self Maths Puzzle

A number when divided by 10, 13 and 16 gives remainders 2, 4 and 6 respectively. Find the least such number possible.

Read Solution (Total 1)

let the number be x.
X gives remainder 2,4 and 6.
3x/2 will give remainders 3, 6 and 9.
possible values of 3x/2 = 1033, 2073
possible value of x = 2073*2/3 = 1382
smallest possible value of x = 1382 - lcm = 1382-1040 = 342

Source of problem : C4 Training Company
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self Other Question

If m and n are integers divisible by 5, which of the following is not necessarily true?
option
a) (m - n) is divisible by 5.
b) (m^2 - n^2) is divisible by 25
c) (m + n) is divisible by 10
d) None of these Find a 2 digit number whose square is of the form "aabb".