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Logical Puzzles Questions and Answers

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25. Sheffield is 100 miles from Worcester. At 1 pm train A leaves Sheffield for Worcester and travels at a constant speed of 30mph.
One hour later train B leaves Worcester for Sheffield and travels at a constant speed 40mph.
Each train makes one stop only at a station ten miles form its starting-point and remains there for fifteen minutes.
Which train is nearer to Sheffield when they meet?
 Ans: They are both the same distance from Sheffield when they meet. Sol. They are both the same distance from Sheffield when they meet.

26. A driving school claims an average test pass rate of 76.8 percent. What is the least number of pupils required to achieve this result?
 Ans: 125. Sol. 96 passes out of 125 give an average of 76.8%.

27. Barbara visited her High School friend, Natasha after their 25th school reunion.
“What a nice pair of children you have, are they twins?“, Barbara asked.
“No my sister is older than I”, said Natasha’s son Philip.
“The square of my age plus the cube of her age is 7148”.
“The square of my age plus the cube of his age is 5274”, said Matilda.
How old were they?
 Ans:Matilda 19, Philip 17. Sol. Matilda 19Philip 17.