If the number7245*98 is divisible by 22, the digit at (*) is
Answers
Answer:
Step-by-step explanation:
The correct digit at * is 6 as
7254698 / 22 gives 329759...
whereas other numbers give a decimal ans
7254198 / 22 gives 329736.27
7254298/22 gives 329740.81
7254098 /22 gives 342268.09
We can use trial and error method to get the answer...
Also,
ANOTHER METHOD
Divisibility rule of 22-->Divisible by 11 and 2
It is already divisible by 2
For a test of divisibility by 11 start from the right and add every second digit. Now subtract from that total the sum of the remaining digits. The resulting number is divisible by 11 if and only if the number you started with is divisible by 11.
- For example consider 678234.
- (4 + 2 + 7) - (3 + 8 + 6) = 13 - 17 = -4
- which is not divisible by 11 so 678234 is not divisible by 11. Now try 908193
- (3 + 1 + 0) - (9 + 8 + 9) = -22
- which is divisible by 11 so 908193 is divisible by 11.
Coming back to question:
Odd place number=2+4+9=15
Even place numbers=7+5+8=20
20-15=5
To make it divisible by 11, we add 6 to 5
Therefore, answer is 6