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JAMB Mathematics 2024 Paper

Question : 48

Total: 50

The number of 144 students who registered for mathematics, physics, and chemistry in an examination are shown in the Venn diagram. How many registered for physics and mathematics?

Validate

Solution:

Concept:

Use the total number of students to find the unknown

x

from the Venn diagram regions.

Explanation:

Add all the disjoint regions in the Venn diagram and equate the sum to

144

(42 - x) + (30 - x) + 34 + 4x + 3x + 6 + x + 2x = 144

Simplify the constants and the

x

-terms:

112 + 8x = 144

8x = 32

x = 4

Students registered for physics and mathematics are represented by

4x + 2x

4(4) + 2(4) = 16 + 8 = 24

Answer:

24

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