question if r and s are positive integers, is ​r over s​ less than ​one third​ ? (1) r is less than 20. (2) s is greater than 65.

Respuesta :

The correct option e. Statements (1) and (2) TOGETHER are NOT sufficient.

  • (1) r is less than 20: NOT sufficient.
  • (2) s is greater than 65: NOT sufficient.

Define the term positive integers?

  • The counting numbers or natural numbers, which are also known as the positive integers, are the numbers 1, 2, 3,... Any figure higher than zero is considered positive.

For the stated question-

1. R is less than 20: insufficient since s is unknown.

2. Because there is no date for r, statement 2 is insufficient because S is bigger than 65.

We now have two conditions when combined. s>0 and s>65, r 20 and r>0.

Using the maximum possible value of r as an example and the least possible value of s as an example, the value is greater than 1/3.

Therefore, every values for r would only decrease, while s will rise.

Therefore, simply stating that it won't be below 1/3 will do.

To know more about the positive integers, here

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The complete question is-

If r and s are positive integers, is r/s less than 1/3 ?

(1) r is less than 20.

(2) s is greater than 65.

a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

d. EACH statement ALONE is sufficient.

e. Statements (1) and (2) TOGETHER are NOT sufficient.