International Maths Olympiad Forum By SOF Olympiad Trainer - Page 305

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Subject :IMO    Class : Class 3

Ans 1: (Master Answer)

Class : Class 1

(B): Cost of necklace = ₹ 120
Cost of purse = ₹ 80
Total cost = ₹ 120 +  ₹ 80 = ₹ 200
Thus with ₹ 200, she can buy a necklace and purse so that no money will be left with her.


Ans 2:

Class : Class 5
Right ans is B

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Subject :IMO    Class : Class 8

Ans 1:

Class : Class 9
x+1/x=4 So,(x+1/x)^2=4^2=16 x^2+2+1/x^2=16 Since (x-1/x)^2=x^2-2+1/x^2, It will be=(x+1/x)^2-4=16-4=12 So, (x-1/x)=√12 Which is equal to √2×2×3 =2√3

Ans 2:

Class : Class 9
x+1/x=4 So,(x+1/x)^2=4^2=16 x^2+2+1/x^2=16 Since (x-1/x)^2=x^2-2+1/x^2, It will be=(x+1/x)^2-4=16-4=12 So, (x-1/x)=√12 Which is equal to √2×2×3 =2√3

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 4

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Subject :IMO    Class : Class 4

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Subject :IMO    Class : Class 4

Ans 1:

Class : Class 4
Answer is c

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 6

Ans 1:

Class : Class 6

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