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How one should prepare for geometry.

What is the least number which, when divided by 52, leaves remainder 33, and when divided by 78 leaves remainder 59, and when divided by 117 leaves remainder 98?

The product of three consecutive integers is 210, then their sum is

There are four prime numbers written in ascending order. The product of first three is 385 and that of last three is 1001. The last number is

If Root(2) = 1.4142, then [Root(2) − 1 / Root(2) + 1] is equal to

a,b,c and d are natural numbers less than 1000 such that log (base a) b=7/5 and log (base c) d=4/3.Given that d-b=497,what is a+c?

how many values of 'p' satisfy the equation: (log base5 p)^2 +log base5p (5/p)=1 ?

how many values of 'p' satisfy the equation:

how many values of 'p' satisfy the equation:

Find the number of ways in which 5 boys and 5 girls be seated in a row so that no 2 girls may sit together