q: Find a a prime number from the options below.
Options:
(A) 37
(B) 38
(C) 39
(D) 40
(E) 42
a: Stream of consciousness: Clearly, 37 is a prime number. The answer is (A).


question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 6 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 60 gallons
(B) 100 gallons
(C) 240 gallons
(D) 180 gallons
(E) 130 gallons
answer: Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 6 gallons\
Volume of whole = 6 * 40 = 240 gallons. The answer is (C).


q: In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?
Options:
(A) 2/5
(B) 16/20
(C) 9/10
(D) 3/5
(E) 1/3
a: Stream of consciousness: P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10. The answer is (C).


question: What percent is 36 paisa's of 12 rupees?
Options:
(A) 3 %
(B) 4 %
(C) 5 %
(D) 6 %
(E) 7 %
answer: Stream of consciousness: 12 Rupees = 1200paisa's
36/1200 × 100 = 3/12
12/3 = 3 % The answer is (A).


q: How many positive integers less than 50 have a reminder 01 when divided by 4?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
a: Stream of consciousness: 1 also gives the remainder of 1 when divided by 4. So, there are total of 13 numbers. The answer is (A).


q: How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?
Options:
(A) 54 sec
(B) 65 sec
(C) 25 sec
(D) 22 sec
(E) 24 sec
a:

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: D = 100 + 120 = 220
S = 36 * 5/18 = 10 mps
T = 220/10 = 22 sec The answer is (D).