If one-fourth of one-third of one-half of a number is 15,

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Let the number be N .
Then, 1/4 of 1/3 of 1/2 of N = 15
⇒ 1/4 x 1/3 x 1/2 x N = 15
⇒ N/24 = 15
⇒ N = 24 x 15 = 360 .