BCA Entrance Exam 2079 (2022 AD) Questions with Answers

1. aover
2. bwith
3. con
4. din

Answer (a): The noun "authority" takes the preposition "over" (authority over someone).

Revise: Grammar and Usage (Class 11 notes)

1. ain
2. bby
3. cat
4. don

Answer (d): Use "on" with a specific date.

Revise: Grammar and Usage (Class 11 notes)

1. aon
2. bat
3. cto
4. dwith

Answer (c): The usual phrase is "turn to the left/your left".

Revise: Grammar and Usage (Class 11 notes)

1. afor
2. bfrom
3. cto
4. dsince

Answer (d): "Since" goes with a point in time (last Monday) in present perfect continuous.

Revise: Grammar and Usage (Class 11 notes)

1. aat
2. bby
3. cin
4. don

Answer (c): "In a month's time" means after one month from now.

Revise: Grammar and Usage (Class 11 notes)

1. aa
2. ban
3. cthe
4. dnone

Answer (c): Names of oceans take "the".

Revise: Grammar and Usage (Class 11 notes)

1. aa
2. ban
3. cthe
4. dnone

Answer (a): "Doctor" begins with a consonant sound, and the profession is non-specific, so "a".

Revise: Grammar and Usage (Class 11 notes)

1. aa
2. ban
3. cthe
4. dnone

Answer (c): A particular doctor known to both speakers needs "the".

Revise: Grammar and Usage (Class 11 notes)

1. aa
2. ban
3. cthe
4. dnone

Answer (c): Directions used as regions take "the": the north of Italy.

Revise: Grammar and Usage (Class 11 notes)

1. aa
2. ban
3. cthe
4. dnone

Answer (c): Superlatives take "the".

Revise: Grammar and Usage (Class 11 notes)

1. asolve
2. bsolving
3. csolves
4. dsolved

Answer (a): "Help" is followed by a bare infinitive or "to" infinitive: solve.

Revise: Grammar and Usage (Class 11 notes)

1. aanswered
2. banswer
3. canswering
4. danswers

Answer (b): "Make" + object takes a bare infinitive: answer.

Revise: Grammar and Usage (Class 11 notes)

1. adone
2. bdoing
3. cdo
4. dto doing

Answer (c): "Have someone do something" uses the bare infinitive.

Revise: Grammar and Usage (Class 11 notes)

1. afixing
2. bfixed
3. cto fix
4. dfix

Answer (b): "Get something done" takes the past participle: fixed.

Revise: Grammar and Usage (Class 11 notes)

1. ato complete
2. bcompleted
3. ccomplete
4. dcompleting

Answer (a): "Get someone to do something" uses the to-infinitive.

Revise: Grammar and Usage (Class 11 notes)

1. adid he
2. bdidn't he
3. chadn't he
4. dnone

Answer (b): A positive past statement takes a negative tag with "did": didn't he?

Revise: Grammar and Usage (Class 11 notes)

1. awill you
2. bwon't you
3. ccan't you
4. ddon't you

Answer (a): Imperative sentences take "will you?" as the tag.

Revise: Grammar and Usage (Class 11 notes)

1. aaren't we
2. baren't I
3. caren't you
4. dall possible

Answer (a): The subject "you and I" equals "we", so the tag is "aren't we?".

Revise: Grammar and Usage (Class 11 notes)

1. aIsn't they
2. baren't they
3. cisn't everyone
4. daren't everyone

Answer (b): The tag for "everyone" uses the pronoun "they", and the verb is "are": aren't they?

Revise: Grammar and Usage (Class 11 notes)

1. amay come
2. bwill come
3. ccan come
4. dwould come

Answer (d): After "wish" for a future wish, we use "would".

Revise: Grammar and Usage (Class 11 notes)

1. aeat
2. bto eating
3. ceaten
4. deating

Answer (d): "Get used to" is followed by a gerund: eating.

Revise: Grammar and Usage (Class 11 notes)

1. ait
2. bit's
3. ctheir
4. dits

Answer (d): The possessive form of "it" is "its" (no apostrophe).

Revise: Grammar and Usage (Class 11 notes)

1. athemselves
2. bherself
3. chimself
4. dourselves

Answer (b): The reflexive pronoun matches the subject "She": herself.

Revise: Grammar and Usage (Class 11 notes)

1. agooses
2. bgoosees
3. cgeese
4. dgooses

Answer (c): Irregular plural: goose becomes geese.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. alove
2. bhate
3. cprove
4. dnone

Answer (a): Detest means to hate strongly; the opposite is love.

Revise: Vocabulary and Word Formation (Class 11 notes)

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

Answer (c): un-der-STAND: the stress falls on the third syllable.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aPrologue
2. bepilogue
3. cdialogue
4. dmonologue

Answer (b): An epilogue is a closing speech, as opposed to a prologue.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aHe said that what a beautiful scene it was
2. bHe exclaimed what a beautiful scene it was
3. cHe exclaimed what a beautiful scene it were.
4. dHe exclaimed that it was a beautiful dress.

Answer (b): An exclamation is reported with "exclaimed" and normal word order: what a beautiful scene it was.

Revise: Grammar and Usage (Class 11 notes)

1. aHe congratulated me.
2. bHe told me congratulations.
3. cHe said congratulations.
4. dHe wished me congratulations.

Answer (a): A congratulation is reported with the verb "congratulated".

Revise: Grammar and Usage (Class 11 notes)

1. aIt is done
2. bIt is being done
3. cIt was done
4. dIt has been done

Answer (c): Simple past active becomes "was/were + past participle".

Revise: Grammar and Usage (Class 11 notes)

1. aworks
2. bwork
3. cwill work
4. dhad worked

Answer (b): First conditional: if + present simple, so "work".

Revise: Grammar and Usage (Class 11 notes)

1. alasting and irreparable
2. blike the friendship in modern societies
3. cborn out of solitude
4. dinspired by the beauties of nature

Answer (a): The passage says the friendship formed in the mountains is lasting and irreplaceable.

Revise: Reading Comprehension (Class 11 notes)

1. afailures
2. bsuccess
3. cdangers
4. d1, 2, and 3 together

Answer (d): The passage mentions sharing failure as well as success, danger as well as safety.

Revise: Reading Comprehension (Class 11 notes)

1. aYou will meet him at the party afterward
2. bYou will have really appreciated the beauty later
3. cYou will get tired easily
4. dYou will have an irreplaceable foundation for a friend.

Answer (d): The passage says this gives an almost impregnable foundation for friendship.

Revise: Reading Comprehension (Class 11 notes)

1. aThat which cannot be overcome or taken by force.
2. bThat which exhibits a lot of strength.
3. cThat which lasts forever.
4. dThat which is very impressive.

Answer (a): Impregnable means too strong to be captured or overcome.

Revise: Vocabulary and Word Formation (Class 11 notes)

1. aWalked on feathers with someone.
2. bWalked on someone on the edge of danger.
3. cWalked together with feather-like steps
4. dWalked where the dividing line between danger and safety.

Answer (d): It is an idiom for going through real risk together, on the thin line between danger and safety.

Revise: Reading Comprehension (Class 11 notes)

1. a45
2. b50
3. c55
4. d60

Answer (c): The complement of $A\cap B$ has $70-15=55$ elements.

Revise: Algebra (Class 11 notes)

1. aFinite set
2. bInfinite set
3. cNull set
4. dSingleton set

Answer (b): Natural numbers never end, so the set is infinite.

Revise: Algebra (Class 11 notes)

1. a26
2. b58
3. c32
4. d6

Answer (b): The union is largest when the sets are disjoint: $26+32=58$.

Revise: Algebra (Class 11 notes)

1. a7550
2. b7650
3. c7750
4. d7850

Answer (b): $8500\times0.9=7650$.

Revise: Algebra (Class 11 notes)

1. a750
2. b650
3. c700
4. d850

Answer (c): $117150\div106.5=1100$ dollars; then $1100\times\frac{7}{11}=700$ pounds.

Revise: Algebra (Class 11 notes)

1. a9%
2. b10%
3. c12%
4. d14%

Answer (b): Cost $=10000$, so profit% $=1000/10000\times100=10%$.

Revise: Algebra (Class 11 notes)

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

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

Revise: Algebra (Class 11 notes)

1. a$7.8,cm^2$
2. b$8.8,cm^2$
3. c$9.8,cm^2$
4. d$10.8,cm^2$

Answer (c): $s=8$; area $=\sqrt{8\cdot4\cdot3\cdot1}=\sqrt{96}\approx9.8$.

Revise: Algebra (Class 11 notes)

1. a$1848,cm^3$
2. b$1748,cm^3$
3. c$1648,cm^3$
4. d$1548,cm^3$

Answer (a): $V=\pi r^2h=\frac{22}{7}\times49\times12=1848$.

Revise: Algebra (Class 11 notes)

1. a$450,cm^2$
2. b$460,cm^2$
3. c$462,cm^2$
4. d$472,cm^2$

Answer (c): $3\pi r^2=3\times\frac{22}{7}\times49=462$.

Revise: Algebra (Class 11 notes)

1. a16 cm
2. b17 cm
3. c18 cm
4. d19 cm

Answer (c): $\frac13\cdot\frac{22}{7}\cdot196\cdot h=3696$, so $h=3696\cdot21/(22\cdot196)=18$.

Revise: Algebra (Class 11 notes)

1. a0
2. b1
3. c3
4. d9

Answer (b): $3^{2x}=9=3^2$, so $2x=2$ and $x=1$.

Revise: Algebra (Class 11 notes)

1. a1
2. b-1
3. c2
4. d-2

Answer (a): $\frac32\div\frac32=1$.

Revise: Algebra (Class 11 notes)

1. aparallel
2. bperpendicular
3. cintersecting
4. dnon-intersecting

Answer (c): Slopes are 1 and 2 (different), so they cross at one point: $x=12$, $y=8$. They are not at right angles ($1\cdot2\ne-1$).

Revise: Analytic geometry (Class 11 notes)

1. a14, 1
2. b11, 4
3. c12, 3
4. d10, 5

Answer (d): Larger $=(15+5)/2=10$, smaller $=(15-5)/2=5$.

Revise: Algebra (Class 11 notes)

1. a10, 20
2. b25, 5
3. c12, 18
4. d17, 13

Answer (a): $x+2x=30$ gives $x=10$, so the numbers are 10 and 20.

Revise: Algebra (Class 11 notes)

1. a2, 4
2. b4, 6
3. c6, 8
4. d8, 10

Answer (c): $6^2+8^2=36+64=100$.

Revise: Algebra (Class 11 notes)

1. a11
2. b14
3. c12
4. d13

Answer (d): $x^2-17=152$ gives $x^2=169$, so $x=13$.

Revise: Algebra (Class 11 notes)

1. a150
2. b175
3. c200
4. d210

Answer (d): $\frac{n(n+1)}{2}=\frac{20\cdot21}{2}=210$.

Revise: Algebra (Class 11 notes)

1. a$\frac{11}{12}$
2. b$\frac{12}{13}$
3. c$\frac{13}{14}$
4. d$\frac{14}{15}$

Answer (c): Numerators go 1, 4, 7 (add 3), denominators 2, 5, 8 (add 3); the 5th is $\frac{13}{14}$.

Revise: Algebra (Class 11 notes)

1. a6
2. b3
3. c8
4. d9

Answer (d): $f(3)=2(3)+3=9$.

Revise: Algebra (Class 11 notes)

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

Answer (a): At $x=-1$: $-1-4-1+6=0$, so $(x+1)$ is a factor.

Revise: Algebra (Class 11 notes)

1. a2
2. b3
3. c1
4. d4

Answer (a): $S=\frac{1}{1-\frac12}=2$.

Revise: Algebra (Class 11 notes)

1. a50
2. b52
3. c53
4. d55

Answer (d): $1+4+9+16+25=55$.

Revise: Algebra (Class 11 notes)

1. a45 m
2. b50 m
3. c55 m
4. d60 m

Answer (a): $h=45\tan45^\circ=45$ m.

Revise: Trigonometry (Class 11 notes)

1. a1
2. b-1
3. c2
4. d-2

Answer (b): $m_1m_2=-1$ for perpendicular lines.

Revise: Analytic geometry (Class 11 notes)

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

Answer (d): They share $x=2$, so the distance is $|5-1|=4$.

Revise: Analytic geometry (Class 11 notes)

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

Answer (a): A line parallel to the y-axis is $x=$ constant, here $x=3$.

Revise: Analytic geometry (Class 11 notes)

1. a45 degree
2. b60 degree
3. c90 degree
4. d180 degree

Answer (c): Angle in a semicircle is a right angle.

Revise: Algebra (Class 11 notes)

1. aAngle at the centre is double the angle at the circumference
2. bAngle at the circumference is double the angle at the centre
3. cBoth angles are equal
4. dThere is no relation between them

Answer (a): Standard circle theorem: central angle is twice the angle at the circumference.

Revise: Algebra (Class 11 notes)

1. aBoth are equal in area
2. bArea of the parallelogram is double the area of the triangle
3. cArea of the triangle is double the area of the parallelogram.
4. dArea between them can't be compared

Answer (b): A triangle on the same base and between the same parallels has half the area of the parallelogram.

Revise: Algebra (Class 11 notes)

1. a90
2. b180
3. c270
4. d360

Answer (d): Every quadrilateral has an angle sum of $360^\circ$.

Revise: Algebra (Class 11 notes)

1. a$40^\circ$
2. b$80^\circ$
3. c$50^\circ$
4. d$25^\circ$

Answer (d): The paper prints $\angle OPT$ as $140^\circ$, a misprint for $40^\circ$ (the figure shows $40^\circ$ at P). The tangent is perpendicular to the radius, so $\angle OTP=90^\circ$ and $\angle POT=180-90-40=50^\circ$. The angle at the circumference on arc DT is half the angle at the centre: $x=\frac12\cdot50^\circ=25^\circ$.

Revise: Algebra (Class 11 notes)

1. a$30^\circ$
2. b$40^\circ$
3. c$50^\circ$
4. d$60^\circ$

Answer (d): The triangle with the centre has base angles $30^\circ$, so $x=180-60=120^\circ$. The angle at the circumference on the same chord is half of it: $y=60^\circ$.

Revise: Algebra (Class 11 notes)

1. a0
2. b1
3. c-1
4. d2

Answer (a): A singular matrix has zero determinant.

Revise: Algebra (Class 11 notes)

1. a0
2. b1
3. c-1
4. d$\infty$

Answer (d): $\tan\theta=\sin\theta/\cos\theta$ and $\cos90^\circ=0$, so it is undefined (infinite).

Revise: Trigonometry (Class 11 notes)

1. a50
2. b42
3. c52
4. d55

Answer (b): Union $=120-20=100$; both $=80+62-100=42$.

Revise: Algebra (Class 11 notes)

1. a$|x-2|<5$
2. b$|x-2|<7$
3. c$|x-2|<9$
4. d$|x+2|<5$

Answer (b): Midpoint is $2$ and half-width is $7$, so $|x-2|<7$.

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. a4
2. b3
3. c5
4. d9

Answer (c): $r^2=25$, so $r=5$.

Revise: Analytic geometry (Class 11 notes)

1. a$25\sqrt2$
2. b$4\sqrt3$
3. c0
4. d60

Answer (a): $2\cdot8\sqrt2+9\sqrt2=25\sqrt2$.

Revise: Algebra (Class 11 notes)

1. a60000
2. b40000
3. c20000
4. d10000

Answer (d): Courtyard $=550\times400=220000,cm^2$; $220000/22=10000$.

Revise: Algebra (Class 11 notes)

1. aRs. 280
2. bRs. 360
3. cRs. 560
4. dRs. 144

Answer (a): $5600\times5/100=280$.

Revise: Algebra (Class 11 notes)

1. a12%
2. b20%
3. c5%
4. d38%

Answer (a): $696/5800\times100=12%$.

Revise: Algebra (Class 11 notes)

1. aequal
2. bnot exist
3. crational
4. dimaginary

Answer (a): A zero discriminant gives two equal real roots.

Revise: Algebra (Class 11 notes)

1. a$A.M.=ab$
2. b$H.M.=\frac{2ab}{a+b}$
3. c$H.M.=\frac{a+b}{2}$
4. dnone of these

Answer (b): The harmonic mean of $a$ and $b$ is $\frac{2ab}{a+b}$.

Revise: Algebra (Class 11 notes)

1. a0
2. b1
3. c-1
4. dNot exists

Answer (b): Standard limit equal to 1.

Revise: Calculus (Class 11 notes)

1. aWell Wired Work
2. bWorld Web Wide
3. cWorld Wide Web
4. dWord Windows Work

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

Revise: Web Technology I (Class 11 notes)

1. aMouse
2. bLight Pen
3. cPrinter
4. dScanner

Answer (c): A printer outputs information, so it is an output device.

Revise: Computer System (Class 11 notes)

1. aFriday
2. bThursday
3. cWednesday
4. dSunday

Answer (a): Three days after Saturday is Tuesday, which is three days before today, so today is Friday.

1. aFather
2. bBrother
3. cGrandfather
4. dUncle

Answer (d): A's son is D's brother, so D is A's daughter, and C (D's sister) is also A's daughter. B is A's brother, so B is C's uncle.

1. a147,516 km$^2$
2. b147,316 km$^2$
3. c147,416 km$^2$
4. d147,616 km$^2$

Answer (a): Nepal's area is officially 147,516 sq. km.

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

Answer (c): Palpasa Cafe (2005) was written by Narayan Wagle.

1. a34
2. b31
3. c35
4. d32

Answer (d): The 2022 World Cup in Qatar had 32 teams.

1. a3.98°
2. b3.76°
3. c3.70°
4. d3.50°

Answer (a): Pure water is densest at about 3.98 degrees C (commonly stated as 4 degrees C).

1. aTanahun
2. bMakawanpur
3. cNawalparasi
4. dGorkha

Answer (c): Shashwat Dham is at Triveni, Nawalparasi.