q: A and B can together complete a piece of work in 4 days. If A can alone can complete the same work in 12 days, in how many days can B alone complete that work?
Options:
(A) 6
(B) 5
(C) 4
(D) 3
(E) 2
a: Stream of consciousness: (A+B)'s 1 day work = 1/4
A's 1 day work = 1/12
B's 1 day work = 1/6 The answer is (A).

question: In a certain parking lot, 3% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What % of cars in the parking lot are parked illegally.'
Options:
(A) 11
(B) 13
(C) 15
(D) 60
(E) 75
answer: Stream of consciousness: So Total no. of cars parked illegally: 300
Total no. of cars: 2000
300/2000*100, So 15% The answer is (C).

q: The number N is 5,2H1, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9
a: Stream of consciousness: Integer is divisible by 3 - Sum of digits is divisible by 3 The answer is (A).

question: Express 50 mps in kmph?
Options:
(A) 172
(B) 160
(C) 150
(D) 180
(E) 120
answer: Stream of consciousness: 25 * 18/5 = 180 kmph The answer is (D).

q: If the given two numbers are respectively 5% and 25% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these
a: Stream of consciousness: Here, l = 5 and m = 25
Therefore, first number = l/m x 100% of second number = 5/25 x 100% of second number = 20% of second number The answer is (A).

q: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Options:
(A) 2397
(B) 2401
(C) 2411
(D) 2423
(E) None of the above
a:
Stream of consciousness: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60. The answer is (B).