Jessica did it!
One cut from the side will cut the cake into two equal height cylinders, the next two cuts can be made in such a way that they slice both cylinders into quarters of equal size.
Q1: If only one girl told the truth, it has to be Anne, leaving Jessica the culprit.
Q2: A horizontal cut as #1, then two vertical at 90 degree angles will do the trick; but let's hope there's no icing on the cake because if there was, half the recipients - the ones getting the bottom pieces - will be disadvantaged.
Jessica is the culprit, but it isn't Anne who is telling the truth.
Anne yelled, "No, it was Sandy!" How could you conclude Anne is telling the truth and at the same time say Jessica is the culprit?
The only one telling the truth is Nicole and Jessica is the culprit.
to get the name right.Nicole (not Anne) said, "Sandy's a liar."
No. 1
Anne and Jessica were working on the computer along with their friends Sandy and Nicole. Suddenly, I heard a crash and then lots of shouts. I rushed in to find out what was going on, finding the computer monitor on the ground, surrounded with broken glass!
Jessica saying, "It wasn't me!"
Sandy saying, "It was Nicole!"
Anne yelled, "No, it was Sandy!"
With a straight face Nicole said, "Sandy's a liar."
Only one of them was telling the truth, so who knocked over the monitor?
It occurs to me that No. 1. can serve as the basis for a further puzzle, if, instead of having only one girl telling the truth, posing the question of whodunnit when only one of the girls is lying.
In that case, Anne is right, Sandy is wrong, which makes Jess and Nicole also right.
Sandy dunnit.
This one requires a fair bit of thinking....
Draw a side view of this wooden object
This is the top and front view of a real three dimensional wooden object. Real implies it has thickness and is not, for instance, two flat plates of zero thickness at right angles. Any hidden sides are shown with dotted lines (and there are none shown on these two views implying all sides are visible). The inner square represents a square hole running through the object (it is not just a square drawn on the object). Its lines are solid because the edges of the square are visible and not hidden.
View attachment 64494
You are to draw a view of the object looking at it from the left hand side (with any hidden sides shown with dotted lines).
Correct, but the triangle is a dotted line as it is not visible from the left side. I also made a mistake in the question when I said the square hole runs through the object, which obviously implies from one side to the other. I shouldn't have defined what it was other than say it was not some lines drawn on the object. It doesn't actually run through but is just cut into the object. Also, it only looks square when viewed from either the top or front. When viewed perpendicular to the sloping face it is rectangular. Apologies if that put anyone off.
((10 × 9 × 8) - (7 × 6) - 5 - 4 + 3 )× (2 + 1)
((10 - 9 +(8 × 7 × 6) -5 + 4) × 3 × 2)/1
((10 × 9 × 8 × 7 × 6)/(5/(4 - 3)))/(2 + 1)
((10 - 9 +(8 × 7 × 6) -5 + 4) × 3 × 2)/1
Also × 1 in place of /1
(10 - 9) × (8 × 7 × 6) × (5 - 4) × 3 × 2 × 1
Also another 3 variations by substitution of / for × with the (5 -4) and 1.
The person who posed the problem in the paper gave this as the most elegant solution he had seen:
(10 x 9 x 8 x 7 x 6)/(5 + 4 + 3 + 2 + 1) = 2016
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