Q16 of 114 Page 3

A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.

Let a be number of rows

Therefore,


No. of columns = a


Total number of students who sat in field = a2


Total students = a2 + 71


= 6000


a2 = 5929


a =


a = 11 × 7


= 77


Therefore, total number of rows = 77


More from this chapter

All 114 →
14

Write the prime factorization of the following numbers and hence find their square roots.

(i) 7744


(ii) 9604


(iii) 5929


(iv) 7056

 15

The students of class VIII of a school donated Rs 2401 for PM’s National Relief Fund. Each student donated as many rupees as the number of students in the class, Find the number of students in the class.

 1

Find the square root of each of the following by long division method:

(i) 12544 (ii) 97344


(iii) 286225 (iv) 390625


(v) 363609 (vi) 974169


(vii) 120409 (viiii) 1471369


(ix) 291600 (x) 9653449


(xi) 1745041 (xii) 4008004


(xiii) 20657025 (xiv) 152547201


(xv) 20421361 (xvi)62504836


(xvii) 82264900 (xviii) 3226694416


(xix) 6407522209 (xx) 3915380329

 2

Find the least number which must be subtracted from the following numbers to make them a perfect square:

(i) 2361


(ii) 194491


(iii) 26535


(iv) 161605


(v) 4401624