Self Studies

Sets Test - 28...

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  • Question 1
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    If out of 150 students who read at least one newspaper The Times of India, The Hindustan Times and The Hindu. There are 65 who read The Times of India, 41 who read The Hindu and 50 who read The Hindustan Times. What is the maximum possible number of students who read all the three newspaper?

  • Question 2
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    Directions For Questions

    In a survey of 25 students, it was found that 15 had taken mathematics, 12 had taken physics and 11 had taken chemistry, 5 had taken mathematics and chemistry, 9 had taken mathematics and physics, 4 had taken physics and chemistry and 3 had taken all the three subjects.

    ...view full instructions

    Find the number of students that had taken only mathematics

  • Question 3
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    Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey ; 80 played cricket and basketball and 40 played cricket and hockey 24 player all the three games. The number of boys who did not play any game is

  • Question 4
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    Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in $$A\cup B$$ ? 

  • Question 5
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    How many subsets can be formed from the set $$\left \{p, q, r\right \}$$ is?

  • Question 6
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    If $$A=\left \{1, 2, 3, .....9\right \}$$ and $$B=\left \{2, 3, 4, 5, 7, 8\right \}$$, then A-B is given by

  • Question 7
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    The set of real numbers r satisfying
    $$\displaystyle \frac{3 r^2- 8r+5}{4r^2-3r+7}>0$$ is

  • Question 8
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    Let $$ S=\left\{1,2,3,.....40\right\} $$ and let $$A$$ be a subset of $$S$$ such that no two elements in $$A$$ have their sum divisible by $$5$$ What is the maximum number of elements possible in $$A$$?

  • Question 9
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    Look at the set of numbers below.
    Set : $$\left \{6, 12, 30, 48\right\}$$
    Which statement about all the numbers in this set is NOT true?

  • Question 10
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    In a class of 55 students, the number of students studying different subjects are 23 in Mathematics and 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects, The number of students who have taken exactly one subject is

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