What is the three digit number having each digit different from the other I Each of the digits of th...........

Quantitative Aptitude (RBI Grade B) Number System

Directions : Each of the following questions is followed by three statements I, II and III. Find out whether the data given in each statement is sufficient to answer the questions.

What is the three-digit number having each digit different from the other?

I. Each of the digits of the given number is a multiple of 3.

II. The digit in the unit’s place is 50% less than that in the hundred’s place.

This questions was previously asked in

RBI Grade B 2016

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Both I and II

The information in all three statements is not sufficient

Only II

Only I

Either I or II

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Explanation:

- Statement I: It says each digit is a multiple of 3. Possible digits: 0, 3, 6, 9.

- Statement II: The unit’s place digit is 50% less than the hundred’s place digit. If the hundred's place is X, then the unit’s place is 0.5X. Since we need digits as integers from multiples of 3, eligible pairs are (6, 3) and (9, 6).

Statement I and II Together:

- Combining these, we get possible digits for the three-digit number are 3, 6, 9, and permutations like 369 or 963.

- Since a digit can't repeat, both statements together narrow down the possibilities.

Option 1: Both I and II together are needed to find the exact number. They complement each other.

- Answer: Option 1 - Both I and II