PEMBAHASAN TRYOUT NASIONAL MASUK PERGURUAN TINGGI NEGERI TAHUN 2015 MATEMATIKA DASAR BAHASA INDONESIA BAHASA INGGRIS KEMAMPUAN VERBAL KEMAMPUAN NUMERAL KEMAMPUAN FIGURAL KODE 18 TES KEMAMPUAN DAN POTENSI AKADEMIK (TKPA)
PEMBAHASAN TRYOUT NASIONAL
MASUK PERGURUAN TINGGI NEGERI
TAHUN 2015
MATEMATIKA DASAR
BAHASA INDONESIA
BAHASA INGGRIS
KEMAMPUAN VERBAL
KEMAMPUAN NUMERAL
KEMAMPUAN FIGURAL
KODE
18 TES KEMAMPUAN DAN
POTENSI AKADEMIK
(TKPA)
PEMBAHASAN MATEMATIKA DASAR 18
1. JAWAB: A
Pembahasan :
Karena a dan b merupakan akar persamaan kuadrat, maka:
a2 + a + 1 = 0
maka 1 = - a2 - a
a2 = - a - 1 kalikan dengan a
a3 = - a2 - a
a3=1
berlaku juga untuk b,
b2 + b +1 = 0
maka 1 = - b2 - b
b2 = - b - 1 , kalikan dengan b
b3 = - b2 - b
b3 = 1
Maka a6045 + b6045 = a(3(2015)) + b(3(2015)) = 1 + 1 =2
2. JAWAB: D
Pembahasan:
Dari persamaan satu,maka didapatkan jumlah kedua akarnya adalah A+B=-b/a=-2
Dan hasil kali kedua akarnya adalah AB=c/a=-1/2
Persamaan dua, missal akarnya adalah p dan q, maka jumah kedua akarnya adalah
p+q=-b/a = 10, dan hasil kali kedua akarnya pq=c/a=β6 .
Maka yang memenuhi adalah (d).
(2π΄2 + 3) +(2π΅2 β 3) = 2(π΄2 + π΅2)
= 2[(π΄ + π΅)2 β 2π΄π΅] = 10
(2π΄2 + 3) Γ (2π΅2 β 3) = 4(π΄π΅)2 β 6(π΄2 β π΅2) β 9
= 4 (1
4) β 6(π΄ + π΅)(π΄ β π΅) β 9 , (A-B= akarD / a)
= 4 (1
4) β 6(β2)(β6) β 9
= 12(β6) β 8
3. JAWAB: E
Pembahasan:
Dari definisi harga mutlak, |π₯| = π₯ untuk β₯ 0 , dan |π₯| = βπ₯ untuk π₯ < 0.
Sedangkan |2-x|=2-x untuk 2-x β₯ 0 atau untuk x β€ 2,dan |2-x|= - 2 + x untuk 2-x < 0 atau
x > 2.
Gabungkan semua syarat diatas didapatkan
Untuk x < 0, pertidaksamaan menjadi βx + 2 β x β 3 > 0
-2x-1>0
x<-1/2
Untuk 0 β€ x β€ 2
x+2-x-3 > 0
-1 > 0, jadi untuk interval 0 β€ x β€ 2 tidak ada yang memenuhi
Untuk x > 2
x-2+x -3 > 0
2x > 5
x > 5/2
maka solusi pertidaksamaan adalah x < -1/2 atau x > 5/2.
4. JAWAB: E
Pembahasan :
Dengan menggunakan uji salah satu titik pada daerah yang diarsir didapat opsi yang memenuhi
xβ₯0;
yβ₯0;
2x+3yβ€12;
-x+yβ€2;
5. JAWAB: C
Pembahasan :
log(4π β 14) = log 10
4a-14 = 10
a = 6
log(π β 4) = log π
b-4 = 6
b = 10
logπ₯ π = log π
logπ₯ 6 = log10
x = 6
6. JAWAB: C
Pembahasan :
Diketahui ada 3 nilai dan nilai terendahnya adalah 80
Misal siswa tersebut memiliki nilai 80, π, π
Untuk mencari nilai maksimum yang dapat dicapai terlebih dahulu dicari interval nilai siswa
tersebut.
Nilai minimum siswa tersebut adalah saat π = π, sehingga nilainya 80, π, π. Nilai π adalah
80 + 2π
3= 85
π = 87,5
Nilai maksimum siswa tersebut adalah saat π = 80, sehingga nilainya 80, 80, π. Nilai π adalah
80 + 80 + π
3= 85
π = 95
Berarti 80 β€ π, π β€ 95. Maka nilai maksimum siswa tersebut adalah 95.
7. JAWAB: D
Pembahasan :
Sin(x+y) = Β½ sin y cos x
Sinx cosy + siny cosx = Β½ siny cosx
Sinx cos y = -Β½ siny cosx
-Β½Sinx cosy =ΒΌsiny cosx
= ΒΌ sin(x+y)
8. JAWAB: E
Pembahasan :
Sesuai aturan rantai,
G(x) = (sin (F (2x))) 3
Gβ(x) = 3= (sin (F (2x))) 2(cos (F (2x) . Fβ (2x) . 2)
Diketahui F (2) = Ο/4, Fβ (2) = 1/β2
Maka Gβ (1) = 3(sin (Ο/4)) 2(cos (Ο/4) . 2. 1/β2
Gβ (1) = 3(Β½) . (2 . Β½)
Gβ (1) = 3/2
9. JAWAB: C
Pembahasan :
Dari soal diketahui bahwa π = log2 cos π₯, π = log2 cos π₯
Dengan menggunakan rumus deret tak hingga didapat
log2 cos π₯
1 β log2 cos π₯= β
1
3
log2 cos π₯
log2 2 β log2 cos π₯= β
1
3
log2 cos π₯
log22
πππ π₯
= β1
3
log 2cos π₯
cos π₯ = β1
3
2
cos π₯
β13
= cos π₯
cos π₯
2= (cos π₯)3
cos π₯ (β2 cos π₯ β 1)(β2 cos π₯ + 1) = 0
Maka nilai π₯ yang memenuhi adalah 270, 315
Untuk π₯ = 270, nilai tan 3π₯ + cot 3π₯ = tan(3.270) + cot(3.270) = β
Untuk π₯ = 315, nilai tan 3π₯ + cot 3π₯ = tan(3.315) + cot(3.315) = β2
10. JAWAB: D
Pembahasan :
U2.U4 =4
ar.ar3 =4
ar2 =2
54321 UUUUU a5r10
=25
=32
11. JAWAB: A
Pembahasan :
Gradien garis singgung sebuah kurva diperoleh dengan mensubstitusi absis titik singgung pada
turunan pertama suatu kurva.
(π₯)= π¦ = 4π₯ β π₯2 β πβ²(π₯)= 4β2π₯
Jadi, gradien garis singgung parabola π¦ = 4π₯ β π₯2 di titik (1, 3) adalah :
π = πβ²(1) β π = 4β2(1) = 4β2 = 2
Sehingga, persamaan garis singgung parabola π¦ = 4π₯ β π₯2 dengan gradien π = 2 di titik A(1, 3) dapat
ditentukan dengan :
π¦βπ¦1 = π(π₯βπ₯1)
β β3=2(π₯β1)
β π¦β3=2π₯β2
β π¦=2π₯β2+3
β π¦=2π₯+1
Diketahui bahwa garis singgung parabola π¦ = 4π₯ β π₯2 juga menyinggung parabola π¦=π₯2β6π₯+π, maka
substitusikan π¦=2π₯+1 ke persamaan parabola π¦=π₯2β6π₯+π, sehingga diperoleh persamaan kuadrat
berikut :
2π₯+1= π₯2β6π₯+π
β π₯2β6π₯+π β(2π₯+1)=0
β π₯2β6π₯+π β2π₯β1=0
β π₯2β8π₯+(πβ1)=0
Karena garis singgung dan parabola tersebut saling bersinggungan, maka nilai diskriminan dari
persamaan kuadrat tersebut sama dengan nol (π·=0). Sehingga diperoleh nilai π sebagai berikut :
π·=0 β π2β4ππ = 0
β(β8)2β4(1)(πβ1)=0
β 64β4(πβ1)=0
β 64β4π+4=0
β68β4π=0 β 68=4π β 17=π
Jadi, nilai dari 2009 + βπ β 1 = 2009 + β17 β 1 = 2009 + β16 = 2013
12. JAWAB: A
Pembahasan :
Persamaan kuadrat Y = 4 + X - X2
Misalkan titik P(Xa, Xa) dan titik Q(Xb, Yb). Konsep titik pada kurva secara aljabar mengatakan bahwa
nilai absis dan ordinat dari titik itu harus memenuhi persamaan kurva yang diberikan. Dalam hal ini
kita peroleh
Ya= 4 + (Xa) β (Xa)2 dan Yb = 4 + Xb β Xb2 .....(1)
Kemudian, karena titik asal O(0,0) merupakan titik tengah ruas garis AB, maka berdasarkan konsep
titik tengah diperoleh
Xa+ Xb= 0 dan Ya + Yb = 0 .....(2)
Agar persamaan (2) dapat digunakan, maka persamaan pertama dan kedua dalam persamaan(1)
harus dijumlahkan sehingga diperoleh
Ya + Yb= 8 + Xa + Xb β (Xa2 + Xb2)
atau
Xa2 + Xb2 = 8
Sekali lagi kita perlu konsep
(Xa + Xb)2 - 2XaXb = Xa2 + Xb2 = 8
Dengan demikian,
-2XaXb = 8 maka XaXb = β4 atau Xb = β4/Xa
Setelah disubstitusi ke bagian pertama dalam persamaan (2) diperoleh
Xa = +-2 dan Xb = -+2. Dari sini, kita memperoleh Ya = +-2 dan Yb = -+2.
Dengan demikian, titik P(2, 2) dan Q(β2, β2) atau sebaliknya.
Sehingga jarak A ke B yaitu:
= akar [(Xb-Xa)2 + (Yb-Ya)2]
= akar [(16) + (16)]
= akar [2.16]
= 4β2
13. JAWAB: B
Pembahasan :
9P5 = 9!
(9β5)!
= 15120
14. JAWAB: D
Pembahasan :
Pernyataan bilangan ganjil sama dengan bilangan genap bernilai salah.
Pernyataan 1+2 sama dengan bilangan ganjil benar.
Salah maka benar maka nilainya benar.
Dari 5 opsi yang tersedia yang bernilai benar hanya D.
15. JAWAB: B
Pembahasan :
Diketahui : r bola = 3 cm
Misalkan jari2 alas kerucut adalah π₯ dan jarak alas kerucut ke pusat bola adalah π¦.
Maka π¦ = β9 β π₯2 , sehingga tinggi kerucut = π‘ = (β9 β π₯2 + 3) cm
V kerucut = 1
3ππ₯2( β9 β π₯2 + 3)
Akan dicari titik stasioner, yaitu saat πβ²(π₯) = 0
β πβ²(π₯) = 0
β 1
3ππ₯2 (β
π₯
β9βπ₯2 ) + ( β9 β π₯2 + 3)
2
3ππ₯ = 0
β 2β9 β π₯2 + 6 = (π₯2
β9βπ₯2 )
β 2(9 β π₯2) + 6β9 β π₯2 = π₯2
β π₯4 β 8π₯2 = 0
β π₯ = 0 π π₯ = 2β2 , π₯ = 0 tidak memenuhi.
Sehingga :
Vmaks kerucut = 1
3π(2β2 )2( 4)
=32
3π cm3
PEMBAHASAN BAHASA INDONESIA 18
16. Jawab: C
Opini, ialah pendapat, pikiran, atau pendirian
seseorang tentang sesuatu atau dapat
menjawab pertanyaan bagaimana.
Pernyataan-pernyataan yang merupakan
opini adalah Menurut Tom Kennedy, permen
lollipop yang baik dihasilkan dari perpaduan
60% sirup jagung dan 40% gula kemudian
dipanaskan pada suhu 310 derajat fahrenheit.
17. Jawab: E
Pernyataan berikut yang tidak relevan dengan
maksud paragraf di atas adalah Waduk
Jatiluhur digunakan untuk olahraga ski air,
kano, dayung, perahu naga dan lain-lain
karena tidak sesuai dengan kalimat utama
Waduk Jatiluhur merupakan salah satu
tempat wisata di Jawa Barat yang patut
dikunjungi. Jawaban A, B, C, dan D
berhubungan dengan kalimat utama karena
koheren (sesuai) dengan masalah yang
dibicarakan yaitu penjelasan.
18. Jawab: A
Kalimat yang termasuk kalimat efektif adalah
kalimat A, sedangkan kalimat yang lain
seharusnya B) Tempat wisata di Jawa Timur
terdiri dari wisata religi, wisata pemandangan
alam dan wisata budaya, dan wisata balai
konservasi pelestarian fauna langka. C)
Kegagalan proyek itu karena perancangan
tidak baik dan pengawasan yang kurang
cermat. D)Meskipun negara itu penghasil
kapas nomor satu dunia, harga tekstilnya
sangat tinggi. E) Pendidikan antikorupsi akan
dilaksanakan segera di seluruh jenjang
pendidikan mulai tahun ajaran baru
2012/2013 (tidak ada P = dilaksanakan).
19. Jawab: A
Kerangka Karangan adalah rencana garis
besar karangan berdasarkan tingkat
kepentingannya, pokok- pokok yang akan
dibicarakan, pedoman bagi pembaca untuk
mengetahui isi suatu karangan. Kerangka
karangan yang paling runtut berdasarkan pola
deduktif adalah pentingnya pembiasaan
berperilaku tertib lalu lintas, manfaat
pembiasaan berperilaku tertib lalu lintas,
bentuk pembiasaan berperilaku tertib lalu
lintas, sasaran pembiasaan berperilaku tertib
lalu lintas, langkah pembiasaan berperilaku
tertib lalu lintas.
20. Jawab: E
Simpulan harus dirumuskan secara logis
dengan menggambarkan atau mewakili
seluruh pernyataan yang ada dengan mencari
kalimat yang paling banyak dijelaskan dalam
paragraf tersebut. Simpulan yang paling tepat
untuk teks di atas adalah Berkat penelitian
dan pengembangannya, PT Hartono Istana
Teknologi bias memenuhi kebutuhan
konsumen dan memajukan industri
elektronik.
21.A
22.C
23.E
24.E
25.E
26.A
27.C
28.D
29.A
30.E
PEMBAHASAN BAHASA INGGRIS 18
31. The nomination of the Vice President candidates takes place..........
(A) on the same day as that of the Presidentβs candidate
(B) on the day preceding that of the Presidentβs candidate
(C) on the day following that of the Presidentβs candidate
(D) either (b) or (c)
(E) on Sunday
32. Harry Truman is mentioned here to show that..........
(A) a president may die while in office
(B) a vice President is considered equally important as a President
(C) a vice President has assumed new duties and importance
(D) all of the above
(E) none of the above
33. How are the requirements for the Vice President candidate and the President
candidate?
(A) the same
(B) completely different
(C) the same except for one requirement
(D) both (b) and (c)
(E) the difference
THE ELECTION OF VICE PRESIDENT
After the convention chooses the Presidential candidate, the nominee for Vice President is
selected the next day. This is usually accomplished on the first ballot. The Vice President is the only
public official in the United States, other than the President, who is elected by all the states. The
names of a partyβs candidates for President and Vice President are placed together on the ballot. Thus,
a vote for one is a vote for the other. Usually the Presidential candidate has a great authority in
deciding who the Vice President candidate will be as the two men will have to work closely together.
The constitutional requirements for the Vice President are practically the same as those for the
President. However, he may not come from the same state as President.
In recent years the Vice President has assumed new duties and importance. Since several
American Presidents have died in office, it is believed that the candidate for Vice President should be
considered in the same light as the candidate for President. In 1945, when Franklin D. Roosevelt died,
Vice President Harry Truman became President, as did Lyndon Johnson the death of President John
F. Kennedy in 1963.
34. What does the text tell us about?
(A) all materials including ice cream have sense of heat
(B) the molecules in the hot chocolate and the cold ice-cream move very fast
(C) the molecules in cool water can move faster than molecules in other things
(D) swallowing fast-moving molecules is good for children
(E) the molecules in cool materials canβt move freely
35. When you swallow those fast-moving molecules they give you some of their heat
energyβthey make you feel warm. (par. 3). The italic phrase can he meant as
(A) the molecules
(B) the molecules that are in the ice-cream
(C) the molecules that in cool water
(D) the molecules in the hot chocolate
(E) the molecules in the ice-cream and cool water
Which is hottestβice cream, a glass of cool water or a streaming cup of chocolate? The
chocolate is hottest of course. But it wouldnβt be quite right to say that the ice-cream and the water
arenβt hot at all. Each one has some heat. All things have heat, even very cold things. But some things
have more heat than the others. So when we use words like hot and cold we arenβt really talking
about two different ideas. We are simply telling how much energy something has. The molecules in
the hot chocolates are moving very fast, they have a lot of energy. When you swallow those fast
moving molecules they give you some of their heat energy. They make you feel warm.
The molecules in the cold ice-cream are moving very slowly, but they are moving! They have
a small amount of heat energy. Because your body has much more heat energy that the ice cream
does, ice cream canβt warm you up. It takes away heat energy instead. It makes you feel cool. The
molecules in cool water move faster than the molecules in ice cream, but they donβt move as fast as
the molecules in hot chocolate. So, compared to ice cream, cool water is warm and compared to hot
chocolate, cool water is cold!
36. What is the topic of the text above?
(A) Long-life span
(B) Survival
(C) youth
(D) Old age span.
(E) Health secrets
37. Which of the following is true about the information in the text?
(A) Gene quality contributes much more to life
(B) Okinawa people look younger at their actual
(C) All alcoholic drinks decrease life expectation.
(D) All of Dr. Perls' subjects are self-reliant.
(E) Superold people normally can exceed 100.
Scientists are as obsessed with the question of why the superold survive and thrive as Ponce
de Leon was to find the Fountain of Youth. They want to understand why the Japanese islands of
Okinawa are home to the world's largest population of centenarians, with almost 600 of its 1.3 million
inhabitants living into their second century-many of them active and looking decades younger than
their actual years. Like weekend visitors on the summer ferry to Martha's Vineyard, scientists and
sociologists block the boats to Sardinia and Nova Scotia, Canada, to see why those craggy locales hide
vast clusters of the superold. As well as studying these populations intensively to unlock their secrets,
scientists have also taken a hard look at the very old in the U.S., most notably in the New England
Centenarian Study. led by Dr. Thomas Perls, a geriatrician at Boston University. While the very old are
happy to offer homespun explanations for 10 their longevity-HI never took a drink"; "I drank a shot of
whiskey every day"-experts are trying to unravel and understand the biological factors that allow some
people to reach while others drop off in their 70s or 80s. Researchers are particularly interested in
determining which factors allow up to 30% of those who
reach 100 to do so in sufficient mental and physical health: a whopping 90% of centenarians, according
to Perls. remain functionally independent up to age 92.
It is pretty obvious even to nonscientists that how you get there depends partly on the genes
you are born with and partly on lifestyle-what and how much you eat, where you live and what types
of stress and trauma you experience. How much depends on each factor, though, was unknown until
Swedish scientists tackled the problem in 1998. They did it by looking at the only set of people who
share genes but not lifestyle: identical twins who were separated at birth and reared apart. If genes
were most important, you would expect the twins to die at about the same age. In fact, they do not,
and the average difference convinced the scientists that only about 20% to 30% of how long we live is
genetically determined. The dominant factor is lifestyle.
38. ln writing the text, the writer's tone could be best described as ...
(A) conservative.
(B) informative.
(C) persuasive.
(D) descriptive.
(E) evaluative
39. ln the text above the writer deals with a topic on ...
(A) prevalence of autism among children.
(B) possible biological causes of autism.
(C) research findings on mental disorders.
(D) maternal age and autism in children.
(E) negative effects of delayed pregnancy.
It is common knowledge that as women get older, pregnancy becomes a riskier enterprise.
Advanced maternal age is linked to a number of developmental disorders in children, such as Down's
syndrome. Now, a study has confirmed that older mothers are more likely to give birth to a child with
autism, too. The authors of the epidemiological study, published February 8 in Autism Research,
examined the parental age of more than 12,000 children with autism and nearly five million"control"
children between 1990 and 1999, all living in California. The researchers found that mothers over 40
had a 51 percent higher risk of having a child with autism than mothers 25 to 29, and a 77 percent
higher risk than mothers under 25.
Autism-a developmental disorder characterized by impaired social interactio" and
communication-appears to be on the rise. The U.S. Centers for Disease Control and Prevention now
estimates that as many as one in 110 children in the U.S. has an autistic spectrum disorder-a group of
developmental disorders including autism, Asperger's syndrome and pervasive developmental
disorder. The prevalence of autistic spectrum disorders in California in 2007 was 12 times that from
1987, representing an average annual growth of 13 percent, according to a report from the California
Department of Developmental Services. Only a fraction of these extra cases can be explained by
changes to diagnostic criteria and earlier diagnoses.
Maternal age is also increasing in the U.S. A California-based study reported a three-fold
increase in the number of births to women aged 40 to 44 between 1982 and 2004. But this trend
toward delayed childbearing accounted for less than 5 percent of the total increase in autism
diagnoses in California over the decade, according to the study-a finding that surprised Janie Shelton,
a doctoral student in University of California, Davis's Department of Public Health Sciences and the
study's lead author. "I would have expected to see more of a contribution, because age is a risk factor
and women are having kids later," she says. Earlier work had suggested that both maternal and
paternal ages are independently associated with autism risk. But the current study found that paternal
age is only a risk factor when the mother is under 30.
40. It can be concluded from the text that ...
(A) a big age difference of parents of 40 years or beyond may result in autism.
(B) several mental disorders can be prevented by having kids earlier.
(C) women today show a general trend in delaying pregnancy.
(D) the paternal age only partly explains the case of mental disorders among children.
(E) the case of autism among children remains a mystery among scientists.
41. From the information in the first and second paragraphs, it can be inferred that ...
(A) developmental disorders in children are close to delayed pregnancy.
(B) modified diagnosis criteria can detect many cases of autism.
(C) many of the children in the US obviously suffer from autism.
(D) asperger's syndrome is not related in any way to autism.
(E) studies on autism have not successfully revealed its causes.
42. Which of the following best describes the author's purpose in this study?
(A) To reveal that the case of autism among children is prevalent
(B) To analyse how delayed pregnancy brings about autism
(C) To make the readers aware of the consequence of delayed pregnancy
(D) To refute a common misconception about the cause of autism
(E) To demonstrate that autism is associated with delayed pregnancy
43. From the second paragraph, it can be inferred that....
(A) Wesley is a successful prestigious school.
(B) the students at Wesley are from the haves.
(C) the students at Wesley are mostly colored.
(D) the colored students usually perform better.
(E) wesley curriculum is adopted by other schools
44. ln writing the text, the writer's tone could be best described as
(A) persuasive
(B) descriptive
(C) informative
(D) evaluative
(E) conservative
Many modern educational experts claim that teaching facts and academic skills is less
important than achieving other social objectives. For some liberals, the schools must first change
attitudes or provide nurturing in place of failed families or help establish equality and social justice.
For some conservatives, the school must first prepare kids for the workplace by molding them into
supple corporate citizens, while others want the focus to be on family values, a competitive spirit, or
other social or behavioral objectives. But the idea of simply educating kids seems to have taken a
backseat to most educational experts and administrators.
They miss the point that kids with real academic skills, especially skills in reading, writing, and
mathematics, are more likely to overcome social barriers, more likely to have genuine self esteem,
and most likely to be genuinely prepared for the challenges of life and the workplace. By emphasizing
so many things besides a genuine, classical education, tile educational establishment tends to soli our
kids short and bring about many of the problems they claim to be solving consider the case of Wesley
Elemontary School in Houston. According to Richard Nadlor in the article, "Failing Grade", Wesley has
all the demographic markers of a school bound for failure. Over 80% of the students qualify for
subsidized lunches, and nearly all are minorities (92% black, 7% Hispanic). Yet it ranks among the best
schools of Houston, with first-graders placing at the 82nd percentile level in reading tests which is 50
points higher than the expected level for similar at-risk schools.
What has made Wesley so successful? The answer is classical education in the form of Direct
Instruction curriculum designed by Siegfried Engelmann, an example of the much ridiculed "sage-on-
the-stage" approach. This Direct Instruction system boosts reading, writing, and math scores by 30 to
40 percentile points in atΒrisk schools. Sadly, Engelmann, like others who successfully challenge
popular fads in educational reform, has been rejected by much of the educational establishment. His
success is an embarrassment to them.
45. Which of the following best reflects the author's opinion about schools?
(A) Teaching social skills is more important than academic skills
(B) Schools must be able to change the attitude of the students.
(C) Teaching academic skills is more important than social skills
(D) Teaching social skills should use conventional methods.
(E) Teaching academic skills is somehow contemporary
PEMBAHASAN SOAL TPA PAKET 18 BAGIAN TPA
SINONIM
46. A. EKLIPS = GERHANA
47. B. MUKJIZAT = BARAKAH
48. B. DEDIKASI = PENGABDIAN
49. C. PROVOKASI = PANCINGAN
50. E. DEHIDRASI = PENYUSUTAN AIR
ANTONIM
51. D. GEGAI >< KUAT
52. E. CANGGIH >< SEDERHANA
53. A. KONVEKS >< KONKAF
54. D. PERINTIS >< PEWARIS
55. D. TINGGI >< RENDAH
ANALOGI
56. E.
SEKUMPULAN BUNGA DALAM BUKET = SEKUMPULAN KERTAS DALAM BUKU
57. C.
RUMPUT ADA DI LAPANGAN = BINTANG ADA DI ANGKASA
58. D.
ULAT : KEPOMPONG : KUPU-KUPU = BAYI : KANAK-KANAK : REMAJA
59. C.
TUKANG MENGGUNAKAN GERGAJI DAN PALU = MONTIR MENGGUNAKAN OBENG DAN TANG
60. E.
BURUNG TERBANG DI UDARA = IKAN BERENANG DI LAUT
NUMERIKAL
61. C.
1/9 , 1/3 , 1, 3, 9, , 27 , 81, 243
Merupakan deret geometri dengan rasio 3
62. D.
18, 9, 3, 8, 4, 2, 7, 31
π
Merupakan deret dengan pola dibagi 2, diakarkan, ditambah 5 dan seterusnya
63. D.
10, 30, 32, 16, 48, 50, 25, 75
Merupakan deret dengan pola dikalikan 3, ditambah 2, dibagi 2, dan seterusnya
64. B.
15, 10, 5, 20, 15, 10, 40, 35
Merupakan deret dengan pola dikurangi 5, dikurangi 5, dikalikan 4, dan seterusnya
65. B.
A, B, D, B, B, D, C, B, D, D, B, D, E, B
Merupakan deret dengan pola sebagai berikut
A, B, D, B, B, D, C, B, D, D, B, D, E, B
ABSTRAKSI HITUNGAN
66. B.
12 + 22 + 32 + 42 + 52 + .......... + 92 =
1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 = 285
67. C.
a3 β 3a2b + 3ab2 β b3 = 53 β 3.52.2 + 3.5.22
= 125 β 150 + 60 = 27
68. C.
(882 + 115)2 = 9972 = 994.009
69. A. 44
20 β
32
68 = 2,2 β 0,47 = 1,73
70. A
X = 75% x 24 = 18
Y = Β½ x 27 = 13,5
71. C.
M = 0,375 % x 5,43
N = 5,43 % x 0,375
Berlaku hubungan komutatif sehingga M = N
72. B.
2*(3*(5*1)) = 2*(3*(5-1)
= 2*(3*4) = 2*(3-16)
= 2*(-13) = 2-169
= -167
73. E. x+ x +2 + x + 4 +2x β3 + 2
5 =
5x+5
5 = 16
x+ 1 = 16
maka x = 15.
Maka umur yang paling tua adalah 2.15 β 3 = 27 tahun
74. C.
βMenyusulβ berarti menempuh jarak yang sama.
Misal waktu yang dibutuhkan truk = T
Maka waktu yang dibutuhkan sedan = T-1/2
Sehingga memenuhi persamaan GLB
S truk = S sedan
V truk . T = V sedan . (T-1/2)
40.T = 60 . T β 30
20 T = 30
Maka T = 3/2 jam
Sehingga sedan akan menyusul truk pada pukul 9.40
75. C.
Misal jari- jari tabung B adalah R. dan Tinggi Tabung B adalah T
Volume A/ Volume B = Ο. (RA)2 . TA/ Ο.(R)2.T
Volume A/ Volume B = Ο.(R2/4).4T / Ο.R2.T
Sehingga Volume A : Volume B = 1 : 1
76. B.
77. C.
78. D.
79. B.
80. C.
81. D.
82. B.
83. C.
84. D.
85. B.
86. D.
87. C.
88. E.
89. A.
90. B.