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CUET
-- Applied Mathematics - Section B2
Numbers, Quantification and Numerical Applications
If t(n) = Number of positive divisors of n, n ∈ N, then what is the value of $t(36)$?
10
8
9
7
The correct answer is option (2) : 9
$36=1×36$
$36=2×18$
$36=3×12$
$36=4×9$
So, +ve divisions of $36=1,2, 3, 4, 6, 9, 12, 18 ,36$
$∴t(28)= 9$