BCA Entrance Exam 2077 Questions with Answers

1. aboasting person
2. bhonest and straightforward
3. ca man with arrogance
4. da dishonest person

Answer (b): "Above board" describes something open, legal and honest.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ato disrespect
2. bto say in anger
3. cto speak plainly
4. dto manipulate

Answer (c): The idiom means to speak frankly and plainly, without softening the truth.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aentirely
2. bstep by step
3. cpart by part
4. dbare truth

Answer (a): "Root and branch" means completely, thoroughly.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. abelong
2. bfall
3. csplit
4. dconvert

Answer (b): "Fall into" categories is the standard collocation.

Revise: Grammar and Usage (Class 11 notes)

1. ato argue
2. bto request
3. cto give respect
4. dto be polite

Answer (a): To bandy words is to exchange angry words, that is, to argue.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. atrue promise
2. bfalse promise
3. cfrequent
4. dsometimes

Answer (d): "Ever and anon" means now and then, sometimes.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. afalse
2. bharmful
3. cpoisonous
4. dforeign

Answer (a): Spurious means not genuine, so false.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aadd
2. blow
3. ccopy
4. dinitial

Answer (a): To annex is to attach or add something to a larger thing.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. abeauty
2. bpower
3. cagreement
4. dnone of these

Answer (c): Apart from a musical show, "concert" means agreement or harmony (acting in concert).

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ato ignore
2. bto avoid
3. cto shun
4. dall of above

Answer (d): To snub is to coldly ignore or reject someone, which includes avoiding and shunning them.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aredress
2. bamends
3. ccompensation
4. dpunishment

Answer (c): Money paid for damage caused is compensation.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. achauvinist
2. bconnoisseur
3. cphilistine
4. ddilettante

Answer (d): A dilettante pursues arts casually, without deep commitment.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aforget
2. btired
3. cdelivered on
4. drelied upon

Answer (c): "Deliver on a promise" means to fulfil it.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. astatus
2. bpride
3. cdeceit
4. dpresumption

Answer (b): He feels great pride in his family's position but does not boast, so pride.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. afailure
2. brebuttal
3. caccumulation
4. declipse

Answer (d): "In eclipse" means in decline, a fitting contrast with admitting his genius.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aafter
2. bin
3. cover
4. dat

Answer (c): "Control over" something.

Revise: Grammar and Usage (Class 11 notes)

1. aof
2. bwith
3. coff
4. dfrom

Answer (d): "Dissociate from".

Revise: Grammar and Usage (Class 11 notes)

1. afor
2. bon
3. cabout
4. dby

Answer (d): Means of travel takes "by": by boat.

Revise: Grammar and Usage (Class 11 notes)

1. afor
2. bat
3. cfrom
4. dto

Answer (d): "Be used to" something means to be accustomed to it.

Revise: Grammar and Usage (Class 11 notes)

1. afrom
2. bon
3. cat
4. din

Answer (c): "Disappointed at" an event or result.

Revise: Grammar and Usage (Class 11 notes)

1. afor
2. babout
3. ctowards
4. dof

Answer (d): "Confident of" success.

Revise: Grammar and Usage (Class 11 notes)

1. aon
2. bfor
3. cwith
4. dorder

Answer (c): "Commensurate with" means in proportion to.

Revise: Grammar and Usage (Class 11 notes)

1. aover
2. bupon
3. cagainst
4. dwith

Answer (c): "Murmur against" means to complain about.

Revise: Grammar and Usage (Class 11 notes)

1. afrom
2. bfor
3. cwith
4. dagainst

Answer (a): We infer something "from" evidence.

Revise: Grammar and Usage (Class 11 notes)

1. ato
2. bfrom
3. cby
4. dwith

Answer (b): One begs something "from" a person.

Revise: Grammar and Usage (Class 11 notes)

1. anot many
2. ban average number
3. cgreat abundance
4. dcurrent amount

Answer (c): Profuse means given or occurring in large amounts.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ato welcome
2. bto applaud
3. cmotivate
4. dto avoid

Answer (d): To give a wide berth to someone is to keep well away from them, that is, avoid.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. agenerous
2. bkind
3. cgood
4. dall of the above

Answer (d): Benevolent means well-meaning and kindly, covering generous, kind and good.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. areal victory
2. bvictory with a policy
3. cmuch awaited victory
4. dvictory at a high cost

Answer (d): A Pyrrhic victory is won at such a heavy cost that it is almost a defeat (King Pyrrhus of Epirus).

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ato incite people
2. bto listen carefully
3. cto give a long speech
4. dto abuse

Answer (a): "Set by the ears" means to make people quarrel, to incite them against each other.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aHe offered me tea
2. bHe asked if I would like tea
3. cBoth A and B
4. dNone of the above

Answer (c): The question is an offer and, in reported speech, "He asked if I would like tea", so both statements hold.

Revise: Grammar and Usage (Class 11 notes)

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

Answer (a): Both points have the same $y$-coordinate, so slope $=\frac{b-b}{\frac1a-a}=0$.

Revise: Analytic geometry (Class 11 notes)

1. amutually exclusive
2. bequally likely events
3. cexhaustive
4. ddependent events

Answer (c): Events whose union is the whole sample space are exhaustive.

Revise: Statistics and Probability (Class 11 notes)

1. a${1,\sqrt3}$
2. b${-1,\sqrt3}$
3. c$\{\}$
4. d$(-1,0)$

Answer (c): Discriminant $=1-4=-3<0$, so there is no real root and the set is empty.

Revise: Algebra (Class 11 notes)

1. anatural number
2. ba whole number
3. can integer number
4. da real number

Answer (d): Rational numbers are a subset of the real numbers (the option is misprinted as "areal"); fractions are neither natural nor integers.

Revise: Algebra (Class 11 notes)

1. a$f(-a)$
2. b$f\left(\frac1a\right)$
3. c$f(a^2)$
4. d$f\left(\frac{-a}{a+1}\right)$

Answer (c): $f(a)=\frac{a}{a-1}$, $f(a+1)=\frac{a+1}{a}$, ratio $=\frac{a^2}{a^2-1}=f(a^2)$.

Revise: Algebra (Class 11 notes)

1. a$60$
2. b$40$
3. c$50$
4. d$70$

Answer (a): The even numbers 22, 24, ..., 98 are evenly spread about the midpoint, so average $=\frac{22+98}{2}=60$.

Revise: Algebra (Class 11 notes)

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

Answer (c): $\tan30^\circ=\frac1{\sqrt3}$, so $\cot30^\circ=\sqrt3$.

Revise: Trigonometry (Class 11 notes)

1. a$A_{2\times3}, B_{3\times2}, C_{2\times3}$
2. b$A_{3\times2}, B_{2\times3}, C_{2\times2}$
3. c$A_{3\times2}, B_{2\times3}, C_{3\times3}$
4. d$A_{3\times3}, B_{2\times3}, C_{3\times3}$

Answer (c): If A is m x n and B is n x p, then AB is m x p. In option c, 3x2 times 2x3 gives 3x3, which matches C.

Revise: Algebra (Class 11 notes)

1. a$56\ \text{m}^2$
2. b$36\ \text{m}^2$
3. c$46\ \text{m}^2$
4. d$26\ \text{m}^2$

Answer (b): $4a\times5=120$, so $a=6$ m and the floor area is $6^2=36\ \text{m}^2$.

Revise: Algebra (Class 11 notes)

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

Answer (c): Column 1 is $8\times$ column 3 ($8\cdot6=48$, $8\cdot4=32$, $8\cdot2=16$), so two columns are proportional and the determinant is $0$.

Revise: Algebra (Class 11 notes)

1. a$0\%$
2. b$25\%$
3. c$0.25\%$
4. d$2.5\%$

Answer (b): $100\to50\to75$, so the net loss is $25%$.

Revise: Algebra (Class 11 notes)

1. a$10\%$
2. b$20\%$
3. c$25\%$
4. d$26\%$

Answer (c): $2a=8b$, so $\frac{2b}{8b}\times100=25%$.

Revise: Algebra (Class 11 notes)

1. a$25\%$
2. b$35\%$
3. c$24\%$
4. d$30\%$

Answer (a): $1$ kg $=1000$ g, so $\frac{250}{1000}\times100=25%$. The stray '3' in the printed stem is a scan artefact.

Revise: Algebra (Class 11 notes)

1. a$2x+y=8$
2. b$2x-y=4$
3. c$x+2y=8$
4. d$x-2y=4$

Answer (a): $y-4=-2(x-2)$ gives $y=-2x+8$, i.e. $2x+y=8$.

Revise: Analytic geometry (Class 11 notes)

1. a$30\%$
2. b$25\%$
3. c$20\%$
4. d$16\%$

Answer (c): Let cost per book be 1. Selling 50 books gives $50+10=60$, so profit is $10$ on a cost of $50$: $\frac{10}{50}=20%$.

Revise: Algebra (Class 11 notes)

1. a$33.33\%$
2. b$40.5\%$
3. c$45\%$
4. d$49\%$

Answer (a): The printed stem shows a stray '10' beside 12; read as 12 articles, the only reading that gives an option. If cost of 12 equals selling price of 9, profit $=\frac{12-9}{9}=33.33%$.

Revise: Algebra (Class 11 notes)

1. a$2816$
2. b$281600$
3. c$218500$
4. d$2185$

Answer (a): Wall volume $=11\times96\times64=67584\ \text{cm}^3$ and brick volume $=4\times3\times2=24\ \text{cm}^3$, so bricks $=\frac{67584}{24}=2816$. The paper prints 2815, a misprint for 2816.

Revise: Algebra (Class 11 notes)

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

Answer (c): $\sec60^\circ=\frac{1}{\cos60^\circ}=\frac{1}{1/2}=2$.

Revise: Trigonometry (Class 11 notes)

1. a$25\%$
2. b$10\%$
3. c$4\%$
4. d$8\%$

Answer (d): Simple interest $=2P$, so $2P=\frac{P\cdot r\cdot25}{100}$ and $r=8%$.

Revise: Algebra (Class 11 notes)

1. a$5$
2. b$6$
3. c$7$
4. d$9$

Answer (b): $(30-x)(14-x)=192$ gives $x^2-44x+228=0$, so $x=6$ (the other root 38 is impossible).

Revise: Algebra (Class 11 notes)

1. a$\pm5$
2. b$\pm6$
3. c$\pm7$
4. d$\pm9$

Answer (a): $x^2-5=20$, so $x^2=25$ and $x=\pm5$.

Revise: Algebra (Class 11 notes)

1. a$11$
2. b$12$
3. c$13$
4. d$14$

Answer (a): $x+(x+18)=40$ gives $x=11$.

Revise: Algebra (Class 11 notes)

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

Answer (c): $M^2=\begin{pmatrix}5&8\8&13\end{pmatrix}$. Top-left entry: $5-r-1=0$ gives $r=4$; check off-diagonal $8-2r=0$ also gives $4$.

Revise: Algebra (Class 11 notes)

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

Answer (b): $f(x+h)-f(x)=3h$, so the ratio is $3$.

Revise: Algebra (Class 11 notes)

1. aalways an irrational number
2. balways a rational number
3. calways a real number
4. dAll of above

Answer (c): The difference can be rational (e.g. $\sqrt2-\sqrt2=0$) or irrational, but it is always a real number.

Revise: Algebra (Class 11 notes)

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

Answer (c): The paper prints $p+q$, a misprint for $p+r$ (only $p+r$ can be found). Adding the two equations gives $2(p+r)=12$, so $p+r=6$.

Revise: Algebra (Class 11 notes)

1. a$4$
2. b$2$
3. c$7$
4. dnone

Answer (b): Let the common value be $k$: $a+b+c=18k$ and $c=9k$, so the ratio is $2$.

Revise: Algebra (Class 11 notes)

1. a$6$
2. b$18$
3. c$36$
4. d$72$

Answer (b): $0.6\times450=270=15x$, so $x=18$.

Revise: Algebra (Class 11 notes)

1. aunique solution
2. bno solution
3. cinfinitely many solutions
4. dnone of these

Answer (b): Multiplying the second by $-2$ gives $-4x+6y+2z=28$, which contradicts $=8$, so the system has no solution.

Revise: Algebra (Class 11 notes)

1. a$7,4$
2. b$9,7$
3. c$29,17$
4. d$19,13$

Answer (c): Length plus breadth $=92/2=46$ and length times breadth $=493$. $29+17=46$ and $29\times17=493$, so the sides are $29$ m and $17$ m.

Revise: Algebra (Class 11 notes)

1. a$2$
2. b$1$
3. cboth
4. dnone

Answer (b): The left side is $(x-1)^3$, so $x=1$.

Revise: Algebra (Class 11 notes)

1. aa right angle triangle
2. ban isosceles triangle
3. can equilateral triangle
4. dnone of these

Answer (a): $3^2+4^2=9+16=25=5^2$, so it is right-angled.

Revise: Analytic geometry (Class 11 notes)

1. a$-1<x<1$
2. b$1<x<3$
3. c$0<x<2$
4. d$4<x<6$

Answer (c): $x^2-2x<0$ gives $x(x-2)<0$, so $0<x<2$.

Revise: Algebra (Class 11 notes)

1. a$7$
2. b$10$
3. c$6$
4. d$5$

Answer (c): Middle term doubled equals sum of the others: $2(x+10)=2x+3x+2$, so $2x+20=5x+2$, giving $x=6$.

Revise: Algebra (Class 11 notes)

1. a$35$
2. b$40$
3. c$45$
4. d$50$

Answer (a): The terms are $1,4,7,10,13$ (AP with $a=1$, $d=3$): $S_5=\frac52(2+12)=35$.

Revise: Algebra (Class 11 notes)

1. a$400$
2. b$500$
3. c$450$
4. d$1000$

Answer (a): The sum of cubes equals the square of the sum: $20^2=400$.

Revise: Algebra (Class 11 notes)

1. a$55.26$
2. b$52.63$
3. c$55$
4. d$56.32$

Answer (a): $CP=\frac{50}{0.95}=52.63$; for 5% gain $SP=52.63\times1.05=55.26$.

Revise: Algebra (Class 11 notes)

1. a$5\%$
2. b$10\%$
3. c$25\%$
4. d$50\%$

Answer (c): Gain $=SP_{50}$, so $SP_{250}-CP_{250}=SP_{50}$, giving $SP_{200}=CP_{250}$. Then $\frac{SP}{CP}=\frac{250}{200}=1.25$: profit $25%$.

Revise: Algebra (Class 11 notes)

1. a$25\%$
2. b$20\%$
3. c$50\%$
4. dnone

Answer (b): $\frac{300-250}{250}\times100=20%$.

Revise: Algebra (Class 11 notes)

1. a$15\%$
2. b$20\%$
3. c$25\%$
4. d$40\%$

Answer (b): Let $SP=100$, list $=125$. Discount $=25$ on $125$: $\frac{25}{125}=20%$.

Revise: Algebra (Class 11 notes)

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

Answer (a): $A^2=\begin{pmatrix}n^2&0\0&1\end{pmatrix}=I$ gives $n^2=1$, so $n=1$ (or $-1$).

Revise: Algebra (Class 11 notes)

1. a$480$
2. b$1000$
3. c$500$
4. d$625$

Answer (c): $SI=\frac{1250\times8\times5}{100}=500$.

Revise: Algebra (Class 11 notes)

1. a$10.5\%$
2. b$11.5\%$
3. c$12.5\%$
4. d$13.5\%$

Answer (c): $SI=P$ in 8 years, so $r=\frac{100}{8}=12.5%$.

Revise: Algebra (Class 11 notes)

1. a$2385$
2. b$2538$
3. c$2358$
4. d$2835$

Answer (d): Numbers are $5k$ and $7k$ with LCM $35k=315$, so $k=9$: $45\times63=2835$.

Revise: Algebra (Class 11 notes)

1. a$1.12$
2. b$1.2$
3. c$1.25$
4. d$1.30$

Answer (b): $0.75\times8=5x$, so $x=\frac{6}{5}=1.2$.

Revise: Algebra (Class 11 notes)

1. aTaplejung
2. bKhotang
3. cSarlahi
4. dMorang

Answer (b): Halesi Mahadev is a well known pilgrimage site in Khotang district.

1. aItaly
2. bRussia
3. cDenmark
4. dChina

Answer (c): The Dannebrog of Denmark is regarded as the oldest continuously used national flag.

1. aSpain
2. bGermany
3. cFrance
4. dAmerica

Answer (a): The modern guitar developed in Spain.

1. aArt info
2. bArtificial Intelligence
3. cArtificial interest
4. dartificial internet

Answer (b): AI stands for Artificial Intelligence.

Revise: Computer System (Class 11 notes)

1. aCricket
2. bArchery
3. cBull fighting
4. dFootball

Answer (b): Archery is the national sport of Bhutan.

1. aSatya Nadella
2. bTim Cook
3. cWarren Buffett
4. dSundar Pichai

Answer (b): At the time of the exam Tim Cook was Apple's CEO (Nadella leads Microsoft, Pichai Google).

1. aBrasilia
2. bRio de Janeiro
3. cSao Paulo
4. dSalvador

Answer (a): Brasilia has been Brazil's capital since 1960.

1. aAnil Gurung
2. bBimal Gharti Magar
3. cBharat Khawas
4. dKiran Chemjong

Answer (a): At the time of the exam (2077) Anil Gurung was captain of the Nepal national football team. The captaincy has changed since.

1. aIraq
2. bIran
3. cEgypt
4. dItaly

Answer (c): Egypt depends on the Nile for fertile land, so it is called the gift of the Nile.