Important Questions of Mathematical Reasoning Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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51.

Identify the quantifiers in the following statements.

(i) There exists a real number which is twice of itself.
(ii) For every x ∊ N, x + 10 > x.

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52.

Identify the type of “or” used in the following statements.

(i) An ice cream or coca-cola is available with piza.

(ii) A lady gives birth to a baby boy or a baby girl.

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53. Write the following statement in the form “if-then”.
You get a job implies that your credentials are good. 
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54. Write the following statement in the form “if-then”.
The banana trees will bloom if it stays warm for a month.
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55. Write the following statement in the form “if-then”.
A quadrilateral is a parallelogram if its diagonals bisect each other.
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56.

Write the following statements in “if-then” form.

p : A number is multiple of 9 only if it is multiple of 3.

q : When a number is multiple of 9, it is necessarily a multiple of 3.

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57.

Rewrite the following statement with “if-then” in five different ways conveying the same meaning.
If a natural number is odd, then its square is also odd.

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58. Write the contrapositive and converse of the following statement:
If x is a prime number, then x is odd.
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59. Write the contrapositive and converse of the following statement:
If the two lines are parallel, then they do not intersect in the same plane.
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60. Write the contrapositive and converse of the following statement:
Something is cold, implies that it has low temperature.
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