Latest Maths Olympiad Aptitude Question SOLUTION: Find all natural numbers n > 1 such that n2 does not divide (n - 2)!.

Follow Quotesrain

Maths Olympiad Question Papers:

Maths Olympiad Select Another Category Select Another Topic

Exam

Maths Olympiad Question Topics

Category (16)

General Ability (3)

HR Interview (1)

Logical Reasoning (14)

Numerical Ability (66)

Verbal Ability (2)

Advertisements

Previous Question: Let ABC be a triangle with circum circle. Let M be a point in the interior of triangle ABC which is also on the bisector of \A. Let AM, BM, CM meet in A1, B1, C1 respectively. Suppose P is the point of intersection of A1C1 with AB; and Q is the point of intersection of A1B1 with AC. Prove that PQ is parallel to BC. Next Question: Find all non-zero real numbers x, y, z which satisfy the system of equations: (x^2 + xy + y^2)(y^2 + yz + z^2)(z^2 + zx + x^2) = xyz, (x^4 + x^2y^2 + y^4)(y^4 + y^2z^2 + z^4)(z^4 + z^2x^2 + x^4) = x^3y^3z^3.

(#M40021998) MATHS OLYMPIAD question GEOMETRY Keep an EYE

Find all natural numbers n > 1 such that n2 does not divide (n - 2)!.: Asked In Maths Olympiad MAN (10 years ago); Unsolved; Is this Puzzle helpful? (0) (0) Submit Your Solution

Advertisements

Read Solution (0) :

Please Login to Read Solution.

Previous Question: Let ABC be a triangle with circum circle. Let M be a point in the interior of triangle ABC which is also on the bisector of \A. Let AM, BM, CM meet in A1, B1, C1 respectively. Suppose P is the point of intersection of A1C1 with AB; and Q is the point of intersection of A1B1 with AC. Prove that PQ is parallel to BC. Next Question: Find all non-zero real numbers x, y, z which satisfy the system of equations: (x^2 + xy + y^2)(y^2 + yz + z^2)(z^2 + zx + x^2) = xyz, (x^4 + x^2y^2 + y^4)(y^4 + y^2z^2 + z^4)(z^4 + z^2x^2 + x^4) = x^3y^3z^3.

Login
Register

Sponsored Links

Advertisements

Challenger of the Day

no image

Dimple

India

Punjab

Time: 00:01:33

Points

19

Maths Quotes

Go down deep enough into anything and you will find mathematics.

Dean Schlicter

Mathematics is one word which is useful in every bits of our life,whether we have to put one step or to think anything.

Md.Intshamuddin

Placed User Comments

M4Math helped me a lot.

Vipul Chavan 3 years ago

Thanks m4 maths for helping to get placed in several companies.
I must recommend this website for placement preparations.

yash mittal 4 years ago

2515K+Registerd user
1761K+Engineers
754K+MBA Asprirant
3K+Enginnering College
250+Company Exam
150K+Interview Questions

All rights are reserved to @m4maths.com