q: The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?
Options:
(A) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph
a: Stream of consciousness: Speed downstream = 60 +40 = 100 kmph
Speed upstream = 60 - 40 = 20 kmph The answer is (D).

question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
(A) 2178
(B) 1087
(C) 2800
(D) 2689
(E) 2081
answer: Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 5x/100 = 144
2x/100 = 56 e x = 2800 The answer is (C).

q: What least number must be added to the least number of six digits so that the resulting number may be a perfect square.
Options:
(A) 489
(B) 267
(C) 278
(D) 199
(E) 111
a: Stream of consciousness: The least number of six digits = 100000 3 10 00 00 317 9 61 100 61 627 3900 4389 489 Least number to be added = 489. The answer is (A).

question: A car finishes a journey in ten hours at the speed of 50 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 12 km/hr
(D) 16 km/hr
(E) 50 km/hr
answer: Stream of consciousness: Distance covered by the car = 50 10 = 500 km
\ Speed = 5005 = 100 km/hr
\ Speed gain = 100 50 = 50 km/hr The answer is (E).

q: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Options:
(A) 1/8
(B) 1/4
(C) 1/5
(D) 1/9
(E) 1/1
a: Stream of consciousness: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5 The answer is (C).

q: Grace has 18 jellybeans in her pocket. She has 10 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 15
a:
Stream of consciousness: The worst scenario is when she takes 10 red and 4 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The answer is (E).