Find the ratio of the average of students enrolled from…

Study the given table and answer the question that follows.

The table gives the number of graduate students enrolled in 4 different colleges A, B, C, and D in a city over the years 2010 to 2014 and also the number of students who passed in the final examination during these years.

Year	2010	2010	2011	2011	2012	2012	2013	2013	2014	2014
College	Enrolled	Pass	Enrolled	Pass	Enrolled	Pass	Enrolled	Pass	Enrolled	Pass
A	680	620	600	560	720	700	800	760	750	700
B	550	530	450	420	600	550	650	620	700	680
C	480	450	520	500	580	550	620	600	720	700
D	710	650	750	710	680	640	720	690	740	710

Find the ratio of the average of students enrolled from College D to the average of students who passed from College D over all the years.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 18:17.

the average of students enrolled on College D over all the years = $\frac{2010 + 2011 + 2012 + 2013 + 2014}{5}$

= $\frac{710 + 750 + 680+720+740}{5}$ = 720

the average of students who passed from College D over all the years = $\frac{2010 + 2011 + 2012 + 2013 + 2014}{5}$

= $\frac{650+710+640+690+710}{5}$ = 680

the ratio of the average of students enrolled from College D to the average of students who passed from College D = 720 : 680 = 18 : 17

SSC CGL 2023 PYQ — Question 67