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Post by Kimmy on Apr 29, 2010 11:38:46 GMT
120 miles. On the first day I travelled 60 miles, leaving 60 miles. On day two I travelled 20 miles, leaving 40 miles On day three I travelled 30 miles, leaving 10 miles. Yesterday I travelled 5 miles, leaving 5 miles.  |
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Post by Kimmy on Apr 29, 2010 11:39:20 GMT
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Post by BC on Apr 30, 2010 21:04:20 GMT
I've been a bit busy for the last couple of days. I'll have a go at this tonight and post in the morning... will someone beat me to it?  |
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Post by Kimmy on Apr 30, 2010 21:05:54 GMT
14285: 714285 = 5 * 142857.  |
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Post by Kimmy on Apr 30, 2010 21:06:58 GMT
Puzzle 169 During a recent cricket match, the total number of runs scored by the first six batsmen was 103. The first batsman scored half the runs of the second batsman, who in turn scored 6 runs fewer than the third batsman. The third batsman in turn scored two thirds the runs of the fourth batsman. The fifth batsman managed to score the same number of runs as the difference between the first and fourth batsman's runs. Finally, the sixth batsman scored 14 fewer than the fifth batsman. Can you determine how many runs the sixth batsman managed to score?  |
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Post by Kevin THFC on Apr 30, 2010 21:59:18 GMT
Puzzle 169 Can you determine how many runs the sixth batsman managed to score? No I can't I think there are two possible answers 33 and 17 5,10,16,24,31 & 17 and 1,2,8,12,47 & 33 |
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Post by Kevin THFC on Apr 30, 2010 22:08:23 GMT
Must be missing something as I have found another 7,14,20,30,23,9 and 8,16,22,33,19,5 and 9,18,24,36,15,1 and 2,4,10,15,43,29 and 3,6,12,18,39,25 and 4,8,14,21,35,21 and 6,12,18,27,27,13 Argggh what have I cocked up  |
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Post by BC on May 1, 2010 10:56:08 GMT
Puzzle 169 During a recent cricket match, the total number of runs scored by the first six batsmen was 103. The first batsman scored half the runs of the second batsman, who in turn scored 6 runs fewer than the third batsman. The third batsman in turn scored two thirds the runs of the fourth batsman. The fifth batsman managed to score the same number of runs as the difference between the first and fourth batsman's runs. Finally, the sixth batsman scored 14 fewer than the fifth batsman. Can you determine how many runs the sixth batsman managed to score? A = B / 2 B = C - 6 C = (D / 3) x 2 D = E = D - A F = E - 14 Try 30 for D and the scores work out as: 7, 14, 20, 30, 23, 9 which adds up to 103 (Kev, I think your batsmen E and F scores are wrong on the others) BC |
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Post by Kimmy on May 1, 2010 18:55:20 GMT
9 runs: Respectively the scores were 7, 14, 20, 30, 23, 9. |
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Post by Kimmy on May 1, 2010 18:56:26 GMT
Puzzle 170 My bath has two taps and a plug hole. The cold tap on its own fills the bath in 18 minutes, the hot one in 15 minutes. The plug hole can drain the bath in 10 minutes with the taps off. How long will the bath take to fill if I leave both taps on with the plug left out?  |
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Post by Kevin THFC on May 1, 2010 19:03:10 GMT
(Kev, I think your batsmen E and F scores are wrong on the others) BC DOH  |
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Post by Kevin THFC on May 1, 2010 19:21:04 GMT
Well, in 90 minutes the hot tap will fill the bath 6 times and the cold tap 5 times making 11 in total the bath will drain 9 times in 90 minutes. So in 90 minutes the bath will be filled twice so it takes 45 minutes to fill the bath - I think!
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Post by Kimmy on May 2, 2010 20:26:35 GMT
45 minutes. In 24 hours, the cold tap could fill 80 baths, the hot tap could fill 96 baths and the plug could drain 144 baths. Therefore, in 24 hours, we have 80 + 96 - 144 baths full = 32 baths. Therefore each bath would take 45 minutes to fill. |
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Post by Kimmy on May 2, 2010 20:27:34 GMT
Puzzle 171 The local CD shop operates an unusual discount policy. The discount on the next purchase is worked out on the current purchase in the following way: for every whole pound spent you get 0.5% discount on the next purchase. For example, if you purchased £8.99 on the first purchase, you would then get a 4% discount on the next purchase and so on. You can make as many purchases as necessary. You need to buy 7 CDs, costing, £11.50, £12.00, £12.00, £12.50, £13.00, £13.00 and £14.50 - what is the cheapest method of buying them?  |
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Post by BC on May 4, 2010 23:34:27 GMT
I'll have a go at this one... I recon you buy the first 6 together, adding up to £74 and giving you a 37% discount on £14.50 = approx. £5.37 saving. (I tired it the other way, buying the last 6 first adding up to £77 and giving you a 38.5% discount on £11.50. But that only totalled an approx. £4.43 saving). BC |
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Post by Kimmy on May 5, 2010 8:25:29 GMT
Purchase 1: £11.50, £12.00, £12.00, £12.50 = £48.00 (which gives a 24% discount on the next purchase). Purchase 2: £13.00, £13.00, £14.50 = £40.50 minus 24% discount = £30.78. For a total cost of £78.78. |
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Post by Kimmy on May 5, 2010 8:27:40 GMT
 Puzzle 173 Last week I decided to cycle to my Grandmother's house. On the first day, I cycled half of the distance. On day 2, I cycled one half of the remaining distance. On day 3, I cycled three quarters of the remaining distance. On day 4, I cycled 10 miles. On day 5 I cycled two thirds of the remaining distance and on the final day I cycled the remaining 5 miles. How far is it to my Grandmothers house? |
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Post by liz on May 5, 2010 10:14:54 GMT
17. 400 miles
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Post by BC on May 5, 2010 13:08:09 GMT
Sorry Liz - you got it wrong... The question number that is !! ;D (173) I agree with the answer though.
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Post by Kimmy on May 6, 2010 7:48:01 GMT
336 miles. On the first day I travelled one quarter of the distance (84, leaving 252). On day two, I travelled one half of the remaining distance (126, leaving 126). On day three, I travelled three quarters of the remaining distance (94.5, leaving 31.5). Yesterday I travelled one third of the remaining distance (10.5). I now have 21 miles left to travel. |
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Post by Kimmy on May 6, 2010 7:52:29 GMT
Puzzle 172 At last month's pre-Olympic rehearsal, four top athletes competed in two qualifying 400 metre races. As the results were expected to be mislaid, various notes were taken to ensure the accuracy of the overall placings: No-one finished both races in the same position. John beat Mr Donald in both races. Steve Curtail came third in the second race and Dave came last in the first race. In the second race, Mr Arnold won and Mr Bowler came last. In the first race, Steve beat Kev, but Kev beat John. Can you determine who finished where in each of the races?  |
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Post by Kevin THFC on May 6, 2010 22:44:13 GMT
336 miles. On the first day I travelled one quarter of the distance (84, leaving 252). On day two, I travelled one half of the remaining distance (126, leaving 126). On day three, I travelled three quarters of the remaining distance (94.5, leaving 31.5). Yesterday I travelled one third of the remaining distance (10.5). I now have 21 miles left to travel. That is not the answer to the question posed. In your answer the first step says you travelled 1/4 of the distance whereas in the question it was 1/2 . Agree with BC and Liz that the answer is 400 Kevin |
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Post by BC on May 6, 2010 23:02:58 GMT
KP is a shifty sort Kev.  Well done to the Spuds by the way. It felt so wrong hoping they'd beat Citeh. I had to have a bath afterwards.  |
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Post by Kimmy on May 7, 2010 7:50:29 GMT
336 miles. On the first day I travelled one quarter of the distance (84, leaving 252). On day two, I travelled one half of the remaining distance (126, leaving 126). On day three, I travelled three quarters of the remaining distance (94.5, leaving 31.5). Yesterday I travelled one third of the remaining distance (10.5). I now have 21 miles left to travel. That is not the answer to the question posed. In your answer the first step says you travelled 1/4 of the distance whereas in the question it was 1/2 . Agree with BC and Liz that the answer is 400 Kevin Well spotted. I only copy and paste the questions so it would appear that they got it wrong. |
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Post by BC on May 7, 2010 9:29:25 GMT
172 Race 1 | Steve | Curtail | | Kevin | Bowler | | John | Arnold | | Dave | Donald |
Race 2 | John | Arnold | | Dave | Donald | | Steve | Curtail | | Kevin | Bowler |
BC  |
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Post by Kevin THFC on May 7, 2010 17:55:25 GMT
KP is a shifty sort Kev. I thought it might be a version of the Two Ronnies Mastermind sketch. And as if by magic....... Q: “And so to our first contender. Good evening and can I have your name, please?” A: “Ah…good evening.” Q: “Your chosen subject was answering questions before they were asked. This time you have chosen to answer the question before last, correct?” A: “Charlie Smithers.” Q: “And your time starts now. What is palaeontology?” A: “Yes, absolutely correct.” Q: “What is the name of the directory that lists members of the peerage?” A: “A study of old fossils.” Q: “Correct. Who are Len Murray and Sir Geoffrey Howe?” A: “Burke’s.” Q: “What is the difference between a donkey and an ass?” A: “One’s a trade union leader, the other’s a member of the Cabinet.” Q: “Correct. Complete the quotation … “To be or not to be…” ” A: “They’re both the same.” Q: Correct. What is Bernard Manning famous for?” A: “That is the question.” Q: “Correct. Who is the present Archbishop of Canterbury?” A: “He’s a fat man who tells blue jokes.” Q: “Correct. What do people lean on in church?” A: “The Right Reverend Robert Runcie.” Q: “Correct. What do tarantulas prey on?” A: “Hassocks.” Q: “Correct. What would you use a ripcord to pull open?” A: “Large flies.” Q: “Correct. What sort of person lived in Bedlam?” A: “A parachute.” Q: “Correct. What is a jockstrap?” A: “A nutcase.” Q: “For what purpose would a decorator use methylene chlorides?” A: “A form of athletic support.” Q: “Correct. What did Henri Toulouse-Lautrec do?” A: “Paint strippers.” Q: “Correct. Who is Dean Martin?” A: “Erm..he’s a kind of artist.” Q: “Yes…what kind of artist?” A: “Erm…pass.” Q: “That’s near enough. What make of vehicle is the standard London bus?” A: “A Singer.” Q: “Correct. In 1892, Brandon Thomas wrote what famous long-running English farce?” A: “British Leyland.” Q: “Correct. Complete the following quotation… (HOOTER SOUNDS TO SIGNAL THAT TIME HAS RUN OUT) I’ve started so I’ll finish. Complete the following quotation about Mrs Thatcher… “her heart may be in the right place but her…” A: “Charlie’s Aunt.” Cheers BC, I wonder what the odds are on Manager of the Year? IF Fulham win the Europa league Hodgson might pip Ancelotti which would be ironic should Chelski win the double. |
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Post by Kimmy on May 7, 2010 20:40:36 GMT
Athlete #1 #2 Steve Curtail 1 3 Kev Bowler 2 4 John Arnold 3 1 Dave Donald 4 2 |
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Post by Kimmy on May 7, 2010 20:43:22 GMT
Brings back memories. Puzzle 176 After a local Post Office burglary, five suspects were being interviewed. Below is a summary of their statements. Police know that each of them told the truth in one of the statements and lied in the other. From this information can you tell who committed the crime? Brian said: It wasn't Charles It was Alan Derek said: It was Charles It wasn't Alan Charles said: It was Brian It wasn't Eric Alan said: It was Eric It wasn't Brian Eric said: It was Derek It was Alan |
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Post by BC on May 8, 2010 3:48:16 GMT
I recon Derek is innocent.
It was Alan, Charles, Brian and Eric that did the crime.
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Post by Kevin THFC on May 8, 2010 21:05:34 GMT
If one statement is true then the guilty party must be either Derek or Alan.
It can't be Alan due to Brian and Dereks statements so it must be Derek
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