Question:
Amit has forgotten his 4-digit locker key. He remembers that all the digits are positive integers and are different from each other. Moreover, the fourth digit is the smallest and the maximum value of the first digit is 3. Also, he recalls that if he divides the second digit by the third digit, he gets the first digit. How many different combinations does Amit have to try for unlocking the locker?
Amit has forgotten his 4-digit locker key. He remembers that all the digits are positive integers and are different from each other. Moreover, the fourth digit is the smallest and the maximum value of the first digit is 3. Also, he recalls that if he divides the second digit by the third digit, he gets the first digit. How many different combinations does Amit have to try for unlocking the locker?
Updated On: Oct 11, 2024
- 2
- 1
- 4
- 5
- 3
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The Correct Option is
Solution and Explanation
Let a, b, c, and d be the first, second, third, and fourth digits, respectively.
Given that: a ≤ 3 and b/c = a
The possibilities are:
No other possible values for ‘a’.
Hence, option E is the correct answer.
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