Number System- Case Based Type Questions

# Number System- Case Based Type Questions - Notes | Study Mathematics (Maths) Class 9 - Class 9

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Question 1:
Democracy has given people a powerful right- that is to VOTE. In India, every citizen over 18 years of age has the right to vote. Instead of enjoying it as a holiday, one must vote if he/she truly wants to contribute to the nation-building process and bring about a change.

A survey was done in a small area in which voters were men andvoters were women.
Q. Which mathematical concept is used here?
(a) Number system
(b) Circle
(c) Area
(d) Statistics

Number system: A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The number the numeral represents is called its value.

Question 2:
Democracy has given people a powerful right- that is to VOTE. In India, every citizen over 18 years of age has the right to vote. Instead of enjoying it as a holiday, one must vote if he/she truly wants to contribute to the nation-building process and bring about a change.

A survey was done in a small area in which voters were men andvoters were women.
Q.
(a)
(b)
(c)
(d)

Question 3:
Democracy has given people a powerful right- that is to VOTE. In India, every citizen over 18 years of age has the right to vote. Instead of enjoying it as a holiday, one must vote if he/she truly wants to contribute to the nation-building process and bring about a change.

A survey was done in a small area in which voters were men andvoters were women.
Q. Find x, if number of men is equal to number of women.
(a) 6
(b) 5
(c) 8
(d) 9

⇒ 9 + 2x – 5 =
⇒ 4 + 2x =
Squaring both sides,
(4 + 2x)2 =
⇒ 16 + 4x2 + 16x = 18x + 4x2

⇒ 16 = 2x

⇒ x = 8

Question 4:
Democracy has given people a powerful right- that is to VOTE. In India, every citizen over 18 years of age has the right to vote. Instead of enjoying it as a holiday, one must vote if he/she truly wants to contribute to the nation-building process and bring about a change.

A survey was done in a small area in which voters were men andvoters were women.
Q. ap . aq =
(a) ap + q
(b) ap – q
(c) apq
(d) (pq)a

ap + q
ap . aq = ap + q

Question 5:
Democracy has given people a powerful right- that is to VOTE. In India, every citizen over 18 years of age has the right to vote. Instead of enjoying it as a holiday, one must vote if he/she truly wants to contribute to the nation-building process and bring about a change.

A survey was done in a small area in which voters were men andvoters were women.
Q. If r is rational and s is irrational, then which statement is false?
(a) r + s is irrational number.
(b) r – s is rational number.
(c) rs is irrational number.
(d) r/s is irrational number.

r – s is rational number.

Question 6:
In a school 5 out of every 7 children participated in ‘Save wild life’ campaign organised by the school authorities.
Q. What is the value of 5/7 ?
(a)
(b) 1.4
(c) 1.414
(d) 1.7142

5 ÷ 7 =

Question 7:
In a school 5 out of every 7 children participated in ‘Save wild life’ campaign organised by the school authorities.
Q. How many rational numbers are there between 5 and 7.

(a) 0
(b) 1
(c) 2
(d) infinite

There are an infinite amount of irrational numbers between 5 and 7.

Question 8:
In a school 5 out of every 7 children participated in ‘Save wild life’ campaign organised by the school authorities.
Q. What fraction of the students participated in the campaign.
(a) 2/7
(b) 5/7
(c) 4/7
(d) 7/7

5/7 are the fraction of the students participated in the campaign.

Question 9:
In a school 5 out of every 7 children participated in ‘Save wild life’ campaign organised by the school authorities.
Q. What kind of decimal expansion it has.
(a) Terminating
(b) non terminating
(c) terminating repeating
(d) non terminating repeating

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers. Non-terminating, non-repeating decimals can be easily created by using a pattern.

Question 10:
In a school 5 out of every 7 children participated in ‘Save wild life’ campaign organised by the school authorities.
Q. Every rational number is a _______ number.
(a)
Prime
(b)
Composite
(c)
real
(d)
even

Every rational number is a real number.
It can be defined as any number that can be expressed in the p/q form where q ≠ 0. We can also say that any fraction falls under the class of rational numbers, where the denominator and numerator are integers and the denominator is not equal to zero.

The document Number System- Case Based Type Questions - Notes | Study Mathematics (Maths) Class 9 - Class 9 is a part of the Class 9 Course Mathematics (Maths) Class 9.
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