Maths Olympiad Exam Numerical Ability Number System

what is unit's digit of 13^55?

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Maths Olympiad Other Question

what is the remainder when
6^17+17^6 is divided by 7
The probability that A hits a target is 1/3 and the probability that B hits it is 2/5.What is the probability that the target will be hit , if each one of A and B shoots the Target?

Select one:
a. 1/6
b. 9/15
c. 5/6
d. 3/5