JEE Questions for Maths Sets Relations And Functions Quiz 10 - MCQExams.com


Maths-Sets Relations and Functions-50307.png
  • A = B
  • B = C
  • A = C
  • A = B = C

Maths-Sets Relations and Functions-50308.png
  • {a, b, c}
  • {b, c, d}
  • {a, b, d, e}
  • {e}
If A and B are sets, then A ∩ (B – A) is
  • ϕ
  • A
  • B
  • None of these

Maths-Sets Relations and Functions-50311.png
  • A
  • B
  • ϕ
  • None of these

Maths-Sets Relations and Functions-50313.png

  • Maths-Sets Relations and Functions-50314.png
  • A

  • Maths-Sets Relations and Functions-50315.png
  • B
If A is any set, then

  • Maths-Sets Relations and Functions-50317.png
  • 2)
    Maths-Sets Relations and Functions-50318.png

  • Maths-Sets Relations and Functions-50319.png
  • None of these
A class has 175 students. The following data shows the number of students obtaining one more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and physics 30, Mathematics and chemistry 18. How many students have offered Mathematics alone
  • 35
  • 48
  • 60
  • 22
The shaded region in the given figure is

  • Maths-Sets Relations and Functions-50321.png
  • 2)
    Maths-Sets Relations and Functions-50322.png

  • Maths-Sets Relations and Functions-50323.png

  • Maths-Sets Relations and Functions-50324.png

Maths-Sets Relations and Functions-50325.png
  • A U B
  • A ∩ B
  • A
  • B'

Maths-Sets Relations and Functions-50327.png

  • Maths-Sets Relations and Functions-50328.png
  • 2)
    Maths-Sets Relations and Functions-50329.png

  • Maths-Sets Relations and Functions-50330.png

  • Maths-Sets Relations and Functions-50331.png

Maths-Sets Relations and Functions-50333.png
  • 3
  • 9
  • 6
  • None of these

Maths-Sets Relations and Functions-50335.png
  • 0.3
  • 0.5
  • 0.05
  • None of these

Maths-Sets Relations and Functions-50337.png
  • 17
  • 9
  • 11
  • 3
  • 16

Maths-Sets Relations and Functions-50339.png

  • Maths-Sets Relations and Functions-50340.png
  • 2)
    Maths-Sets Relations and Functions-50341.png

  • Maths-Sets Relations and Functions-50342.png

  • Maths-Sets Relations and Functions-50343.png

  • Maths-Sets Relations and Functions-50344.png
In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs. The minimum value of x is
  • 10
  • 12
  • 15
  • None of these
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 played all the three games. The number of boys who did not play game is
  • 128
  • 216
  • 240
  • 160
A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x% of the Americans like both cheese and apples, then
  • x = 39
  • x = 63
  • 39 ≤ x ≤ 63
  • None of these
If n(A) denotes the number of elements in set A and if n(A) = 4, n(B) = 5 and n(A ∩ B) = 3, then n(A × B) ∩ (B × A) =
  • 8
  • 9
  • 10
  • 11
Of the members of three athletic teams in a school 21 are in the cricket team, 26 are in the hockey team and 29 are in the football team. Among them, 14 play hockey and cricket
  • 43
  • 76
  • 49
  • None of these
In a class 100 students, 55 students have passed in Mathematics and 67 students have passed in Physics. Then the number of students who have passed in physics only
  • 22
  • 33
  • 10
  • 45
If A and B are two sets, then A × B = B × A iff

  • Maths-Sets Relations and Functions-50352.png
  • 2)
    Maths-Sets Relations and Functions-50353.png

  • Maths-Sets Relations and Functions-50354.png
  • None of these
If A and B are two sets, then (A ∩ B)\' is equal to
  • A' ∩ B'
  • A' U B'
  • A ∩ B
  • A U B
If A and B be subsets of a set X. Then

  • Maths-Sets Relations and Functions-50357.png
  • 2)
    Maths-Sets Relations and Functions-50358.png

  • Maths-Sets Relations and Functions-50359.png

  • Maths-Sets Relations and Functions-50360.png
Let A and B be two sets in the universal set. Then A – B equals
  • A ∩ Bc
  • Ac ∩ B
  • A ∩ B
  • None of these
If A, B and C are three sets, A - (B ∩ C) is equal to

  • Maths-Sets Relations and Functions-50362.png
  • 2)
    Maths-Sets Relations and Functions-50363.png

  • Maths-Sets Relations and Functions-50364.png

  • Maths-Sets Relations and Functions-50365.png

Maths-Sets Relations and Functions-50367.png

  • Maths-Sets Relations and Functions-50368.png
  • 2)
    Maths-Sets Relations and Functions-50369.png

  • Maths-Sets Relations and Functions-50370.png
  • None of these
If A = {1,2,4}, B = {2, 4, 5}, C = {2, 5}, then (A – B) × (B – C) is
  • {(1, 2), (1, 5), (2, 5)}
  • {(1, 4)}
  • (1, 4)
  • None of these
If (1, 3), (2,and (3,are three elements of A × B and the total number of elements in A × B is 6, then the remaining elements of A × B are
  • (1, 5); (2, 3); (3, 5)
  • (5, 1); (3,2); (5, 3)
  • (1, 5); (2, 3); (5, 3)
  • None of these

Maths-Sets Relations and Functions-50373.png
  • {(3,1), (2, 3), (3,3), (3, 8)}
  • {(1, 3), (2, 3), (3,3), (8, 3)}
  • {(1, 2), (2,3), (3,3), (8, 8)}
  • {(8, 3), (8, 2), (8, 1), (8, 8)}

Maths-Sets Relations and Functions-50375.png

  • Maths-Sets Relations and Functions-50376.png
  • 2)
    Maths-Sets Relations and Functions-50377.png

  • Maths-Sets Relations and Functions-50378.png

  • Maths-Sets Relations and Functions-50379.png
In a class of 30 pupils, 12 take needle work, 16 take physics and 18 take history. If all the 30 students take at least one subject and no one takes all three then the number of pupils taking 2 subjects is
  • 16
  • 6
  • 8
  • 20
If n(A) = 4, n(B) = 3, (A × B × C) = 24, then n(C) =
  • 288
  • 1
  • 12
  • 17
  • 2
The number of elements in the set {(a, b) : 2a2 + 3b2 = 35, a, b ϵ Z}, where Z is the set of all integer, is
  • 2
  • 4
  • 8
  • 12
  • 16
If A = {1,2,3,4}; B = {a, b} and f is a mapping such that f : A → B, then A × B is
  • {(a, 1), (3, b)}
  • {(a, 2), (4, b)}
  • {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b), (4, a), (4, b)}
  • None of these

Maths-Sets Relations and Functions-50384.png
  • {3, 4, 6}
  • {1, 2, 3}
  • {1, 4,3}
  • None of these
If A = {x, y}, then the power set of A is

  • Maths-Sets Relations and Functions-50386.png
  • 2)
    Maths-Sets Relations and Functions-50387.png

  • Maths-Sets Relations and Functions-50388.png

  • Maths-Sets Relations and Functions-50389.png

Maths-Sets Relations and Functions-50390.png
  • 1 and 3
  • 2 only
  • 2 and 3
  • 1 and 2
Which of the following is a true statement

  • Maths-Sets Relations and Functions-50392.png
  • 2)
    Maths-Sets Relations and Functions-50393.png

  • Maths-Sets Relations and Functions-50394.png
  • None of these

Maths-Sets Relations and Functions-50395.png
  • 16
  • 12
  • 8
  • 4
If the set A contains 5 elements, then the number of elements in the power set P(A) is equal to
  • 32
  • 25
  • 16
  • 8
  • 10
Let S = {1,2,3,4} . The total number of unordered pairs of disjoint subsets of S is equal to
  • 25
  • 34
  • 42
  • 41

Maths-Sets Relations and Functions-50399.png

  • Maths-Sets Relations and Functions-50400.png
  • 2)
    Maths-Sets Relations and Functions-50401.png

  • Maths-Sets Relations and Functions-50402.png

  • Maths-Sets Relations and Functions-50403.png

Maths-Sets Relations and Functions-50405.png

  • Maths-Sets Relations and Functions-50406.png
  • 2)
    Maths-Sets Relations and Functions-50407.png

  • Maths-Sets Relations and Functions-50408.png

  • Maths-Sets Relations and Functions-50409.png
Let A = {1,2,3}. The total number of distinct relations that can be defined over A is
  • 29
  • 6
  • 8
  • None of these
Let A = {1,2,3} and B = {2,3,4}, then which of the following relations is a function from A to B
  • {(1, 2), (2, 3), (3, 4),(2,2)}
  • {(1, 2), (2, 3),(1,3)}
  • {(1, 3), (2,3), (3,3)}
  • {(1,1), (2,3), (3,4)}
The relation R defined on the set of natural numbers as {(a, b) : a differs from by 3}, is given by
  • {(1,4), (2,5), (3,6),…}
  • {(4,1), (5,2), (6,3),..}
  • {(1,3), (2, 6), (3, 9),…}
  • None of the above
The relation R is defined on the set of natural numbers as {(a, b) : a = 2b}. Then R–1 is given by
  • {(2, 1), (4, 2), (6, 3),…}
  • {(1,2), (2, 4), (3, 6),…}
  • R–1 is not defined
  • None of the above
The relation R = {(1, 1), (2, 2), (3,3), (1,2), (2, 3), (1, 3)} on set A = {1, 2, 3} is
  • Reflexive but not symmetric
  • Reflexive but not transitive
  • Symmetric and tranitive
  • Neither symmetric nor transitive
The relation “lesson than” in the set of natural number is
  • Only symmetric
  • Only transitive
  • Only reflexive
  • Equivalence relation
For real numbers x and y, we write xRy ⇒ x – y + √2 is an irrational number. Then the relation R is
  • Reflexive
  • Symmetric
  • Transitive
  • None of these
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