Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

51.

Which of the following numbers are non positive.A. `5^(log_(11)7)-7_(log_(11)5)`B. `log_(3)(sqrt(7)-2)`C. `log_(7)((1)/(2))^(-1//2)`D. `log_(sqrt(2)-1) (sqrt(2)+1)/(sqrt(2)-1)`

Answer» Correct Answer - A::B::D
52.

The solution of the inequation `4^(-x+0.5)-7.2^(-x) < 4,x in R` isA. `(-2, oo)`B. `(2, oo)`C. `(-oo, -2)`D. `(-oo, 2)`

Answer» Correct Answer - A
53.

A relation `R_(1)` is defined on `RxxR rarr RxxR` by `(a, b)R_(1)(c, d) implies a+b+c+d` is positive. How many statements `S_(1), S_(2), S_(3), S_(4)` are CORRECT ? `S_(1)` : Relation is Reflexive but not Symmetric `S_(2)` :, Relation is Symmetric but not Transitive `S_(3)` : Relation is Transitive but not Symmetric `S_(4)` : Relation is EquivalenceA. `0`B. `1`C. `2`D. `4`

Answer» Correct Answer - B
54.

What could be the product(s) for the following `S_(N^(1))` reaction? A. `i,ii`B. `i,iii`C. `iii,iv`D. `ii,iii`

Answer» Correct Answer - A
55.

In the given circuit switch `S_(2)` is Kept closed and `S_(1)` is kept open for a very long time such that the system is in steady- state . Now `S_(1)` is also slosed keeping `S_(2)` closed. Current passing through inductor L time after `S_(1)` is closed , is :A. `(epsilon)/(3R)`B. `(4epsilon)/(3R)`C. `(epsilon)/(2R)`D. `(epsilon)/(R)`

Answer» Correct Answer - B
56.

In which of the following cases, the potential energy of the given particles decreases (under the given condition)A. two proton are moving towards each otherB. one proton and one electron are moving away from each otherC. one proton and one electron move towards each otherD. two electrons are moving towards each other

Answer» Correct Answer - C
57.

Which concentration term is temperature independent ?A. MolarityB. `% w//v`C. `% v//v`D. Oleum labelling

Answer» Correct Answer - D
58.

The maximum volume at STP is occupied byA. `12.8` gram `SO_(2)`B. `0.5` mole of `NO_(2)`C. `6.023xx10^(22) "molecules of" CH_(4)`D. `1 "gram molecules of" CO_(2)`

Answer» Correct Answer - D
59.

A cuboid of height 10 cm, width 5 cm and 8 kg is kept on a rough horizontal ground as shown . The ground is so rough that we can assume that the questions indicated below. A boy applies a horizontal force F at the top edge of the cuboid. What is the friction force exerted by the ground in the previous question ?A. `2N to `B. `20 N larr`C. `4N to `D. `13.12 N larr`

Answer» Answer:
`F-f =ma_(cx)=mh/2 alpha`
`20-f=8xx1/20xx60`
`f=4N to `
60.

If we take two 1 litre flasks, one containing He at STP and other containing `CH_(4)` at STP [Assume size of `CH_(4)` is much larger than He ]A. Mean free path of He gas will be more than `CH_(4)` gasB. Average velocity of He gas will be more than `CH_(4)` gas.C. Total translational kinectic energy of `CH_(4)` will be more than He.D. Most probable speed of He will be more than `CH_(4) (g)`

Answer» Correct Answer - A::B::D
61.

Which of the following is/are stronger-I group than `-OCH_(3)`A. `-NH_(2)`B. C. D. `-F`

Answer» Correct Answer - B::D
62.

How many P- P - P angle are present in `P_(4)` molecule ?A. 8B. 12C. 6D. 10

Answer» Correct Answer - B
63.

Calculate the half life period of a radioactive substance if its activity drops to `1/16` th of its initial value in 30 years.A. 7.5 yearB. 75 trsC. 7.5 dayD. 75 month

Answer» Correct Answer - A
64.

Which mentioned bond has highest `C-H` bond dissociation energy. A. 1B. 2C. 3D. 4

Answer» Correct Answer - A
65.

In which molecule `C-N` bond length is maximum ?A. B. C. D.

Answer» Correct Answer - D
66.

Given 0.158 mol of acidified Aluminium dichromate will oxidise how many moles of `Fe_(0.93)O_(1.00)`?A. 1.2B. 3.6C. 2.4D. 5.4

Answer» Correct Answer - B
67.

Calculate `DeltaH` for the reaction - Cyclopropane (g) Given : `{:("Bond","Bond enthalpy"),("(C-C)",330 k//J" mol"),("(C-H)",410 k//J" mol"),("(H-H)",440kJ//" mol"):}`A. `-50k//J mol`B. `50k//Jmol`C. `360k//Jmol`D. `-360k//Jmol`

Answer» Correct Answer - A
68.

In correct statement about given carbohydrate is A. Above compound is a reducing sugarB. Above compound undergo mutarotationC. Above compound is a non-reducing sugarD. Above compound has a glycosidic linkag

Answer» Correct Answer - C
69.

Correct statement about I and II A. I is reducing sugarB. II is reducing sugarC. I & II both are reducing sugarD. None of the two is reducing sugar

Answer» Correct Answer - C
70.

Which of the following is formed by condensation polymerisation.A. Nylon-66B. TeryleneC. BakeliteD. All of these

Answer» Correct Answer - D
71.

If `|z-1|+|z+3|le8,` then the maximum, value of `|z-4| is =`A. (0,7)B. (1,8)C. [1,9]D. [2,5]

Answer» Correct Answer - C
72.

A balloon is moving along with constant upward acceleration of `1 m//s^2`. A stone is thrown from the balloon downwards with speed `10 m//s` with respect to the balloon. At the time of projectile balloon is at height `120 m` from the ground and is moving with speed `20 m//s`. Find the time required to fall on the ground by the stone after the projection. A. 4sec.B. 5sec.C. 6sec.D. None of these

Answer» Correct Answer - C
73.

Tritium is an isotope of hydrogen whose nucleus Triton contains 2 neutrons and 1 proton free neutrons decay into `p+overline(e)+overline(v)` if one of the neutrons in triton decays, it would transform into a `He^(3)` nucleus. This does not happen because.A. Triton energy is less than that of a `He^(3)` nucleus.B. The electron created in the beta decay process cannot remain in the nucleus.C. Both the neutrons in tritono have to decay simultaneously resulting in a nucleus with 3 protons, which is not a `He^(3)` nucleus.D. Because free neutrons decay due to external perturbations which is absent in a triton nucleus.

Answer» Correct Answer - A
74.

Three musicians experiment with the Doppler affect . Musician A rides in a car at a speed u directly away from musician B who is stationary . Musician C redes in a car directly toward B and travels at the same speed as A. Musician A plays a note at frequency `f_(A)` on his trumpet . B hears the note , adjusts his trumpet , and plays the same note he heard. A. The note heard by C coming from B will be the same pitch as `f_A)`.B. note heard by a coming from b will be higher in pitch than `f_(A)`.C. The note heard by A coming from B will be in pitch than `f_(A)`.D. The note heard by B coming from A will be lower in pitch than `f_(A)`.

Answer» Correct Answer - A::C::D
75.

The curve defined by `sqrt((x)/(a))+sqrt((y)/(b))=1` gives a part of parabola bounded by rectangle `0lexlea,0leyleb`. That has x - axis as tangent at A(a,0) and y- axis as tangent at B(0.b). On the basis of above information , answer the following questions : The corrdiantes of focus of parabola is -A. `((ab)/(a+b),(ab)/(a+b))`B. `((ab^(2))/(a^(2)+b^(2)),(a^(2)b)/(a^(2)+b^(2)))`C. `((a^(2)b)/(a^(2)+b^(2)),(ab^(2))/(a^(2)+b^(2)))`D. `((a^(2)b^(2))/(a^(2)+b^(2)),(a^(2)b^(2))/(a^(2)+b^(2)))`

Answer» Correct Answer - B
76.

The curve defined by `sqrt((x)/(a))+sqrt((y)/(b))=1` gives a part of parabola bounded by rectangle `0lexlea,0leyleb`. That has x - axis as tangent at A(a,0) and y- axis as tangent at B(0.b). On the basis of above information , answer the following questions : The focus of the parabola divides AB in ratioA. a : bB. b : aC. `a^(2) : b^(2)`D. `b^(2) : a^(2)`

Answer» Correct Answer - C
77.

Let `omega`be a complex number which satisfies `iomega=(u^(2)-1)/(u^(2)+1)` for some suitable complex number u, then value of `tan ^(-1)(omega)` is -.A. lnuB. ilnuC. `-ilnu`D. `lnu`

Answer» Correct Answer - C
78.

Consider curve `y=(1+x)^(y)+sin^(-1)(sin^(2)x)`. Which of the following statements are correct ?A. A Normal to the at x=0 makes equal intercept with axesB. Shortest distance of normal to the curve at `x=0` from origins is `(1)/sqrt(2)`C. Reflection of origin about normal to curve at `x=0` is (1,1)D. One of the angle bisectors between tangent and normal to curve at `x=0` coincides with the axes of corrdinates.

Answer» Correct Answer - A::B::C::D
79.

A transversal cuts side AB and AD and diagonal AC of parallelogram ABCD in points P,Q and R respectively such that AP: PB =1 :2 and AQ: QD=2:3 . Find the ratio AR : RC A. `(7)/(2)`B. `(3)/(7)`C. `(2)/(7)`D. `(2)/(9)`

Answer» Correct Answer - D
80.

If the function `f(x)={{:((1+cospix)/(pi^(2)(x+1)^(2)),",",xlt-1),(ax+b,",",-1lexle1"is continuous" AA x "in R, then the value of 3a-bis-"),((x-1)/(lnsqrt(x)),",",xgt1):}`A. 3B. 1C. `-1`D. `-3`

Answer» Correct Answer - B
81.

If the length of perpendicular from (0,0,0) to the plane ax+by+cz+d=0 where a,b,c,d are in A.P.and `0ltaltd` is 1 units then the value of `(c-a)/(b)`isA. `sqrt(8)+2`B. `-sqrt(8)-2`C. `-sqrt(8)+2`D. `sqrt(8)-2`

Answer» Correct Answer - D
82.

number of solutions for x between 3 and 15 if `int_(0)^(x)[t]dt=int_(0)^([x])` tdt where [.] represents greatest integer function is -A. 11B. 12C. 13D. Infinitely many

Answer» Correct Answer - B
83.

Suppose `y=f(x)andy=g(x)` are two functions whose graph intersect at three points (0.4), (2,2) and (4.0), with `f(x)gtg(x)" for "0ltxlt2 and f(x)ltg(x)" for " 2ltxlt4.` if `int_(0)^(4)(f(x)-g(x))dx=10 and int_(2)^(4)[g(x)-f(x)]dx=5`. If areas between two curves for `0ltxlt2` is `A_(1)` and area between two curves for `0ltxlt4` is ` A_(2)`, then -A. `A_(1)=5`B. `A_(1)=15`C. `A_(2)=10`D. `A_(2)=20`

Answer» Correct Answer - B::D
84.

(A) I & II are chain isomers (B) I & III are functional isomers (C ) III & IV are metamers (D) III & IV are functional isomers Incorrect statement is :A. Only A & BB. Only CC. Only C & DD. Only A & C

Answer» Correct Answer - B
85.

Electronegativity is defined as attracting power of sharing pair of electron between covalently bonded atoms. Electronegativity is defined on different scales, F has height electronegativity between all elements. Which of the following oxide is basic in nature ?A. `SiO_(2)`B. `P_(2)O_(5)`C. `MgO`D. `CO_(2)`

Answer» Correct Answer - C
86.

Which of the following statements is incorrect ?A. With the decrease in electrongativity in a group the metallic character increasesB. Small ionization energy value indicates that electropositve character is moreC. Electrongativity does not depend up `Z_("effective")`D. Successive ionization energies always increases for an element .

Answer» Correct Answer - C
87.

Which of the following species are planar and having dipole moment zero ?A. `XeF_(2)`B. `[T(CN)_(2)]^(Θ)`C. `ClF_(3)`D.

Answer» Correct Answer - A::B::D
88.

Which of th efollowing is/are incorrect for an ideal gas :A. All the molecules of a gas at given temprature have same kinetic energyB. Average knietic energy of a sample of gas molecules is proportional to `m^(1//2)`C. Average kinetic energy of a molecule is proportional to mD. A sample of `O_(2) (g)` initially at STP is compressed to a smaller volume at constant temperatue will increase average kinetic energy of a molecule.

Answer» Correct Answer - A::B::C::D
89.

The IUPAC name of isA. N-cyclohexylbenzneB. N-Phenyl-N-cyclohexyl methanamideC. N-PhenylcyclohexanecarboxamideD. N-cyclohexyl-N-phenyl methyl amide

Answer» Correct Answer - C
90.

Which of the following is an optically inactive compound?A. B. Cis-1,2-dimethylcyclohexaneC. D.

Answer» Correct Answer - B
91.

Which one of the following is not a surfactant?A. `H_(3)C-(CH_(2))_(15)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(N^(+))-CH_(3)Br^(ɵ)`B. `H_(3)C-(CH_(2))_(14)-NH_(2)`C. `H_(3)C-(CH_(2))_(16)-CH_(2)OSO_(2)^(ɵ)Na^(o+)`D. `OHC-(CH_(2))_(15)-COO^(ɵ)Na^(o+)`

Answer» Correct Answer - B
92.

The gas leaked from a stronge tank of the Union Carbide plant in Bhopal gas tragedy wasA. AmmoniaB. PhosgeneC. Methyl isocynateD. Methyl amine.

Answer» Correct Answer - C