There are two number series given below. First number series is arranged in a particular way and second series is based on first series. On the basis of this, which number will come at the place of D. 49 100 153 208 265 324 :16 A B C D E

Answer

To solve the problem, we need to analyze the first number series and identify the pattern. The first series is:

49, 100, 153, 208, 265, 324

### Step 1: Identify the differences between consecutive terms in the first series.

- 100 - 49 = 51
- 153 - 100 = 53
- 208 - 153 = 55
- 265 - 208 = 57
- 324 - 265 = 59

### Step 2: Observe the pattern in the differences.

The differences between the terms are:
- 51, 53, 55, 57, 59

We can see that the differences are increasing by 2 each time.

### Step 3: Determine the next difference.

Following the pattern, the next difference after 59 will be:
- 59 + 2 = 61

### Step 4: Calculate the next term in the first series.

Now, we will add this next difference to the last term of the first series:
- 324 + 61 = 385

### Step 5: Establish the second series based on the first series.

The second series is given as:
16, A, B, C, D, E

We need to determine the values of A, B, C, D, and E based on the first series.

### Step 6: Calculate the values for A, B, C, D.

Starting from 16:
- A = 16 + 51 = 67
- B = 67 + 53 = 120
- C = 120 + 55 = 175
- D = 175 + 57 = 232

### Step 7: Finalize the answer for D.

Thus, the value of D is 232.

### Summary of the solution:
The number that will come at the place of D is **232**.

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