What value will come in place of question mark (?) in the questions given below?
573, 357, 232, 168, 141, ?

Options

A. 135
B. 132
C. 134
D. 133

Answer

To find the value that will replace the question mark (?) in the series 573, 357, 232, 168, 141, we will analyze the differences between the consecutive numbers in the series.

**Step 1: Calculate the differences between consecutive terms.**

1. **Difference between 573 and 357:**
\[ 573 - 357 = 216 \]

2. **Difference between 357 and 232:**
\[ 357 - 232 = 125 \]

3. **Difference between 232 and 168:**
\[ 232 - 168 = 64 \]

4. **Difference between 168 and 141:**
\[ 168 - 141 = 27 \]

Now we have the differences: 216, 125, 64, and 27.

**Step 2: Identify the pattern in the differences.**

The differences we calculated are:
- 216 (which is \(6^3\))
- 125 (which is \(5^3\))
- 64 (which is \(4^3\))
- 27 (which is \(3^3\))

We can see that these differences are cubes of consecutive integers starting from 6 down to 3.

**Step 3: Determine the next difference.**

Following the pattern, the next difference should be the cube of 2:
\[ 2^3 = 8 \]

**Step 4: Subtract this difference from the last term in the series.**

Now, we will subtract this difference from the last term (141):
\[ 141 - 8 = 133 \]

Thus, the value that will come in place of the question mark (?) is **133**.

**Final Answer: 133**

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