q: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 1/4
(C) 3/10
(D) 1/5
(E) 1/10
a: Stream of consciousness: 10 + 10 + 55 = 75% 100 - 75 = 25% to all others The answer is (B).

question: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
Options:
(A) 35000
(B) 40000
(C) 50000
(D) 60000
(E) None
answer: Stream of consciousness: Suppose N invested Rs. x. Then, 40000/x = 4/5 or y = [40000 x 5/ 4] = 50000. The answer is (C).

q: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 65 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 145/6
(C) s. 16.6
(D) s. 26
(E) s. 25
a: Stream of consciousness: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 50. So, the amount with remaining 6 people = 210 - 65 = Rs. 145
The average amount with them = 145/6 The answer is (B).

question: 10 men and 15 women together can complete a work in 8 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 127 days
(B) 667 days
(C) 177 days
(D) 187 days
(E) 600 days
answer: Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/8
15 women's 1 day work = (1/8 - 10/100) = 1/40
1 woman's 1 day work = 1/600
1 woman alone can complete the work in 600 days. The answer is (E).

q: The average age of applicants for a new job is 32, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Options:
(A) 8
(B) 77
(C) 7
(D) 18
(E) 34
a: Stream of consciousness: Minimum age = Average - 1 Standard deviation = 32 - 8 = 24
Maximum age = average + 1 Standard deviation = 32+ 8 = 40
Maximum number of different ages of the applicants = 30 - 24 + 1 = 7 The answer is (C).

q: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 7
(C) 9
(D) 11
(E) 15
a:
Stream of consciousness: 221 + 43 = 264/17 = 9 (Remainder) The answer is (C).