ExamSIDE (Powered by ExamGOAL)
Questions
This chapter is currently out of syllabus
PREVIOUS NEXT
1
JEE Main 2020 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Negation of the statement :

$$\sqrt 5 $$ is an integer or 5 is an irrational is :
A
$$\sqrt 5 $$ is not an integer and 5 is not irrational.
B
$$\sqrt 5 $$ is irrational or 5 is an integer.
C
$$\sqrt 5 $$ is an integer and 5 is irrational.
D
$$\sqrt 5 $$ is not an integer or 5 is not irrational.
2
JEE Main 2020 (Online) 8th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which of the following statements is a tautology?
A
~(p $$ \wedge $$ ~q) $$ \to $$ p $$ \vee $$ q
B
~(p $$ \vee $$ ~q) $$ \to $$ p $$ \vee $$ q
C
~(p $$ \vee $$ ~q) $$ \to $$ p $$ \wedge $$ q
D
p $$ \vee $$ (~q) $$ \to $$ p $$ \wedge $$ q
3
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which one of the following is a tautology?
A
P $$ \wedge $$ (P $$ \vee $$ Q)
B
P $$ \vee $$ (P $$ \wedge $$ Q)
C
Q $$ \to $$ (P $$ \wedge $$ (P $$ \to $$ Q))
D
(P $$ \wedge $$ (P $$ \to $$ Q)) $$ \to $$ Q
4
JEE Main 2020 (Online) 7th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A $$ \subseteq $$ B and B $$ \subseteq $$ D, then A $$ \subseteq $$ C" is :
A
If A ⊈ C, then A ⊈ B or B ⊈ D
B
If A ⊈ C, then A ⊈ B and B $$ \subseteq $$ D
C
If A $$ \subseteq $$ C, then B $$ \subset $$ A or D $$ \subset $$ B
D
If A ⊈ C, then A $$ \subseteq $$ B and B $$ \subseteq $$ D
PREVIOUS NEXT
JEE Main Subjects
Physics
Mechanics
Units & Measurements Vector Algebra Motion in a Straight Line Motion in a Plane Circular Motion Laws of Motion Work Power & Energy Center of Mass and Collision Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation
Electricity
Electrostatics Current Electricity Capacitor Magnetic Effect of Current Magnetic Properties of Matter Electromagnetic Induction Alternating Current Electromagnetic Waves
Optics
Geometrical Optics Wave Optics
Modern Physics
Atoms and Nuclei Dual Nature of Radiation Semiconductor Communication Systems
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry Structure of Atom Redox Reactions Gaseous State Chemical Equilibrium Ionic Equilibrium Solutions Thermodynamics Electrochemistry Chemical Kinetics and Nuclear Chemistry Solid State Surface Chemistry
Inorganic Chemistry
Periodic Table & Periodicity Chemical Bonding & Molecular Structure Isolation of Elements Hydrogen s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Environmental Chemistry
Organic Chemistry
Basics of Organic Chemistry Hydrocarbons Haloalkanes and Haloarenes Alcohols, Phenols and Ethers Aldehydes, Ketones and Carboxylic Acids Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry
Mathematics
Algebra
Sets and Relations Logarithm Quadratic Equation and Inequalities Sequences and Series Mathematical Induction Binomial Theorem Matrices and Determinants Permutations and Combinations Probability Vector Algebra 3D Geometry Complex Numbers Statistics Mathematical Reasoning
Trigonometry
Trigonometric Ratio and Identites Trigonometric Equations Inverse Trigonometric Functions Properties of Triangle Height and Distance
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integrals Definite Integration Area Under The Curves Differential Equations
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CETKCETCOMEDKVITEEEAP EAPCET
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12