Question 27

27 and 35 complete the sequence with a constant difference.

To maintain a constant difference between consecutive numbers in the sequence 19, __, __, 43, the missing numbers must be 27 and 35. This results in a uniform difference of 8 across the entire series.

A) 25, 31

Choosing 25 and 31 results in the sequence 19, 25, 31, 43. The differences between these numbers are 6 (19 to 25) and 6 (25 to 31), but the difference from 31 to 43 is 12. This inconsistency disqualifies this option as it does not maintain a constant difference.

B) 26, 36

If 26 and 36 are selected, the sequence becomes 19, 26, 36, 43. The differences here are 7 (19 to 26), 10 (26 to 36), and 7 (36 to 43). Since the differences are not consistent, this option is incorrect.

C) 27, 35

By inserting 27 and 35 into the sequence, we have 19, 27, 35, 43. The differences between these numbers are all equal: 8 (19 to 27), 8 (27 to 35), and 8 (35 to 43). Therefore, this option satisfies the requirement for a constant difference, making it the correct choice.

D) 28, 37

With 28 and 37, the sequence would be 19, 28, 37, 43. The differences are 9 (19 to 28), 9 (28 to 37), and 6 (37 to 43). This variation in differences means this option does not fulfill the criteria for a constant difference across the sequence.

Conclusion

The numbers 27 and 35 create a sequence where the difference between consecutive numbers remains constant at 8, confirming that option C is correct. In contrast, all other options fail to maintain a consistent difference, therefore they cannot complete the sequence as required.