TU IOST | notesharu likely questions
Answer (a): Abundant means existing in large quantity, so plentiful is the match.
Why it is likely: Synonyms came up 20 times in 5 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): A candid person speaks honestly and openly, which is frank.
Why it is likely: Synonyms came up 20 times in 5 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): Diligent describes steady, careful effort, the same as hardworking.
Why it is likely: Synonyms came up 20 times in 5 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): Reluctant means not wanting to do something, so unwilling fits.
Why it is likely: Synonyms came up 20 times in 5 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): To mitigate is to make a problem less severe, that is, to lessen it.
Why it is likely: Synonyms came up 20 times in 5 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): Frugal means careful with money, the same as thrifty.
Why it is likely: Synonyms came up 20 times in 5 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): Benevolent means kind and well meaning; cruel is the opposite.
Why it is likely: Antonyms came up 14 times in 4 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): Transparent lets light pass through; opaque does not.
Why it is likely: Antonyms came up 14 times in 4 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): Scarce means in short supply; abundant means in large supply.
Why it is likely: Antonyms came up 14 times in 4 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): Hostile means unfriendly or aggressive; friendly is the opposite.
Why it is likely: Antonyms came up 14 times in 4 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (c): The adjective allergic takes the preposition to.
Why it is likely: Prepositions came up 19 times in 5 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (a): Since is used with a fixed starting point in time (2018); for is used with a length of time.
Why it is likely: Prepositions came up 19 times in 5 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (c): The verb abide takes by when it means to obey a rule.
Why it is likely: Prepositions came up 19 times in 5 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): We accuse someone of a wrongdoing.
Why it is likely: Prepositions came up 19 times in 5 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (c): Congratulate is followed by on.
Why it is likely: Prepositions came up 19 times in 5 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (a): The idiom describes a task that needs almost no effort.
Why it is likely: Idioms came up 14 times in 3 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): Breaking the ice means easing the first tension between people who do not know each other.
Why it is likely: Idioms came up 14 times in 3 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (c): A blue moon is a rare event, so the phrase means very seldom.
Why it is likely: Idioms came up 14 times in 3 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (c): Spilling the beans means letting out secret information.
Why it is likely: Idioms came up 14 times in 3 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): Call off means to cancel.
Why it is likely: Phrasal verbs came up 12 times in 4 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (b): Come across means to find something by chance.
Why it is likely: Phrasal verbs came up 12 times in 4 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (a): Switch on means to start an electric device such as a light. Put off, turn up and take in do not fit a light that must be lit.
Why it is likely: Phrasal verbs came up 12 times in 4 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (b): A bibliophile is a lover of books.
Why it is likely: One-word substitution came up 9 times in 2 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): An apiary is a place where bees are kept; an aviary is for birds.
Why it is likely: One-word substitution came up 9 times in 2 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): Claustrophobia is fear of confined spaces; acrophobia is fear of heights.
Why it is likely: One-word substitution came up 9 times in 2 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): Illegible means impossible to read; legible means readable.
Why it is likely: One-word substitution came up 9 times in 2 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): Honest begins with a vowel sound (the h is silent), so we use an.
Why it is likely: Articles came up 9 times in 3 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (c): Names of mountain ranges take the.
Why it is likely: Articles came up 9 times in 3 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (c): Although introduces a contrast between failing and studying hard.
Why it is likely: Conjunctions came up 7 times in 4 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): Or joins a command with its unwanted result.
Why it is likely: Conjunctions came up 7 times in 4 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): Present continuous passive is is/are being + past participle.
Why it is likely: Passive voice came up 7 times in 3 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): A past event with an agent in the passive takes was/were + past participle.
Why it is likely: Passive voice came up 7 times in 3 past BIT papers (latest 2080).
Revise: Grammar and Usage (Class 11 notes)
Answer (a): Past perfect shows an action completed before another past action.
Why it is likely: Tenses came up 7 times in 4 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): Since with a starting point needs the present perfect.
Why it is likely: Tenses came up 7 times in 4 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): The tag for Let us (suggestion) is shall we.
Why it is likely: Question tags came up 7 times in 3 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (b): Never makes the sentence negative, so the tag is positive: does she.
Why it is likely: Question tags came up 7 times in 3 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (b): A real future condition takes if + present, will + base verb.
Why it is likely: Conditionals came up 7 times in 4 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (c): An unreal present condition takes if + past, would + base verb.
Why it is likely: Conditionals came up 7 times in 4 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (c): Neither is a singular subject, so the verb is singular (was).
Why it is likely: Subject-verb agreement came up 6 times in 3 past BIT papers (latest 2078).
Revise: Grammar and Usage (Class 11 notes)
Answer (a): News is uncountable and takes a singular verb.
Why it is likely: Subject-verb agreement came up 6 times in 3 past BIT papers (latest 2078).
Revise: Grammar and Usage (Class 11 notes)
Answer (b): The word is stressed as pho-TOG-ra-phy.
Why it is likely: Word stress came up 5 times in 3 past BIT papers (latest 2080).
Answer (c): The word is stressed as ed-u-CA-tion.
Why it is likely: Word stress came up 5 times in 3 past BIT papers (latest 2080).
Answer (b): In reported speech the present tense moves back to past and the pronoun I becomes he.
Why it is likely: Direct and indirect speech came up 5 times in 3 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): A wh-question becomes a statement order clause, with the tense moved back.
Why it is likely: Direct and indirect speech came up 5 times in 3 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (c): Have + object + past participle shows that someone else did the work.
Why it is likely: Causative verbs came up 4 times in 2 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): Must not expresses a prohibition.
Why it is likely: Modals came up 4 times in 2 past BIT papers (latest 2079).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): The usual collocation is make a mistake.
Why it is likely: Collocations came up 3 times in 2 past BIT papers (latest 2080).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): The pronoun is a subject here, so the subject form I is used.
Why it is likely: Pronouns came up 3 times in 3 past BIT papers (latest 2078).
Revise: Grammar and Usage (Class 11 notes)
Answer (d): Falling asleep at once shows great tiredness, so exhausted fits.
Why it is likely: Vocabulary in context came up 5 times in 1 past BIT papers (latest 2079).
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): Yes/no questions normally end in a rising tone.
Why it is likely: Intonation came up 3 times in 3 past BIT papers (latest 2080).
Answer (a): The limit equals $5a^4$. So $5a^4=80$, $a^4=16$, and $a=2$ for $a>0$.
Why it is likely: Limits came up 9 times in 5 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (d): $\frac{\sin4x}{\tan2x}=\frac{\sin4x}{4x}\cdot\frac{2x}{\tan2x}\cdot\frac{4x}{2x}\to 1\cdot1\cdot2=2$.
Why it is likely: Limits came up 9 times in 5 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (c): Divide by $x^2$: the limit is the ratio of leading coefficients, $3/5$.
Why it is likely: Limits came up 9 times in 5 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (b): By the chain rule, $\frac{1}{\sin x^2}\cdot\cos x^2\cdot 2x=2x\cot x^2$.
Why it is likely: Differentiation came up 9 times in 4 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (b): $\frac{dy}{dx}=3x^2-12=0$ gives $x^2=4$, so $x=\pm2$.
Why it is likely: Differentiation came up 9 times in 4 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (a): Chain rule: $e^{3x^2+1}\cdot\frac{d}{dx}(3x^2+1)=6x,e^{3x^2+1}$.
Why it is likely: Differentiation came up 9 times in 4 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (b): For $\int\frac{dx}{ax+b}$ the answer is $\frac1a\ln|ax+b|+c$.
Why it is likely: Integration came up 9 times in 5 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (c): $10^{\log_{10}x}=x$, and $\int x,dx=\frac{x^2}{2}+c$.
Why it is likely: Integration came up 9 times in 5 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (b): Put $u=1+\sin x$, $du=\cos x,dx$; the integral is $\int\frac{du}{u}=\ln|u|+c$.
Why it is likely: Integration came up 9 times in 5 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (d): Equal roots need $k^2-4\cdot9=0$, so $k^2=36$ and $k=\pm6$.
Why it is likely: Quadratic equations came up 8 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (d): $\alpha+\beta=6$, $\alpha\beta=5$, so $\alpha^2+\beta^2=36-10=26$.
Why it is likely: Quadratic equations came up 8 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (b): Roots $r,2r$: $3r=-b/a$ and $2r^2=c/a$. Eliminating $r$ gives $2b^2=9ac$.
Why it is likely: Quadratic equations came up 8 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (a): Multiply by $(2+i)$: $\frac{(2+i)^2}{5}=\frac{4+4i-1}{5}=\frac{3+4i}{5}$.
Why it is likely: Complex numbers came up 8 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (b): $47=4\cdot11+3$, so $i^{47}=i^3=-i$.
Why it is likely: Complex numbers came up 8 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (b): $|1+i|=\sqrt2$, so $|(1+i)^4|=(\sqrt2)^4=4$.
Why it is likely: Complex numbers came up 8 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (b): $n(A\cup B)=20+15-5=30$.
Why it is likely: Sets came up 7 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (c): Total subsets $=2^4=16$; removing the set itself gives 15 proper subsets.
Why it is likely: Sets came up 7 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (c): Solve $2x+3=9$, so $x=3$.
Why it is likely: Functions came up 7 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (c): $y=(x+3)^2+1\ge1$.
Why it is likely: Functions came up 7 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (d): $\log_2 32=5$ and $\log_3 81=4$, so the difference is $1$.
Why it is likely: Logarithms came up 6 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (c): $5^{2\log_5 3}=5^{\log_5 9}=9$.
Why it is likely: Logarithms came up 6 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (c): $x^2-16=0$, so $x=\pm4$.
Why it is likely: Determinants came up 5 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (d): $|A|=4-6=-2$, and for a $2\times2$ matrix $|2A|=2^2|A|=-8$.
Why it is likely: Determinants came up 5 times in 5 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (c): Primes on a die are 2, 3, 5, so the probability is $3/6=1/2$.
Why it is likely: Probability came up 5 times in 5 past BIT papers (latest 2080).
Revise: Statistics and Probability (Class 11 notes)
Answer (c): $P(A\cup B)=0.4+0.5-0.4\times0.5=0.7$.
Why it is likely: Probability came up 5 times in 5 past BIT papers (latest 2080).
Revise: Statistics and Probability (Class 11 notes)
Answer (a): $r=\sqrt{9+16+11}=\sqrt{36}=6$.
Why it is likely: Circle came up 5 times in 3 past BIT papers (latest 2079).
Revise: Analytic geometry (Class 11 notes)
Answer (a): Tangent at $(x_1,y_1)$ is $xx_1+yy_1=r^2$, giving $3x+4y=25$.
Why it is likely: Circle came up 5 times in 3 past BIT papers (latest 2079).
Revise: Analytic geometry (Class 11 notes)
Answer (c): If $\sin\theta=5/13$ then $\cos\theta=\sqrt{1-25/169}=12/13$.
Why it is likely: Inverse trigonometric functions came up 4 times in 4 past BIT papers (latest 2080).
Revise: Trigonometry (Class 12 notes)
Answer (c): Magnitude is $\sqrt{9+16}=5$; divide the vector by 5.
Why it is likely: Vectors came up 4 times in 2 past BIT papers (latest 2080).
Revise: Vectors (Class 11 notes)
Answer (c): $[x^3+x]_0^2=8+2=10$.
Why it is likely: Definite integrals came up 4 times in 4 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (b): Skew-symmetry needs $a_{21}=-a_{12}$, so $-4=-k$ and $k=4$.
Why it is likely: Matrices came up 4 times in 3 past BIT papers (latest 2079).
Revise: Algebra (Class 11 notes)
Answer (b): $S_{20}=\frac{20}{2}[2\cdot3+19\cdot4]=10\times82=820$.
Why it is likely: Arithmetic progression came up 3 times in 2 past BIT papers (latest 2080).
Revise: Algebra (Class 11 notes)
Answer (a): $\tan\frac\pi3=\sqrt3$ and tangent repeats every $\pi$, so $\theta=n\pi+\frac\pi3$.
Why it is likely: Trigonometric equations came up 3 times in 3 past BIT papers (latest 2080).
Revise: Trigonometry (Class 12 notes)
Answer (c): The limit is $\lim_{x\to3}(x+3)=6$, and continuity needs $k$ equal to it.
Why it is likely: Continuity came up 3 times in 3 past BIT papers (latest 2080).
Revise: Calculus (Class 11 notes)
Answer (d): $r^3=96/12=8$, so $r=2$; $a=12/r^2=3$.
Why it is likely: Geometric progression came up 3 times in 2 past BIT papers (latest 2079).
Revise: Algebra (Class 11 notes)
Answer (a): RAM loses its contents when power is switched off; the others keep data.
Why it is likely: Memory came up 7 times in 5 past BIT papers (latest 2080).
Revise: Computer System (Class 11 notes)
Answer (c): Registers sit inside the CPU and are faster than cache, RAM and disk.
Why it is likely: Memory came up 7 times in 5 past BIT papers (latest 2080).
Revise: Computer System (Class 11 notes)
Answer (a): MS Access is a database management package.
Why it is likely: Application software came up 5 times in 2 past BIT papers (latest 2079).
Revise: Application Package (Class 11 notes)
Answer (b): Ubuntu is a Linux-based operating system. MySQL is a database system, Photoshop an image editor and Chrome a browser.
Why it is likely: Operating system came up 4 times in 3 past BIT papers (latest 2080).
Revise: Computer Software and Operating System (Class 11 notes)
Answer (a): The anchor tag <a> with the href attribute creates a link.
Why it is likely: HTML came up 4 times in 1 past BIT papers (latest 2080).
Revise: Web Technology I (Class 11 notes)
Answer (a): A plotter prints large drawings; the others send input to the computer.
Why it is likely: Output devices came up 4 times in 2 past BIT papers (latest 2079).
Revise: Computer System (Class 11 notes)
Answer (b): Blu-ray discs are read with a laser; the others are magnetic.
Why it is likely: Storage devices came up 4 times in 2 past BIT papers (latest 2079).
Revise: Computer System (Class 11 notes)
Answer (d): A compiler translates the complete program before it runs; an interpreter goes line by line.
Why it is likely: Programming languages came up 3 times in 3 past BIT papers (latest 2080).
Revise: Programming Concepts and Logic (Class 11 notes)
Answer (b): HTTP carries web pages between browser and server.
Why it is likely: Internet came up 3 times in 2 past BIT papers (latest 2079).
Revise: Concept of Network and Data Communication (Class 12 notes)
Answer (b): $8+0+2+1=11$.
Why it is likely: Number conversion came up 3 times in 2 past BIT papers (latest 2080).
Revise: Number System and Boolean Logic (Class 11 notes)
Answer (a): $25=16+8+1$, which is $11001$.
Why it is likely: Number conversion came up 3 times in 2 past BIT papers (latest 2080).
Revise: Number System and Boolean Logic (Class 11 notes)
Answer (a): A barcode reader scans the bars and sends the code to the computer.
Why it is likely: Input devices came up 3 times in 2 past BIT papers (latest 2079).
Revise: Computer System (Class 11 notes)
Answer (d): A virus replicates by attaching itself to other files or programs.
Why it is likely: Cyber security came up 2 times in 1 past BIT papers (latest 2080).
Revise: Information Security and Cyber Law (Class 11 notes)
Answer (d): BIOS is firmware kept in a ROM chip so that it is available at start-up.
Why it is likely: Computer basics came up 3 times in 2 past BIT papers (latest 2079).
Revise: Computer System (Class 11 notes)
Answer (a): NAND is the inverse of AND, so it gives 0 only when both inputs are 1.
Why it is likely: Logic gates came up 2 times in 1 past BIT papers (latest 2080).
Revise: Number System and Boolean Logic (Class 11 notes)