Within the BrainBashers school, the science department has three disciplines. In total, 280 students study chemistry, 254 students study physics and 280 students study biology. 97 students study both chemistry and physics, 138 students study both physics and biology, 152 students study both chemistry and biology. 73 students study all three disciplines. Can you determine how many students there are in the science department? The answer is well below 814.
Answer: 500 students. The answer is most easily seen if three intersecting circles are drawn, and the numbers inside each section worked out.
An errand boy was collecting boxes of cakes for the Summer Fair. He collected boxes from various people in his local village and each box was labelled in Roman Numerals with the number of cakes in the box. By the time the errand boy had collected the last box, he was quite hungry, and really needed to eat at least one cake. Luckily the last box was marked with an underlined XI, meaning there were 11 cakes in it. He had the brain wave of turning the box around and underlining the number again to give the impression there were IX, that is 9 cakes. However, after eating the 2 cakes, he was still hungry. How can he change the number shown on the box again and eat more cakes?
[Ref: ZQRR] Idea by Alvin Kong.
Hint: What else can you do with IX?
Answer: He could add an S to the IX to give the impression there were supposed to be 6 cakes in the box, so eating 5 cakes in total.
This is an unusual paragraph. I'm curious how quickly you can find out what is so unusual about it. It looks so plain you would think nothing is wrong with it. In fact, nothing is wrong with it! It is unusual though. Study it, and think about it, but you still may not find anything odd. But if you work at it a bit, you might find out. Try to do so without any coaching!
Answer: The letter 'e', which is the most common letter in the English language, does not appear once in the paragraph.
How many times does the word JULY appear in this grid?
Y J U L Y U J U L Y U J U L Y
L J U L Y Y Y Y J L Y L U J U
U J J J J L Y L L U Y Y Y Y Y
J U U U U U L U U J L L L L L
Y L U J L J U J J J J Y U U U
Y Y U J Y Y J U J Y U Y J J J
J L J U L Y L U J U L Y J U U
Y U U L U Y L U J U Y U L L L
J J L Y J Y J Y J U L Y J Y Y
U U J Y J U L Y L Y U L L L J
L L J U L Y L U L U J U U U J
Y Y Y Y L Y J Y J U J J L U J
J U L Y L Y L U J U J Y L U J
J U U U J U L Y L U J Y L U J
J U J U J Y J U L Y L Y L U J
Hint: The answer lies somewhere between 50 and 80.
Using the BrainTracker grid below, how many words can you find? Each word must contain the central G and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 53 words. Good: 42 words. Average: 33 words.