In the given Venn diagram, circle A represents books, circle B represents pens…
2025
In the given Venn diagram, circle A represents books, circle B represents pens and circle C, represents pencils. Which number represents only book and pencils?
- A.
16
- B.
15
- C.
11
- D.
19
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Show answer & explanation
Correct answer: A
Key idea: "Only book and pencils" means the region that belongs to both the books circle and the pencils circle but not to the pens circle.
Step 1: Identify the triple-overlap (books ∩ pens ∩ pencils) — that region is labeled 4.
Step 2: Find the combined overlap of books and pencils (books ∩ pencils). This includes the triple-overlap and the region shared only by books and pencils; on the diagram these are 4 and 16.
Step 3: Exclude any part that also includes pens (exclude the triple-overlap 4). The remaining number is 16, which is in books ∩ pencils but not in pens.
Answer: 16 represents only books and pencils.