BIT Entrance Exam 2076 Model Questions Questions with Answers

1. areading
2. bread
3. cto read
4. dto reading

Answer (a): 'Like' is followed by a gerund or to-infinitive for general liking, and among the options only the gerund 'reading' fits naturally.

Revise: Grammar and Usage (Class 11 notes)

1. afor buying
2. bto buy
3. cto buying
4. dfor to buy

Answer (b): Purpose is shown with an infinitive of purpose: 'to buy'.

Revise: Grammar and Usage (Class 11 notes)

1. ain
2. bon
3. cto
4. dfor

Answer (a): The adjective 'interested' takes the preposition 'in'.

Revise: Grammar and Usage (Class 11 notes)

1. aanything
2. banywhere
3. cnothing
4. dsomething

Answer (d): 'Something' is used in offers and requests, not 'anything'.

Revise: Grammar and Usage (Class 11 notes)

1. ado you do
2. bare you doing
3. cwill you do
4. ddid you do

Answer (b): A planned future arrangement uses the present continuous: 'are you doing'.

Revise: Grammar and Usage (Class 11 notes)

1. acomes
2. bcome
3. ccame
4. dare coming

Answer (b): The subject 'students' is plural and the statement is a general fact, so the simple present 'come' is used.

Revise: Grammar and Usage (Class 11 notes)

1. aplates
2. bpieces
3. cbowls
4. dgasses

Answer (b): Chicken is counted in 'pieces'.

Revise: Grammar and Usage (Class 11 notes)

1. athough
2. byet
3. cstill
4. dbesides

Answer (b): 'Yet' links the contrast between 'ugly and expensive' and 'people buy them'.

Revise: Grammar and Usage (Class 11 notes)

1. athe train leaves?
2. bleaves the train
3. cis the train leaving?
4. ddoes the train leave?

Answer (d): A wh-question about a timetable uses the simple present with 'does': 'does the train leave?'.

Revise: Grammar and Usage (Class 11 notes)

1. awill
2. bam going to
3. cmay
4. dmust

Answer (a): A promise is made with 'will'.

Revise: Grammar and Usage (Class 11 notes)

1. aare you learning
2. bhave you been learning
3. cdo you learn
4. dyou learn

Answer (b): 'How long' with a period up to now needs the present perfect continuous: 'have you been learning'.

Revise: Grammar and Usage (Class 11 notes)

1. aopens
2. bis opened
3. chas to be opened
4. dbe opened

Answer (b): The school receives the action, so a passive is needed; 'is opened' fits the simple structure after 'hope'.

Revise: Grammar and Usage (Class 11 notes)

1. aremorse
2. bmerciful
3. cconnive
4. drecklessness

Answer (a): Compunction is a feeling of guilt or regret, which is remorse.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. arepair
2. bconsume
3. chumiliate
4. ddestroy

Answer (d): To demolish is to pull down completely, i.e. to destroy.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. arepair
2. bconsume
3. chumanitarian
4. ddestroy

Answer (c): Beneficent means doing good or charitable, closest to 'humanitarian'.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. amandatory
2. buntruthfulness
3. cveracity
4. dpotential

Answer (b): Mendacity means lying or dishonesty, i.e. untruthfulness.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aaccommodate
2. bcompose
3. carticulate
4. dsegregate

Answer (d): To integrate is to combine; the opposite is to separate, i.e. segregate.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aexcited
2. brestful
3. ccool
4. dserene

Answer (a): Calm means peaceful; the opposite is excited.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. arambling
2. bconcise
3. cdiffuse
4. dvoluble

Answer (b): Wordy means using too many words; the opposite is concise.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. acreates
2. bcreated
3. ccreate
4. dwill creates

Answer (a): A general truth uses the simple present with a singular subject 'it': 'creates'.

Revise: Grammar and Usage (Class 11 notes)

1. ahad
2. bdoing
3. cdid
4. dhave

Answer (d): General statement with a plural subject takes the simple present 'have'.

Revise: Grammar and Usage (Class 11 notes)

1. aleisure
2. bfree
3. clike
4. dswimming

Answer (d): A verbal noun (gerund) is a verb form in -ing used as a noun: 'swimming'.

Revise: Grammar and Usage (Class 11 notes)

1. ayou
2. bme
3. cwhy'
4. ddid

Answer (c): Among the options, 'why' is the question word (strictly an interrogative adverb).

Revise: Grammar and Usage (Class 11 notes)

1. acomplement
2. bdirect object
3. cadjunct
4. dIndirect object

Answer (d): 'To his sister' names the person who receives the book, so it is the indirect object.

Revise: Grammar and Usage (Class 11 notes)

1. areal
2. breadable
3. creliable
4. dReality

Answer (d): 'Reality' is a noun; the others are adjectives.

Revise: Grammar and Usage (Class 11 notes)

1. athe most spoken
2. bthe more spoken
3. cmuch spoken
4. dmost spoken

Answer (d): After 'the third', a superlative without a second article is needed: 'third most spoken'.

Revise: Grammar and Usage (Class 11 notes)

1. amany /any
2. bA lot of /any
3. cfew / no
4. donly a few/some

Answer (c): 'Barely any information' means people had little or no idea, so 'few / no' is the closest fit of the options even though 'few' is awkward.

Revise: Grammar and Usage (Class 11 notes)

1. asome
2. ball
3. cmany
4. dneither of

Answer (d): The singular verb 'speaks' and 'any' point to a negative: 'Neither of'.

Revise: Grammar and Usage (Class 11 notes)

1. ashould remove
2. bhave to remove
3. ccould have been removed
4. dmust have removed

Answer (c): The differences are removed by someone, so a passive is needed, and 'could have been removed' is the only passive.

Revise: Grammar and Usage (Class 11 notes)

1. awas introduced /wasn't accepted
2. bwas introduced /didn't accepted
3. cis introduced/won't accepted
4. dintroduced/hadn't been accepted

Answer (a): Both verbs need passive forms, and only option a is grammatical.

Revise: Grammar and Usage (Class 11 notes)

1. aEven if
2. bfurthermore
3. cdespite
4. don purpose that

Answer (c): 'Despite' shows contrast and is followed by a noun phrase: 'despite his high rank'.

Revise: Grammar and Usage (Class 11 notes)

1. aWould stop
2. bare going to stop
3. ccan stop
4. dstop

Answer (a): 'I wish you would + verb' expresses a wish for someone to change annoying behaviour.

Revise: Grammar and Usage (Class 11 notes)

1. aNeeded
2. bshould I need
3. cI have needed
4. dI should need

Answer (b): Inversion for a conditional: 'Should I need more help, I could call my neighbour'.

Revise: Grammar and Usage (Class 11 notes)

1. ahave to run
2. bshould have run
3. chad better run
4. dmight run

Answer (d): 'Or' introduces a possible result, so the modal of possibility 'might run' fits.

Revise: Grammar and Usage (Class 11 notes)

1. aWould rather drink
2. bdon't have to drink
3. cmustn't drink
4. dnot able to drink

Answer (c): Advice with a prohibition: 'mustn't drink'.

Revise: Grammar and Usage (Class 11 notes)

1. aget by
2. bturn up
3. cwear out
4. drun over

Answer (a): 'Get by' means to manage to live with limited money.

Revise: Grammar and Usage (Class 11 notes)

1. atuned out
2. blooked around
3. cpassed around
4. dfell back on

Answer (a): The intended phrasal verb is 'turned out', meaning proved to be ('tuned' is a typo in the scan).

Revise: Grammar and Usage (Class 11 notes)

1. aa natural number
2. ban integer
3. ca whole number
4. da real number

Answer (d): Rational numbers are a subset of real numbers; e.g. 1/2 is not a natural number, integer or whole number.

Revise: Algebra (Class 11 notes)

1. a$1$
2. b$\frac{4}{3}$
3. c$\frac{3}{5}$
4. d$\frac{2}{9}$

Answer (a): The modulus of $\frac{3-2i}{3+2i}$ is $\frac{\sqrt{13}}{\sqrt{13}}=1$, so $a^{2}+b^{2}=1$.

Revise: Algebra (Class 11 notes)

1. a$\emptyset$
2. b$U$
3. c$A\cup B$
4. dNone of these

Answer (b): $A\cap B=\emptyset$ since no number is both at least 8 and at most 4, so its complement is $U$.

Revise: Algebra (Class 11 notes)

1. a(2,4),(4,2)
2. b(2,2),(4,4)
3. c(4,2),(4,2)
4. dall of them

Answer (c): Ordered pairs are equal only if both coordinates match in order, which happens only in (4,2),(4,2).

Revise: Algebra (Class 11 notes)

1. a$|r|<1$
2. b$|r|>1$
3. c$|r|=1$
4. dall of them

Answer (a): An infinite geometric series has a finite sum only when $|r|<1$.

Revise: Algebra (Class 11 notes)

1. a$x\ne y$
2. b$x=y$
3. c$x+y=21$
4. deither (b) or (c)

Answer (d): ${}^{n}C_x={}^{n}C_y$ gives $x=y$ or $x+y=n=21$.

Revise: Algebra (Class 11 notes)

1. a$(A^{T})^{T}=A$
2. b$(A+B)^{T}=A^{T}+B^{T}$
3. c$(AB)^{T}=A^{T}B^{T}$
4. d$(AB)^{T}=B^{T}A^{T}$

Answer (c): The transpose of a product reverses the order: $(AB)^T=B^TA^T$, so option c is wrong.

Revise: Algebra (Class 11 notes)

1. a(a)
2. b(b)
3. c(c)
4. d(d)

Answer (b): Expanding (b) gives $a_2b_3c_1+a_3b_1c_2$, which is not zero in general; the others are standard determinant properties.

Revise: Algebra (Class 11 notes)

1. ax-axis
2. by-axis
3. cthe origin
4. dnone of these

Answer (b): All points with $x=0$ lie on the y-axis.

Revise: Analytic geometry (Class 11 notes)

1. a$0^{0}$
2. b$60^{0}$
3. c$90^{0}$
4. d$120^{0}$

Answer (c): $xy=0$ means the lines $x=0$ and $y=0$, which are the perpendicular axes.

Revise: Analytic geometry (Class 11 notes)

1. a$\log_{10}1=0$
2. b$\log_{10}0.1=-1$
3. c$\log_{10}10=1$
4. dall of them

Answer (d): $\log 1=0$, $\log 0.1=\log 10^{-1}=-1$ and $\log 10=1$ are all true.

Revise: Algebra (Class 11 notes)

1. a$R-{0}$
2. b$R$
3. c$(-2,1)$
4. d$(-1,1)$

Answer (a): The function is undefined at $x=0$ only.

Revise: Algebra (Class 11 notes)

1. a$\frac{1}{10x+7}$
2. b$\frac{1}{10x-7}$
3. c$\frac{x+7}{10}$
4. d$\frac{x-7}{10}$

Answer (c): Put $y=10x-7$, so $x=\frac{y+7}{10}$, hence $f^{-1}(x)=\frac{x+7}{10}$.

Revise: Algebra (Class 11 notes)

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

Answer (b): By AM-GM, $t+\frac{1}{t}\ge 2\sqrt{t\cdot\frac{1}{t}}=2$.

Revise: Algebra (Class 11 notes)

1. a$0$
2. b$1$
3. c$\frac{1}{2}$
4. d$-1$

Answer (b): Divide numerator and denominator by $\sqrt{x}$: $\frac{\sqrt{1+1/x}}{1+1/\sqrt{x}}\to 1$.

Revise: Calculus (Class 11 notes)

1. a$3$
2. b$6$
3. c$27$
4. d$0$

Answer (a): The denominator vanishes at $x=3$, so $f$ is not defined there.

Revise: Calculus (Class 11 notes)

1. a$\frac{x-1}{y-1}$
2. b$\frac{y-1}{1-x}$
3. c$\frac{1-x}{y-1}$
4. d$\frac{1+y}{1-x}$

Answer (c): Differentiate with respect to $y$: $\frac{dx}{dy}+1=x+y\frac{dx}{dy}$ gives $\frac{dx}{dy}(1-y)=x-1$, so $\frac{dx}{dy}=\frac{1-x}{y-1}$.

Revise: Calculus (Class 11 notes)

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

Answer (a): $\frac{dy}{dt}=2at$ and $\frac{dx}{dt}=2a$, so $\frac{dy}{dx}=t$.

Revise: Calculus (Class 11 notes)

1. a$50+\frac{5000}{x}$
2. b$25x^{2}+5000x$
3. c$50$
4. dnone of these

Answer (c): $MC=\frac{dC}{dx}=50$.

Revise: Calculus (Class 11 notes)

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

Answer (d): $\sin\theta\cos\theta=\frac{1}{2}\sin2\theta$, whose maximum is $\frac{1}{2}$.

Revise: Trigonometry (Class 11 notes)

1. aDecreasing
2. bIncreasing
3. cNeither decreasing nor increasing
4. dDoesn't exist

Answer (a): $f'(x)=-3<0$, so the function is decreasing.

Revise: Calculus (Class 11 notes)

1. a$\log x+c$
2. b$x\log x-x+c$
3. c$x\log x+x+c$
4. d$x\log x+c$

Answer (b): Integration by parts with $u=\log x$, $dv=dx$: $x\log x-\int 1,dx=x\log x-x+c$.

Revise: Calculus (Class 11 notes)

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

Answer (d): $2\int_0^2 x,dx=2\cdot\frac{x^2}{2}\Big|_0^2=4$.

Revise: Calculus (Class 11 notes)

1. a$8x+6x^{2}-6x^{3}$
2. b$\frac{8}{x}+6-3x$
3. c$8x+3x^{2}-x^{3}+150$
4. d$8x+3x^{2}-x^{3}-150$

Answer (c): Integrate $MC = 8+6x-3x^2$ to get $8x+3x^2-x^3 + k$. With fixed cost 150, $k=150$. The scan drops the constant 8 from the printed MC, which the options confirm.

Revise: Calculus (Class 11 notes)

1. a$4\pi$
2. b$4\pi^{2}$
3. c$16\pi^{2}$
4. d$16\pi$

Answer (d): Radius is $4$, so the area is $\pi r^2=16\pi$.

Revise: Analytic geometry (Class 11 notes)

1. amin(z) = 3x+5y subject to 4x+8y >= 80, 6x+4y >= 100
2. bmin(z) = 3x+5y subject to 4x+8y <= 80, 6x+4y <= 100
3. cmin(z) = 3x+5y subject to 4x+6y <= 80, 8x+4y <= 100
4. dmin(z) = 3x+5y subject to 4x+6y >= 80, 8x+4y >= 100

Answer (a): Cost is $3x+5y$; each vitamin row gives its requirement as a 'at least' constraint: $4x+8y\ge80$ and $6x+4y\ge100$.

Revise: Computational methods (Class 11 notes)

1. amean
2. bmedian
3. cmode
4. drange

Answer (d): Mean, median and mode measure central tendency; range measures dispersion.

Revise: Statistics and Probability (Class 11 notes)

1. a$\frac{12}{35}$
2. b$\frac{1}{35}$
3. c$\frac{23}{35}$
4. dnone of these

Answer (b): For independent events, $P=\frac{1}{7}\times\frac{1}{5}=\frac{1}{35}$.

Revise: Statistics and Probability (Class 11 notes)

1. ainfinite solution
2. bfinite solution
3. cno solution
4. dunique solution

Answer (c): The maximum of $\sin x+\cos x$ is $\sqrt2<2$, so there is no solution.

Revise: Trigonometry (Class 11 notes)

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

Answer (a): $\sin^{-1}x+\cos^{-1}x=\frac{\pi}{2}$ for $x\in[-1,1]$. Option a prints $\pi/x$, which is a misprint for $\pi/2$.

Revise: Trigonometry (Class 11 notes)

1. aConsistent & dependent
2. bConsistent & independent
3. cInconsistent & independent
4. dInconsistent & dependent

Answer (d): The coefficients are proportional ($\frac{2}{4}=\frac{3}{6}\ne\frac{5}{9}$), so the lines are parallel and have no solution: inconsistent.

Revise: Algebra (Class 11 notes)

1. a0
2. b1
3. c2
4. dnot define

Answer (c): The highest power of $x$ is $2$.

Revise: Algebra (Class 11 notes)

1. a$x^{2}+\sqrt{2}x+2=0$
2. b$x^{2}+2=0$
3. c$x^{2}-2=0$
4. dnone of these

Answer (c): Only $x^{2}-2=0$ has $x=\sqrt2$ as a root: $(\sqrt2)^2-2=0$.

Revise: Algebra (Class 11 notes)

1. acircle
2. bdegenerate circle
3. can empty set
4. da straight line

Answer (b): It holds only at $(0,0)$, a circle of radius zero, i.e. a degenerate (point) circle.

Revise: Analytic geometry (Class 11 notes)

1. a$3:8$
2. b$1:3$
3. c$4:7$
4. d$7:4$

Answer (c): $\frac{a}{d}=\frac{3}{4}\cdot\frac{6}{7}\cdot\frac{8}{9}=\frac{144}{252}=\frac{4}{7}$.

Revise: Algebra (Class 11 notes)

1. a$40\%$
2. b$28\frac{4}{7}%$
3. c$50\%$
4. dnone of these

Answer (a): Gain $=SP$ of 50 pens, so $CP$ of 175 pens $=SP$ of 125 pens, and gain $%=\frac{50}{125}\times100=40%$.

Revise: Algebra (Class 11 notes)

1. aRs. 8200
2. bRs. 5330
3. cRs. 6150
4. dRs. 4920

Answer (b): D's share of capital $=1-\frac{20+15+12}{60}=\frac{13}{60}$, so profit $=24600\times\frac{13}{60}=5330$.

Revise: Algebra (Class 11 notes)

1. aUSD 127.96
2. bUSD 172.96
3. cUSD 196.72
4. dUSD 172.62

Answer (a): $\frac{10000}{78.15}\approx127.96$.

Revise: Algebra (Class 11 notes)

1. a40%
2. b10.1%
3. c10.4%
4. dnone of these

Answer (c): $(1+0.025)^4-1=0.1038\approx10.4%$.

Revise: Algebra (Class 11 notes)

1. a$\frac{p}{i}{(1+i)^{n}-1}$
2. b$\frac{p}{i}(1+i){(1+i)^{n}-1}$
3. c$\frac{p}{i}\left{1-\frac{1}{(1+i)^{n}}\right}$
4. d$\frac{p(1+i)}{i}\left{1-\frac{1}{(1+i)^{n}}\right}$

Answer (c): For an ordinary (immediate) annuity $PV=\frac{p}{i}\left{1-\frac{1}{(1+i)^n}\right}$; option d (with the extra $1+i$) is the annuity due.

Revise: Algebra (Class 11 notes)

1. amechanical
2. btechnical
3. cacoustics
4. dsound waves

Answer (c): The branch of physics dealing with sound is acoustics.

1. adelta
2. bfishes
3. cboats
4. dbank

Answer (d): Every river has banks; deltas, fish and boats are not always present.

1. adandi
2. belephant polo
3. cbhale judhai
4. dkabaddi

Answer (b): The World Elephant Polo Championship is held at Tiger Tops in Chitwan, Nepal.

1. a+, x
2. b-, +
3. cdivision, +
4. d+, division

Answer (a): $9+6\times3=9+18=27$.

1. aIARYN
2. bARINY
3. cNAIRY
4. dRINAY

Answer (a): The first three letters are reversed (LIG to GIL) and the last two are reversed (HT to TH); so RAI becomes IAR and NY becomes YN.

1. aA and B
2. bC and A
3. cA and C
4. dA and D

Answer (a): Honest people are D, C and E, so A and B are the ones not honest.

1. aGoogle
2. bAltavista
3. cYahoo
4. dFirefox Mozilla

Answer (d): Firefox is a web browser, not a search engine.

Revise: Web Technology I (Class 11 notes)

1. aRecog screen
2. bPoint Screen
3. cTouch Screen
4. dAndroid Screen

Answer (c): A screen that senses touch is a touch screen.

Revise: Computer System (Class 11 notes)

1. aTB>MB>GB>KB
2. bMB>GB>TB>KB
3. cTB>GB>MB>KB
4. dGB>MB>KB>TB

Answer (c): Sizes go KB < MB < GB < TB, so the listed order TB>GB>MB>KB is the only correct ordering.

Revise: Computer System (Class 11 notes)

1. aWorld Wide Web
2. bWide World Web
3. cWeb Wide World
4. dWorld Web Wide

Answer (a): WWW stands for World Wide Web.

Revise: Web Technology I (Class 11 notes)

1. aSpam
2. bSpoof
3. cSniffer
4. dJmail

Answer (a): Unwanted bulk email is known as spam.

Revise: Information Security and Cyber Law (Class 11 notes)

1. aPowerPoint
2. bWord
3. cExcel
4. dInternet

Answer (a): PowerPoint is the presentation software.

Revise: Application Package (Class 11 notes)

1. aCharles Babbage
2. bBalise Pascal
3. cGarden Moore
4. dJohn Von Neumann

Answer (a): Charles Babbage designed the Analytical Engine and is called the father of the computer.

Revise: Computer System (Class 11 notes)

1. aRAM
2. bKeyboard
3. cPrinter
4. dMouse

Answer (a): RAM is a memory; the others are input or output devices.

Revise: Computer System (Class 11 notes)

1. aOperating System
2. bApplication Software
3. cOutput Device
4. dProcessing Device

Answer (b): MS-Word is a word processing application.

Revise: Computer Software and Operating System (Class 11 notes)

1. aSoft copy
2. bHard Copy
3. cPhoto Copy
4. dPaper

Answer (b): Output printed on paper is a hard copy.

Revise: Computer System (Class 11 notes)