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Online Junior Mathematician Search

FOCUS AND ANSWER THE QUESTIONS CAREFULLY AS THE CUT-OFF VARIES. WRITE THE ANSWERS ONLY BELOW THE HEADING "ANSWER FOR QUESTION .. " .

EACH QUESTION IS WORTH 5 POINTS.

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Question 1 : a,b,c denote the lengths of a triangle & A,B,C the angles opposite to the sides.

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Question 2 :

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Question 3 :

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Question 4 :

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Question 5 :

The Given figure is a square ABCD of side length 2(a+b) units. AE = a units, BG = b units. They cut the diagonal AC at 'I' & 'J' respectively. Let the areas of AIFD,EIJG & JHC be X,Y,Z sq. units respectively. If Y = 2016 , Find X+Z ?

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Question 6 : Find a 3-digit number which decreases 25 times when it's first digit is deleted ?

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Question 7 :

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Question 8 :

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Question 9 : (Here a & x are reals)

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Question 10 :

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