q: If the given two numbers are respectively 7% and 14% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these
a: Stream of consciousness: Here, l = 7 and m = 14
Therefore, first number = l/m x 100% of second number = 7/14 x 100% of second number = 50% of second number The answer is (D).

question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.0 km long?
Options:
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 150 sec
(D) 164 sec
(E) 2 mins 44 sec
answer: Stream of consciousness: D = 25 * 60 + 1000 = 2500 m
T = 2500/60 * 18/5 = 150 se The answer is (C).

q: If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 166
(C) 84
(D) 122
(E) 168
a: Stream of consciousness: 10x = 8y = 14z
5x = 4y = 7z
5(4*7) = 4(5*7) = 7(5*4)
Addition = 28+20+35 = 83
Answer would be multiple of 83 which is 166 The answer is (B).

question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 8/2 sec
(D) 7 1/9 sec
(E) 7 2/2 sec
answer: Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec The answer is (D).

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) 1961
(B) 1981
(C) 1991
(D) 1971
(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).

q: A can do a job in 18 days and B can do it in 24 days. A and B working together will finish twice the amount of work in days?
Options:
(A) 22 1/6
(B) 22 1/2
(C) 20 4/7
(D) 22 1/9
(E) 22 1/1
a:
Stream of consciousness: 1/18 + 1/24 = 7/72
72/7 = 72/7 *2 = 20 4/7 days The answer is (C).