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The value of x when (25)x=(85)10 is:

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Important Questions on Number System

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Which one is an invalid number?
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(35)n, (37)n, (45)n  and  (51)n all are written in the base n then the value of n, such that all these four numbers when written in the decimal system, they must be the consecutive prime numbers:
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A number of decimal system when represented in binary system then its first and last digits are same and the rest digits are also of another kind. Further this number appears to be palindrome of numerals. The number is:
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When a two-digit number is reversed, the new number is reduced by 63 and the sum of digits of these individual numbers is 9. Now, if these same numbers are converted into base 'x' the larger number becomes 5 times that of the smaller one the value of x is:
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If (25)n×(31)n=(1015)n, then the value of (13)n×(52)n is, when n>0:
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What is the decimal equivalent of the hexadecimal number (100.00123 zeros )16?
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Match list I (Binary) with list II (Octal) and select the correct answer using the codes given below the lists :

List I (Binary) List II (Octal)
I. 101110 (A) 135
II. 1101110 (B) 56
III. 1011101 (C) 176
IV. 1111110 (D) 156

Codes

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1-131-141-151-1n equal to: