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In a class, teacher prepared following table showing colours of eyes of 40 students :

Blue eyeBrown eyeBlack eye
Boys5411
Girls7310

Teacher told four students to write one statement each about this table on black-board. They wrote :

(a) Number of boys and girls are equal.
(b) Mostly students have black eye.
(c) Total number of students having blue eyes is odd.
(d) Total number of students having brown eyes is odd.

Choose the correct option :

  • A.(a), (b) are true but (c), (d) are false.
  • B.(a), (b) and (d) are true but (c) is false.
  • C.(b) and (c) are true but (a) and (d) are false.
  • D.(a), (b), (c) are true but (d) is false .

Answer: B

The correct option is (a), (b) and (d) are true but (c) is false.

From the table:

  • Boys: 5 + 4 + 11 = 20; girls: 7 + 3 + 10 = 20. So (a) is true.
  • Black eyes: 11 + 10 = 21 of 40, more than half. So (b) is true.
  • Blue eyes: 5 + 7 = 12, an even number. So (c) is false.
  • Brown eyes: 4 + 3 = 7, an odd number. So (d) is true.

Option 1 wrongly rejects (d), option 3 wrongly rejects (a) and accepts (c), and option 4 accepts (c) and rejects (d).

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