Question : 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:
Option 1: 2
Option 2: 7
Option 3: 5
Option 4: 3
Correct Answer: 7
Solution :
Given: The number 763254 is divisible by 18.
5 times of 41 from the number is subtracted = 763254 – 5 × 41 = 763254 – 205 = 763049
Now, Using divisibility rules:
For 2, if its last digit is even.
For 3, if the sum of its digits is divisible by 3 = 7 + 6 + 3 + 0 + 4 + 9 = 29
For 5, if its last digit is 0 or 5.
For 7, multiply the last digit by 2, and subtract it from the rest of the number; if the result is divisible by 7 = 76304 – 2 × 9 = 76304 – 18 = 76286, which is divisible by 7.
So, the number is divisible by 7.
Hence, the correct answer is 7.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Answer Key | Eligibility | Application | Selection Process | Result | Cutoff | Admit Card
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
