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UPSC 2014 CDS II Math Paper

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For the next two (2) items that follow :
ABCD is a trapezium in which AB is parallel to CD. Let M be the midpoint of BC,

[2014 CDS-II]

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Question : 68

Total: 100

Consider the following statements :
1. 'Area of triangle ADM + Area of triangle DCM' is equal to three-fourth of the area of trapezium ABCD, if AB = CD.
2. ‘Area of triangle DCM + Area of triangle ABM' is always greater than half of the area of trapezium ABCD.
Which of the above statements is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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