Amy wrote 320 pages (rounded to nearest tens) in 20 days

[BTGmoderatorDC]

Amy wrote 320 pages (rounded to nearest tens) in 20 days (rounded to nearest tens). On an average, the number of pages 'x' that Amy wrote per day must have been between -


A. 315/25≤x≤325/15
B. 315/15<x<325/25
C. 315/24≤x≤324/15
D. 320/25<x<320/15
E. 315/20<x<325/20

OA C

Source: e-GMAT

[swerve]

320 pages (rounded to nearest tens) - means 315 to 324
20 days (rounded to nearest tens) - means 15 to 24

The average is pages /days.

Max average will be (max pages)/(least days) \(=\frac{324}{15}\)

Min average will be (min pages)/(max days) \(=\frac{315}{24}\)

The range, therefore, is \(\frac{315}{24} \leq x \leq \frac{324}{15}\)