Question
Quantitative Ability and Data Interpretation Question on Basics of Numbers
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?
A
2
B
1
C
4
D
5
E
3
Answer
3
Explanation
Solution
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.