q: How many positive integers less than 50 have a reminder 01 when divided by 5?
Options:
(A) 10
(B) 14
(C) 15
(D) 16
(E) 17
a: Stream of consciousness: 1 also gives the remainder of 1 when divided by 5. So, there are total of 10 numbers. The answer is (A).

question: What is the greatest positive integer x such that 7^x is a factor of 343^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
answer: Stream of consciousness: 343^10 = (7^3)^10 = 7^30 The answer is (E).

q: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 657.48 = 743.095 + ?
Options:
(A) 870
(B) 790
(C) 780
(D) 770
(E) 890
a: Stream of consciousness: ? = 285 + 1895 655 745 or, ? = 780 The answer is (C).

question: A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car's gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 6
(D) 7
(E) 10
answer: Stream of consciousness: 420/10 = 42 The difference is 42 - 35 = 7. The answer is (D).

q: There are 47 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
a: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 47 + 28 - 12 = 63. The answer is (E).

q: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.154. Find the unknown rate of two blankets?
Options:
(A) 420
(B) 550
(C) 490
(D) 450
(E) 457
a:
Stream of consciousness: 10 * 154 = 1540
3 * 100 + 5 * 150 = 1050
1540 1050 = 490 The answer is (C).