EASY
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Which Venn diagram represents the truth of the statement "Some teenagers are not dreamers" (where T is the set of teenagers and D is the set of dreamers)

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Important Questions on Sets

EASY
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 ?
EASY

In the given Venn diagram nA is

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MEDIUM
If A and B are two non-empty sets, then B-AAB' is equal to
EASY
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

MEDIUM
An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take milk and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then the number of students who did not take any of the three drinks is
EASY

The shaded region in the given figure shows _____

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EASY

In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagrams can justify the above statement?

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EASY
Which one of the following is a correct statement?
MEDIUM
If A=a1, a2, .a10: a1{1, 2, 3}, a1+ai+1 is even, 1i9, then the number of elements in the set A is
EASY
A set T is given as T=xR(x-3)=(x+4)2,x<2. Which of these would be TRUE about the set T ?
EASY

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

Conclusion : 

I No plant is a car
II Some cars are flowers

MEDIUM
Let S=xR:cosx+cos2x<2, then
EASY
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
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 ?
MEDIUM
If A={x:x is a letter of the word EXAMINATION}, then its roster form is 
EASY
How many pairs of (x, y) can be chosen from the set 2,3,6,8,9 such that xy+yx=2, where xy?
EASY
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?
MEDIUM
Which of the following statements is false?
HARD

Let A be the set of vectors a=a1,a2,a3 satisfying i=13ai2i2=i=13ai22i. Then,

HARD
Let A, B and C  be sets such that ϕABC. Then which of the following statements is not true?