q: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Options:
(A) 6 2/3%
(B) 6 2/8%
(C) 6 9/3%
(D) 6 2/3%
(E) 6 2/1%
a: Stream of consciousness: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3% The answer is (A).

question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 5 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 8 days
(D) 4 days
(E) 3 days
answer: Stream of consciousness: Work done by A in 5 days = 5/10 = 1/2
Remaining work = 1/2
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 1/2 * 6/1 = 3 days. The answer is (E).

q: If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?
Options:
(A) Sunday
(B) Wednesday
(C) Friday
(D) Monday
(E) Tuesday
a: Stream of consciousness: There are 2 odd days in the year 2004
So, the day on 21th January 2005 will be two days beyond the day on 21th January 2004
On 21th January 2004, it was Wednesday The answer is (B).

question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 33 1/7%
(B) 33 1/3%
(C) 33 1/2%
(D) 33 7/3%
(E) 33 5/3%
answer: Stream of consciousness: P = (P*3*R)/100
R = 33 1/3% The answer is (B).

q: The average of first 10 even numbers is?
Options:
(A) 226
(B) 27
(C) 27
(D) 11
(E) 99
a: Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11 The answer is (D).

q: Solve below question 2x - 1 = 17
Options:
(A) -8
(B) -9
(C) -5
(D) -4
(E) 9
a:
Stream of consciousness: 1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9 The answer is (E).