Advertisements
Advertisements
Question
Without performing actual addition and division write the quotient when the sum of 69 and 96 is divided by
(i) 11
(ii) 15
Advertisements
Solution
(i) Clearly, 69 and 96 are two numbers such that one can be obtained be reversing the digits of the other. Therefore, when the sum of 69 and 96 is divided by 11, we get 15 (sum of the digits) as quotient.
(ii) Clearly, 69 and 96 are two numbers such that one can be obtained be reversing the digits of the other. Therefore, when the sum of 69 and 96 is divided by 15 (sum of the digits), we obtain 11 as quotient.
RELATED QUESTIONS
If \[\overline{{3x2}}\] is a multiple of 11, where x is a digit, what is the value of x?
Which of the following statement is true?
If a number is divisible by 4, it must be divisible by 8.
Which of the following statement is true?
If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
If A3 + 8B = 150, then the value of A + B is ______.
If 6A × B = A 8 B, then the value of A – B is ______.
The sum of a two-digit number and the number obtained by reversing the digits is always divisible by ______.
The difference of three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ______.
If a 3-digit number abc is divisible by 11, then ______ is either 0 or multiple of 11.
If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4.
If 123123A4 is divisible by 11, find the value of A.
