Question
5. How many of the following take integer values? (1)/(1) (11)/(1+1) (111)/(1+1+1) (1111)/(1+1+1+1) (11111)/(1+1+1+1+1) A 0 B 1 C 2 D 3 E 4
Answer
4.7
(156 Votes)
Dwight
Master · Tutor for 5 years
Answer
C 2.
Explanation
This question is asking us to consider five different numbers and answer how many of these numbers are integers. An integer is a number which can be specified without a fractional or decimal component. This means the number is either a whole number or the negative of a whole number.Let's calculate each of these fractions to see if they come out to be integers:-
which is an integer.-
which is not an integer.-
which is an integer.-
which is not an integer.-
which is not an integer.Clearly, only 1 (the first fraction) and 37 (the third fraction) are whole numbers.