NIMCET 2018 — Computer PYQ
NIMCET | Computer | 2018
Choose the correct answer:
- A.
4
- B.
5
(Correct Answer) - C.
6
- D.
7
5
Explanation
The correct answer is 5.
(43)x = (y3)8
Since a number with base k can only have digits from 0 to (k-1), we can conclude
x > 5
y < 7
Now, the original equation, when converted to decimal base gives:
4x^1 + 3x^0 =y(8^1) + 3(8^0)
4x + 3 = 8y +3
X= 2y
So, we have the following constraints :
x>=5y<=7x=2y
where x,y are integers
The set of values of (x,y) that satisfy these constraints are:
x=6,y=3
x=8,y=4
x=10,y=5
x=12,y=6
x=14,y=7
So total solutions are 5.
Explanation
The correct answer is 5.
(43)x = (y3)8
Since a number with base k can only have digits from 0 to (k-1), we can conclude
x > 5
y < 7
Now, the original equation, when converted to decimal base gives:
4x^1 + 3x^0 =y(8^1) + 3(8^0)
4x + 3 = 8y +3
X= 2y
So, we have the following constraints :
x>=5y<=7x=2y
where x,y are integers
The set of values of (x,y) that satisfy these constraints are:
x=6,y=3
x=8,y=4
x=10,y=5
x=12,y=6
x=14,y=7
So total solutions are 5.