Q15 of 114 Page 3

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.

Let a be the number of students

Therefore,


Each student denoted a rupee


So,


Total amount collected = a × a rupees


= 2401


a2 = 2401


a = 49


Therefore,


There are 49 students in the class


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

(i) 7744


(ii) 9604


(iii) 5929


(iv) 7056

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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.

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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