Consider the sequence given below:
4/12/95, 1/1/96, 29/1/96, 26/2/96, ...
What is the next term of the series ?
Correct Answer :
25/3/96
Solution :
The correct option is 25/3/96.
To find the next term in the sequence, we need to analyze the intervals (in days) between consecutive dates in the series: 4/12/95, 1/1/96, 29/1/96, 26/2/96, ...
Let us calculate the difference in days for each step:
Step 1: Difference between 4/12/95 and 1/1/96
December has 31 days. The remaining days in December are:
Adding the 1 day in January gives:
So, the difference is 28 days.
Step 2: Difference between 1/1/96 and 29/1/96
Since both dates are in January, the difference is directly calculated as:
So, the difference is 28 days.
Step 3: Difference between 29/1/96 and 26/2/96
January has 31 days. The remaining days in January are:
Adding the 26 days in February gives:
So, the difference is 28 days.
Step 4: Finding the next term
Since the interval is consistently 28 days, the next date must be 28 days after 26/2/96.
First, we check if 1996 is a leap year. Since the year number 96 is divisible by 4, 1996 is a leap year. This means February has 29 days.
The remaining days in February 1996 are:
To reach a total difference of 28 days, we need to add the following number of days in March:
Therefore, the next date in the sequence is March 25, 1996, which is written as 25/3/96.
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