BIT Entrance Exam 2077 Model Questions Questions with Answers

1. aa
2. ban
3. cthe
4. dno article

Answer (c): A specific body part of a specific person takes the definite article: punched on the nose.

Revise: Grammar and Usage (Class 11 notes)

1. ahadn't he
2. bwouldn't he
3. cwould he
4. dhad he

Answer (a): 'He had better' is positive, so the question tag is negative and uses 'had': hadn't he.

Revise: Grammar and Usage (Class 11 notes)

1. awere
2. bhad
3. cwas
4. dhave

Answer (c): The subject is the singular 'One', so the verb is 'was'.

Revise: Grammar and Usage (Class 11 notes)

1. awon't
2. bhas
3. cis
4. dwasn't

Answer (a): After 'I hope' we use a future form for a future event: it won't rain.

Revise: Grammar and Usage (Class 11 notes)

1. awould be
2. bwould have been
3. cwill be
4. dbe

Answer (c): First conditional: if + present simple, then will + base verb.

Revise: Grammar and Usage (Class 11 notes)

1. aat
2. bby
3. cabout
4. don

Answer (d): 'Report on' a subject is the fixed collocation.

Revise: Grammar and Usage (Class 11 notes)

1. aShe said that boiling water is hot.
2. bShe said that boiling water was hot.
3. cShe says that boiling water is hot.
4. dShe told that boiling water isn't hot.

Answer (c): The reporting verb 'says' is present, so no tense change is needed: She says that boiling water is hot.

Revise: Grammar and Usage (Class 11 notes)

1. acheck
2. bchecked
3. cchecks
4. dhad checked

Answer (a): Causative 'have + object + base verb': had the mechanics check the brakes.

Revise: Grammar and Usage (Class 11 notes)

1. aIt has been reported that he was a spy.
2. bIt have reported that he was a spy.
3. cHe has been reported to have been a spy.
4. dboth a and c.

Answer (d): Both (a) and (c) are correct passive forms of the active sentence, so the answer is 'both a and c'.

Revise: Grammar and Usage (Class 11 notes)

1. awhom
2. bthat
3. cwhich
4. dwhy

Answer (d): 'The reason why' is the standard relative construction.

Revise: Grammar and Usage (Class 11 notes)

1. awhile
2. bwhen
3. chowever
4. dtherefore

Answer (a): 'While' joins an action in progress (playing) with the event.

Revise: Grammar and Usage (Class 11 notes)

1. ahimself
2. bherself
3. cthemselves
4. dhimselves

Answer (a): The subject is 'He', so the reflexive pronoun is 'himself'.

Revise: Grammar and Usage (Class 11 notes)

1. aI
2. bthey
3. cus
4. dshe

Answer (a): 'As many pens as I (brought)' is the natural comparison; 'as they' would compare the subject with itself and 'us/she' do not fit the nominative after 'as'.

Revise: Grammar and Usage (Class 11 notes)

1. aagree
2. bdisturb
3. cangry
4. dcultivation

Answer (b): Agitate means to shake up or disturb.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aclear
2. bplain
3. chidden
4. davailable

Answer (c): Accessible means reachable; its opposite is hidden (out of reach).

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aPlaying a ball
2. bJust barely
3. cBe sick
4. dDoing a good job

Answer (d): The idiom means being alert and doing a job well.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aun
2. bdis
3. cdes
4. dmis

Answer (b): The opposite of agree is disagree.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. afrom
2. bin
3. cfor
4. dwith

Answer (d): 'Afflicted with' is the fixed collocation.

Revise: Grammar and Usage (Class 11 notes)

1. awere
2. bhad have
3. cam
4. dwas

Answer (a): Unreal present conditional uses 'were' for all subjects.

Revise: Grammar and Usage (Class 11 notes)

1. acan you
2. bwill you
3. cshall we
4. dwould you?

Answer (b): The tag for 'Let me' as an imperative request is 'will you'.

Revise: Grammar and Usage (Class 11 notes)

1. aan
2. bno article
3. ca
4. dthe

Answer (d): Ordinal numbers take 'the': the second boy.

Revise: Grammar and Usage (Class 11 notes)

1. ais walking
2. bwalked
3. chas walked
4. dwalks

Answer (c): The present perfect fits an event with present relevance: Man has walked on the moon.

Revise: Grammar and Usage (Class 11 notes)

1. agets
2. bhas
3. cmade
4. dhave

Answer (a): 'Get + object + to-infinitive' is the correct causative: gets me to clean.

Revise: Grammar and Usage (Class 11 notes)

1. aLet a letter be written.
2. bYou should write a letter.
3. cMay you write letter.
4. dYou are requested to write a letter.

Answer (a): Imperative passive: Let + object + be + past participle.

Revise: Grammar and Usage (Class 11 notes)

1. aebullient
2. bdomainent
3. cdaepleoy
4. dsawanneiry

Answer (a): Only 'ebullient' is a real word, meaning cheerful and full of energy.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. adogophobia
2. bcynophobia
3. crabiesophobia
4. dcatoptrophobia

Answer (b): Cynophobia (Greek kyon, dog) is the fear of dogs.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. akingicide
2. bchristicide
3. cregicide
4. dhericide

Answer (c): Latin rex, king, gives regicide.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. a1
2. b2
3. c3
4. d4

Answer (d): nec-es-sar-y has four syllables.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. arising
2. braising-falling
3. cfalling
4. dfalling-rising

Answer (a): Yes/no questions normally take a rising intonation.

Revise: Grammar and Usage (Class 11 notes)

1. a1
2. b2
3. c3
4. d4

Answer (c): pho-to-GRAPH-ics: the stress falls on the third syllable.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ahasn't one
2. bdoesn't one
3. chasn't he
4. ddoes not one

Answer (b): 'One has to' is formed with do, so the tag is 'doesn't one'.

Revise: Grammar and Usage (Class 11 notes)

1. awere
2. bhave
3. care
4. dwas

Answer (d): Furniture is an uncountable noun, so it takes a singular verb: was.

Revise: Grammar and Usage (Class 11 notes)

1. awell
2. bgood
3. cperfect
4. dfluently

Answer (d): An adverb of manner is needed; 'fluently' suits speaking a language ('well' also works but 'fluently' is the intended choice).

Revise: Grammar and Usage (Class 11 notes)

1. awill
2. bhas been
3. care
4. dis

Answer (d): One article for both nouns means one person who is both novelist and poet, so the verb is singular: is.

Revise: Grammar and Usage (Class 11 notes)

1. aova
2. bsyllabi
3. cdata
4. ddatum

Answer (d): Datum is the singular; data, ova and syllabi are plurals.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aThe
2. ba
3. cno article
4. dan

Answer (c): Abstract nouns used generally take no article.

Revise: Grammar and Usage (Class 11 notes)

1. ato fell
2. bfall
3. cfalled
4. dfallen

Answer (a): This is a causative sentence meaning 'have the tree cut down'. The intended word is 'fell/felled'; of the options only 'to fell' contains the right verb.

Revise: Grammar and Usage (Class 11 notes)

1. ahad gone
2. bgo
3. cgone
4. dwill go

Answer (a): Third conditional: if + past perfect, would have + past participle.

Revise: Grammar and Usage (Class 11 notes)

1. aThe trees were cut by him.
2. bThe trees are cut by him.
3. cThe trees is cut by him.
4. dThe trees was cut by him.

Answer (a): Past simple active becomes were/was + past participle; plural 'trees' takes 'were'.

Revise: Grammar and Usage (Class 11 notes)

1. aHe says, "I will visit her tomorrow."
2. bHe said, "I will visit her tomorrow."
3. cHe says, "I would visit her tomorrow."
4. dHe said, "I would visit her tomorrow."

Answer (b): Keep 'said'; would becomes will and 'the following day' becomes tomorrow.

Revise: Grammar and Usage (Class 11 notes)

1. a$200$
2. b$40$
3. c$140$
4. d$110$

Answer (c): $n(A\cup B)=n(A)+n(B)-n(A\cap B)$ is largest when $n(A\cap B)=0$, giving $80+60=140$.

Revise: Algebra (Class 11 notes)

1. a$|x-5|\le 6$
2. b$|x+2|\ge 3$
3. c$|5-x|\ge 2$
4. d$|5-2x|<1$

Answer (a): The interval has midpoint $5$ and half-length $6$, so $|x-5|\le 6$.

Revise: Algebra (Class 11 notes)

1. a$(-\infty,\infty)$
2. b$(-\infty,1]$
3. c$[1,\infty)$
4. d$(-\infty,1)$

Answer (c): $y=(x-2)^2+1\ge 1$, so the range is $[1,\infty)$.

Revise: Algebra (Class 11 notes)

1. a$\frac{\pi}{2}$
2. b$1$
3. c$\pi$
4. d$\frac{\pi}{4}$

Answer (c): Period of $\cos kx$ is $2\pi/k=2\pi/2=\pi$.

Revise: Trigonometry (Class 11 notes)

1. a$\frac12$
2. b$\sqrt2$
3. c$1$
4. d$2$

Answer (d): $9^x=81=9^2$, so $x=2$.

Revise: Algebra (Class 11 notes)

1. a$1$
2. b$0$
3. c$\frac12$
4. d$abc$

Answer (a): $x+1=\log_a(abc)$, so $\frac1{x+1}=\log_{abc}a$. The three terms sum to $\log_{abc}(abc)=1$.

Revise: Algebra (Class 11 notes)

1. a$\frac{15}{13}$
2. b$\frac{50}{33}$
3. c$\frac23$
4. dsum doesn't exist

Answer (b): Geometric series with $a=1.5$, $r=0.01$: $S=\frac{1.5}{0.99}=\frac{50}{33}$.

Revise: Algebra (Class 11 notes)

1. a$2$
2. b$\frac12$
3. c$-1$
4. d$\frac32$

Answer (a): The exponent is $\sum n/2^{n+1}=\frac12\sum n/2^n=\frac12\cdot 2=1$, so the product is $2^1=2$.

Revise: Algebra (Class 11 notes)

1. a$k=-\frac23$
2. b$k=0$
3. c$k=\frac23$
4. d$k\ne -\frac23$

Answer (d): Unique solution needs a nonzero determinant: $3k+2\ne0$, so $k\ne -\frac23$.

Revise: Algebra (Class 11 notes)

1. a$b^3+ac^2+a^2c+3abc=0$
2. b$b^3+a^2c+ac^2=3abc$
3. c$a^3+bc^2+b^2c-3abc=0$
4. d$a^3+b^3+c^3-3abc=0$

Answer (b): Roots $\alpha,\alpha^2$: $(\alpha+\alpha^2)^3=\alpha^3+\alpha^6+3\alpha^3(\alpha+\alpha^2)$. Substitute sum $=-b/a$, product $\alpha^3=c/a$ to get $b^3+a^2c+ac^2=3abc$.

Revise: Algebra (Class 11 notes)

1. a$45^\circ$
2. b$135^\circ$
3. c$315^\circ$
4. ddoesn't exist

Answer (c): $1-i$ lies in the fourth quadrant with $\tan\theta=-1$, so $\theta=-45^\circ$, i.e. $315^\circ$.

Revise: Algebra (Class 11 notes)

1. a$4$
2. b$8$
3. c$12$
4. d$5$

Answer (b): Mean proportional $=\sqrt{4\times16}=8$.

Revise: Algebra (Class 11 notes)

1. a$22\frac57$ days
2. b$25\frac57$ days
3. c$21\frac75$ days
4. d$30\frac57$ days

Answer (b): Taking A $=45$ and B $=60$ days (15 days apart, ratio 3:4), together they need $\frac{45\cdot60}{105}=25\frac57$ days.

Revise: Algebra (Class 11 notes)

1. a$500$ km/hr
2. b$600$ km/hr
3. c$750$ km/hr
4. d$100$ km/hr

Answer (c): $\frac{1500}{v}-\frac{1500}{v+250}=\frac12$ gives $v(v+250)=750000$, so $v=750$.

Revise: Algebra (Class 11 notes)

1. a$1650.50$
2. bRs. $1675.3$
3. cRs $1680$
4. dRs. $1700$

Answer (d): Present worth $=\frac{2040}{1+4\times0.05}=\frac{2040}{1.2}=1700$.

Revise: Algebra (Class 11 notes)

1. a$12\%$
2. b$11\%$
3. c$10\%$
4. d$9\%$

Answer (c): Interest equals principal: $P\cdot r\cdot10/100=P$, so $r=10%$.

Revise: Algebra (Class 11 notes)

1. aRs. 150
2. bRs. 450
3. cRs. 600
4. dRs. 900

Answer (d): One part is Rs 300, so Binita gets $3\times300=900$.

Revise: Algebra (Class 11 notes)

1. a$\frac{6}{15}$
2. b$\frac53$
3. c$\frac25$
4. d$\frac{13}{15}$

Answer (d): $p(A\cup B)=\frac23+\frac35-\frac23\cdot\frac35=\frac{10+9-6}{15}=\frac{13}{15}$.

Revise: Statistics and Probability (Class 11 notes)

1. aMean>Mode>median
2. bMean<median<Mode
3. cMedian<mode<Mean
4. dMode<mean<Median

Answer (b): In a negatively skewed distribution the tail is on the left: mean < median < mode.

Revise: Statistics and Probability (Class 11 notes)

1. a$n!$
2. b$(n+2)!$
3. c$(n+1)!$
4. d$(n-1)!$

Answer (a): $n!$ divides both $(n+1)!$ and $(n+2)!$, so it is the HCF.

Revise: Algebra (Class 11 notes)

1. a$1$
2. b$-1$
3. c$0$
4. d$\pi$

Answer (a): Taking tangent of $\tan^{-1}x+\tan^{-1}y=\frac\pi2-\tan^{-1}z$ gives $\frac{x+y}{1-xy}=\frac1z$, so $xy+yz+zx=1$.

Revise: Trigonometry (Class 11 notes)

1. a$2n\pi\pm\frac\pi4+\frac\pi3$
2. b$n\pi+\frac\pi4+(-1)^n\frac\pi2$
3. c$2n\pi+\frac\pi4$
4. d$n\pi\pm\frac\pi4$

Answer (c): $\sqrt2\sin(\theta+\frac\pi4)=\sqrt2$ gives $\theta+\frac\pi4=2n\pi+\frac\pi2$, so $\theta=2n\pi+\frac\pi4$.

Revise: Trigonometry (Class 11 notes)

1. aScalene
2. bEquilateral
3. cIsosceles
4. dright angled

Answer (c): $\sin B=\sin(A+C)$, so $\sin(A+C)=\sin(A+C)+\sin(C-A)$, giving $\sin(C-A)=0$, $A=C$.

Revise: Trigonometry (Class 11 notes)

1. a$\frac{14}{5}$
2. b$\frac72$
3. c$-\frac{8}{\sqrt{13}}$
4. d$\frac{6}{\sqrt{13}}$

Answer (d): Distance $=\frac{|12-6|}{\sqrt{3^2+2^2}}=\frac6{\sqrt{13}}$.

Revise: Analytic geometry (Class 11 notes)

1. a$\tan^{-1}(\pm\frac18)$
2. b$\tan^{-1}(\pm\frac17)$
3. c$45^\circ$
4. d$60^\circ$

Answer (a): $\tan\theta=\frac{2\sqrt{h^2-ab}}{a+b}=\frac{2\sqrt{49/4-12}}{8}=\frac18$.

Revise: Analytic geometry (Class 11 notes)

1. a$5$
2. b$9$
3. c$8$
4. d$6$

Answer (b): Intercept $=2\sqrt{f^2-c}=2\sqrt{\frac14+20}=2\cdot\frac92=9$.

Revise: Analytic geometry (Class 11 notes)

1. a$2$
2. b$-1$
3. c$3$
4. d$4$

Answer (c): $r^2=1+\frac94-k=\frac14$, so $k=3$.

Revise: Analytic geometry (Class 11 notes)

1. a$\frac12$
2. b$\frac34$
3. c$\frac23$
4. d$\frac14$

Answer (d): Put $t=x^{1/6}\to2$: $\frac{t-2}{t^2-4}=\frac1{t+2}=\frac14$.

Revise: Calculus (Class 11 notes)

1. a$0$
2. b$1$
3. c$2$
4. d$\log_e2$

Answer (b): $\frac{e^{\sin x}-1}{\sin x}\cdot\frac{\sin x}{x}\to1\cdot1=1$.

Revise: Calculus (Class 11 notes)

1. a$x$
2. b$-1$
3. c$\frac{-\sin x}{\sqrt{1-\sin^2x}}$
4. d$\frac{\cos x}{\sqrt{1-\sin^2x}}$

Answer (b): $\cos^{-1}(\sin x)=\frac\pi2-x$ (principal range), so the derivative is $-1$.

Revise: Calculus (Class 11 notes)

1. a$\frac yx$
2. b$\frac{py}{qx}$
3. c$\frac xy$
4. d$\frac{x^2}{y^2}$

Answer (a): Take logs: $p\ln x+q\ln y=(p+q)\ln(x+y)$. Differentiating and simplifying gives $\frac{dy}{dx}=\frac yx$.

Revise: Calculus (Class 11 notes)

1. a$\sqrt{1-x^2}$
2. b$\frac1{\sqrt{1-x^2}}$
3. c$\frac{-1}{\sqrt{1-x^2}}$
4. d$-\frac1{\sqrt{x^2-1}}$

Answer (b): Standard result: $\frac{d}{dx}\sin^{-1}x=\frac1{\sqrt{1-x^2}}$.

Revise: Calculus (Class 11 notes)

1. aincreasing
2. bdecreasing
3. cstationary
4. dincreasing & decreasing

Answer (c): At a critical point $f'(x)=0$, so the function is momentarily stationary.

Revise: Calculus (Class 11 notes)

1. a$\ln(\sec x)+c$
2. b$\ln(\operatorname{cosec}x)+c$
3. c$\ln(\sin x)+c$
4. d$-\operatorname{cosec}^2x+c$

Answer (c): $\int\frac{\cos x}{\sin x}dx=\ln|\sin x|+c$.

Revise: Calculus (Class 12 notes)

1. a$e^x-\log(e^x+1)$
2. b$e^x+e^{-x}$
3. c$e^x-\log(e^{-x}+1)$
4. d$2\log\left(e^{x/2}+e^{-x/2}\right)$

Answer (d): Write the integrand as $1-\frac2{e^x+1}$; the integral is $2\ln(e^x+1)-x=2\ln\left(e^{x/2}+e^{-x/2}\right)$.

Revise: Calculus (Class 12 notes)

1. a$\frac1x$
2. b$x\log x-x$
3. c$e^x$
4. d$\frac{e^x}{x}$

Answer (b): By parts with $u=\log x$, $dv=dx$: $x\log x-\int1,dx=x\log x-x$.

Revise: Calculus (Class 12 notes)

1. a$\frac{4ab}{3}$
2. b$\frac{8ab}{3}$
3. c$\frac{16ab}{3}$
4. d$\frac{2ab}{3}$

Answer (c): Standard result for two parabolas of this form: area $=\frac{16ab}{3}$.

Revise: Calculus (Class 12 notes)

1. aThe World Bank
2. bIMF
3. cWTO
4. dIFC

Answer (c): The World Trade Organization oversees and regulates international trade rules.

1. aThailand
2. bIndia
3. cUSA
4. dGermany

Answer (b): Among the options only India is a major tea producer.

1. aSuperior
2. bCaspian
3. cRara
4. dNochless

Answer (b): The Caspian Sea is the largest inland water body in the world.

1. aBaburam Acharya
2. bBaburam Bhattrai
3. cKirk Patrick
4. dBaburam Patrick

Answer (a): Historian Baburam Acharya is called the father of Nepali history.

1. a1966 AD
2. b1967 AD
3. c1968 AD
4. d1969 AD

Answer (a): ADB was founded on 19 December 1966.

1. aLhasa
2. bTaipei
3. cSimla
4. dThimpu

Answer (a): Lhasa is at about 3,650 m, higher than the others.

1. a22 April
2. b15 March
3. c5 June
4. d7 December

Answer (a): Earth Day is observed every year on 22 April.

1. aMoscow
2. bLondon
3. cTokyo
4. dNew York

Answer (c): In the 2009 cost-of-living survey of that period Tokyo ranked first.

1. aButterfly cell
2. bCaterpillar cell
3. cHuman cell
4. dMonkey cell

Answer (b): The Queensland swine flu vaccine work was reported as using insect cell lines (caterpillar cells) rather than eggs, so caterpillar cell is the intended answer.

1. a16
2. b15
3. c14
4. d13

Answer (d): Michael Jackson won 13 competitive Grammy Awards.

1. ahigher power consumption
2. bvariable speed
3. cneed to refresh the capacitor charge every once in two milliseconds
4. dhigher bit density

Answer (c): DRAM stores bits in capacitors that leak, so they need refreshing every few milliseconds; SRAM does not.

Revise: Computer System (Class 11 notes)

1. aAccumulator
2. bControl unit
3. cRegister unit
4. dMemory

Answer (d): Main storage is the computer's primary memory.

Revise: Computer System (Class 11 notes)

1. aLaser printer
2. bInk-jet printer
3. cDaisy wheel printer
4. dDot-matrix printer

Answer (a): Laser printers give high-quality, fast output suited to desktop publishing.

Revise: Computer System (Class 11 notes)

1. aGroup
2. bBlocking factor
3. cSector
4. dField

Answer (b): Blocking factor is the count of logical records per physical block.

Revise: DBMS Concept (Class 12 notes)

1. aLaser disks
2. bTape cassettes
3. cRAM cartridge
4. dPunched cards

Answer (a): Optical (laser) disks encode data as microscopic pits read by a laser.

Revise: Computer System (Class 11 notes)

1. aMagnetic card
2. bMagnetic tape
3. cPunched card
4. dOptical mark reader

Answer (a): A magnetic card holds small amounts of data; the other options are bulk media or input devices.

Revise: Computer System (Class 11 notes)

1. aMachine
2. bApplication language
3. cLow-level language
4. dHigh level language

Answer (b): Functional languages are also called applicative languages, since programs are built by applying functions. 'Application language' is the closest option.

Revise: Programming Concepts and Logic (Class 11 notes)

1. aDVU
2. bUVD
3. cVDU
4. dCCTV

Answer (c): A monitor is a Visual Display Unit (VDU).

Revise: Computer System (Class 11 notes)

1. aVDU
2. bHard copy
3. cSoft copy
4. dScreen Copy

Answer (c): Output on screen is not permanent, so it is soft copy.

Revise: Computer System (Class 11 notes)

1. aCharge Letter
2. bChange Sentence
3. cChange Case
4. dChange word

Answer (c): Word processors provide the Change Case command for this.

Revise: Application Package (Class 11 notes)