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2916, 972, 354, 108, 36, 12...

2916, 972, 354, 108, 36, 12

A

2916

B

972

C

354

D

36

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to analyze the given series: 2916, 972, 354, 108, 36, 12. ### Step 1: Identify the pattern We will look for a pattern in the series. Notice that the numbers seem to decrease significantly. One common operation that can cause such a decrease is division. ### Step 2: Check if division by 3 works Let’s divide each number by 3 and see if we can find a consistent pattern: - **2916 ÷ 3 = 972** - **972 ÷ 3 = 324** - **354 ÷ 3 = 118** (this is not consistent with the next number) - **108 ÷ 3 = 36** - **36 ÷ 3 = 12** ### Step 3: Compare with the original series From our calculations, we see that: - Starting from 2916, dividing by 3 gives us 972, which is correct. - Dividing 972 by 3 gives us 324, which does not match with 354 in the original series. - Dividing 108 by 3 gives us 36, which is correct. - Dividing 36 by 3 gives us 12, which is also correct. ### Step 4: Identify the incorrect number Since the number that should follow 972 is 324 (not 354), we conclude that 354 is the incorrect number in the series. ### Conclusion The wrong number in the series is **354**, and it should be **324**.

To solve the problem step by step, we need to analyze the given series: 2916, 972, 354, 108, 36, 12. ### Step 1: Identify the pattern We will look for a pattern in the series. Notice that the numbers seem to decrease significantly. One common operation that can cause such a decrease is division. ### Step 2: Check if division by 3 works Let’s divide each number by 3 and see if we can find a consistent pattern: ...
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