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Quantitative Ability section in XAT can upset the strong will and confidence of even the most serious XAT aspirants. Some basic points which should be kept in mind while preparing and practicing for QA so that you must not get upset.
Practice on QA is the best solution!
In the figure given below, ABCD is a parallelogram. E is the midpoint of the side BC. DF is drawnperpendicular to AE. If AB = 5.6 cm and BC = 2.8 cm, find the length of CF.
(a) 4.2 cm (b) 5.6 cm (c) 4.8 cm (d) 5.4 cm
Solution:
Let’s draw CH parallel to AE intersecting DF at G.
As CE || AH and AE || CH, AECH is also a parallelogram.
Hence, CE = AH and H is the midpoint of AD.
In ADF,GH || AF,therefore, G is the midpoint of FD.
(Basic Proportionality Theorem)
In CFD,since EF || CG and CGF 90CG is the median as well as the altitude. Hence, CDFis an isosceles triangle and CF = CD = 5.6 cm.
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