Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If two distinct numbers a and b are selected from the set {5 1 , 5 2 , 5 3 .......5 9 }, then the probability that log a b is an integer is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Total cases = 9 C 2
For favorable cases,
let a = 5 i , b = 5 j
log a b = 
(must be an integer)
if i = l 
j -2,3,4,5,6,7,8,9
if i = 2 
j=4,6,8
if i= 3 
j = 6,9
if i = 4 
j = 8
for i = 5,6, 7,8, 9 
no such value of j is possible
Hence, the required probability 
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