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in which of the system,decimal number 194 is equal to 1234?

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TCS Other Question

if the desimal equivalent of 5434 to base x is 1246,what is the value of x?
a) 8
b) 6
c)4
d) 2
15 students join a summer course. Every day 3 students are on duty after school to clean the class rooms. After the course, it was found that every pair of students has been on duty exactly once. How many days does the course last for?
a) 35 b) 45 c) 105 d)none of these