question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of B?
Options:
(A) 2160
(B) 3000
(C) 3018
(D) 3019
(E) 3012
answer: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
72/247 * 7410 = 2160 The answer is (A).

q: Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^19
(B) 2^10
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10
a: Stream of consciousness: Fix the third coin as H. The remaining 19 coins have 2^19 outcomes. The answer is (A).

question: In Sam's hanger there are 23 boxes, 16 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
answer: Stream of consciousness: Total boxes = 23
Filled with toys = 16
Filled with appliance = 7
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 7 - 3 = 4 The answer is (D).

q: In a bag there are 3 Snicker's bars and 2 Milky Way bars. What is the probability of choosing at least one Snickers when choosing two consecutive candy bars randomly?
Options:
(A) 9/10
(B) 16/20
(C) 2/5
(D) 3/5
(E)
a: Stream of consciousness: P(at least one Snicker's Bar) = 1 - P(no Snicker's Bar, so 2 Milky Way Bars) = 1- 2/5*1/4 = 9/10. The answer is (A).

question: If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 0
(B) 20
(C) 50
(D) 75
(E) 100
answer: Stream of consciousness: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 20 positive even integers minus the sum of first 20 positive odd integers will be 20. The answer is (B).

question: The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 122
(B) 156
(C) 118
(D) 125
(E) 123
answer:
Stream of consciousness: 1 to 11 = 11 * 44 = 484
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 484 = 122 The answer is (A).