Gate Exam Numerical Ability Number System

What is the remainder when 75^3 is divided by 4?

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Gate Other Question

If A is 20% less efficient than B. If B alone can do the work in 40 days. In how many days can A and B together complete the same work ?

(a) 22 2/9
(b) 20 1/9
(c) 21 2/9
(d) 32 2/9
A certain number when successively divided by 5 and 7 leaves the remainders 3 and 4 respectively. What is the remainder, if the same number is divided by 35?
(a)21
(b)23
(c)24
(d)29