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601.

Consider the following carbanions: Correct decreasing order of stability is :A. Both ‘A’ and ‘B’ belong to group-1 where ‘A’ comes below ‘B’.B. Both ‘A’ and ‘B’ belong to group-2 where ‘A’ comes below ‘B’.C. Both ‘A’ and ‘B’ belong to group-1 where ‘B’ comes below ‘A’.D. Both ‘A’ and ‘B’ belong to group-2 where ‘B’ comes below ‘A’.

Answer» Correct Answer - D
602.

A mixture containing the following four compounds is extracted with 1 M HCl. The compound that goes to aqueous layer is : A. IVB. IIC. ID. III

Answer» Correct Answer - B
603.

A mixture containing the following four compounds is extracted with 1 M HCl. The compound that goes to aqueous layer is : A. IVB. IIC. ID. III

Answer» Correct Answer - B
604.

Consider the following ionization enthalpies of two elements ‘A’ and ‘B’. Which of the following statements is correct?A. Both ‘A’ and ‘B’ belong to group-1 where ‘A’ comes below ‘B’.B. Both ‘A’ and ‘B’ belong to group-2 where ‘A’ comes below ‘B’.C. Both ‘A’ and ‘B’ belong to group-1 where ‘B’ comes below ‘A’.D. Both ‘A’ and ‘B’ belong to group-2 where ‘B’ comes below ‘A’.

Answer» Correct Answer - D
605.

The coagulating power of electrolytes having inos `Na^(o+),Al^(3+)` and `Ba^(2+)` for arsenic sulphide sol increases in the orderA. `Na^(+)ltBa^(2+)ltAl^(3+)`B. `Ba^(2+)ltNa^(2+)ltAl^(3+)`C. `Al^(3+)ltNa^(+)ltBa^(2+)`D. `Al^(3+)ltBa^(2+)ltNa^(+)`

Answer» Correct Answer - A
606.

A jar filled with two non-mixing liquid 1 and 2 having densities `rho_(1)` and `rho_(2)` respectively. A solid ball, made of a material of density `rho_(3)` is dropped in the jar. It come to equilibrium in the position shown in the figure. Which of the following is true for `rho_(1),rho_(2)` and `rho_(3)`?A. `rho_(3) lt rho_(1) lt rho_(2)`B. `rho_(1) lt rho_(3) lt rho_(2)`C. `rho_(1) lt rho_(2) lt rho_(3)`D. `rho_(1) lt rho_(3) lt rho_(2)`

Answer» Correct Answer - D
607.

The standard enthalpy of formation of `NH_(3)` is `-46.0KJ mol^(-1)` . If the enthalpy of formation of `H_(2)` from its atoms is `-436KJ mol^(-1)` and that of `N_(2)` is `-712KJ mol^(-1)` , the average bond enthalpy of `N-H` bond in `NH_(3)` isA. `-964" kJ mol"^(-1)`B. `+352" kJ mol"^(-1)`C. `+1056"kJ mol"^(-1)`D. `-1102"kJ mol"^(-1)`

Answer» Correct Answer - B
608.

1 litre of a gas at STP is expanded adiabatically to 3 litre. Find work done by the gas. Given `gamma` = 1.40 and` 3^(1.4)= 4.65 `A. 100.8JB. 90.5JC. 45JD. 18J

Answer» Correct Answer - B
609.

A particle moves in space such that its position vector varies as `vec(r)=2thati+3t^(2)hatj`. If mass of particle is 2 kg then angular momentum of particle about origin at `t=2` sec isA. `12hatk`B. `48hatk`C. `36hatk`D. `24hatk`

Answer» Correct Answer - B
610.

A nucleus of mass `M + Deltam` is at rest and decays into two daughter nuclei of equal mass `M/2` each. Speed of light is C. The speed of deughter nuclei is :-A. `c(Deltam)/(M+Deltam)`B. `csqrt((2Deltam)/(M))`C. `csqrt((Deltam)/(M))`D. `csqrt((Deltam)/(M+Deltam))`

Answer» Correct Answer - B
611.

A radiaoactive nucleus (initial mass number `A` and atomic number `Z` emits `3 alpha`- particles and 2 positrons The ratio of number of neutrons to that of proton in the final nucleus will beA. `(A-Z-8)/(Z-4)`B. `(A-Z-4)/(Z-8)`C. `(A-Z-12)/(Z-4)`D. `(A-Z-4)/(Z-2)`

Answer» Correct Answer - B
612.

The combination of gates shown below yields A. OR gateB. NOT gateC. XOR gateD. NAND gate

Answer» Correct Answer - A
613.

A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field `vecE` at the centre O is A. `(q)/(4pi^(2)epsilon_(0)r^(2))hatj`B. `-(q)/(4pi^(2)epsilon_(0)r^(2))hatj`C. `-(q)/(2pi^(2)epsilon_(0)r^(2))hatj`D. `(q)/(2pi^(2)epsilon_(0)r^(2))hatj`

Answer» Correct Answer - C
614.

A uniformly charged solid shpere fo radius `R` has potential `V_(0)` (measured with respect to `oo`) on its surface. For this sphere the equipotentail surfaces with potentials `(3V_(0))/(2) , (5 V_(0))/(4), (3V_(0))/(4)` and `(V_(0))/(4)` have radius `R_(1), R_(2), R_(3)` and `R_(4)` respecatively. ThenA. `R_(1) ne 0 and (R_(2) - R_(1)) gt (R_(4) - R_(3))`B. `R_(1) = 0 and R_(2) lt (R_(4) - R_(3))`C. `2R lt R_(4)`D. `R_(1) = 0 and R_(2) gt (R_(4) - R_(3))`

Answer» Correct Answer - B::C
615.

For a simple pendulum, a graph is plotted between itskinetic energy `(KE)` and potential energy `(PE)`against its displacement `d`. Which one of the following represents these correctly? (graph are schematic and not drawn to scale)A. B. C. D.

Answer» Correct Answer - A
616.

In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distance from the centre, The graph which would correspond to the above will be:A. B. C. D.

Answer» Correct Answer - C
617.

Two short bar magnets of length `1cm` each have magnetic moments `1.20 Am^(2) and 1.00 Am^(2)` respectively. They are placed on a horizontal table parallel to each other with their `N` poles pointing towards the south. They have a common magnetic equator and are separted by a distance of `20.0 cm`. The value of the resultant horizontal magnetic induction at the mid - point `O` of the line joining their centres is close to (Horizontal component of earths magnetic induction is `3.6 xx 10.5 Wh//m^(2)`A. `2.56xx10^(-4)Wb//m^(2)`B. `3.50xx10^(-4)Wb//m^(2)`C. `5.80xx10^(-4)Wb//m^(2)`D. `3.6xx10^(-4)Wb//m^(2)`

Answer» Correct Answer - A
618.

The correct nucleophilicity order of given species A. `agtdgtbgtc`B. `dgtagtbgtc`C. `cgtagtbgtd`D. `bgtagtcgtd`

Answer» Correct Answer - B
619.

Which of the following is incorrect for `Rf`?A. `Rf` value depends on the type of chromatographyB. Value of `Rf` is always between `0` to `1`C. Greater the adsorption, greater will be `Rf` valueD. `Rf` is independent of mobile carrier

Answer» Correct Answer - C
620.

Maximum oxidation state of uranium and plutonium are respectively :A. 4 and 6B. 5 and 6C. 6 and 7D. 6 and 8

Answer» Correct Answer - C
621.

Out of `C_(2),F_(2)O_(2) NO`, Which will be stabilized after forming anion ?A. `C_(2)`B. `F_(2)`C. `O_(2)`D. `NO`

Answer» Correct Answer - A
622.

Consider the graph Identify correct optionA. `DeltaU_(a)=DeltaU_(b),Q_(a)gtQ_(b)`B. `DeltaU_(a)gtDeltaU_(b),Q_(a)=Q_(b)`C. `DeltaU_(a)=DeltaU_(b),Q_(a)ltQ_(b)`D. `DeltaU_(a)ltDeltaU_(b),Q_(a)=Q_(b)`

Answer» Correct Answer - C
623.

Given `a` and `b` values for `Xe,Kr.Ar` and `He` are The gas with highest `T_(c)` isA. `Xe`B. `Kr`C. `Ar`D. `He`

Answer» Correct Answer - B
624.

Surface mass density of disc of mass `m` and radius `R` is `alpha-Kr^(2)`. Then its moment of inertia `w.r.t.` axis of rotation passing through center and perpendicular to the plane of disc is :A. `1=(3)/(2)nR^(2)`B. `1=(4)/(3)nR^(2)`C. `1-(2)/(5)nR^(2)`D. `1-(2)/(3)nR^(2)`

Answer» Correct Answer - D
625.

A beam of ligh incident on a surface has photons each of energy 1 mJ and intensity `25w//cm^(2)`. Find number of photons incident per second if surface area of `25cm^(2)`A. `6.25xx10^(5)s^(-1)`B. `8.25xx10^(5)s^(-1)`C. `6.25xx10^(4)s^(-1)`D. `5.25xx10^(5)s^(1-)`

Answer» Correct Answer - A
626.

`^^_(m)^(@)` for `NaCI,HCI` and `NaA` are `126.4,425.9` and `100.5Scm^2 m ol^(-1)`, respectively. If the conductivity of `0.001 MHA` is `5xx10^(-5)Scm^(-1)`, degree of dissociation of HA is :A. `0.50`B. `0.25`C. `0.125`D. `0.75`

Answer» Correct Answer - A
627.

The pair that does NOT require calcination is :A. `ZnO and MgO`B. `ZnO` and `Fe_2O_3,Xh_2O`C. `ZnCO_3` and `CaO`D. `Fe_2O_3` and `CaCO_3, MgCO_3`

Answer» Correct Answer - A
628.

Two sound sources of frequency `9Hz` and `11Hz` are sounded together then which plot is correct after superposition of sound waves.A. B. C. D.

Answer» Correct Answer - B
629.

The increasing order of the reactivity of the following with `LiAIH_4` is : A. `(B)lt(A)lt(C)lt(D)`B. `(B)lt(A)lt(D)lt(C)`C. `(A)lt(B)lt(D)lt(C)`D. `(A)lt(B)lt(C)lt(D)`

Answer» Correct Answer - A
630.

The major prudct of the following reaction is : A. B. C. D.

Answer» Correct Answer - A
631.

An open vessel at `27^@C` is heated untill two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :A. `500^@C`B. `500K`C. `750^@C`D. `750K`

Answer» Correct Answer - A
632.

Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is : (Atomic wt. of Cl = 35.5 u)A. 1.46B. 0.64C. 1.64D. 0.46

Answer» Correct Answer - D
633.

If a,b,c,d are in G.P., then the value of `(a-c)^2+(b-c)^2+(b-d)^2-(a-d)^2` is (A) `0` (B) `1` (C) `a+d` (D) `a-d`

Answer» a=a
b=ar
c=a`r^2`
d=a`r^3`
According to question
`=(a-ar^2)^2+(ar-ar^2)^2+(ar-ar^3)^2-(a-ar^3)^2`
`=a^2+a^2r^4-2a^2r^2+a^2r^2+a^2r^4-2a^2r^3+a^2r^6-2a^2r^4-2a^2r^3+a^2r^2+a^2r^6-2a^2r^4-a^2-a^2r^6+2a^2r^3`
=0
option A is correct.
634.

A compound `x` gives iodoform test. It reacts with `KMnO_(4)`, which on heating gives anhydride. The anhydride is used in the preparation of phenolphthalein. The compound `x` isA. B. C. D.

Answer» Correct Answer - C
635.

The major product of the given reaction is A. B. C. D.

Answer» Correct Answer - A
636.

A train time table must be compiled for various days of the week, so that two trains twice a day depart for three days, one train daily for two days, and three trains once a day for two days. How many diferent time table can be compiled?

Answer» 1 train 3 days, number 2=>2 days
number 3 train=2
`(7!)/(3!2!2!)`
`(7*6*5*4*3*2)/(3*2*2*2)`
`30*7`
`210`.
637.

What is the least number of soldiers in a regiment, such that they stand in rows of 18, 15 and 25 and also form a solid square?

Answer» LCM(18)=2*3*3
LCM(15)=3*5
LCM(25)=5*5
LCM(18,15,25)=450
2*2*3*3*5*5=900.
638.

A does half as much work as B, and C does half as much work as A and B together. If C alone can finish the work in 40 days, then all together will finish the work in (B) 15 days (A) `13(1/3)` days (D) 30 days (C) 20 days

Answer» Let work done by B in tme(t)=x
Let work done by A in time(t)=x/2
Let the work done C=`1/2(x+x/2)=3/4x`
1 day work of C=1/40
t days work=`t/40=3/4x`
`x=t/30`
`t/60+t/30+t/40`
`(2t+4t+3t)/120`
`3/40t`
t=40/3 days.
639.

What is the smallest natural number n such that n! is divisible by 990

Answer» Factors of `990 = 11**3^2**2**5`
Smallest number `n` such that `n!` is divisible by `11` is `11`.
`11!` is also divisible by `9,2 and 5`.
So, `11!` will have all these factors `11,9,5 and 2`.
So, smallest number that is divisible by `990` is `11!`.
640.

A point moves in the xy-plane such that the sum of its distances from the two mutually perpendicular lines is always equal to 5 units. The area (in square units) enclosed by the locus of the point is

Answer» Here, the point moves in the xy-plane such that the sum of its distances from the two mutually perpendicular lines is always equal to 5 units.
`:. |x|+|y| = 5`
`=>x+y = 5, x-y = 5, -x+y = 5, -x-y = 5`
If we draw these lines on coordinate axis, it will a square of side `5sqrt2(sqrt(5^2+5^2))` units.
Please refer to video to see the square in the diagram.
`:.` Area enclosed = Area of square `= (5sqrt2)^2 = 50` square units
641.

An alpha-particle of mass m suffers `1`-dimentinal eleastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing `64%` of its initial kinetic energy. The mass of the nucleus is :A. 2 mB. 3.5 mC. 1.5 mD. 4 m

Answer» Correct Answer - A
642.

To double the covering range of a TV transmittion tower, its height should be multiplied by :A. `(1)/(sqrt(2))`B. 2C. 4D. `sqrt(2)`

Answer» Correct Answer - A
643.

To double the covering range of a TV transimitter tower, its height should be madeA. `(1)/(sqrt(2))`B. 2C. 4D. `sqrt(2)`

Answer» Correct Answer - A
644.

The argument of the complex number ` sin 6pi/5 + i ( 1 + cos 6pi/5)` is

Answer» `2sin3/5picos3/5pi+i(1+2cos^23/5pi-1)`
`2cos3/5pi[sin3/5pi+icos3/5pi]`
`2cos3/5pi[sin(pi/2+pi/10)+icos(pi/2+pi/10)]`
`2cos3/5pi[cospi/10+isin(-pi/10)]`
`2cos3/5pi[cos(-pi/10)+isin(-pi/10)]`
`-2sinpi/10[cos(-pi/10)+isin(-pi/10)]`
`2sinpi/10[cos(9/10pi)+isin(9/10pi)]`
option 3 is correect.
645.

If x =`log_3(5)` and y =`log_17( 25)`, which one of the following is correct?

Answer» `x=log_3^5`
`y=log_17^25`
`x=log_10^5/log_10^3=0.69/0.47=1.46`
`y=log_10^25/log_10^17=11.39/1.23=1.136`
`x>y`
646.

Let S be a set of all distinct numbers of the form `p/q`, where p, `q in{1, 2, 3, 4, 5, 6}`. What is the cardinality of the set S

Answer» As `1/2,2/4, 3/6 ` are same and `1/1,2/2,3/3,...` are same.
We will find only co-prime numbers.
So, when `p = 1,q = {1,2,3,4,5,6}`
So, total elements in `S` in this case ` = 6`
When `p = 2, q = {1,3,5}`
So, total elements in `S` in this case `= 3`
When `p = 3, q = {1,2,4,5}`
So, total elements in `S` in this case `= 4`
When `p = 4, q = {1,3,5}`
So, total elements in `S` in this case `= 3`
When `p = 5, q = {1,2,3,4,6}`
So, total elements in `S` in this case `= 5`
When `p = 6, q = {1,5}`
So, total elements in `S` in this case `= 2`
So, cardinality of set `S = 6+3+4+3+5+2 = 23`
647.

In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? (A) `770` (B) `385` (C) `1540` (D) `399`

Answer» We can place `21` English books first and then we will place Hindi books between them so that no two Hindi books are together.
So, there are `22` places to store `19` Hindi books.
So, total number of ways doing this `= C(22,19) = (22**21**20)/(3**2**1) = 1540`
648.

A team of 8 players is to be chosen from a group of 12 players. Out of the 8 players one is to be elected as captain and another an, vice-captain. In how many ways can this is done? (A) 27720(B) 13860 (C) 6930 (D) 495

Answer» Number of ways selecting `8` players out of `12` players `= C(12,8)`
Number of ways selecting `1` captain out of `8` selected players `= C(8,1)`
Number of ways selecting `1` vice-captain out of `7` remaining players `= C(7,1)`
So, total number of ways to do all above selection `= C(12,8)**C(8,1)**C(7,1) = (12**11**10**9)/(4**3**2)**8**7 = 495**56 = 27720`
649.

What is the number of ways in which 3holiday travel tickets to be given to 10 employees of an organization, if each employee is eligible for any one or more of the tickets? (b) 120 (a) 60 (d) 1000 (c) 5000

Answer» There can be three cases.
`Case 1:` When all three tickets are given to one employee.
Number of ways in this case ` = C(10,1) = 10`
`Case 2:` When two of the tickets are given to same employee and third ticket is given to another employee.
Number of ways in this case ` = C(10,2)C(3,2)2! = 45*3*2 = 270`
`Case 3:` When all of the tickets are given to different employees.
Number of ways in this case ` = C(10,3)3! = 120*6 = 720`
So, total number of ways in all three cases ` = 10+270+720 = 1000`
650.

The molarity of a solution obtained by mixing `750 mL` of `0.5 (M) HCl` with `250 mL` of `2(M) HCl` will be:A. 1.00 MB. 1. 75 MC. 0.975 MD. 0.875 M

Answer» Correct Answer - D