8 वी - महाराष्ट्र बोर्ड - गणित टेस्ट - चॅप्टर 1 - Rational and Irrational numbers
8 वी - महाराष्ट्र बोर्ड - गणित टेस्ट - चॅप्टर 1 - Rational and Irrational numbers
Question 1:
Which of the following describes the standard form of a rational number $m/n$?
A) m and n are integers, and n can be any number
B) m and n are integers, and n not equal to zero
C) m and n must both be positive natural numbers
D) m and n must be prime numbers
Question 2: How many rational numbers exist between any two distinct rational numbers?
A) Only one
B) Exactly ten
C) An infinite number
D) None
Question 3: The decimal form of any rational number is always either terminating or _______.
A) Non-terminating and non-recurring
B) Non-terminating and recurring
C) An integer value
D) An imaginary value
Question 4: Which type of decimal expansion uniquely belongs to an irrational number?
A) Terminating decimal
B) Non-terminating and recurring decimal
C) Non-terminating and non-recurring decimal
D) Perfect square decimal
Question 5: The combination of all rational numbers and all irrational numbers together forms the set of _______.
A) Integers
B) Whole numbers
C) Real numbers
D) Natural numbers
Question 6: Find the decimal form of the rational number $7/4$.
A) 1.4
B) 1.75
C) 0.74
D) 1.35
Question 7: What is the decimal representation of the rational fraction $2/3$?
A) 0.6
B) 0.66
C) 0.666...
D) 1.5
Question 8: Compare the two negative rational numbers: -3/5 and -1/5. Which statement is correct?
A) -3/5 > -1/5
B) -3/5 < -1/5
C) -3/5 = -1/5
D) They cannot be compared without decimals
Question 9: Compare the fractions 5/4 and 11/8 by choosing the correct symbol.
A) 5/4 > 11/8
B) 5/4 < 11/8
C) 5/4 = 11/8
D) 5/4 < or = to 11/8 but they are equal
Question 10: Which of the following relations is true when comparing -7/3 and -5/2?
A) -7/3 < -5/2
B) -7/3 > -5/2
C) -7/3 = -5/2
D) -7/3< or = to -5/2
Question 11: If a unit distance on a number line is divided into 4 equal parts, which fraction is represented by the 3rd mark to the right of 0?
A) 4/3
B) 3/4
C) 3
D) -3/4
Question 12: Find the decimal form of the rational number $9/11$.
A) 0.81
B) 0.8181...
C) 0.9191...
D) 0.8...
Question 13: What is the decimal form of the rational fraction $13/5$?
A) 2.3
B) 2.6
C) 2.5
D) 0.26
Question 14:
Identify the irrational number from the following options.
A) Square root 4
B) Square root 9
C) Square root 3
D) 2/5
Question 15:
In a right-angled triangle, if the base is 1 unit and the height is 1 unit, what is the length of the hypotenuse according to Pythagoras' theorem?
A) 1 unit
B) 2 units
C) Square root 2 units
D) Square root 3 units
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