Did you solve it? Are you smarter than an English major?

The solutions to today's puzzles

Earlier today I set you these puzzles for English majors, i.e people who studied English at university. Here they are again with solutions and commentary from Ben Orlin, whose book Math for English Majors is out in September.

For each question below, which option is bigger? No calculators allowed!

the sum of all squares from 1 to 100

the sum of all cubes from 100 to 200

17% of 32

32% of 17

3997/4001

4996/5001

the square root of 6

the cube root of 15

the number of seconds in a year,

the number of hours in a millennium

2¹⁰⁰

5⁴⁵