This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Peter and David
Here are the solutions to Question 10 based on the provided table:
Question 10:
a) Who likes pineapples but not bananas? Step 1: Identify children who like pineapples (have a dash in the 'Pineapples' column). These are Mary, Peter, and David. Step 2: From this group, identify those who do not like bananas (have an empty cell in the 'Bananas' column). • Peter likes pineapples and does not like bananas. • David likes pineapples and does not like bananas. The answer is .
b) Who likes apples and oranges but not bananas? Step 1: Identify children who like apples (dash in 'Apples' column) and oranges (dash in 'Oranges' column). • John likes apples and oranges. • David likes apples and oranges. Step 2: From this group, identify those who do not like bananas (empty cell in 'Bananas' column). • John likes bananas. • David does not like bananas. The answer is .
c) Who likes oranges and grapes but not pineapples? Step 1: Identify children who like oranges (dash in 'Oranges' column) and grapes (dash in 'Grapes' column). • John likes oranges and grapes. • Peter likes oranges and grapes. Step 2: From this group, identify those who do not like pineapples (empty cell in 'Pineapples' column). • John does not like pineapples. • Peter likes pineapples. The answer is .
d) Who likes apples, pineapples and grapes? Step 1: Identify children who like apples (dash in 'Apples' column), pineapples (dash in 'Pineapples' column), and grapes (dash in 'Grapes' column). • Mary likes apples, pineapples, and grapes. The answer is .
e) Who likes oranges but not apples? Step 1: Identify children who like oranges (dash in 'Oranges' column). These are John, Peter, and David. Step 2: From this group, identify those who do not like apples (empty cell in 'Apples' column). • John likes apples. • Peter does not like apples. • David likes apples. The answer is .
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Question 10: a) Who likes pineapples but not bananas? Step 1: Identify children who like pineapples (have a dash in the 'Pineapples' column).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.