Tam sayfa fotoğraf

•
~,~,::~~~:~~~ ~
Aday No
I I I "
SORU 1:
Yandaki tabloda 13 pozilif tamsaYI vardlr. Bunlardan 41anesi
verilmj~
kare
9 lanesi
verilmemi~tir.
8ilinen 4 saylnln herbiri , etrafrnda
bulunan saYllann toplamlna e~ittir.
olu~luracak ~ekilde
e
d
(Ornegin, e + f + i + h = 83 tor.)
e, g, b ve f saYllannln herbiri siraslyia a, h, j ve d sayllarlndan 19
fazladlr.
.3
86:
h
9
L:J
Buna gore, a + e + f + 9 toplaml ka otlr?
C;6Z0M: "\/<O!rib\e.re. ~re
e
~
h
= 58
L~.I..+cl
$,,,,,,,,j, •
~+d+ 2~
= l-,"
111)
( Ill)
.+\"+d+~
';: ~J
Ii")
c i f\1iMv-.,
~ ... "'t6!"""':
10
tc.r ......:'
r "1- r,,,)
S-Iod
~-c-:.n
Ill- rl<)
d;-~ =-'28
\·k,q: \~
c.: 1.-'2.4
~
-.1(!
2.-b_~4+b-tc:l-=5i
:kl"l
sab'\).(1
~(l.I"CIIIIJ\
~ ........ o;.;1~\
"l\<'\Q., ~o.'l-~b,.<::) .')
'6..: 'lS', 2\>, 1.T!· 111
'0;)+
L ____
~t" C'""~ -=
d
:ol.. "
d+l~
~
l3 - \'3
\.-"
c
I
~=I..-·n.
e: 'b-)
"'-
d:.1C'2.-1.b
-IQ.'}w
'I ';l.p.r~tl"'-
~
b_2......,C
b "" '3.1 o\~r
k. r
tl:.-1.'I.1 -+ (1,..-1)
l • BU~CISTANBUL MATEMATII< YA~ISMASI
-\0
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6-21-
b
6-1'"
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b f'ooz.;Il.&: bl"'-
b
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II)
ie,,:J.en -l ..~... r! .. 'Ie,
'f¥k~i
t
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.. +b+c. .. J~ s(.
11e-,-
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b-IO
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0 'h,..IJc>,
(Il\- :U.) .,. (b-\oJ) __
-----
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1. ..1.........,,.
f3
•
BURCf·KOLEJi
Aday No
I I I I I
SORU 2:
PUAN
3. BURCls TANBUL MATEMATIK YAR I ~MASI
ABC O~geninde B ve C kO!;elerinden Clkan dogrularla
OG Degen elde ediHyor. Ot;:genlerin alanlan uzerlerinde
vazlldlgl gibi ise , larah dortgenin alanl kat;: birim karedir?
A
'\ .o
0\
90Z0M,
.
'" /AIL.~' ':: A
1",,(".,,11 0.1......
.
~
B
'" (Att.):.&
-:. A+ G :. ,.
0
ilc.," u"ItA"" ~c.\:.a1c.\i''t..~
~;~~r 1\...'Ia
~ =~ ~
A~(\\
Q\~\1n
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0 ' .."
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1. ~
..,1iV'\
A.
o.t",,\
V"P'''\A'rit''\
.la~ "'l""\\I\.\a,t\f\\",
',frt,
A.,!!:.+~
W.
li:. 1:!J.
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1
10
0\"'1'.
(,.)
~1Zk.;lck,
B. _ p,-+~+'3
~-
~"jl.tc..q,
oU",.,
\~..,
X.le: ~ .... 1.... "\"\\,..\ "\(.l\~\~
~'bon ....1......'''\.'.:1("1 015'-'1'\
or--.I"2l
C
T~A ....
"l+~
'>Jt'-f~
B _ 1,. "J .0\<. ..
~ -
, 11:)1.)
14
e,:: ~, (T,",)",
,e) ,.. (~"14 }
..,
-~
lo,= 1 (T~"').S(T~1) ~ g,"lb
1-=-1&
lo ... \ ........"'r.
[3
L _ _ _ _ 3. BURClsTANBUlMATEMATIK Y"RlSMASI - - - - -
2
•
~,~,:,~~;~~:~~~ ~
Aday No
I I I I I
SORU 3:
a, b, c stflrdan farkll reel sayilar olmak Ozere,
1
a + b" = 5 ,
C;6Z0M:
1
b+ -= 12
c
~4-1.. =5'
lot-~ =. t'l..
(I)
j,
0+1.+(+ ~+
In"'! (rr\,,''lI\\
11). ( II). (
C+ .! : 13 ise, a.b.c -+ _ 1_ ifadesinin
a
a.b.C
ve
. 10
t) [I.+D
r'
oJo.lI..
t" ~=:,o
0\"''',
c.~i
e~itini
I)
bulunuz .
\ a\1"",
(\\1)
(e>~) = 'i 11 I)
.L ).(,+1.) =
( 0._"~1+
<
I.,
+<c
Ol..c .. L ... l..+! +'-""'"l+1. ... L-:+to
c
a L..c.
~
1.
~_.c
~
~ o+o..t"t. ';
~
10
d \a,c.+
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•
BURct·KOLE]i
Aday No
I I I I I
PUAN
3. BURCISTANBUL MATEMATiK YARI;iMASI
O! ve 1! farkl. saYllmak Ozere , 240 dan kO'):Uk ve e~it ka y lane pozillf lamsaY I .fa!lU.t
faktOrjyellerjn loplaml olarak yazllabihr? (4 = 2 1 + 1! + 0 1 g lbi)
SORU 4:
c;:OZUM : ! '\1;0\:
~t:i,
n
I... ",,k
uo:llt'C!
0
-,joO'~.
1
(o~+'S"!=-l~ ... ~\ jil,.';)
'14~ Ib
'1a,,:,
o~
o
n:.~o\
-
,
1' ..... 'l.~
.
'J~
31/1.,~
'2. 1
\.',
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l.\
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h.r1
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2-:;O!~I.~ I
~"=,el.
0'
h/........ ~ s~\\_r l
f:..f'..1 ...... "'la1.\\al';,~
h.\Jc,1
'
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it)
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