The average of 16 numbers is 45 The average of the first 7 numbers is 45 and the average of the next...........

Quantitative Aptitude (CPO) Average

The average of 16 numbers is 45. The average of the first 7 numbers is 45 and the average of the next 6 numbers is 52. If the14^thnumber is 11 less than the 15^th number and is 5 more than the 16^th number, then the average of the 15^th and 16^th number is:

This questions was previously asked in

SSC CPO 12th-March-2019-Shift-1

View All SSCCPO Previous Year Papers

48.5

47.5

छोटे Courses बड़े Results

Master Average

Prepare through Micro-courses

Try Now

Explanation:

Correct option 2: 48
The sum of 16 numbers = 48 x 16 = 768
The sum of first 7 numbers = 45 x 7 = 315
The sum of next 6 numbers = 52 x 6 = 312
The sum of the last 3 numbers = 768-315-312 = 141
Let the 16^th number be x.
14^th number = x + 5
14^th number = 15^th number - 11
=x+5= 15th number - 11
15^th number = x + 16
The sum of the last 3 numbers = 141
⇒x+x+5+x+16=141
⇒x=40
15th number = 40 + 16 = 56
The average of the 15th and 16th number = (56+40)/2 = 48