Number System T...

The value of x, if , is:

If a = 3 + , then what is the value of ?

If a = 5 +, then which of following options will give a rational number?

Which of the following options represents three rational numbers that lie betweenand?

Rationalise:

Which of the following is the second largest surd?

The product of which of the following numbers is an irrational number?

What is the value of ?

If x = , then + is equal to

Which of the following statements is incorrect?

What is the rationalising factor of (6 - )²?

What is the denominator of after rationalising it?

Which of the following numbers does not have a recurring decimal representation?

Find the value of p + 2q from the equation = p – q.

If , then the value of is

If the number y = 1.262626... can be expressed in the form y = , where a and b are positive integers having no common factors, then what is the value of ?

Which of the following represents the sum of three non-terminating, non-recurring decimals?

If x = , y = , then the value of x² + y² is equal to

Which of the following irrational numbers is represented by P in the given diagram, if O is the centre and ODS is an isosceles right angled triangle?

Which of the following equations is true?

What would be the answer if is subtracted from the total of the given calculation?

Which of the following statements is definitely true regarding rational numbers?

Match the following:

Column I	Column II
(a) If 5(7 – x) = , then the value of x is	(i) -1
(b) If , then the value of x is	(ii)
(c) If , then the value of x is	(iii)
(d) If , then the value of x is	(iv) 0

Read the statements carefully and choose the correct option.

Statement 1: In mathematics, a rational number is any number that can be expressed as the quotient or fraction '' of two integers, a numerator 'a' and a non-zero denominator 'b'.
Statement 2: Since 'b' may be less than 1, every integer will be a rational number.

Fill in the blanks.

1. The sum of a non-zero rational number and an irrational number is a/an ____P____ number.
2. If 0.abababab... = , then the value of a × b is ____Q_____.
3. A/An ____R____ cannot be written in the form , where p and q are the integers and q ≠ 0.
4. All whole numbers are ____S____ numbers.