If the 5- digit number 593ab is divisible by 3, 7 and 11, then what is the value of (a2 - b2 +ab)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 29.
We have given a five digit number = 593ab
LCM of 3, 7, 11 = 231
Let's assume the five digit number is 59399.
If 59399 ÷ 231 then we got 32 as a reminder.
So, the correct number that is divisible by 231 = 59399 - 32 = 59367
Where a = 6 and b = 7
Now the value of (a2 - b2 +ab) = (36 - 49 + 42) = 29