question: In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
Options:
(A) 1.
(B) 15
(C) 17
(D) 20
(E) 23
answer: Stream of consciousness: Total Vehicles = 56
Buses = 18
Private Cars = 38
Total red vehicles = 32
Total red buses = 17
Total Red cars = 15
Total cars that are not red = 38 - 15 = 23 The answer is (E).

q: If P(A) = 2/15, P(B) = 4/15, and P(A B) = 6/15 Find P(B|A)
Options:
(A) 1/2
(B) 2/3
(C) 3
(D) 4/5
(E) 4/7
a: Stream of consciousness: P(B|A) = P(A B)/P(A)
P(B|A) = (6/15)/(2/15) = 3. The answer is (C).

question: There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?
Options:
(A) 7
(B) 5
(C) 13
(D) 20
(E) 4
answer: Stream of consciousness: If you split 20 pieces of candy between 4 kids each kid will get 5 pieces of candy The answer is (B).

q: What is the sum of all the prime numbers greater than 10 but less than 40?
Options:
(A) 190
(B) 189
(C) 180
(D) 199
(E) 1981
a: Stream of consciousness: Required sum = (11 +13 + 17 + 19 + 23+ 29 + 31 + 37) = 180
Note: 1 is not a prime number The answer is (C).

question: If X is the sum of first 10 positive even integers and Y is the sum of first 10 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 10
(B) 25
(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 10 positive even integers minus the sum of first 10 positive odd integers will be 10. The answer is (A).

question: A light has a rating of 80 watts, it is replaced with a new light that has 25% higher wattage. How many watts does the new light have?
Options:
(A) 105
(B) 95
(C) 80
(D) 60
(E) 100
answer:
Stream of consciousness: Final number = Initial number + 25%(original number) = 80 + 25%(80) = 80 + 20 = 100. The answer is (E).