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CAT 2025 Geometry & Mensuration — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Hard

Question

Slot-2

In a triangle PQR, point X is on PQ and point Y is on PR such that XP = 1.5 units, XQ = 6 units, PY = 2 units and YR = 8 units. Consider the following statements:

Statement I: QR = 5 XY Statement II: Triangle PYX is similar to triangle PRQ

In the light of the above statements, choose the correct answer from the options given below.

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

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