JEE Main 2018 (Offline)

The major product formed in the following reaction is :

Phenol reacts with methyl chloroformate in the presence of NaOH to form product A. A reacts with Br2 to
form product B. A and B are respectively :

Phenol on treatment with CO2 in the presence of NaOH followed by acidification produces compound X as
the major product. X on treatment with (CH3CO)2O in the presence of catalytic amount of H2SO4 produces:

Glucose on prolonged heating with HI gives

The predominant form of histamine present in human blood is (pKa, Histidine = 6.0)

Total number of lone pair of electrons in \({\rm I}_3^ -\) ion is

Which of the following compounds contain(s) no covalent bond(s)?
KCl, PH3, O2, B2H6, H2SO4

According to molecular orbital theory, which of the following will not be a viable molecule?

At 518oC the rate of decomposition of a sample of gaseous acetaldehyde initially at a pressure of 363 Torr,
was 1.00 Torr s–1 when 5% had reacted and 0.5 Torr s–1 when 33% had reacted. The order of the reaction is

The increasing order of basicity of the following compounds is :

The oxidation states of Cr in [Cr(H2O)6]Cl3, [Cr(C6H6)2] and K2[Cr(CN)2(O)2(O2)(NH3)] respectively are :

Consider the following reaction and statements:
[Co(NH3)4Br2]+ + Br- \(\to\) [Co(NH3)3Br3] + NH3
(I) Two isomers are produced if the reactant complex ion is a cis-isomer
(II) Two isomers are produced if the reactant complex ion is a trans-i...

How long (approximate) should water be electrolysed by passing through 100 amperes current so that the
oxygen released can completely burn 27.66 g of diborane?
(Atomic weight of B = 10.8 u)

The recommended concentration of fluoride ion in drinking water is up to 1 ppm as fluoride ion is required
to make teeth enamel harder by converting [3Ca3 (PO4)2.Ca(OH)2] to

The major product of the following reaction is:

The trans-alkenes are formed by the reduction of alkynes with

Hydrogen peroxide oxidises [Fe(CN)6]4- to [Fe(CN)6]3- in acidic medium but reduces [Fe(CN)6]3- to [Fe(CN)6]4- in alkaline medium. The other products formed are, respectively :

An aqueous solution contains an unknown concentration of Ba2+. When 50 mL of a 1 M solution of Na2SO4 is added, BaSO4 just begins to precipitate. The final volume is 500 mL. The solubility product of BaSO4 is 1 \(\times\) 10–10. What is the...

An alkali is titrated against an acid with methyl orange as indicator, which of the following is a correct combination?

An aqueous solution contains 0.10 M H2S and 0.20 M HCl. If the equilibrium constants for the formation of HS– from H2S is 1.0 \(\times\) 10–7 and that of S2- from HS– ions is 1.2 \(\times\) 10–13 then the concentration of S2- ions in aqueou...

Which of the following salts is the most basic in aqueous solution?

Which of the following are Lewis acids?

The compound that does not produce nitrogen gas by the thermal decomposition is :

When metal ‘M’ is treated with NaOH, a white gelatinous precipitate ‘X’ is obtained, which is soluble in
excess of NaOH. Compound ‘X’ when heated strongly gives an oxide which is used in chromatography as
an adsorbent. The metal ‘M’ is

Which of the following compounds will be suitable for Kjeldahl’s method for nitrogen estimation?

Which type of ‘defect’ has the presence of cations in the interstitial sites?

For 1 molal aqueous solution of the following compounds, which one will show the highest freezing
point?

The ratio of mass percent of C and H of an organic compound (CXHYOZ) is 6 : 1. If one molecule of the above compound (CXHYOZ) contains half as much oxygen as required to burn one molecule of compound CXHY completely to CO2 and H2O. The empi...

Which of the following lines correctly show the temperature dependence of equilibrium constant K, for an
exothermic reaction?

The combustion of benzene(l) gives CO2(g) and H2O(l). Given that heat of combustion of benzene at constant volume is –3263.9 kJ mol–1 at 25oC; heat of combustion (in kJ mol–1) of benzene at constant pressure will be :
(R = 8.314 JK–1 mol–1)...

The length of the projection of the line segment joining the points (5, -1, 4) and (4, -1, 3) on the plane,
x + y + z = 7 is :

If L1 is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L2 is the line of
intersection of the planes x + 2y - z - 3 = 0, 3x - y + 2z - 1 = 0, then the distance of the origin from the
plane, containing the...

If the curves y2 = 6x, 9x2 + by2 = 16 intersect each other at right angles, then the value of b is :

Let \(f\left( x \right) = {x^2} + {1 \over {{x^2}}}\) and \(g\left( x \right) = x - {1 \over x}\),
\(x \in R - \left\{ { - 1,0,1} \right\}\).
If \(h\left( x \right) = {{f\left( x \right)} \over {g\left( x \right)}}\), then the local minimu...

Let g(x) = cosx2, f(x) = \(\sqrt x\) and \(\alpha ,\beta \left( {\alpha < \beta } \right)\) be the roots of the quadratic equation 18x2 - 9\(\pi\)x + \({\pi ^2}\) = 0. Then the area (in sq. units) bounded by the curve
y = (gof)(x) and th...

The sum of the co-efficients of all odd degree terms in the expansion of
\({\left( {x + \sqrt {{x^3} - 1} } \right)^5} + {\left( {x - \sqrt {{x^3} - 1} } \right)^5}\), \(\left( {x > 1} \right)\) is

If the tangent at (1, 7) to the curve x2 = y - 6
touches the circle x2 + y2 + 16x + 12y + c = 0, then the value of c is :

If \(\alpha ,\beta \in C\) are the distinct roots of the equation
x2 - x + 1 = 0, then \({\alpha ^{101}} + {\beta ^{107}}\) is equal to :

The value of \(\int\limits_{ - \pi /2}^{\pi /2} {{{{{\sin }^2}x} \over {1 + {2^x}}}} dx\) is

Let y = y(x) be the solution of the differential equation
\(\sin x{{dy} \over {dx}} + y\cos x = 4x\), \(x \in \left( {0,\pi } \right)\).
If \(y\left( {{\pi \over 2}} \right) = 0\), then \(y\left( {{\pi \over 6}} \right)\) is equal to :

PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles
of elevation of the top of the tower at P, Q and R are respectively 45\(^\circ\), 30\(^\circ\) and 30\(^\circ\), then the height of ...

Tangents are drawn to the hyperbola 4x2 - y2 = 36 at the points P and Q.
If these tangents intersect at the
point T(0, 3) then the area (in sq. units) of \(\Delta\)PTQ is :

The integral
\(\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x{{\cos }^2}x + {{\cos }^5}x} \right)}^2}}}} dx\)
is equal to

For each t \(\in R\), let [t] be the greatest integer less than or equal to t.
Then $$\mathop {\lim }\limits_{x \to {0^ + }} x\left( {\left[ {{1 \over x}} \right] + \left[ {{2 \over x}} \right] + ..... + \left[ {{{15} \over x}} \right]} \r...

Let S = { t \(\in R:f(x) = \left| {x - \pi } \right|.\left( {{e^{\left| x \right|}} - 1} \right)\)\(\sin \left| x \right|\) is not differentiable at t}, then the set S is equal to

The Boolean expression
\(\sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)\) is equvalent to :

If \(\left| {\matrix{ {x - 4} & {2x} & {2x} \cr {2x} & {x - 4} & {2x} \cr {2x} & {2x} & {x - 4} \cr } } \right| = \left( {A + Bx} \right){\left( {x - A} \right)^2}\)
then the ordered pair (A, B) is equal to :

If the system of linear equations
x + ky + 3z = 0
3x + ky - 2z = 0
2x + 4y - 3z = 0
has a non-zero solution (x, y, z), then \({{xz} \over {{y^2}}}\) is equal to

Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the
parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and \(\angle\)CPB =
\(\theta\), then a v...

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and
arranged in a row on a shelf so that the dictionary is always in the middle. The number of such
arrangements is :