REAL NUMBERS

REAL NUMBERS

WHAT ARE REAL NUMBERS ?

Real number, in mathematics, a quantity that can be expressed as an infinite decimal expansion. ... The real numbers include the positive and negative integers and fractions (or rational numbers) and also the irrational numbers.

Multiple Choice

Which statement is NOT true?

• 0.121212… is a rational number.

• 0.34353637 is an irrational number.

• 8.14 is a rational number.

• 5.12345… is an irrational number.

Multiple Choice

Which of the following statements is always true?

• All integers are whole numbers
• all rational numbers are integers
• some whole numbers are not rational numbers
• all whole numbers are integers

Multiple Choice

Which statement is NOT true?

• Every rational number is a real number.

• Every counting number is a whole number.

• Every integer is a rational number.

• Every decimal number is an irrational number.

Multiple Choice

Classify the following number:

1.01011011101111....

• Rational

• Irrational

Multiple Choice

What is true about irrational numbers?

• They are terminating decimals.

• They are non-repeating decimals.

• They are fractions.

• They are natural numbers.

Multiple Choice

Write the HCF of smallest composite number and smallest prime number

• 1

• 2

• 3

• 4

Multiple Choice

What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length?

• 20

• 21

• 22

• 23

Multiple Choice

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?

• 12:20

• 12:11

• 12:12

• none of these

Multiple Choice

If a and b are two positive integers such that a = 14b. Find the HCF of a and b.

• a

• b

• 14b

• 14a

Multiple Choice

For positive integers a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy:

• 0 ≤ r < 3

• 1 < r < 3

• 0 < r < 3

• 0 < r ≤ 3

Multiple Choice

The number
0.211211121111211111..... is a _____

• terminating decimal
• non-terminating repeating decimal
• non-terminating and non-repeating decimal
• none of the above

Multiple Choice

The farmers have 490 kg ,588 kg and 882 kg of wheat respectively .find the maximum capacity of a bag so that the wheat can be packed exact number of bags

• 350kg

• 200kg

• 290kg

• 98kg

Multiple Choice

987÷10500 will have decimal expansion

• Terminating

• Non terminating and non repeating

• Non terminating but repeating

• None of the above

Multiple Choice

The decimal expansion of the rational number  $\frac{14587}{1250}$  will terminate after

•  one decimal place 

• two decimal place 

• three decimal place 

• four decimal place