Problem of the Day 12 Sept 2011

'We__Aaron,Brian and Clyde_each have some children.
1.Aaron has at least 1 girl and twice as many boys as girls.
2.Brian has at least 1 girl and three times as many boys as girls.
3.Clyde has at least 1 girl and three more boys than girls.
4.When i tell you the number of children wee have altogether,a number less than 25,you will now how many children i have,but not how many children the others has.Altogether we have..."

Who is the speaker?

A) Aaron b) Brian C) Clyde D) Cannot be determined

My house has a number

1.If my house number is a multiple of 3,then its a number through 50-59.
2.If my house number is not a multiple of 4,then it's number through 60-69.
3.If my house number is not a multiple of 6,then it is a number from 70 through 79.

What is my house number?

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Problem Set 9 Sept 2011

Q1 The integers from 1 to n are written in increasing order from left to right on a blackboard. David and Goliath play the following game: starting with David, the two players alternate erasing any two consecutive numbers and replacing them with their sum or product. Play continues until only one number on the board remains. If it is odd, David wins, but if it is even, Goliath wins. Find the probability that Goliath wins if n=2011?

a) 0 b) 1 c) 1/2 d) None of these


Q2 A classroom has 30 students and 30 desks arranged in 5 rows of 6.The class has 15 boys and 15 girls.If the students be placed in the chairs such that no boy is sitting in front of, behind, or next to another boy, and no girl is sitting in front of, behind, or next to another girl in x(y!)(z!), where x, y and z are positive integers. Find x+y+z?

a) 32 b) 30 c) 27 d) 29


Q3. Find the sum of all integers x such that 2x^2 + x- 6 is a positive integral power of a prime positive integer?

a) 7 b) 5 c) 4 d) 12

We are BACK!

Well, for starters Quantologic has moved from Wordpress and will now solely be on Blogger and hosted on www.quantologic.in. This marks the beginning of a new era as the site was dormant for a long while. Hope to keep the fire burning!

Admin!

Problem of the day 26.08.09

Five students Implex, Slam, Sanyo, dewan and nbangalorekar are wearing caps of Blue or Green color without knowing the color of his own cap. It is known that the students wearing the Blue cap always speaks the truth while the ones wearing Green always tell lies. If the students make the following statements

Implex: I see 3 blue caps and one Green
Slam: I see 4 Green caps
Sanyo: I see 1 Blue cap and 3 Green
dewan: I see 4 Blue caps

Then, which among the following (Student, Cap Color) combination is correct?

(1) (Implex, Blue) (2) (Slam, Green) (3) (dewan, Blue) (4) at least two of the foregoing (5) none of these

Problem of The day 06.08.09

1. Four digits of the number 29138576 are omitted so that the result is as large as possible. The largest omitted digit is (A) 9 (B) 8 (C) 7 (D) 6 (E) 5