question: 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
answer: 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).

q: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters?
Options:
(A) 240 meters
(B) 260 meters
(C) 420 meters
(D) 600 meters
(E) Cannot be determined
a: Stream of consciousness: Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 17 * 20 = 340 = Length of train
Length of platform = 600 - 340 = 260 The answer is (B).

question: How many factors does 25^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 26
answer: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 4*2 = 8 The answer is (B).

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).

question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Options:
(A) 22
(B) 88
(C) 16
(D) 83
(E) 82
answer: Stream of consciousness: 10 * 15 + 36 26 = 160/10 = 16 The answer is (C).

question: There are 13person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 4!*2!
(B) 7!*2!
(C) 6!*1!
(D) 10!*2!
(E) 5!*1!
answer:
Stream of consciousness: Total number of ways = 10!*2!. The answer is (D).