym, and 15 + 10 = 25 minutes exercise, so (2/3)(25) = 17 minutes yoga. The answer is (C).


question: Find the odd man out
253, 136, 352, 326, 631, 244
Options:
(A) 326
(B) 136
(C) 352
(D) 631
(E) 531
answer: Stream of consciousness: The sum all three digits comes to 10 except 326 The answer is (A).


question: The area of a triangle is with base 12m and height 5m?
Options:
(A) 88 m2
(B) 30 m2
(C) 66 m2
(D) 77 m2
(E) 31 m2
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: 1/2 * 12 * 5 = 30 m2 The answer is (B).