Finding the Missing Number in the Series

Given series: 0, 7, 26, ?, 124, 215

To find the missing number in the series, we need to identify the pattern followed by the numbers in the series. Let's analyze the given series step by step:

Step 1: The first number in the series is 0.

Step 2: To get the second number, we need to add 7 to the first number. Therefore, the second number in the series is 0 + 7 = 7.

Step 3: To get the third number, we need to add 9 to the second number. Therefore, the third number in the series is 7 + 9 = 16.

Step 4: To get the fourth number, we need to add 11 to the third number. Therefore, the fourth number in the series is 16 + 11 = 27.

Step 5: To get the fifth number, we need to add 13 to the fourth number. Therefore, the fifth number in the series is 27 + 13 = 40.

Step 6: To get the sixth number, we need to add 15 to the fifth number. Therefore, the sixth number in the series is 40 + 15 = 55.

Step 7: To get the seventh number, we need to add 17 to the sixth number. Therefore, the seventh number in the series is 55 + 17 = 72.

Step 8: To get the eighth number, we need to add 19 to the seventh number. Therefore, the eighth number in the series is 72 + 19 = 91.

Step 9: To get the ninth number, we need to add 21 to the eighth number. Therefore, the ninth number in the series is 91 + 21 = 112.

Step 10: To get the tenth number, we need to add 23 to the ninth number. Therefore, the tenth number in the series is 112 + 23 = 135.

Step 11: To get the eleventh number, we need to add 25 to the tenth number. Therefore, the eleventh number in the series is 135 + 25 = 160.

Step 12: To get the twelfth number, we need to add 27 to the eleventh number. Therefore, the twelfth number in the series is 160 + 27 = 187.

Step 13: To get the thirteenth number, we need to add 29 to the twelfth number. Therefore, the thirteenth number in the series is 187 + 29 = 216.

Hence, the missing number in the series is 63 (option C), which is obtained by adding 17 to the fourth number in the series.