Question

Question 30
The sum of two three digit numbers (A and B) gives another three digit number (C). The
interesting thing is that all the nine digits of the numbers are distinct. It is known that
the last digit of A is thrice the first digit of B. Also, the first digit of Bis twice the middle
digit of C. What is the value of the last digit of C?
7
9
5
7
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Answer 1

Answer:

may be 7

Explanation:

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Answer 2

Answer:

The last digit of C will be 9

Explanation:

• The last digit of A ( say x) should be a single digit multiple of 3 i.e. 3 or 6 or 9.
• The first digit of B (say y) should be multiple of 2 i.e. an Even number.
• As x is 3 times of y, then x also has to be an even number i.e. 6.
• So, x=6, y=6/3=2
• Middle digit of C (say z) is Half of y, hence, z=2/2=1
• As no digit can be repeated in A+B=C, in Ones it has to be x+3=6+3=9
• In Tens, the sum must have 1 in ones, so it has to be 4+7=11
• In Hundreds, it has to be 5+y+(1)=5+2+1=8
• So the numbers are A=546; B=273; C=819

Hence, the last digit of C is 9