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Arnau
Questions (17)
Adam and Bob went apple picking in an orchard. At the end of the day, they counted the number of apples they picked. They
1 answer
665 views
You are trying to distribute 566 ice creams and 183 cookies evenly to all of the students in a class. But you end up having 5
1 answer
423 views
How many distinct rational numbers can be expressed in the form a/b, where a and b are integers such that 1 ≤ a < b ≤10?
0 answers
444 views
Given a positive integer n, let S(n) denote the digit sum of n. Consider the sequence of numbers given by
n₁ = S(n) nk =
1 answer
551 views
You are trying to distribute 566 ice creams and 183 cookies evenly to all of the students in a class. But you end up having 5
0 answers
446 views
You are trying to distribute 566 ice creams and 183 cookies evenly to all of the students in a class. But you end up having 5
0 answers
780 views
How many distinct rational numbers can be expressed in the form a/b, where a and b are integers such that 1 ≤ a < b ≤ 10?
0 answers
491 views
You are planning to lay square tiles on an entire 21125cm by 54925cm rectangular floor without any overlapping. If all the
1 answer
483 views
If x+y+z=16 and xy+yz+zx=85, what is x^2+y^2+z^2?
0 answers
325 views
How many distinct geometric progressions are there, such that the first term is 1, the last term is 1024 and every term is an
1 answer
448 views
As x ranges over all real values, what is the minimum value of the polynomial x4−14x2+303?
1 answer
464 views
The roots of the polynomial f(x)=7x2+31x+c=0 are reciprocals of each other. What is the value of c?
2 answers
486 views
Arnau is running a luggage shop. A brand-new item priced at 30% above the cost price did not sell well. So he took 39 dollars
1 answer
464 views
The ratio of three positive integers is 2:4:5 and their least common multiple is 300. What is the sum of the smallest and the
1 answer
455 views
Two runners have a race. The first runner decides to run with his full speed v₁=9 m/s over the 250 meters of the race and then
3 answers
1,100 views
How many ordered pairs of integers (x,y) are there that satisfy |x|+|y| ≤ 10?
2 answers
1,005 views
ABCD is a rectangle with AC=20 and AB=2BC. What is the area of rectangle ABCD?
1 answer
450 views
Answers (3)
Given a positive integer n, let S(n) denote the digit sum of n. Consider the sequence of numbers given by n₁ = S(n) nk = S(nk−1)k≥2 For how many positive integers n ≤ 2013 does the sequence {nk} contain the number 9?
N + 2N = 4N + 5 if you're looking for N, then N = -5
15 - 2n = 13 if you're looking for n then n = 1.
