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Base System Questions and Answer

Base System Questions and Answer Set 1

Hi students, welcome to Amans Maths Blogs (AMB). On this post, you will get the Base System Question and Answer Set 1. It will help you to practice the questions on the topics of maths as base system based questions of number system.

Base System Questions and Answer: Ques No 1

Two numbers in the base system B are 2061 and 601. The sum of these 2 numbers in decimal system is 432. Find the value of 1010 in decimal system:

Options:

A. 110

B. 120

C. 130

D. 140

Answer: C

Base System Questions and Answer: Ques No 2

The number of zeroes in (2000!)34, where 34 is the base in which the number is written, is

Options:

A. 122

B. 123

C. 124

D. 125

Answer: B

Base System Questions and Answer: Ques No 3

The decimal numbers from 1 to 200 are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations?

Options:

A. 143

B. 200

C. 157

D. 122

Answer: A

Base System Questions and Answer: Ques No 4

In a number system other than decimal, the product of 44 and 11 is 3414. The number 3111 of this system, when converted to the decimal number system, it becomes

Options:

A. 1086

B. 406

C. 213

D. 691

Answer: B

Base System Questions and Answer: Ques No 5

The number (2324X1013)7 is converted to base 10 and then divided by 6. It leaves no remainder. What could be the value of X? 

Options:

A. 0

B. 1

C. 2

D. 3

Answer: C

Base System Questions and Answer: Ques No 6

In a number system, 4 x 6 = 30 and 5 x 6 = 36, then the value of 3 x 4 x 5 in the same number system is

Options:

A. 60

B. 66

C. 74

D. 76

Answer: C

Base System Questions and Answer: Ques No 7

A three digit non-zero number ‘ABC’ in base 5, when converted to base 7, becomes ‘CBA’. ¬†Which of the following is necessarily true?

Options:

A. A must be 2

B. B must be 0

C. C must be 2

D. None of these

Answer: B

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