Q. 1 – Q. 5 carry one mark each.
Q.
If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =
One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the
following is INCORRECT?
I requested that he should be given the driving test today instead of tomorrow.
Which one of the following options is the closest in meaning to the word given below?
Latitude
Choose the most appropriate word from the options given below to complete the following
sentence:
Given the seriousness of the situation that he had to face, his ___ was impressive.
Choose the most appropriate alternative from the options given below to complete the following
sentence:
If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.
Q. 6 - Q. 10 carry two marks each.
Q
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed
and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting,
even when the odds and conditions were against them.
Which one of the following statements best sums up the meaning of the above passage?
A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a
condition that whoever arrives first will not wait for the other for more than 15 minutes. The
probability that they will meet on that day is
The data given in the following table summarizes the monthly budget of an average household.
The approximate percentage of the monthly budget NOT spent on savings is
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly
heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number
of weighings required to identify the heavier bag is
Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total
money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is
Q. 11 – Q. 35 carry one mark each
Q.
In the proton decoupled 13C NMR spectrum of 7-norbornanone, the number of signals obtained is
I dentify the most probable product in the given reaction
I n the cyclization reaction given below, the most probable product formed is
If Δy and Δpy are the uncertainties in the y-coordinate and the y component of the momentum of a
particle respectively, then, according to uncertainty principle ΔyΔpy is ( h=2/2π) and h is Planck’s
constant)
The average length of a typical α-helix comprised of 10 amino acids is
Number of thymine residues in a 5000 kb DNA containing 23% guanine residues is
S hown below is a Hammett plot obtained for the reaction
The change in slope of the plot indicates that
The ratio of relative intensities of the two molecular ion peaks of methyl bromide (CH3Br) in the
mass spectrum is
A disaccharide that will not give Benedict’s test and will not form osazone is
Choose the allowed transition
T he angular part of the wavefunction for the electron in a hydrogen atom is proportional to
. The values of the azimuthal quantum number ( l ) and the magnetic quantum
number (m ) are, respectively
L et and
denote the wavefunctions of the 2px and 2pz orbitals of carbon, respectively, and
and
represent the wavefunctions of the 2px and 2pz orbitals of oxygen, respectively. If c1 and c2 are constants used in linear combinations and the CO molecule is oriented along the z axis, then, according to molecular orbital theory, the π-bonding molecular orbital has a wave function given by
The bond that gives the most intense band in the infrared spectrum for its stretching vibration is
I f xA and xB are the respective mole fractions of A and B in an ideal solution of the two and TA, TB,
T are the fusion temperatures of pure A, pure B and the ideal solution respectively, then
For a reaction involving two steps given below
assume that the first step attains equilibrium rapidly. The rate of formation of P is proportional to
A metal chelate that can be used for separation and quantitative analysis of aluminium ions by gas
chromatography is
The enthalpies of hydration of Ca2+, Mn2+ and Zn2+ follow the order
The number of terminal carbonyl groups present in Fe2(CO)9 is
Among the following substituted silanes, the one that gives cross-linked silicone polymer upon
hydrolysis is
The plot of versus T (where
is molar magnetic susceptibility and T is the temperature) for a
paramagnetic complex which strictly follows Curie equation is
A mong the following donors, the one that forms most stable adduct with the Lewis acid B(CH3)3 is
T he complex with inverse-spinel structure is
T he IUPAC nomenclature of Na[PCl6] is
An intermediate formed during the hydroformylation of olefins using Co2(CO)8 as catalyst is
T he order of polarity of NH3, NF3 and BF3 is
Q. 36 to Q. 65 carry two marks each.
Q.
F rom a carboxymethyl-cellulose column at pH 6.0, arginine, valine and glutamic acid will elute in
the order
S ymmetry operations of the four C2 axes perpendicular to the principal axis belong to the same
class in the point group(s)
A t 298 K, the EMF of the cell
is 0.7530 V. The standard potential of the calomel electrode is 0.2802 V. If the liquid junction
potential is zero, the pH of the solution is
T he wavefunction of a 1-D harmonic oscillator between x =+∞ and x =- ∞ is given by The value of N that normalizes the function ψ (x) is
Consider the reaction
H2 + C2H4 → C2H6
The molecular diameters of H2 and C2H4 are 1.8 Å and 3.6 Å respectively. The pre-exponential
factor in the rate constant calculated using collision theory in m3 (mole)-1 s-1 is approximately
(For this reaction at 300 K, where the symbols have their usual meanings)?
The molecular partition function of a system is given by
where the symbols have their usual meanings. The heat capacity at constant volume for this system is
C onsider the phase diagram given below.
At the intersection point Q the phases that are in equilibrium are
I dentify the product from the following reaction
(9-BBN = 9-Borabicyclo[3•3•1]nonane)
The product from the following reaction is
(Imp: Correct answer will be uploaded soon, Temoparary mark a)
T he acid catalyzed cyclization of 5-ketodecan-1,9-diol is given below
The most predominant spiroketal is
For a face centered cubic lattice, the Miller indices for the first Bragg’s peak (smallest Bragg angle)
are
For the titration of a 10 mL (aq) solution of CaCO3, 2 mL of 0.001 M Na2EDTA is required to
reach the end point. The concentration of CaCO3 (assume molecular weight of CaCO3 = 100) is
In the reaction
the product formed is
In the reaction given below, identify the product
(Correct Answer will be updated soon , Temoprary marked A)
C onsider the following pairs of complexes
The electron transfer rate will be fastest in the pair
The extent of Mössbauer quadrupole splitting of iron follows the order
Hemoglobin is an oxygen carrying protein. The correct statement about oxy-hemoglobin is that
If a mixture of NaCl, conc. H2SO4 and K2Cr2O7 is heated in a dry test tube, a red vapour (P) is
formed. This vapour (P) dissolves in aqueous NaOH to form a yellow solution, which upon
treatment with AgNO3 forms a red solid (Q). P and Q are, respectively
For the following reaction
The ground states of high-spin octahedral and tetrahedral Co(II) complexes are, respectively
The INCORRECT statement about Zeise’s salt is
T he number of possible isomers for the square planar mononuclear complex [(NH3)2M(CN)2] of a
metal M is
(Correct Answer will be updated soon, Temprary marked A)
Common Data for Questions 58 and 59:
Consider the reaction sequence shown below:
TsCl = p-toluenesulfonyl chloride
Q.
T he oxidant X used in step 1 is
Consider the reaction sequence shown below:
Q.
The product is
Common Data for Questions 50 and 51:
Consider the E1 reaction of tert-amyl halides from the energy profile given below.
Q.
In the above reaction, X = Cl, Br or I. Based on the graph, identify the alkyl halides (R-X) as S1,
S2 and S3
Common Data for Questions 50 and 51:
Consider the E1 reaction of tert-amyl halides from the energy profile given below.
Q.
I dentify product P1 and its yield relative to P2
Statement for Linked Answer Questions 62 and 63:
A 20491 cm-1 laser line was used to excite oxygen molecules (made of 16O only) to obtain the rotational Raman spectrum. The resulting rotational Raman spectrum of oxygen molecule has the first Stokes line at 20479 cm-1
Q.
The rotational constant (usually denoted as B) for the oxygen molecule is
A 20491 cm-1 laser line was used to excite oxygen molecules (made of 16O only) to obtain the rotational Raman spectrum. The resulting rotational Raman spectrum of oxygen molecule has the first Stokes line at 20479 cm-1
Q.
The next rotational Stokes line is expected at
Statement for Linked Answer Questions 64 and 65: Hückel molecular orbital theory can be applied to
the allene radical
CH2-CH-CH2
Q.
The secular determinant (where α , β and E have their usual meanings) is given by
Hückel molecular orbital theory can be applied to the allene radical
CH2-CH-CH2
Q.
The possible values of E are
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