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CAT 2025 Geometry & Mensuration — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Hard

Question

Slot-1

A farmer has a quadrilateral parcel of land with a perimeter of 700 feet. Two opposite angles of that parcel of land are right angles, while the remaining two are not. The farmer wants to do organic farming on that parcel of land. The cost of organic farming is Rs. 400 per square foot.

Consider the following two additional pieces of information:

I. The length of one of the sides of that parcel of land is 110 feet. II. The distance between the two corner points where the non-perpendicular sides of that parcel of land intersect is 265 feet.

To determine the amount of money the farmer needs to spend to do organic farming on the entire parcel of land, which of the above additional pieces of information are MINIMALLY SUFFICIENT?

Either of I or II, by itself

II only

The amount cannot be determined even with the additional pieces of information.

I only

I and II together only

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