TIFR PHD CS & SS 2018
December 7, 2024
GATE 1996
December 8, 2024
TIFR PHD CS & SS 2018
December 7, 2024
GATE 1996
December 8, 2024

GATE 2004

Question 19

If 73x (in base-x number system) is equal to 54y (in base-y number system), the possible values of x and y are

A
8, 16
B
10, 12
C
9, 13
D
8, 11
Question 19 Explanation: 
(73)x = (54)y
7x+3 = 5y+4
7x-5y = 1
Only option (D) satisfies above equation.
Correct Answer: D
Question 19 Explanation: 
(73)x = (54)y
7x+3 = 5y+4
7x-5y = 1
Only option (D) satisfies above equation.

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