A five digit number XY235 is divisible by 3 where X and Y are digits satisfying X Y 5 What...........

Quantitative Aptitude (CDS) Number System

A five-digit number XY235 is divisible by 3 where X and Y are digits satisfying X + Y $\leqslant$ 5. What is the number of possible pairs of values of (X, Y)?

छोटे Courses बड़े Results

Master Number System

Prepare through Micro-courses

Try Now

Explanation:

As x4235 is divisible by 3,
x + 4 + 2 + 3 + 5 is divisible by 3
x + 4 + 10 is divisible by 3
Also, x + 4 <= 5,
hence (x+4) can be 2 or 5 (as both 12 &
15 are divisible by 3)
For x + 4 = 2, solution (1,1), (2,0)
For x + y = 5, solution (5,0), (4,1), (3, 2),
(2, 3), (1,4)
Hence, there are 7 possible pairs.