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Start set num = 0 display " enter the number" read num if ( remainder (num / 2 ) = 0 ) display "yes" else display "no" end If the ou
Question

Start
set num = 0
display " enter the number"
read num
if ( remainder (num / 2 ) = 0 )
display "yes"
else
display "no"
end
If the output of the above algorithm is "yes", it indicates that num is:

A.

Even number

B.

Amstrong number

C.

Odd number

D.

Prime number

Correct option is A

The algorithm reads num and checks remainder(num / 2) == 0.
If a number leaves zero remainder when divided by 2, it is even by definition.
Upon true, it displays "yes"; otherwise "no" for odd numbers.
This logic does not test for primality or Armstrong property.
Hence, an output of "yes" means num is even.
Important Key Points

  1. Even test: num % 2 == 0 ⇔ even; num % 2 == 1 (or != 0) ⇔ odd (for nonnegative integers).
  2. Negative numbers: Even/odd parity still holds: e.g., -4 % 2 == 0 → even.
  3. No primality check: Primality requires divisibility tests beyond 2; not done here.
  4. No Armstrong check: Armstrong (narcissistic) numbers involve sum of powered digits; unrelated.
  5. I/O flow: Prompt → read → parity check → print "yes"/"no".
  6. Edge case: num = 0 is even since 0 % 2 == 0.

Knowledge Booster

  • Why not (b) Armstrong? Needs digit-power sum equality (e.g., 153); modulus by 2 says nothing about that.
  • Why not (c) Odd? Odd numbers give remainder 1 (or -1), producing "no".
  • Why not (d) Prime? Many even numbers aren’t prime (only 2 is even and prime); parity check doesn’t establish primality.

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