Question
Download Solution PDFIf a seven-digit number 42971K2 is divisible by 44, then the value of K is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven data:
The seven-digit number 42971K2, is divisible by 44.
Concept used:
For a number to be divisible by 44,
it should be divisible by 4 and 11 both.
Divisibility Rule of 4:
A number is divisible by 4 if the number formed by the last two digits of the given number is divisible by 4.
Divisibility Rule of 11:
A number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places, counted from right to left, is either 0 or divisible by 11.
Solution:
For divisibility by 4, the last two digits should form a number divisible by 4.
So, possible values for K = 1, 3, 7, and 9.
Using the divisibility rule of 11, 42971K2, the only possible value is 7.
So, K = 7.
Hence, the value of K is 7.
Last updated on Jun 30, 2025
-> The Staff Selection Commission has released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.
-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.
-> The SSC GD Merit List is expected to be released soon by the end of April 2025.
-> Previously SSC GD Vacancy was increased for Constable(GD) in CAPFs, SSF, Rifleman (GD) in Assam Rifles and Sepoy in NCB Examination, 2025.
-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies.
-> The SSC GD Constable written exam was held on 4th, 5th, 6th, 7th, 10th, 11th, 12th, 13th, 17th, 18th, 19th, 20th, 21st and 25th February 2025.
-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.
-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.