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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 $t(45)$?
8
7
5
6
The correct answer is option (4) : 6
$45=1×45$
$45=3×15$
$45=5×9$
So +ve divisons of 45 = $1, 3, 5, 9, 15, 45$
$∴t(45)=6$