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maths olympiad Latest Exam Pattern - maths olympiad Sample Question with Solutions Page 20

(#M40009656) MATHS OLYMPIAD QUESTION LOGICAL REASONING Keep an EYE

IF MATHS IS RELATED WITH NUMBERS, THEN HISTORY IS RELATED WITH WHAT ?

Asked In Maths Olympiad NAVEEN GUPTA (13 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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(#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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(#M40005181) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

Q. There are two containers out of which one contains exactly 16 liters of water and the other contains exactly 9 liters of water. There is no measuring mark on the containers. Using only the two containers determine how to bring 6 liters of water from a pond

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)

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(#M40005179) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

Q. John lists the integers from 1 to 20 in increasing order. He then erases the first half of the integers in the list and rewrites them in order at the end of the second half of the list. Find the integer in the new list which has exactly 12 integers to its left

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

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(#M40005178) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

Q. Begin with any two-digit positive integers and multiply the two digit together. If the result product in a two-digit number, then repeat the process. When this process is repeated, all two digit numbers will eventually become a single digit number. Once a product results in a single digit, the process stops.

a) Beginning with number 68, determine the no. of steps required for the process to stop
b)Determine all two digit numbers for which the process stops at 8 after 2 steps.
c) Determine all two digit no. for which the process stops at 4
d) Determine a two digit number for which the process stops after 4 steps

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

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(#M40005177) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

Q. Determine how many positive integers less than 400 can be created using only the digits 1,2 or 3 with repetition of digits allowed

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

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(#M40005176) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

Q. In a bag there are 13 red, 5 blue, 1 white and 9 green balls. Without looking into the bag determine the least No of balls that can be drawn such that three of them are of same colour

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

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(#M40005175) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE

Q. Find for how many positive integers n with n

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)

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