1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Let a, b, c be real numbers, each greater than 1, such that $${2 \over 3}{\log _b}a + {3 \over 5}{\log _c}b + {5 \over 2}{\log _a}c = 3$$. If the value of b is 9, then the value of 'a' must be
2
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Consider the real valued function h : {0, 1, 2, ...... 100} $$\to$$ R such that h(0) = 5, h(100) = 20 and satisfying h(p) = $${1 \over 2}$$ {h(p + 1) + h(p $$-$$ 1)} for every p = 1, 2 ..... 99. Then the value of h(1) is
3
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
The digit in the unit's place of the number 1! + 2! + 3! + .... + 99! is
4
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Three unequal positive numbers a, b, c are such that a, b, c are in G.P. while $$\log \left( {{{5c} \over {2a}}} \right),\log \left( {{{7b} \over {5c}}} \right),\log \left( {{{2a} \over {7b}}} \right)$$ are in A.P. Then a, b, c are the lengths of the sides of
Questions Asked from Sequence and Series (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
WB JEE Subjects
Physics
Mechanics
Units & Measurements
Vector Algebra
Motion
Laws of Motion
Work Power & Energy
Center of Mass
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry
Atomic Structure
Redox Reaction
Gaseous State
Chemical Equilibrium
Liquid Solution
Ionic Equilibrium
Thermodynamics
Chemical Kinetics
Radioactivity and Nuclear Chemistry
Electrochemistry
Solid State
Surface Chemistry
Inorganic Chemistry
Periodic Table
Chemical Bonding
Metallurgy
Hydrogen and It's Compounds
Some s Block Elements
Some P Block Elements
d and f Block Elements
Coordination Compounds
Organic Chemistry
Mathematics
Algebra
Logarithms
Sequence and Series
Quadratic Equations
Complex Numbers
Permutations and Combinations
Mathematical Induction and Binomial Theorem
Matrices and Determinants
Vector Algebra
Three Dimensional Geometry
Probability
Statistics
Sets and Relations
Trigonometry
Coordinate Geometry
Calculus