q: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?
Options:
(A) 16.5
(B) 16.0
(C) 15
(D) 16.8
(E) 16.1
a: Stream of consciousness: D = 110 + 140 = 250 m
S = 60 * 5/18 = 50/3
T = 250 * 3/50 = 15 se The answer is (C).


question: The average of seven numbers is 15. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 6
(B) 29
(C) 31
(D) 34
(E) 35
answer: Stream of consciousness: The total of seven numbers = 7X15 = 105
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (105 - 99 ) = 6 The answer is (A).


q: In an office, 30 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A)  480
(B)  48
(C)  50
(D)  144
(E)  160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(30/100)*Workers = x+16 = > x = 48 The answer is (B).


question: Find the least number must be added to 228712 so that remaining no.is divisible by 9?
Options:
(A) 5
(B) 3
(C) 1
(D) 6
(E) 2
answer: Stream of consciousness: On dividing 228712 by 9 we get the remainder 4, so 5 should be subtracted The answer is (A).


q: 80 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Options:
(A) 75
(B) 80
(C) 85
(D) 90
(E) 60
a: Stream of consciousness: Answer = E
Please refer diagram below
70 - 10 = 60 The answer is (E).


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