which combination of the integer variables a,b and c makes the variable m get the value 4 in the following expression ?
m=(a>b)? ((a>c)?a:c):((b>c)?b:c)
Answers
a) a=3, b=4, c=2
It is a GATE bit that needs options to verify.
Given data:
Expression: m = ( a > b ) ? ( ( a > c ) ? a : c ) : ( ( b > c ) ? b : c)
a) a=3,b=4,c=2
b) a=6,b=5,c=3
c) a=6,b=3,c=5
d) a=5,b=4,c=5
To find:
On which combination, the evaluation of the given expression result in 4 as an output.
Solution:
Condition? a:b -> If the condition results true, x will be executed, else, y.
As the complete expression contain just the conditions and the respective variables, we can eliminate options b and c, as they don't have a value 4 in any of the variables.
So, Options a and d are left.
(a>b)? ((a>c)?a:c):((b>c)?b:c)
Option A: a=3,b=4,c=2
(3>4)? ((a>c)?a:c) : ((b>c)?b:c)
3>4 is a False condition. So, we will consider else part
(3>4)? ((a>c)?a:c) : ((b>c)?b:c)
→ ((b>c)?b:c) = (4>2)?b:c 4>2 is true, so b will be printed. b=4
The value of b is 4. So, the given expression results in 4 as output for the values a=3,b=4,c=2
Similarly,
Option D: a=5,b=4,c=5
(5>4)? ((a>c)?a:c) : ((b>c)?b:c) 5>4 is True. So, go to if.
((a>c)?a:c) = (5>5)
There is no 4 in a or c to result 4 as output here. So, eliminate it.
Therefore, a) a=3,b=4,c=2 is the answer.
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