International Maths Olympiad Forum By SOF Olympiad Trainer - Page 64
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Aryan Dubey from Tree House High School, Pune
Subject :IMO    Class : Class 8

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Daksh Chanani from Sri Sri academy, Kolkata
Subject :IMO    Class : Class 5

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Swara Kulthe from Elpro International , Pune
Subject :IMO    Class : Class 3

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Swara Kulthe from Elpro International , Pune
Class : Class 4
45

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Swara Kulthe from Elpro International , Pune
Subject :IMO    Class : Class 3

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Swara Kulthe from Elpro International , Pune
Class : Class 4
11

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Het Aryan from Podar International School , Pune
Subject :IMO    Class : Class 8

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Het Aryan from Podar International School , Pune
Class : Class 9

Ans 2:

Het Aryan from Podar International School , Pune
Class : Class 9

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Arkajyoti Das from techno, Cooch Behar
Subject :IMO    Class : Class 7

Which of the following options hold?
(1) Every integer is a rational number and every fraction is a rational number.
(2) A rational number is positive if p and q are either both positive or both negative.
(3) A rational number is negative if one of p and q is positive and other is negative.
(4) If there are two rational numbers with common denominator then the one with the larger numerator is larger than the other.

A Both 1 and 4 are correct
B Both 2 and 3 are incorrect
C Only 1 is correct
D All are correct


Answer is wrong because every integar is not rational number as a/0 is undefined

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Parv sharma from Presidium, Gurugram
Subject :IMO    Class : Class 8

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Bharat Aggarwal from Kalyani school, Pune1
Subject :IMO    Class : Class 3

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Bhavika from dwips school, Sikar
Subject :IMO    Class : Class 3

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ANAY SHYAMSUNDER YADAV from SVIS Gorai, Mumbai
Class : Class 3
silly mistake by Anay

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Ayush Gorain from Sarala Birla Public School, Ranchi
Subject :IMO    Class : Class 8

Arrange the given steps while constructing a quadrilateral PQRS, in which PQ = 3.5 cm, QR = 4.2 cm, RS = 5.5 cm, ∠Q = 60° and ∠R = 105°.
Steps of constructions :
Step I : Draw a line segment QR = 4.2 cm.
Step II : With Q as centre, draw ∠RQX = 60°.
Step III : From the ray RY, cut off RS = 5.5 cm.
Step IV : With R as centre, draw ∠QRY = 105°.
Step V : From the ray QX, cut off QP = 3.5 cm
Step VI : Join PS
Thus, PQRS is the required quadrilateral.

AI, V, II, IV, III, VI
BII, I, V, IV, III, VI
CI, II, V, III, IV, VI
DI, II, IV, V, III, VI


Both option option (C) and option (D) are correct, as only the order of drawing the arcs and cutting of points P and S are interchanged. Either step can be carried out in any order.

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