What will come in place of question mark (?) in the following series questions?
35,42,?,56,63,70

Options

A. A)48
B. B)52
C. C)45
D. D)49

Answer

To find the missing term in the series 35, 42, ?, 56, 63, 70, we can follow these steps:

### Step 1: Identify the pattern in the series
We start by examining the differences between consecutive terms in the series.

- From 35 to 42:
\[ 42 - 35 = 7 \]

- From 42 to the missing term (let's call it \( k \)):
\[ k - 42 \]

- From \( k \) to 56:
\[ 56 - k \]

- From 56 to 63:
\[ 63 - 56 = 7 \]

- From 63 to 70:
\[ 70 - 63 = 7 \]

### Step 2: Establish the pattern
From the calculations above, we can see that the difference between consecutive terms is consistently 7, except for the term \( k \).

### Step 3: Set up the equation
Since we have established that the difference is 7, we can express this as:
\[ k - 42 = 7 \quad \text{(from 42 to \( k \))} \]
or
\[ 56 - k = 7 \quad \text{(from \( k \) to 56)} \]

### Step 4: Solve for \( k \)
Using the first equation:
\[ k - 42 = 7 \]
Adding 42 to both sides gives:
\[ k = 42 + 7 = 49 \]

Alternatively, using the second equation:
\[ 56 - k = 7 \]
Rearranging gives:
\[ k = 56 - 7 = 49 \]

### Conclusion
In both cases, we find that the missing term \( k \) is:
\[ \boxed{49} \]