Question : The product of the digits of a 2-digit number is 12. If we add 36 to the number, the new number obtained is a number formed by the interchange of the digits. What is the number?
Option 1: 62
Option 2: 34
Option 3: 26
Option 4: 43
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Correct Answer: 26
Solution : Let the unit digit of the number be $y$ and the ten digit be $x$. Number $= 10x + y$ Product of digits $= x × y = 12$ ---(i) According to the question, $10x + y + 36=10y + x$ $9y – 9x = 36$ $y – x = \frac{36}{9} = 4$ ---(ii) Solving equations (i) and (ii), $x = 2, y = 6$ ∴ Number $=$ 26 Hence, the correct answer is 26.
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Question : The tens digit of a two-digit number is larger than the unit digit by 7. If we subtract 63 from the number, the new number obtained is a number formed by the interchange of the digits. Find the number.
Question : In a two-digit number, its unit digit exceeds its tens digit by 2 and the product of the given number and the sum of its digits is equal to 460. The number is:
Question : By interchanging the digits of a two-digit number, we get a number that is four times the original number minus 24. If the unit's digit of the original number exceeds its ten's digit by 7, then the original number is:
Question : A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:
Question : Any six-digit number that is formed by repeating a three-digit number, is always divisible by:
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