A Question of Time Puzzle

Answer: Say answer is "8 hour X minute". According as proposition, the angle between the minute hand and "mark 4" of the watch is equal to the angle between the hour hand and "mark 8" of the watch.

We know in 60 minutes the minute hand makes 360 degrees (360/60=6 degrees per minute) and the hour hand makes 360/12=30 degrees (30/60=1/2 degrees per minute).

Therefore, (20-X) minutes corresponds to 6(20-X) degrees (this is the angle between the minute hand and "mark 4").
And in X minutes the hour hand makes X/2 degrees with "mark 8".

Thus, X/2=6(20-X) gives X=18 minutes 27 and 9/13 second.

So, the answer is 8 hour, 18 minutes, 27 9/13 second.

Outwitting the Weighing Machine Puzzle

Answer: Let e > d > c > b > a be the girls weights.
NB no two girls have the same weights, otherwise there would have been duplicate weighings.
e+d must be the heaviest and e+c the second heaviest weighing.
a+b must be the lightest and a+c the second lightest weighing.
It might be the a+d or b+c could be next, fortunately we don't need to know.
The sum of the weighings is 1212 and each girl is weighed four times
=> a+b+c+d+e = 1212/4 = 303
c = (a+b+c+d+e) - (a+b) - (d+e) = 303 - 114 - 129 = 60
a+c = 116 => a = 116 - 60 = 56
a+b = 114 => b = 114 - 56 = 58
c+e = 125 => e = 125 - 60 = 65
e+d = 129 => d = 129 - 65 = 64

So the girls weights are: 56, 58, 60, 64 and 65.

4)Betty, Carol and Dan work in Administration department.
Earl works in the Marketing department.

5)The Spanish ship goes to Port Said and the French ship carries tea. However, tea can be carried by the Brazilian ship, too.
If you understood position 'to the right' to mean anywhere on the right side from the given point (not only right next to).

French	5:00	tea	blue	Genoa
Greek	6:00	coffee	red	Hamburg
Brazilian	8:00	cocoa	black	Manila
English	9:00	rice	white	Marseille
Spanish	7:00	corn	green	Port Said

Appendix 1. Making a presentation: language and phrases

This is a list of phrases to help you make a professional presentation in English.

Good presenters always use language (sometimes single words, sometimes phrases) which shows where they are in their presentation. These ‘signposts’ make it easier for the audience to:

§ follow the structure of the presentation

§ understand the speaker more easily

§ get an idea of the length and content of the presentation.

The sentences and phrases below follow the logical progression of a well-balanced presentation.

Welcoming

§ Good morning and welcome to (name of company, name of conference hall, hotel, etc.).

§ Thank you all very much for coming today.

§ I hope you all had a pleasant journey here today.

<== попередня сторінка	\|	наступна сторінка ==>
B) Albert Einstein’s puzzles	\|	Introducing yourself

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