BCA Entrance Exam 2078 Questions with Answers

1. astart
2. bstarting
3. cstarted
4. dto start

Answer (b): After "look forward to", the "to" is a preposition, so a gerund (-ing form) follows.

Revise: Grammar and Usage (Class 11 notes)

1. aliked
2. blook like
3. clike
4. das

Answer (c): "What was she like?" asks for a description of a person's character or appearance.

Revise: Grammar and Usage (Class 11 notes)

1. aput away
2. bfind out
3. cput out
4. dclear up

Answer (b): "Find out" means to discover information, which fits phoning the station.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aRalph has too
2. bRalph hasn't either
3. cso does palph
4. dneither has Ralph

Answer (a): An affirmative addition uses "too" with the same auxiliary: "Ralph has too". "Hasn't either" would be negative and does not match.

Revise: Grammar and Usage (Class 11 notes)

1. abold
2. bsincere
3. cbrave
4. dstrong

Answer (b): "Up front" means open and honest, so the closest word is sincere.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. ain secret
2. bwith difficulty
3. cin a small space
4. dto get appoint

Answer (a): Something kept under wraps is hidden or kept secret.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. achurch
2. bhouse
3. coutdoors
4. dcastle

Answer (d): The proverb is "An Englishman's home is his castle".

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aas clear as day
2. bout of mind
3. cbetter than riches
4. dworse than open enemies

Answer (d): The saying is that false friends are worse than open enemies, because you cannot guard against them.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. amore beautiful
2. bless beautiful
3. cthe most beautiful
4. dmost beautiful

Answer (c): A superlative with "ever" needs "the" before it: the most beautiful.

Revise: Grammar and Usage (Class 11 notes)

1. aget rid of
2. bget even with
3. cget away with
4. dget over to

Answer (a): "Get rid of" means to dispose of something unwanted.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aappreciation
2. bfairness
3. ccohesion
4. dco-ordination

Answer (b): Injustice means unfairness, so its opposite is fairness.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aare
2. bis
3. cwere
4. dhas been

Answer (a): "Prices" is plural and "now" signals present continuous, so "are increasing".

Revise: Grammar and Usage (Class 11 notes)

1. afind
2. blook
3. creceive
4. dexamine

Answer (a): "Please find enclosed" is the standard business-letter phrase.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. a1st
2. b2nd
3. c3rd
4. d4th

Answer (a): BEAU-ti-ful carries the main stress on the first syllable.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. apainful
2. bgoodness
3. cfearless
4. dcourage

Answer (d): Painful (-ful), goodness (-ness) and fearless (-less) have suffixes; "courage" does not.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. agood
2. bpainful
3. cwell
4. dbad

Answer (c): Good, painful and bad are adjectives; "well" is an adverb of manner.

Revise: Grammar and Usage (Class 11 notes)

1. aspeaks
2. btalks
3. ctells
4. dknow

Answer (a): We "speak" a language, and the singular subject needs the -s form.

Revise: Grammar and Usage (Class 11 notes)

1. ahaven't
2. bdon't
3. cisn't
4. ddoesn't

Answer (c): "Mine" stands for "my English" (singular), and the first clause uses "is improving", so the answer is "isn't".

Revise: Grammar and Usage (Class 11 notes)

1. abehind
2. bbetween
3. cbeside
4. din front of

Answer (c): If Mike is beside Pat, then Pat is also beside Mike.

Revise: Grammar and Usage (Class 11 notes)

1. aat
2. bin
3. cof
4. don

Answer (d): We use "on" with floors of a building.

Revise: Grammar and Usage (Class 11 notes)

1. aDo
2. bDoes
3. cDid
4. dAre

Answer (c): "Last year" shows past time, so the question uses "Did".

Revise: Grammar and Usage (Class 11 notes)

1. anothing
2. bago
3. cfor
4. din

Answer (b): "Ago" is used after a period of time to say how long back an event happened.

Revise: Grammar and Usage (Class 11 notes)

1. aworks
2. bbegins
3. cstarts
4. dlikes

Answer (a): "Works in this hospital" is the only natural meaning.

Revise: Grammar and Usage (Class 11 notes)

1. ato turn
2. bturning
3. cturned
4. dturn

Answer (d): After the modal "will" we use the base form: turn.

Revise: Grammar and Usage (Class 11 notes)

1. ais making
2. bhas made
3. chad made
4. dwill make

Answer (c): The earlier mistake is shown with past perfect after the past tense "began".

Revise: Grammar and Usage (Class 11 notes)

1. aShall we?
2. bwill you?
3. cdo we?
4. ddon't we?

Answer (a): The tag for "Let us go" (a suggestion) is "shall we?".

Revise: Grammar and Usage (Class 11 notes)

1. aanticipate
2. banticipates
3. chave anticipated
4. dare anticipating

Answer (b): "Neither" takes a singular verb, so "anticipates".

Revise: Grammar and Usage (Class 11 notes)

1. aDemocracy Day is celebrated on Falgun seven by us
2. bDemocracy Day was celebrated on Falgun seven by us
3. cDemocracy Day has been celebrated on Falgun seven by us.
4. dDemocracy Day had been celebrated on Falgun seven by us.

Answer (a): Simple present active becomes "is/are + past participle" in the passive.

Revise: Grammar and Usage (Class 11 notes)

1. aan
2. ba
3. cthe
4. dnone of the above

Answer (a): "Obedient" begins with a vowel sound, so "an".

Revise: Grammar and Usage (Class 11 notes)

1. aliked
2. bnoted
3. cprovided
4. drejected

Answer (d): The antonym of accepted is rejected.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aImitate
2. bDeny
3. cDiscuss
4. dReject

Answer (a): To copy something is to imitate it.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aHari says he is very happy.
2. bHari says he was very happy.
3. cHari said he is very happy.
4. dHari said he was very happy.

Answer (a): With a present-tense reporting verb (says) the tense does not change; only the pronoun changes.

Revise: Grammar and Usage (Class 11 notes)

1. aoligarchy
2. bdemocracy
3. cplutocracy
4. daristocracy

Answer (c): Plutocracy means 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 we are not early", which gives the needed condition.

Revise: Grammar and Usage (Class 11 notes)

1. acourt
2. btrack
3. carena
4. dring

Answer (d): Boxing takes place in a ring.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aOf the post-modern researchers.
2. bOf the conventional critics.
3. cOf Anderson.
4. dOf recent researchers and reviewers.

Answer (b): The passage calls this a "conventional belief", which Anderson's research discredits.

Revise: Reading Comprehension (Class 11 notes)

1. awords
2. bimage
3. cmeaning
4. dword and images

Answer (c): The passage says children muse upon the meaning of what they see, not merely absorb words and images.

Revise: Reading Comprehension (Class 11 notes)

1. acinematic techniques
2. brapid reading
3. cnatural disaster
4. dnews reports

Answer (a): The passage says television relies on cinematic techniques such as montage and crosscutting.

Revise: Reading Comprehension (Class 11 notes)

1. ainferencing
2. bdrawing
3. creading
4. dthinking

Answer (a): Children learn to draw inferences about time, character and implied events from TV techniques.

Revise: Reading Comprehension (Class 11 notes)

1. aIf A and B are disjoint
2. bIf A and B are intersecting
3. c$A\subset B$
4. d$A\supset B$

Answer (a): $n(A\cup B)=n(A)+n(B)-n(A\cap B)$, so the last term must be 0, meaning the sets are disjoint.

Revise: Algebra (Class 11 notes)

1. a25
2. b30
3. c90
4. d20

Answer (d): The complement has $120-100=20$ elements.

Revise: Algebra (Class 11 notes)

1. a5520.50
2. b525.5
3. c4802.5
4. d3697.5

Answer (c): Pay $4250\times1.13=4802.5$.

Revise: Algebra (Class 11 notes)

1. a585
2. b580
3. c590
4. d600

Answer (a): $67275\div115=585$ US dollars.

Revise: Algebra (Class 11 notes)

1. a4
2. b6
3. c8
4. d10

Answer (b): $g(2)=3$, then $f(3)=6$.

Revise: Algebra (Class 11 notes)

1. aRs. 1528
2. bRs. 1628
3. cRs. 1728
4. dRs. 1828

Answer (c): Monthly saving is 20% of 720 $=144$; yearly $144\times12=1728$.

Revise: Algebra (Class 11 notes)

1. a20%
2. b25%
3. c30%
4. d15%

Answer (b): Let SP of 12 = CP of 15 = 15. Then CP of 12 = 12, gain $=3$, gain% $=3/12\times100=25%$.

Revise: Algebra (Class 11 notes)

1. a84 cm
2. b86 cm
3. c88 cm
4. d90 cm

Answer (c): Area $=\frac12(44\times28)=616$, so $\pi r^2=616$ gives $r=14$; $C=2\pi r=2\cdot\frac{22}{7}\cdot14=88$ cm.

Revise: Algebra (Class 11 notes)

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

Answer (d): Height $=\text{volume}/\text{base area}=96/24=4$ m.

Revise: Algebra (Class 11 notes)

1. a$8/3$ cm
2. b$8/5$ cm
3. c$8/7$ cm
4. d1 cm

Answer (b): $r=175$ cm, base area $=\frac{22}{7}\times175^2=96250$ cm$^2$. Decrease $=154000/96250=1.6=8/5$ cm.

Revise: Algebra (Class 11 notes)

1. a10
2. b12
3. c14
4. d16

Answer (a): Parts total 7, so one part is 5; the smaller number is $2\times5=10$.

Revise: Algebra (Class 11 notes)

1. a$1/49$
2. b$1/7$
3. c$1/25$
4. d$1/29$

Answer (a): $343=7^3$, so $343^{-2/3}=7^{-2}=1/49$.

Revise: Algebra (Class 11 notes)

1. a$1/2$
2. b$3/2$
3. c$5/2$
4. d1

Answer (b): $9^{2x-1}=3^{4x-2}$, so $2x+1=4x-2$, giving $x=3/2$.

Revise: Algebra (Class 11 notes)

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

Answer (b): Favourable: 3 and 6, so $2/6=1/3$.

Revise: Statistics and Probability (Class 11 notes)

1. a$\frac13$
2. b3
3. c4
4. d5

Answer (a): Multiples of 3: 3, 6, 9, 12, 15, which is 5 numbers, so $5/15=1/3$.

Revise: Statistics and Probability (Class 11 notes)

1. a4 parts
2. b6 parts
3. c8 parts
4. d3 parts

Answer (c): The three coordinate planes make 8 octants.

Revise: Analytic geometry (Class 12 notes)

1. aparallelogram
2. brectangle
3. csquare
4. drhombus

Answer (d): Area of a rhombus is $\frac12 d_1d_2$.

Revise: Algebra (Class 11 notes)

1. a2 cm
2. b3 cm
3. c4 cm
4. d6 cm

Answer (c): Height $=24/6=4$ cm.

Revise: Algebra (Class 11 notes)

1. a7 cm
2. b8 cm
3. c14 cm
4. d28 cm

Answer (c): Base $=2\times56/8=14$ cm.

Revise: Algebra (Class 11 notes)

1. a$\begin{pmatrix}3&-2\-4&3\end{pmatrix}$
2. b$\begin{pmatrix}-3&2\4&-3\end{pmatrix}$
3. c$\begin{pmatrix}-3&2\-4&3\end{pmatrix}$
4. d$\begin{pmatrix}1&0\0&1\end{pmatrix}$

Answer (a): $|A|=9-8=1$, so $A^{-1}=\begin{pmatrix}3&-2\-4&3\end{pmatrix}$.

Revise: Algebra (Class 11 notes)

1. asingular matrix
2. bzero matrix
3. cnon-singular matrix
4. didentity matrix

Answer (a): A matrix with zero determinant is singular.

Revise: Algebra (Class 11 notes)

1. aPythagoras
2. bNewton
3. cGauss
4. dEuclid

Answer (c): The story of summing 1 to 100 quickly is credited to Gauss.

1. a1
2. b2
3. c1.555
4. d1.7555

Answer (b): Infinite GP: $S=\frac{a}{1-r}=\frac{1}{1-1/2}=2$.

Revise: Algebra (Class 11 notes)

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

Answer (c): A.M. $=\frac{(x-3)+(x+5)}{2}=x+1$.

Revise: Algebra (Class 11 notes)

1. a$\frac{\sqrt3+1}{2\sqrt2}$
2. b$\frac{\sqrt3-1}{2\sqrt2}$
3. c$\frac{\sqrt3+2}{2\sqrt2}$
4. d$\frac{\sqrt3+1}{\sqrt2}$

Answer (a): $\sin(45+30)=\frac{1}{\sqrt2}\cdot\frac{\sqrt3}{2}+\frac1{\sqrt2}\cdot\frac12=\frac{\sqrt3+1}{2\sqrt2}$.

Revise: Trigonometry (Class 11 notes)

1. a7
2. b8
3. c9
4. d10

Answer (c): Sum $=54$, divided by 6 gives 9.

Revise: Statistics and Probability (Class 11 notes)

1. a$45^\circ$
2. b$60^\circ$
3. c$75^\circ$
4. d$90^\circ$

Answer (d): Slopes are $2/3$ and $-3/2$; their product is $-1$, so the lines are perpendicular.

Revise: Analytic geometry (Class 11 notes)

1. a0
2. b1
3. c-1
4. d1/2

Answer (b): Put $t=x-a\to0$; $\sin t/t\to1$.

Revise: Calculus (Class 11 notes)

1. a$\sec^2x$
2. b$\sec x$
3. c$\sec x\tan x$
4. d$\cot x$

Answer (a): Standard result: $\frac{d}{dx}\tan x=\sec^2x$.

Revise: Calculus (Class 11 notes)

1. a9
2. b0
3. c6
4. d1

Answer (c): Factor: $\frac{(x-3)(x+3)}{x-3}=x+3$, which tends to $6$ as $x\to3$. The text version of this question was mis-transcribed as $x\to a$; the scan shows $x\to3$.

Revise: Calculus (Class 11 notes)

1. a$(1,2)$
2. b$(2,1)$
3. c$(-2,1)$
4. d$(2,-1)$

Answer (d): Reflection in $y=x$ swaps coordinates, giving $(2,-1)$.

Revise: Analytic geometry (Class 11 notes)

1. a$i$
2. b$-1$
3. c1
4. d$-i$

Answer (a): $i^{101}=(i^4)^{25}\cdot i=i$.

Revise: Algebra (Class 11 notes)

1. a$2^{2n}$
2. b$2n$
3. c$2^n$
4. d$n^2$

Answer (c): Each element is in or out, giving $2^n$ subsets.

Revise: Algebra (Class 11 notes)

1. a$1/2$
2. b0
3. c$-1/2$
4. d$3/2$

Answer (b): $\sin180^\circ=0$.

Revise: Trigonometry (Class 11 notes)

1. a$(-4,2)$
2. b$(-2,1)$
3. c$(2,-1)$
4. d$(2,1)$

Answer (c): Centre $=(-g,-f)$ with $2g=-4$, $2f=2$, so $(2,-1)$.

Revise: Analytic geometry (Class 11 notes)

1. a$\frac{\sqrt3}{2}a^2$
2. b$\frac{\sqrt3}{4}a^2$
3. c$\frac34a^2$
4. d$\frac14a^2$

Answer (b): Standard formula $\frac{\sqrt3}{4}a^2$.

Revise: Algebra (Class 11 notes)

1. a$45^\circ$
2. b$60^\circ$
3. c$75^\circ$
4. d$30^\circ$

Answer (b): $360^\circ/6=60^\circ$.

Revise: Algebra (Class 11 notes)

1. a$100^g$
2. b$200^g$
3. c$300^g$
4. d$400^g$

Answer (c): $90^\circ=100^g$, so $270\times\frac{10}{9}=300^g$.

Revise: Trigonometry (Class 11 notes)

1. a100 m
2. b75 m
3. c50 m
4. d40 m

Answer (a): The paper prints the distance as 1000 m, a misprint for 100 m (the options are 100, 75, 50 and 40 m). With $\tan45^\circ=1$, height equals distance, so the height is 100 m.

Revise: Trigonometry (Class 11 notes)

1. a$0^\circ$
2. b$90^\circ$
3. c$60^\circ$
4. d$45^\circ$

Answer (d): $\tan\theta=1$, so $\theta=45^\circ$.

Revise: Trigonometry (Class 11 notes)

1. a$-x$
2. b$x$
3. c0
4. d1

Answer (b): For positive $x$, the absolute value is $x$ itself.

Revise: Algebra (Class 11 notes)

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

Answer (b): It gives 1 for $x>0$ and $-1$ for $x<0$ ($x=0$ is excluded).

Revise: Algebra (Class 11 notes)

1. a$U-A$
2. b$A'$
3. c$A$
4. d$U'$

Answer (c): The complement of a complement returns the original set.

Revise: Algebra (Class 11 notes)

1. a81
2. b243
3. c729
4. d2187

Answer (c): $ar^{5}=3\cdot3^5=3^6=729$.

Revise: Algebra (Class 11 notes)

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

Answer (d): $2n$ is even, so $2n+1$ is always odd.

Revise: Algebra (Class 11 notes)

1. athe perpendiculars from the vertices to opposite sides meet
2. bmedians meet
3. cbisectors of each angle meet
4. dperpendicular bisectors of each side meet

Answer (b): Medians meet at the centroid.

Revise: Analytic geometry (Class 11 notes)

1. aNull set
2. bFinite set
3. cInfinite set
4. dset with two elements

Answer (a): Roots are $-1$ and $-2$, neither a natural number, so the set is empty.

Revise: Algebra (Class 11 notes)

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

Answer (a): $a^2-b^2=(a+b)(a-b)$ and $a^2+2ab+b^2=(a+b)^2$; the common factor is $a+b$.

Revise: Algebra (Class 11 notes)

1. aportable document format
2. bpermanent document formats
3. cpartial document format
4. dpartial document formation

Answer (a): PDF stands for Portable Document Format.

Revise: Computer System (Class 11 notes)

1. aNapier's Bone
2. bAbacus
3. cSlide rule
4. dDifference Engine

Answer (b): The abacus is the oldest of these (thousands of years old).

Revise: Computer System (Class 11 notes)

1. a8848.86 m
2. b8848.05 m
3. c8848 m
4. d8850 m

Answer (a): The joint Nepal-China measurement of December 2020 gave 8848.86 m.

1. aAmar Neupane
2. bBuddhi Sagar
3. cParijat
4. dLaxmi Prasad Devkota

Answer (b): Karnali Blues was written by Buddhisagar.

1. aNarayan Khadka
2. bPrem Ale
3. cDevendra Paudel
4. dBal Krishna Khadka

Answer (c): At the time of the exam (2078, Deuba cabinet), Devendra Paudel held the Education portfolio.

1. aSerpentes
2. bCercopithecidae
3. cAnura
4. dHomo sapiens

Answer (c): Frogs belong to order Anura.

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): Traditionally the Nile (about 6,650 km) is listed as the longest; some recent measurements argue for the Amazon.