BCA Entrance Exam 2076 Questions with Answers

1. ashowed up
2. bshut up
3. cshowed off
4. dshut down

Answer (a): "Show up" means to appear or arrive, which fits someone turning up unexpectedly.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. acatch up on
2. bcatch on
3. ccatch up with
4. dcatch out

Answer (a): "Catch up on" means to do something you have not had time to do, such as reading.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ado for something
2. bdo without
3. cdo over
4. ddo with

Answer (c): "Do over" means to redecorate or renovate, so she is having the cottage done over.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. agets away
2. bgets across
3. cgets about
4. dgets along

Answer (b): "Get across" means to be communicated and understood, which suits an advertisement.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ashake off
2. bshake up
3. cshack up
4. dshow off

Answer (a): "Shake off" means to get rid of an illness.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. awork out
2. bwork up
3. cwrap up
4. dwrite off

Answer (b): "Work up an appetite" is the fixed phrase meaning to make yourself hungry.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. afinish
2. bappreciate
3. cimprove
4. daffluent

Answer (c): To ameliorate is to make something better, so it means improve.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. amiser
2. bindolent
3. chinder
4. dshabby

Answer (d): Squalor is a dirty, neglected condition, closest to shabby.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. amellowed
2. bsacred
3. cdecayed
4. dmixed

Answer (b): Hallowed means holy or revered, so sacred.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. abulky
2. bskinny
3. cobese
4. dfat

Answer (b): Corpulent means fat; the opposite is skinny.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aregicide
2. bgenocide
3. csororicide
4. dsuicide

Answer (c): Latin soror means sister, so killing a sister is sororicide.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. acourt
2. btrack
3. cring
4. darena

Answer (c): A boxing match takes place in a ring.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aprison, sty
2. bconvent, hermitage
3. casylum, stable
4. dcottage, inn

Answer (b): A nun lives in a convent and a hermit in a hermitage.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. atolls
2. bjingles
3. cwhistle
4. drattles

Answer (a): A bell tolls (rings slowly), while bracelets jingle.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ahumble
2. brough
3. ccheap
4. dunique

Answer (a): Pompous means self-important; the opposite is humble.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aapostate
2. batheist
3. csecular
4. dcredulous

Answer (a): An apostate is a person who gives up their religion (the option is misprinted as "postate").

Revise: Vocabulary and Word Formation (Class 11 notes)

1. apedantic
2. bextempore
3. cepilogue
4. dverbatim

Answer (d): Verbatim means in exactly the same words.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aby
2. bin
3. cof
4. dfrom

Answer (c): We say "die of" a disease.

Revise: Grammar and Usage (Class 11 notes)

1. ato
2. bon
3. cwith
4. dfor

Answer (c): "Agree with" a person.

Revise: Grammar and Usage (Class 11 notes)

1. aat, with
2. bwith, with
3. cto, with
4. dto, to

Answer (a): We are angry "at" a thing and angry "with" a person.

Revise: Grammar and Usage (Class 11 notes)

1. afor
2. bat
3. cwith
4. dby

Answer (a): "Look for" means to search.

Revise: Grammar and Usage (Class 11 notes)

1. ato
2. bwith
3. cfor
4. dby

Answer (a): "Useful to" someone is the usual collocation.

Revise: Grammar and Usage (Class 11 notes)

1. afor
2. bon
3. cin
4. dat

Answer (a): We are fined "for" an offence.

Revise: Grammar and Usage (Class 11 notes)

1. ain
2. bwith
3. cat
4. dabout

Answer (c): "Good at" a skill or activity.

Revise: Grammar and Usage (Class 11 notes)

1. aat pleasure
2. bat will
3. cto the extreme
4. dfor the time being

Answer (d): Latin ad interim means in the meantime, that is, for the time being.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aoligarchy
2. baristocracy
3. cplutocracy
4. ddemocracy

Answer (c): Plutocracy is rule by the wealthy (ploutos means wealth).

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aotherwise
2. byet
3. chowever
4. dbut

Answer (a): "Otherwise" means "if not", which gives the needed condition.

Revise: Grammar and Usage (Class 11 notes)

1. atreats
2. bworks
3. cwatches
4. dsleeps

Answer (b): The idiom means to work very hard, so "works".

Revise: Vocabulary and Word Formation (Class 11 notes)

1. afits very well
2. bloosely fits
3. cmatches
4. ddresses

Answer (a): The idiom means to fit perfectly.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. atasks
2. bgreen lights
3. cfun and entertainment
4. dcreativity

Answer (c): "A night on the town" means a lively evening of fun and entertainment.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. avery happy spirit
2. bdressed in one's best clothes
3. ca routine dress
4. da small chance to bring good luck

Answer (b): "To the nines" means in an elegant, showy way, so dressed in one's best clothes.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ashe had burnt her fingers.
2. bshe was not happy with the Sultan's statement about his own income
3. cthe Sultan was busy copying the holy book.
4. dof the Sultan's undue concern for her.

Answer (b): She was annoyed when the Sultan said his income did not allow him to hire a maid or spend lavishly.

Revise: Reading Comprehension (Class 11 notes)

1. aHe was afraid that his subjects would accuse him of theft.
2. bHe had already distributed the money to the poor.
3. cHe wanted to annoy his Begum.
4. dHe was convinced that the money belonged to the people.

Answer (d): He told the Begum the treasure was the people's wealth and he was answerable to God.

Revise: Reading Comprehension (Class 11 notes)

1. aSultan should earn his own livelihood.
2. bMoney in the treasury should not be distributed to the poor.
3. cSultan should employ a maid-servant.
4. dSultan should help her in her household duties.

Answer (c): She asked, "Why don't you employ some maid servant?"

Revise: Reading Comprehension (Class 11 notes)

1. aHe was devoted to the holy Koran.
2. bHe was fair to all and was full of wisdom.
3. cHe kept the treasury full of wealth.
4. dHe made his wife work like an ordinary woman.

Answer (b): The passage calls him a wise and just ruler whom everybody praised.

Revise: Reading Comprehension (Class 11 notes)

1. aThe simple life style of the Sultan.
2. bThe lack of money in the treasury.
3. cThe poor working of the maid servant.
4. dThe Sultan's greed for money.

Answer (a): The Sultan led a simple life and employed no servants, so she had to do the chores.

Revise: Reading Comprehension (Class 11 notes)

1. a$6$
2. b$-6$
3. c$3$
4. d$-2$

Answer (b): Equal inclination with both axes means slope $=\pm1$. $\frac{-5-2}{k-1}=\frac{-7}{k-1}$. Setting it to $1$ gives $k=-6$; setting it to $-1$ gives $k=8$, which is not offered, so $-6$ is the only option.

Revise: Analytic geometry (Class 11 notes)

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

Answer (c): $\cot 90^\circ=\frac{\cos 90^\circ}{\sin 90^\circ}=\frac{0}{1}=0$.

Revise: Trigonometry (Class 11 notes)

1. a$\frac{1}{26}$
2. b$\frac{5}{6}$
3. c$\frac{3}{4}$
4. d$\frac{15}{36}$

Answer (a): There are 2 red queens in 52 cards, so $P=\frac{2}{52}=\frac{1}{26}$ (a queen of any suit would be $\frac{1}{13}$, which is not offered).

Revise: Statistics and Probability (Class 11 notes)

1. a$(A-B)\cup(A-C)$
2. b$(A-B)\cap(A-C)$
3. c$(A\cap B)-(A\cap C)$
4. d$(A\cup B)-(A\cup C)$

Answer (b): By De Morgan: $A\cap(B\cup C)^c=A\cap B^c\cap C^c=(A-B)\cap(A-C)$.

Revise: Algebra (Class 11 notes)

1. a$50$
2. b$45$
3. c$52$
4. d$58$

Answer (c): $n(M\cup S)=120-10=110$. $110=90+72-n(M\cap S)$, so $n(M\cap S)=52$.

Revise: Algebra (Class 11 notes)

1. a$|x-1|<7$
2. b$|x-1|<6$
3. c$|x-1|<2$
4. d$|x-1|<-1$

Answer (b): The midpoint is $\frac{-5+7}{2}=1$ and the half-width is $6$, so $|x-1|<6$.

Revise: Algebra (Class 11 notes)

1. a${2,3,4,5}$
2. b${1,2,3,4}$
3. c${1,2,3,5}$
4. d${1,3,4,5}$

Answer (a): The range is the set of second elements: 2, 3, 4, 5.

Revise: Algebra (Class 11 notes)

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

Answer (c): $\tan180^\circ=\frac{\sin180^\circ}{\cos180^\circ}=\frac{0}{-1}=0$.

Revise: Trigonometry (Class 11 notes)

1. a$\frac{n(n+1)}{2}$
2. b$\frac{n(n+1)(2n+1)}{6}$
3. c$\left(\frac{n+1}{2}\right)^2$
4. dNone of the above

Answer (b): This is the standard formula for the sum of the first n squares.

Revise: Algebra (Class 11 notes)

1. aSymmetric Matrix
2. bSkew-Symmetric Matrix
3. cDiagonal Matrix
4. dTriangular Matrix

Answer (b): Here $a_{ij}=-a_{ji}$ and the diagonal is zero, so $A^T=-A$: skew-symmetric.

Revise: Algebra (Class 11 notes)

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

Answer (b): $r^2=9$, so $r=3$.

Revise: Analytic geometry (Class 11 notes)

1. a$25\sqrt2$
2. b$4\sqrt3$
3. c$0$
4. d$60$

Answer (a): $2\sqrt{128}=2\cdot8\sqrt2=16\sqrt2$ and $\sqrt{162}=9\sqrt2$, total $25\sqrt2$.

Revise: Algebra (Class 11 notes)

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

Answer (d): $A^2=\begin{bmatrix}7&4\6&7\end{bmatrix}$. Then $A^2-2A-5I=\begin{bmatrix}7-2-5&4-4\6-6&7-2-5\end{bmatrix}=0$.

Revise: Algebra (Class 11 notes)

1. a$200$
2. b$100$
3. c$50$
4. d$90$

Answer (c): A quarter of 400 is 100, and half of 100 is 50.

Revise: Algebra (Class 11 notes)

1. a$0.2$
2. b$0.02$
3. c$0.005$
4. d$0.05$

Answer (c): Half percent is $0.5%=\frac{0.5}{100}=0.005$.

Revise: Algebra (Class 11 notes)

1. a$12\%$
2. b$13\%$
3. c$14\%$
4. d$15\%$

Answer (d): Present worth $=2562-122=2440$. $122=\frac{2440\cdot r\cdot(1/3)}{100}$, so $r=\frac{122\cdot300}{2440}=15%$.

Revise: Algebra (Class 11 notes)

1. a$40\%$
2. b$42\%$
3. c$44\%$
4. d$46\%$

Answer (c): New area $=1.2\times1.2=1.44$ times the old area, an increase of $44%$.

Revise: Algebra (Class 11 notes)

1. a$5.9$ cm
2. b$6$ cm
3. c$4.8$ cm
4. d$7$ cm

Answer (b): Triangles AOD and BOC are congruent (SAS, with vertically opposite angles at O), so BC = AD = 6 cm.

Revise: Analytic geometry (Class 11 notes)

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

Answer (a): Amount $=34347=30000(1.07)^n$, so $(1.07)^n=1.1449=(1.07)^2$, giving $n=2$.

Revise: Algebra (Class 11 notes)

1. aRs. 1,200
2. bRs. 1,000
3. cRs. 960
4. dRs. 900

Answer (a): $CP=\frac{720}{0.75}=960$. Selling price for 25% gain $=960\times1.25=1200$.

Revise: Algebra (Class 11 notes)

1. a$13\%$
2. b$20\%$
3. c$4\%$
4. d$12.5\%$

Answer (d): Cost per pen $=\frac{96}{12}=8$; selling price per pen $=\frac{90}{10}=9$. Gain $=\frac{1}{8}\times100=12.5%$.

Revise: Algebra (Class 11 notes)

1. a$\frac12$
2. b$\frac{\sqrt3}{2}$
3. c$\frac{1}{\sqrt3}$
4. d$-\frac12$

Answer (a): $\cos^2\theta-\sin^2\theta=\cos2\theta$, so it equals $\cos60^\circ=\frac12$.

Revise: Trigonometry (Class 11 notes)

1. a$60$
2. b$100$
3. c$50$
4. d$165$

Answer (d): The paper prints the stone area as 0.16 cm square, a misprint for 0.16 m square. Courtyard area $=5.5\times4.8=26.4\ \text{m}^2$, so the number of stones $=\frac{26.4}{0.16}=165$.

Revise: Algebra (Class 11 notes)

1. aRs. 196
2. bRs. 440
3. cRs. 360
4. dRs. 1,000

Answer (a): $5600\times\frac{3.5}{100}=196$.

Revise: Algebra (Class 11 notes)

1. a$12\%$
2. b$20\%$
3. c$5\%$
4. d$38\%$

Answer (a): $\frac{696}{5800}\times100=12%$.

Revise: Algebra (Class 11 notes)

1. a$20\%$
2. b$17.39\%$
3. c$35\%$
4. d$10\%$

Answer (a): Tax $=2400-2000=400$, rate $=\frac{400}{2000}\times100=20%$.

Revise: Algebra (Class 11 notes)

1. a$10$ years
2. b$20$ years
3. c$12$ years
4. d$15$ years

Answer (c): Let son $=s$, father $=52-s$. $44-s=8(s-8)$, so $108=9s$ and $s=12$.

Revise: Algebra (Class 11 notes)

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

Answer (a): $x^2-4=21$, so $x^2=25$ and $x=5$ (also $-5$).

Revise: Algebra (Class 11 notes)

1. a$18$
2. b$7$
3. c$10$
4. d$2$

Answer (b): Completing squares: $(x-6)^2+(y-2)^2=9+36+4=49$, so $r=7$.

Revise: Analytic geometry (Class 11 notes)

1. aexactly one solution
2. bmore than one solution
3. cno solution
4. dnone of these

Answer (a): A consistent independent system has exactly one solution (lines intersect at one point).

Revise: Algebra (Class 11 notes)

1. aleft open interval
2. bright open interval
3. cclosed interval
4. dopen interval

Answer (a): The left end a is excluded and the right end b is included: a left open (half-open) interval.

Revise: Algebra (Class 11 notes)

1. a$9x+8$
2. b$2x+2$
3. c$2x+1$
4. d$6x^2-7$

Answer (d): $g(f(x))=3(2x^2-3)+2=6x^2-9+2=6x^2-7$.

Revise: Algebra (Class 11 notes)

1. a$1$
2. b$0$
3. c$-1$
4. dnone of these

Answer (b): A singular matrix has zero determinant (no inverse).

Revise: Algebra (Class 11 notes)

1. aconsistent and dependent
2. binconsistent and independent
3. cinconsistent and dependent
4. dconsistent and independent

Answer (d): Adding gives $-y=10$, so $y=-10$ and $x=-9$. A single solution means consistent and independent (slopes $\frac43$ and $2$ differ).

Revise: Algebra (Class 11 notes)

1. a$2:7$
2. b$2:8$
3. c$2:3$
4. d$10:3$

Answer (d): $2\text{ km}=2000$ m, so $2000:600=10:3$.

Revise: Algebra (Class 11 notes)

1. aantecedent
2. bextreme
3. cconsequent
4. dmean

Answer (d): In a proportion a:b = c:d, a and d are extremes while b and c are means.

Revise: Algebra (Class 11 notes)

1. aequal
2. brational
3. cirrational
4. dimaginary

Answer (d): A negative discriminant gives complex (imaginary) roots.

Revise: Algebra (Class 11 notes)

1. adecagon
2. bheptagon
3. cquadrilateral
4. dhexagon

Answer (a): Ten sides is a decagon.

Revise: Algebra (Class 11 notes)

1. asimultaneous equation
2. bsecond degree equation
3. cfirst degree equation
4. dzero degree equation

Answer (c): A linear equation has degree one.

Revise: Algebra (Class 11 notes)

1. aangles
2. btransversal lines
3. cvertex
4. dparallel line

Answer (d): Coplanar lines that never meet are parallel.

Revise: Analytic geometry (Class 11 notes)

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

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

Revise: Algebra (Class 11 notes)

1. ain G.P
2. bin A.P
3. creal numbers
4. din H.P

Answer (a): $G^2=AH$ (since $AH=\frac{a+b}{2}\cdot\frac{2ab}{a+b}=ab=G^2$), so they are in G.P.

Revise: Algebra (Class 11 notes)

1. a$45\%$
2. b$48\%$
3. c$49\%$
4. d$50\%$

Answer (b): $CP=\frac{76}{1.52}=50$. Selling at 74 gives gain $24$, i.e. $\frac{24}{50}=48%$.

Revise: Algebra (Class 11 notes)

1. a$12\%$
2. b$8\%$
3. c$6\%$
4. d$10\%$

Answer (d): $CP=\frac{10}{6}=\frac53$ each, $SP=\frac64=\frac32$. Loss $=\frac53-\frac32=\frac16$, so loss $%=\frac{1/6}{5/3}\times100=10%$.

Revise: Algebra (Class 11 notes)

1. aRs. 950
2. bRs. 900
3. cRs. 1,000
4. dRs. 1,050

Answer (b): $SP=1100\times0.9=990$. $CP=\frac{990}{1.10}=900$.

Revise: Algebra (Class 11 notes)

1. a$20\%$
2. b$15\%$
3. c$10\%$
4. d$5\%$

Answer (d): Loss $=1260-1197=63$, and $\frac{63}{1260}\times100=5%$.

Revise: Algebra (Class 11 notes)

1. a$18\%$
2. b$19\%$
3. c$20\%$
4. d$21\%$

Answer (d): $CP=\frac{10}{11}$, $SP=\frac{11}{10}$ per pen. Profit $%=\frac{SP-CP}{CP}=\frac{121-100}{100}=21%$.

Revise: Algebra (Class 11 notes)

1. aTanahun
2. bMakwanpur
3. cMustang
4. dGorkha

Answer (c): Muktinath is in Mustang district.

1. aNile
2. bGanga
3. cAmazon
4. dIndus

Answer (a): The Nile (about 6,650 km) is traditionally counted as the longest river, though some measurements now give the Amazon.

1. aOrder Significance
2. bOpen Software
3. cOperating System
4. dOptical Sensor

Answer (c): OS stands for Operating System.

Revise: Computer System (Class 11 notes)

1. aWednesday
2. bThursday
3. cFriday
4. dSaturday

Answer (c): If Monday is two days away, today is Saturday, so yesterday was Friday.

1. aHelambu
2. bBirgunj
3. cTanahun
4. dLumbini

Answer (a): Province 3 (now Bagmati) includes Sindhupalchok, where Helambu lies. Birgunj is in Madhesh, Tanahun in Gandaki and Lumbini in Province 5; none of the others are districts of Province 3.

1. a$4$
2. b$16$
3. c$8$
4. d$32$

Answer (c): One byte is 8 bits.

Revise: Computer System (Class 11 notes)

1. aCroatia
2. bRussia
3. cArgentina
4. dFrance

Answer (d): France beat Croatia 4-2 in the 2018 final in Russia.

1. aCrop
2. bReport
3. csort
4. dRecord

Answer (c): Arranging data in order is called sorting.

Revise: Computer System (Class 11 notes)

1. a$75$
2. b$73$
3. c$77$
4. d$76$

Answer (c): Nepal has 77 districts: the earlier 75 became 77 when Nawalparasi and Rukum were each split into two under the 2015 federal structure.

1. aWWW
2. bE-mail
3. cCDROM
4. dHTTP

Answer (c): WWW, e-mail and HTTP are internet services or protocols; a CD-ROM is a storage medium.

Revise: Computer System (Class 11 notes)