Q1. Which of the following statement about real
numbers is false ?
Closed with respect
to operation of algebra
Closed with respect
to commutative law of addition
Distributive law of
multiplication with respect to addition
Associative law of
multiplication
Q2. 2.142678 is a/an ________.
Rational number
Irrational number
Whole number
Natural number
Q3. A number is irrational if and only if its
decimal representation is:
non- terminating
non- terminating
and repeating
non- terminating
and non-repeating
Terminating
Q4. To represent 9.3234 which of the following
method would be used.
By the process of
successive magnification
By using Pythagoras
theorem (Geometrical construction)
By constructing
equal arcs
By using square
identities
Q5. The ratio of the circumference of a circle to
the diameter of the circle is.
An irrational number
A rational number
An integer
A whole number
Q6. Convert 7/25 in the form of decimals,
0.27
0.28
6.26
0.35
Q7. Which of the following statement is true?
Every real number is
an irrational number.
Every real number is
a rational number.
The real number line
contains both rational as well as irrational numbers.
Half the numbers on
the number line are rational and the remaining half irrational
Q8. Insert one rational number between 2 and 3.
( 2-3)/2
(
2+3)/2
(2 x 3)/2.
2 x 2 + 3 x 3
Q9. A rational number which is equal to the
negative of itself is _______.
2
-1
1/2
0
Q10. Between 3 and 4 there are
500 rational numbers
1000 rational
numbers
10,000 rational
numbers
Infinitely many
rational numbers
Q11. Between 3 and 4 there are _____.
500 rational numbers
1000 rational
numbers
10,000 rational
numbers
Infinitely many
rational numbers
Q12. Express 0.73 in the form of a fraction
73/10
100/73
1/73
73/100
Q13. The decimal expansion
0.080080008000080000080000008..... is a
Non-terminating,
non-recurring
Non-terminating,
recurring
Terminating,
non-recurring
Terminating
,recurring
Q14. All the integers are
whole numbers
rational numbers
irrational numbers
natural numbers
Q15. The decimal expansion
0.080080008000080000080000008....... is a
non-terminating
,non-recurring
non-terminating
,recurring
terminating
,non-recurring
terminating
,recurring
Q16. Which of the following statement is true?
Every real number is
an irrational number.
Every real number is
a rational number.
The real number line
contains both rational as well as irrational numbers.
Half the numbers on
the number line are rational and the remaining half irrational
Q17. For a number to be a rational number, the
denominator must be
any
real number
Any whole number
Non
–zero integer
A positive integer
Q18. Which of the following is true about real
numbers?
All real numbers are
rational numbers
All real numbers are
irrational numbers
Rational and irrational numbers together constitute real numbers.
Some
rational numbers are real numbers
Q19. The product or quotient of a non-zero
rational number with an irrational number is:
Irrational number
Rational number
Whole number
Natural number
Q20. The ratio of the circumference of a circle
to the diameter of the circle is
an irrational number
a rational number
an integer
a whole number
Solution
let radius of circle be 'r'
diameter = 2r
circumference =
required ratio =
the required ratio is the number which is an irrational number.
required ratio =
the required ratio is the number which is an irrational number.- Get link
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