question: There are 24 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
answer: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 24 + 28 - 12 = 40. The answer is (B).

q: The price of a T.V. set worth Rs. 10000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options:
(A) 9000
(B) 26699
(C) 96000
(D) 19000
(E) 26711
a: Stream of consciousness: Money paid in cash = Rs. 1000
Balance payment = (10000 - 1000) = Rs. 9000 The answer is (A).

question: Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 777
answer: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2) The answer is (E).

q: John makes $60 a week from his job. He earns a raise andnow makes $78 a week. What is the % increase?
Options:
(A) 16.12%
(B) 16.66%
(C) 30%
(D) 17.66%
(E) 18.1%
a: Stream of consciousness: Increase = (18/60)*100 = (3/10)*100 = 30%. The answer is (C).

question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 28 sec
(D) 20 sec
(E) 25 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 490 * 2/35 = 28 se The answer is (C).

question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 400 or over 700. If the individual ranges of the three people's scores in those 3 practice tests were 40, 70 and 100, what is the difference between the maximum and minimum possible ranges of all their scores put together.
Options:
(A) 70
(B) 80
(C) 100
(D) 140
(E) 200
answer:
Stream of consciousness: According to the information in the question the maximum range would be between 400 and 700(300). The minimum range would be the greatest range for any one individual, which is listed in the problem as 100. So the difference between these would be 300-100 or 200. The answer is (E).