**USET Mathematical Science Question Papers Answers.**

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**USET Mathematical Science Question Papers Answers.**

**USET Mathematical Science Question Papers Answers.**

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** 1. Let A and B be any.Ewo sets and A x B denote the cartesian product ofA and B. Then:**

(A) If A x B is countable, then both A and B are countable.

(B) If A x B is countable, then A is countable.

(C) If A x H is countable, then B is countable.

(D) If A x B is countable, then either A or B is countable.

**2. One of the following statements is true. Identify:**

(A) Eveiy subset of rational numbers which is bounded above has a unique supccmum rational number.

(B) Every subset of rational numbers which is bounded above has a unique supremum real number.

(C) The set of rational numbers has least upper bound property.

(1)) The set of real numbers does not have the greatest lower bound property.

** If is an increasing function and g is a decreasing function on an interval such that fog exists, then:**

(A) fog is an increasing function on I

(B) fog is decreasing function on I

(C) fog is neither increasing nor decreasing on I

(D)none of these

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