Advertisements
Advertisements
Question
Without performing actual computations, find the quotient when 94 − 49 is divided by
(i) 9
(ii) 5
Advertisements
Solution
\[(i)\text{We know that when } \overline{ab} - \overline{ba} \text{ is divided by 9, the quotient is a - b .} \]
\[\text{Therefore, when (94 - 49) is divided by 9, the quotient is (9 - 4 = 5) . }\]
\[(ii)\text{ We know that when } \overline{ ab }-\overline{ ba } \text{ is divided by (a - b), the quotient is 9 .} \]
\[\text{ Therefore, when (94 - 49) is divided by (9 - 4 = 5), the quotient is 9 .}\]
APPEARS IN
RELATED QUESTIONS
Find the quotient when the difference of 985 and 958 is divided by 9.
Which of the following statement is true?
If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
Are they equal?
Now you try and change these numbers into special numbers —
132
If 
then B = ______.
A four-digit number abcd is divisible by 11, if d + b = ______ or ______.
If B × B = AB, then either A = 2, B = 5 or A = ______, B = ______.
A three-digit number abc is divisible by 6 if c is an even number and a + b + c is a multiple of 3.
If AB × 4 = 192, then A + B = 7.
If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14.
