Question
A five-digit number 2A78B, is divisible by 55. What is
the difference between the maximum and minimum possible value of (A-B)?Solution
2A78B 2A78B is divisible by 55 Or 11×5. So, divisibility rule of 11 and 5 given number can only be completely divided by 11 if the difference of the sum of digits at odd position and sum of digits at even position in a number is 0 or 11. If the last number is either 0 or 5, the entire number is divisible by 5. Maximum possible value of A and B=6 and 5 Maximum possible value of A-B=6-5=1 Minimum value of A and B=1 and 0 Minimum value of (A-B) =1-0=1 Difference between the maximum and minimum possible value of (A-B) =1-1=0.
What type of energy is stored in an object due to its position?
Who among the following was not associated with Indian National Congress?
Which one of the following 18 correct about Assam in British India?
If the roots of the quadratic equation 7y² + 5y + 9 = 0 are α and β, then find the value of [(1/α) + (1/β)].
If there is a loss of 20% on selling the article at 16/21 of the original selling price then what will be the percentage profit after selling the articl...
Which of the following statements is correct:
Which one of the following statements best describes the role of B cells and T cells in the human body?
The probability of selecting a rotten apple randomly from a heap of 1200 apples is 0.22. What is the number of rotten apples in the heap?
What fraction of the positions in all panchayat institutions is reserved for women?
If θ is an acute angle, find the denominator A, when
(cosec θ − cot θ)² = (1− cos θ/A)