What will come in place of question mark (?) in the given number series?
48 63 43 68 38 ?

Options

A. 76
B. 73
C. 79
D. 66

Answer

To solve the number series: 48, 63, 43, 68, 38, ?, we need to identify the pattern in the differences between the numbers.

**Step 1: Identify the differences between consecutive numbers.**
- From 48 to 63: \(63 - 48 = 15\) (increase)
- From 63 to 43: \(43 - 63 = -20\) (decrease)
- From 43 to 68: \(68 - 43 = 25\) (increase)
- From 68 to 38: \(38 - 68 = -30\) (decrease)

**Step 2: Write down the differences.**
- The differences are: +15, -20, +25, -30

**Step 3: Identify the pattern in the differences.**
- The pattern in the differences alternates between positive and negative:
- The positive differences are: +15, +25 (increasing by 10)
- The negative differences are: -20, -30 (decreasing by 10)

**Step 4: Predict the next difference.**
- Following the established pattern, the next positive difference should be +35 (since +25 + 10 = +35).

**Step 5: Calculate the next number in the series.**
- The last number we have is 38.
- To find the next number (?), we add the next positive difference:
\[ ? = 38 + 35 = 73 \]

**Conclusion:**
The number that comes in place of the question mark (?) is **73**.

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