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CAT 1994 — QA Question 10

Number TheoryEasy
Passage / Data

Answer the next 3 questions based on the information given below:

Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; in his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighospur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighospur are 32 and 117 respectively.

If a + b + c = 0, where a ≠ b ≠ c, then a22a2+bc+b22b2+ac+c22c2+ab is equal to

Answer & solution

  • A

    zero

  • 1

  • C

    -1

  • D

    abc

Solution

Assume some values of a, b & c such that sum of a, b and c is 0 where a ≠ b ≠ c, and find the value of the given expression.
Let a = 1, b = -1 and c = 0.

⇒a22a2+bc+b22b2+ac+c22c2+ab=12+12 + 0 = 1.

CAT 1994 QA Q10: If a + b + c = 0, where a ≠ b ≠ c, then a 2 2 a 2 + b c + b 2 2 b 2 + a c + c 2 2 c 2 + a b is equal to — Solution | TheCATExam