what should come in place of question mark 33 321 465 537 573 ?

Options

A. 600
B. 591
C. 585
D. None of the above

Answer

To solve the problem step by step, we need to identify the pattern in the given series: 33, 321, 465, 537, 573, ?.

### Step 1: Identify the differences between consecutive numbers
- The first number is 33.
- The second number is 321.
- The difference between 321 and 33 is:
\( 321 - 33 = 288 \)

- The third number is 465.
- The difference between 465 and 321 is:
\( 465 - 321 = 144 \)

- The fourth number is 537.
- The difference between 537 and 465 is:
\( 537 - 465 = 72 \)

- The fifth number is 573.
- The difference between 573 and 537 is:
\( 573 - 537 = 36 \)

### Step 2: Analyze the differences
Now we have the differences:
- 288
- 144
- 72
- 36

### Step 3: Identify the pattern in the differences
The differences are halving each time:
- \( 288 \div 2 = 144 \)
- \( 144 \div 2 = 72 \)
- \( 72 \div 2 = 36 \)

### Step 4: Calculate the next difference
Continuing the pattern, the next difference should be:
- \( 36 \div 2 = 18 \)

### Step 5: Add the next difference to the last number
Now, we add this difference to the last number in the series:
- \( 573 + 18 = 591 \)

### Conclusion
Thus, the number that should come in place of the question mark is **591**.