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51.

Compound A will be : A. B. C. D.

Answer» Correct Answer - B
52.

Select the correct optionA. Entropy is function of temperature and also entropy change is function of temperature.B. Entropy is a function of temperature & entropy change is not a function of temperature.C. Entropy is not a function of temperature & entropy change is a function of temperatureD. Both entropy & entropy change are not a function of temperature

Answer» Correct Answer - A
53.

A compound (A , `B_3N_3H_3Cl_3`) reacts with `LiBH_4` to form inorganic benzene (B). (A) reacts with (C) to form `B_3N_3H_3(CH_3)_3`. (B) and (C) are respectivelyA. Boron nitride, MeMgBRB. Boron nitride, MeBrC. Borazine, MeBrD. Borazine, MeMgBr

Answer» Correct Answer - D
54.

The reaction of `H_(3)N_(3)B_(3)Cl_(3)(A)` with `LiBH_(4)` in tetrahydrofuran gives inorganic benzene (B). Further, the reaction of (A) with (C) leads of `H_(3)N_(3)B_(3)(Me)_(3)`. Compounds (B) and (C) respectively , are :A. Boran nitride and MeBrB. Diborane and MeMgBrC. Borazine and MeBrD. Borazine and MeMgBr

Answer» Correct Answer - D
55.

Calculated the mass of `FeSO_(4).7H_(2)O`, which must be added in 100 kg of wheat to get 10 PPM of Fe.

Answer» Correct Answer - 4.96 g
56.

Number of chiral centres in Pencillin is

Answer» Correct Answer - 3
57.

Monomer(s) of which of the given polymer is chiral?A. Buna-SB. NeopreneC. Nylon-6,6D. PHBV

Answer» Correct Answer - D
58.

Number of chiral centers in chloramphenicol is :

Answer» Correct Answer - B
59.

`(p to q) wedge (q to -p)` is equivalent toA. `-p`B. pC. `p wedge q`D. `p vee q`

Answer» Correct Answer - A
60.

If `g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5` then find `f((5)/(4))`A. `3/2`B. `-(3)/(2)`C. `1/2`D. `-(1)/(2)`

Answer» Correct Answer - D
61.

An unbaised coin is thrown 5 times. Let X be a random variable and k be the value of assigned to X for k=3,4,5 times Head occurs consecutively and otherwise the value of X is assigned -1. What is value of expection.A. `1/8`B. `-3/16`C. `-(1)/(8)`D. `(3)/(16)`

Answer» Correct Answer - A
62.

`(p to q) wedge (q to -p)` is equivalent toA. qB. `~q`C. pD. `~p`

Answer» Correct Answer - D
63.

For the following reactions where, `z^(-) = CH_3CH_2O^(-) (A) or H_3Coverset(CH_3)underset(CH_3)C-O^(-) (B)``k_(s) and k_(e)`, are, respectively, the rate constants for substitution and elimination, and `mu=(k_(s))/(k_(e))`, the correct option is __________.A. `mu_(B) gt mu_(A) and k_(e)(A) gt k_(e)(B)`B. `mu_(A) gt mu_(B) and k_(e)(A) gt k_(e)(B)`C. `mu_(A) gt mu_(B) and k_(e)(B) gt k_(e)(A)`D. `mu_(B) gt mu_(A) and k_(e)(B) gt k_(e)(A)`

Answer» Correct Answer - 3
64.

Consider the following reactions The compound [P] is :A. B. C. D.

Answer» Correct Answer - c
65.

It the `10^(th)` term of an A. P. is `1/20` and its `20^(th)` term is `1/10,` then the sum of its first 200 terms is :A. 50B. `100(1)/(2)`C. 100D. `50(1)/(4)`

Answer» Correct Answer - B
66.

In which compound C–Cl bond length is shortestA. `Cl-CH=CH-OCH_(3)`B. `Cl-CH=CH-NO_(2)`C. `Cl-CH=CH_(2)`D. `Cl-CH=CH-CH_(3)`

Answer» Correct Answer - B
67.

Which of the following reaction will not form racemic mixture as product?A. B. C. D.

Answer» Correct Answer - B
68.

Which of the following is tautologyA. `p vv (~q) rarr (p ^^ q)`B. `~(p^^~q) rarr p vvq`C. `~(pvv~q) rarr p^^q`D. `~(pvv~q) rarr pvvq`

Answer» Correct Answer - D
69.

Let `F:R to R` be such that F for all `x in R` `(2^(1+x)+2^(1-x)), F(x) and (3^(x)+3^(-x))` are in A.P., then the minimum value of F(x) is:A. 4B. 0C. 2D. 3

Answer» Correct Answer - D
70.

Which of the following is tautologyA. `P wedge (p vee Q) `B. `P vee (P wedge Q) `C. `Q to (P wedge (P to Q))`D. `(P wedge (P to Q)) to Q`

Answer» Correct Answer - D
71.

The shortest distance between line `(x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and` `(x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is`A. 3B. `3sqrt30`C. `(7)/(2)sqrt30`D. `2sqrt30`

Answer» Correct Answer - B
72.

In which compound C–Cl bond length is shortestA. `Cl - CH=CH_2`B. `Cl–CH=CH–CH_3`C. `Cl–CH=CH–OCH_3`D. `Cl–CH=CH–NO_2`

Answer» Correct Answer - D
73.

Given complex `[Co(NH_3)_4Cl_2]`. In it if `Cl – Co – Cl` bond angle is `90^@` then it is :A. meridional and transB. trans onlyC. cis onlyD. cis and trans

Answer» Correct Answer - 3
74.

If `vec a,vec b , vec c` are unit vectors such that `veca + vec b+ vecc = 0`and `lambda = veca.vecb + vecb.vecc+vecc.veca `and `d = veca xx vecb + vecb xx vecc + vecc xx veca`, then `(lambda,vecd)` isA. `(-(3)/(2), 3veccxxvecb)`B. `((3)/(2), 3vecaxxvecc)`C. `((3)/(2), 3vecbxxvecc)`D. `(-(3)/(2), 3vecaxxvecb)`

Answer» Correct Answer - `D`
75.

The value of `alpha` for which `4alphaint_(-1)^(2)e^(-alpha|x|)dx=5` is :A. `log_(e)2`B. `log_(e)((3)/(2))`C. `log_(e)((4)/(3))`D. `log_(e)sqrt(2)`

Answer» Correct Answer - `A`
76.

Metal with low melting point containing impurities of high melting point can be purified byA. liquationB. vapour phase refiningC. distillationD. zone refining

Answer» Correct Answer - 1
77.

If `| (z - i)/(z + 2i)| = 1, |z| = 5/2` then the value of `|z + 3i|`A. `15/4`B. `2sqrt3`C. `7/2`D. `sqrt(10)`

Answer» Correct Answer - C
78.

`2^(1/4). 4^(1/16). 8^(1/48) .........oo =`A. `2^(1/2)`B. `2`C. `1`D. `2^(1/2)`

Answer» Correct Answer - A
79.

If the magnetic field in plane electromagnetic was is given by ` vecB = 3 xx 10 ^( -8 ) sin ( 1.6 xx 10 ^( 3 ) x + 48 xx 10 ^( 10 ) t ) hatj T`, then what will be expression for electric field ?A. ` vec E = ( 3 xx 10 ^( - 8 ) sin ( 1.6 xx 1 0 ^(3) x + 48 xx 10 ^( 10) t ) hati V//m) `B. ` vec E = ( 9 sin (1.6 xx 10 ^( - 3) x + 48 xx 10 ^( 10 ) t ) hatk V//m) `C. ` vecE = ( 3xx 10 ^( - 8 ) sin ( 1.6 xx 10 ^( 3 ) x + 48 xx 10 ^( 10 ) t ) hatj V//m) `D. `vecE = ( 60 sin (1.6 xx 10 ^( 3 ) x + 48 xx 10 ^( 10 ) t ) hatk V //m) `

Answer» Correct Answer - B
80.

If the magnetic field in plane electromagnetic was is given by ` vecB = 3 xx 10 ^( -8 ) sin ( 1.6 xx 10 ^( 3 ) x + 48 xx 10 ^( 10 ) t ) hatj T`, then what will be expression for electric field ?A. ` vec E = ( 3 xx 10 ^( - 8 ) sin ( 1.6 xx 1 0 ^(3) x + 48 xx 10 ^( 10) t ) hati V//m) `B. ` vec E = ( 9 sin (1.6 xx 10 ^( - 3) x + 48 xx 10 ^( 10 ) t ) hatk V//m) `C. ` vecE = ( 3xx 10 ^( - 8 ) sin ( 1.6 xx 10 ^( 3 ) x + 48 xx 10 ^( 10 ) t ) hatj V//m) `D. `vecE = ( 60 sin (1.6 xx 10 ^( 3 ) x + 48 xx 10 ^( 10 ) t ) hatk V //m) `

Answer» Correct Answer - B
81.

Let `|veca| = 3, |vecb| = 5, vecb.vecc= 10`, angle between `vecb` and `vecc` equal to `pi/3`. If `veca` is perpendicular `vecb xx vecc` then find the value of `|veca xx (vecb xx vecc)| `

Answer» Correct Answer - 30
82.

If minimum value of term free from `x` for `(x/(sintheta) + 1/(xcostheta))^(16)` is `L_1` in `[pi/8,pi/4]` and `L_2` in `[pi/16,pi/8]`, then `L_2/L_1`

Answer» Correct Answer - 16
83.

Which of the following reactions are possible ?A. (a) and (d)B. (b), (c) and (d)C. (a) and (b)D. (b) and (d)

Answer» Correct Answer - D
84.

Let P be a point on `x^2 = 4y`. The segment joining `A (0,-1)` and P is divided by point Q in the ratio 1:2,then locus of point Q isA. `4x^(2)-3y=2`B. `9x^(2)-3y=2`C. `x^(2)-3y=2`D. `9x^(2)-12y=8`

Answer» Correct Answer - D
85.

If maximum value of `.^19 C_p is a, .^20 C_q is b, .^21 C_r is c`, then relation between a, b, c isA. ` (a)/(11)= (b)/(22) =(c)/(42)`B. ` (a)/(11)=(b)/(22)=(c)/(21)`C. ` (a)/(10) =(b)/(11)=(c)/(21)`D. ` (a)/(10) =(b)/(11)= (c)/(42)`

Answer» Correct Answer - A
86.

Amongs the following which is redox reaction ?A. formation of ozone from atmospheric oxygen in the presence of sunlightB. reaction of `H_(2)SO_(4)` with `NaOH` reaction of `[Co(H_(2)O)_(6)]Cl_(3)` with `AgNO_(3)`C. combination of dinitrogen with dioxygen at 2000 KD.

Answer» Correct Answer - C
87.

An urn contains 5 red marbels,4 black marbels and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that most three them are red is _________

Answer» Correct Answer - 504
88.

A telescope has magnification 5 and length of tube 60cm then the focal length of eye piece is–A. 10cmB. 40cmC. 30cmD. 20cm

Answer» Correct Answer - 1
89.

If relative permittivity and relative permeability of a medium are 3 and `4/3` respectively. the critical angle for this medium is.A. `30^(@)`B. `60^(@)`C. `45^(@)`D. `15^(@)`

Answer» Correct Answer - 1
90.

Which graph correctly represents variation between relaxation time (t) of gas molecules with absolute temperature of gas T.A. B. C. D.

Answer» Correct Answer - 2
91.

A gas undergoes expansion according to the following graph. Calculate work done by the gas

Answer» Correct Answer - 48 J
92.

Find the integration `int dx /((x - 3)^(6/7)(x + 4)^(8/7) =`A. `((x-3)/(x+4))^(1/7)+C `B. `-((x-3)/(x+4))^(1/7)+C `C. `1/2((x-3)/(x+4))^(3/7)+C `D. `-1/(13)((x-3)/(x+4))^((-13)/7)+C `

Answer» Correct Answer - A
93.

A sphere of 10cm radius has a uniform thickness of ice around it. Ice is melting at rate `50 cm^3//min` when thickness is 5cm then rate of change of thicknessA. `5/(6pi)`B. `1/(36pi)`C. `1/(18pi)`D. `1/(54pi)`

Answer» Correct Answer - C
94.

Which of the following options is correct ?A. (A) Lactose (B) Glucose (C) AlbuminB. (A)Lactose (B)Glucose (C)AlanineC. (A)Lactose (B) Fructose (C) AlanineD. (A) Glucose (B) Sucrose (C) Albumin

Answer» Correct Answer - A
95.

`E_(Cu^(2+)//Cu)^(@)=0.34V` `E_(Cu^(+)//Cu)^(@)=0.522V` `E_(Cu^(2+)//Cu^(+))^(@)=`A. 0.158B. -0.158C. 1.182D. -0.182

Answer» Correct Answer - A
96.

If `Q(5/3,7/3,17,3)` is foot of perpendicular drawn from `P(1, 0, 3)` on a line L and if line L is passing through `(alpha, 7, 1)`, then value of `alpha` is

Answer» Correct Answer - `4`
97.

Let `int (cos x dx)/(sin^3 x (1 + sin^6 x))^(2/3) = f(x), (1 + sin^6 x )^(1/lambda) + C` then find the value of `lambda f(pi/3)`A. ` (9)/(8) `B. `-2`C. `-(9)/(8)`D. `2`

Answer» Correct Answer - B
98.

If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + `lambda`z = `mu` has more than two solutions. Find `(mu -lambda^ )`

Answer» Correct Answer - `13`
99.

`f(x) = (8^(2x) - 8^(-2x))/(8^(2x) + 8^(-2x)` find the inverse of the functionA. `(1)/(4)(log_(g)e)log_(e)((1+x)/(1-x))`B. `(1)/(4)(log_(g)e)log_(e)((1-x)/(1+x))`C. `(1)/(4)log_(e)((1-x)/(1+x))`D. `(1)/(4)log_(8)((1+x)/(1-x))`

Answer» Correct Answer - D
100.

Output at terminal Y of given logic circuit. A. toggles between 0 and 1B. will not executeC. 1D. 0

Answer» Correct Answer - D