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OIan
Questions (19)
Consider a five-pointed star made of resistors as shown below. Each resistor has resistance R=6 Ω. Find the equivalent
3 answers
523 views
If you've ever watched sailing, you will sometimes see a sailor hanging off the side of the boat, for example in this shot from
8 answers
545 views
Ski boots are usually made with releasable bindings. This is done for safety – if you fall and your ski gets caught, the
0 answers
495 views
What is the sum of all numbers that occur an odd number of times in rows 0 through 11 of Pascal's triangle?
Details and
0 answers
565 views
Five red cards numbered 1,2,3,4,5 and two black cards both numbered 5 are randomly ordered face-down into a pile. The cards are
2 answers
553 views
4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of p/q+r/s can be
1 answer
470 views
a and b are consecutive, positive integers such that a^2−b^2>22. What is the minimum possible value of a+b?
1 answer
325 views
4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of (p/q)+(r/s) can be
0 answers
1,132 views
Calvin was making a trip to the University of Chicago. When he drove down, he took Lakeshore Drive, and averaged 35 miles per
1 answer
516 views
Bibi wants to send invitations to some of her friends to come to her birthday party. She has contact information for 37 friends
1 answer
571 views
For how many odd positive integers n<1000 does the number of positive divisors of n divide n?
0 answers
449 views
A source of ions at point O produces a slightly diverging beam with half-angle of divergence α0≪1. In order to collimate
13 answers
1,168 views
A neutral solid conducting cylinder rotates about its axis with angular speed 1600 rad/s. In addition, there is an external
3 answers
538 views
I have a length of string and I want to know the maximum tension the string can support. I tie one end of the string to the
2 answers
580 views
The space shuttle had a top orbital speed of 8000 m/s and orbited in a circular orbit approximately 320 km above the earth's
1 answer
554 views
The function f(x)=x^4−15(x^3)+81(x^2)−201x+182 has four complex roots, one of which is 3−2i. What is the sum of all real
1 answer
971 views
Let A,B and C be matrices such that
A=(1 2 3 1 2 3) , B=(1 2 2 4 2 3) and C=AB. What is the sum of all the elements (entries) of
1 answer
494 views
x,y and z are positive integers such that x<y,x+y=201,z−x=200. What is the maximum value of x+y+z?
1 answer
301 views
Find the number of solutions to the equation
1/a+1/b+1/c+1/d=1 where a, b, c, d are positive integers and a≤b≤c≤d
1 answer
677 views
