Question 13The following number pairs go together in a certain way.Find the missing number.26, 23616, 14629, 26311, 10125, ?A: 237 B: 625 C: 227 D: 247 E: 225

To solve this problem, we need to identify the pattern or rule that connects each pair of numbers. Let's analyze the given pairs step by step:

1. Pair: 26, 236

   • The first number is 26.
   • The second number is 236.
   • Notice that 26 squared is 676, which is not 236. So, squaring is not the pattern.

2. Pair: 16, 146

   • The first number is 16.
   • The second number is 146.
   • Notice that 16 squared is 256, which is not 146. So, squaring is not the pattern.

3. Pair: 29, 263

   • The first number is 29.
   • The second number is 263.
   • Notice that 29 squared is 841, which is not 263. So, squaring is not the pattern.

4. Pair: 11, 101

   • The first number is 11.
   • The second number is 101.
   • Notice that 11 squared is 121, which is not 101. So, squaring is not the pattern.

5. Pair: 25, ?

   • The first number is 25.
   • We need to find the second number.

Let's look for another pattern. Consider the possibility that the second number is formed by inserting a digit into the first number:

1. Pair: 26, 236

   • Insert 3 between 2 and 6 to get 236.

2. Pair: 16, 146

   • Insert 4 between 1 and 6 to get 146.

3. Pair: 29, 263

   • Insert 6 between 2 and 9 to get 263.

4. Pair: 11, 101

   • Insert 0 between 1 and 1 to get 101.

Following this pattern, for the pair 25, we need to insert a digit between 2 and 5. The options are:

A: 237 B: 625 C: 227 D: 247 E: 225

The correct answer should be the one where a single digit is inserted between 2 and 5. The only option that fits this pattern is:

D: 247 (Insert 4 between 2 and 5 to get 247).

So, the missing number is 247.