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Answers posted by thanvigandhi_1
Questions
3013
answers
0
best answers
0
votes
Write the following statement in set language. \[\] The intersection of a set A and its complement is the null set.
answered
Jun 24, 2014
A $ \cap $ A’ = $ \phi $
0
votes
In an exam 60% of the candidates passed in Maths and 70% candidates passed in English and 10% candidates failed in both subjects. If 300 candidates passed in both the subjects, find the total number of candidates who appeared in the exams, if they took the stest in only two subjects (Maths and English).
answered
Jun 24, 2014
750
0
votes
Match the following:
answered
Jun 24, 2014
. 1 $ \rightarrow $ b, 2 $ \rightarrow $ e, 3 $ \rightarrow $ g, 4 $ \rightarrow $ h, 5 $ \rightarro...
0
votes
In a group of 52 persons, 16 drink tea but not coffee and 33 drink tea. Find: \[\] (i) how many drink both tea and coffee.\[\] (ii) how many drink coffee, but not tea.
answered
Jun 24, 2014
Hint - Draw 2 interecting sets, one for tea and one for coffee. Tea only = 16 All tea...
0
votes
In a group of 760 persons 510 can speak Hindi, 360 can speak English then find \[\] i) how many can speak both Hindi and English\[\] ii) how many can speak Hindi only;\[\] iii) how many can speak English only. \[\]
answered
Jun 24, 2014
(i) 110 (ii) 400 (iii) 250 Let OH be "only hindi" speaking and OE be "on...
0
votes
In a population study of 1500 Indian rivers the following data were reported: 520 were polluted by sulphur compounds, 335 were polluted by phosphates, 425 were polluted by crude oil, 100 were polluted by both crude oil and sulphur compounds; 180 were polluted by both sulphur compounds and phosphates, 150 were polluted by both phosphates and crude oil and 28 were polluted by sulphur compounds, phosphates and crude oil.\[\] i) Find the number of rivers which were polluted by atleast one of the three impurities.\[\] ii) Find the number of rivers which were polluted by exactly one of the three impurities.
answered
Jun 24, 2014
(i) ) 878 (ii) 504
0
votes
In a group of 36 persons 20 like coffee, 27 like tea and 3 persons dislike both, Find the number of persons who like both tea and coffee.
answered
Jun 24, 2014
14Hence (A) is the correct answer.
0
votes
If (U) = 72, n(A) = 45 and n(B) = 54, find the greatest value of n(A $ \cap $ B).
answered
Jun 24, 2014
45Hence (C) is the correct answer.
0
votes
If n(U) = 80, n(A) = 36, n(B) = 64, then find least value of n(A $ \cap $ B)
answered
Jun 24, 2014
20Hence (D) is the correct answer.
0
votes
Out of 50 students taking examination in Mathematics, Physics and Chemistry, 37 passed in Mathematics, 24 in Physics and 43 in Chemistry. 19 passed in Mathematics and Physics, 29 in in Mathematics and Chemistry and 20 Physics and Chemistry. Find the maximum possible number that could have passed all three examinations.
answered
Jun 24, 2014
14Hence (C) is the correct answer.
0
votes
Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played basketball and hockey, 80 played basketball and cricket, 40 played cricket and hockey, 24 played all the three games. Find the number of boys who did not play any game.
answered
Jun 24, 2014
160Hence (A) is the correct answer.
0
votes
In a group of 75 people, 20 like coffee, 5 like tea and coffee. Answer the following: \[\] i) How many like tea, but not coffee?\[\] ii) How many like coffee, but not tea?
answered
Jun 24, 2014
(i) 55(ii) 15
0
votes
A survey of 500 television viewers produced the following information; 285 watch football, 195 watch hockey, 115 watch basketball, 45 watch football and basketball, 70 watch foot ball and hockey, 50 watch hockey and basket ball, 50 do not watch any of the three games. Find the number of viewers watch all the three games.
answered
Jun 24, 2014
20
0
votes
In a class of 60 students, 23 play hockey, 15 play basket ball and 20 play cricket. 7 play hockey and basket ball, 5 play cricket and basket ball, 4 play hockey and cricket and 15 students do not play any of these games. Then \[\] (a) find the number of students play hockey, basket ball and cricket.\[\] (b) find the number of students who play hockey but not cricket. \[\] (c) find the number of students who play hockey and cricket but not basket ball is
answered
Jun 24, 2014
(a) 3(b) 19(c) 1
0
votes
If A = {2, 3, 4, 5}, B = {1, 3, 4, 5, 6}, C = {1, 3, 4, 5, 7} and $ \mu $ = {1, 2, 3, 4, 5, 6, 7} then find: What do you notice?
answered
Jun 24, 2014
(A $ \cup $ B)’ = A’ $ \cap $ B’
0
votes
If A = {2, 3, 4, 5}, B = {1, 3, 4, 5, 6}, C = {1, 3, 4, 5, 7} and $ \mu $ = {1, 2, 3, 4, 5, 6, 7} then find: (A $ \cup $ B)’
answered
Jun 24, 2014
{7}
0
votes
If A = {2, 3, 4, 5}, B = {1, 3, 4, 5, 6}, C = {1, 3, 4, 5, 7} and $ \mu $ = {1, 2, 3, 4, 5, 6, 7} then find: (A – B) $ \cap $ (A – C)
answered
Jun 24, 2014
{2}
0
votes
If A = {2, 3, 4, 5}, B = {1, 3, 4, 5, 6}, C = {1, 3, 4, 5, 7} and $ \mu $ = {1, 2, 3, 4, 5, 6, 7} then find: A $ \Delta $ B
answered
Jun 24, 2014
{1, 2, 6}
0
votes
If A = {2, 3, 4, 5}, B = {1, 3, 4, 5, 6}, C = {1, 3, 4, 5, 7} and $ \mu $ = {1, 2, 3, 4, 5, 6, 7} then find: A – (B $ \cup $ C)
answered
Jun 24, 2014
{2}
0
votes
If A = {1, 2, 3} and B = {2, 3, 4, 5}, then find A $ \Delta $ B.
answered
Jun 24, 2014
{1, 4, 5}
0
votes
Pick out equal, equivalent overlapping and disjoint sets from the following set. \[\] G = The set of vowels from the word “Mathematics”.\[\] H = The set of constants from the word “problem”
answered
Jun 24, 2014
disjoint sets.
0
votes
Pick out equal, equivalent overlapping and disjoint sets from the following sets. \[\] E = {x / x < 6 and x $ \in $ W} \[\] F = {x / x < 7 and x $ \in $ N}
answered
Jun 24, 2014
equivalent sets.
0
votes
Pick out equal, equivalent overlapping and disjoint sets from the following sets. \[\] C = The set of even one-digit numbers \[\] D = The set of even numbers less than 9.
answered
Jun 24, 2014
equal
0
votes
Pick out equal, equivalent overlapping and disjoint sets from the following sets. \[\] A = {x / x is a letter of the word “education”} \[\] B = {x / x = vowels in the English alphabet}
answered
Jun 24, 2014
overlapping.
0
votes
If A = {2, 4, 6}, B = {1, 2, 3}, C = {1, 3, 5}, find $ A \cup ( B \cap C )$
answered
Jun 24, 2014
A $ \cup $ (B $ \cap $ C) = {1, 2, 3, 4, 6}
0
votes
If A = {2, 4, 6}, B = {1, 2, 3}, C = {1, 3, 5}, find $ A \cup ( B \cup C )$
answered
Jun 24, 2014
A $ \cup $ (B $ \cup $ C) = {1, 2, 3, 4, 5, 6}
0
votes
If A = {2, 4, 6}, B = {1, 2, 3}, C = {1, 3, 5}, find A $ \cup $ B
answered
Jun 22, 2014
A $ \cup $ B = {1, 2, 3, 4, 6}
0
votes
Match the following:
answered
Jun 22, 2014
1 $ \rightarrow $G; 2$ \rightarrow $D; 3$ \rightarrow $A; 4$ \rightarrow $F; 5$ \rightarrow $C
0
votes
A = Set of letters in the word “DENOTED” \[\] B = Set of letters in the word “NOTED” State whether A = B.
answered
Jun 22, 2014
A = B
0
votes
A = Set of letters in the word “VERSE” B = Set of letters in the word “Serve” State whether A = B.
answered
Jun 22, 2014
A = B
0
votes
What is the cardinal number of a set which has 63 subsets excluding itself?
answered
Jun 22, 2014
6
0
votes
Which of the following sets are empty, singleton, equivalent and equal sets? \[\] A = {x : $x^2$ = 9 and 2x = 3}B = {x : $x^2$ – 5x + 6 = 0, 2x = 6} \[\] C = {x : $ x^2$ – 4x + 3 = 0} D = {x : $x^2$ = 25} \[\] E = {x : 2x = 6 or x = 1}
answered
Jun 22, 2014
A is an empty setB is a singleton set C, D, E are equivalent sets C and E are equal sets.
0
votes
Wether the following set is a singleton set ? The set of months whose names begin with the letter F.
answered
Jun 22, 2014
The month whose name begin with f is = February
0
votes
Wether the following set is a singleton set ? The set of factors of 1.
answered
Jun 22, 2014
The factors of one = 1
0
votes
Wether the following set is a singleton set ? The set of even primes
answered
Jun 22, 2014
The even prime = 2.
0
votes
State which of the following sets are finite and which are infinite. \[\] i) $A_2 $ = {x / x $ \in $ N and x $ \geq $ 5} \[\] ii) B = {5, 7, 9, ......}
answered
Jun 22, 2014
Both ( i ) and (ii) are infinite set.
0
votes
Write the following set in Roster form. \[\] E = {x / x is a prime number and x < 12}
answered
Jun 22, 2014
E = {2, 3, 5, 7, 11}
0
votes
Write the following set in Roster form. \[\] D = {x / x $ \in $ N and x lies between 10 and 20}
answered
Jun 22, 2014
D = {11, 12, 13, 14, 15, 16, 17, 18, 19}
0
votes
Write the following set in Roster form. \[\] C = {x / x $ \in $ N and 0 < x < 5}
answered
Jun 22, 2014
C = {1, 2, 3, 4}
0
votes
Write the following set in Roster form. \[\] B = {x / x + 3 = 6}
answered
Jun 22, 2014
B = {3}
0
votes
Write the following set in Roster form. \[\] A = {x / x is an even natural number}
answered
Jun 22, 2014
A = {2, 4, 6, 8, 10, ....}
0
votes
Write the following in Roster and set builder form. \[\] $A_4$ is the set of capitals of Karnataka, Andhra Pradesh, Tamil Nadu, Kerala, Goa.
answered
Jun 22, 2014
$A_4$ = {x/x is a capital of a state in South India}
0
votes
Write the following in Roster and set builder form. \[\] $A_3$ is the set of people living in Andhra Pradesh.
answered
Jun 22, 2014
$A_3$ = {x/x is a resident of Andhra Pradesh}
0
votes
Write the following in Roster and set builder form. \[\] $ A_2$ is the set of all vowels in the English Alphabet a, e, i, o, u
answered
Jun 22, 2014
$A_2$ = {x/x is a vowel in the English Alphabet}
0
votes
Write the following in Roster and set builder form. \[\] $A_1$ is the set of numbers 1, 3, 5, 7.
answered
Jun 22, 2014
$A_1$ = {x/x is an odd number less than 9}
0
votes
Express or describe the following set in Roster form: The set of even primes.
answered
Jun 22, 2014
{2}
0
votes
Express or describe the following set in Roster form: The set of all the factors of 36.
answered
Jun 22, 2014
{1, 2, 3, 4, 6, 9, 12, 18, 36}
0
votes
Express or describe the following set in Roster form: The set of all multiples of 2 less than 11.
answered
Jun 22, 2014
{2, 4, 6, 8, 10}
0
votes
Express or describe the following set in Roster form: The set of letters in the word “Geometry”.
answered
Jun 22, 2014
{G, E, O, M, E, T, R, Y}
0
votes
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I,11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: \[\] the number of people who read exactly one newspaper.
answered
Jun 22, 2014
30
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