Others Maths Puzzle

TGₐ is a two digit number in base-a such that T > 0 and T, G < a. For which value of TG, can TGₐ be a perfect square in some base-a?

A. 32
B. 43
C. both of these
D. none of these

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Others Other Question

From a set of first 20 consecutive positive integers, 3 are picked randomly and their sum is found as S. How many different values of S are possible?

A. 18
B. 52
C. 57
D. 1140
Find the remainder when 484848 is divided by 728.

A. 0
B. 28
C. 48
D. none of these