XAT / #XAT 2018

September 02, 2017 @ 12:48 PM

September 02, 2017 @ 12:48 PM

K. J. Somaiya Institute of Management Studies and Research, Mumbai

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XAT 2015 :QA must not upset you

Published : Tuesday, 25 November, 2014 03:45 PM
 
XAT 2015 will be conducted on 04th January, 2015, Sunday in 47 cities across India and 2 International cities outside India.
 
Registration for the same is open and will end on 30th November, 2014. 
 
 
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.
 
XAT 2015 Study material - Quantitative ability
 
(a) 4.2 cm       (b) 5.6 cm        (c) 4.8 cm           (d) 5.4 cm
 
 
Solution:
 
XAT 2015 Study material - Quantitative ability
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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