Brain Busters VI Quiz

This type of quiz seems to be the flavour of the month – judging by the speed at which they get solved, so once again………..
Pencils at the ready !

1 Six years ago, John’s brother was the same age as John’s present age. The brother is now three times John’s age. How old is John ?

2 2,401 is a perfect fourth power. What is its square root ?

3 What is one-third the cube of two, times one-half the cube of three ?

4 Two trains start at the same, one from London to Liverpool, the other from Liverpool to London. If they arrive at their destinations one hour and four hours respectively after passing one another, how much faster is one train running than the other ?

5 DXC + DX. If you add those two numbers together what, in Roman numerals, is the answer ?

6 A man put an empty barrel on the scales and found it weighed 20 lbs. He filled it with something and put it on the scales again, when it weighed only 19 lbs. What did he fill it with ?

7 If you bought a £25 radio by 52 weekly payments of 50p, what percent have you paid for the credit arrangement ?

8 Ten green bottles are standing on a wall, each one ten inches apart: If the two end bottles do accidentally fall, what is the distance between the remaining two end bottles ?

9 Bill usually arrives home at 6.43, but on Monday, due to an accident on the M25, he arrived 3 hours twenty-six minutes late. What time did he get home ?

10 How many drams are there in a pound if there are 8 drams in a fluid ounce, 20 fluid ounces in a pint and 1 gallon weighs 10 lbs ?

11 On a golf-course with 9 holes and a par of 3; 5 holes with a par of 4; and 4 with a par of 5, what is the total par.?

12 What is half of two-thirds of three-quarters of four-fifths of ten ?

13 (One for Sir KT ;D ) A team of postmen normally work a five-day week and an eight-hour day. In a week when there is a bank holiday on the Monday, they work three hours on the following Saturday. In addition to this, how much overtime do they have to work every week-day evening to catch up with the arrears ?

14 What is the missing number in this sequence : 5,6,10,19,35, --?

15 How many feet are there in a fathom ?

Some of these are awkward to get, so points awarded will vary between 1,2 and 3 depending on difficulty. Good luck !

[H&J]

8. 70 inches
9. 10:09

bean said:

8. 70 inches
9. 10:09

Both correct. 8 was medium difficulty and 9 was easy, so 2+1 = 3pts.

Leader:
[glow=red,2,300]H&J 3pts[/glow]

[H&J]

6. he filled it with helium
7.52 x .50p = £26.00 therefore 4%

[Hem Cleveland]

3
2 x 2 x 2 = 8
8/3
3 x 3 x 3 = 27
27/2

216/6 = 36


5
1090 + 1010 = 2100
DDC


11
27 + 20 + 20 = 67


12
4/5 of 10 = 8
¾ of 8 = 6
2/3 of 6 = 4
½ of 4 = 2

bean said:

6. he filled it with helium
7.52 x .50p = £26.00 therefore 4%

Will take H&J first.
6. I don't think that filling it was a dense gas would increase the barrel's weight by as much as two bags of sugar, conversely I don't think that helium would decrease it by that much. It wouldn't be enough to lift a wooden object off the scales either.
Will give you 0.5pt for a good try, though.

7. Correct you were never never going to get that one wrong. ;) 2pts.

Leader:
[glow=red,2,300]H&J 5.5pts[/glow]

Okay, now Hem.

11 was ridiculously easy - correct for 1pt.
5. Ahem, D=500 Hem, not 1,000 which equals M.
3 & 12 rate as quite difficult, but you have given full workings as well as getting them both correct, so 3pts each.

Leaderboard:
1 Hem Brewster 7pts
2 H & J 5.5pts

[barbelman]

Hi Tommo

Q1 is 3
Q2 is 49
Q5 is MC
Q10 is 128
Q14 may be 64....
Q15 is 6 feet

Q6 Helium would not lift it off the ground but it would make it considerably lighter methinks 9in defence of H&J!)

cheers
Tony

Hi Tony,
First of all, number 6 needed a bit of lateral thinking.............the man filled it with HOLES ! The lesser amount of wood would make all the difference. However, in the spirit of this being a scientifically-based question, I will award you 1pt and H&J another 0.5 to make it the same.

Now for the rest of your answers:
Q1 is 3 Correct, 2pts
Q2 is 49 Correct, 1pt
Q5 is MC Correct, 1pt
Q10 is 128 Correct, 3pts (8x20x8 = 1280 drams:gall; 1gall (10lbs) =1280 drams, therefore 1 lb = 128 drams)
Q14 may be 64.... close but incorrect (0.5 bonus). You have to add, in sequence 1 squared, 2 squared, 3 squared ad infinitum. So 5 plus 1 squared = 6, 6 plus 2 squared = 10, 10 plus 3 squared = 19, 19 plus 4 squared = 35, 35 plus 5 squared =60. So the answer is 60.
Q15 is 6 feet Correct, 1pt

Revised leaderboard:
1 Barbelman 9.5pts
2 Hem Brewster 7pts
3 H & J 6pts

Just 4 and 13 to get (both are 3-pointers ;))

[H&J]

4. 45 mph faster
13. 1.25 hours each on tuesday, wednesday,thursday and friday

Good answer to number 13) and 3pts earned.
For number 4) your answer could fit, but only in the circumstance that one train was going at 45mph and the other at 90mph. The true answer is that one train travels twice as fast as the other.
For example, taking the distance between the cities as being 180 miles, a train travelling one way at 60mph would cover 120 miles in 2 hours, and would meet a train coming the other way having travelled 60 miles in 2 hours travelling at 30mph. Train one would take 1 more hour to arrive, and train two (which still had 120 miles to cover) would take another 4 hours which fits the question. But in that circumstance one train is only 30mph faster. Will award 2pts out of the possible 3. Still, you won the quiz, so well done.

Final tally:
1 H & J 11pts
2 Barbelman 9.5pts
3 Hem Brewster 7pts