Given below are two statements. In the light of the above statements, choose the correct answer from the options given below.

Statement I:One-fourth of sixty percent of a number equals two-fifths of twenty percent of another number, and the ratio is 8 to 15.

Statement II:The student studies 9 hours on each of 5 weekdays and 3 hours on Saturday; the fraction of the whole week studied is 3/7.

ABoth Statement I and Statement II are true

BBoth Statement I and Statement II are false

CStatement I is true but Statement II is false ✓ Correct

DStatement I is false but Statement II is true

Correct answer: (C) Statement I is true but Statement II is false

Explanation

Statement 1 is true but Statement 2 is false.

(1/4)(0.6x) = (2/5)(0.2y) gives 0.15x = 0.08y.

so x : y = 8 : 15, matching Statement 1.

study hours = 5 x 9 + 3 = 48 in the week.

total week = 7 x 24 = 168, fraction = 48/168 = 2/7.

this is not 3/7, so Statement 2 fails.

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