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CAT 1999 | Question: 130

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The question has a set of four statements. Each statement has three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.

  1. All IIMs are in India. No BIMs are in India. No IIMs are BIMs.
  2. All IIMs are in India. No BIMs are in India. No BIMs are IIMs.
  3. Some IIMs are not in India. Some BIMs are not in India. Some IIMs are BIMs.
  4. Some IIMs are not in India. Some BIMs are not in India. Some BIMs are IIMs.
    1. A and B
    2. C and D
    3. A only
    4. B only

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from deduction rules (http://aptitude.gateoverflow.in/2346/cat1999-125#a2370)

option A) 1.All IIMs are in India. 

              2.No BIMs are in India.

given conclusion :No IIMs are BIMs. its correct , follow all rules .

option B) 1.All IIMs are in India.

              2.No BIMs are in India

given conclusion : No BIMs are IIMs , its correct , does not violate any rules 

option C ) 1.Some IIMs are not in India

               2.Some BIMs are not in India. 

given conclusion : Some IIMs are BIMs. here is no conclusion , according to 5,6 rules , if both premise contain negative and particular statements then there is no conclusion so its false 

option D) 1.Some IIMs are not in India.

              2.Some BIMs are not in India

given conclusion : Some BIMs are IIMs. , here is no conclusion , reason same as option C . so its false 

so option A and B are correct hence option 1 ) correct ans 

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