Question

A list of numbers is given as: \[6,8,14,36,47,50,130\].
From the given list of numbers, write down one number for each of the following.
A.An odd number
B.A square number
C.A number having a \[7\]
D.A multiple of \[26\]

Answer 1

Hint: Here, in the question, we have been given a list of numbers. And we are asked to identify one number from the list for each of the given options. We will first understand the meaning and definition of all the options and then identify the number for each of them.

Complete step-by-step answer:
Given list of numbers \[6,8,14,36,47,50,130\]

Odd number: Any number which cannot be divided by \[2\] is defined as the odd number. We can also say that any number which doesn’t have one of its factors as \[2\], is known as an odd number. In other words, odd numbers are the numbers which when divided by \[2\] gives the remainder of \[1\]. Hence, \[2k + 1\] is the representation of all odd numbers where, \[k\] is any integer.
Therefore, from the given list of numbers \[47\] is the only odd number.

Square number: A square number or a perfect square is a number which is square of any integer. In other words, it is the product of any integer number with itself.
Therefore, from the given list of numbers, \[36\] is the only square number.

A number having factor \[7\]: It can be any number which is completely divisible by \[7\].
Therefore, from the list of given numbers, \[14\] is the only number having factor \[7\].

A multiple of \[26\]: Simply, it can be any number which is completely divisible by \[26\].
Therefore, from the list of given numbers, \[130\] is the only number which is a multiple of \[26\].

A.47
B.36
C.14
D.130

Note: For answering such types of questions, it is important that we understand the basic terms and their definition related to numbers. We should be very clear of the term factor. \[7\] is one of the factors of \[21\] but \[21\] is not a factor of \[7\], but we can say that \[21\] is a number having a factor \[7\].