Multiple choice

At what time between $7$ to $8$ $O$ clock the hands of the clock will be at right angle?

  1. $5\dfrac {5}{11}\ min$ and $38\dfrac {2}{11}\ min$ part $7$
  2. $55\ min$ and $20\ min$ past
  3. $55\ min$ and $10\ min$ past
  4. $\dfrac {600}{11}\ min$ and $\dfrac {900}{11}\ min$ part $7$`
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A Correct answer
AI explanation

Using the formula for right angles, the times are given by 5 minutes times the hour plus or minus 15 minutes. For the 7th hour, the first calculation is 35 plus 15, which equals 50 minutes, and the second calculation is 35 minus 15, which equals 20 minutes past. Converted to mixed fractions, these times are 5 and 5 over 11 minutes and 38 and 2 over 11 minutes past 7.