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MET
List of top Questions asked in MET
The number of values of the triplet (a, b, c) for which $a \cos 2x + b \sin² x + c = 0$ is satisfied by all real x, is
MET - 2010
MET
Mathematics
Trigonometric Functions
The greatest coefficient in the expansion of $(1+x)²n$ is ________.
MET - 2010
MET
Mathematics
Binomial theorem
The number of terms in the expansion of $(\sqrt5+\sqrt[4]11)¹24$ which are integers is equal to ________.
MET - 2010
MET
Mathematics
Binomial theorem
The constant term in the expansion of $(1+x)ᵐ(1+\frac1x)ⁿ$ is ________.
MET - 2010
MET
Mathematics
Binomial theorem
The numbers $aₙ$ are defined by $a₀=1$ and $aₙ+1=3n²+n+aₙ$ for $n ≥ 0$. Then, $aₙ$ is equal to ________.
MET - 2010
MET
Mathematics
sequences
There are P copies of n-different books. The number of different ways in which a non-empty selection can be made from them is ________.
MET - 2010
MET
Mathematics
permutations and combinations
Out of 18 points in a plane no three are in the same straight line except five points which are collinear. The number of straight lines that can be formed joining them is ________.
MET - 2010
MET
Mathematics
permutations and combinations
Nishi has 5 coins each of different denomination. The number of different sums of money she can form is ________.
MET - 2010
MET
Mathematics
Combinatorics
At $25^\circC$ the highest osmotic pressure is exhibited by 0.1 M solution of ________.
MET - 2010
MET
Chemistry
Colligative Properties
Collin's reagent is used to convert ________.
MET - 2010
MET
Chemistry
Alcohols
Ammonia is dried over ________.
MET - 2010
MET
Chemistry
Ammonia
The range of the function $f(x)=\logₑ(3x²-4x+5)$ is ________.
MET - 2010
MET
Mathematics
Functions
Oxalic acid when heated with conc. $H₂SO₄$ gives ________.
MET - 2010
MET
Chemistry
Chemical Reactions
Inductive effect involves ________.
MET - 2010
MET
Chemistry
electron displacement effects
Lipids are ________.
MET - 2010
MET
Chemistry
Biomolecules
The enzyme pepsin hydrolyses ________.
MET - 2010
MET
Chemistry
Proteins
Carbon cannot be used in the reduction of $Al₂O₃$ because ________.
MET - 2010
MET
Chemistry
Metallurgy
The solubility of AgCl in 0.2 M NaCl solution is ($Kₛp$ of $AgCl = 1.20 × 10^-10$).
MET - 2010
MET
Chemistry
Solubility Equilibria Of Sparingly Soluble Salts
Which of the following is not true for carbanions?
MET - 2010
MET
Chemistry
electron displacement effects
In a homonuclear molecule which of the following set of orbitals is degenerate?
MET - 2010
MET
Chemistry
Quantum Mechanical Model of Atom
Which among the following statements is correct with respect to the optical isomers?
MET - 2010
MET
Chemistry
Stereochemistry
Which is Lewis acid?
MET - 2010
MET
Chemistry
Acid-base concepts and principles
The pH of a neutral water sample is 6.5. Then the temperature of water ________.
MET - 2010
MET
Chemistry
Ionic Equilibrium In Solution
The pH of $10^-10$ M NaOH solution is nearest to ________.
MET - 2010
MET
Chemistry
Ionic Equilibrium In Solution
Angle strain in cyclopropane is ________.
MET - 2010
MET
Chemistry
Hydrocarbons
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