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37 questions · timed · auto-graded

Question 11 Mark
Classify the following in to finite and infinite set:
$H =\{x: x$ is a diameter of a circle$\}$
Answer
H is infinite
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Question 21 Mark
Classify the following in to finite and infinite set:
$G =\{x: x$ is a point on an arc of a circle$\}$
Answer
G is infinite
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Question 31 Mark
Classify the folloewing in to finite and infinite set:
$F =\{x: x \in N, x$ is a factor of 1000$\}$
Answer
F is finite
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Question 41 Mark
Classify the following in to finite and infinite set:
$E =\{x: x \in N, x$ is a multiple of 3$\}$
Answer
E is infinite
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Question 101 Mark
Which of the following set are equal?
$G =\{x: x$ is a prime factor of 12$\}$ and
$H =\{x: x$ is prime, $x < 4\}$.
Answer
$G = H =\{2,3\}$
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Question 111 Mark
Which of the following set are equal?
$E =\{x: x \in N, x$ is odd, $x < 6\}$ and
$F =\{x: x \in N, x$ is a factor of $15, x < 15\}$.
Answer
$E = F =\{1,3,5\}$
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Question 121 Mark
Which of the following set are equal?
$C =\{x: x \in W, x < 8\}$ and
$D =\{x: x \in N, x < 9\}$.
Answer
The following sets are not equal.
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Question 131 Mark
Which of the following set are equal?
$A =\{x: x \in N, 1 < x < 3\}$ and
$B =\{x: x$ is prime, $x$ is even$\}$.
Answer
$A = B =\{2\}$
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Question 141 Mark
Write the following set n roster fom and write its cardinal number :
$G =\{x: x$ is a letter in the word 'ALLAHABAD'$\}$.
Answer
$G =\{ A , L , H , B , D \}, n( G )=5$
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Question 151 Mark
Write the following set n roster fom and write its cardinal number :
$F =\{x: x \in N, 5 < x < 6\}$
Answer
$F =\{ \}, n(F)=0$
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Question 161 Mark
Write the following set n roster fom and write its cardinal number :
$E =\{x: x$ is an odd prime number, $x < 18\}$
Answer
$E =\{3,5,7,11,13,17\}, n( E )=6$
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Question 171 Mark
Write the following set n roster fom and write its cardinal number :
$D =\{x: x \in N, x$ is a composite number, $10 < x < 18\}$
Answer
$D =\{12,14,15,16\}, n( D )=4$
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Question 181 Mark
Write the following set n roster fom and write its cardinal number :
$C =\{x: x \in N, x$ is a perfect square, $x < 30\}$
Answer
$C =\{1,4,9,16,25\}, n( C )=5$
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Question 191 Mark
Write the following set n roster fom and write its cardinal number :
$B =\{x: x \in N$ is a multiple of $4, x < 30\}$
Answer
$B =\{4,8,12,16,20,24,28\}, n(B)=7$
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Question 201 Mark
Write the following set n roster fom and write its cardinal number :
$A =\{x: x \in W, x < 6\}$
Answer
$A =\{0,1,2,3,4,5\}, n(A)=6$
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Question 211 Mark
Describe the following set in roster form :
$H =\{x: x$ is an odd natural number, $50 < x < 60\}$
Answer
$H =\{51,53,55,57,59\}$
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Question 231 Mark
Describe the following set in roster form :
$F =\{x: x$ is a natural number, $x$ is neither prime nor composite$\}$
Answer
$F =\{1\}$
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Question 241 Mark
Describe the following set in roster form :
$E =\{x: x$ is a natural number, $x$ is a multiple of 7, $x < 60\}$
Answer
$E =\{7,14,21,28,35,42,49,56\}$
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Question 251 Mark
Describe the following set in roster form :
$D =\{x: x$ is a 2-digit number, the sum of whose digits is 8$\}$
Answer
$D =\{17,26,35,44,53,62,71,80\}$
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Question 261 Mark
Describe the following set in roster form :
$C =\{x: x$ is a prime factor of 330$\}$
Answer
$C =\{2,3,5,11\}$
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Question 271 Mark
Describe the following set in roster form :
$B =\{x: x$ is a factor of 18$\}$
Answer
$B =\{1,2,3,6,9,18\}$
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Question 281 Mark
Describe the following set in roster form :
$A =\{x: x$ is a natural number, $5 < x < 14\}$
Answer
$A =\{6,7,8,9,10,11,12,13\}$
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Question 291 Mark
Given collections are set or not? If it is not set, give reason.
All 3-digit natural numbers
Answer
Given collestions are set.
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Question 301 Mark
Given collections are set or not? If it is not set, give reason.
All difficult problems in your book on Mathematics
Answer
The term 'difficult' is not well defined. So, it is not a set.
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Question 311 Mark
Given collections are set or not? If it is not set, give reason.
All planets in our solar system
Answer
Given collestions are set.
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Question 321 Mark
Given collections are set or not? If it is not set, give reason.
All fat boys of your locality
Answer
The term 'fat' is not well-defined. So, it is not a set.
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Question 331 Mark
Given collections are set or not? If it is not set, give reason.
All books in your school library
Answer
Given collestions are set.
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Question 341 Mark
Given collections are set or not? If it is not set, give reason.
All healthy people of your town
Answer
The term 'healthy' is not well-defined. So, it is not a set.
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Question 351 Mark
Given collections are set or not? If it is not set, give reason.
All leaders of India
Answer
The term 'leader' is not well-defined. So, it is not a set.
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Question 361 Mark
Given collections are set or not? If it is not set, give reason.
All male teachers of your school
Answer
Given collestions are set.
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Question 371 Mark
Given collections are set or not? If it is not set, give reason.
All persons on earth
Answer
Given collestions are set.
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[1 Mark Question Answer] - MATHS STD 6 Questions - Vidyadip