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Frequently Asked maths olympiad Latest Exam Pattern - maths olympiad Sample Question with Solutions Page 21

(#M40017841) MATHS OLYMPIAD QUESTION Keep an EYE

which one of the following are correct?
1) 1/3 in the base 3 is 0.1

2)1/3 in base 10 is 0.333333..

3) 1 equals 0.999... in base 10

Asked In Maths Olympiad riyaz mohamed rinaz (12 years ago)

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(#M40013553) MATHS OLYMPIAD QUESTION Keep an EYE

Q. THE NUMBER OF VALUES OF k FOR WHICH THE SYSTEM OF EQUATIONS
x + y = 2
kx + y = 4
x + ky = 5
HAS ATLEAST ONE SOLUTION IS

Asked In Maths Olympiad NAVEEN GUPTA (12 years ago)

Solved FAISAL RIZWAN Read Solution (7)

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(#M40010762) MATHS OLYMPIAD QUESTION Number Theory Keep an EYE

Q. Let x,y be two integers with x,y lying in closed interval [2,100].
Now prove that :
[x^{2^{n}} + y^{2^{n}}] is not a prime for some positive integer n.

Asked In Maths Olympiad SDeep Bhattacharya (13 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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