Geometry

Started 9 months ago by Ayush in XAT, XAT Quantitative Ability and Data Interpretation, Geometry

In quadrilateral PQRS, PQ = 7, QR = 4, RS = 11 and SP = 3. If the length of the diagonal PR is d, which of the following is true?

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In quadrilateral PQRS, PQ = 7, QR = 4, RS = 11 and SP = 3. If the length of the diagonal PR is d, which of the following is true?

a 16< d

 

b 12 < d < 14

 

c 14 < d < 16

 

d 8 < d < 11

 

e 7 < d < 10

Tags: xat

1 Replies

  • Replied 9 months ago

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    In ΔPQR, PR < PQ + QR 

    PR < 7 + 4

    PR < 11

    In ΔPSR, PS + PR  >  SR

    PR  > SR - PS 

    PR  > 11 – 3

    PR > 8

     

    Thus 8 < PR < 118 < d < 11

    Choice (D).