# 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**