International Maths Olympiad Forum By SOF Olympiad Trainer - Page 35

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Subject :IMO    Class : Class 8

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Class : Class 8

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 5

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Subject :IMO    Class : Class 8

Read the given statements carefully and select the correct option.
Statement-I : The profit earned by selling an article for ₹ 900 is double the loss incurred when the same article is sold for ₹ 450. Then the article should be sold at ₹ 750 to make 25% profit.
Statement-II : A sum of money is lent out at compound interest compounded annually at the rate of 20% per annum for 2 years. It would give ₹ 2410 more, if the interest is compounded half yearly. Then the principal sum is ₹ 120000.

ABoth Statement-I and Statement-II are true.
BStatement-I is true but Statement-II is false.
CStatement-I is false but Statement-II is true.
DBoth Statement-I and Statement-II are false.


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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 7

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Subject :IMO    Class : Class 7

Which of the following options is true?
P. Two triangles are congruent to each other if their corresponding two sides and included angle are equal.
Q. If two angles and the included side of one triangle are equal to two corresponding angles and the included side of another triangle, then the two triangles are congruent to each other.
R. If three angles of a triangle are equal to three corresponding angles of another triangle, then the triangles are called congruent.

AOnly P and Q are true.
BOnly P and R are true.
COnly P is true.
DP, Q and R are true.


Ans 1:

Class : Class 7
I think that something is wrong there. Because according to my knowledge, if three angles of a triangle are equal to 3 corresponding angles of another triangle, then the triangles are called congruent And here it is written that this statement is false, but actually it is true

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