The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 4 and no more than 30, how many different combinations of rectangular shapes are possible? Choose the correct choice from the following options.
A) 4.  B) 5.  C) 6.  D) 8.  E) 10.
firstly factors of 120 = 1,2,3,4,5,6,8,10,12,15,20,24,30,40,... etc...   the questions says each row will have airplanes not less than 4 and not more than 30,   therefore, we should be interested in the factors starting from 4 till 30 (inclusive)   4(in each row) * 30(number of columns) =120, similarly   5 * 24   6 * 20   8 * 15   10 * 12   12 * 10   15 * 8   20 * 6   24 * 5   30 * 4   total possibilities = 10   option 10.
<result>E</result>
The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 4 and no more than 30, how many different combinations of rectangular shapes are possible?