Answer
Verified
382.6k+ views
Hint:Given that students are standing in such a manner that number of rows and number of columns are equal in a P.T. drill. Then, first break the number (of students) as the product of its factors and then make pairs of numbers. The numbers left in the product whose pairs are not possible, will be the number of students left out in this arrangement.
Complete step-by-step answer:
Number of students in the school = 500
500 can be written as
i.e., $500 = 2 \times 2 \times 5 \times 5 \times 5$
$ \Rightarrow \sqrt {500} = \sqrt {2 \times 2 \times 5 \times 5 \times 5} = 10\sqrt 5 = 10 \times 2.03 = 22.03 \approx 22$
$ \Rightarrow $In each row or each column maximum 22 students can be arranged
$ \Rightarrow $maximum students can participate in P.T. drill will ${\left( {22} \right)^2}$
Therefore, the number of students left out$ = 500 - {\left( {22} \right)^2} = 500 - 484 = 16$.
Note:The question can also be done by assuming that
Number of students in rows be x and number of students in columns are in the same number x.
Then, $x \times x = 500 \Rightarrow x = \sqrt {500} $
Here the remainder is 16, which is the number of students left out.
The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.
Complete step-by-step answer:
Number of students in the school = 500
500 can be written as
i.e., $500 = 2 \times 2 \times 5 \times 5 \times 5$
$ \Rightarrow \sqrt {500} = \sqrt {2 \times 2 \times 5 \times 5 \times 5} = 10\sqrt 5 = 10 \times 2.03 = 22.03 \approx 22$
$ \Rightarrow $In each row or each column maximum 22 students can be arranged
$ \Rightarrow $maximum students can participate in P.T. drill will ${\left( {22} \right)^2}$
Therefore, the number of students left out$ = 500 - {\left( {22} \right)^2} = 500 - 484 = 16$.
Note:The question can also be done by assuming that
Number of students in rows be x and number of students in columns are in the same number x.
Then, $x \times x = 500 \Rightarrow x = \sqrt {500} $
Here the remainder is 16, which is the number of students left out.
The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE