Berikut ini adalah kumpulan latihan soal SIMAK KKI UI Kelas Internasional yang mencakup Basic Mathematics, English Proficiency, dan Logical-Quantitative Reasoning.
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KKI UI Standard
If $f(x) = \frac{2x – 3}{x + 4}$ for $x \neq -4$, what is the inverse function $f^{-1}(x)$?
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Let $y = \frac{2x – 3}{x + 4}$. Cross multiply: $y(x + 4) = 2x – 3 \iff yx + 4y = 2x – 3 \iff 4y + 3 = 2x – yx \iff x(2 – y) = 4y + 3 \iff x = \frac{4y + 3}{2 – y}$. Swapping variables gives $f^{-1}(x) = \frac{4x + 3}{2 – x}$ (for $x \neq 2$).
KKI UI Standard
The roots of the equation $2x^2 – 6x + k = 0$ differ by 4. Find the value of $k$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Let the roots be $x_1$ and $x_2$. We are given $|x_1 – x_2| = 4$. Using the relation $(x_1 – x_2)^2 = (x_1 + x_2)^2 – 4x_1 x_2$, with $x_1 + x_2 = -(-6)/2 = 3$ and $x_1 x_2 = k/2$. Thus $4^2 = 3^2 – 4(k/2) \iff 16 = 9 – 2k \iff 2k = 9 – 16 = -7 \iff k = -3.5$.
KKI UI Standard
If $3^x \cdot 9^y = 81$ and $2^{x-y} = 8$, find the value of $x + y$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
From $3^x \cdot (3^2)^y = 3^4$, we get $x + 2y = 4$. From $2^{x-y} = 2^3$, we get $x – y = 3$. Subtracting the second equation from the first: $3y = 1 \implies y = 1/3$. Then $x = 3 + 1/3 = 10/3$. Thus $x + y = 10/3 + 1/3 = 11/3 \approx 3.67$.
KKI UI Standard
When polynomial $P(x) = x^3 – 2x^2 + ax + b$ is divided by $(x – 1)$, the remainder is 4. When divided by $(x + 2)$, the remainder is $-5$. Find the value of $a + b$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
By remainder theorem, $P(1) = 1^3 – 2(1)^2 + a(1) + b = 4 \implies -1 + a + b = 4 \implies a + b = 5$. Notice the question asks directly for $a + b$, which is instantly obtained without needing to solve for $a$ and $b$ individually.
KKI UI Standard
If $\log_2 3 = p$ and $\log_3 5 = q$, express $\log_6 50$ in terms of $p$ and $q$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Note that $\log_2 5 = \log_2 3 \cdot \log_3 5 = pq$. Then change base to 2: $\log_6 50 = \frac{\log_2 50}{\log_2 6} = \frac{\log_2 (2 \cdot 5^2)}{\log_2 (2 \cdot 3)} = \frac{\log_2 2 + 2\log_2 5}{\log_2 2 + \log_2 3} = \frac{1 + 2pq}{1 + p}$.
KKI UI Standard
The sum of the first $n$ terms of an arithmetic progression is given by $S_n = 3n^2 + 2n$. What is the 10th term ($U_{10}$)?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
$U_{10} = S_{10} – S_9$. $S_{10} = 3(10)^2 + 2(10) = 320$. $S_9 = 3(9)^2 + 2(9) = 3(81) + 18 = 243 + 18 = 261$. Therefore, $U_{10} = 320 – 261 = 59$.
KKI UI Standard
An infinite geometric series has first term $a = 12$ and converges to a sum of 16. What is the common ratio $r$?
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Formula for infinite sum is $S_{\infty} = \frac{a}{1 – r}$. So $16 = \frac{12}{1 – r} \implies 16(1 – r) = 12 \implies 1 – r = \frac{12}{16} = \frac{3}{4} \implies r = 1 – \frac{3}{4} = \frac{1}{4}$.
KKI UI Standard
Find the set of all real solutions to the inequality $\frac{x – 3}{x + 2} \leq 1$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Rearrange: $\frac{x – 3}{x + 2} – 1 \leq 0 \implies \frac{(x – 3) – (x + 2)}{x + 2} \leq 0 \implies \frac{-5}{x + 2} \leq 0$. Since the numerator $-5 < 0$, the inequality holds true whenever the denominator is strictly positive: $x + 2 > 0 \implies x > -2$.
KKI UI Standard
Given matrix $A = \begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}$. Find the determinant of $(2A^{-1})$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Determinant of $A$ is $\det(A) = (2)(3) – (1)(4) = 6 – 4 = 2$. For an $n \times n$ matrix (here $n = 2$), $\det(kA) = k^n \det(A)$ and $\det(A^{-1}) = \frac{1}{\det(A)}$. Thus $\det(2A^{-1}) = 2^2 \cdot \det(A^{-1}) = 4 \cdot \frac{1}{2} = 2$.
KKI UI Standard
A circle is tangent to the lines $x = 0$ (y-axis) and $y = 0$ (x-axis) in the first quadrant, and its center lies on the line $2x + y = 9$. What is the radius of the circle?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Since the circle is tangent to both positive axes in the first quadrant, its center must be at $(r, r)$, where $r > 0$ is the radius. Since the center lies on $2x + y = 9$, we have $2r + r = 9 \implies 3r = 9 \implies r = 3$.
KKI UI Standard
If $\tan \theta = -\frac{3}{4}$ and $\theta$ is in Quadrant II, what is the value of $\sin 2\theta$?
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
In Quadrant II, sine is positive and cosine is negative. With $\tan \theta = -3/4$, opposite is 3, adjacent is $-4$, hypotenuse is 5. So $\sin \theta = 3/5$ and $\cos \theta = -4/5$. Double angle identity: $\sin 2\theta = 2 \sin \theta \cos \theta = 2 (3/5) (-4/5) = -24/25$.
KKI UI Standard
A committee of 4 people is to be chosen from a group of 5 men and 4 women. What is the probability that the committee contains exactly 2 men and 2 women?
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Total ways to choose 4 from 9 people: $\binom{9}{4} = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} = 126$. Ways to choose 2 men from 5: $\binom{5}{2} = 10$. Ways to choose 2 women from 4: $\binom{4}{2} = 6$. Favorable outcomes = $10 \times 6 = 60$. Probability = $\frac{60}{126} = \frac{10}{21}$.
KKI UI Standard
The mean of a set of 8 distinct integers is 15. When a 9th integer $k$ is added to the set, the new mean becomes 17. What is the value of $k$?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Sum of the initial 8 integers = $8 \times 15 = 120$. Sum of the 9 integers = $9 \times 17 = 153$. The 9th number is $k = 153 – 120 = 33$.
KKI UI Standard
Find the shortest distance between the point $P(3, 4)$ and the line $3x – 4y + 12 = 0$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Formula for distance from point $(x_0, y_0)$ to line $Ax + By + C = 0$: $d = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}}$. Here $A=3, B=-4, C=12, x_0=3, y_0=4$. So $d = \frac{|3(3) – 4(4) + 12|}{\sqrt{3^2 + (-4)^2}} = \frac{|9 – 16 + 12|}{\sqrt{25}} = \frac{5}{5} = 1.0$.
KKI UI Standard
Given vectors $\vec{u} = (2, -1, 3)$ and $\vec{v} = (k, 4, 2)$. If $\vec{u}$ and $\vec{v}$ are perpendicular, find the value of $k$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Two vectors are perpendicular if and only if their dot product is zero: $\vec{u} \cdot \vec{v} = 0 \implies 2(k) + (-1)(4) + 3(2) = 0 \implies 2k – 4 + 6 = 0 \implies 2k + 2 = 0 \implies k = -1$.
KKI UI Standard
A rectangular garden is to be fenced using 40 meters of fencing alongside an existing wall (so only three sides require fencing). What is the maximum possible area of the garden?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Let $x$ be the width perpendicular to the wall (two sides) and $y$ be the length parallel to the wall (one side). Then $2x + y = 40 \implies y = 40 – 2x$. Area $A(x) = x(40 – 2x) = 40x – 2x^2$. Derivative $A'(x) = 40 – 4x = 0 \implies x = 10$. Then $y = 40 – 20 = 20$. Maximum Area = $10 \times 20 = 200\text{ m}^2$.
KKI UI Standard
Solve for $x$: $4^x – 3 \cdot 2^{x+1} + 8 = 0$.
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Rewrite $4^x$ as $(2^x)^2$ and $3 \cdot 2^{x+1}$ as $6 \cdot 2^x$. Let $y = 2^x$. The equation becomes $y^2 – 6y + 8 = 0 \implies (y – 2)(y – 4) = 0$. So $y = 2 \implies 2^x = 2^1 \implies x = 1$; and $y = 4 \implies 2^x = 2^2 \implies x = 2$. Both are valid.
KKI UI Standard
Pipe A can fill a tank in 6 hours, while Pipe B can fill it in 8 hours. Pipe C can empty the full tank in 12 hours. If all three pipes are opened simultaneously, how long will it take to fill the tank?
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Net rate per hour = $1/6 + 1/8 – 1/12$. Find common denominator (24): $\frac{4 + 3 – 2}{24} = \frac{5}{24}$ tank per hour. Total time required = $24/5 = 4.8$ hours (4 hours 48 minutes).
KKI UI Standard
The admissions dean recommended that every international applicant ________ official transcripts verified by the Ministry before October.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
In formal English, verbs expressing recommendation, demand, insistence, or suggestion (recommend, demand, require) take a subjunctive clause using the bare infinitive (‘submit’), regardless of subject person or number.
KKI UI Standard
Seldom ________ such a dramatic convergence of artificial intelligence and biological research within a single decade.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
When a sentence begins with a negative or restrictive adverbial like ‘Seldom’, ‘Rarely’, or ‘Scarcely’, subject-auxiliary inversion is mandatory: Seldom + auxiliary (have) + subject (scientists) + verb (witnessed).
KKI UI Standard
If Dr. Aris ________ the scholarship application deadline last spring, he ________ in Melbourne right now.
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
This is a mixed conditional: an unfulfilled past condition (past perfect: ‘had not missed’) producing a present continuing result (modal + be + -ing: ‘would be studying right now’).
KKI UI Standard
The committee dismissed the hypothesis because empirical evidence demonstrated that the correlation was merely spurious and driven by unmeasured third variables. The word ‘spurious’ most nearly means:
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
‘Spurious’ refers to something that appears plausible on the surface but is actually false, deceitful, or mathematically coincidental rather than causal (bogus/illegitimate).
KKI UI Standard
Identify the underlined portion that contains a grammatical error:
Neither the principal investigator (A) nor the doctoral research assistants (B) was (C) able to replicate the anomalous findings published in the medical journal (D).
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
When subjects are joined by ‘neither… nor’, the verb must agree with the subject closest to it. Here, ‘the doctoral research assistants’ is plural, so the verb should be plural ‘were’ instead of singular ‘was’.
KKI UI Standard
________ by the board of trustees for her pioneering work in microfinance, the young economist was invited to deliver the keynote address at the World Bank symposium.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
A past participle (‘Praised’) is needed to function as a passive modifying clause for the subject (‘the young economist’), meaning ‘Because she was praised by the board of trustees…’
KKI UI Standard
Read the passage below:
‘Economists historically viewed inflation primarily as a monetary phenomenon, reducible to excess money supply chasing scarce goods. However, modern supply-chain shocks and energy cartels have forced central bankers to confront cost-push inflationary episodes where raising interest rates curbs headline demand without repairing the fractured logistical arteries.’
What can be logically inferred from the passage?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
The text states that raising interest rates ‘curbs headline demand without repairing the fractured logistical arteries’, implying rate hikes suppress demand but do not resolve supply disruptions.
KKI UI Standard
Solar power generation has become significantly cheaper over the past decade. ________, integrating fluctuating renewable energy into aging national grids still requires monumental capital investment in grid-scale battery storage.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
‘Nonetheless’ (or Nevertheless) signals a contrast between the falling cost of generation and the lingering high cost/challenge of grid integration.
KKI UI Standard
The author’s argument is reinforced by an array of compelling statistical analyses drawn from longitudinal cohort studies. What is an antonym for ‘compelling’ in this context?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
In an academic context, ‘compelling’ means convincing, forceful, and persuasive. The direct antonym is ‘unconvincing’.
KKI UI Standard
The international symposium aims at fostering cross-border dialogue, promoting sustainable development, and ________ academic collaboration among ASEAN universities.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Parallel structure requires that all items in a list governed by the preposition ‘at’ share the same gerund form: ‘fostering…’, ‘promoting…’, and ‘strengthening…’.
KKI UI Standard
Identify the underlined error:
Despite of (A) the severe monsoon rains, the international flight (B) departed on schedule without causing (C) significant delays for connecting passengers (D).
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
‘Despite’ is a preposition that never takes ‘of’. One must say either ‘Despite the severe monsoon rains’ or ‘In spite of the severe monsoon rains’.
KKI UI Standard
The tech startup was unable to ________ the standards established by the European Union General Data Protection Regulation.
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
The correct English prepositional collocation is ‘comply with’, ‘abide by’, ‘conform to’, or ‘adhere to’.
KKI UI Standard
Read the passage below:
‘While techno-optimists herald autonomous vehicles as the panacea for metropolitan gridlock, empirical deployments reveal thorny liability quandaries and ethical dilemmas that municipal regulators are woefully unprepared to adjudicate.’
The author’s tone toward the immediate deployment of autonomous vehicles can best be described as:
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Words like ‘thorny liability quandaries’ and ‘woefully unprepared’ indicate that the author is cautious and skeptical about the immediate widespread rollout.
KKI UI Standard
Professor Higgins mentored the three young fellows, all of ________ subsequently earned prestigious Rhodes Scholarships.
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
Following a quantifier + preposition construction like ‘all of’, ‘neither of’, or ‘most of’ referring to human persons, the objective relative pronoun ‘whom’ is required.
KKI UI Standard
The senior architect had the structural engineers ________ the load-bearing calculations before pouring the concrete foundation.
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
The causative verb ‘have’ followed by an active agent (‘the structural engineers’) takes a bare infinitive: ‘had someone DO something’.
KKI UI Standard
Passage: ‘Neuroplasticity challenges the long-held dogma that the adult mammalian brain is a static organ with hardwired circuitry. Contemporary imaging demonstrates that targeted cognitive practice and environmental enrichment spur structural synaptic remodeling across the human lifespan.’
What is the primary message of this passage?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
The passage directly asserts that neuroplasticity enables synaptic remodeling across the lifespan, meaning the brain maintains ongoing capacity to reorganize.
KKI UI Standard
After months of protracted negotiations, the diplomats managed to ________ a historic multilateral peace accord.
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
‘Hammer out’ is a well-known diplomatic idiom meaning to reach an agreement or contract after intense, detailed discussions.
KKI UI Standard
Premise 1: All innovative tech firms invest in patent portfolios.
Premise 2: Some clean energy startups do not invest in patent portfolios.
Which of the following conclusions must logically follow?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
If every innovative tech firm must invest in patents, any entity that does NOT invest in patents CANNOT be an innovative tech firm. Since some clean energy startups do not invest in patents, those specific startups cannot be innovative tech firms.
KKI UI Standard
Machine X can assemble 120 circuit boards in 4 hours. Machine Y can assemble 150 boards in 6 hours. Working together, how many hours will it take both machines to assemble 660 boards?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Rate of Machine X = 120 / 4 = 30 boards/hour. Rate of Machine Y = 150 / 6 = 25 boards/hour. Combined rate = 30 + 25 = 55 boards/hour. Time to assemble 660 boards = 660 / 55 = 12 hours.
KKI UI Standard
Identify the next number in the following sequence: 3, 7, 16, 35, 74, ?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Pattern: $a_{n+1} = 2a_n + n$ or look at differences: $7-3=4$, $16-7=9$, $35-16=19$, $74-35=39$. Notice $2(3)+1=7$, $2(7)+2=16$, $2(16)+3=35$, $2(35)+4=74$. Thus the next term is $2(74) + 5 = 148 + 5 = 153$.
KKI UI Standard
A class has 20 female students and 30 male students. The average exam score of the female students is 84, while the average score of the male students is 74. What is the combined class average?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Weighted average = $\frac{(20 \times 84) + (30 \times 74)}{20 + 30} = \frac{1680 + 2220}{50} = \frac{3900}{50} = 78.0$.
KKI UI Standard
Six students (A, B, C, D, E, F) sit around a circular table facing the center. A sits directly opposite D. B sits immediately to the right of A. F sits immediately to the left of D. Who sits directly opposite B?
Lihat Kunci Jawaban & Pembahasan
Jawaban: D
Let positions around the table be 1 to 6 clockwise. Place A at 1. Since D is opposite A, D is at 4. B sits immediately to the right of A (clockwise), so B is at 2. F sits immediately to the left of D (counter-clockwise from 4, which is 5). The position opposite B (pos 2) is pos 5, which is occupied by F! Thus, F sits directly opposite B.
KKI UI Standard
A merchant marks up an article by 40% above cost price, and then offers a discount of 20% on the marked price. What is the merchant’s net percentage profit?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Let cost price = 100. Marked price = $100 \times 1.40 = 140$. Selling price after 20% discount = $140 \times (1 – 0.20) = 140 \times 0.80 = 112$. Net profit = $112 – 100 = 12$, which corresponds to 12%.
KKI UI Standard
On an island, Knights always tell the truth and Knaves always lie. Person X says: ‘At least one of us is a Knave.’ Person Y says nothing. What are X and Y?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
If X were a Knave, his statement ‘At least one of us is a Knave’ would be true, which contradicts a Knave lying. Therefore, X must be a Knight telling the truth. Since his statement is true, at least one is a Knave. Since X is a Knight, Y must be the Knave.
KKI UI Standard
Two trains leave stations 360 km apart at the same time, traveling toward each other on parallel tracks. Train 1 travels at 70 km/h and Train 2 travels at 50 km/h. How many hours after departure will they meet?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Relative speed of approach = $70 + 50 = 120$ km/h. Time to meet = $\frac{\text{Distance}}{\text{Relative Speed}} = \frac{360}{120} = 3.0$ hours.
KKI UI Standard
Given: ‘If an applicant does not have a valid TOEFL/IELTS certificate, they will not be invited for the interview.’ Which of the following is logically equivalent?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
The original statement is of the form $\neg P \implies \neg Q$. The contrapositive of this statement is $Q \implies P$, which states: ‘If an applicant is invited for the interview, then they have a valid certificate.’ Contrapositives are logically equivalent.
KKI UI Standard
If the length of a rectangle increases by 30% and its width decreases by 20%, what is the net percentage change in the area?
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
New Area = $(1 + 0.30)L \times (1 – 0.20)W = 1.30 \times 0.80 \times LW = 1.04 \times LW$. This represents an increase of 4%.
KKI UI Standard
Determine the missing letters in the sequence: AZ, CX, EV, GT, ??
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
First letters advance by +2: A (1), C (3), E (5), G (7) $\implies$ I (9). Second letters move backward by $-2$: Z (26), X (24), V (22), T (20) $\implies$ R (18). Thus the next pair is IR.
KKI UI Standard
A father is four times as old as his son. In 20 years, the father will be twice as old as his son. How old is the father currently?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Let son’s age be $s$ and father’s age be $f = 4s$. In 20 years: $f + 20 = 2(s + 20) \implies 4s + 20 = 2s + 40 \implies 2s = 20 \implies s = 10$. The father’s current age is $4 \times 10 = 40$ years.
KKI UI Standard
Pointing to a photograph of a woman, Farhan said: ‘Her mother is the only daughter of my maternal grandmother.’ How is the woman related to Farhan?
Lihat Kunci Jawaban & Pembahasan
Jawaban: A
‘The only daughter of my maternal grandmother’ is Farhan’s mother. The woman’s mother is Farhan’s mother. Therefore, the woman in the photograph is Farhan’s sister.
KKI UI Standard
How many liters of pure water must be added to 30 liters of a 40% acid solution to dilute it to a 25% acid solution?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
Amount of pure acid in initial solution = $40\% \times 30 = 12$ liters. In the final solution, these 12 liters must represent 25% of the total volume: $0.25 \times V_{\text{final}} = 12 \implies V_{\text{final}} = 12 / 0.25 = 48$ liters. Water added = $48 – 30 = 18$ liters.
KKI UI Standard
Is integer $n$ even?
Statement (1): $n + 3$ is odd.
Statement (2): $3n$ is an integer multiple of 6.
Determine which statement(s) are sufficient to answer.
Lihat Kunci Jawaban & Pembahasan
Jawaban: D
From Statement (1): if $n + 3$ is odd, then $n = \text{odd} – 3 = \text{even}$. Sufficient. From Statement (2): $3n = 6k \implies n = 2k$, which proves $n$ is even. Also sufficient. Hence, EACH statement ALONE is sufficient.
KKI UI Standard
In triangle $ABC$, the angle bisectors of $\angle B$ and $\angle C$ intersect at point $I$ inside the triangle. If $\angle A = 70^\circ$, what is the measure of $\angle BIC$?
Lihat Kunci Jawaban & Pembahasan
Jawaban: C
For incenter $I$, the angle is given by $\angle BIC = 90^\circ + \frac{1}{2}\angle A$. Substituting $\angle A = 70^\circ$: $\angle BIC = 90^\circ + 35^\circ = 125^\circ$.
KKI UI Standard
In an international cohort of 100 students, 65 speak English, 45 speak Mandarin, and 20 speak both languages. How many students speak neither English nor Mandarin?
Lihat Kunci Jawaban & Pembahasan
Jawaban: B
Using the principle of inclusion-exclusion: $n(E \cup M) = n(E) + n(M) – n(E \cap M) = 65 + 45 – 20 = 90$. Students speaking neither language = $100 – 90 = 10$.
Strategi Menghadapi Ujian SIMAK UI KKI (Kelas Internasional)
Agar meraih skor kompetitif dalam seleksi SIMAK KKI UI, terapkan beberapa tips belajar teruji berikut:
- Fokus pada Akurasi Bahasa Inggris Akademik: Seluruh soal SIMAK KKI disajikan dalam bahasa Inggris formal. Pastikan Anda terbiasa dengan terminologi matematika dan logika berbahasa Inggris serta struktur kalimat kompleks (subjunctive, inversion, participle clauses).
- Kuasai Konsep Aljabar dan Logika Kuantitatif: Jangan hanya menghafal rumus cepat, pahami prinsip dasar permodelan fungsi, sistem persamaan, dan penalaran statistik deskriptif.
- Manajemen Waktu Saat Ujian: Soal penalaran logika sering kali memuat narasi panjang. Biasakan membaca inti pertanyaan terlebih dahulu sebelum menganalisis premis atau teks bacaan.
Bagikan artikel ini kepada rekan pejuang KKI UI lainnya dan manfaatkan latihan soal interaktif di atas untuk evaluasi berkala!
