Question
If 248x73 is a six-digit number that is divisible by 3, then find the maximum value of 4x.
Solution
We know that a number is divisible by 3 only when the sum of its digits is also divisible by 3. So,
2 + 4 + 8 + x + 7 + 3 = (24 + x) should be divisible by 3 So, possible values of x = 0, 3, 6, 9 Maximum possible value of x = 9 So, required value
= 4 × 9
= 36
More No. System Questions
- Find the remainder when
- Find the third proportion of 28 and 14.
- Two numbers A and B are in the ratio 3:5. When 20 is added to each number, their ratio becomes 5:7. If 10 is subtracted from each original number, find the...
- A number when divided by 187 leaves a remainder of 28. What is the remainder when the same number is divided by 11?
- Find the unit digit of (11833 - 8).
- A waiter income consist of his salary and tips. During one week his tips were 4/5 of his salary. What portion of his income came from tips?
- What least number must be added to 6834 to get a number exactly divisible by 18?
- Two students appeared in an exam and one secured 18 marks more than the other. If marks of the student who got more marks is 58% of the sum of the marks of...
- When the digits of a two-digit number are interchanged, the new number becomes 11 more than 120% of the original number. If the sum of the digits is 8, fin...
- The sum of two numbers is 60 whereas the sum of their reciprocals is (20/9). Find the square of the product of the two numbers.
Relevant for Exams:
