A six-digit number 763254 is divisible by 18. If we subtract five times of 41 from the number, then the new number which is formed will be divisible by:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 7.
Number = 763254
Divisor = 18
The divisibility rule of 7 states that for a number to be divisible by 7 - Difference between the twice the unit digit of a given number and the remaining part of the number should be divisible by 7 or equal to 0
New number = 763254 - 5 × 41 = 763254 - 205 = 763049
By the divisibility rule of 7 -
Number = 76304 - 2 × 9 = 76286
Again, Number = 7628 - 2 × 6 = 7616
Again, Number = 761 - 2 × 6 = 749
Again, Number = 74 - 2 × 9 = 56
56 is the 8th multiple of 7.