TU FoHSS | notesharu model set

BCA Entrance Model Set 1 with Answers

100 questions, 2 hours. Correct option marked, with our explanation and the chapter to revise. Original questions written to the official pattern.

Take it as a timed test

Mathematics

Q1Sets

If $A={1,2,3,4}$ and $B={3,4,5}$, then $n(A\cup B)$ is

Answer (b): $A\cup B={1,2,3,4,5}$, which has 5 elements.

Revise: Algebra (Class 11 notes)

Q2Sets

In a class of students, $n(A)=20$, $n(B)=15$ and $n(A\cap B)=5$. Then $n(A\cup B)$ equals

Answer (b): $n(A\cup B)=20+15-5=30$.

Revise: Algebra (Class 11 notes)

Q3Functions

If $f(x)=2x+3$, then $f(f(1))$ is

Answer (d): $f(1)=5$ and $f(5)=2(5)+3=13$.

Revise: Algebra (Class 11 notes)

Q4Functions

If $f(x)=x^2-1$ and $g(x)=x+2$, then $(f\circ g)(1)$ is

Answer (a): $g(1)=3$, so $f(3)=9-1=8$.

Revise: Algebra (Class 11 notes)

Q5Indices

If $2^x=32$ and $3^y=81$, then $x+y$ is

Answer (c): $2^5=32$ gives $x=5$ and $3^4=81$ gives $y=4$, so $x+y=9$.

Revise: Algebra (Class 11 notes)

Q6Indices

The value of $8^{2/3}\times 9^{1/2}$ is

Answer (b): $8^{2/3}=(2^3)^{2/3}=4$ and $9^{1/2}=3$, so the product is 12.

Revise: Algebra (Class 11 notes)

Q7Logarithms

The value of $\log_2 64-\log_3 27$ is

Answer (b): $\log_2 64=6$ and $\log_3 27=3$, so the difference is 3.

Revise: Algebra (Class 11 notes)

Q8Logarithms

If $\log x+\log(x-3)=1$ (base 10), then $x$ is

Answer (b): $x(x-3)=10$ gives $x^2-3x-10=0$, so $x=5$ or $-2$. Log needs $x>3$, so $x=5$.

Revise: Algebra (Class 11 notes)

Q9Sequences and series

The 5th term of the arithmetic progression $3,7,11,\dots$ is

Answer (c): $a_5=a+4d=3+4(4)=19$.

Revise: Algebra (Class 11 notes)

Q10Sequences and series

The sum of the first 10 terms of the AP $2,5,8,\dots$ is

a150
b155
c145
d160

Answer (b): $S_{10}=\tfrac{10}{2}[2(2)+9(3)]=5(31)=155$.

Revise: Algebra (Class 11 notes)

Q11Sequences and series

The sum of the first 5 terms of the GP $2,6,18,\dots$ is

a486
b243
c242
d240

Answer (c): $S_5=\dfrac{2(3^5-1)}{3-1}=3^5-1=242$.

Revise: Algebra (Class 11 notes)

Q12Sequences and series

The sum to infinity of the series $8+4+2+1+\dots$ is

Answer (a): $S_\infty=\dfrac{a}{1-r}=\dfrac{8}{1-1/2}=16$.

Revise: Algebra (Class 11 notes)

Q13Matrices and determinants

The determinant of $\begin{pmatrix}2&3\1&4\end{pmatrix}$ is

Answer (b): $2\cdot4-3\cdot1=8-3=5$.

Revise: Algebra (Class 11 notes)

Q14Matrices and determinants

The matrix $\begin{pmatrix}k&4\1&2\end{pmatrix}$ is singular when $k$ equals

Answer (b): Singular means determinant 0: $2k-4=0$, so $k=2$.

Revise: Algebra (Class 11 notes)

Q15Permutations and combinations

The value of $^5P_2$ is

a20
b10
c25
d120

Answer (a): $^5P_2=5\times4=20$.

Revise: Algebra (Class 11 notes)

Q16Permutations and combinations

The value of $^8C_3$ is

a24
b56
c336
d28

Answer (b): $^8C_3=\dfrac{8\cdot7\cdot6}{3\cdot2\cdot1}=56$.

Revise: Algebra (Class 11 notes)

Q17Permutations and combinations

The number of distinct arrangements of the letters of the word BOOK is

Answer (c): Four letters with O repeated twice: $\dfrac{4!}{2!}=12$.

Revise: Algebra (Class 11 notes)

Q18Percentage

A price of Rs 800 is increased by 25% and the new price is then decreased by 20%. The final price is

aRs 800
bRs 900
cRs 1000
dRs 840

Answer (a): $800\times1.25=1000$, then $1000\times0.8=800$.

Q19HCF and LCM

The LCM of 12, 18 and 24 is

a72
b36
c144
d216

Answer (a): $12=2^2\cdot3$, $18=2\cdot3^2$, $24=2^3\cdot3$, so LCM $=2^3\cdot3^2=72$.

Q20Ratio and proportion

Rs 1200 is divided in the ratio 3:5. The larger share is

aRs 450
bRs 600
cRs 500
dRs 750

Answer (d): Total parts 8, so one part is Rs 150 and the larger share is $5\times150=750$.

Q21Time and work

A can finish a job in 12 days and B can finish it in 6 days. Working together they finish it in

a6 days
b8 days
c9 days
d4 days

Answer (d): Together in one day: $\tfrac1{12}+\tfrac16=\tfrac14$, so 4 days.

Q22Interest

The simple interest on Rs 5000 at 8% per annum for 3 years is

aRs 400
bRs 1600
cRs 1200
dRs 1500

Answer (c): $I=\dfrac{PTR}{100}=\dfrac{5000\times3\times8}{100}=1200$.

Q23Interest

The compound interest on Rs 10000 at 10% per annum for 2 years is

aRs 2000
bRs 2200
cRs 1100
dRs 2100

Answer (d): Amount $=10000(1.1)^2=12100$, so interest $=2100$.

Q24Profit and loss

An article bought for Rs 400 is sold for Rs 500. The profit percent is

a20%
b10%
c25%
d15%

Answer (c): Profit $=100$, so $\dfrac{100}{400}\times100=25%$.

Q25Averages

Four of five numbers are 8, 10, 12 and 14, and the average of all five is 12. The fifth number is

Answer (c): Total $=5\times12=60$; the four sum to 44, so the fifth is $60-44=16$.

Q26Area and volume

A rectangle has perimeter 36 cm and length 10 cm. Its area is

a80 cm$^2$
b72 cm$^2$
c64 cm$^2$
d90 cm$^2$

Answer (a): $l+w=18$ so $w=8$ and area $=10\times8=80$.

Q27Area and volume

The volume of a cylinder of radius 7 cm and height 10 cm (take $\pi=22/7$) is

a154 cm$^3$
b3080 cm$^3$
c1540 cm$^3$
d770 cm$^3$

Answer (c): $V=\pi r^2h=\tfrac{22}{7}\times49\times10=1540$.

Q28Area and volume

The total surface area of a cube is 150 cm$^2$. Its volume is

a125 cm$^3$
b25 cm$^3$
c150 cm$^3$
d216 cm$^3$

Answer (a): $6a^2=150$ gives $a=5$, so $V=5^3=125$.

Q29Limits

$\displaystyle\lim_{x\to2}\dfrac{x^2-4}{x-2}$ is

Answer (a): $\dfrac{x^2-4}{x-2}=x+2$ for $x\ne2$, which tends to 4.

Revise: Calculus (Class 11 notes)

Q30Limits

$\displaystyle\lim_{x\to0}\dfrac{\sin3x}{x}$ is

a1
b0
c3
d$\tfrac13$

Answer (c): $\dfrac{\sin3x}{x}=3\cdot\dfrac{\sin3x}{3x}\to3\cdot1=3$.

Revise: Calculus (Class 11 notes)

Q31Derivatives

The derivative of $x^3-2x^2+5$ with respect to $x$ is

a$3x^2-2x$
b$3x^2-4x$
c$x^2-4x$
d$3x^2-4x+5$

Answer (b): Differentiate term by term: $3x^2-4x+0$.

Revise: Calculus (Class 11 notes)

Q32Derivatives

The derivative of $e^{2x}$ is

a$e^{2x}$
b$2e^{2x}$
c$2xe^{2x}$
d$e^{x}$

Answer (b): By the chain rule, $\dfrac{d}{dx}e^{2x}=2e^{2x}$.

Revise: Calculus (Class 11 notes)

Q33Straight lines

The slope of the line joining $(1,2)$ and $(3,8)$ is

a2
b6
c3
d$\tfrac13$

Answer (c): $m=\dfrac{8-2}{3-1}=3$.

Revise: Analytic geometry (Class 11 notes)

Q34Straight lines

The equation of the line with slope 2 and passing through $(0,-3)$ is

a$y=2x+3$
b$y=-3x+2$
c$y=\tfrac{x}{2}-3$
d$y=2x-3$

Answer (d): Using $y=mx+c$ with $m=2$, $c=-3$.

Revise: Analytic geometry (Class 11 notes)

Q35Straight lines

The distance between $(1,2)$ and $(4,6)$ is

Answer (a): $\sqrt{3^2+4^2}=5$.

Revise: Analytic geometry (Class 11 notes)

Q36Straight lines

The line $4x+ky=5$ is parallel to $2x+3y=6$ when $k$ equals

Answer (c): Slopes: $-\tfrac{4}{k}=-\tfrac23$, so $k=6$.

Revise: Analytic geometry (Class 11 notes)

Q37Trigonometric ratios

The value of $\tan60^\circ\cdot\cot30^\circ$ is

a1
b$\sqrt3$
c3
d$\tfrac13$

Answer (c): $\tan60^\circ=\sqrt3$ and $\cot30^\circ=\sqrt3$, so the product is 3.

Revise: Trigonometry (Class 11 notes)

Q38Trigonometric ratios

If $\sin\theta=\tfrac35$ and $\theta$ is acute, then $\tan\theta$ is

a$\tfrac43$
b$\tfrac35$
c$\tfrac45$
d$\tfrac34$

Answer (d): $\cos\theta=\sqrt{1-9/25}=\tfrac45$, so $\tan\theta=\tfrac{3/5}{4/5}=\tfrac34$.

Revise: Trigonometry (Class 11 notes)

Q39Trigonometric identities

The value of $\sin75^\circ\cos15^\circ+\cos75^\circ\sin15^\circ$ is

a0
b1
c$\tfrac12$
d$\tfrac{\sqrt3}{2}$

Answer (b): This is $\sin(75^\circ+15^\circ)=\sin90^\circ=1$.

Revise: Trigonometry (Class 11 notes)

Q40Statistics

The median of 2, 4, 6, 8, 10, 12 is

Answer (b): With six values the median is the mean of the 3rd and 4th: $(6+8)/2=7$.

Revise: Statistics and Probability (Class 11 notes)

Q41Statistics

The standard deviation of the data 2, 4, 6, 8 is

a$\sqrt5$
b5
c$\sqrt{20}$
d2

Answer (a): Mean 5; squared deviations $9,1,1,9$ sum to 20; variance $=20/4=5$; SD $=\sqrt5$.

Revise: Statistics and Probability (Class 11 notes)

Q42Probability

A card is drawn from a well-shuffled pack of 52 cards. The probability that it is a king or a queen is

a$\tfrac1{13}$
b$\tfrac4{13}$
c$\tfrac1{26}$
d$\tfrac{2}{13}$

Answer (d): There are $4+4=8$ favourable cards: $\tfrac8{52}=\tfrac2{13}$.

Revise: Statistics and Probability (Class 11 notes)

Q43Probability

Two fair coins are tossed. The probability of getting exactly one head is

a$\tfrac14$
b$\tfrac34$
c$\tfrac12$
d$\tfrac13$

Answer (c): Outcomes HT and TH out of 4, so $\tfrac24=\tfrac12$.

Revise: Statistics and Probability (Class 11 notes)

Q44Number series

Find the next term: 2, 6, 12, 20, 30, ?

Answer (a): Differences are 4, 6, 8, 10, so the next is $30+12=42$.

Q45Coding-decoding

If CAT is coded as DBU, then DOG is coded as

aENH
bEPG
cDPH
dEPH

Answer (d): Each letter moves one place forward: D to E, O to P, G to H.

Q46Clocks

The angle between the hour hand and the minute hand at 3:30 is

a$90^\circ$
b$75^\circ$
c$60^\circ$
d$105^\circ$

Answer (b): Hour hand: $3\times30+15=105^\circ$; minute hand: $180^\circ$. Difference $=75^\circ$.

Q47Ranking

Ram ranks 7th from the top in a class of 30 students. His rank from the bottom is

a23rd
b22nd
c25th
d24th

Answer (d): Rank from bottom $=30-7+1=24$.

Q48Analogy

Doctor is to hospital as teacher is to

abook
bstudent
cpen
dschool

Answer (d): The relation is person to the place where he or she works.

Q49Vectors

If $\vec a=(2,3)$ and $\vec b=(1,-1)$, then $\vec a\cdot\vec b$ is

Answer (a): $\vec a\cdot\vec b=2(1)+3(-1)=-1$.

Revise: Vectors (Class 11 notes)

Q50Vectors

The vectors $\vec a=(1,2)$ and $\vec b=(3,k)$ are perpendicular when $k$ equals

a$\tfrac32$
b$-\tfrac23$
c$-\tfrac32$
d3

Answer (c): Perpendicular means $\vec a\cdot\vec b=0$: $3+2k=0$, so $k=-\tfrac32$.

Revise: Vectors (Class 11 notes)

English

Q51Synonyms

Choose the word closest in meaning to ABUNDANT.

ascarce
bplentiful
ctiny
dcostly

Answer (b): Abundant means existing in large quantity, which is plentiful.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q52Antonyms

Choose the word opposite in meaning to GENEROUS.

akind
bwealthy
cstingy
dnoble

Answer (c): Generous means giving freely; the opposite is stingy (unwilling to give).

Revise: Vocabulary and Word Formation (Class 11 notes)

Q53Synonyms

Choose the word closest in meaning to DILIGENT.

acareless
bclever
chardworking
dshy

Answer (c): A diligent person works with steady effort, so hardworking.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q54Antonyms

Choose the word opposite in meaning to ANCIENT.

aold
bhistoric
cclassic
dmodern

Answer (d): Ancient means very old; the antonym is modern.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q55One-word substitution

One-word substitute: a person who can speak two languages.

abilingual
bbilateral
cbicentric
dbigamist

Answer (a): Bi- means two and lingual relates to language: bilingual.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q56One-word substitution

One-word substitute: an extreme fear of closed spaces.

aclaustrophobia
bagoraphobia
chydrophobia
dacrophobia

Answer (a): Claustrophobia is fear of confined spaces; agoraphobia is fear of open places.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q57Phrasal verbs

Choose the correct phrasal verb: We had to ___ the picnic because of heavy rain.

aput off
bput on
cput up
dput out

Answer (a): Put off means postpone.

Revise: Grammar and Usage (Class 11 notes)

Q58Phrasal verbs

Choose the correct word: I ran ___ an old friend in the market yesterday.

aaway
bdown
coff
dinto

Answer (d): Ran into means met by chance.

Revise: Grammar and Usage (Class 11 notes)

Q59Idioms

The exam was easy for her. It was a piece of cake. The idiom 'a piece of cake' means

avery sweet
bvery costly
cvery rare
dvery easy

Answer (d): The idiom describes something that takes little effort.

Revise: Grammar and Usage (Class 11 notes)

Q60Idioms

What does the idiom 'to spill the beans' mean?

ato reveal a secret
bto waste food
cto cook quickly
dto make a mess

Answer (a): Spill the beans means to disclose secret information.

Revise: Grammar and Usage (Class 11 notes)

Q61Prepositions

Fill in the blank: She is very good ___ mathematics.

ain
bon
cwith
dat

Answer (d): The adjective good takes the preposition at for a skill.

Revise: Grammar and Usage (Class 11 notes)

Q62Prepositions

Fill in the blank: He has been living in Pokhara ___ 2015.

asince
bfor
cfrom
dby

Answer (a): Since is used with a point in time (2015); for is used with a period.

Revise: Grammar and Usage (Class 11 notes)

Q63Prepositions

Fill in the blank: We congratulated him ___ his success.

afor
bat
cwith
don

Answer (d): The verb congratulate takes the preposition on.

Revise: Grammar and Usage (Class 11 notes)

Q64Articles

Fill in the blank: ___ honest man is respected everywhere.

aA
bThe
cNo article
dAn

Answer (d): Honest begins with a vowel sound (silent h), so the article is an.

Revise: Grammar and Usage (Class 11 notes)

Q65Articles

Fill in the blank: She plays ___ violin very well.

aa
ban
cno article
dthe

Answer (d): The is used with musical instruments, as in the violin.

Revise: Grammar and Usage (Class 11 notes)

Q66Subject-verb agreement

Fill in the blank: Neither the teacher nor the students ___ present in the hall.

awas
bis
cwere
dhas been

Answer (c): With neither...nor the verb agrees with the nearer subject, students, so were.

Revise: Grammar and Usage (Class 11 notes)

Q67Subject-verb agreement

Fill in the blank: Each of the boys ___ a book.

ahas
bhave
care having
dwere

Answer (a): Each is singular, so it takes has.

Revise: Grammar and Usage (Class 11 notes)

Q68Relative pronouns

Fill in the blank: The girl ___ bag was stolen is crying.

awho
bwhose
cwhich
dwhom

Answer (b): Whose shows possession (her bag) and links the clause to the girl.

Revise: Grammar and Usage (Class 11 notes)

Q69Causatives

Fill in the blank: I had my hair ___ yesterday.

acutting
bcut
cto cut
dcuts

Answer (b): The causative have + object + past participle gives had my hair cut.

Revise: Grammar and Usage (Class 11 notes)

Q70Tenses

Fill in the blank: By the time we reached the hall, the film ___.

ahas started
bhad started
cstarts
dwas starting

Answer (b): An action completed before another past action takes the past perfect.

Revise: Grammar and Usage (Class 11 notes)

Q71Tenses

Fill in the blank: I ___ television when the phone rang.

awatched
bam watching
cwas watching
dhave watched

Answer (c): A longer past action interrupted by a shorter one uses the past continuous.

Revise: Grammar and Usage (Class 11 notes)

Q72Reported speech

Choose the correct reported speech: He said, 'I am tired.'

aHe said that he is tired.
bHe said that I was tired.
cHe said that he had tired.
dHe said that he was tired.

Answer (d): In reported speech the present tense shifts to past and the pronoun I becomes he.

Revise: Grammar and Usage (Class 11 notes)

Q73Reported speech

The teacher said, 'Close the door.' The reported form is

aThe teacher said that close the door.
bThe teacher ordered me to close the door.
cThe teacher asked that I closed the door.
dThe teacher ordered me closing the door.

Answer (b): An imperative is reported with an infinitive after ordered.

Revise: Grammar and Usage (Class 11 notes)

Q74Voice

Change into the active voice: The letter was written by Sita.

aSita has written the letter.
bSita wrote the letter.
cSita was writing the letter.
dThe letter wrote Sita.

Answer (b): The agent Sita becomes the subject and was written becomes wrote.

Revise: Grammar and Usage (Class 11 notes)

Q75Voice

Change into the passive voice: They are building a bridge.

aA bridge is being built by them.
bA bridge was built by them.
cA bridge is built by them.
dA bridge has been built by them.

Answer (a): Present continuous active becomes is/are being + past participle.

Revise: Grammar and Usage (Class 11 notes)

Q76Question tags

Choose the correct question tag: She can swim, ___?

aisn't she
bdoesn't she
ccan she
dcan't she

Answer (d): A positive statement takes a negative tag with the same auxiliary: can't she.

Revise: Grammar and Usage (Class 11 notes)

Q77Infinitives and gerunds

Fill in the blank: He enjoys ___ football with his friends.

aplaying
bto play
cplay
dplayed

Answer (a): Enjoy is followed by a gerund.

Revise: Grammar and Usage (Class 11 notes)

Q78Infinitives and gerunds

Fill in the blank: She decided ___ the job offer.

aaccepting
bto accept
caccept
daccepted

Answer (b): Decide is followed by an infinitive with to.

Revise: Grammar and Usage (Class 11 notes)

Q79Conditionals

Fill in the blank: If it rains tomorrow, we ___ at home.

awould stay
bstayed
cwill stay
dwould have stayed

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

Revise: Grammar and Usage (Class 11 notes)

Q80Conditionals

Fill in the blank: If I were a bird, I ___ fly across the mountains.

awill
bcan
cwould
dhad

Answer (c): Second conditional: if + past, would + base verb.

Revise: Grammar and Usage (Class 11 notes)

Q81Conditionals

Fill in the blank: If she had studied harder, she ___ the exam.

awould pass
bwould have passed
cwill pass
dhad passed

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

Revise: Grammar and Usage (Class 11 notes)

Q82Conjunctions

Fill in the blank: ___ he was ill, he attended the class.

aBecause
bUnless
cAlthough
dSo

Answer (c): The clause shows contrast, so the conjunction although fits.

Revise: Grammar and Usage (Class 11 notes)

Q83Synonyms

Choose the word closest in meaning to BRIEF.

ashort
blengthy
cvague
dloud

Answer (a): Brief means lasting a short time.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q84Tenses

Fill in the blank: She ___ in this town since 2010.

alived
bhas lived
cis living
dhad lived

Answer (b): Since with a starting point and a link to now takes the present perfect.

Revise: Grammar and Usage (Class 11 notes)

Q85Antonyms

Choose the word opposite in meaning to VICTORY.

atriumph
bsuccess
cconquest
ddefeat

Answer (d): Victory means winning; the antonym is defeat.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q86Prepositions

Fill in the blank: The teacher divided the class ___ four groups.

ain
bby
camong
dinto

Answer (d): Divided into is used when a whole is split into parts.

Revise: Grammar and Usage (Class 11 notes)

Q87Reading comprehension

Read the passage: 'Terrace farming is common in the hills of Nepal. Farmers cut steps into the slopes so that rain does not wash the soil away. The flat steps also hold water, which is needed for growing rice.' Why do farmers cut steps into the slopes?

aTo stop rain from washing the soil away
bTo make walking easier
cTo keep animals out
dTo grow tall trees

Answer (a): The passage says the steps stop rain from washing the soil away.

Revise: Reading Comprehension (Class 11 notes)

Q88Reading comprehension

aWheat
bMaize
cTea
dRice

Answer (d): The last sentence mentions water needed for growing rice.

Revise: Reading Comprehension (Class 11 notes)

Q89Reading comprehension

athe hills of Nepal
bthe Terai plains
cthe Himalayan peaks
dbig cities

Answer (a): The first sentence places it in the hills of Nepal.

Revise: Reading Comprehension (Class 11 notes)

Q90Reading comprehension

aThey give shade
bThey prevent snowfall
cThey attract birds
dThey hold water

Answer (d): The passage says the flat steps also hold water.

Revise: Reading Comprehension (Class 11 notes)

General Knowledge and IT

Q91Nepal GK

Sagarmatha National Park was listed as a UNESCO World Heritage Site in

a1984
b1990
c1979
d1965

Answer (c): The park was inscribed in 1979.

Q92World GK

The capital city of Australia is

aSydney
bMelbourne
cCanberra
dPerth

Answer (c): Canberra, not Sydney, is the capital of Australia.

Q93Nepal GK

Lumbini, in Nepal, is the birthplace of

aGautama Buddha
bLord Rama
cMahavira
dGuru Nanak

Answer (a): Lumbini is the recognised birthplace of Siddhartha Gautama, the Buddha.

Q94World GK

The largest ocean on Earth is the

aPacific Ocean
bAtlantic Ocean
cIndian Ocean
dArctic Ocean

Answer (a): The Pacific covers more area than any other ocean.

Q95Nepal GK

Nepal was declared a federal democratic republic in

a2006
b2008
c2015
d1990

Answer (b): The first Constituent Assembly abolished the monarchy and declared a republic in 2008.

Q96Hardware and I/O devices

Which of the following is an input device?

aMonitor
bPrinter
cScanner
dSpeaker

Answer (c): A scanner sends data into the computer; the others output it.

Revise: Computer System (Class 11 notes)

Q97HTML and full forms

HTML stands for

aHigh Text Machine Language
bHyperTool Making Language
cHome Text Markup Level
dHyperText Markup Language

Answer (d): HTML is the HyperText Markup Language used to structure web pages.

Revise: Web Technology I (Class 11 notes)

Q98Software

Which of the following is system software?

aMS Word
bPhotoshop
cOperating system
dMS Excel

Answer (c): An operating system manages hardware; the others are application software.

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

Q99Internet and email

In an email address such as [email protected], the symbol that separates the user name from the domain is

Answer (d): The @ sign separates the mailbox name from the domain name.

Revise: Concept of Network and Data Communication (Class 12 notes)

Q100Programming basics

A finite set of step-by-step instructions to solve a problem is called a(n)

acompiler
balgorithm
cprotocol
ddatabase

Answer (b): That is the definition of an algorithm.

Revise: Programming Concepts and Logic (Class 11 notes)

Timed test Model set 2 →

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By subject

Mathematics

Q1Sets

A=\{1,2,3,4\}

and

B=\{3,4,5\}

, then

n(A\cup B)

isIf $A={1,2,3,4}$ and $B={3,4,5}$, then $n(A\cup B)$ is

Answer (b): $A\cup B=\{1,2,3,4,5\}$ , which has 5 elements.$A\cup B={1,2,3,4,5}$, which has 5 elements.

Revise: Algebra (Class 11 notes)

Q2Sets

In a class of students,

n(A)=20

n(B)=15

and

n(A\cap B)=5

. Then

n(A\cup B)

equalsIn a class of students, $n(A)=20$, $n(B)=15$ and $n(A\cap B)=5$. Then $n(A\cup B)$ equals

Answer (b): $n(A\cup B)=20+15-5=30$ .$n(A\cup B)=20+15-5=30$.

Revise: Algebra (Class 11 notes)

Q3Functions

f(x)=2x+3

, then

f(f(1))

isIf $f(x)=2x+3$, then $f(f(1))$ is

Answer (d): $f(1)=5$ and $f(5)=2(5)+3=13$ .$f(1)=5$ and $f(5)=2(5)+3=13$.

Revise: Algebra (Class 11 notes)

Q4Functions

f(x)=x^2-1

and

g(x)=x+2

, then

(f\circ g)(1)

isIf $f(x)=x^2-1$ and $g(x)=x+2$, then $(f\circ g)(1)$ is

Answer (a): $g(1)=3$ , so $f(3)=9-1=8$ .$g(1)=3$, so $f(3)=9-1=8$.

Revise: Algebra (Class 11 notes)

Q5Indices

2^x=32

and

3^y=81

, then

x+y

isIf $2^x=32$ and $3^y=81$, then $x+y$ is

Answer (c): $2^5=32$ gives $x=5$ and $3^4=81$ gives $y=4$ , so $x+y=9$ .$2^5=32$ gives $x=5$ and $3^4=81$ gives $y=4$, so $x+y=9$.

Revise: Algebra (Class 11 notes)

Q6Indices

The value of

8^{2/3}\times 9^{1/2}

isThe value of $8^{2/3}\times 9^{1/2}$ is

Answer (b): $8^{2/3}=(2^3)^{2/3}=4$ and $9^{1/2}=3$ , so the product is 12.$8^{2/3}=(2^3)^{2/3}=4$ and $9^{1/2}=3$, so the product is 12.

Revise: Algebra (Class 11 notes)

Q7Logarithms

The value of

\log_2 64-\log_3 27

isThe value of $\log_2 64-\log_3 27$ is

Answer (b): $\log_2 64=6$ and $\log_3 27=3$ , so the difference is 3.$\log_2 64=6$ and $\log_3 27=3$, so the difference is 3.

Revise: Algebra (Class 11 notes)

Q8Logarithms

\log x+\log(x-3)=1

(base 10), then

x

isIf $\log x+\log(x-3)=1$ (base 10), then $x$ is

Answer (b): $x(x-3)=10$ gives $x^2-3x-10=0$ , so $x=5$ or $-2$ . Log needs $x>3$ , so $x=5$ .$x(x-3)=10$ gives $x^2-3x-10=0$, so $x=5$ or $-2$. Log needs $x>3$, so $x=5$.

Revise: Algebra (Class 11 notes)

Q9Sequences and series

The 5th term of the arithmetic progression

3,7,11,\dots

isThe 5th term of the arithmetic progression $3,7,11,\dots$ is

Answer (c): $a_5=a+4d=3+4(4)=19$ .$a_5=a+4d=3+4(4)=19$.

Revise: Algebra (Class 11 notes)

Q10Sequences and series

The sum of the first 10 terms of the AP

2,5,8,\dots

isThe sum of the first 10 terms of the AP $2,5,8,\dots$ is

a150
b155
c145
d160

Answer (b): $S_{10}=\tfrac{10}{2}[2(2)+9(3)]=5(31)=155$ .$S_{10}=\tfrac{10}{2}[2(2)+9(3)]=5(31)=155$.

Revise: Algebra (Class 11 notes)

Q11Sequences and series

The sum of the first 5 terms of the GP

2,6,18,\dots

isThe sum of the first 5 terms of the GP $2,6,18,\dots$ is

a486
b243
c242
d240

Answer (c): $S_5=\dfrac{2(3^5-1)}{3-1}=3^5-1=242$ .$S_5=\dfrac{2(3^5-1)}{3-1}=3^5-1=242$.

Revise: Algebra (Class 11 notes)

Q12Sequences and series

The sum to infinity of the series

8+4+2+1+\dots

isThe sum to infinity of the series $8+4+2+1+\dots$ is

Answer (a): $S_\infty=\dfrac{a}{1-r}=\dfrac{8}{1-1/2}=16$ .$S_\infty=\dfrac{a}{1-r}=\dfrac{8}{1-1/2}=16$.

Revise: Algebra (Class 11 notes)

Q13Matrices and determinants

The determinant of

\begin{pmatrix}2&3\\1&4\end{pmatrix}

isThe determinant of $\begin{pmatrix}2&3\1&4\end{pmatrix}$ is

Answer (b): $2\cdot4-3\cdot1=8-3=5$ .$2\cdot4-3\cdot1=8-3=5$.

Revise: Algebra (Class 11 notes)

Q14Matrices and determinants

The matrix

\begin{pmatrix}k&4\\1&2\end{pmatrix}

is singular when

k

equalsThe matrix $\begin{pmatrix}k&4\1&2\end{pmatrix}$ is singular when $k$ equals

Answer (b): Singular means determinant 0: $2k-4=0$ , so $k=2$ .Singular means determinant 0: $2k-4=0$, so $k=2$.

Revise: Algebra (Class 11 notes)

Q15Permutations and combinations

The value of

^5P_2

isThe value of $^5P_2$ is

a20
b10
c25
d120

Answer (a): $^5P_2=5\times4=20$ .$^5P_2=5\times4=20$.

Revise: Algebra (Class 11 notes)

Q16Permutations and combinations

The value of

^8C_3

isThe value of $^8C_3$ is

a24
b56
c336
d28

Answer (b): $^8C_3=\dfrac{8\cdot7\cdot6}{3\cdot2\cdot1}=56$ .$^8C_3=\dfrac{8\cdot7\cdot6}{3\cdot2\cdot1}=56$.

Revise: Algebra (Class 11 notes)

Q17Permutations and combinations

The number of distinct arrangements of the letters of the word BOOK is

Answer (c): Four letters with O repeated twice: $\dfrac{4!}{2!}=12$ .Four letters with O repeated twice: $\dfrac{4!}{2!}=12$.

Revise: Algebra (Class 11 notes)

Q18Percentage

A price of Rs 800 is increased by 25% and the new price is then decreased by 20%. The final price is

aRs 800
bRs 900
cRs 1000
dRs 840

Answer (a): $800\times1.25=1000$ , then $1000\times0.8=800$ .$800\times1.25=1000$, then $1000\times0.8=800$.

Q19HCF and LCM

The LCM of 12, 18 and 24 is

a72
b36
c144
d216

Answer (a): $12=2^2\cdot3$ , $18=2\cdot3^2$ , $24=2^3\cdot3$ , so LCM $=2^3\cdot3^2=72$ .$12=2^2\cdot3$, $18=2\cdot3^2$, $24=2^3\cdot3$, so LCM $=2^3\cdot3^2=72$.

Q20Ratio and proportion

Rs 1200 is divided in the ratio 3:5. The larger share is

aRs 450
bRs 600
cRs 500
dRs 750

Answer (d): Total parts 8, so one part is Rs 150 and the larger share is $5\times150=750$ .Total parts 8, so one part is Rs 150 and the larger share is $5\times150=750$.

Q21Time and work

A can finish a job in 12 days and B can finish it in 6 days. Working together they finish it in

a6 days
b8 days
c9 days
d4 days

Answer (d): Together in one day: $\tfrac1{12}+\tfrac16=\tfrac14$ , so 4 days.Together in one day: $\tfrac1{12}+\tfrac16=\tfrac14$, so 4 days.

Q22Interest

The simple interest on Rs 5000 at 8% per annum for 3 years is

aRs 400
bRs 1600
cRs 1200
dRs 1500

Answer (c): $I=\dfrac{PTR}{100}=\dfrac{5000\times3\times8}{100}=1200$ .$I=\dfrac{PTR}{100}=\dfrac{5000\times3\times8}{100}=1200$.

Q23Interest

The compound interest on Rs 10000 at 10% per annum for 2 years is

aRs 2000
bRs 2200
cRs 1100
dRs 2100

Answer (d): Amount $=10000(1.1)^2=12100$ , so interest $=2100$ .Amount $=10000(1.1)^2=12100$, so interest $=2100$.

Q24Profit and loss

An article bought for Rs 400 is sold for Rs 500. The profit percent is

a20%
b10%
c25%
d15%

Answer (c): Profit $=100$ , so $\dfrac{100}{400}\times100=25\%$ .Profit $=100$, so $\dfrac{100}{400}\times100=25%$.

Q25Averages

Four of five numbers are 8, 10, 12 and 14, and the average of all five is 12. The fifth number is

Answer (c): Total $=5\times12=60$ ; the four sum to 44, so the fifth is $60-44=16$ .Total $=5\times12=60$; the four sum to 44, so the fifth is $60-44=16$.

Q26Area and volume

A rectangle has perimeter 36 cm and length 10 cm. Its area is

a80 cm $^2$ 80 cm$^2$
b72 cm $^2$ 72 cm$^2$
c64 cm $^2$ 64 cm$^2$
d90 cm $^2$ 90 cm$^2$

Answer (a): $l+w=18$ so $w=8$ and area $=10\times8=80$ .$l+w=18$ so $w=8$ and area $=10\times8=80$.

Q27Area and volume

The volume of a cylinder of radius 7 cm and height 10 cm (take

\pi=22/7

) isThe volume of a cylinder of radius 7 cm and height 10 cm (take $\pi=22/7$) is

a154 cm $^3$ 154 cm$^3$
b3080 cm $^3$ 3080 cm$^3$
c1540 cm $^3$ 1540 cm$^3$
d770 cm $^3$ 770 cm$^3$

Answer (c): $V=\pi r^2h=\tfrac{22}{7}\times49\times10=1540$ .$V=\pi r^2h=\tfrac{22}{7}\times49\times10=1540$.

Q28Area and volume

The total surface area of a cube is 150 cm

^2

. Its volume isThe total surface area of a cube is 150 cm$^2$. Its volume is

a125 cm $^3$ 125 cm$^3$
b25 cm $^3$ 25 cm$^3$
c150 cm $^3$ 150 cm$^3$
d216 cm $^3$ 216 cm$^3$

Answer (a): $6a^2=150$ gives $a=5$ , so $V=5^3=125$ .$6a^2=150$ gives $a=5$, so $V=5^3=125$.

Q29Limits

\displaystyle\lim_{x\to2}\dfrac{x^2-4}{x-2}

is$\displaystyle\lim_{x\to2}\dfrac{x^2-4}{x-2}$ is

Answer (a): $\dfrac{x^2-4}{x-2}=x+2$ for $x\ne2$ , which tends to 4.$\dfrac{x^2-4}{x-2}=x+2$ for $x\ne2$, which tends to 4.

Revise: Calculus (Class 11 notes)

Q30Limits

\displaystyle\lim_{x\to0}\dfrac{\sin3x}{x}

is$\displaystyle\lim_{x\to0}\dfrac{\sin3x}{x}$ is

a1
b0
c3
d $\tfrac13$ $\tfrac13$

Answer (c): $\dfrac{\sin3x}{x}=3\cdot\dfrac{\sin3x}{3x}\to3\cdot1=3$ .$\dfrac{\sin3x}{x}=3\cdot\dfrac{\sin3x}{3x}\to3\cdot1=3$.

Revise: Calculus (Class 11 notes)

Q31Derivatives

The derivative of

x^3-2x^2+5

with respect to

x

isThe derivative of $x^3-2x^2+5$ with respect to $x$ is

a $3x^2-2x$ $3x^2-2x$
b $3x^2-4x$ $3x^2-4x$
c $x^2-4x$ $x^2-4x$
d $3x^2-4x+5$ $3x^2-4x+5$

Answer (b): Differentiate term by term: $3x^2-4x+0$ .Differentiate term by term: $3x^2-4x+0$.

Revise: Calculus (Class 11 notes)

Q32Derivatives

The derivative of

e^{2x}

isThe derivative of $e^{2x}$ is

a $e^{2x}$ $e^{2x}$
b $2e^{2x}$ $2e^{2x}$
c $2xe^{2x}$ $2xe^{2x}$
d $e^{x}$ $e^{x}$

Answer (b): By the chain rule, $\dfrac{d}{dx}e^{2x}=2e^{2x}$ .By the chain rule, $\dfrac{d}{dx}e^{2x}=2e^{2x}$.

Revise: Calculus (Class 11 notes)

Q33Straight lines

The slope of the line joining

(1,2)

and

(3,8)

isThe slope of the line joining $(1,2)$ and $(3,8)$ is

a2
b6
c3
d $\tfrac13$ $\tfrac13$

Answer (c): $m=\dfrac{8-2}{3-1}=3$ .$m=\dfrac{8-2}{3-1}=3$.

Revise: Analytic geometry (Class 11 notes)

Q34Straight lines

The equation of the line with slope 2 and passing through

(0,-3)

isThe equation of the line with slope 2 and passing through $(0,-3)$ is

a $y=2x+3$ $y=2x+3$
b $y=-3x+2$ $y=-3x+2$
c $y=\tfrac{x}{2}-3$ $y=\tfrac{x}{2}-3$
d $y=2x-3$ $y=2x-3$

Answer (d): Using $y=mx+c$ with $m=2$ , $c=-3$ .Using $y=mx+c$ with $m=2$, $c=-3$.

Revise: Analytic geometry (Class 11 notes)

Q35Straight lines

The distance between

(1,2)

and

(4,6)

isThe distance between $(1,2)$ and $(4,6)$ is

Answer (a): $\sqrt{3^2+4^2}=5$ .$\sqrt{3^2+4^2}=5$.

Revise: Analytic geometry (Class 11 notes)

Q36Straight lines

The line

4x+ky=5

is parallel to

2x+3y=6

when

k

equalsThe line $4x+ky=5$ is parallel to $2x+3y=6$ when $k$ equals

Answer (c): Slopes: $-\tfrac{4}{k}=-\tfrac23$ , so $k=6$ .Slopes: $-\tfrac{4}{k}=-\tfrac23$, so $k=6$.

Revise: Analytic geometry (Class 11 notes)

Q37Trigonometric ratios

The value of

\tan60^\circ\cdot\cot30^\circ

isThe value of $\tan60^\circ\cdot\cot30^\circ$ is

a1
b $\sqrt3$ $\sqrt3$
c3
d $\tfrac13$ $\tfrac13$

Answer (c): $\tan60^\circ=\sqrt3$ and $\cot30^\circ=\sqrt3$ , so the product is 3.$\tan60^\circ=\sqrt3$ and $\cot30^\circ=\sqrt3$, so the product is 3.

Revise: Trigonometry (Class 11 notes)

Q38Trigonometric ratios

\sin\theta=\tfrac35

and

\theta

is acute, then

\tan\theta

isIf $\sin\theta=\tfrac35$ and $\theta$ is acute, then $\tan\theta$ is

a $\tfrac43$ $\tfrac43$
b $\tfrac35$ $\tfrac35$
c $\tfrac45$ $\tfrac45$
d $\tfrac34$ $\tfrac34$

Answer (d): $\cos\theta=\sqrt{1-9/25}=\tfrac45$ , so $\tan\theta=\tfrac{3/5}{4/5}=\tfrac34$ .$\cos\theta=\sqrt{1-9/25}=\tfrac45$, so $\tan\theta=\tfrac{3/5}{4/5}=\tfrac34$.

Revise: Trigonometry (Class 11 notes)

Q39Trigonometric identities

The value of

\sin75^\circ\cos15^\circ+\cos75^\circ\sin15^\circ

isThe value of $\sin75^\circ\cos15^\circ+\cos75^\circ\sin15^\circ$ is

a0
b1
c $\tfrac12$ $\tfrac12$
d $\tfrac{\sqrt3}{2}$ $\tfrac{\sqrt3}{2}$

Answer (b): This is $\sin(75^\circ+15^\circ)=\sin90^\circ=1$ .This is $\sin(75^\circ+15^\circ)=\sin90^\circ=1$.

Revise: Trigonometry (Class 11 notes)

Q40Statistics

The median of 2, 4, 6, 8, 10, 12 is

Answer (b): With six values the median is the mean of the 3rd and 4th: $(6+8)/2=7$ .With six values the median is the mean of the 3rd and 4th: $(6+8)/2=7$.

Revise: Statistics and Probability (Class 11 notes)

Q41Statistics

The standard deviation of the data 2, 4, 6, 8 is

a $\sqrt5$ $\sqrt5$
b5
c $\sqrt{20}$ $\sqrt{20}$
d2

Answer (a): Mean 5; squared deviations $9,1,1,9$ sum to 20; variance $=20/4=5$ ; SD $=\sqrt5$ .Mean 5; squared deviations $9,1,1,9$ sum to 20; variance $=20/4=5$; SD $=\sqrt5$.

Revise: Statistics and Probability (Class 11 notes)

Q42Probability

A card is drawn from a well-shuffled pack of 52 cards. The probability that it is a king or a queen is

a $\tfrac1{13}$ $\tfrac1{13}$
b $\tfrac4{13}$ $\tfrac4{13}$
c $\tfrac1{26}$ $\tfrac1{26}$
d $\tfrac{2}{13}$ $\tfrac{2}{13}$

Answer (d): There are $4+4=8$ favourable cards: $\tfrac8{52}=\tfrac2{13}$ .There are $4+4=8$ favourable cards: $\tfrac8{52}=\tfrac2{13}$.

Revise: Statistics and Probability (Class 11 notes)

Q43Probability

Two fair coins are tossed. The probability of getting exactly one head is

a $\tfrac14$ $\tfrac14$
b $\tfrac34$ $\tfrac34$
c $\tfrac12$ $\tfrac12$
d $\tfrac13$ $\tfrac13$

Answer (c): Outcomes HT and TH out of 4, so $\tfrac24=\tfrac12$ .Outcomes HT and TH out of 4, so $\tfrac24=\tfrac12$.

Revise: Statistics and Probability (Class 11 notes)

Q44Number series

Find the next term: 2, 6, 12, 20, 30, ?

Answer (a): Differences are 4, 6, 8, 10, so the next is $30+12=42$ .Differences are 4, 6, 8, 10, so the next is $30+12=42$.

Q45Coding-decoding

If CAT is coded as DBU, then DOG is coded as

aENH
bEPG
cDPH
dEPH

Answer (d): Each letter moves one place forward: D to E, O to P, G to H.

Q46Clocks

The angle between the hour hand and the minute hand at 3:30 is

a $90^\circ$ $90^\circ$
b $75^\circ$ $75^\circ$
c $60^\circ$ $60^\circ$
d $105^\circ$ $105^\circ$

Answer (b): Hour hand: $3\times30+15=105^\circ$ ; minute hand: $180^\circ$ . Difference $=75^\circ$ .Hour hand: $3\times30+15=105^\circ$; minute hand: $180^\circ$. Difference $=75^\circ$.

Q47Ranking

Ram ranks 7th from the top in a class of 30 students. His rank from the bottom is

a23rd
b22nd
c25th
d24th

Answer (d): Rank from bottom $=30-7+1=24$ .Rank from bottom $=30-7+1=24$.

Q48Analogy

Doctor is to hospital as teacher is to

abook
bstudent
cpen
dschool

Answer (d): The relation is person to the place where he or she works.

Q49Vectors

\vec a=(2,3)

and

\vec b=(1,-1)

, then

\vec a\cdot\vec b

isIf $\vec a=(2,3)$ and $\vec b=(1,-1)$, then $\vec a\cdot\vec b$ is

Answer (a): $\vec a\cdot\vec b=2(1)+3(-1)=-1$ .$\vec a\cdot\vec b=2(1)+3(-1)=-1$.

Revise: Vectors (Class 11 notes)

Q50Vectors

The vectors

\vec a=(1,2)

and

\vec b=(3,k)

are perpendicular when

k

equalsThe vectors $\vec a=(1,2)$ and $\vec b=(3,k)$ are perpendicular when $k$ equals

a $\tfrac32$ $\tfrac32$
b $-\tfrac23$ $-\tfrac23$
c $-\tfrac32$ $-\tfrac32$
d3

Answer (c): Perpendicular means $\vec a\cdot\vec b=0$ : $3+2k=0$ , so $k=-\tfrac32$ .Perpendicular means $\vec a\cdot\vec b=0$: $3+2k=0$, so $k=-\tfrac32$.

Revise: Vectors (Class 11 notes)

English

Q51Synonyms

Choose the word closest in meaning to ABUNDANT.

ascarce
bplentiful
ctiny
dcostly

Answer (b): Abundant means existing in large quantity, which is plentiful.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q52Antonyms

Choose the word opposite in meaning to GENEROUS.

akind
bwealthy
cstingy
dnoble

Answer (c): Generous means giving freely; the opposite is stingy (unwilling to give).

Revise: Vocabulary and Word Formation (Class 11 notes)

Q53Synonyms

Choose the word closest in meaning to DILIGENT.

acareless
bclever
chardworking
dshy

Answer (c): A diligent person works with steady effort, so hardworking.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q54Antonyms

Choose the word opposite in meaning to ANCIENT.

aold
bhistoric
cclassic
dmodern

Answer (d): Ancient means very old; the antonym is modern.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q55One-word substitution

One-word substitute: a person who can speak two languages.

abilingual
bbilateral
cbicentric
dbigamist

Answer (a): Bi- means two and lingual relates to language: bilingual.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q56One-word substitution

One-word substitute: an extreme fear of closed spaces.

aclaustrophobia
bagoraphobia
chydrophobia
dacrophobia

Answer (a): Claustrophobia is fear of confined spaces; agoraphobia is fear of open places.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q57Phrasal verbs

Choose the correct phrasal verb: We had to ___ the picnic because of heavy rain.

aput off
bput on
cput up
dput out

Answer (a): Put off means postpone.

Revise: Grammar and Usage (Class 11 notes)

Q58Phrasal verbs

Choose the correct word: I ran ___ an old friend in the market yesterday.

aaway
bdown
coff
dinto

Answer (d): Ran into means met by chance.

Revise: Grammar and Usage (Class 11 notes)

Q59Idioms

The exam was easy for her. It was a piece of cake. The idiom 'a piece of cake' means

avery sweet
bvery costly
cvery rare
dvery easy

Answer (d): The idiom describes something that takes little effort.

Revise: Grammar and Usage (Class 11 notes)

Q60Idioms

What does the idiom 'to spill the beans' mean?

ato reveal a secret
bto waste food
cto cook quickly
dto make a mess

Answer (a): Spill the beans means to disclose secret information.

Revise: Grammar and Usage (Class 11 notes)

Q61Prepositions

Fill in the blank: She is very good ___ mathematics.

ain
bon
cwith
dat

Answer (d): The adjective good takes the preposition at for a skill.

Revise: Grammar and Usage (Class 11 notes)

Q62Prepositions

Fill in the blank: He has been living in Pokhara ___ 2015.

asince
bfor
cfrom
dby

Answer (a): Since is used with a point in time (2015); for is used with a period.

Revise: Grammar and Usage (Class 11 notes)

Q63Prepositions

Fill in the blank: We congratulated him ___ his success.

afor
bat
cwith
don

Answer (d): The verb congratulate takes the preposition on.

Revise: Grammar and Usage (Class 11 notes)

Q64Articles

Fill in the blank: ___ honest man is respected everywhere.

aA
bThe
cNo article
dAn

Answer (d): Honest begins with a vowel sound (silent h), so the article is an.

Revise: Grammar and Usage (Class 11 notes)

Q65Articles

Fill in the blank: She plays ___ violin very well.

aa
ban
cno article
dthe

Answer (d): The is used with musical instruments, as in the violin.

Revise: Grammar and Usage (Class 11 notes)

Q66Subject-verb agreement

Fill in the blank: Neither the teacher nor the students ___ present in the hall.

awas
bis
cwere
dhas been

Answer (c): With neither...nor the verb agrees with the nearer subject, students, so were.

Revise: Grammar and Usage (Class 11 notes)

Q67Subject-verb agreement

Fill in the blank: Each of the boys ___ a book.

ahas
bhave
care having
dwere

Answer (a): Each is singular, so it takes has.

Revise: Grammar and Usage (Class 11 notes)

Q68Relative pronouns

Fill in the blank: The girl ___ bag was stolen is crying.

awho
bwhose
cwhich
dwhom

Answer (b): Whose shows possession (her bag) and links the clause to the girl.

Revise: Grammar and Usage (Class 11 notes)

Q69Causatives

Fill in the blank: I had my hair ___ yesterday.

acutting
bcut
cto cut
dcuts

Answer (b): The causative have + object + past participle gives had my hair cut.

Revise: Grammar and Usage (Class 11 notes)

Q70Tenses

Fill in the blank: By the time we reached the hall, the film ___.

ahas started
bhad started
cstarts
dwas starting

Answer (b): An action completed before another past action takes the past perfect.

Revise: Grammar and Usage (Class 11 notes)

Q71Tenses

Fill in the blank: I ___ television when the phone rang.

awatched
bam watching
cwas watching
dhave watched

Answer (c): A longer past action interrupted by a shorter one uses the past continuous.

Revise: Grammar and Usage (Class 11 notes)

Q72Reported speech

Choose the correct reported speech: He said, 'I am tired.'

aHe said that he is tired.
bHe said that I was tired.
cHe said that he had tired.
dHe said that he was tired.

Answer (d): In reported speech the present tense shifts to past and the pronoun I becomes he.

Revise: Grammar and Usage (Class 11 notes)

Q73Reported speech

The teacher said, 'Close the door.' The reported form is

aThe teacher said that close the door.
bThe teacher ordered me to close the door.
cThe teacher asked that I closed the door.
dThe teacher ordered me closing the door.

Answer (b): An imperative is reported with an infinitive after ordered.

Revise: Grammar and Usage (Class 11 notes)

Q74Voice

Change into the active voice: The letter was written by Sita.

aSita has written the letter.
bSita wrote the letter.
cSita was writing the letter.
dThe letter wrote Sita.

Answer (b): The agent Sita becomes the subject and was written becomes wrote.

Revise: Grammar and Usage (Class 11 notes)

Q75Voice

Change into the passive voice: They are building a bridge.

aA bridge is being built by them.
bA bridge was built by them.
cA bridge is built by them.
dA bridge has been built by them.

Answer (a): Present continuous active becomes is/are being + past participle.

Revise: Grammar and Usage (Class 11 notes)

Q76Question tags

Choose the correct question tag: She can swim, ___?

aisn't she
bdoesn't she
ccan she
dcan't she

Answer (d): A positive statement takes a negative tag with the same auxiliary: can't she.

Revise: Grammar and Usage (Class 11 notes)

Q77Infinitives and gerunds

Fill in the blank: He enjoys ___ football with his friends.

aplaying
bto play
cplay
dplayed

Answer (a): Enjoy is followed by a gerund.

Revise: Grammar and Usage (Class 11 notes)

Q78Infinitives and gerunds

Fill in the blank: She decided ___ the job offer.

aaccepting
bto accept
caccept
daccepted

Answer (b): Decide is followed by an infinitive with to.

Revise: Grammar and Usage (Class 11 notes)

Q79Conditionals

Fill in the blank: If it rains tomorrow, we ___ at home.

awould stay
bstayed
cwill stay
dwould have stayed

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

Revise: Grammar and Usage (Class 11 notes)

Q80Conditionals

Fill in the blank: If I were a bird, I ___ fly across the mountains.

awill
bcan
cwould
dhad

Answer (c): Second conditional: if + past, would + base verb.

Revise: Grammar and Usage (Class 11 notes)

Q81Conditionals

Fill in the blank: If she had studied harder, she ___ the exam.

awould pass
bwould have passed
cwill pass
dhad passed

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

Revise: Grammar and Usage (Class 11 notes)

Q82Conjunctions

Fill in the blank: ___ he was ill, he attended the class.

aBecause
bUnless
cAlthough
dSo

Answer (c): The clause shows contrast, so the conjunction although fits.

Revise: Grammar and Usage (Class 11 notes)

Q83Synonyms

Choose the word closest in meaning to BRIEF.

ashort
blengthy
cvague
dloud

Answer (a): Brief means lasting a short time.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q84Tenses

Fill in the blank: She ___ in this town since 2010.

alived
bhas lived
cis living
dhad lived

Answer (b): Since with a starting point and a link to now takes the present perfect.

Revise: Grammar and Usage (Class 11 notes)

Q85Antonyms

Choose the word opposite in meaning to VICTORY.

atriumph
bsuccess
cconquest
ddefeat

Answer (d): Victory means winning; the antonym is defeat.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q86Prepositions

Fill in the blank: The teacher divided the class ___ four groups.

ain
bby
camong
dinto

Answer (d): Divided into is used when a whole is split into parts.

Revise: Grammar and Usage (Class 11 notes)

Q87Reading comprehension

aTo stop rain from washing the soil away
bTo make walking easier
cTo keep animals out
dTo grow tall trees

Answer (a): The passage says the steps stop rain from washing the soil away.

Revise: Reading Comprehension (Class 11 notes)

Q88Reading comprehension

aWheat
bMaize
cTea
dRice

Answer (d): The last sentence mentions water needed for growing rice.

Revise: Reading Comprehension (Class 11 notes)

Q89Reading comprehension

athe hills of Nepal
bthe Terai plains
cthe Himalayan peaks
dbig cities

Answer (a): The first sentence places it in the hills of Nepal.

Revise: Reading Comprehension (Class 11 notes)

Q90Reading comprehension

aThey give shade
bThey prevent snowfall
cThey attract birds
dThey hold water

Answer (d): The passage says the flat steps also hold water.

Revise: Reading Comprehension (Class 11 notes)

General Knowledge and IT

Q91Nepal GK

Sagarmatha National Park was listed as a UNESCO World Heritage Site in

a1984
b1990
c1979
d1965

Answer (c): The park was inscribed in 1979.

Q92World GK

The capital city of Australia is

aSydney
bMelbourne
cCanberra
dPerth

Answer (c): Canberra, not Sydney, is the capital of Australia.

Q93Nepal GK

Lumbini, in Nepal, is the birthplace of

aGautama Buddha
bLord Rama
cMahavira
dGuru Nanak

Answer (a): Lumbini is the recognised birthplace of Siddhartha Gautama, the Buddha.

Q94World GK

The largest ocean on Earth is the

aPacific Ocean
bAtlantic Ocean
cIndian Ocean
dArctic Ocean

Answer (a): The Pacific covers more area than any other ocean.

Q95Nepal GK

Nepal was declared a federal democratic republic in

a2006
b2008
c2015
d1990

Answer (b): The first Constituent Assembly abolished the monarchy and declared a republic in 2008.

Q96Hardware and I/O devices

Which of the following is an input device?

aMonitor
bPrinter
cScanner
dSpeaker

Answer (c): A scanner sends data into the computer; the others output it.

Revise: Computer System (Class 11 notes)

Q97HTML and full forms

HTML stands for

aHigh Text Machine Language
bHyperTool Making Language
cHome Text Markup Level
dHyperText Markup Language

Answer (d): HTML is the HyperText Markup Language used to structure web pages.

Revise: Web Technology I (Class 11 notes)

Q98Software

Which of the following is system software?

aMS Word
bPhotoshop
cOperating system
dMS Excel

Answer (c): An operating system manages hardware; the others are application software.

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

Q99Internet and email

In an email address such as [email protected], the symbol that separates the user name from the domain is

Answer (d): The @ sign separates the mailbox name from the domain name.

Revise: Concept of Network and Data Communication (Class 12 notes)

Q100Programming basics

A finite set of step-by-step instructions to solve a problem is called a(n)

acompiler
balgorithm
cprotocol
ddatabase

Answer (b): That is the definition of an algorithm.

Revise: Programming Concepts and Logic (Class 11 notes)

Timed test Model set 2 →

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