!
www.myengg.com
AP EAMCET 2016 Question Paper
tr
Marks : 160
Time: 3 Hours Instructions:
(i)
(ii)
Each question
c
arries one mark.
6dJ5.> e.d 5rd:2, Socn. Choose the correct or most appropriate answer from the given options to the following questions and darken, with blue,&lack ball point pen the corresponding digit 1' 2,3 or 4 in the circle peftaining to the qubstion number concerned in the OMR Answer Sheet,
6E
separately supplied to you.
a,{:5 a,}5 6s 6dJ$ e55a:65 a"isd Soo3cs S5:'o"55cc$o J5o15'e oeo S:"SoS eroB 1, 2, 3 dS 4 Sdurr aa;S OMR $5:'o"5 5r.65r:ef 6d;So SoaoOo,.)S $opgde)
{":0355o ar:"/arS o'e5 }occoc5 =o5o3
65&rflo3
Co55d5c.
MATHEMATICS 1.
The domain ofthe function
/(x):
f(,)= o96.5 x! eetu 6r$cD)O 1€i6da]) (1) {0, 1,2, 3, ...} (2) {t,2,3,...} (3) (0,-) 2.
(4)
{0,1}
If f (x): lx-l1 + lx-21 +lx-31,2
(1) an onto function but not one-one (2) one-one function but not onto (3) a bijection (4) neither one-one nor onto /(x): lx-l| + lx-21 + lx-31,2
Rough Work
E 2016
3-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
I
www.myengg.com
AP EAMCET 2016 Question Paper
t 3
'
I[t;t1::*"sitive
I
integer which divides (n+16) (n+17) (n+18) (n+l9),for
erel 6SXyqos.erc n e>6r, (n+16) (n+17) (n+18) (n+19) So a_Eod ds6 65 (1) (3) 20
6
4.
rf a, b,
c
Q) 24
28
all positive
{rq;S5r:
G)
are distinct positive rear numbers, then the value ortne
bcl a.t.rr-,irunt
/i l.
a, b, c e>tiASJ
(1)
5.
Ifnl;
<0
65
,nt".ru, -r, ..^.^^.^.-* (2)
jl j:
>0
b
c a
(3)
,l ,l AqdSfu ob:S6 ioc5 ,l 0
n2, ,r3 as w elr as y t,,yz, ys.are in geometric progression
thenthepoints
(*vil,(*iyj,14,yl1are
",blol',
(4\ >0
.or,,* *a
with the same JdruE uullrrrr
1) vertices ofan equilateral triangle (2) vertices ofa right angled triangle (3 ) vertices of a right angled isosceles triangle (4) collinear (
xt, x2, x3 5oEc6:: y1,y2,y3 e.r: a.t So"Xo$6o ryo ,$eo@6oc ercr:d, $t. yt),(jr2,,.r2), (x3,y3) 0o6:gu:
) $5oo"Sr:L@a$a &{Sr:e:: (2) eroar $ea t8e;$a g{irq: (3) ooa:$eo 55o85a"$u Leaba B{S::oc (a) $dgo$"q> (I
Rough Work
82016
4-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr
fs-rc;;l
Io
lczl 6.
The equations
x-y+22=4
5x+Y++z=b
x+y+z=lhave
(1) (3)
(2) (4)
unique solution no soluiion
infinitely many solutions two solqtions
--ttt-)z-A
is
3x+y+42=6 x+ y+ z=l S5:SdeaS::e>So
(1) lES $65 6o{.Doa (3) $65 6066
(2) (4)
.
7
.
es5oei &d5eDodr-o)
Bodc d'65ococo-or:
The locus of the point representing the complex numberz for which
*1, *zl2 =rs is l, +zl2
(1) (3)
(2) (4)
a circle a
straight line
aparabola an ellipse
l, +zl2 -1, -zl2 =Ls egoloEoc*, $o8$ so+g z $o bc",)od ooc!$ o3r:$2, oo6: 56o
(1) e.s 51{o (3) e"5 Sdcr6q)
8.
(1+ l;2016
(2) 4\
a,S
(3)
2
(
e.5 5o"Socd:o
6d iO
5re5o Q,'J
=
0_,.,zo-1"
(r)
82016
-2i
(2) 2i
(4) -2
5-A
,w
rw
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
9.
AP EAMCET 2016 Question Paper
ttlzrl=t,lzrl=z,lr,l=:
una
lrtl=t,lrrl=z'lr:l=3 Soocsr: lgzrzr+42r4+
(1)
(2) 4
3
lrr+rr+4lis 224l=12 ero:d, lz1 +r, +r,l o-52,
lgzrzr+42r4+2241:12,thenthevalueof
(3)
(4)
8
2
10. If l,zr,zr,...,zn r arethenth roots of unity, then (1-21) $-z)... 1l-zn_): l, zr,22, ..1 zn_tor 5SS5:: dr56 n 5 f>"e:"e:o::d, (1-21) 1t-22) ... (l-zni:
(1)
(2) n-l
0
^
^2 -2
11. Ift2.*,* =\24.13)
^ ^2 ^ ,ro*r,'-(uJl)'^ -'
(1)
+
n
n
(3)
+
(4)
I
(4)
+
, thenx:
eso::d, erbya6:
x:
(2) r{;Fq
13
(3)
t2 13
5
t4
- 24 : O are respectirell' 1x21 -S|x| -24:O crso S5:S66a5! dr:56 Srro5>:e: ogsr: 5ooo5r ar:giS: 5d:5n (3) s,-24 (4) 0,72 (r) -64,0 (2) 14, s
12.
The product and sum of the roots of the equation
13.
The number ofreal roots ofthe equation x5 + 3x3 + 4x +
,5 + 3r3 + 4x +
(1)
1
1x21
-
S1x|
30:0
30:0 epSo S5cSdeo"eg 6o a.$^5 5r:"o-o (2) 2 (3) 3
is
Sopg
(4)
5
Rough Work
82016
6-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
If
AP EAMCET 2016 Question Paper
the coefficients of the equation whose roots are k tim.es the roots of the equation
r 1, I- x+ I^ x'+-x' are integers then a possible value ofk is 4 - 16 144 =0. .r 1r I ,' ,.r'--x r--^ -0 S5o5deao d:cS; S::.ero {r: k BUD 65J Sr:.er"e.:5o 5Ofl5 1
4
16
r44
$5c(deao o3r:56 t$sos.o: xgr$bo+5er epqr:6, k 3, 5OS e"5 $e)rs
(1) 15.
(2)
3
(3)
t2
e
(1)
(2)
533820
(3)
s32280
s33280
er&1 4-eooBo
(4)
bopger
then the numtrer of ways of selecting two subsets p and such that P and Q are mutually disjoirr.r, is
6S$Soe6e>J R Q
,
(1) 64
o$
P
So0r:5:r Q
w
(1) 3l
x3)a
e fromA
SdS;6o io5::qodogece3:n- A Soo& tso6:
Jodc$rfC,i CSSr:o Sopg
(2)
(3)
128
The coefficient ofx4 in the r.:xpansion of (1
(l - x + x2 -
3:r{o
s32380
if a setA has 5 elements,
S$rS A ef 5 S::.es.orod,
17.
4
The sum of all 4-digit numbers rhat can be formed using rhe digits 2, 3, 4, 5, 6 without repetition. is
2,3,4,5,6ero3e5o {$o"53e3o s-6:oa" 6i-,,,i:.for,5n" Sr}S
i6.
(4)
-,
243
(4)
72e
(4)
-14
+x2 -*3)4 is
aqoea*f, ,a o,rs2, r{:ea5$o
(i:,)
(3)
30
2s
Rough Work
E 2016
7-A
10
P," http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
18. If the middle term in r*he expansion of (1 + x;2' is the greatest term,
then x lies in the
interval 11 +
x;2'a::S2, s{6soef'C Sodgf6o r(0$66o eso$d,
epodd5::
(n+l n\ t__1
( n n+1) il) I\n+l.,-ln ) (3) (n1, n) 19.
x6od
\L) | n 'n+t)
(4)
To find the coefficient of xa in the expansion
"
(n-1, n)
(,
-#,
-
D
, the interval in s'hich the
expansion is valid. is
rr JJ 3x
t-. I\ ''t\t.. (x-2)(x-1)
(l) -2
d::$
es LtllJi (, c$6sae5"s & xattso,r&155o{,5o'e8, xa r
co
(.2)
--
1
(4)
-ao
-
(3) -l
.
If (r+tan a) (l+tan
(
l+tan cr)
(
1
S{6ea Ee>:alOD erd:g eo66o
4c:):2.".(r,#),then o :
+tan 4o)
: r,
".(0,#)eoor:6.
er$y,5o cr
E1' (1) 20
Q)
tfE (3) 40
(4)
:
30
60
Rough Work
ry*ryh *.{dA w / .:^ $
E 2016
6
8-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
-\l
www.myengg.com
AP EAMCET 2016 Question Paper
tr
f^s-rc;;l
lczl 2t.
1r.o,
a=fffi
, then one
ofthe values
cosd-cos B cro!e9, -=______r_ - tanl(0\ _ \2) I-cosacosP
cOS d
22.
|
*,*(i) *
oi::S6 a,5 Ser:S
i-0a tan
22 -
(2)
tana tart.L
Ba 22 -
(4)
tm2
(1)
cot
(3)
tan.:- cot
L
rlnz !_ 2
The value ofthe expression
r.-(2d I cot-d + cotl( 3r a\)| (-+2 2)) 4[2 cos(2a \ -2n\tan( ,, \ " -lI) 4/ I+
I+
sin2a
sin2a
--sln
|
(3r a\) r. - ( d ll --sln 2al cot-+ cotll? ))l
cos(2a-2r)tan("-+) 4[2
(l)
-+- - /)
0
(2)
.1d (3) sm"-
(4)
1S
I
t, SSTSSD d>56 $euS
1
.2 sln d
Rough Work
F 12016
9-A ^o
\*
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
1
23. If
;stnf/,cosdandtand
are in geometric pr.ogression, then the solution set of
lsin(/,cosd soocrr: tandel
foea@6ef
+od,
0d.:c56
+65
(1) 2n"r(%)
(2)
zn"
(3) "ft+(-\"(%)
(4)
",*(%)
24. IIx=sin(2ran-r z;anoy=5;n[lt-,1], -
\2
-
3)',
x=sin(2tan-r 2) boocuD y=rin[]tun-,
(1)
25. If
x>y
cos/z
(x)=1,
then cosZ
6t t6
(3)
x("/,1 )J \/
*r3o,
x:0:y
(4) x
(3x):
erbye6: cosZ (3x)
(2\
S$rS
tr.,.n
]l*ola, 3)
(2) x:y
cosh(x|=1 ero::6, (1)
(2
0is
&er5
63
(3)
16
65 L6
(4)
6l 63
Rough Work
E 2016
10
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
26 tn LABC.,r,=o"(t')*^l.r=o"(7)"^i *d,=nn(A;)'-i' then(x+y+z):
^ABC
o'l,un{ *u* ,="^(l:l)*nl' '-\ B-c)tun!.,=r*(' IJ'-"2''*'( z )'-" z-------- \ 2.)
er. *=ranf
2
eror:6, (x+y+z)Ser:S
(1)
(3) 2xyz
(2) -xy z
xy z
2'7. In LABC" if the sides a, b, c are in geometric the smallest angle by 60', then cos B
IBC
28.
./13 + I
(2)
1-J3
6o6,
(3)
then."'-'[#)
es 184ba
606, Se6 $ea"o 655::
\r2+\ )
(2) 3oo
1
(4)
JE-t
(4)
45"
isequalto
E V.=90" eeorrd. cos-rt'-+-l
(1) 9oo
z
:
rna LABCiTp!=e0o,
LABC
1
x! -2',
progression and the largest angle exceeds
1@+na5re$S qfasr: oc a, D, c,{:eo@6ef
60o e.po::d, cos B
(1)
:
(4)
=
(3)
60"
Rough Work
F.2016
1l-A
/w ,.r$$
http://www.myengg.com/engg/info/tag/ap-eamcet/
{-
www.myengg.com
29.
AP EAMCET 2016 Question Paper
tr
The cartesian equation ofthe plane whose vector equation is
y
-(l+ )'- p)7+Q* )")i+Q-22+2@E,where
,{ .
po
e.ratrd56yd: 7 =( I t
)-
5On5. eJo$c o3::56 s"$"oc6:S
(i)
2x +
117 + 12 _
y:5
)
lrl.Zlql
)1j + e _ 2 I
are scalars, is
+272)
k er$ K>aa" 65:Sd6oSDS)
(2) 2x -y:5 (4\ )v+z=\
For three vectors (I
p
i5:sdsosn
r?) )v _".-\ 30.
),
p, q
and
v.q
and
r, if i 4F
+
4Q
and 2T = p
_3q, then
have the same direcrion
(2) lrl>Zl|l andT,Q have opposite directions l-l
t-r
(r,
l"l<2lSl
and,
r.g
(4)
ltl>ZlOl
and
v,Q haverhe samedirection
^
5::.ctu S8del:
p,
have opposite direcrions
A XoOctu
r o6o, F=3p+4A SoEotu 2V_F_3q
erS3ctu
(1) lrl.zlql sooosx r,A e>J z.t adet-6ouror> (2) lrlrZl|l saocsD r,1 er sge!5Q (sEsds) Edef 6or.r"or> (3) lrl.zlAl xDocdx r,7 o: 5gd5$ (sge6s) Edd 6o9ro:> (4) lrl>zl|l sooctu r,A o e.€ E{ef 6oe.r.o:> Rough Work
E 2016
t2-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
\=
www.myengg.com
AP EAMCET 2016 Question Paper
tf a=27 +37 -sE,i=ni +nj +128 a =ZT +
n) (3)
Zj
-
-zq -to\
(
z+ -ze\
.
+
ax6=0,then(nt,n):
nj + I 2k soootu
(4)
[;.;.] le
l=a
2s
tt a.t ,e
Ax
e)
[;.;J
lal=z,16l=+
lz
i : ni
(
32. rr lal=:,
(1)
SE,
and
and the angle between
a
$
and
b -- 0 ero::6, (m,
:
( -24 36\
[;.;J (
24 36\
[;,;]
is 120", then l+a +Z6lis equal to
so"s, (a,a)=izo' *o.ra, l+a+:rl a*s (3) 13 (2) 7
are non-zero vectors such th ut (a
r)
(4)
,6)re =Lltllela , c La
12
and 0 is
the angle
,t
between the vectors b ,c then sin 0 =
1a";)"e=ll'llela
, a La
so.ur, 6,a o 5o6g$o5r gerd:ge;tl: a,6,e *e{r3Edd
$adoc 6od, er$36r sin 6 =
(i)
t l.t (.2)
1
(3)
3
,5 3
(4)
2
l
Rough Work
82016
.o \
13-A
\,s ( {r
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr
34. If a(axp)+b(pxy)+c(yxa)=0 andatleastoneofthescalarsa, the vectors
a,p.V
b, cisnon-zero,then
are
(i) parallel (3) coplanar
(2) non coplanar (4) mutuallyperpendicular
a(axp)-61pxy)+c(yxa)=O Soo:, -;- r/ e.)) oJodeD a,lr.
a. b. cepade.:ef SbSo a,dc3 drd5ddo
(1)
Siroe5d5,::o.>
(2)
(3)
$e50cdre))
(4) Sd536o e>oaorr
oo::d,
ep60c6:.oc c6.:cotr"o::
35. If the mean of 10 observations is 50 and the sum of the squares
of the deviations of the observations from the mean is 250, then the coefficient of variation of those observations is
50&o5.: $dE5oo 50 Soooi! SdESoo Soo0 ;:,ij es 603er5e> irje.:S 6:eo5o 10
(1) 25 36.
(3)
to
{
irjoo.o Sgo
a::g[o 250 u,oo6,
(4)
10
5
The variance ofthe first 50 even natural numbers is
tscrde 50 SB Si:.a $opge 833
(1)
(2)
4
i$S (3)
833
\. / ^.*.\_v'1 "l/t !r-
'/,
)i7
".'*L' ..alr-"r \i
82016
\p ",
-
t\#lq
(4)
437
437 4
#t
o$brt u,Eq,-,-, l'€ld
"frAr:/ -l-s' - l-t
WCI
14-A'u/"'r
I
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
3j
.
AP EAMCET 2016 Question Paper
of6 vertices ofa regular hexagon are chosen at a time at random. The probability that the triangle formed with these three vertices is an equilateral triangle, is 3 out
e.5 $5oXrc6:;e oir$2, 6 &oloef 3 Sqe:So c5r63Q;5om e"t&o Sqe,:A bdld 1&4bao e"5 $5oa'5r: 1SAbaS:: s"6e; $osr'5E6'
(1)
1
2
I
(2)
(3)
5
1
10
Jottuso16' e: 5:s'60
(4)
1
^
3g.
A speaks truth in 75% of the cases and B in 80% of the cases. Then the probability that their statements about an incident do not match, is
$odoloef A$65o 5:"i.:-6o"6o, 80% $o5o1oef t$0o.1 a"ct Et:J Sf)c6o SdS36o Sd8od So+"5E6.
75%
(1)
7
20
3
(2)
(3)
20
2 7
B 5e55o 5:'eJ'6o"6:' a"5
(4)
$ofubs
5
1
t
If the mean and variance of a binomial distribution are 4 and 2 respectively, then the probability of2 successes ofthat binomial variate,( is e.5 6556 SqIaSo
dr66
5o6g5oo Soocd::
;l$So: 56$m 4,2 coor:d, es 6556"5oo'3
X d>56 3o6: $6ode.: Soa'SEd (1)
I 2
(2)
2t9 256
(3)
3t 256
(4)
7
64
Rough Work
r,2016
.0 \-
ls -A
\$fu' J
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
40. In a ci{z 10 accidents
take place in a span of 50 days. Assuming that the number of accidents follow the Poisson distribution, the probabilif that three or more accidents occur in a day, is
$6doef 50 6*alo 5g56ef 10 $5.:"o"o $oq5$Qor. g55:.o"o Soqpg e,S $o::asS Serao'S; erSoSo Qo65oSod, e.(6 6"a,et' 3 do" esou5 dod J$;5 S5ro"er: adi{r{e.:
e.S
5oa"$5d
(1)
L'-ilr,^=0,
(3) ,-i"-i!r,rol,
4
1
.
(2) (4)
q: ) "k
l" ! x
.s"=o.z
3 -) .k
l" ,! ,s'=o.z
k=o Kl
Equation of the locus of the centroid of the triangle whose vertices are (a cos (b sin k, -b cos fr) and (1, 0), where fr is a parameter, is
&,
a sin k),
fe"S $o"ic& coor:55y6c, (a cos k, a sin fr), (b sink,-b cos ft) 5ooo5r: (1, 0) o5o 3o3o:n" r{e.: q&e;f:a
€o16a.5o d::S5 &o6o $6 $5:5deoo
(1) (l1x)2 + 9f (3)
-- a2 + bz
(3x+1)2 + (3y12: o2 a 6z
(2) (3x-t)2+%?:zl+zf (4)
(3x+l)2 +
13y)2
: zl
+ 3b2
Rough Work
f.20t6
16-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr
fEt c"d;'l
lczl 42. Ifthe
coordinate axes arc rotated through an angle
I6
about the origin, then the transformed
equation of .1fr *2 -4ty+",f1 y2 =o is
Suo ooc$$sdoo
f
Seooe cdr55 eog"o5o
GJfoEao
Jl *2 -qry+.,f1
db5O6J ,
y2 =o
d::62, Cu"$o6d5u AoOS 65:$deao
(2)
(1) Jl y2 +xy=s (3) Jl y'-*y=o
tz - y2 =0
(4) Jl y2 -zry=s
43. Ifthelinesx+3y-9:0,4x+by):0,and2x-y4:0areconcur:rent,thentheequationof the line passing through the point (b, 0) and concurrent with the given lines, is
0, 4x+by) : 0 5roc6r 2x*y4 : 0 -6q:w er$oige.:o:rd, (0, 0) ao5:6 nloa'#dr., 5gi dq)erd eo$oi4io erotg 6+ $Srsdeoo (2) 4x *7y + 20:0 (1) 2x+y+10:0
x+3y-9
:
(4) x- 4y + 5:0
(3) x-y+5:0
44.
f
The midpoint of the line segment joining the centroid and the orthocentre of the triangle whose vertices are (a, b)., (a, c) and (d, c), is (a, b),(a.c),
(d
c) e.:So 8o3er:rr r{o 1&4bao
dr
56
3o164"$o
5oB
c6:: ooa€o6ro5o (0+o
derq:o6o dr(2, 5:6g ao5o6.
u) (5a+d.b+5c) 6)
frl (9:4.y-) 6) \6
(3)
(4)
[6
(o,
c)
(0, 0)
Rough Work
820t6
t7-A
rS It']
,\"r
\l
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
45.
46.
AP EAMCET 2016 Question Paper
(i, i) with respect
The distance from the origin to the image of
$r"e.:
&o6$
(1)
iJi
5oo6,
x+y+5:0d+ 63{5 (1, 1)Ao6rO
(2) 3J,
(3)
to the line x+y+5
oa::S6 @eaoa-&S .{e)
:0
6rdo.
(4) 4J,
6.tD
The equation of the pair of lines joining the origin to the points of intersection r'-y' - 9 and x+y - 3. is
,2+l :9, x+y:3
e:
po65 Oodc$o5o
is
5::"e.: Ooc5:$6: 5o5n-
56;
of
Sdf6qr"o5Dd6o
O::S5 S5:56eoo
(1) (3) 47
.
l+ Q-i2:e x2
-y2 =9
(3+y)2 +
-
| SoBoJr
(q (1) l;,;+\ \J J,/
l
f-xy-6x2 - 06perd
e)
(z z\ [r.r.,J
y2:g
'y:o
The orthocentre of the triangle formed by the lines x+y
x+y
48.
(2) (4)
:
1 and
2f -xy4x2 :
0 is
5O3do gOelao ob:56 e.:oarBo@o.
(3) (3
+)
(4)
(i +)
Let L be the line joining the origin to the point of intersection ofthe lines represented by 2x' - 3xy - 2y' + llx + 5y : 0. If L is perpendicular to the line lu, + y + 3 : 0, then k :
2x2-3xy-Zf + 10x+5y:0d S:.ao,Joddpei eo65 OoSo{5o, baro aod:gd 5er:5n" 5i3 Sdf6e)5o Lerso$o6.6 L$6f6q:, la t y+3:03 erooon- a.od, i: (1)
1
2
(2)
-1 2
(3) -1
(4)
I J
Rough Work
82016
l8 -A
http://www.myengg.com/engg/info/tag/ap-eamcet/
r
www.myengg.com
49.
AP EAMCET 2016 Question Paper
r[
touchesthelinex+y-z:0at(1, with radius tangent drawn from the point (1,2) to S:0 is
A circie .s:
0
1).
S:0eri a,( 53{o, $dd6p x +y-z:0So erfydo (1,2)Ao6:$ SooB S:09 4fl5 53d16a: +66.
]J
50.
5{
SPaQSla'
-zx -2y -3 = 0 meets
the circle at
a"g+$on'r{er
(1)
1
(3)
J1
Thenthe lengthofthe
(1, 1)
(2) J' (4)
2
The normdl drawn at P (-1, 2) on the circle x2 + 1? another point p. Then the coordinates of Q are
*''y'-2x-2y -3-0eri
S;giop
P(-1.2)ao5:6 56 A'rs eoQooao, es 53Ec;5c6*
aodo$ Q 5{ Ser:Q5;a. eo$do 0 d::Si, Od:'Ss"o: (2) (-3,0) (1) (3,0)
(3)
(4)
(2,0)
(*2,0) ri
51. If the lines to +2y-4:0 and 5x-2y-4:0 are conjugate with respect to the circle *2 + 1? -2t -2y + 1 : o, then *: * * y' - 2x - 2y+ i : 0 51{o 51{g, kx + 2y - 4 -- O5o0c5x 5x - 2y - 4 : 06pe:) $oc6::n"goor:d. er636c
(1) (3)
i:
0
(2)
I
2
(4)
3
Rough Work
E 2016
19
e
-A
J
\N http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
52.
AP EAMCET 2016 Question Paper
The angle behveen the tangents drawn from the origin to the circle x2+y2+4y4y+4
5::"o sod:g $o& x2+y2+4x4y+4:0 SSqsB AaS s36p6+o
53.
(l)
tan
(3)
tan
'l,(5
\
\1J./
(tz\
'i _ \5/
,
(2t ,*-
l
(4\
|
Iftheanglebetweenthecirclesx2 then
r
is equal ro
*2 +y2
-2*-4y
elo::5{6c, (1)
(3)
c:
31.6 2
9t\6
+
c:0
:
SodSSmo
_/ < \
[;.,J
,/13\ ,-'[r,
+f -zr-4y+c:0and,x2+1?-4x-2y+4-}is60",
Soocdr *2 +y2
-4*-2y+4
(2)
(4)
= 0esd SJqer Jodg
rfe.:
$eoo 60o
6r.6 2
7
xJi
Rough Work
F,2016
0 is
20-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
54
A circle
S cuts three
AP EAMCET 2016 Question Paper
circles
,2+1?-4* 2y+4:0, ,2-y2-2x-4y-l-0, andx2 +y2
+4x+2y+ 1:0
orthogonaiiy. Then the radius of Sis
y2+y2-4x-2y+4 0. *2+1?-2*-4y+ 1:0, r'-y'-4x+2! t I = 0 epd 5x"60 53gi5r:o5o. 539:o
Sooe.:on" +o&Q516
er{6:
S
d::56 a"ge$o
\1,,
5
5.
5n lal
!t
(2)
B
l-
(3)
ltt
5o t'-
(4)
!z
The distance betlveen the veftex and the focus of the parabola x2
,2
-2,
+ 3y -2:0 So-$oc6:o
!
(1)
5
(2)
56. If @r, ! ) and (xr, !2) 4xrxrt Y, Yr: y2
:
5x 5o.Seosoo
erSy6:4x, x2+!1lz
(1)
2s
1 4
ar55
36,$r: SoocdoJ
-
!s
2* + 3y
o'A o 5o6g
(3) ,I
6
I
-
2 = O is
cSrdo
(4)
5
=o
:
5x, then
yr)
eoocod,
are the end points of a focal chord of the panbola 1?
e"d o.0e.g ero"Jgsodc$oo (xy
j-*, (2)
s
(3)
0
!),
(x2,
(4)
: 4
RoughWork
F.2016
2t-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
57.
AP EAMCET 2016 Question Paper
The distance between the focii ofthe ellipse x
x:3
cos
0,y:4
sin 0eo3
6$
The equations ofthe latus recta ofthe ellipse 9x2
O* + ZS1? -
36x
+
50y
-
164:
0C
Sr,)od
(1) x-4:0,x+2:0 (3) x+ 6:0,x-2:0 The values of m for which the line
-
4
.in 91,
36
+2r? -36x+ 50y- 164:0 are
5S53g[o d::52, o.&oooSr:e.: $55dea.oJ
(2) t-6=0,x+2:0 (4) x+4:0,x+5:0 y
:
mx
't 2 becomes
a tangent to the hyperbola
it
4x2
-9y2
lxz
-Sf :36 era 5o.5eo5>cB, Sdf6p y:
rzx + 2 53dp6+ s.Sa-sB rn
dr56
sq:Serc
't-li
) fi) +-
t2l +-
J
(3)
y:
(2) iJ, (4) iJl
(3) Jt
59.
3 cos 0,
53gio o3162, o"41:er Sogg 5:.6o
(r) 2J1
58.
:
rt
J
(4) +-4J'
8
J
Rough Work
82016
22-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
..\
www.myengg.com
60.
AP EAMCET 2016 Question Paper
tr
The harmonic conjugate of (3,
-2,2).
(6, -17,
(2,3.4) with
respect to the points (3,
-2,2),
(6,
-fi , a) is
-4) ao6:go a;{g, (2, 3, 4) o:::65 ir.o:6g6 6ocdr:r{6 aoc5:g
(i) (::i)
(2) []!._r.1) s)
(3) [-'*.:.:) \ 5 4 5i
(4)
\5 (ts I (s -.-
).--4) 5) _
|
61. If a line makes ang^les a, p, y and 6 with the four diagonals sin2a + sin20 + sin2 y - 51n25
of a cube, then the value of
15
a,5
dq:, e.5 fuSo dr:S6 o.q)Jt$ so"e)ef a,
sin2a+
sin? B
+ tinzy+ sin25 a>s6
(l) ;4J 62.
(2)
fl
7, 6$eo"er:
d!,
c.lS
q
(3)
l
1
(4)
3
1 3
If the plane 56x + 4y + 9z:2016 meets the coordinate axes inA, B, c thenthe centroid of the triangle l-BC is e"5
6oo
56x + 4y
+ 9z : 2016, Sd:.Jg'o5o A, B, C &o5oge:
r[, ,1,
o $o(3qloo, ABC
q8&ao d:r55 3og!a.So
(r)
(t2,168,224)
(3)
I i2.
(
\
(2)
't'tt \ i68. -"',
3i
I
(12, 158,
tt2)
(4) (,,, -168,+'l ))
Rough Work n^
-\
o-\
q,^"iy'e" /r--/
/'1 \\
Y'^i r ,J P"sYf-V, ->.1-li '\€
82016 -N.! /
,
"*r) $
.,ry5op,* SFzs " 1V "-;/i (.'.Y./ \_,/ I
23-A
,
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper t s.t c"d"l
lczl 63.
The value(s) ofx for which the function
[l-*
, x<1
x<2 , x>2
,r(r)=](t-xX2-n), t^
[3-,
1<
fails to be continuous is (are)
(1) (3) 3 1
1-x
(2)
2
(4)
All real numbers
, )c
I
/(x)=l(1-x )(2- *) ,l
2 l.3-, eetu pJ)cDJo
it}5ro eod:g x &::56 Ser5(o:)
(i)
1
(2)
2
(3)
3
(4)
.&J a"{55oq:ger:
6' Lt 64. x-+0
*3' -2* +r x2
(1)
(log"2)logn3
(2)
1og" 5
/?)
log"6
(4)
0
Rough Work
82016
24-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
I
www.myengg.com
AP EAMCET 2016 Question Paper
f,'+bx+c x
^. 65. D.fin" "lt")=1 [x po$c$o
I
(x)
. . Iff(x) isdifferentiableatx: l.then16-c,)-
, x>l
il
('t
lx'+bx+c . xcl , x>l [x rr &d5r)go. x : 1 5{ /(x) er56o$cd:o ero::d, eo$y6o (b - c) : (1) -2 (2) 0 (3) I (4) tG)=1
66.
If x : a is a root of multiplicity two of a polynomial equation/(r) x = a epi8 e"5 oJro$6 $556eoo
:0
/(x)
(2) "f" (a):f(a)=0 @)
67. lf y:log2(og2x), tnenff
ttt
(3)
0, then
6::52, Boc6&6 es5;e!Sodo5 Sr>e:o eror:d,
(1) f'(a):f"(a):o (3) f'(a)+0+f"(a)
y =logz(log2
:
2
"f
(a):f' ("):0;f"
(a) + 0
:
x) ero>d, eo$Jcb
[:
dy_ dx
log"2 x loge x
(2)
(4)
(xlog" x)logu2
log,(2x)' 1
*(tog2*)2
noug\$rx !/
t. EAtidF
25
-A
NNU
http://www.myengg.com/engg/info/tag/ap-eamcet/
L' '-
www.myengg.com
68.
AP EAMCET 2016 Question Paper
: r2.,E so"s,
y2 + x2
(1) ;EJ
0.
0 So8ctrD
1
6
(1)
1t
(2)
A>0,8>
7t (3) 'o -
i
, then the
f
E
A+B--
3
12
maximum value of
t
an
eoo::d, er$yc{: tan I tan B
(2) ;l
1
:8x
5o0c6.:r xy
(l) y:2x+ I (3) y:x+2
:
-1 epi
(4)
,
"f
:
g;s and
r7
Seu$
J1
: -1 i,
51s.e.:6: A,tS 650&& fpdpdq> o3:.:S1 S5:ddeao
(2) 2y:x+6 (4) 3y:8x+2
71. Suppose/(x) : x (x+3) (x1), x el-t,
/'(c):
A tanB is
dr56 6Of
I
(3)
E
(4\
The equation of the common tangent drawn to the curves y2 y2
o2,it
-f : o2.e SgS::o 5o6g de> $65 $eoo
*2
69. If A > O, B > O andA + B --
7
:
The angle of intersection between the cuwesy2 + 12 = o2 nD and x2 -1?
41.
Then a value of c in (-1, 4) satisfi,ing
10 is
(*):x(x+3)(x)),x e[-1,4] er5osoo"o. (-1,\
ef
f,(c): 10,$ er&5dd coi:r66 e,5
&ooS
(1)
2
(2)
t 2
(3)
.7
3
(4)
,
Rough Work
E 2016
26-A
\
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
5-t
72. rc l'3 "s' ar=j-(f {r1)*",then/(x): 5r
[*3
'5*
ns'
dr=1;(71x1)+c erood. ersycic/(x):
(1)
*3 3xz 6x 55',5',5*
(3)
52x3-l5ll+3ox*6
73.
(xz +2x+2)2
(1)
(2)
(3)
6
(2)
-)) -'l -'l )-x--)-x"+)-x-o
(4)
53x3-7sxz+3ox-6
dx=
x +t 1(;r+1)+c --tan x2 +2x+2 2 1
x +z 2(x2
+2x+2)
*2 4(xz
-z
-1,un 2
'(x
I
)+c
*ior-'(x+1)+c
+2x+2)
2(x -1\ 1 ,1\ --^ a+-tan (+'' +2x +2) 2 t
'(x+ l)+c
'
62
(C is an arbitrary constant) (C e"S o5r51a;S "Edo"a)
Rough Work
82016
27-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
74. tf J log(a2 + x2)dx=h(x)+c,
then
/z
(x) =
!log1o2 + x2)dx=h(x)-c epo::d, er$ydo /r (x)
(l)
xlog(o2 *
:
r'1*r*r'(|)
(2) x2log1a2-r'1-r-rtun'(])
(3) xlog{a2 + *2)-2* ,rr*u'(I) (4) 75.
x2 log{a2
Forx > o, ir
+
121+2*
-
* r^t(*)
a=
J(toer)5
I
'[,](rogr)s
+
a(togx)a +c(togx)3 + D(tosx)2 + E(logx)+
F]
+ constant.
ir]
+ ""r6o"a
thenA+B+C+D+E+F:
x>os. lloz*1s ,
[,]
ar=
(rog r)s + B ( log x)a + C (tog r)3 + D (\og x\2 + E(rog x) +
ero::d, eobyd:l + B + C + D + E + F
(t)
-44
(2)
(3) -40
-42
(4)
*36
Rough Work
82016
28-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
a
www.myengg.com
76.
AP EAMCET 2016 Question Paper
Thearea included betu een the parabola
x
2
bo-bocDr
-4a (1)
.)\ o2l 2, +11
(3)
a"(I lt+-
--2 8a3 y=L andthecurve / - ---;---:-- (x" +4a") 4a
8a3
S
5:0oir: 'v=' ^^ (x' + 4a'1
ests
/
77.
(
\.
3/
4\ |
3l
u*(-L*++ I
^ a,(I ztt--
8)
(4)
a ,(I ltT--
4) 3)
\,
^
I
|
of
+
"*-[ 0fl6
SSr6erSo &d5,55o
"--[Jr2-l
|
3/
,ln2 _22
Jn2 _
ri*(-L*-
Sqs"e3 5o{ g aDc& '6'53 tsa-ogo
(2)
By the definition ofthe definite integral, the value
is
\
_,11 "lrr-22
l.
.
t!n'-(n-r)'
l-
)
(1) It
(2)
(3) nlt
(4)
ft 2 1t
6
Rough Work
E 2016
29-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
r-
www.myengg.com
AP EAMCET 2016 Question Paper
tr
fs*rcoa;l
lczl ,/( ,z \ -/4 I x+-
i8 I
lr*;V* -%l )
(1)
79.
|
8tr
zxJj
(1\
^13
+t iJ
(3)
1t
(4)
,l; o{J
h, y'\*(, - / [ - r*n-r v)dy )dx
The solurion ol'the ditterential eouation -^---'-----r--""..\
esses $tusd.o (t+12)-(r-n"" -r ,)
dv
x etan
rY
2x etan
:tan-t y
'Y
=
shan
*
c
'Y
-
y
(2) (4)
g
IS
6 dr56 &dS
.)a*
(1) (3)
2
g2tan 'y
x2
gtar,
ly
: :
e-lan
'y + c
4g2tan-ty
I
6
(C is an arbitrary constant) (C e"5 cdr6;a;S i;do"a) ii
80.
The solution of the differential equation (Zx
er55e$
(1) (3)
-
+
t, +
\ ff+ (x - 2y + 1) = O 6
$tusd.o (2*-4y+s)fi+@-zy+1)=0 arrsU +Os
log ((2x4y)+3) tog
: xly+6
[2(x1y)+5]:
(2) (4)
2(x+y)+c
tog [2(2x4y)+31 : 2(x-2y)+c log l4(x-2y)+sl : 4(x+2y)+c
(c is an arbitrary constant) (c e"5 o5r53'lp5
Qdo"a)
Rough Work
82016
30
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
fs*rc;;l
lczl
PHYSICS
81.
Match the list - I with list - II
List - II
A) B) C) D)
Boltzmann constant
D
MLOTO
Coeflicient of viscosity
D
MrlT-l
Water equivalent
trD
MLT-3K*I
Coefficient of thermal conductivity
rV)
ML2T-2K-l
6a 13oS
5Q5-l So 5€5-II
"f
a.l5d#c5r:.
3€6-I
5(35 -
5;5 3o"o6o eEa
II
A)
ef eI
r)
MLO
B)
Q,1te" t$eoso
D
ML-lT-l
TO
I
c)
Sti
e6o"go6o
D)
6*
r'rr5d5
r$eo5o
trI)
MLT-3K1
M
}y'rL2T1K-l
The correct match in the following is qSoE
a'tSef 685 ad
(1) (3)
A-III; B-I; C-II;D-IV AJV; B-II;CJ; DJII
(2) AJII; B-II; C-I; D-IV (4) AJV;B-I; CJI; D-III
Rough Work
82016
3l -A
http://www.myengg.com/engg/info/tag/ap-eamcet/
-
www.myengg.com
82.
AP EAMCET 2016 Question Paper
Two trains, which are moving along different tracks in opposite directions are put on the same track by mistake. On noticing the mistake, when the trains are 300 m apart the drivers start slowing dou,n the trains. The graphs given below show decrease in their velocities as function oftime. The separation betrveen the trains when both have stopped is
aoctu $Q5;
$tgo 5>6 SE&AS
Edet' ScdrseQ5laod* pdpSo
$dlulS
e"3
$c{e,
5D6So
6
Sfrcdrcl (3:-or3, esc 300 m J6oeJ '451$3do pdp dn"oSo e5flo5i.:o @doOoa-6. a"c3 3n'oeJ e5tf6e.: s'o 653:cscon'i{er 6a 18oO gr$o: f:r&Qo"lor:. 6 Bodo pdp ao"5o "goe dd:S.:53$3c6: a"t3 5o65,alrdo &So6o5o"rd:. a.c3 u565$o
10
(1)
(2)
120m
rG)
(3)
20m
(4)
60 m
280 m
,,,]i
83. Apoint
object moves along an arc of a circle of radius'R'. Its velocity depends upon the
distance covered'S' as
V:KJS
where 'K' is a constant.
If '0' is the angle between the
total acceleration and tangential acceleration, then a"5
Ooa$6r$ SQO 'n'a"g&{o r{o
@o5re8oa5 65deo"CB
drdo 'S' 5:d
5ooctu S3o";
(1) tan9:
S
R
e"S
V:K\6
e556ea"eS
(2) tar9:
53qs-6 o'5o 3oa6 @c6:"e5Qoa. cr$ 3t1o, erE n- ego'd5&58. e52,6 K er5oSa "go'o5o.
5o6g S
2R
ar{o
$oo '0'ero:cd
(3) tand: S ,2R
(4)
-25 t 0:r
R
Rough Work
82016
32-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
84.
t
AP EAMCET 2016 Question Paper
A body projected from the ground reaches a point 'X' in its path after 3 seconds and from there it reaches the ground after furlher 6 seconds. The v^ertical distance of the point'X' from the ground is (acceleration due to gravity : 10 ms-2) -i':S5ooef d:.1: 5oo& S${o dctua:eS a,5 sQb 6"e Sr'foef0 'X' eri ao6o65o 3 dosa. e9 &od:$ Soo& 66:a"d 6 =o5soer$o dr"3rc dE5.5' qir"so 5oo& 'X'aodc$ o:r:S6 Je{ (t$Cu65 65deao : 10 ms-2)
(1) 30m
(2)
60m
(3)
80 m
(4)
90 m
from a ceiling through a sffing of iength 'I.'. If the particle moves in a horizontal circle ofradius 'r' as shown in the figure, then the speed of the particle is
85. A pafticle of mass 'm' is suspended
SiJoe, }SSS 5oo& 'L' +6$ SOn5 o-dod 'm'g555o'a r{e.: a,5 SeaoSo G3er66}6. t$."o$ l6on" (eao 'r'a"g&$o 6o $Aa $5:"odd 5;{o Eoo& rfOQod es Ssoo ddo
e.5
(r
)
r
(2)
s
(3)
l,
'le?
(4)
s
Rough \llrork
E 2016
33-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
86'
AP EAMCET 2016 Question Paper
tr
A parlicle is placed at rest inside a hollow hemisphere of radius ,R,. The co-efficient of friction befween the parlicle and the hemisphere is F= lvhich the parlicle can remain stationarv is
'R'4"5&$5r:
er6iffe'e3 SodS {o{ea r{rEo5o
fl)
efso
SORS eS*oJ er{6"do
p:#
a,5
The maximum height upto
Ao,bo "ge3d
epo::d Seao $o,boftsef
R
(2)
2
l;
(3t '"
Sea'l&
rf,.
+odrlo ,{06 Jee
3R
R
8
87. A 1 kg ball moving with a speed of 6 ms-1 collides head-on with a 0.5 kg
balr moving in the
opposite direction with a speed of 9 ms-l. If the co-efficient ofrestitution
i,
lost in the collision is 6 ms I SA.f 6c6r"€S{\SJ
I kg ao& SEs6s E,re, 9 ms-l 56g .Joe{
5::q:-5rS cs&6r6o aOB:Sa. q5e-g5frS ,{r.S"
(1) 303.4l
Seo.&S,
i,-# \ -/ l*
2
,
6oa,6.
(2)
66.7
J
+
],
m.
"n.ro,
0.5 kg aoe3.f
ero:cd eo&{rrdoef d$S$o
(3) . 33.3
J
(4)
67.8l
Rough Work
82016
34 _ A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr 88. A ball is thrown
vertically down Aom a height of 40 m from the ground with an initial
velocity 'v'. The ball hits the ground. loses
1'd
,
of its total mechanical energy and rebounds
back to the same height. If the acceleration due to gravity is 10ms-2, the value
?iltuS 40 m J63 SooB a,6 oo8 'v' etO d:.S:C e.S, "J5deoo
tu:{o
c5:"o1&5 A$ef
10 ms-2 ero"rd
'v'
dl66
I
1S
ld5!8 CQeo{n" 13od5o iSda656. a:o&
5oe6 $efJo:: 5ods. erd J.{$5u dSsA. rtd:d5
iero5
(l) 5 ms-r (3) 15 ms-l
89.
of 'v' ii
msl
(2)
10
(4)
20 ms-l
If
Three identical uniform thin metal rods form the three sides of an equilateral triangle. the moment of inertia ofthe system ofthese three rods about an axis passing through the centroid of the triangle and perpeirdicular to the plane ofthe triangle is 'n' times the moment of inertia ofone rod separately about an axis passing through the centre of the rod and perpendicular to its length, the value of 'n' is
etfr{
6Qu: a"5 $Soa"Xrr: 1&4$ao dr:56 5x"6o 4brocn5O;aSe. 1&4!a e5o.s3 eooofi- o'c Soqdqlo ,{:oa" d$ er$o 56on' 6a S::"dc SQe.: SgSf a::56 a6e55 pi:-5oSo e.5 d{ s&n" a51Sy6o o"e }6$6: eoaon' 6o0u o"c
Sr:'cb $d565r5 b56e $SJc
5o{g Ooen$ /uoo"
(1) (3)
#$
er$o $don-
6od
a6e55 gn5os'cB 'n'BeD esorrd
3
(2)
6
e
(4)
12
'n'$ocS
Rough Work
['2016
35-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr Two smooth and similar right angled prisms ale aranged on a smooth horizontal plane as shown in the figure. The lower prism has a mass '3'times the upper prism. The prisms are held in an initial position as shown and are then released. As the upper prism touches the horizontal plane. the distance moved by the Iowerprism.is
90.
5Qs-o5: Su:oef rJr"o5d.>on" 5o51& $@a S5:"odd 6oop erSooX&. $oa $QdS:: dr$2, 1655o"4 p S$So oj>:52, @$5o'aB 3 atJJ 6516. SJJ6eJn- itds"o: 5t:oef t5r"o5 $o-eret' 6.51S. ! 5Q$o $ea $SroeJd elo-03 o"€ef$ $oa $$5o @cdrg3oas c5:"6o b ----)
Bo6:
SoS;C 2.3 6@ e.:oe:$ea l8eifors-6
<-
<_ (1) a*b 91
.
(2)
a ---)
-b
(3)
b-a
(4)
a-b
A particle is executing simple harmonic motion with an amplitude of 2 m. The difference inthe magnitudes of its maximum accelelation and ma,rimum velocif is 4. The time period of its oscillation and its velocity when it is I m away from the mean position are respectively. e,5 Sgao 2 m 5o$5 SosJse, Sdd iro"ei65 rJoSS:: dcSNi$sJ8. dEf 65deafr: scocdr>
r{of di{sao Sos}easle Sodg 55e"g$5:: 4. ero::d 5o55Sr:e.: d::66 essg[s s"os:: 5ooc6> es Seoo 5:"6g$o6 {5o 5oo& 1m d:"6od 45153d: SdSDer> 56Sn'
(1)
(2) L',
2s, 2rE ms-l aa
(3) a
/.L
s, 2J3 ms-'
(4)
-l
4'!i
^'-l
s. 4J3
ms'
I
Rough Work
F.2016
36
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper f-s*rcoa;l
lczl 92.
Two bodies olmasses 'miand '9m' are placed at a distance'r'. The gravitational potential ar a point on the line joining them, where gravitational field is zero, is (G is universal gravitational constant)
3o6: sQ{e.:$o 'r' d:"doef '6o;"d>. ;i3&. 5o:$ 6df6e)-"r r$CDd5!L6o {r5gSoo$g Ao6$ Sf; &d:el5 }8{c6e5 Jo:S 'm' 5o0o5:c '9m' g55go-d:o:
,
de.:
(G erda Cd5 rtfue55 "6o"o5o)
^
-l4Gm
(1)
(3)
93.
-16Gm
r
'
-l2Gm
(4)
r
-8Gm r
When aloadof80N is suspended from a string, its length is 101 mm. Ifaloadof 100 N is suspended, its length is 102 mm. Ifa load of 160 N is suspended from it, then length ofthe string is (Assume the area ofcross-section unchanged)
N o a:-o.&; @e66"o55ydc o"& &dg 10i mm. erd "5o1eS 100 N a-o.Q @o-66tu5S95: 6"e +60 i02 rnm. 6o1st 160 N a.o-sJ @e:.66"o$iyd: es 6o1S &d$ (6o1S er6;$6 Ba.ogoef 5rd:Sd6SoSSoSr:)
e.5 do1& 5oo& 80
(1) ,
15.5
cm
(2)
13.5
cm
(3)
16.5
cm
(4)
10.5 cm
94. A sphere ofmaterial ofrelative
density 8 has a concentric spherical cavity andjust sinks in water. If the radius ofthe sphere is 2 cm, then the volume of the cavity is
&*rS &o$6 8 6o So$fr*So bS €o@S 6*e-s.d $icdoso sOE 6o& 5{3eJ So,'r- S!&ESa. 6"do ob56 a"g&$o 2 cm ero::d SdJ6o obrS& fu5 SBSreao
76.79.82.88" (l) T.r(2) T.*-
(3)
T.*'
(4)
T.*-
Rough Work
82016
37-A
I
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
95
AP EAMCET 2016 Question Paper
tr
A hunter fired a metallic bullet of mass'mr kg from a gun towards an obstacle and it just melts when it is stopped by the obstacle. The initial temperature of the bullet is 300 K. If
lth
i
of heat is absorbed by the obstacle, then the minimum velocity of the bullet is
[Melting point of bullet: 600 K;
gl
'C-1,
6 cal
5ll
Specific heat of bullet:0.03 cal Latent heat of fusion of e.6 3i.:n"6r
bullet:
err)e 5oo& 'm'kg g555o"a 6o efir.{ rud0I5o er$d6o
pOS.: =o03o"6o.
6*6"5
300 K. es56"6o
ruO055o ep$6'6o er3:55y6:, erd01 iyQn- 50E56. a:cO05 AO 1
75
Soei:
'6rte;
[aDoui @5qJ55 aroeS
$5o
:600 K,
saff$S:: :0.03
aDOu5 @5qJ55
(1) (3)
s-ileoo d6o5.:od ertrJb a>OeS dr:S6 SSf dt{o
cal
t-l
r$q65. :6
o6-1,
cal
g
1l
410 ms-r
(2)
260 ms-l
460 ms-1
(4)
310 ms-l
Rough Work
82016
38-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
a
www.myengg.com
AP EAMCET 2016 Question Paper
Eii 96.
'M'. kg of water
i,r' at't'oC is divided into two parts so that one part ol *us
converted into ice at OoC would release enough heat to vapourise the other equal to
I [Specific heat of water: 1 cal g 'C-1, l, Latent heat of fusion ofice:80 cal g 1l Latent heat ofsteam:540 cal g
t' "C 56 rfo 'M'kg Stic do6o q:'n'errr pdet ero6od 'm'1
e,:.t{o OoC
&6: d e:
m
, a*S oC 1, t$d ea**s], : I cal gr l, Soodc 65ds$ 6rq*5r. : 80 cal g
dbSa. eoo::d
er6qd55
(1) 97.
640
drq*S. :540
-t
cal
8ll
720-t
(2)
(3)
640
640+t 720
A diatomic gas (y: 1.4) does 300 J work when it is expanded isobarically.' the gas in this process is
(y:
565 4"5$r5o aqa5S36) 66"6:ef a"o5::d16o ero6dc6:er&5 +go
2.5 a5$d5rso:S a"c6r:$
(l)
98.
(4)
1050 J
(2)
1.4) S5o
950
J
(3)
600
J
(4) by25%,
When the absolute temperature ofthe source of a Camot heat engine is its efficiency increases by 80%. The new efficiency ofthe engine is a"5 s"6) 6$c6:o16o dr:52, a55o SdSo a'q6650 25% =oort5S56:
=o0ir56. cScolelo t2%
(r)
ArSl
1S{ 6{el
(2)
24%
(3)
48%
(4)
656
80%
36%
RoughWork *ll:
82016
39-A
,*r
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
99.
AP EAMCET 2016 Question Paper
A cylinder of fixed capacity
.2litres contains helium gas at STp. The amount of heat needed to rise the temperature of the gas in the cylinder by 20 .C is (R: 8.3 1 J mol-lK 1; 67
{oSfoSr.o 6o bOod6d STP 56 u.r"Oc$co a"cdr:g 5oa5o. ?:Ood6ef r{e.: ;o5r$ 6*({650 20 "C -oot5:r.:6r er5$6A:5 6*dg (R: 8.31 J mol-lK-l) 67.2 OeJ6 "Bd
(1)
748
(2)
t
(3)
374 J
1000
J
(4)
s00 J
100. For a certain organ pipe, three successive resonance fiequencies are observed at 425,595 and765 Hz, respectively. The length ofthe pipe is (speed of sound in air
:
340 ms
l)
a,5 eso"S f,'(:"C8, 5r:.c6: ep5oo,5 *S:Xgo-go$o
nqo }66 (n"Oef 65CBr1o :340
i{So$oa"c!. erord
(1) 101
il
5dc6n 425,595 ioocdl 765HzSg
(2)
0.5 m
(3)
1m
1.5 m
ms-l)
(4)
2m
. A student holds a tuning fork oscillating at 170 Hz. He walks towards a wall at a constant speed of2 ms ' . The beat lrequency ob_served by the student between the tuning fork and its echo is (Velociry of sound - 342 ms t)
$$
e,5 So"6Q 170 Hz
n-5EO
56Qo)dr.
5o3:Q51
d;e doa"s1 Sq5oe6J. esd6o 2
*r-l
qO S&ef
e,S
d;e5oes.C3 Soocdrr 6"& 1;5S6503 SodE ao"EB r15o0o,)S C(:3od5
i'S:g5go (65c di{o 342 ms-l) (1) 2.sHz (2) 3Hz
(3) tHz
(4)
2Hz
102. An infinitely long rod lies along the axis of a concave mirror of focal length'f '. The nearer end of the rod is at a distance u, (u > f) from the mirror. It's image will have a length er5ouJic$ o3,r:56
(1)
82016
$5$i{o
S5:3 ')5d,
u+f
e.6 $Qe 'f 'o'q55oe5doi{o e.6 Jgt:-s.d dd;eo er{o
6d3eoo 5oo6 u (u > f)
(2)
Boo& .aoa"d:.
SQ
6r6oef 6od o"0 $&Ooao &69
(r,
u-f
f2
u+f
(4)
f2
u-f
40-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
I
AP EAMCET 2016 Question Paper
03. In Young's double slit experimenl. red light ofwavelength 6000 A is used and the n1h brighr fringe is obtained at a point 'P' on the screen. Keeping the same setting, the source of light light ofwavetength 5000 A and now (n+l)th bright fringe is obtained at point the P on the screen. The value of 'n' is is replaced by green
cSoo6 aocc ISOS $o3c"r(oet' 6000 'P' Aoc5:$
A
d6or(dd*5o .r(o'JCud; s-o&& o"6, 6dbJd
5{ n 5 ao:d: SeSC L:U;fa"O. (dri{
er5oo55o S>.d>J dc$:6!o@- eoer.f,
-6otl, s-o8 a5s-e1 5000 A r{o er6oS'5; s-o8 a55od SrO36d*g, "SOoXp6go 6d$d P aod:g 5( (n+1) 5 Bo,{: f{ 5d36oa. n aws
(1) 4
(2)
(3)
5
6
(4)
3
of charge + 10 pc are kept on Y-axis at y : -a and y : +a respectively. Another point charge -20 pc is placed at the origin and given a small displacement x (x<
104. Two charges each
|
4r
+
€o
)
do Bodo
egJa"oSc Y-er{o=o y: -a SoOoJoo !: +a 5{ 6.or5a:65e. -20 prc esJdo rler a"( 0o6o erJa'C1 Scc.o0o6og 5{ 6o0 X-er{o BooB 55o; $Sldodo x (x<
(,\
10 pc egJ.to
' -9.109 Nr-rr2 c-2 - .'4ne6 )
I x 5:oo5:: a Secdef
\.
(1)
fN a-
|
(2)
*-
(3)
$N
(4)
$N
Rough Work
E 2016
4t-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr 105.
charges, each 2 pC lie at the vertices ofa right angled triangle as shown in . Forces on the charge at B due to the charges at A and C respectively are F 1 and F2. The angle between their resultant force and F2 is e"s2,52,e3
2 pC 6e: Sd5SSrSpS eg3a"oc 5C.:oet'
6r)*.
B
${
ooa:$ea
5oEc6x F2. 6a a:o5.>:o 60.5 a:q:'CB F2 S 5o6g
BL
o\ :t '(
(1)
16)
Sr:.ere.:
5{
181bao '5r5e;&5 rlo'egdds::a ASooosD C 5{ r{o es3d$:o $o5 aosr:er:
(2)
tan '
6o $o5r:
C
(s) 1.7.1
4m
(3)
'[;J *' ,/re\
,(t\ (4) ,* '[r)
106. The figure shows equipotential surfaces concentric at'O'. The magnitude of electric field at a distaince 'r' meters from 'O' is
5bo
,5o6o 'O'!:5 to6Son" 6er $5o
$cl{c6:5
6e.:-oJ i>:"flo,5a&5&. 'O' 5:o& 'r'
fuod
d,:.doef sc5:55 {@ ie.::S 20v 30v 60v
o 30 cm
(1
E,
?1016
(2)
4u* ' r-
(3)
),
iV,n' r
(4)
9ur-
42 - A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr
fs*rc;;l
lczl 107. Aregion contains auniform electric field
E:1f Oi+:Oj; Vm-I. A and B are two points in
the field at (1,2,0) m and (2, 1,3) m respectively. The work done when a charge of0.8 C moves from A to B in a parabolic path is
Vml. ASooos, Be.qdaod) Ooci$oo es {@od Scu$n" (1, 2. 0) m sooctu 12, I. 3) m 5{ +514. 0.8 C esBd5r: e,5
glo65oo60 b56e s6oE5$1"5 &p5.! E:ttOir:Oj;
A 5oo& B 3 5o'5oc6: S:"foef SAOSOdT a0E6 50
(1)
(2)
8J
(3)
80 J
(4)
40 J
16 J
108. When a long straight uniform rod is connected across an ideal cell, the drift velocity of electrons in it is v. If a uniform hole is made along the axis of the rod and the same battery is used, then the drift velocity of electrons becomes
(1)
(3)
(2) >v
v
(4)
zero
s51c +dps b66s o"n SQC es6d; {oure; SObSOdJ, ccefc JolgSoo @'g 56 v. es 5ft ergo aoeJ& b56& do6re; S"o, Sodo erd o'gt:6& 4"6d, a{6 SQd Je.:1g$oe>
t.[ sa (3)
(2) >v
(1) v
(4)
soSJ
109. In a meter bridge experiment, when a nichrome wire is in the right gap. the balancing lengrh is 60 cm. When the nichrome wire is uniformly stretched to increase its length by 20%o and again connected in the right gap, the new balancing length is nearly Sreau:
pg 65d:.rloef S\re EO q:'9.f
a.g
e$$
&rl5o
Sob566
Soc5:e5
*66 60 cm.
a1$5: &6 &6650 20% -ocu65dr: 5S6en" &.{6tu Sode Su&pO w'$ef So3:d,
$o6;o5
*66
(l) 6l cm
1sg1
$o5rd:n"
(2)
(3)
31cm
51cm
(4)
41cm
Rough Work
E,2016
43
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper ( s.'tc-d.
lczl
110.
l
A loop of flexible conducting wire lies in a magnetic field of 2.0 T with its plane
perpendicular to the held. The length of the wire is I m. When a current of 1.1 A is passed through the loop. it opens into a circle, then the tension developed in the wire is
+A &6 5e-:c6:o d::6; doo 2.0 T ec$:i1od tl6od ooaon- '608' ee &dld$ 1 m' o"C o"5o. 1.1A sd:gd 5ob5 eg6 S;qs'dorr Sr'ESa. er$Sd: es &det' 56Jdo 'JSS"'
e.5
(1) (3) 11
(2) (4)
0.1s N 0.3s N
0.25 N 0.45 N
1. A charge q is spread uniformly over an isolated ring of radius'R'. The ring is rotated about its natural axis with an angular velocity '
Ra"g+$sr: do b(6s Eor{:=o qer3d5:.:5g6e.i" SdtJar&sa. ooa{: eJs Sr'a er$o 56onco feScUc 365D6" g55oeoo d!, o'0 erc$ci1oe5 S5635 pr5o6o
(l
ot,lR2
)+
qoR
Qt ?
(3)
qoR2
(4)
qo 2R
112. A magnetic dipole of moment 2.5 Amz is free to rotate about a vertical axis passing through its centre. It is released from East-West direction. Its kinetic energy at the moment it takes North-South position is (B,1 : 3 x 10-5 t).
t{o a,5 erc6:i1od 456$5:.: o"e Sodg Oocb$ t{:oa" 3te{:51 &Qcer:dl er{o 5don" *5'5;n" g55ootu 8o6r{od:. gi 6563a"&1 etu63-6d5od Ad 5oo& $dode) drg, 6{d-6$ea EdSo d65odr, o-e r{sd$ (BH:3x10-5 T)
2.5
Am2 La"SogS)
(1)
s0
rrJ
(2)
100
pJ
(3)
175
pJ
(4)
751t1
Rough Work
E 2016
44-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
113.
AP EAMCET 2016 Question Paper
tr
of A branch of a circuit is shown in the figure. If current is decreasing at the rate i03 As-l, the potential difference between A and B is
$iJod ':$'"'10'6' sf::55 654"s-5r:
e,6 Se.:oj:oefo e,S q'n'&J
103
Asl
.s'5J$ eJqer,
-eod, ASoscSr: B o Xr:6g &6{cSce5 dc"
l* I
A
7A
4V
(2) sv
(3)
24,
(1)
1v
ffnflmr g'nH
10 V
.B
(4) 2v
capacitor is totally filledwith 114. The natural frequency ofanLC circuit is l25kHz.Whenthe 25 kHz. Dielectric constant ofthe a dielectric matlrial, the natural frequency decreases by material is nearlY
LCSoc6c SXra
#5:{55o l25ld1z.3}'"rb65o o'd6 So"$o"f {vQn'cob553dc $*ra
*5:{55,oef0 e5K;5o
(1) I
1
3.33
25
kHz 6'66 b6'g 6'65 tuo"odo $c5rd:n"
(2)
(3)
2.t2
1.s6
(4)
1.e
1
wavelength sequence ofthe radiation sources in increasing order ofthe of electromagnetic waves produced by them ' ( X-ray tube, Magnetron valve, Radio active source, Sodium lamp
5. choose the correct
1) (2) Radio active source, X-ray tube, Sodium 1amp, Magqetron valve (3) X-ray tube, Magtetron valve, Sodium lamp, Radio active source (4) Magnetron valve, Sodium lamp, X-ray tube, Radio active source 66odp$5o i:oi 155ooef a,l;$ Sc$56c6:i1o6 ssdeo aSs"o 535 $5:"s; Jot$s$o5r' (1) X-SdEoo'do, tuS{t-S o"do, B&a:' a'E&g es550, Rr&cd:o 65o (2)
AAd:,A"OgS a55o, X-Sdeao"do, ff&c6:o 66o,
tu5t[e;-S o"do
(3) X-Bdeocdo, 5:"5r[t:'5 o-do, d'6c$co 6tro, 6&d)'4"065 a55o (4) 5J".$r'5 o"do, RF&c6:o 63o, X-Sdeao"So, d&Aro"OgS a55o RoughWork
E 2016
45
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper f--s-i c,"d" I
lczl
i 16. A photo sensitive metallic surface emits electrons when X-rays of wavelength'1,' fall on it. The de Broglie wavelength of the emitted electrons is Q.{eglect the work function of the surface, m is mass of the electron. h-Planck's constant, c-velocity
ilUf ef*r{
'1,' 6dodd$go SOES X-Sdeo.o: e.5 ado,{:e6co8.
6g0d
117
(6oo $e653rc6r01 e$g0ot5:S::,
- $oS fio.o6o, c - s-o8 3do)
0) r/E^" * (3)
.5oo-o $e5$do JeLESoe.6qdo
Je.:qg5oo A1e:-o$ SdodA$5o
m Je.:qg5o 1d55o-4, h
oflight)
th
r
\2t {r_.
ffi; { r,i
,Gi
e) {;
. An electron in a hydrogen atom undergoes a transition from a higher
energy levei to a
lowerenergy level. The incorrect statement of the following is
) (2) 3) (4) (I
(
Kinetic energy of the electron increases Velocity ofthe electron increases Angular momentum of the electron remains conslant Wavelength of de-Broglie wave associated with the motion of electron decreases
ir1d"a5 bd5rso$eJfe JotgSo erOS{$ Sor: 5oo& ero;d$ Qo:rS 5a lBoA @5#o.e.:ef SEo3rSA s"oa
e"5
(1)
6o155oeoo
Bo658.
Jo1g5o dead! =.:tl:tu5o
12) Jo1g5o
3i1o =":d:t{:$o
(3) Jerqg5o SeBc6 @s5dtlo "66on" *odb$o (4) Jo1g5o #ero'&t es5oao6 &gro$ 6dor{o o3::56 eJdoi{p$5o
e5ifSo.
Rough Work
82016
46-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
'
www.myengg.com
1
AP EAMCET 2016 Question Paper
the radius i 8. The radius of germanium (Ge) nuclide is measured to be twice
of
lRe ' The
number of nucleons in Ge will be
e660c6:o (Ge) Sr"r:5 ;:"5&$o, '6od
(1) (3)
]ne
a"g+gaS ao6o 4d.15;6s $o5o&54' Ge
d
5:'5So5:"Soe.: $oer5
(2) (4)
72 74
73
7s
current is common-emitter traflsistor amplifier, the cunent gain is 60. If the emitter 6.6 mA then.its base current is
119. For
a
65D&a
'6gd $:-c;$6 s{s"sB @o"rr
51Q 60.
aqd
ec$gd So"*ro 6.6 mA ePo:6
es6"d ec$gd @o"Xro
(1) (3) 120.
lf
6.492m4 4.208 mA
(2) (4)
0.108mA 0.343 mA
area is arransmining antenna ofheight l05m is placed on a hill. then its coverage
so6} 105 m Jelrlo p5}d esoao";so a.oas$3d:, el8 (2) 3264kri2 (1) 4224k$r2 (4) 4864 km2 (3) 6400Wn2
e.5
+oser: elo6o#i{er 3a.o5o
R0ugh Work
E 2016
47-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr CHEM I STRY 121, In which ofthe following, of
a
the product of uncerlainity in
velocity and uncertainity in position
micro particle of mass 'm' is not less than
'm' 655go"Ai{o S:"foSeoo of,r56 lr{oefe er&A;e!65o, S5oefe er&A;6e55oo o3o Cu:$ rSoB a-Eef d$d,ur 6$r,5 s.6o
-3n (1) h'-
h ()\ _\ 1n
m
122. An element has periodic table is
(1) (3)
h1 (3) +,Im . ^-
m
(4)
[Ar] 3d1 configuration in its +2 oxidation
h +7t -xm
state. Its position in the
(2) period-3, group-7 (4) period-3, group-9
period-3,group-3 period-4. group-3
+2 es835dea Q&ef e,S 5::"e.:s.$3 [Ar]
JolgS io"g$o 6$;6. er5g5 $eflSef
3d1
es
5r:.o5o o3::66 $5o
(1) 6doc6r5-3, (lO-3 (3) 50c$5-4, ({J"O-3
(2)
5ocs:E-3,6:.0-7
(4)
bocsrS-3,
dr6-9
123. Inwhich ofthe following molecules allbond lengths are not equal?
poE ereo$eref er$; a:o{ Pggo: SSrSorr dCa 5a?
(1)
SFo
(2) PCr5
(3)
BCl3
(4)
CCr4
Rough Work
E.2016
48-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
number of lone pairs is present on the 124. In which of the following molecules maximum central atom? 56$rea:$ 5:5 r{o$ Soa5ef e'otc0 Jertg5 aobo: 65JA b8? 13oB ereo:$e;ef 3o@d
(1)
NH:
(2) Ito
(3)
(4) XeF2
c1F:
of a gaseous mixture containing 3 g of 125. which one of the following is the kinetic energy hydrogen and 80 g ofoxygen at temperature T(K) ? 5( 3 gl1@"45, 80 g essJas r{o a's a"ojc': So@5oo d:c52, dead$ lBoE
TG)
6qdd
;:.e3et' !)a?
(1) 3RT
(2) 6Rr
(3)
(4)
4RT
8RT
|26.A,B,CandDarefourdifferentgaseswithcriticaltempe1atures304.i,154.3,405.5and gets liquified first is 126.0 K respectively. While cooling the gas which
304'1' 154'3' 405'5 A, B, C, D erd o'o:& &5; a"osr:$o Soa{ tffdejo: $6:i>n" Aod a"cdrb 5oOc6D 126.0 K r5oodt$5i9e5: B::6c'rn" 65qJ55o
(i)
B
(2)
A
(3)
(4) c
D
l2.T.4omlofxMKMnoasolutionisrequiredtoIeactcompletelywith200mlof0.02M x oxalic acid solution in acidic medium' The value of iS 200 sJ.O. 0.02 M esrgos
eQ p"Ssao$ fQn- $65 8o6t.r&3
6a rl65ef 1o"$oo, esS3 65o$oef eSSd5o$otuoa'
(1)
0.04
(2)
0.01
(3)
4
0.03
40
ic'oo 'x M KMnOa
ser:S
(4)
0.02
Rough Work
E 2016
49-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr
128. Giventhat
.
C,"r
-Or,o, -+ COr,-\; AH'- -xkJ
2CO,.1 +021"1
+
'41Jo = 2CO,r") . \S,,
-ykJ
The enthalpy of formation ofCO will be
A/uS afl;S $556ea-e.:5o C
14o1
+ 021o"; -+ CO2
2CO1p-1
1;.1
er{
CO
d::56 $oiiro JoqrOS Cer:b
i AH' = -x kJ
+021-) -+ 2CO2(,,) 6g" = -ykJ
v-2x (1) -3
v Q) -,-2x
(3)
2t- y
(4)
x- y 2
129. At 400 K, in a 1.0L vessel N2Oa is allowed to attain equilibrium
NrOr,".,
+
2NOr,-, -\ E,r
At equilibrium the total presswe is 600 mm Hg, when 20% of N2oa is dissociated. The Ko value for the reaction is 400
K56
1.0
OtJ6 )1e5e$ N2Oaq3oa S5oe"ftes $oaSB
N2Oa16";* 2NO2(a") 20%N2O4S{ocrso ioasigdo $;ne."g@
do56 K,
(1) 50
S{ uglo SaSo
600 eJ.5) 6SJ$J6o
ee .5dS
&er:S
(2) 100
(3) 1s0
(4)
200
Rough Work
82016
50
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
130. In which of the following salts only cationic hydrolysis is involved? 13oB
o5eo-oef b o5eoo, €Sero Seccdr5 aosdi)eo-$S et'56e6o6?
(2) CH3COONa (4) Na2SOa
(1) cH3cooNH4 (3) NH4C1 131. Calgon is
s'er5
er5o56
(2) Na3POa (4) NaH2PO4
(1) Na2lIPOa (3) Na6P6O1s 132. Consider the following statements.
I) tr)
Cs+ ion is more highly hydrated than other alkali metal ions
m)
Among the alkali metals, only lithium forms a stable nitride by direct combination with nitrogen Among alkali metals Li, Na, K, Rb, the metal, Rb has the highest metting point
M
Among alkali metals Li, Na, K, Rb only Li forms peroxide when heated with oxygen
13o6 SSdeae.rSo 503OoJo&.
y6 ef*r
esc6:'5er 5oB
D
Cs+ epoXrS ael6
tr)
g.d ef*fe.:ef OQo5oo 5>653: 3on-
Li, Na, K, Rb g"d
ef*rod
ppfase
gertu
"g6p5 pg5$o
165{$5 S5o '6o&5o Li $"@fu esB;a5ef 3ed"o$66: =oo"B35$o
m) Li, Na, K, Rb, 9,6 efr$e.:et' Rb
M
er66on'l1@il5 aoel:So drbSo
5o esOS
1636'5c5o
The corect statement is
5ri., $ps ssdeo ba?
(1) r
(2)
(3)
II
III
(4)
rv
Rough Work
E 2016
51
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
13
AP EAMCET 2016 Question Paper
3. Asserlion (A) : AlCl3 exists as a dimer through halogen bridged bonds. Reason (R) : Alcl3 gets stability by accepting electrons from the bridged halogen. ( i ) Both (A) and (R) are true and (R) is the corect explanation of (A)
(2) (3
)
(4)
Both (A) and (R) are true but (R) is not the correct explanation of (A) (A ) is true. but (R) is nor rue
(A) is nor rrue. bur (R) is true
(A): s"6eao (R): Ca;e5o
{fefas a"de ao6.oef
AlCl3 psoarp .6o6:5o.
a-d6 *fefa5 Soo& Je.:q5er5c b55oots:c.r SoS AICI3fide-5c1 *o6:io.
(1) (A) 5oo cs.:r (R) w ao6:. sBSs SoBc6) (A) 60 (R) SBS csdeo (2) (A) Sooctu (R) e.r: Ao6:" $BSS s.s (A) SD (R) $BS ssdeo s"dr (3) (A) sps8 s-c (R) $B56 s.c$ . (4) (A) $358 s-d: s.c (R) SpS6 134. Which of the following causes "Blue baby syndrome"
(1) High concentration of lead in drinking water (2) High concentration of sulphates in drinking water (3) High concentration ofnitrates in drinking water (4) High concentration of copper in drinking water lBoB a-&ef SOA€
65
R
o@,Sr(Blue baby syndrome) So SOnod$S6 bA?
(1)
1o"d$u3ef
(2)
1o"i SOef 6d;tr:oc es05 n
(3)
1e"d St3ef
(4)
1e"i
es6S
n"66ef 6o6otc be$
E@u"*
66et 6odot:
Se.:S
6o6:tr
SoS
ep05 n"6"JeJ
$eef s.i:6 er0d n-6eJef *.ocfub SoS
Rough Work
82016
52-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
135. Which of the following belongs to the homologous series of C5H3O2N?
6 $oB a"Oet' C5H8O2N o3oS2, S5oa"e5 €e'3S tso65s 5A? (1) c6H10o3N (2) C#8O2N2 (3) C6H10O2N2 (4)
c6Hr0o2N
of nitrogen at STP. The 136. In Dumas method, 0.3 g of an organic compound gave 45 mL percentage ol nitrogen is 3Ps{aS 6;"5515 66se56 0.3 gr. o 5d;5 53rgd5o STP 56 45 mL o F$'sSfD arQloa' a"6o Jo6?
(1)
t6.e
(2)
(3)
18.7
23.2
(4)
2e.6
137. TheIIIPACnameof (CHi)2
CH-{H-CH-{H-CH-{H {H3
is
I
CzHs
(1)
2,7 -dtmethYl -3, 5-nonadiene
12)
2. 7-dimethyl -2-ethylheptadiene
(3) g/
2-methyl-7-ethy1 - 3, 5-octadiene
t,1-dierethyl-6-ethyl-2, 4-heptadiene
(CH3)2
CH-CH:CH-CH:CH-CH-CH3 d!g2, IllPACrod: I
CzHs
(l)
2. 7-8tuP5-3, 5-,$o"P65
(2) 2, 7-E5rp5-2-ePes-.r{P6s (3) 2-tupe5-7-aPe5-3, 5-es6P65
(4)
1, 1-p5:Fes-6-ePe5-2,
4-="r{F65
Rough Work
F.20t6
53
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr
138. Match the following.
A) B) C) D)
LIST-I
LIST-II
(magnetic property)
(substahce)
1) 2) 3) 4)
Ferromagnetic
Anti lerro magnetic Ferri magnetic Para magnetic
qSoA a"d3&
02
CrOz MnO
5)
Fe3O4
cdk
a65dt5:5::.
$€s-r (eectudtoir
, 565 - II €.)
(ro"{o)
6O&o)
1) 2) 3) 4) 5)
A) -o16" ero5:iXoe5e55o B) cdrod3 =oLderc6ciXo6el5o C) -+16 erc6cilodeS5o D) )o" erc6:iXoe!65o
02
CrOz MnO Fe3Oa
C6Ir6
The correct answer is
$0do5 $5>o"5o
ABCD (1)3 2 4
(2)2 3 4 (3)1 3 s (4)4 2 3
I 1
4 s
Rough Work
820t6
54
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper fs*-t
c"d.
lczl
I
and 60 mm Hg respectively. The 13g. The vapour pressures ofpure benzene and toluene are 160 soiution ofbenzene mole fraction ofbenzene in vapour phase in contact with equimolar and loluene is
668od5,d:$tv05oa-irri:6o'o:56c5mi60,60mmHgn-'*o';or:'55)!5a;"er5 n'66ertloAodS,tyosegr5eoouf,rc6::@5fet'5o562roet'5ododS3r'e5q:-t{o D
oc5
(1)
0.073
(2)
0.027
(3)
0.27
(4)
0.'73
g ofwater freezes at -{'93'C' The 140. 6 g ofa non volatile, non electrolyte X dissolved in 100 l molar mass of X in g mol is (K1of H2O: 1'86 K kg mol-l) -":o'$o Xc 100 g SuSef Son bdJ6'15 g:'Seao -0'93'C 5f; 6 g era"i5&o, eoe5o55 e?fu l e:d (H2O $ Kr: 1'86 K kg mol l)
6DSqJ55o tsoa5a.
(1)
60
X drlsl,
(2)
aroi
140
6s5oa g mol
(3)
180
(4)
r20
during the electrolysis 141. The products obtained at the cathode and anode respectively aqueous K2SO4 solution using platinum electrodes are
JoS65o'6i:drEort K2SOaaogrSo'eJ 36E6$a€oo ao"o$$6: s'6'5' 5{ 5o;d bo'qo: 56(>n-
Jd3$o
(1) oz,Hz
Q)
Hr,Oz
(3) H2,SO2
142. The slope ofthe graph drawn between /n k and 1/T (R: gas constant, Eu:Activation energy)
as
of
eg'$6ce:
(4) K'SO2
perArrhenius equation gives the value
(r:")od6 ee*cc$r5 65:56eao esQ-6on" /n k 6o 1iT 5c A'rS 6p"5tcoef a-oc so:55o (R: a"ctu$o"oSo, Er: aQaS d$)
(1)
R E La
(2)
?
(3)
D
E
(4) -R E^
Rough Work
E 2016
5s-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
143. Which is not the correct statement in respect of chemisorption? ( 1 ) Highly specific adsorption (2) Iueversible adsorption (3) Multilayered adsorption (4) High enthalpy ofadsorption
d&c6)5
GSo&5J{15)S! Soaoeort 13oA Ssdeooef bA SOo3JSA s"6j? es6565 $a$e55o 5OR5 eo0aaileao (2) es85dd ca66ifieao .erQ66i1eao
(1) (3) a:iru*6o erQfXreao
(4)
ered Jo6"O3 ere#J1eoo
144. Which of the following is carbonate ore?
(1) Cuprite (2) Siderite 6 18oE a"&ef s,A;3i^:,: O"itu6 5S? ( l) 5.:5@5 (2t todpr.t
'
(4)
Bauxite
(3) *osd
(4)
a.Bpes
145. Which one of the.follou,ing statements is not correct? ( 1) 03 is used as germicide (2) In 03, O O bond length is identical with that of molecular oxygen (3) 05 isanoxidisingagent
(4)
,
(3) Zincite
The shape of 03 molecule is angular
6oA Ssdeooe-f 5E So5358 s"dt? (1) 03 5o 18 Cc Soif0n" df of,J.no6J6
(2) Oj ef O-O arod p$o. es3"la5 ersa:g ,od p$Joe f5:.Som (3) 03 e"g eegJ6de8 (4) 03 eoeo$Su $eEcUl ess-do 6o6o5o
6o65>
146. Which of the following reactions does not take place? 13oB r.5d5e-re)f a6.(CA bB?
(1) Fr+2Cl -+2F- +Ct, (3) ct, +2Br- -+ 2cl- +Br2
(2) Br2+2I- -+2Br- +1, (4) Ctr+2F -+ 2Cl- +F,
Rough Work
82016
s6
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
t s"tc"d.
lczl
tr
I
147. Which ofthe following statements regarding sulphur is not correct? (1) At about 1000K, it mainly consists of 52 molecules (2) The oxidation state ofsulphur is never less than +4 in its compounds 52 molecule is Paramagnetic (4) Rhombic sulphur is readily soluble in C52
(3)
5 e,:r65o
EoBS r8oE i5deoeeit bA $OdcSE s"6?
(1)
o"o"6 1000K 5{ o"Cd Sr:pgon-
(2)
a"d3
(3)
52 erea:$So
(4)
o-oDS Se.:r6 CS.,Sodo Sv0n' 5d:1u5o.
Sfugdo'oef $e.:;6+4
Jo"
52eoeoc$o.> 6odc5o.
fi@ SoE erc$cilo6 66go 6odc5o e8";6deo
6$2,5
er8";Sdea
QeO Srrto$6o.
148. Which of the following reactions does not involve, liberation of bxygen? rSoE ,56ee.reJ eg3raS5o !U
(1) (3)
XeF4 +H2O
Sdr6e dc6CE b6?
(2) (4)
-+
XeF, + H2O ->
XeFa + O2F2
->
XeF6 + H2O -+
149. Select the correct IUPAC name ol [Co(NH3 )s(COi )]Cl ( 1) Penta ammonia carbonate cobalt QII) chloride
(2) Pentammine carbonate cobalt chloride (3) Pentammine carbonato cobalt (II) chloride (4) Cobalt ([I) pentammine carbonate chloride [ColNur;riCO:)]C1 5oa5o
o3-r:56
sEs IUPAC?)650 tuQo6o8
(1) =oot:. eoar6&c$r s"o)Bu5 $a"f (III) {pE (2) =ooe.:" JpS s"6';3e5 ea"e[ ffiE (3) =oor"r JpS s"aldof sa-s [II) frE (4) Se.:"S GII) -ood:' J&5 s"o)Bef s"a6 Rough Work
82016
57-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
tr 150. Which of the following characteristics of the transition metals is associated with their catalytic activiry?
(i) (2) (3) (4)
Colour ofhydrated ions Diamagneticbehaviour Paramagneticbehaviour Variable oxidation states
5o5g[5 ef*re> 13oB er0o'Se36 6o'6oef 4"€3 6.q6365 9o6$r $oaoOoASB bE?
1
5
1
.
(1)
lI@65
(2)
6o5r erc6:i1oe5 $5a:.5o
(3)
)o" ercd:Qo6 $5e:-5o
(4)
Dfr"rd crgJgdea "E&e::
coc6:.5e.: doiJ:
Observe the following polymers
l
PHBV
Nylon 2-nylon 6
Glyptal
Bakelite
(A)
(B)
(c)
(D)
Biodegradable polymer(s) from the above is/are 13oA )O5o5o5o 58&0ot5:51 PT{BV
(A) t
=o
JelJ l-JeJ-J
O
(B)
nle5
2]Se)CJ
(c)
(D)
a'(3ef d555SJe, )O5o5(er)
(1) (c)
(2)
(A),(B)
(3)
(D)
(4)
(c), (D)
Rough Work
82016
58-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
fs.tc"d.
[il
i
tr
I
52. Observe the following statements
i) ii) iii)
Sucrose has glYcosidic linkage
Cellulose is present in both plants and animals Lactose contains D-galactose and D-glucose units
6a lSoB c$6soe:$o $o&OotS:S::
i)
5cr$5eJ E$=o&S aod5r5;6
ii)
-oo:5ef€ a::S2roef5o Sooc$J 8oe$6od5o 'ao0::o6
iiD o'S6ef D-n"er{€ SDocS$ D-6*Sd c$::"Stq t51$ The correct statements are
$Odo5 S5doo:
(2) (4)
(i), (iD
Aspartame
(2)
Sodium benzoate
Ortho-sulPhobenzimide
(4)
Butylated hydroxY toluene
(i), (iii)
153. Identi$, the antioxidant used in foods
) (3)
(I
e*f d Scrgerd '6$oirEodc c$:'ot3
e835deBS r{:Qo
(1) ersJQs: (3) e:d-$dr (;lq/
BodQ:6
'5c
5:>
(2)
ir"&oJco Ao#d:U5
(4)
?:lgpd65 -o'1c8;0f05
RoughWork
82016
59
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
n4.
A:
tlrru.,
AP EAMCET 2016 Question Paper
tr
.
cH3cr--!sghe-
cH3
+2NaCl
This reaclion is known as
(l) (3)
(2) (4)
Wurlz-Fittigreaction Fittig reaction
CX"'
+2Na+cH3cl
$& dd65
>
Wurtz reaction
Friedei-craftsreaction
Ctrt'' +2NaCl
5a rX6g5o SSooUrd:?
(1) aS€ - 3:SF rrdS (3) 3:€5 *oS
(2) *f,F 156g (4) ti)65-E"EJ
#dE
155. What is Z in the following sequence of reactions? I
2-methyl-2-bromo propane
X--lz9-+z
;fu
(1) propane (3) 2-methylpropane 6 go8 r5o"ggSooef Z b8? 2-tupe5 2-1tr3:. r&1,s
(2) (4)
;J$il x
Hzo
(1) @*os (3) 2-5:pe5 6fo5
2-methylpropene 2-methyl butane
>Z
(2) 2-tuEd L&5s (4) 2-5cAd arSd5
Rough Work
82016
60-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
156. In which ofthe following reactions the product is not correct?
(1)
CHTCHO-!418a"+CH3CH2OH
(2)
CH3COCH3
-j+
CH3-CH-CH3 OH
(3;
cu,cH2cHo-rffir.*
(4)
cH3cH2cHo--Iy44-+cH3cH2cooH
5a q3oa S6ge.:ef
cH3cH2cH3
deef 13c6:'a555) $oS)Ss
(1)
cH3cHo --!4!q4-+ cH3cH2oH
(2)
CH3COCH3
+#+
CH3-CH-
CH
s"do?
3
OH
1ffi[ffi"
cH3cH2cH
(3)
cn rcHrcuo
(4)
cH3cH2cHo --51994--+ cH 3 cH2cooH
E 2016
ral
61
j
-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
I57. Identi$'
AP EAMCET 2016 Question Paper
tr
the name of the following reaction
(x.t"--sexu-A
H:o
(I)
Gatlerman - Koch reaclion
(3)
Stephen reaction
qSoA rJdg
l)
(2) (4)
Gatterman reaction Etard reaction
6o56 +oct5o /uQo{S:r
(1-t''--sexu-A f
, CI,-t*
n-c.:55o5
- $'5
(3) "E=os sos
H:o*
,
CX-"'o (2) n"er55o5 156g
.J6ee)
(a) au:'f
'Jdg
15 8.
cH3oH--!ql+o rcN n" ""i86' ,g (1) (3)
CH3CH2OH
CH3COOH
(2) (4)
CH3CHO
HOCH2{F{2OH
Rough Work
82016
62-A
http://www.myengg.com/engg/info/tag/ap-eamcet/
www.myengg.com
AP EAMCET 2016 Question Paper
159. The order ofbasic strength ofthe following in aqueous solution is
ao 6l5eooef $oE a'c3 g'd a:e.:'e.:165oo
C6H5NH2 (CH3)3N
NH3
cH3NH2
(cH3)2NH
J
4
5
t2 (1) 4> l>5>3>2 (3) 5> 4>2>3> I
1
(2) (4)
2>5>4>3>l 4>3>5>2>l
60. Yellow dye can be prepared by a coupling reaction of benzene diazonium chloride in acid medium with X. Identifu X from the following
(2) Phenol (4) Benzene
(1) Aniline (3) Cumene '
5$o6 dolu doasoso essoc$J"ssoet EodS Ao5:#&c6:o 5'45'66 X o"5o' e5cdrd:dcdc5t5:15o. poB a't3d X 5o /uQot5:$:>
(1)
es&05
(2)
(3)
6rg5:s
(4) aod5
So o$Jd96dsa
'J6E
&o"e5
Rough Work
n()\
-l
CH)ov(]5<''c*'
Cdqta*- ')
f.2016
63-A
http://www.myengg.com/engg/info/tag/ap-eamcet/