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MATHEMATICS PRACTICE QUESTIONS

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LOGICAL REASONING

1.

The following statements are true of a certain community.

S: Most businessmen are rich.

T: No salary worker is rich.

(i)

Draw a Venn diagram to illustrate the information.

(ii)

State whether the following statements are Valid or Not Valid.

(α)

Ali is a businessman and therefore rich.

(β)

Ahmed is not rich because he is a salary worker.

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2.

Consider the following statements:

X: All policemen wear uniform;
Y: Civil servants do not wear uniform.

If P = {policemen}, T = {people who wear uniform} and C = {civil servants},

(i)

draw a Venn diagram to illustrate X and Y;

(ii)

use the venn diagram to determine which of the following implications are valid or not valid conclusions from X and Y;

(α)

Adu wears uniform ⇒ Adu is a policeman;

(β)

Ofei is a policeman ⇒ Ofei is not a Civil Servant

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