Question

Which of the following statements are not well defined?​

$\text{I}.$ Set of best cricketers in the Indian cricket team
$\text{II}.$ Set of odd natural numbers divisible by $2$
$\text{III}.$ Set of letters in the word $\text{BYJUS}$
$\text{IV}.$ Set of large numbers

• A. $\text{I and II}$
• B. $\text{I and IV}$
• C. $\text{II and III}$
• D. $\text{II and IV}$

Answer 1

The correct option is B $\text{I and IV}$

$\text{I}.$ Set of best cricketers in the Indian cricket team:​
The term ‘best cricketer’ is not well defined because it can vary from person to person.

$\text{II}.$ Set of odd natural numbers divisible by $2$: ​
No odd natural number is divisible by $2$, so, this is a null set.​

$\text{III}.$ Set of letters in the word $\text{BYJU'S}$: $\{\text{B},\text{Y},\text{J},\text{U},\text{S}\}$

$\text{IV}.$ Set of large numbers:​
We can’t define large numbers, hence, it is not a well defined set.​