The average of six consecutive even numbers is 25. If the next even number is also considered, what is the new average ?

Let the six consecutive even numbers be $$(x-5),(x-3),(x-1),(x+1),(x+3),(x+5)$$

Average = $$\frac{(x-5)+(x-3)+(x-1)+(x+1)+(x+3)+(x+5)}{6}=25$$

=> $$\frac{6x}{6}=25$$

=> $$x=25$$

Thus, numbers = 20,22,24,26,28,30

If we include the next number, new sum = $$150+32=182$$

$$\therefore$$ New average = $$\frac{182}{7}=26$$

=> Ans - (C)

Shortcut : Average of six consecutive even numbers = 25

=> 3rd and 4th numbers are = 24 and 26

=> Numbers = 20,22,24,26,28,30

If we include next number, = 20,22,24,26,28,30,32

New average = middle number = 26