q: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder K when N is divided by 30?
Options:
(A) (a) 4
(B) (b) 7
(C) (c) 11
(D) (d) 13
(E) (e) 17
a: Stream of consciousness: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder K when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. The answer is (C).

question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Options:
(A) 8 hrs 85 min
(B) 8 hrs 18 min
(C) 8 hrs 15 min
(D) 6 hrs 15 min
(E) 3 hrs 15 min
answer: Stream of consciousness: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3
Number of pages typed by Elan in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3
Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min The answer is (C).

q: The average age of 11 boys is 50, if the average age of first six boys is 49 and that of the last six is 52. Find the boy age?
Options:
(A) 48
(B) 50
(C) 56
(D) 62
(E) 64
a: Stream of consciousness: 1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 550 = 56 The answer is (C).

question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 350 m
(B) 250 m
(C) 300 m
(D) 148 m
(E) 150 m
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m The answer is (E).

q: How many distinct prime numbers are factors of 33150?
Options:
(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eight
a: Stream of consciousness: Start with the prime factorization:
33150 = 50*663 = (2*5*5)*3*221 = (2)*(3)*(5^2)*(13)*(17)
There are five distinct prime factors, {2, 3, 5, 13, and 17} The answer is (B).

q: Rs. 5600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/7:1/7:1/14?
Options:
(A) 300
(B) 992
(C) 1120
(D) 552
(E) 312
a:
Stream of consciousness: 1/7:1/7:1/14 = 2:2:1
1/5*5600 = 1120
2240-1120 = 1120 The answer is (C).