Maths Olympiad Prep

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Problem 385

Combinatorics Difficulty 2.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2019

There are 30 pupils in my class. 20 pupils like Maths and 18 pupils like English. Twice as many pupils like both subjects as like neither of them. How many pupils like only Maths?

(A) 2020 (B) 1616 (C) 1212 (D) 88 (E) 44

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.