Instructions

In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option.

a: If quantity I ≥ quantity II
b: If quantity I > quantity II
c: If quantity I < quantity II
d: If quantity I = quantity II or the relationship cannot be established from the information that is given
e: If quantity quantity II

Question 20

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.

Solution

The three digits of the number are distinct

I : Each digit is multiple of 3

=> Number = $$369 , 396 , 963...$$

Thus, I alone is not sufficient.


II : Digit in the unit’s place is 50% less than that in the hundred’s place

=> Number = 201, 211, 221, 402..

Thus, II alone is not sufficient.


I & II : Digit at unit's place is half of digit at hundred's place and all digits are multiple of 3

=> The only possibility = 693

Thus, I & II together are sufficient.


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