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Maths Olympiad Daily Problems

Maths Olympiad Daily Problems

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This channel is created for maths lovers and maths Olympiad aspirants who loves to solve daily some good level of thinking problems in maths.also we discuss those problems https://t.me/mathproblemsdiscussiongroup and we can send our doubts in maths.

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Channel Posts
Maths Olympiad Daily Problems
GOOD handout

2
For any positive integer n, let τ (n) denote the number of positive divisors of n. If n is a positive integer such that τ(n^2)/τ(n)= 3, compute τ(n^7)/τ(n).
243
3
87 is a good qn asks your basics pretty well
87 is a good qn asks your basics pretty well
283
4
No text...
282
5
Ari repeatedly rolls a standard, fair, six-sided die. Let R(n) be the n th number rolled, and let Q(n) = R(1)· R(2)· . . . · R(n). Let the probability that there exists an n such that Q(n) = 100 and for all m < n, Q(m) is not a perfect square be p/q where p, q are relatively prime positive integers. Find the largest prime factor of p + q.
278
6
Happy raksha Bandhan to all MODP community ☺️☺️
Happy raksha Bandhan to all MODP community ☺️☺️
263
7
Let D be a point on the side AC of triangle ABC. Let E and F be points on the segments BD and BC respectively, such that <BAE = <CAF. Let P and Q be points on the segments BC and BD respectively, such that EP \\ CD and FQ \\CD. Using an accurate instrument Someone measure <BAE = 30 , <EAP = 15 . What should be the measure of <CAQ
277
8
😋 Finally I did combi
😋 Finally I did combi
386
9
A much interesting configuration 😇
468
10
Is there any one who have allen mock test paper?
514
11
.
541
12
Allen IOQM Mock Tests (Total 12).pdf
540
13
IOQM Mocks - Agamjeet Singh (Total 16).pdf
3
14
Aakash PRMO Mock Tests (Total 5).pdf
2
15
PW IOQM 2024 - 2025 Tests 4 - 14 and 17, 18 (Total 13).pdf
1
16
Can anyone tell me answer of this problem?
Can anyone tell me answer of this problem?
533
17
#beauty 10 marker I guess
#beauty 10 marker I guess
538
18
No text...
517
19
+1
No text...
519
20
A circle having radius r1 centered at point N is tangent to a circle of radius r2 centered at M. Let l and j be the two common external tangent lines to the two circles. A circle centered at P with radius r2 is externally tangent to circle N at the point at which l coincides with circle N, and line k is externally tangent to P and N such that points M, N, and P all lie on the same side of k. For what ratio r1/r2 are j and k parallel?
520
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