Bissoy.com
Doctors Medicines MCQs Q&A

A number consists of two digits. If the digits interchange place and the new number is added to the original number, then the resulting number will be divisible by :

A number consists of two digits. If the digits interchange place and the new number is added to the original number, then the resulting number will be divisible by : Correct Answer 11

Let the ten's digit be x and unit's digit be y
Then, number = 10x + y
Number obtained by interchanging the digits = 10y + x
∴ (10x + y) + (10y + x)
= 11(x + y), which is divisible by 11

Related Questions

An Identity Card has the number ABCDEFG, not necessarily in that order, where each letter represents a distinct digit (1, 2, 4, 5, 7, 8, 9 only). The number is divisible by 9. After deleting the first digit from the right, the resulting number is divisible by 6. After deleting two digits from the right of original number, the resulting number is divisible by 5. After deleting three digits from the right of original number, the resulting number is divisible by 4. After deleting four digits from the right of original number, the resulting number is divisible by 3. After deleting five digits from the right of original number, the resulting number is divisible by 2. Which of the following is a possible value for the sum of the middle three digits of the number?
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by which of the following?
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
A number consists of two digits. If the number formed by interchange the digits is added to the original number, the resulting number (i.e., the sum) must be divisible by -
The difference between two digits of a two-digit number is 4, where the unit place number is great than the tenth-place number. If digits are interchanged and the resulting number is added with the original number get 66 as result. What is the original number?
A 2 digit number is reversed and added to the original number to form a new number. If the original number is multiplied by 2 and 18 is added to it, then it becomes equal to the newly formed number. The sum of digits of the original number is 16. What is the ratio of ten's digit to the unit's digit of the original number?
The sum of the digits of a two digit number is 6. If four times of 9 is subtracted from original number the digits of original number will interchange. What is the original number?
The following coding system shows the letter codes for numbers. Excluding the exceptions mentioned below, the digits in the question are to be transformed into letter codes as follows: Digit 0 1 2 3 4 5 6 7 8 9 Letter Code A B C D E F G H I J Exceptions: i. If a number begins with a nonzero even digit, that digit should be coded as N. ii. If a number begins with a nonzero odd digit, that digit should be coded as P. iii. If a number begins and also ends with non-zero even digits, those two digits at the extreme ends should be coded as Q. iv. If a number begins and also ends with nonzero odd digits, those two digits at the extreme ends should be coded as W. v. If a number's middle digit is a multiple of 2 that digit should be coded as Z. Barring these exceptions, the other digits should be codified as per the above-mentioned letter codes. Find the appropriate code for the following number-group 3214067
In a two-digit number, the digit at unit’s place is less than the digit at the tenths place by 2. If the digits at the unit place and the tenth place are interchanged, the difference between the newly formed number and the original number is three times the digit at the unit place in the original number. What is the original number?
A, B, and C are divisible by 2. C, D, and E are divisible by 9. B and D are divisible by 3 Conclusion - I 6C is divisible by 54 Conclusion - II B and D are divisible by 6 Conclusion - III 4B + 2E is divisible by 4 Which of the above conclusions logically follows/follow from the given statements?