q: In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males?
Options:
(A) 75
(B) 40
(C) 15
(D) Cannot be determined
(E) None of these
a: Stream of consciousness: Houses containing only one person = 100 40 = 60%
Houses containing only a male = 60 25100 = 15%
Houses containing only one female = 60 15 = 45% The answer is (E).

question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 277
(D) 250
(E) 191
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 15 = 250 m The answer is (D).

q: The total number of students in Grades 1 and 2 is 30 more than the total number of students in grades 2 and 5. How much lesser is the number of students in Grade 5 as compared to Grade 1?
Options:
(A) 20
(B) 30
(C) 10
(D) 40
(E) 15
a: Stream of consciousness: (Grade 1 + Grade 2) - (Grade 2 + Grade 5) = 30
Grade 1 - Grade 5 = 30 The answer is (B).

question: The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 1/98
(D) 3/350
(E) 1/68
answer: Stream of consciousness: 2/3 * 6/7 * 1/5 * 1/8 = 12/1400 = 3/350 The answer is (D).

q: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Options:
(A) 22
(B) 27
(C) 15
(D) 77
(E) 16
a: Stream of consciousness: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15. The answer is (C).

q: If x is a positive integer, which of the following could NOT be the square of x?
Options:
(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752
a:
Stream of consciousness: A perfect square will never end in 2, 3, 7 or 8. (last digit cannot be 2, 3, 7 or 8)
Here E is the odd one out. The answer is (E).