35 percent of a group of 70 researchers will be assigned to team A and the remaining 65 percent to team B. However, 60 percent of the researchers prefer team A and 40 percent prefer team B. What is the least possible number of researchers who will NOT be assigned to the team they prefer?

Ashifur August 8, 2023 - 14:59

Problem: 35 percent of a group of 70 researchers will be assigned to team A and the remaining 65 percent to team B. However, 60 percent of the researchers prefer team A and 40 percent prefer team B. What is the least possible number of researchers who will NOT be assigned to the team they prefer?

View all: BANGLADESH COMMERCE BANK LTD. | OFFICER | WRITTEN QUESTION SOLVE (MATH) | 2006

Correct Answer: 17

Explanation:

No. of researchers in team A = $70\frac{35}{100}$

= 24.5 = 25 (approx.)And No. of researchers in team B = $70\frac{65}{100}$

= 45.5= 45.(approx.)

Now, No. of researchers who prefer team A = $70\frac{60}{100}$ = 42.And No. of researchers who prefer team B = $70\frac{40}{100}$ = 28.No. of researchers prefer team A but not assigned to team A = 42 — 25 = 17And No. of researchers prefer team B but not assigned to team B = 45 — 28 = 17.The least possible number of researchers not to be assigned to the preferred team = 17.

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