Question:medium

Which of the following is true:
(A) Integers from 0 to infinity are called whole numbers.
(B) An integer always has to be positive.
(C) 91 is a prime number.
(D) All natural numbers, whole numbers and integers are rational numbers.
Choose the correct answer from the options given below:

Show Hint

Check each statement against the definitions of whole numbers, integers and prime numbers.
  • (A) and (D) only.
  • (A), (B) and (D) only.
  • (A), (B), (C) and (D).
  • (B), (C) and (D) only.
Show Solution

The Correct Option is A

Solution and Explanation

Check each statement and eliminate the false ones.
Statement (B) fails immediately because integers such as $-5$ exist, so any option containing (B) can be dropped.
Statement (C) fails because $91 = 7 \times 13$ is composite, not prime, so any option containing (C) can be dropped.
That leaves only the option built from (A) and (D). Statement (A) matches the standard definition of whole numbers, and (D) holds because every integer $n$ can be written as $n/1$, a rational number.
\[\boxed{\text{(A) and (D) only}}\]
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