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(#M40158042) MBA QUESTION Number System Keep an EYE

if x^a=y^b=z^c and ab+bc+ca=0, then find xyz

Asked In MBA Sanjana Patnaik (8 years ago)

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(#M40158041) MBA QUESTION Number System Keep an EYE

a^x=p, a^y=q and a^z=(p^yq^x)^z
Find xyz

Asked In MBA Sanjana Patnaik (8 years ago)

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(#M40005676) MATHS OLYMPIAD QUESTION Polygon Keep an EYE

Consider a 20 sided convex polygon K, with vertices A1, A2.....A20 in that order.Find the No. of ways in which three sides of K can be chosen so that every pair among them has at least two sides of K between them.(For example(A1A2,A4A5,
A11A12) is an admissible triplet while A!A@,A4A5,A19A20)is not)

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

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(#M40005675) NTSE QUESTION No. System Keep an EYE

A natural No n is chosen strictly between two consecutive perfect squares.The smaller of these two squares is obtained by subtracting k from n and the larger one is obtained by adding L to n.Prove that n-kL is a perfect square.

Asked In NTSE Sanjana Patnaik (13 years ago)

Solved Pargat Pal Singh Read Solution (1)

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(#M40033473) SELF QUESTION Keep an EYE

What is the area of the largest triangle that can be inscribed in a semi circle of radius 'r'?

Sanjana Patnaik (11 years ago)

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(#M40005182) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

For how many integers n is n/(20-n) the square of an integer?

Solution

We could assign k to be an integer such that n/(20-n) = k^2,
Solve for n and you will get n = 20-[20/(1+k^2)].
now possible values of k = 0,1,2,3, after that second part will become a fraction, This implies that k = {0,1,2,3} and n = 0, 10, 16, or 18.

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Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

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(#M40005180) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

Q. For which positive integral values of m, 1/2m^2+15 will be closest to 0.01

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

Solved Dr.Dipin Singh Read Solution (2)

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(#M40003749) NTSE QUESTION Keep an EYE

For how many Prime Num
bers k, k+10 and k+14 will be prime numbers?

Asked In NTSE Sanjana Patnaik (13 years ago)

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