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33 questions · timed · auto-graded

Question 72 Marks
Given set is empty set or not ??
$C =\{x: x \in N, x$ is even, $x$ is divisible by 3$\}$.
Answer
Given set is not empty set.
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Question 102 Marks
Let : $A =\{x: x$ is a letter in the word 'INCREASE' $\}$
$\qquad B =\{x: x$ is a vowel in the word 'INCREASE'$\}$
and $C =\{x: x$ is a consonant in the word 'INCREASE'$\}$
(i) Write A, B and C is Roster form.
(ii) Find $n(A), n(B)$ and $n( C )$.
Answer
(i) $A =\{ I , N , C , R , E , A , S \}, B =\{ I , E , A \}, C =\{ N , C , R , S \}$
(ii) $n(A) = 7, n(B) = 3, n( C ) = 4$.
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Question 112 Marks
Let B = {2, 4, 6, 8, 10, _________ , 74, 76, 78, 80}.
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 34 _________ B
Answer
$\in$
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Question 122 Marks
Let B = {2, 4, 6, 8, 10, _________ , 74, 76, 78, 80}.
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 47 _________ B
Answer
$\notin$
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Question 132 Marks
Let B = {2, 4, 6, 8, 10, _________ , 74, 76, 78, 80}.
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 53 _________ B
Answer
$\notin$
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Question 142 Marks
Let B = {2, 4, 6, 8, 10, _________ , 74, 76, 78, 80}.
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 60 _________ B
Answer
$\in$
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Question 152 Marks
Let B ={2, 4, 6, 8, 10, _________ , 74, 76, 78, 80).
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 15 _________ B
Answer
$\notin$
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Question 162 Marks
Let B ={2, 4, 6, 8, 10, _________, 74, 76, 78, 80}.
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 70 _________ B
Answer
$\in$
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Question 172 Marks
Let B = {2, 4, 6, 8, 10, _________ , 74, 76, 78, 80}.
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 31 _________ B
Answer
$\notin$
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Question 182 Marks
Let B = {2, 4, 6, 8, 10, _________ , 74, 76, 78, 80}.
Insert the appropriate symbol $\in$ or $\notin$ in the blank space : 26 _________ B
Answer
$\in$
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Question 192 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 31 _________ A
Answer
$\notin$
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Question 202 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 11 _________ A
Answer
$\in$
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Question 212 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 25 _________ A
Answer
$\notin$
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Question 222 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 17 _________ A
Answer
$\in$
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Question 232 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 15 _________ A
Answer
$\notin$
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Question 242 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 3 _________ A
Answer
$\notin$
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Question 252 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 9 _________ A
Answer
$\notin$
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Question 262 Marks
Let $A=\{5,7,11,13,17,19,23,29\}$.
Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces : 7 _________ A
Answer
$\in$
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Question 272 Marks
Describe the following set in set-builder form :
$G =\{0,1,4,9,16,25,36,49\}$
Answer
$G =\left\{x: x=n^2\right.$, where $n$ is a whole number, $\left.0 \leq n \leq 7\right\}$
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Question 282 Marks
Describethe following set in set-builder form :
$F =\{41,43,47,53,59,61,67,71,73\}$
Answer
$F =\{x: x$ is prime, $40 < x < 75\}$
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Question 292 Marks
Describe the following set in set-builder form :
$E =\{6,12,18,24,30,36,42,48\}$
Answer
$E =\{x: x$ is a multiple of $6, x < 50\}$
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Question 302 Marks
Describe the following set in set-builder form :
$D =\{15,24,33,42,51,60\}$
Answer
$D =\{x: x$ is a 2-digit number, the sum of whose digits is 6$\}$
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Question 312 Marks
Describe the following set in set-builder form :
$C =\{1,3,5,9,15,45\}$
Answer
$C =\{x: x$ is a natural number, $x$ is a factor of 45$\}$
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Question 322 Marks
Describe the following set in set-builder form :
$B =\{23,25,27,29,31,33,35\}$
Answer
$B =\{x: x$ is an odd natural number, $22 < x < 36\}$
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Question 332 Marks
Describe the following set in set-builder form :
$A =\{16,18,20,22,24,26,28\}$
Answer
$A =\{x: x$ is an even natural number, $15 < x < 29\}$
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[2 Mark Question Answer] - MATHS STD 6 Questions - Vidyadip