1#
When does the following equation become true?
16 + 53 + 3 + 27 + 7 = 14
2#
Alf has decided to take up robbing banks for a living. He is unfortunately a little slow and has forgotten to bring the dynamite to blow open the safe!
Using logic and the following clues, figure out the 10 digit number to crack the safe.
*All digits from 0 to 9 are used exactly once.
*The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
*The 4th digit is a perfect square.
*The 3rd digit is 1.
*The sum of the 4th and 7th digits is a perfect square.
*The value of the 10th digit is twice that of the 2nd.
*The product of the 4th and 6th digits is equal to that of the 10th and 2nd digits.
*The 5 is is next to the 6 but not the 4.
3#
Complete the words below using three consecutive letters in alphabetical order, e.g. _ _ A _ U S; add A B and C it would become ABACUS.
1. C O _ _ E _,
2. _ _ _ O R M,
3. S O _ E _ _,
4. _ U _ G _ L,
5. S _ O _ _ Y,
6. _ O B U _ _.
