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If (L)M represents a number L in the base-M number system, then identify the correct ascending order of the following numbers when converted to the decimal system. Choose the correct answer from the options given below.

1.4
2.2
3.5
4.3
A4, 2, 3, 1 ✓ Correct
B2, 4, 3, 1
C1, 2, 3, 4
D4, 2, 1, 3
Correct answer: (A) 4, 2, 3, 1
Explanation

Converting each to decimal, (1012) in base three equals 32, the smallest value, which is number 4.

Next, (100001) in base two equals 33, which is number 2.

Then (114) in base five equals 34, which is number 3.

Largest is (203) in base four, which equals 35, number 1.

This gives the ascending order 4, 2, 3, 1.

Each digit is multiplied by its base raised to the position power, then summed.

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