Discrete Mathematics MCQs with answers Page - 7

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Q. A polygon with 12 sides can be triangulated into

  • (A) 7
  • (B) 10
  • (C) 5
  • (D) 12

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Q. Which amount of postage can be formed using just 4-cent and 11-cent stamps?

  • (A) 2
  • (B) 5
  • (C) 30
  • (D) 10

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Q. Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) is true; for all positive integers n, if P(n) is true then P(n+2) is true.

  • (A) p(3)
  • (B) p(2)
  • (C) p(4)
  • (D) p(6)

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Q. Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) and P(2) is true; for all positive integers n, if P(n) and P(n+1) is true then P(n+2) is true.

  • (A) p(1)
  • (B) p(2)
  • (C) p(4)
  • (D) p(n)

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Q. A polygon with 25 sides can be triangulated into

  • (A) 23
  • (B) 20
  • (C) 22
  • (D) 21

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Q. How many even 4 digit whole numbers are there?

  • (A) 1358
  • (B) 7250
  • (C) 4500
  • (D) 3600

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Q. In a multiple-choice question paper of 15 questions, the answers can be A, B, C or D. The number of different ways of answering the question paper are

  • (A) 65536 x 47
  • (B) 194536 x 45
  • (C) 23650 x 49
  • (D) 11287435

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Q. Neela has twelve different skirts, ten different tops, eight different pairs of shoes, three different necklaces and five different bracelets. In how many ways can Neela dress up?

  • (A) 50057
  • (B) 14400
  • (C) 34870
  • (D) 56732

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Q. For her English literature course, Ruchika has to choose one novel to study from a list of ten, one poem from a list of fifteen and one short story from a list of seven. How many different choices does Rachel have?

  • (A) 34900
  • (B) 26500
  • (C) 12000
  • (D) 10500

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Q. The code for a safe is of the form PPPQQQQ where P is any number from 0 to 9 and Q represents the letters of the alphabet. How many codes are possible for each of the following cases? Note that the digits and letters of the alphabet can be repeated.

  • (A) 874261140
  • (B) 537856330
  • (C) 549872700
  • (D) 456976000

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