International Maths Olympiad Forum By SOF Olympiad Trainer - Page 63

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Subject :IMO    Class : Class 5

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 10

Given below are the steps of construction of a pair of tangents to a circle of radius 6 cm from a point on the concentric circle of radius 8 cm. Find which of the following steps is INCORRECT?
Steps of Construction
Step I : Take a point O on the plane paper and draw a circle of radius OA = 6 cm. Also, draw a concentric circle of radius OB = 8 cm.
Step II : Find the mid-point A of OB and draw a circle of radius BA = AO. Suppose this circle intersects the circle of radius 6 cm at P and Q.
Step III : Join BP and BQ to get the desired tangents.

A Step I
B Step II
C Step I and Step II
D Step II and Step III


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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 8

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Class : Class 8

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 7

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Subject :IMO    Class : Class 8

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Class : Class 9
Its 301875

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Subject :IMO    Class : Class 9

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Subject :IMO    Class : Class 4

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Class : Class 5
see as we know 7th muliple is 301 so in option a 4 is an even number so it would be incorrect in option b the last digit is not 5 or 0 so option b will be incorrect in option c 6 is an even number so it would be incorrectin option d 301 ÷ 7 has the remainder 0 so answer is D option

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