question: An design manager has 10patterns of chairs & 7patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 70
(B) 40
(C) 80
(D) 90
(E) 100
answer: Stream of consciousness: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 7 ways
Hence one chair and one table can be arranged in 10 x 7 ways = 70 ways The answer is (A).

q: In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?
Options:
(A) 9/10
(B) 16/20
(C) 2/5
(D) 3/5
(E)
a: Stream of consciousness: P(at least one blue) = 1 - P(no blue, so 2 red) = 1- 2/5*1/4 = 9/10. The answer is (A).

question: There are 23 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} = 23 + 28 - 12 = 39. The answer is (A).

q: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these
a: Stream of consciousness: Here, l = 8 and m = 16
Therefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number The answer is (D).

question: Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Options:
(A) 20 hrs
(B) 22 hrs
(C) 23 hrs
(D) 24 hrs
(E) 21 hrs
answer: Stream of consciousness: 1/( 1/36 +1/45) = 180/9 = 20 hrs The answer is (A).

question: How much 50% of 56 is greater than 30% of 50?
Options:
(A) 18
(B) 99
(C) 13
(D) 55
(E) 71
answer:
Stream of consciousness: (50/100) * 56 (30/100) * 50
28 - 15 = 13 The answer is (C).