EASY
Earn 100

All huts are flats. No flat is a building
All building are cottages
Conclusion:

I No Hut is a cottage
II Some buildings are Huts

50% studentsanswered this correctly

Important Questions on Sets

EASY
Mathematics>Algebra>Sets>Venn Diagrams
If nA=3, nB=6 and A⊆B, then the number of elements in A∪B is equal to
EASY
Mathematics>Algebra>Sets>Venn Diagrams
If A⊂B, then AΔB is equal to
EASY
Mathematics>Algebra>Sets>Venn Diagrams
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be:
EASY
Mathematics>Algebra>Sets>Venn Diagrams
If a∗b=a2+b2+ab+2 on Z, then 4∗3=_____
MEDIUM
Mathematics>Algebra>Sets>Venn Diagrams
If X=4n-3n-1:n∈N  and Y=9n-1:n∈N, then X∩Y=
EASY
Mathematics>Algebra>Sets>Venn Diagrams
If a set A has 4 elements, then the total number of proper subsets of set A, is
MEDIUM
Mathematics>Algebra>Sets>Venn Diagrams
A survey shows that 63% of the people in a city read newspaper A whereas 76% read news paper B. If  x% of the people read both the newspapers, then a possible value of x can be:
EASY
Mathematics>Algebra>Sets>Venn Diagrams
Which one of the following is a correct statement?
EASY
Mathematics>Algebra>Sets>Venn Diagrams
Let A={ 1,2,3,4,5,6,7,8,9,10 }. Then the number of subsets of A containing two or three elements is
EASY
Mathematics>Algebra>Sets>Venn Diagrams
If A={x|x∈N,x is a prime number less than 12} and B={x|x∈N , x is factor of 10}, then A∩B=…
EASY
Mathematics>Algebra>Sets>Venn Diagrams
If * is a binary operation such that a * b=a2+b2, then 3*5 is
EASY
Mathematics>Algebra>Sets>Venn Diagrams
In an examination, 54% of the candidates passed in science and 42% failed in mathematics. If 32% failed in both subjects, what percentage passed in both subjects ?
EASY
Mathematics>Algebra>Sets>Venn Diagrams
In a class, students are assigned roll numbers from I to 140. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by 5 opted for football, and all those whose roll numbers are divisible by 3 opted for basketball. The number of students who did not opt for any of the three sports is
EASY
Mathematics>Algebra>Sets>Venn Diagrams
In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100, Physics 70, Chemistry 40, Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, physics and Chemistry 18. The number of students who have opted Mathematics alone is
EASY
Mathematics>Algebra>Sets>Venn Diagrams
In an examination, 35% of students who failed in Hindi, 45% of students failed in English and 20% of students failed in both subjects. What is the percentage of students passing in both the subjects?
EASY
Mathematics>Algebra>Sets>Venn Diagrams
How many pairs of (x, y) can be chosen from the set 2,3,6,8,9 such that xy+yx=2, where x≠y?
EASY
Mathematics>Algebra>Sets>Venn Diagrams
If A=x:x is a multiple of 7, B=x:x is a multiple of 5 and C=x:x is a multiple of 35, then which one of the folowing is a null set?
EASY
Mathematics>Algebra>Sets>Venn Diagrams
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively
EASY
Mathematics>Algebra>Sets>Venn Diagrams

Some cars are towns.
Some towns are flowers
All Plants are flowers

Conclusion : 

I No plant is a car
II Some cars are flowers

EASY
Mathematics>Algebra>Sets>Venn Diagrams
In an examination, 53% of the candidates failed in science and 48% failed in mathematics. If 40% failed in both subjects, what percentage passed in both subjects ?