Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Sets and Relations question

2021 · 24 Feb · Shift 1 · Q40
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Sets and Relations
  5. /2021 · 24 Feb · Shift 1 · Q40

Sets and Relations question

2021 · 24 Feb · Shift 1 · Q40

JEE MainMathematicsSets and RelationsNumerical+4 / −1
Let A = {n ∈\in∈ N: n is a 3-digit number} B = {9k + 2: k ∈\in∈ N} and C = {9k + lll: k ∈\in∈ N} for some l(0<l<9)l ( 0 \lt l \lt 9)l(0<l<9) If the sum of all the elements of the set A ∩\cap∩(B ∪\cup∪ C) is 274 ×\times× 400, then lll is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Sets and Relations

  • Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs infection. If K% of them are suffering from both ailments, then K can not belong to the set :2021 · MCQ
  • Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1, − 1) is the set :2021 · MCQ
  • If A = {x ∈ R : |x − 2| > 1}, B = {x ∈ R : x2−3​> 1}, C = {x ∈ R : |x − 4|≥ 2} and Z is the set of all integers, then the number of subsets of the set (A ∩ B ∩ C)c ∩ Z is ​…2021 · Numerical
  • Let N be the set of natural numbers and a relation R on N be defined by R={(x,y)∈N×N:x3−3x2y−xy2+3y3=0}. Then the relation R is :2021 · MCQ
  • Let A = {n ∈ N | n2 ≤ n + 10,000}, B = {3k + 1 | k ∈ N} an dC = {2k | k ∈ N}, then the sum of all the elements of the set A ∩(B − C) is equal to ​.2021 · Numerical
  • Which of the following is not correct for relation R on the set of real numbers ?2021 · MCQ
  • If R = {(x, y) : x, y ∈ Z, x2 + 3y2 ≤ 8} is a relation on the set of integers Z, then the domain of R–1 is :2020 · MCQ
  • Consider the two sets : A = {m ∈ R : both the roots of x2 – (m + 1)x + m + 4 = 0 are real} and B = [–3, 5). Which of the following is not true?2020 · MCQ