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Standalone Questions
#961
Mathematics
Practice
MCQ_SINGLE
APPLY
MEDIUM
Competency
Marks
Let A = {-2, -1, 0, 1, 2, 3}. Let R be a relation on A defined by Ry if and only if y = max{x, 1}. Let I be the
number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it
reflexive and symmetric relations, respectively. Then l + m + n is equal to
number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it
reflexive and symmetric relations, respectively. Then l + m + n is equal to
(A) 11
(B) 12
(C) 14
(D) 13
Key: B
Sol:
Sol:
#960
Mathematics
Practice
MCQ_SINGLE
APPLY
HARD
2025
JEE Main 2025
Competency
0 Marks
Let A = {0, 1, 2, 3, 4, 5}. Let R be a relation on A defined by (x, y) ā R if and only if max{x,y} ā {3, 4}. Then among the statements
(Sā): The number of elements in R is 18, and
(S2): The relation R is symmetric but neither reflexive nor transitive
(Sā): The number of elements in R is 18, and
(S2): The relation R is symmetric but neither reflexive nor transitive
(A) both are false
(B) only (Sā) is true
(C) only (S2) is true
(D) both are true
Key: C
Sol:
Sol:
ok
#715
Mathematics
Practice
ASSERTION_REASON
APPLY
MEDIUM
2020
Competency
4 Marks
Assertion: The boiling point of water is higher at lower elevations. Reason: Atmospheric pressure increases as elevation decreases.
Key: Both true and R explains A
Sol:
Sol:
Boiling occurs when vapor pressure equals atmospheric pressure. Higher pressure requires higher temperature.