### Quantitative Aptitude

## NUMBER SYSTEM MCQs

### Total Questions : 531

**Page 1 of 27 pages**

**A 9 digit number in which zero does not appear and no digits are repeated has the following properties: The number comprising the left most two digits is divisible by 2, that comprising the left most three digits is divisible by 3, and so on**

__Question 1.__- 183654729
- 381654729
- 983654721
- 981654723

**Answer: Option B**

- Both x + y and xy are necessarily rational
- Both x + y and xy are necessarily irrational
- xy is necessarily irrational, but x + y can be either rational or irrational
- x + y is necessarily irrational, but xy can be either rational or irrational

**Answer: Option D**

### How Many Types Of Number Systems Are There In Mathematics?

### What Are Number Systems With Examples?

Number System Chart:

Name | Base | Example |
---|---|---|

Decimal | 10 | (2795)10 |

Binary | 2 | 111000010 |

Octal | 8 | (1576)8 |

Hexadecimal | 16 | 3DB |

### What Are The Types Of Real Number System?

Real Number System:

- Natural numbers.
- Whole numbers.
- Integers.
- Fractions.
- Rational numbers.
- Irrational numbers.

### What Is Decimal In Number System?

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It also requires a dot (decimal point) to represent decimal fractions.

### What Is Decimal Number System And Example?

Decimal is a term that describes the base-10 number system, probably the most commonly used number system. The decimal number system consists of ten single- digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth.

### How Many Binary Number Systems Are There?

There are four different types of the number system, such as: Binary number system (base 2) Octal number system (base 8) Decimal number system(base 10)

Binary Subtraction.

Binary Numbers | Subtraction | |
---|---|---|

1 | 0 | 1 |

1 | 1 | 0 |

### What Is Base 4 Number System?

A quaternary /kwəˈtɜːrnəri/ numeral system is base-4. It uses the digits 0, 1, 2 and 3 to represent any real number. Conversion from binary is straightforward.

### What Is The 1 2 3 Number System Called?

The numerals used when writing numbers with digits or symbols can be divided into two types that might be called the arithmetic numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the geometric numerals (1, 10, 100, 1000, 10000 ), respectively.

### How Many Symbols Are Used In A Decimal Number System?

### How Many Symbols Are Used In Hexadecimal Number System?

### What Are The Bases Of Number System?

The most commonly and widely used bases are binary number system (Base-2), octal number system (Base-8), decimal number system (Base-10), and hexadecimal number system (base-16).

Number System | Base |
---|---|

Nonary | 9 |

Decimal | 10 |

Undecimal | 11 |

Duodecimal | 12 |

### What Is General Form Of Number System?

Numbers can be written in general form. Thus, a two digit number ab will be written as ab = 10a + b. The sum of a 2-digit number and the number obtained by interchanging its digits is always divisible by 11.

### How Are Base 8 And Base 16 Related?

Because 8 is a power of 2, base-8 digits can be read off in binary and 3 base-2 digits can be read off in octal. 25. Explain how base 8 and base 16 are related. 8 and 16 are both powers of two.

### How Do We Represent Octal Number System?

The octal numbers, in the number system, are usually represented by binary numbers when they are grouped in pairs of three. For example, an octal number 128 is expressed as 0010102 in the binary system, where 1 is equivalent to 001 and 2 is equivalent to 010.

### What Does 10/16 Represent In Decimal Number System?

### What Is The Hexadecimal Number System?

Hexadecimal is the name of the numbering system that is base 16. This system, therefore, has numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15. That means that two-digit decimal numbers 10, 11, 12, 13, 14, and 15 must be represented by a single numeral to exist in this numbering system.

### Where Do We Use Number System?

The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9.

Decimal Number System.

S.No. | Number System and Description |
---|---|

1 | Binary Number System Base 2. Digits used : 0, 1 |

2 | Octal Number System Base 8. Digits used : 0 to 7 |

### Why Is Binary Called A Base 2 System?

Binary is a base 2 number system. Base 2 means there are only two digits—1 and 0—which correspond to the on and off states your computer can understand. You're probably familiar with base 10—the decimal system.

### How Many Digits Are There In Octal Number System?

### What Is Hexadecimal Number System Used For?

The Hexadecimal, or Hex, numbering system is commonly used in computer and digital systems to reduce large strings of binary numbers into a sets of four digits for us to easily understand.

### What Is Octal Number System With Example?

A number system which has its base as 'eight' is called an Octal number system. It uses numbers from 0 to 7. Let us take an example, to understand the concept. As we said, any number with base 8 is an octal number like 248, 1098, 558, etc.

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