q: Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie?
Options:
(A) 8C5
(B) 8*7*6*5*4
(C) 5!
(D) 8!/5!
(E) 8*5
a: Stream of consciousness: Choosing 5 out of 8, when order matters P58, or choosing 5 out of 8, without order and then arranging: C585! The answer is (B).

question: Rose's grade was 70th percentile of the 60 grades for her class. Of the 40 grades from another class, 16 were higher than Rose's, and the rest were lower. If no other grade was the same as Rose's grade, then Rose's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 66th
(B) 70th
(C) 74th
(D) 82nd
(E) 85th
answer: Stream of consciousness: 66th/70th/74th/82nd/85th The answer is (A).

q: If x<0, y<0, and |x| > |y|, which of the following must be true?
Options:
(A) x > y
(B) y^2 > x^2
(C) x^3 > y^2
(D) x < y
(E) x < y
a: Stream of consciousness: Correct Answer: (E)
Let's go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn't have to be true consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us x > y. Remember that x < 0, so x = |x|, and y is positive, so |y| = y. Thus x < y is the same statement as |x| > |y|, and (D) must be true. The answer is (D).

question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220025
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 25 = 220000 + 25 = 220025 The answer is (E).

q: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 65 sec
(B) 88 sec
(C) 25 sec
(D) 88 sec
(E) 55 sec
a: Stream of consciousness: D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 se The answer is (C).

q: Which of the following numbers is divisible by 4?
Options:
(A) 27767
(B) 10224
(C) 26778
(D) 26679
(E) 26711
a:
Stream of consciousness: 10224. This is the only option with last two digits divisible by 4 The answer is (B).