Discrete Structure (DS) MCQs with answers Page - 17

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Q. Blueberries cost more than strawberries. Blueberries cost less than raspberries.Raspberries cost more than both strawberries and blueberries. If the first two statements are true, the third statement is

  • (A) TRUE
  • (B) FALSE
  • (C) Both
  • (D) None

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Q. All the trees in the park are flowering trees. Some of the trees in the park are dogwoods. All dogwoods in the park are flowering trees. If the first two statements are true, the third statement is

  • (A) TRUE
  • (B) FALSE
  • (C) Both
  • (D) None

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Q. Mara runs faster than Gail.Lily runs faster than Mara.Gail runs faster than Lily.If the first two statements are true, the third statement is

  • (A) TRUE
  • (B) FALSE
  • (C) Both
  • (D) None

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Q. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons.Of the three apartment buildings, the Livingston Gate costs the most.If the first two statements are true, the third statement is

  • (A) TRUE
  • (B) FALSE
  • (C) Both
  • (D) None

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Q. The power set of the set {ϕ} is

  • (A) {ϕ}
  • (B) {ϕ, {ϕ}}
  • (C) {0}
  • (D) None

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Q. Fact 1:All dogs like to run.Fact 2:Some dogs like to swim.Fact 3:Some dogs look like their masters.If the first three statements are facts, which of the following statements must also be a fact? I:All dogs who like to swim look like their masters. II:Dogs who like to swim also like to run.III:Dogs who like to run do not look like their masters.

  • (A) I only
  • (B) II only
  • (C) III only
  • (D) All

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Q. Fact 1: Jessica has four children
Fact 2: Two of the children have blue eyes and two of the children have brown eyes.
Fact 3: Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?
I: At least one girl has blue eyes. II: Two of the children are boys. III: The boys have brown eyes.

  • (A) I only
  • (B) II only
  • (C) III only
  • (D) All

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Q. Fact 1: All drink mixes are beverages. Fact 2: All beverages are drinkable. Fact 3: Some beverages are red.
If the first three statements are facts, which of the following statements must also be a fact?
I: Some drink mixes are red.
II: All beverages are drink mixes.
III: All red drink mixes are drinkable.

  • (A) I only
  • (B) II only
  • (C) III only
  • (D) All

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Q. Fact 1: All chickens are birds. Fact 2: Some chickens are hens. Fact 3: Female birds lay eggs.
If the first three statements are facts, which of the following statements must also be a fact?
I: All birds lay eggs.
II: Some Hens are birds.
III: Some chickens are not hens.

  • (A) I only
  • (B) II only
  • (C) II and III only
  • (D) All

A

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Q. 100 sportsmen were asked whether they play which game: Cricket, hockey,Football. The results were : 45 play cricket, 38 play hockey, 21 play football, 18 play cricket and hockey, 9 play cricket and football, 4 play football and hockey and 23 play none of these. Determine the number of sportsmen who play exactly 1game

  • (A) 54
  • (B) 84
  • (C) 56
  • (D) 78

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