TCS Company Numerical Ability LCM and HCF

Multiplication of two number a,b is 100, and their LCM in 25 then what is HCF of a and b?

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TCS Other Question

eleven books,consisting of 5 engineering books , 4 maths books,2 physics books are arranged in a shelf at random .what is the probability that books of each kind are all together? An old man has Rs. (1! + 2! + 3! + ... + 50!), all of which he wants to divide equally (without fractions) among his n children. Then, n may be