Question Details

Read the table carefully and answer the following questions.
Players Matches played Matches Won
A 18 12
B 36 28
C 24 20
D 30 8
If the number f matches played by E is 33.33% more than matches played by D and number of matches lose by E is equal to matches won by B.
find the number of matches won by E.
The table given below shows the total number of matches played by four players and number of matches won by them.

Players	Matches played	Matches Won
A	18	12
B	36	28
C	24	20
D	30	8

Options

Show Answer

Correct Answer :

Option C

Solution :

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3. No LaTeX ($..$).

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- "You MUST output math using HTML _{/^{and MathML $. You are strictly forbidden from using LaTeX ($..$)."
- "VERY IMPORTANT: Do NOT use HTML hex or decimal entities (like − or −) for symbols like minus or arrows. Use standard raw unicode characters like -, +, =, ⇒ directly."
- "CRITICAL: Never use display="block" in your tags, as this centers the equations. You MUST either omit the display attribute completely, or set it exactly to display="" so equations remain left-aligned."

Let's write down clean HTML/MathML code.

```html 12 The correct option is$ 12.
Step 1: Extract relevant data from the given table.
From the table provided:
• Matches played by Player D = 30
• Matches won by Player B = 28
Step 2: Calculate the total number of matches played by Player E.
It is given that the number of matches played by E is 33.33% (or 1/3) more than the matches played by D.
$Increase in matches = \frac{1}{3} \times 30 = 10$
$Matches played by E = 30 + 10 = 40$
Step 3: Calculate the number of matches won by Player E.

It is given that the number of matches lost by E is equal to the number of matches won by B.
$Matches lost by E = Matches won by B = 28$
The total matches played by E is the sum of matches won and matches lost by E:
$Matches won by E = Total matches played by E - Matches lost by E$
$Matches won by E = 40 - 28 = 12$
Thus, the number of matches won by E is 12.}}}}