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The following table shows the production of five types of two-wheelers by a company in the years 2017–2020.

Years / Two-wheelers2017201820192020Total
B1102019655
B21414161559
B32116131464
B469102651
B52016191671
Total71757777300

In which year was the total production of two-wheelers of types B2 and B3 taken together equal to the total production of two-wheelers of types B4 and B5 taken together?

  • A.2017
  • B.2018
  • C.2019
  • D.2020

Answer: C

The year is 2019. For each year the production of types B2 and B3 together is compared with that of B4 and B5 together.

\[ 2017:\ 14+21=35,\ 6+20=26 \]

\[ 2018:\ 14+16=30,\ 9+16=25 \]

\[ 2019:\ 16+13=29,\ 10+19=29 \]

\[ 2020:\ 15+14=29,\ 26+16=42 \]

The two sums are equal only in 2019, where both come to 29. In 2017 and 2018 the B2 and B3 total is larger, and in 2020 the B4 and B5 total is larger.

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