AUEET 2026 Question Paper Series A

FOR AUEET EXAM PREPARATION

AUEET 2026
Question Paper · Series A
EXAM YEAR TYPE SUBJECT

AUEET 2026 Question Paper Series A

Notes · Sample Papers · Previous Year Papers · Mock Tests

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AUEET - 20?,6
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SPACE gFOR RQUGH WOR4
a TEST NO . 6{ {
"Booklet Series , A

Hall Ticket No. :
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: 7 LIl" 11 Im
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Booklet No.

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Name of the Centre
tr 6 Year B.Tech. + M.Tech. Dual Degree
Programmes in Engineering

Signature of the Invigilator Signature of the Candidate
m
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com m .co INSTRUCTIONS TO CANDIDATE
s em
. e Do not open the booklet tilt you are instructed. la
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g
s g Check your test booklet before answering. Ina case, you find the booklet defective,
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report immediately to the Invigilator and get it replaced with same series test
booklet.
3. Enter your Hall-Ticket No. (in digits), Test Code and Booklet series code on the
OMR sheet and darken the corresponding circles on the OMR Sheet with black ball
pornt pen.
4. The question booklet contains 100 questions for 100 marks to be answered in
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90 minutes.
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5.
comark the choosen answer by darkening the corresponding min
'Choose the correct answ'er from multiple answers given (a, b, c
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and d) for each

.co emsheet. Answers marked in the booklet will not be considered. gla s
question and circle

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the OMR
a marks of
las 6. Ifgyou.write your name or put any special marks of identification or
areligion on any part of the Test Booklet or the OMR Sheet, you will render
ag yourself liable for disqualification.
7. Hand over the oMR sheet to the invigilator at the end of the test.
8. DO NOT TEAR any part of the Booklet. Handover the BOOKLET and the
OMR Sheet to the Invigilator at the end of the test.
***
6 Year B.Tech.+M.Tech. Dual Degree 28 611-A
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l a a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 1 of 14

AUEET .20/26 AUEEJ - 2026
SPACE FqR ROUGH WqRK
Test No. : 6{,1
6 Year B.Tech.+t.Ttich. Dual Dogree Programmes in Englneerlng
Time : 90 Minutes Max. Marks: 100
I PART - A
TATHEilIATICS (4O tarkc)

1. lf f :[0, -; -+ [0, 2] is defined AV f @=#, then /is
2,r
f (x)=;a-
' n" / :[0, -; -+ [0,2] S65.sobal&6, erqpdr / l
I+x
(a) one-one but not onto @) onto, but not one-one
el355il, s"c bo@o s6.l bolXbil, s.c el355o s.6c
(c) both one-one and onto (d) neither one-one nor onto
erS5SSl5J6oLD bogXbhr erts555l s"6c, bo1|[il s.5c

2. The value of the determinant given below is
6€ 6fu5b a,t\b
uo co"655,1aelS

(a) sJi+sJi (b) $Je-:oJz
(c) tsJi-zrJe (d) sJe-zoJ,
3. If the system of equations tr iky+32=0, Bx+ky-22 =0 and 2x+By-42=0
possess a non-trivial solution over the set,of rationals, then * | ! i z=
x + ky + 3z = 0, 3x + ley - 2z = O bJ8obJ2ry+3y -42 =O el3 fsogOea 55b[, elS6eEcU)
boel5 b$r8p a"5 erberp J"65br 508 dod, er5;pdc )c ; ! ; z=
(a) -5 :.3:2 @) -15: 2:-G
(c) 5:3:-4- (d) 6:-5:4
4. rhe value of f [.i" 43*r"o,Y)
17 L7)
t"
;\
i ( n) *s.
17
;\ "rr?tz+i"o"2l
17) e
"*,
(a) 1 (b) -1
(c) i (d) -i
611 -A 6 Year B.Tech.+M.Tech. Dual Degree
6 Year B.Tech.+M.Tech. Dual Degree

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AUEETse.20,26 l a AUEET .20,26
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ag 10. If p and q are the coefficients of xo the expansion of (r+x)z" and (1 -4x7-i,
o. If x+L=zsind, y+!=2cos B,tiner- rsy3+i *-=
x tc'!"
l,l.!.
| | 4' then
r+!=2sin a, y+L=2cosB elou6, er53>6.lr3y3+i
d *=
,c Y xoYo p. b.lOob: g s, 7L+ x)2n broorD (L-+xS-'z ,l.l.I dr56 sbuead r" dr56 tueospd,
(a) 2 cos 3(B-a) (b) 2 cos (3F + 3a)
erbp6r
(d) 2sin}(B+a)
(c) 2sin3(B-a) (a) p=q
o m (b) P=2q
m .c (d) p+4=2nCn
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(c) q=2p
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c. oIf the roots of the equation x2 +2ax+b=0 are real, distinct and differ by at most
s em s
Ax+BlaC- .thenA+B+C=
m ag' x +!'
2x+3 .-"!'"+
s e
2m, then b lies in the interval.
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+t)(x +L) x2 +L
g l a 5$o56eao *2'+2ax'+b=O dl56 iryerer: PEb bo46eu, spbpo 5o6oID fiA$en'
a
1x2

a (5Jf,. eraDd) 2m 35d6"g, er5;pdc b dod ero66o

(a) g
(a) (o2 , o2 + m'2) (b) 1a2 -m2 , o'21 \--l 2

(c) 1a2 - m2 , a21 (d) (o2 **2, o2\ (c) 7z
m
The set of all real numbers t for which x2 -lx+21+ r > 0 is m 'L2.
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7. cosec48o +cosec96' +cosec192" +cosec384' =

(b) 2J5 sem
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c. o
x2 -lx+21*, o 0 erdr5 erc;ar[b boa5er r 5sr8
e m (a) AJB a
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em las (c) o (d) Jragtrl
(a)
as
(--, - 2) rr (2, -) @)
ag
ul "")
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$

(c)
a
(*; -1) (1, (d) [Jz,-J 13. Consider the.following statements :
6t po6 g555a.erbc SSXeEoSo&:
The number of all three digited numbers which have atleast one digit as 7, is
Statement I : sind+Jdqosd)1, 1t +<e<t
Sbbo, e,5 eroBb; 7 n" XOflb ersJ $rdJ eloSer boe5er boal$

(a) 225 (b) 248 r55.55o I: -66
F 3g3L elo.l6 sind+Jdcosd21

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(c) 252 (d) 264
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Statement II : If s-inr, sin2x, sinSr are in A.P., tinen x=T or 2nn , neZ .
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A student has to answer 10 out of 13 questions in an examination such that he
s
1555boII:em ,
sinr sin2x, sinSr euelos@fid6od,el5;pdr *-n' 6e 2nn,
l
neZ.
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laone of the following is .or"".t?
must choose atleast 4 from the first 5 questions. The number of choices available
2

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Which a
la a $o6 ilsd 5a roqraz
to him is

ag
eDde3 5 156pexf Sbbo o-er:fb LSEJo6J a"S f6{d Jobcfsa*,pm e,5 s-5|| 13 15[od
6e
(a) I&IIaretrue @) I&IIarefalse
10 g56per$ asvauerb.: eoJro. el6sB erd5brdlSJoSSer boq)$
" I iJEoID II 565nr I SrSoID II erb655r
(a)' 140 (b) 1e6 (c) I is true, II is false (d) I is false, II is true
"
(c) 246 (d) 280 I b65iu, II er565bl I erb65iu, II bSjnl
.4
om
6 Year B.Tech.+M.Tech. Dual Degree
611 6 Year B.Tech.+M.Tech. Dual Degree 611.A

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AUEET .20,26 AT'EET .2026

18. The value of 'a' for which the volume of the parallelopiped formed by the vectors
14. The number of solutions of the equation cos-1(i-r)-2cos-1 *=! i, t+aj+n, j+ak and ai+k is minimum, is
t+ai+k, i+aE brEoID ai+k b66o$ SUpd fnro66 per5o (Fobo) d,u56 fob bEbreoo
.or-1 (1 - r) 2 cos-1 , =4 b$os6eao 6.u56 #65e1 5o$5
2" Ss$o* Ko'a' d151, swb
(a) 1 (b) 2 (a) Jd (b) 2J3
(c) 3 (d) more than 3 (c) + (d) 3J'
{3
(3 sod J$65)
19. If the median and mode of four observations are 4, 6 respectively and the sum bf
the squares of those observations is 48, then their coefficient of variation is
aer:fu bS8elbel S,r65Xonr: SJOcUD a"i:"c{5b.reu StJcbn" 4, 6 bJSoiD ec 508ebo Sfnr:er
15. In a A,ABC , 1f. the line joining the circumcentre and the incentre is parallel to
6..u56e1Qfu 48 elanr6, e*b;pdr a-c3 cbspo5o
BC. then cosB+cos C=
a"5 gegqbaro LABC ef f0fpq 3o1o.q bJSoJD ero6e 3o1eQ 50?r 6$ BC E biro66orr (a) 100./5 (b)
100
t-
42
100 100
dod, efiydc cosB+cos C= (c) --- (d) ----
{o {3
(a)
1
@)1 20. A box contains 10 mangoes out of which 4 are rotten. Two mangoes are taken out
-2 together from it at random. If one of. them is found to be good, then the
g pro\ability that the other is also good, is
(
t (c) (d) z 10 nrsre bodio SOn +fu e"5 il$ef a"eulfr Sodg i5l.9pi,squo"o:.r. o"c bro& Bo6.l iral8
4
i fp6fu e"3 +6 503 o1r6r€;5om arcUrer$ ega"6J. ;neid e.5e3 iro,r 5o6cn: Sba:&6, br6-g
i

) 16. If the median AD of the triangle ABC ts bisected at E and BE meets AC in F, 5od,r S.r.c" iro.s6 s-t(et bop.b;t6
,}
then AF'AC= (a)
+ &)?
1@qlraso .43C du56 5c65X6o AD, E 5E 55c65 $o6b So:.rar& ir8o5rl AC n tr' 56
(c) (d) 5
BE SerQod, er5;pd.r AF :AC= * 13

21. A box contains lyo compartments X and Y. X contains 3 bags, each containing
(a) 1:4 (b) L:2 5 white and 2 black balls. Y contains. two bags, each containing 1 white and
(c) 1:3 (d) 3:4 4 black balls. One of the bags is selected at random frorn the box. If a ball {s
drawn at yandom from it and found to be black, the probabitity that the selected
ball is from X, is
17: o and. 6 are two unit vectors such that a+26 and 5a-4b-' are perpendicular to e"5 b$ef X brSoID Y el3 Sodc $ql"Xhlo.: (ereoeu) deorr. X ef B bobcet dalanr,

each other, then the angle between o and 6 is i-58 o-edb; 5 @ero 5J8o5D 2 boc alotfuel 6ol*. Y I z bo5;el daXol, 1bo o"cdbr
d+26 br8olp bo-46 o 56536o ooaonD dodu:ec.l o bJ8o5r? b eu6o6c o1rrod5b668e, 1 @oS bJ8o5D 4 $9C aloQ9.:er: dol*. o b* bro& a"5 bo,)s c$rS;e;Son Jo35 3a"6. o'p

bro& a"5 aro8s o5*5;.c;5o* .91tuEcU.D erd Sss6n 55ar&6, Jo35 Sbb aroo X b.ro& b$;
er5;pd.: o 5rEo5D 6 er i.:65 Xer Seao
boay556
(a) 45" (b) 60' (a)
T2 15
@)
43 43
(c) .ort l,!) (d) *,-'(;) (c)
18 21
l3/ 43
(d)
43

6 Year B.Tech.+M.Teeh. Dual Degree 611 .4 6 Year B.Tech.+M.Tech. Dual Degree 611-A
lP.r.o.l

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22. Xis a binomial variate with parameters n=6 and p.If aP(X=4)=P(X =2), then 27. The equation of the circle passing through the origin, having its eentre on the
VarX = line r + y' 4= 0 and orthogonal ta x2 + yz - 4x +2y+4 = 0 is
n=6 5r8obJ p 5o.$r6.:od X a.5 6555 s9*8 (s55€8). 4P(X = 4\=P(X =2) eranr6, 5,rrer EoQO /Ooc"ie6;", dp rc+y-4=O p €o$S.u$.r Eefr eoe irSoXD
erbprdc PEJ€ X = *2 + y? 4x +2y +4 = 0 I ercar ScSoYrom dod np$o drslr bSo56eao

(a) 9 q (a) *2+y2-4x+4y-o (b) *z+y2+4x-43=0
@)
3 (c) *2+y2+4x+4y=o (d) *2+y2-4x-4y=a
m
D

.co0) and radius 3 units. The equation of the locus
o
G)+ (d)
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28. Let C be the circle with centre (0,
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4

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c. o The y-intercept of a line passing through (2, 2) and perpendicular
s e m to the line l as subtend an angle 4
"tits
centre

em 3x+y=3 l ay'eao66 is-3
a g
s
is

la fuoe bJSoIP d$ gr * y 33 eod 6p ag (0, 0) €o15orn, 3 olusg Dltir"go 5;gc; C erb,>$o&.3og5o fiE
cr4
s{3o$ flqo
ag
Q, Z) ry6.r. = erog.rom
SpgU a,5 Arc6o Xer
+seonp
(a) -4 @)+ C 6.1151, e'Ser b;63 ao6.{1er Eo6;5So dr51, bSoSdeeo

(a) *2*y2=! @) *'*y'=!
(c) i (d) -+
(c) *2 + y2 =l (d) *2 * y2 =4
-44
24. Locus of the mid.point of the portion between the axis of the line rcosa +ypine=p,
m parabola y2 = 4x
If the locus of a point that divides a chord of slope 2 ofothe
where p is constant, is
m . c
p fid <>oB era.Dbfppdr, c6r"bg etgoo 5o65Xer, dp rcosa+ysina=p 64151, qPXiD S965
m c. o m
internally in the ratio 1 : 2 is a p.arabola, then the vertex of the parabola is
I

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em
yz = 4x 5o'Sercbo d,u56, peps.: 2 m X0fl5 a,5 aw5br ero66on r : z e$$pf s{do3 a"5
la Ho
ao6c$ d>{, dqdrb6Srr
(a) *2 + y.2 =\, em
'9 9 .)

l as dodb$ Oqrl5t ao6.l56o a,5
g
a q)
5o.5elcU,ro elol6, 6s Serboc6ro
I
$
l a
p- s (b) )c'+Y''=4P
ag t"' (;';) ft) r3.
ag
(c) +.+=+ (d)
1 1. 4
99t =
[e'el
x" y" p" rc-
-+.- y- -p- (c) (d) (?,+)
[f ';)
25. The square of the difference of slopes of the lines re'presented by '22
*21"u"2 e - sinz 0)+2(-tan0) xy + y2 sinz =0 is 30. Tangents are drawn to the ellipse * * f =, at the ends of the }atus recturns.
2., 9.; 9. 2
95
yz sinz =0^4$ Krv"eobald 8ele, drgb;iP€)ro SXnu
, :r-(sec- a - *rn2 0)+2(-tan0)xy !
The-areaofthequadriIateraIthusforrned(insq'units)is
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*2
drl56 b{o
? t=t* ",2
o m 6"qtlgr du56 ;F@eloa)o 5i6o iS fp64 6+ob.r A+b, g€ $dorT" Aan 6$eld
m
c
,

(a) 1 (b) 2 m . e
(d) 4.co s
(a) 32sem
p*e6o ($r o1rraeo$)
a
SUpd n6;6paro
(c)-'3
g l
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(b) 28
s (c)la27 (d\ 24 a
la
If r+y-5=0 and 2r +ky-8 = 0 are conjugate lines with respect to-the pircle g
&1. Aa line segment PQ has the length 63 units and d.rs (3, *2, 6), If this }ine rErakes
*2 + yz -2x -2y -r= o , then = agft
an obtuse angle with X-axis, then the eomponents of the vector @ are.
*
!i, 0
!.-5= 2x + ky- 8 0 eu 53$.tr *2,+ y2
b.rO,obo = -2x -2y -t= O 6JS $,gc[D{l ltd P8 er3 e,5 deu" godo sd$ 63 olrlsr^D 5J8o5D AS c6Ureu (3, -2,6). Sr Bg X-el.5iog" a"g
d$&\) eaor.l6, ei11"l6,l k =
egS *eo.cp $5.:od, 568 PQ dr56. erofb.ler:
(a) 1 (b) 2 (a) 27, -'l-8, 54
(c) 3 (d) 4 @) -27,g,r9, -54
(e) 7, 8,, -4 (d) -7, -4
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a a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 5 of 14

AUEET .2026 AUEET .2026

x-t
0(r< 1 35. The equation of the tangent to the curve (L+ x2)y=2-r hhere it meets the X-axis
o
is
32. If f 1xS= a, l< x <.Jz is continuous in [0, -) , then the suitable values of
(L+ x2)v=2-r ers 5155rb5r, el6 x-ergc; go?o .#e^r Aer r3u3 6$ dDst bbcsUeao
2b2 -, 4b ,tz*
,c- (a) x +5y -2=O (b) -5y-2=0
"
o and b are (c) 5x-y-2=O (d) 5x+ y +2 =A
JC2
0(r< 1
-l a
a, 7< x <Jz rqt 6, el5pr6.l o iuOob b el$ 6ffS gelbep
2b2
x-
, Jr<*
-, 4b 36. Consider the following :

13oB a.ss SSXeEoso& :

(a) a=L,b=-t (b) " =-L,b =L+Ji r-^---^-----i---ri r curves y2 8a2
Assertion [Al : The area enclosed between the = 4ax and y = m)e rs ,,
(c) a = -7rb =L (d) a=L,b=42-L Lmo

oA16fui [A] : y',=4ox b.r8oSr y = m:tcb$ilo tu65 elS8oSardb Ail%o
#
Reasons [R] : The area bounded by' y = /(r) and y=g(rc\ between x'=a alrd. x ='b
If Ji + ^!y =Jo ,then at x = a ,
is Jlsr"l-rt x)ldx
b-

#=
.a :

t- '
- x=a
^lx+,,!y=./o
elanrd,
' b6:+=
'JZu
odx' ydeao[R] : tc=o 5c6ob: x=b obc65y=f(x) 5r0o1D y=g(,c\ cn5ob8sr6o

(a) I @)* $cuoar6b peeSo r O, - r rx)ldx
11
a 'a
r- Which one of the following is True?
(c) + (d) +
42

(a) [A] and [R] are true and [R] is the correct explanation of [A]
34. If the Rolle's theorem holds for the function xB + bx2 + cx , 13x32 at the point 3'
4 ' tAl,iJSolD tRl er b65o bJSoYD [A] drgt, b0Qb c56ea [R]
(b) [A] ut4 [R] are true but [R] is not the correct explanation of [A]
then the value of b + c =
lAl 5r8obJ [R] er 565o, s.c [A] arySl, bSQb $b6ea [R] sttu
f tg xs + bx2 + cx , 1<x12 g5fuo5:-sg 640 Rrgo6o
aoc$Q b056.l6oo$ (Oll er$6.rod),
(c) [A] is true, [R] is false
el5;p6.1 b+c= 6156seub [A] b65o, [R] erb65o ,

(a) -13 (b) 6 (d) [A] is false, [R] is true
(c) -3 (d) 3 tAl erb65o, [R] 565o

6 Year B.Tech.+M.Tech. Dual Degree 10 611 -A 6 Year B.Tech.+M.Tech. Dual Degree 1rl 611-A
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lim --ry
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+ -7#+..,+-=
PAltf - t
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iZn-!' ,lqn-22 ^lao-ez
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PHYSG$ (Sklxs)
E 1T 1
' (*) 6
(b)
3
41,, What is the dimension o1 --1- 7
ltoEo

(c)
IL
(d) lT
(po-magnetic perryeability and eo -permittivity of free space)
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d,uq,v boireao Srue3r
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c m a s
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e m38.. rc f- it-=f (r)+c, then
l as e (a) l*t-2]t
ag l @) . trr-l]

l as r (rtan*+1)'
ag (e) ,- 1L2T21 (d) tl,r?1
ag rdx
l--?=f (x)+C eror.r6, erbpd.r "(1
'(xtanx+L)' 42. The displacement of a bod.y whe,n it eovers a distanee of (where C is
i
/ \. circurnference) along the circumference of the cirlce of radius 'r' with a uniform
h\ '\4J
f{'7=4+n (b) "( r\ I-- 14
rt-
" ,
'\4) 4+n speed'u'is
/1
r a-5J,So gORb 5;6o3oar&, u erB 5s6OBxo6a a"S 5qO .4Y d5l.eP-lOCLp5o5re8oeb5"pdo,
(c) Lt,^f (x)=i tt
m
(d)
x*+xl2114=2
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)t'-'ttiz zr 1T
er 55.r$ i"o6 *bL6o6o Jo6? (eS1rA C erts6 bJhbSO)
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39. If !Q"ux\\i*a d.x=sxEe {A(log{)3 + B{obdz +Clogr+D}, then A+ B + C + D =' a
(c) 2r
g
2

g l a a 48, In a sports cornpetition, a javelin in thrown at an'angle 45, which recorded a
IGogr;3 *4 a
J'
d.*= *5 {A(Ioe*13 + B(logr\2 +Clogx+D} erou6, eeb?6, A+ B +C D = +
iange of 90 rn. The rnaximum height reaehed by the javelin* is (Neglect ait
resiptance and acceleration due to gravity = 10 m/s2)
(a) 74 (b) 86 a"S $c" CIe5d, e"5 &6br 45' Seeo6+ cRr6$5;p6.r er6 9O SoeJg 566s (range) {nrdc
(c) t4 (d) 224
S3o8. er 616 $Of X06 J6r Jo6? (a-otu c6arySp $b8o5o& tuSo5p rutbg5$ea SUgfQ
10 mls2 rn 58Xe8o.bod)
m
(a) 45 rn
c o m (b) 30 ffr
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7=eY m (c) 22.5 m. (d) soJt m e
.co m s
++
a of
1S

e
6

l
' d)C X t7o

em s a is initially at At g
la the velocity of the body is Gi +zi rnls, then the mass of abody is
44. A force the
s
dvleY tZi+i-fr:>n hcts on body, which rest. end
? +' =:; d.D$, &qr6ea #Sb
dxxxZ
la a g
g
20 seconds -2fr1

(a) x=er(I-2Cx)
/ \ - \)/< d^
a (b) *=\rfr.;) p"uo6o# stler &66' dU a,s rqbts $i +i -fiylr aruo' bs $qos. zo b55 6e56 er 5Qi)
tsxo 1ai+i i -zb m/s era)6, er Sbug 1d$ge8 Jo6?

(c) 2x = et (!+2Cx2) (d) s - s-Y(B+Crz) (a) s kg (b) 10 kg
(c) 5 ke (d) 4.5 kg

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S Year B.Tech.+M.Tech. DualDegree 12 6'11 . A B Year B.teeh.+M.fech: Dualbegree ts 611-A

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AUEET - 2o,2|d AUEET .20.26
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45. A particle moves from (1, 0, 3) to the point ('3, 4,5) when a force F= i+5$ acts *
49. The volume of a material reduces by 2% when the pressure is increased from
on it. Amount of work done in joules is
.*
s,
.-t
1 atrn to 2 atm. What is it's bulk modulus? (1 atm - 105 Pa)
F=i+58 el3 alero a"5 Seeop 5c 3b.l5p5.p6o, ei Seao' (1,0, 3) b.ro& (-3, 4, 5) er3 a"5bo"$op 56o"cp 1 atm 5ro& 2 atm5c -ilo,lbbpdr, crs {ob 58b:eeao 2% 6nb6co6. et
do6.r$5:55rer:t1co6. 6t 151tcbef aORb 5c 586reao (f63d) Jo6? 5o"So olrlg, ar51, b:"d.r5erb "loOZ (1 atm - 105 Pa)
(a) L4 (b) 10 (a) 105N/m2 (b) 5x105N/m2
(c) 6 (d) 15
(c) 106N/m2 (d) 5x106N/m2
The n-alls A, B and C of masses 50 g, 1"00 g and.150 g respectively are placed at
the vertices of an equilateral triangle. The length of each sid.e. is 1 m. If A is 50. Which of the following Works on Pascal's law?
placed at (0, 0) and B is placed at (1, 0) m, find the coordinates (x, y) for the goa *e,3ef +b6e5 Do5rbiop 5a rc€qoae
centre of mass of this system of the balis.
g$5ron" 50 g, 100 g ir0o5.D 150 g gdb5o"tueu gOnb A, B brSoID C er6 arc6cgbbc a"5 (a) Aneroid barometer (b) Hydraulic lift
bbc ar"Ir"c g8{baso dr56 Sger 5f doa.tb. er ge9{beo dlr56 pe3 {bao }dO 1 m. a"5 B6 FoYl qr6 ir55o b"ra-O5 05
LL gD

A bJ (0, 0) 5g 5r8oY)? B bJ (1, 0) - 5F doebeoord, €r'alo6J" 555F O$U g555o-8 (c) Sprayer (d) Venturimeter
3og6$ sl{r.5yerb.r (x, y) Sb.rfi-bo&. Sobc8 5oe^16
Lh.[lb

(a)
(t I .-
ft) [o.
[12' u8' )- 51. If two rods of length 'L' and '2L' having coefficients of linear expansion '-d' and
(c)
(t t-
(d) lo. ' '2&' respectively are connected end.-to-end, then find the average coefficient of
linear expansion of the composite rod.
[u' t 18. )-
'L' ir0o5D '2L' i"6O dQ oodc s$el 6$cn ;r5$r fbeaver 5l{:bn 'a' 5.10o5}r '2a'. uo3p
:

47. A bodf is executing S.H.M. at a displacement 'X its potenti.al energy is 9 J and at a"5 o"c95e3
"tbttb 5036, er 65.16& S$ a*1, 5X{^}) d$c[: %Sb tueasc; 5b.rfi-5o&.
a displacement 'Y its potential energ:y is 16 J. The potential energy at
displacement (r + y) is 3a
(b)
a"5 bQO b6{ Xn6{gc5 berei"q (S.H.M.) atb$do6. 'X
S5$o6o bf o"c ftea; f$
(a) :-
2 Y
5a
Sbg{o6o f; o.o ftela r$ 16 J. (r + y) 5f; SbgaYobo bf ftsa 63 Jo6?
9 J br0c[D'Y (c)

(a) 25 J (b) baJ
4
,1 ,@)T
(c) 4e J (d) 7J 52. Isothermal process is the graph between
The height at which the weight of a person becomes 25% of his weight on the acdo6666 t56cub er$a 6p nr{5 dbp tn'F
surface of the earth is (RB is radius of the earth)
a"5 55$ e,r6o {l 6enp Xer er6o e"eog 25% erdo5 JQ (Ru er36.drsr ;r5+$o)
(a) Pressureland temperature (b) Pressure and volume
e"e9& 5r0o1D 6ffLt$5 a"$& SoSob {ubbsbreanr>
RE
(u)
+ (b)
4
(c) Volume and temperature (d) PV and temperature
(c) : Rn (d) 2Re Fobb8ironD 5J8oXD d*LK6 PV 5reob d*LX6

6 Year B.Tech.+M.Tech. Dual Degree 611-A 6 Year B.Tech.+M.Tech. Dual Degree 15 611-A
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53. At what temperatrte is the rootgmean square (rrns) speed of Neon gas atoms is 57. Two charges are + 10pC and -l}pC are separated by 10 cm. The magnitude of
to the rms speed of Helium gas atom at 33'C? (atomic mass of Ne = 2.02 u
equal - force acting on another charge 5 pC placed at the midpoint of the lirre joining the
and that of He = 4.0u)
two charges will be [Use
- + = 9 x 10e in SI unit]
- 33"C fg 3rOcno ai.otuO 565.rearger root mean square (rms) 3n"p3 S1;.SQS 3*Q 4ten
ocur-S a.cfirg Sdnreo{)er 5 aqtttO bH sOn 6osr"ou? (Ne S6brear 155gcr8 = 2.02 u + l}pC br8o5l *IOpC $elber SOnb Oodc er3eeu 10 crn dlrdoef 3U:3o:car& doXorl.
br8o5D He S6brear 15b5o"8 = 4.0u) €a Bqdr dSaer$c 503 6p 6.r>56 icdg dodr$ bg do,e$ 5J6-5 5 pC esitop 5s $fu arerc
m
(a) 1208 K m .co
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(b) 1210 K
c. o
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(c) (d) T22O K
s em 4teo

m . s em (a) 360 N
(c) 320 N g l a o) 0N
(d) 380 I.{
s e g l a a
g la 54, Two waves of amplitudes A, and A, respectiv€ly are asuperimposed. The ratio 58. The variation of electric potential with distance from a fixed point is shown in
a between the rtraximum and minirriurn intehsities of the resultant waves is 9:4.
figure. What is the value of electric field at x = 2m?
A
a"5
ft6 aottug 6.ro& c5:-6o6* *"ar cc556 &opoYcdef 50i nru:p Seood f,r.rbar&o6.
The value of +A. is [Assuitie At , Ar]. x = 2m sg sdr56q6 eerb Jo6?
V {voll,l
Ar tuScsrr A, SobS bdsr6rsu SOfiS Oodr 6don'er a"5 o:cp e.5e3 56.:6ctpo.l. f06 t)
4
m
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66on er lfS$SJSoSIr Sc$eb1b6er sfbg 9:4. A, > A2 eroDdr Jo6? 1]
f "*t m
(a) 0.66
c. o
m (b) 0.20
m .co s e m x {mctre}
(c) 0.75
m
(d) 0.44
s e g la
a s e g la (a) o (b) a 3

6ts. Two thirt lensglof ilower +4D and -ZD atl' kept in contact. Equivalent focal length a
I
(c) 2 (d) 6
a is
tif the cdinbinatio'n 59. A conductor of length 100 cm and area of cross-section 1mm2 carries a cufrent of
Ao6J bbJb socs'eu ilE *bog$eD +4D br8oiD -2D b6;ef dbgb;p6c, er Sero:.:S dr:si, F06
5 A. If the resistivity of the material of the conductor is 3.0 x10-8Q m then the
a.qr"5o66o? electric field across the conductor is
(a) 0.5 cm (b) 50 cm 100 crn &6b 5r8o1l 1mm2 efgSO peoSo SOnb e,5 a"Ir"So o"5o" 5 A $a!56 1bb3"{o6.
(c) 25 cm
m
(d) 20 cm er yIn5 5dr"gb sA$s$dg6 3.0 x10-80m erol6, er aoInSo erobsr *od cArgSQlOo
Jo6?
c o m m .co
om foinge pattern on a screen.
86. Twb coherent sources of light interfere and produce
. c (a) 0.15 V/m
m .
eVlm
&) 0.015 Ylin
as e
For centfal maximum, the phase difference betweeir the two waves will be
m
(c) 1.5
as (d) 0.0015 V/m
g l
s e
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60. A g50l cm long solenoid has winding of 400 turns. What current musf pass
g la ita to produce a magnetic field of induction rxl}-B T at the ceritre?
Bodr 66on er 5.165 5e SAo ;oUZ
(d) iera a (b) t 50 cm s'$ Xo a,5 &oerapE 400 b:g $gob,: 50f eo6. crs 3o16o 3S 4itx10-37
(n Q) ercS#ao6 $r6ee Xer ero5ri.6o6Sfe"pJ 66Jg$ota-n3 o.CI lboc- Jo6 sd:56 15bir*r0?

(b)
3h
.....: (d) (a) 10.5 A (b) 12.6 A
2 2 (c) 25.0 A (d) 2A,g A

011 -A
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6 Year B,Tech.+M.Tech. Dual Degree 17 61f -A
m lP.r.o.l

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AUEET .2026
AUEET .20.26

61. Any magnetic material loses its magnetic property when it is 66. The wavelength of the first spectral iine of the Lyman series of hydrogen
SQo" ercUcqro6 bo"$o o"s ercU:J"6o6 6o'6e1J5;pdr fdSUloAZ spectrum is
(a) dipped in water &) dipped in sand :116{"5 r$5e^rodn gbr5 385 a*6 tu)603 b$se^r der 66oQ$o Jo6?
. bu3ef iroabS;pdc ablSd iroabS;:6.:
(a) gr2 ; &) I275 A
(c) attached to an iron piece (d) heated at high temperature
ab;b 5rl51r$ deosrqp*c e$5 affsxE b* 3e SSnqpac (c) 7572 A (d) 6563 nA

GZ. When current in a coil changes from 2 A to 5 A in time of 0.3 S, if the emf induced 67. A nucleus has mass number a and radius Ro. Another nucleus has mass
in the coil is 40 rnV, then self inductance of the coil is
number B andradius RB.If f = 8a then Bo I R6 rs
a,S ebX $.rtsd n6cDS 15a"b"o 0.3 b55 bSb6ef 2 A 5:o& 5 A 3 5r8b5;pdc, er b.rgd

$rSOepf cdb'e5 a'ers arero 40 mV e nr6, e: 5.rB d.r56 b5cbo ftUSO5o
Jo6? a,53og65o dr56 g6b5o"8 boe5 a SJOcbJ 4"5a"$o Ro. br6'53o165o dr56 15b5o"8 bop5 f
(a) 4H @) 4mH SrOcU.D
(c) 40 mH (d) a0 pH
(a) 1' (b) 2
(c) 8 (d) 0.5
63. An inductor and a resistor are. connected in series to an AC supPlY. If the
potential difierence across the inductor and the resistor are 180 V and 240 V
respectively, then the voltage of AC supply is
68. At absolute zero temperature, a semiconductor behaves like
e,5 eo6$6 5r8oYD a"5 A3$6 56b 15tuod AC bBg erb.rbo6'coba:& *b;5ydc, ao6$6
r"8$ b.ro1effLX6 b$ a"5 er$a"F5o 5 s6on" pbQQoS?
br8obJAbFg tuoc. boey5;55e5bo 180 V 5r8oXD 240V ero.u6, AC bb 5.$6Jo6?"
(a) Semiconductor (b) Superconductor
(a) 300 V (b) 42ov el6a"5l5o eleg;r5"So
(c) 60 V (d) 210 v @
(c) Conductor (d) Insrilator
a"5"5o s6465c,
G4. If the amplitud.e of the magnetic field part of a harmonic electromagnetic wave in
vacuum is 270 nT, the amplitude of the electric field part of the wave is
Erb5oef a-5 XF6a6DS $d156cU"r#6o6 6dor{o 6.u51, eroXr}6o6 $trO Q"Xo d.r56 a"5} 270 nT
69. Which of the following logic gates is a universal gate?
eran:6, er e56oIo d156 $6Jtegqb Q"Xo d.DSb 15! "foOe
13oB 666 o.5eeref 56 +651-e95 o"56o?
(a) 90 NC-' (b) g1 NC-1
(c) 9 NC-1 (d) 30 NC-l (a) AI\D (b) oR
(c) NOT (d) NAND
65. Wave picture of light has failed to explain
s"oe9 dr:56 66oX 39o6o 13o6;:"e3ef 6cp s58o$6od spsQoa
70. For transmitting a signal of frequency 1000 kLIz the minimum length of the
(a) Photoelectriceffect (b) Interference of light
antenna is
soe9 $6156 Lbqr"bo so8 55856eao
1000 kHz $5a$b5o Xer bo3e"c; ibi.6o 3cbcc"pB, cU:-oAoX d.:':56 gD$e6U?
(c) Diffraction of light (d) Polarisation of light
Yoe9 Sb6bo- *o8 6p556eao (a) 30m (b) 50 m
(c) 75m (d) l-500 m

6 Year B.Tech.+M.Tech. Dual Degree 18 611=A 6 Year B.Tech.+M.Tech. Dual Degree 19 611-A
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a PAnf, - C lo. The amount of carbon dioxide produced.by the combustion of 20 g of methan is
CHEffiT$TRY (8O ilrl*s) 20 ge.er $065 55"6o ffoddo berb 56pd s635 60$"$6 b8i:peafr

(a) 22 g (b) 2o s
/\ oo g
(c/ (d) 44 e
71. Which of the following is NOT permissible?

omthe reaction is?
6e gSoB usd erbrbreg dcA 5AZ

(b) n=4,1=2, rn=I .com
1$. When water is added to quick lime
.c
m
(a) rL=4., l=3, fn=0. a"& b.ro1o8 bO 503brpdJ a8fr s65
e m
c. o(e) ft,=4rl=4rfll=I se
(d) rc =4,l,=A, n'L=O m (a) Photochemical l as (b) Exothermic
g
'
s em g l a yo8 6i"cUJb a
g la a . d$\FJ'55

a 72. Which of the following elements is considered as a micronutrient in plants?
(c) Explosive (d) Endothermic
sP)orb 6S1n.rFg
6t $oS Dpd 5 Arrers'cpar51rercf nrfoob5om qp"s#6r?

(a) F (b) Ms 77. 'The aqueous solution of which of the following salts is alkaline in nature?
m
.co
(c) Ca (d) Zn' '6a gSod elbee"od 6o aetlo"Seao q,6 b5ar5o 50ff dodrhr?
m
c. o
m m .co , (a) NarCO, s
(b) lttraNO,em
73.
e m
Ordep of increasing,ionic character is
las e (e) KCI gla
(d) NH4CI
a
l as ag
ag
erc[rsi b5er5o b8n LgpJnD
?8, ttrydride ion is a
(a) BeCl, < MgCl, < BaCl, < CaCl, (|o) BeCl, < BaCl, < MgCl, < CaCl,
off166 eroY.r"bc
(c) BeOl, < MgCl, < CaCI, < BaCl, (d) BaCI, < CaCl, < BeCl, < MgCl,
(e) $onjugate acid of H2 (b) Conjugate base of H,
H, dr:51, eeQ o:r:f[nl H2 ob56 q'6 Ohr€Al)
m
74. tA! 3O degrees Celsius and 730 mm pressure, 380 ml of dry nitrogen gas .was m .co
.co
(d) Conjugate base of H-
m volume will nitrogen las
k) Coirjugate acid of H*
e m
.co
collected. If the temperature is kept constant, what
em II+ oS451, erQ ctuftnr H-Sr:s6 gd o1lr13ir.l
l as
occupy at 760 mm pressure?
emar.6. *"& pp,fa5 a"g[p6 ?o58o.nar6oa. las ag
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g la
b0pcU;S bJ0gIll 730 aJ,So: Scro $6 380
79. a
a erlsaroB {ob 50fr"eearo6?
erd afrLx6, T60 a).5.). SAro ng$pSa*sF"o5)r$
The correct order of increasing covalent character is
bh.rdrabc$ 55er5o bSfl bSQb Lgbrnl)

(a) 365 rnl (b) 4,45 ml (a) tiCl < NaCl < BeCl, (b) BeCl, < LiCl < NaCl
(c) BeCl, < NaCl < LiCl (d) NaCl < LiCl < BeCl,
G) 38O mI (d) 760 ml
6 Year B.Tech.+h4.Tech. Duat Degree 611-A
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20 6 Year B.Tech.+M.Tech. Dual Degree 21 611-A
m
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AUEET .2026 AUEET .2026

80. What is the primary product of Haber-Bosch process? 84. The ratio of number of atoms present in a simple cubic, body centred cubic and
?:"ar6- ef,l 1513cbef t5o"f 13o5.r4b5fu 6 e face centred cubic crystal structure are, respectively

(a) Ammonia (b) Nitric acid #o.6ea {ob, erc6a 3o166 5r8o:D perS €o166 {ob bpe35 awerverd eod trUnreal boal5er

I (") ;Ttffi"-
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(d) Pyridine
3s&5
cfu$,5t$5n"

(a) 4:2 : I
(c) 2: L:4
(b) r:2:4
(d) 4:2:3

81. Acid rain is caused by the pollution of environment by
a"egpbbeaoef v*4)o fet5 Sopd er5.l bge3 s"6eao 85. The reason for adding sodium chloride to water while loiling eggs is to
(a) Carbon dioxide and Nitrogen $t ru6nr br8fio.bcbg6r be33 io&c[lo $6 sor6-c3 vdeair
s.6.'15 6csr"g)E bJBcuD ELe.f*S (a) make eggs tasty (b) prevent breaking ofeggs.
(b) Carbon dioxide and Carbon monoxide , fu6J L{ran" 6oda-P3 fuQ 5Xerc-c; cu8oba-o8
s"6;5 605;.$5 bJ8o5.D s-61,5aro"p15
(c) decrease the boiling point (d) increase the boiling point
(c) Carbon dioxide and Ozone
sr6;5 605r'^3^16 irscsD f-d,s u?p{rn Sbo bflobc"c3 a:"35*fn Sbo lroba-c3

i (d) Sulphur dioxide and Nitrous oxide
I rop6 ao:r56 b.r8u or dru,5 oFJa
I 86. For a reaction, 2A -+ products, rate = nle]' .It IAI is halved, the rate becomes
82. The reaction of ethene with HBr in presence of percxide is called 2A-+ gSolreu5ur er3 ru5sde^u = klAY. tAl br 5Xo $!6e^u er$6co6.
-iro"$16 br.:{od HBr d 6"65 asb rug
(a) Same @) One-fourth
(a) Markovnikov addition &) Wurtz reaction {.
er6 a.el55o6.l
n
nr6airos.S 5oSerbb.l AdJ
e)al56r?) (c) Halved (d) Doubled
(c) Anti-Markovnikov addition (d) Substitution bXS.D de3obr
e)
55s65 $.6a6cs"S bo5o$bll lbelQbeanr>

S3. Ozonolysis of 2-meth)rl-l-propene prod.uces 87. Which of the following does not exhibit the Tyndall effect?
2-Sop6-t-1+35 6o51, €"fp"er3S rerb 56p6.:rc et gSoB vpef eSoa-6 P06tuJ 15587obc66?
(a) Formaldehyde and Propanone (b) Acetaldehyde only (a) Emulsion @) Blood
+o.4):96 br8olD g*bSS erbe^rp:X6 5r16fu rb.pS 6SnD
J

(c) Formaldehyde and Acetaldehyde (d) Propanone only (c) Milk (d) Sugar Solution
a"o"gf qA brEolD erbe;"$:16 LJ"5SS nrg6fu J"el 53661o-5ea5.l

6 Year B.Tech.tM.Tech. Dual Degree 22 611 -A 6 Year B.Tech.+M.Tech. Dual Degree 23 611-A
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88. In the extraction of copper from sulfide ore, the metal is formed bY the reduction titrations?
of Cu'O with a,5 a"irb5 €fdn$ o,50" aso s"8b56b.r Sb.rffba-C3 efA;"no3
5o-9fu6?
bS6 nDe $sa3o Sco& ooftc 6c$rU.r Soteocf CurO 6cd ScnSUeao lo6o56o
on5e
(a) Na, (EDTA) (b) Mg(EDrA)
drrfuupa.r6co6? (c) Co(EDTA) (d) Fe(EDrA)
(a) FeS (b) co
(c) CurS (d) so,
m om polymers involves the repeated loss
94. The synthesis of which of the cfollowing
.
of

m
c. oArrange the following in the order of decreasing H-N-H bond angle m .co small molecules?
s e m
ebl erea:$erbr b.:6er tu6o sd356o o"5e 6e po6 aP06P 5 +orcSrr bo$:reao sqUre
s e l a
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89.
g l a (a) Polythene ag (b) Btrna-S

la uEc H-N-H aco6seao 6fl $5;oef 5%* Scuro&
a J"065 e.rr5o-S

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(a) NH, > N$ > NH; &) NH; > NH3 > NH; (c) Buna-N (d) Nylon - 6, 6
per5- o, o
(c) NH; > NHB > NH; (d) NH, > NHI > NH;

95. RNA lacks which nitrogen base?
The acidity of diprotic acids in aqueous solution increases in
the order RNA ef 5 pp,fas d5 *oaarl
90.
m
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(b)
aser go.beaoef 6g*e35 erb.ls erQ65o b8fl 155co (a) Adenine

(a)
c om (b) HrSe < HrS < HrTe
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HrS < HrSe < HrTe

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91. The forrnula of a noble gas species isostructural with BrOt is 96. Sodium alkyl benzene sulphonate is used as
as&curo o9b6 dods refpBess 6pm a50.r"nE6?
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(a) Soap
(a) XeOFn (b) XeF, b-J ee^:poeS

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92. what is the gas produced. when .
KMnOnc se sequence of bond enthalpy of c-X bond is l a
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the color of
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a
HCl 64 KMnOn '565tro4b5;pac 5u3d a"ob$ 6olirs
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a(a) CH*
(a) BrOwn a g -Cl >CH'| -F> CH, -Br >CH, -I
n"6:bJ nD6r6r er5l55;
(b) CH, - F > CH, -Cl > CHu -Br > CHt -I
(c) Greenish Yellow (d) Dense white (c) CH, -F > CH, -I > CH3 -Cl > CH, -Br
er$5'b;5br$ 6SQs 6eu{l
, (d) CH, -I > CH, - Br > CH, -Cl > CH3 -F

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611-A 6 Year B.Tech.+M.Tech. Dual Degree
24 lP.r.o.l
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6 Year B.Tech.+M.Tech' Dual Degree

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a a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 13 of 14

AUEET .2026
AUEET .20.26

98. Which of the following compounds is formed when benzyl alcohol is oxidized with SPACE FOR ROUGH WORK
KMnOn ?

dopd erer6IFdbo KMnO. 64 edp56eao 3o6o.sbbp6, 6e $oB upef 5 5€o3Ubo SUpa.rf.re
(a) CO, and HrO @) Benzaldehyde
CO, irSoYDH2O aoa"0:;.6
@L

(c) Benzoic acid (d) Benzophenone
dofar5 **n aod?l,$5

99. An organic compound of the molecular formula CBH6O did not give a silver
mirror with Tollen's reagent but gave an oxime with hydroxylamine. It may be
CBH6O oearftt{o6o" S.Onb a"5 ?oo16cUc bfug"5bo e^ld5p s65od 3e56 argU6 af5dA.: s'e

:g1a-SpderSo5d er$16b"r a.r)o6. er bfug{bir

(a) CH2 = CH - CH2 - OH
(b) cHscocHs
(t) R-CH=NH2CONH2
iul * - cH = cH - cH(oH)- NH2cocH = NHNHz i

100. Which of the following is the most basic?
& gSoB a-cd e$5Q5 q'66 5er68z
(a) Ethylamine (b) Aniline
6rQe5er$oS erD05

(c) Phenol Ammonia
$*6 efirgcolr

6 Year B.Tech.+M.Tech. Dual Degree 26 611-A 6 Year B.Tcch.+M.Tech. Dual Degree 27 611 -A
lP.r.o.l

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