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CAT 1999 — QA Question 9

ModulusEasy

If |r − 6| = 11 and |2q − 12| = 8,what is the minimum possible value of qr?

Answer & solution

  • A

    -25

  • B

    217

  • C

    1017

  • None of these

Solution

|r − 6| = 11 ⇒ r − 6 = 11, r = 17

or –(r – 6) = 11, r = –5

|2q – 12| = 8 ⇒ 2q –12 = 8 , q = 10

or 2q – 12 = –8 , q =2

Hence, minimum value of qr=10-5=-2

Hence, option (d).

CAT 1999 QA Q9: If |r − 6| = 11 and |2q − 12| = 8,what is the minimum possible value of q r ? — Solution | TheCATExam