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maths olympiad Latest Exam Pattern - maths olympiad Sample Question with Solutions Page 19

(#M40021932) MATHS OLYMPIAD QUESTION GEOMETRY Keep an EYE

In a convex quadrilateral PQRS, PQ = RS, (√3+1)QR = SP and RSP−SPQ =
30◦. Prove that
PQR − QRS = 90◦.

Asked In Maths Olympiad MAN (12 years ago)

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(#M40021931) MATHS OLYMPIAD QUESTION ALGEBRA Keep an EYE

If a, b, c, x are real numbers such that abc 6= 0 and
xb + (1 - x)ca=xc + (1 - x)ab=xa + (1 - x)bc
then prove that either a + b + c = 0 or a = b = c.

Asked In Maths Olympiad MAN (12 years ago)

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(#M40021930) MATHS OLYMPIAD QUESTION INTEGER Keep an EYE

Solve for integers x, y, z:
x + y = 1 - z, x^3 + y^3 = 1 - z^2.

Asked In Maths Olympiad MAN (12 years ago)

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(#M40019955) MATHS OLYMPIAD QUESTION PRIME NUMBERS Keep an EYE

find whether the given no. is prime or not

84597857

Asked In Maths Olympiad (12 years ago)

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(#M40019954) MATHS OLYMPIAD QUESTION EQUATION AND INEQUALITIES Keep an EYE

In a certain number system 363 + 1056 = 1452. Find the value of (654 - 456) in the same number system?
(a) 156 (b) 165 (c) 178 (d) 198

Asked In Maths Olympiad vignesh (12 years ago)

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(#M40019250) MATHS OLYMPIAD QUESTION applitude test Keep an EYE

Q. The cost of house is 123000. The tax on it will be increasing 7% percent every year. After 50 months one man buy the house how much he should pay for the house including the repair work for it Rs 12345

Asked In Maths Olympiad Harsh Poddar (12 years ago)

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(#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)

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(#M40010772) MATHS OLYMPIAD QUESTION Combinatorics Keep an EYE

Q. 6 gentlemen visit a club, and leave their hats with the hatrack lady. At the end of the event, the lady forgot who brought which hat, and distribute the hats randomly. How many ways are there for the lady to get at most 1 gentleman's hat correctly?

Asked In Maths Olympiad SDeep Bhattacharya (13 years ago)

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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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