q: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.
a: Stream of consciousness: Total boxes = 23
Filled with toys = 18
Filled with appliance = 5
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 5 - 3 = 2 The answer is (B).


question: Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?
Options:
(A) 8
(B) 13
(C) 16
(D) 24
(E) 27
answer: Stream of consciousness: A intersect B intersect C = 4
A intersect B but not C = 1
B intersect C but not A = 1
C intersec A but not B = 1
A only is 2; B only is 2; C only is 2
Therefore, total 13 members serve on one or more boards of directors. The answer is (B).


q: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Options:
(A) 3377
(B) 2889
(C) 2522
(D) 2678
(E) 7111
a: Stream of consciousness: A = 1600(21/20)3 = 2522 The answer is (C).


question: A class consists of 100 students, 20 of them are girls and 80 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 2/125
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
answer: Stream of consciousness: The probability of selecting girl is: 20/100 = 1/5
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 40/100 = 2/5
Three are independent;probability of rich and fair complexioned girl is:
(1/5) Ã—(1/5) Ã— (2/5) = 2/125 The answer is (A).


q: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
(A) 22
(B) 75
(C) 44
(D) 28
(E) 12
a: Stream of consciousness: S = (90 + 60)/2 = 75 kmph The answer is (B).


q: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. What is the length of the platform in meters?
Options:
(A) 240 meters
(B) 360 meters
(C) 300 meters
(D) 600 meters
(E) Cannot be determined
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: Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 15 * 20 = 300 = Length of train
Length of platform = 600 - 300 = 300 The answer is (C).