Question
Determine the highest possible value of (x + y) if the
number '3x725y4' is divisible by 12.Solution
ATQ,
A number is divisible by 12 if it’s divisible by both 3 and 4.
Check last two digits ‘y4’.
‘y4’ divisible by 4 → y = 0, 2, 4, 6, 8
Maximum y = 8
Now check sum of digits:
3 + x + 7 + 2 + 5 + 8 + 4 = 29 + x
29 + x must be divisible by 3 → x = 1, 4, 7
Maximum x = 7
So, max (x + y) = 7 + 8 = 15
Which Indian swimmer was honored with the Arjuna Award in 2015?
In what year did Mahmud of Ghazni invade the Somnath temple in Gujarat?
Which of the following statements is/are correct?
1. The International Day of Non-Violence is observed in commemoration of the birthday of Mahatm...
Why is water commonly used in car radiators?
Who is elected as the chairman of the Indian Farmers Fertiliser Cooperative (IFFCO)?
In which year was Milkha Singh awarded the Padma Shri for his outstanding achievements in athletics?
Software whose source code is available to users for modification and improvement is known as _______. Â
Who was awarded the 48th Vayalar Ramavarma Memorial Literary Award in 2024 for the novel 'Kattoorkadavu'?
For which genre of writing is the Booker Prize awarded?
The Government of India announced the winners of the second edition of National Startup Awards 2021. ______ startups were felicitated for their contribu...