Self Studies

Relations Test ...

TIME LEFT -
  • Question 1
    1 / -0

    The relation RR defined on the set A={1,2,3,4,5}A=\left\{ 1,2,3,4,5 \right\} by R={(a,b):a2b2<16}R=\left\{ \left( a,b \right) :\left| { a }^{ 2 }-{ b }^{ 2 } \right| <16 \right\} , is not given by

  • Question 2
    1 / -0

    If RR is a relation on the set A={1,2,3,4,5,6,7,8,9}A=\left\{ 1,2,3,4,5,6,7,8,9 \right\} given by xRyy=3xxRy\Leftrightarrow y=3x, then R=R=

  • Question 3
    1 / -0

    Let A={2,3,4,5,....,17,18}A=\left\{ 2,3,4,5,....,17,18 \right\} . Let \simeq be the equivalence relation on A×AA\times A, cartesian product of AA with itself, defined by (a,b)(c,d)(a,b)\simeq (c,d), iff ad=bcad=bc. The the number of ordered pairs of the equivalence class of (3,2)(3,2) is

  • Question 4
    1 / -0

    If RR is the largest equivalence relation on a set AA and SS is any relation on AA, then

  • Question 5
    1 / -0

    The maximum number of equivalence relations on the set A={1,2,3}A=\left\{ 1,2,3 \right\} is

  • Question 6
    1 / -0

    For real number xx and yy, define xRyxRy iff xy+2x-y+\sqrt{2} is an irrational number. Then the relation RR is

  • Question 7
    1 / -0

    If A={a,b,c,d}A=\left\{ a,b,c,d \right\} , then a relation R={(a,b),(b,a),(a,a) }R=\left\{ \left( a,b \right) ,\left( b,a \right) ,\left( a,a \right)  \right\} on AA is

  • Question 8
    1 / -0

    The number of ordered pairs (a, b) of positive integers such that 2a1b\dfrac{2a - 1}{b} and 2b1a\dfrac{2b - 1}{a} are both integers is 

  • Question 9
    1 / -0

    Let Z be the set of all integers and let R be a relation on Z defined by aa R b(ab)b\Leftrightarrow (a-b) is divisible by 33. Then, R is?

  • Question 10
    1 / -0

    If A={2,4,5},B={7,8,9}A=\{2, 4, 5\}, B=\{7, 8, 9\} then n(A×B)n(A\times B) is equal to

Submit Test
Self Studies
User
Question Analysis
  • Answered - 0

  • Unanswered - 10

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
Submit Test
Self Studies Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Self Studies
Click on Allow to receive notifications
Allow Notification
Self Studies
Self Studies Self Studies
To enable notifications follow this 2 steps:
  • First Click on Secure Icon Self Studies
  • Second click on the toggle icon
Allow Notification
Get latest Exam Updates & FREE Study Material Alerts!
Self Studies ×
Open Now