question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
Options:
(A) 820 acres
(B) 660 acres
(C) 620 acres
(D) 720 acres
(E) 920 acres
answer: Stream of consciousness: 12 men 120 acres 36 days
44 men ? 54 days
120 * 44/12 * 54/36
10 * 44 * 3/2
44 * 15 = 660 The answer is (B).


q: Solve below question 4x + 1 = 37
Options:
(A) -8
(B) -9
(C) -5
(D) 9
(E) 1
a: Stream of consciousness: 1. Subtract 1 from both sides: 4x + 1 - 1 = 37 - 1 2. Simplify both sides: 4x = 36 3. Divide both sides by 4: 4. Simplify both sides: x = 9 The answer is (D).


question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Options:
(A)  4
(B)  9
(C) 6
(D)  10
(E)  12
answer: Stream of consciousness: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and added top and bottom, hence 4+2 = 6. The answer is (C).


q: A train 175 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 sec
(C) 17 sec
(D) 88 sec
(E) 10 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 175 * 2/35 = 10 sec The answer is (E).


question: There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 respectively. Similarly when the third one goes he does this for 3 6 9 12 15th doors respectively. Find number of doors that are open at last.
Options:
(A) 29
(B) 31
(C) 32
(D) 24
(E) 21
answer: Stream of consciousness: 31. only the perfect squares between 1 to 1k The answer is (B).


question: The average age of a class of 42 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 59 Years
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: Total age of students is 42X16 = 672 Years
Total age inclusive of teacher = 43X (16+1) = 731
So, Teacher's age is 731-672 = 59 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(43X1) = 59 Years The answer is (E).