MathDB
Angle Formed by Clock's Hands

Source:

February 8, 2009

Problem Statement

The times between 7 7 and 8 8 o'clock, correct to the nearest minute, when the hands of a clock will form an angle of 84 84 degrees are: <spanclass=latexbold>(A)</span> 7: 23 and 7: 53<spanclass=latexbold>(B)</span> 7: 20 and 7: 50<spanclass=latexbold>(C)</span> 7: 22 and 7: 53<spanclass=latexbold>(D)</span> 7: 23 and 7: 52<spanclass=latexbold>(E)</span> 7: 21 and 7: 49 <span class='latex-bold'>(A)</span>\ \text{7: 23 and 7: 53} \qquad <span class='latex-bold'>(B)</span>\ \text{7: 20 and 7: 50} \qquad <span class='latex-bold'>(C)</span>\ \text{7: 22 and 7: 53} \\ <span class='latex-bold'>(D)</span>\ \text{7: 23 and 7: 52} \qquad <span class='latex-bold'>(E)</span>\ \text{7: 21 and 7: 49}