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Table shows the percentage of teachers across six universities A to F. University E has 1856 teachers.

UniversityTeachers (%)
A11
B17
C19
D6
E29
F18

If L and M are the total number of teachers in universities A, B and C together and in universities D, E and F together respectively, then the value of M minus L is exactly equal to the number of teachers in which university?

AC
BD ✓ Correct
CE
DB
Correct answer: (B) D
Explanation

M minus L equals the number of teachers in university D, so the answer is D.

Universities A, B and C together are 11 plus 17 plus 19, which is 47 percent, so L is 3008.

Universities D, E and F together are 6 plus 29 plus 18, which is 53 percent, so M is 3392.

So M minus L is 3392 minus 3008, which is 384.

University D has 6 percent of 6400, which is 384.

So M minus L equals the teachers in university D.

So the answer is D.

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