Mathematical games and puzzles are based on the basic concepts of algebra, arithmetic, ratio & proportion, time & distance, probability, etc. Here is a compilation of different mathematical puzzles with solutions, grouped according to the level of difficulty. This article contains a set of 10 algebra based and arithmetic puzzles with answers. In this set, you will come across difficult mathematical puzzles devised to hone your mental aptitude.

The number comprising the leftmost two digits is divisible by 2, that comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, . Each digit in the number is different i.e. no digits are repeated. The digit 0 does not occur in the number i.e. it is comprised only of the digits 5-9 in some order. How many such numbers are possible and find their value/values?.

I) is a multiple of 5, it is a number between 1 and 19

II) is not a multiple of 8, it is a number between 20 and 29

III) is not a multiple of 10, it is a number between 30 and 39

How many Eggs does Ram have in his bucket?

Clustor I : 1 Orange, 1 Apricot and 1 Banana

Clustor II : 1 Orange, 5 Apricot and 7 Bananas

Clustor III : 1 Orange, 7 Apricots and 10 Bananas

Clustor IV : 9 Oranges, 23 Apricots and 30 Bananas

Clustor II costs Rs 300 and Clustor III costs Rs 390.

Can you tell how much does Clustor I and Clustor IV cost?

Mathematical Puzzles: Practice Exercises