q: 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)
a: 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).

question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Options:
(A) a) 65/9
(B) b) 7
(C) c) 25
(D) d) 45
(E) e) 81
answer: Stream of consciousness: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 15. The other answer choices are too far apart so no need to calculate. The answer is (B).

q: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96
(E) 95
a: Stream of consciousness: A prime factors are 3 and 11. 33<sqrt(99)? no
B prime factors are 2 and 7. 14<sqrt(98)? no
C prime number. its sqrt is never greater than itself
D A prime factors are 2 and 6. 6<sqrt(96)? yes
E prime factors are 5 and 19. 45<sqrt(95)? no The answer is (D).

question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 228
(B) 162
(C) 5528
(D) 256
(E) 191
answer: Stream of consciousness: 12 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 12 * 18/5 * 15/4 km = 162 km. The answer is (B).

q: What should come in place of the question mark (?) in the following equation?
9568 6548 1024 = ?
Options:
(A) 2086
(B) 1996
(C) 2293
(D) 1896
(E) None of these
a: Stream of consciousness: ? = 9568 6548 1024 = 1996. The answer is (B).

q: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 3 order of $150 ?
Options:
(A) $1
(B) $2
(C) $3
(D) $4
(E) $8
a:
Stream of consciousness: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 18$
The difference = 8$. The answer is (E).