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Find the wrong term in the following num...

Find the wrong term in the following number series questions.
132,156,182,210,235,272,306

A

A)306

B

B)132

C

C)235

D

D)272

Text Solution

AI Generated Solution

The correct Answer is:
To find the wrong term in the series: 132, 156, 182, 210, 235, 272, 306, we can analyze the pattern followed by the terms. ### Step-by-Step Solution: 1. **Identify the Terms**: Write down the series clearly: - 132, 156, 182, 210, 235, 272, 306 2. **Look for a Pattern**: We will check if there is a consistent pattern in the multiplication of consecutive integers: - The first term is \( 132 \). - The second term is \( 156 \). - The third term is \( 182 \). - The fourth term is \( 210 \). - The fifth term is \( 235 \). - The sixth term is \( 272 \). - The seventh term is \( 306 \). 3. **Check Multiplication Patterns**: - \( 132 = 11 \times 12 \) - \( 156 = 12 \times 13 \) - \( 182 = 13 \times 14 \) - \( 210 = 14 \times 15 \) - \( 235 \) does not fit this pattern, so we will check the next term. - \( 272 = 16 \times 17 \) (which is incorrect as per our previous terms). - \( 306 = 17 \times 18 \) 4. **Find the Correct Value**: - Continuing the pattern, the fifth term should be \( 15 \times 16 = 240 \). - Therefore, the fifth term \( 235 \) is incorrect. 5. **Conclusion**: The wrong term in the series is \( 235 \). The correct term should be \( 240 \). ### Final Answer: The wrong term is **235**. The correct term should be **240**.
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