Question
A six-digit number 4c68d2 is divisible by 12. Find the
sum of all possible values of 'c' for the largest possible value of 'd'.Solution
ATQ, A number is divisible by 12 when it is divisible by 3 and 4 both. A number is divisible by 4 when its last two digits are divisible by 4. Here 'd2' is divisible by 4 for 'd' = 0, 2, 4, 6, and 8. Largest possible value of 'd' = 8. A number is divisible by 3 when the sum of its digits is divisible by 3. Sum of digits of 4c6882 = 4 + c + 6 + 8 + 8 + 2 = 28 + c. So, possible values of 'c' = 2, 5, and 8. Therefore, the required sum = 2 + 5 + 8 = 15.
In which state ‘Boita Bandana’ festival is celebrated?
Which space startup has launched the first ever private astronaut mission to the International Space Station?
What is the intended purpose of the 5% run-off factor enforced by the Reserve Bank of India on digitally accessible retail deposits?
Who became the fastest player to reach 13,000 Test runs in cricket history?
When will the revised National Pension Scheme (NPS) be implemented in Maharashtra, aligned with the Union government's Unified Pension Scheme (UPS)?
Who was the main leader of the Quit India Movement of 1942?
Which of the following tennis-players is also known by the nickname “The Ice Man”?
___________ defeated Tamil Nadu to win maiden domestic title, Vijay Hazare Trophy 2021.
Recently, Akasa airline received its air operator certificate (AOC) from the Directorate General of Civil Aviation (DGCA), who is the owner of this airl...
The 12th Hockey India Senior Women’s National Championship title has been won by?