BCA Entrance Examination 2080

Question 1 of 100

He asked, "What is your name?"

A. He asked what my name is. B. He asked what my name was. C. He asked what my was my name. D. He asked what were my name.

Question 2 of 100

If I had met him, I ..........him easily.

A. would recognize B. would have recognize C. would have recognized D. recognizes

Question 3 of 100

My parents always make me ........homework.

A. to do B. do C. done D. did

Question 4 of 100

The misspelled word is........

A. separate B. recommendation C. accommodation D. anxietie

Question 5 of 100

Nobody was absent in the exam, .......?

A. weren't they B. were they C. was he D. wasn't he

Question 6 of 100

She looks as if.......

A. she is an actress B. actress C. famous D. acting

Question 7 of 100

The actress performed well. The word 'well' is a....

A. verb B. noun C. adjective D. adverb

Question 8 of 100

School education should enhance creativity.The word 'creativity' is a.......

A. concrete noun B. abstract noun C. collective noun D. countable noun

Question 9 of 100

In the word punishment, the 'ment' is......

A. Suffix B. Prefix C. Root word D. New word

Question 10 of 100

He has been teaching...... a long time.

A. for B. since C. in D. at

Question 11 of 100

Prem is on holiday. He ...... to Ilam.

A. has go B. has gone C. went D. has been going

Question 12 of 100

The wh. question of "She dances well" is ......

A. Who dances? B. Why does she dance? C. How does she dance? D. How does she dance?

Question 13 of 100

I have ........headache.

A. an B. a C. the D. none of above

Question 14 of 100

I wish I ...... BCA entrance exam.

A. pass B. can pass C. would pass D. will pass

Question 15 of 100

What is the passive voice of 'Nadine Gordimer wrote The Conservationist.

A. The Conservationist was written by 'Nadine Gordimer. B. The Conservationist has been written by'Nadine Gordimer. C. The Conservationist written by 'Nadine Gordimer. D. The Conservationist was wrote by 'Nadine Gordimer.

Question 16 of 100

........... the hard labor, she was successful.

A. because B. because of C. although D. despite

Question 17 of 100

As soon as he opened the fridge, he ......... some oranges.

A. had seen B. saw C. has seen D. sees

Question 18 of 100

The driver and mechanic ....... intelligent enough to handle the problem.

A. are B. is C. have D. has

Question 19 of 100

He is weak, and he is still in bed. He has not stopped medicines.......

A. either B. neither C. either or D. neither nor

Question 20 of 100

It was raining very.........

A. heavy B. heavily C. with heavy D. with heavily

Question 21 of 100

Which one is correct?

A. I visit him in the supermarket sometimes. B. I visit him sometimes in the supermarket. C. I visit sometimes him in the supermarket. D. I sometimes visit him in the supermarket.

Question 22 of 100

Travelling to the remote places....... important because it is adventurous.

A. is B. are C. was D. wer

Question 23 of 100

The word resemblance means........

A. lasting only for a short time B. the state of being alike C. victory over a place or people by use ofmilitary force D. liquid that is believed to cure all ills

Question 24 of 100

I went to see the film, but I..............it.

A. do not enjoy B. did not enjoy C. has not enjoyed D. enjoyed

Question 25 of 100

Are you ........ in technical subject?

A. interesting B. interested C. interest D. all of them

Question 26 of 100

I'll tell your parents what you did. The language function in this sentence is.......

A. Deciding B. Threatening C. Predicting a future action D. Promising

Question 27 of 100

Everyone...... problems in their life.

A. has B. have C. had D. has had

Question 28 of 100

Collin studied Science reluctantly due to her father's pressure. It means

A. Collin was eager to read Science. B. Collin was not eager to read Science. C. Collin was eager to read Science for father D. Collin was eager to read not Science but Math.

Question 29 of 100

.......the fact that he is an octogenarian; he still leads an active life.

A. however B. although C. in spite of D. because

Question 30 of 100

You look tired. You.......to the bed.

A. can go B. should go C. will go D. may

Question 31 of 100

The monkey has ..... leg hurt.

A. its B. it's C. its' D. it

Question 32 of 100

That's the house...... I was born.

A. there B. where C. that D. which

Question 33 of 100

Krishna could not ...... the branch off the tree.

A. break B. brake C. broke D. breek

Question 34 of 100

'The Selfish Giant' is a short story for children written by

A. Oscar Wilde B. Leo Tolstoy C. Chinua Achebe D. R.K. Narayan

Question 35 of 100

Why are you bringing that argument ...... now?

A. up B. into C. to D. about

Question 36 of 100

Read the passage and then choose the best answer to each question that follows. (Q. 36 to 40) But it is not always easy to find out what our colleagues are doing behind those closed classroom doors. Ironically, according to Parker J. Palmer, "Teaching is perhaps the most privatized of all the public professions.Though we teach in front of students, we almost always teach solo, out of collegial sight- as contrasted with surgeons or lawyers, who work in the presence of others who know their craft well. When we walk into our workplace,the classroom, we close the door on our colleagues. When we emerge, we rarely talk about what happened or what needs to happen next, for we have no shared experience to talk about." Some of that privatization is now breaking down in the United State because of widespread use of the internet to circulate syllabi and to publish student course evaluations. In the UK, since the Dearing Report of 1997, centralized (and much hated)teaching assessment requirements instituted by the Labor government and the Institute for Learning and Teaching (ILT) have made teaching in higher education very public, at the cost of a great deal of bureaucracy and regimentation. What is the problem of teaching according to Palmer?

A. Teaching as public profession B. Teaching as private profession C. Teaching as dream D. Teaching as anxiety

Question 37 of 100

According to passage, teachers prefer to …….

A. teach in isolation B. teach in collaboration with other teachers C. teach sharing experiences D. teach in semester class

Question 38 of 100

The privatization is now breaking down in the United State because of.......

A. Internet B. online classes C. higher education D. new syllabus

Question 39 of 100

The word 'rarely' means

A. always B. sometimes C. seldom D. never

Question 40 of 100

'We' of the fourth line of the passage refers to......

A. Lawyers B. Surgeons C. Teachers D. All of them

Question 41 of 100

If n(A)=30, n(B)=50, n(U)= 60 and n(AUB)=55 then sum of n(A - B) and n(B - A)is equal to

A. 45 B. 50 C. 55 D. 30

Question 42 of 100

The sum of natural numbers from 1 to 20 is

A. $\frac{20×21}{2}$ B. $\frac{19×21}{2}$ C. $\frac{1×20}{2}$ D. 200

Question 43 of 100

If n(A)=26 and n(B)=32 then the maximum value of n(A∩B) is

A. 26 B. 58 C. 32 D. 6

Question 44 of 100

For some integer n, which of the following form is always an odd integer?

A. n B. n+1 C. 2n D. 2n+1

Question 45 of 100

The range of the function f(x) = √(x - 1) is

A. [1,∞) B. (−∞,+∞) C. (−1,∞) D. [0,∞)

Question 46 of 100

To exist infinite sum of the geometric series its ratio should be

A. less than 0 B. less than -1 C. between 1 and -1 D. greater than 1

Question 47 of 100

The complement of an angle is 20° (20 degrees) less than 4 times the angle, then the angle is

A. 38 B. 90 C. 22 D. 70

Question 48 of 100

If the quadratic equation is $x^{2}$ + x + 1 = 0 then the value of x = ............

A. $\frac{−1±𝑖√3}{2}$ B. $\frac{−1−𝑖√3 }{2}$ C. $\frac{−1±𝑖√2}{2}$ D. $\frac{−1+𝑖√3}{2}$

Question 49 of 100

A function is defined as f(x) = $\frac{3x +1}{ 4}$ then the inverse of this function if it exists is

A. $\frac{4x-1}{3}$ B. $\frac{4x+1}{3}$ C. $\frac{3x-1}{4}$ D. $\frac{3x+1}{4}$

Question 50 of 100

One factor of the polynomial $x^{3}$ - $4x^{2}$ + 𝑥 + 6 is (x-2) then the two other factors are ......

A. (𝑥+1)(𝑥−3) B. (𝑥+2)(𝑥−2) C. (𝑥+3)(𝑥−1) D. (𝑥+4)(𝑥+1)

Question 51 of 100

The sum of the infinite series 1 + $\frac{1}{2}$ + $\frac{1}{4}$ + $\frac{1}{8}$ …… is

A. 4 B. 3 C. 2 D. 1

Question 52 of 100

The sum of cubes of the first 6 natural numbers is .........

A. 661 B. 551 C. 441 D. 331

Question 53 of 100

A poll at a distance of 25 meters from the observer makes an angle of 60 degrees from its top. Then the height of the poll is

A. 25 B. 25√3 C. $\frac{25}{2}$ D. 50√3

Question 54 of 100

Marked price of an article is Rs. 8500. If a discount of 10% is allowed the selling price is....

A. 7550 B. 7650 C. 7750 D. 7850

Question 55 of 100

If £ 7= $ 11 and $2= Rs. 213, then how many pound (£) can be exchange for Rs. 117150?

A. 750 B. 650 C. 700 D. 850

Question 56 of 100

A mobile is sold for Rs. 11000, with a profit of Rs. 1000, then the percentage profit is...

A. 9% B. 10% C. 12% D. 14%

Question 57 of 100

If 12 girls or 8 boys can do a piece of work in 3 days, how many days will be required for 4 boys and 6 girls to do the same work?

A. 2 B. 4 C. 5 D. 3

Question 58 of 100

A single equation represented by two straight lines x = 2y and 2x = y is ...

A. $2x^{2}$ - 3𝑥𝑦 + $y^{2}$ = 0 B. $x^{2}$ - 3𝑥𝑦 + $2y^{2}$ = 0 C. $2x^{2}$ - 𝑥𝑦 + $2y^{2}$ = 0 D. $2x^{2}$ - 5𝑥𝑦 + $2y^{2}$ = 0

Question 59 of 100

Two angles subtended by an arc one at the center and the other at the circumference are related as ...

A. The angle at the center is double the angle at the circumference. B. The angle at the circumference is double the angle at the center C. The angle at the center is half the angle at the circumference. D. The angle at the circumference is equal to the angle at the center.

Question 60 of 100

If f(𝑥)=4𝑥, g(𝑥)=𝑥+1 & fog(𝑥) = 20 then the value of x = ………

A. 1 B. 3 C. 2 D. 4

Question 61 of 100

If two children are born in a family find the probability that both are girls

A. $\frac{1}{2}$ B. $\frac{1}{3}$ C. $\frac{1}{4}$ D. $\frac{2}{3}$

Question 62 of 100

The value of tan75° is

A. √3 B. 2+√3 C. 2−√3 D. 2

Question 63 of 100

Sum of 15 terms of an A. P. is 435 and the common difference is 4 then the first term is

A. 4 B. 3 C. 2 D. 1

Question 64 of 100

Which one is the same as log 8

A. log4 +log2 B. log4+ log4 C. 2log4 D. 3log2

Question 65 of 100

If = A $\begin{bmatrix} 2 & 3 \\ -4 & -5 \end{bmatrix}$, B = $\begin{bmatrix} 0 & -3 \\ 2 & 5 \end{bmatrix}$ then$(AB)^{T}$ =

A. $\begin{bmatrix} 6 & -10 \\ 9 & -13 \end{bmatrix}$ B. $\begin{bmatrix} 6 & 10 \\ 9 & -13 \end{bmatrix}$ C. $\begin{bmatrix} 6 & -10 \\ 9 & 13 \end{bmatrix}$ D. $\begin{bmatrix} 6 & -0 \\ 9 & -13 \end{bmatrix}$

Question 66 of 100

If vector $a^{⃗}$ and vector $b^{⃗}$ are defined as $a^{⃗}$= (0,3,4) and $b^{⃗}$ = (2,−2,0) then cosine of the angle between them is

A. $-\frac{3}{√2}$ B. $\frac{3}{√2}$ C. $\frac{3}{5√2}$ D. $-\frac{3}{5√2}$

Question 67 of 100

Harmonic mean between two numbers a and b is

A. $\frac{a+b}{2ab}$ B. $\frac{a-b}{2ab}$ C. $\frac{2ab}{a+b}$ D. $\frac{2ab}{a-b}$

Question 68 of 100

The sum of the first 10 odd numbers is

A. 80 B. 90 C. 123 D. 100

Question 69 of 100

The solution of the equation $x^{2}$+1= 0 in a complex number system is,

A. 1 B. -1 C. 0 D. ±𝑖

Question 70 of 100

The next term of the sequence 1,2,4,7,11,............

A. 15 B. 16 C. 17 D. 22

Question 71 of 100

If f(x) = $x^{2}$− 3𝑥 + 1 & ƒ(2𝑎) = 2f(𝑎) then a =…………..

A. $\frac{1}{√2}$ B. $-\frac{1}{√2}$ C. $\frac{1}{√2}$ or $-\frac{1}{√2}$ D. 1

Question 72 of 100

If x < 0, then the value of |x| is equal to

A. 𝑥 B. -𝑥 C. $x^{2}$ D. $-x^{2}$

Question 73 of 100

The two lines 3𝑥 + 2𝑦 = 5 and 9𝑥 + 6𝑦= 14 have

A. no solution B. unique solution C. infinite solution D. two solution

Question 74 of 100

When a point (3,4) is rotated by 90 degrees in anticlockwise direction and translated by a point (5, -2) the resulting point is

A. (1,1) B. (8,2) C. (-2,6) D. (0,1)

Question 75 of 100

If $2x^{3}$ − $7x^{2}$ + 𝑥 +10= (𝑥−1) 𝑄(𝑥)+R(𝑥) then the value of remainder R(𝑥) is equal to

A. 5 B. 6 C. 7 D. 9

Question 76 of 100

If $5^{x+3}$ = $25^{x}$, then the value of x is

A. 1 B. 2 C. 0 D. 3

Question 77 of 100

If 𝑥 + 𝑦 = 3 & $x^{2}$ + $y^{2}$ = 5, then the value of 𝑥𝑦 is

A. 1 B. 2 C. 3 D. 4

Question 78 of 100

if $m_{1}$ and $m_{2}$ are the slopes of the pair of lines $ax^{2}$ + 2hxy + $by^{2}$ = 0 then the product of $m_{1}$ and $m_{2}$ is ........

A. $\frac{2h}{b}$ B. ab C. a-b D. $\frac{a}{b}$

Question 79 of 100

In the general equation of circle $x^{2}$ + $y^{2}$ + 2gx + 2fy +c =0 the radius of the circle is

A. (g,f) B. (f,g) C. (-g,-f) D. (-f,-g)

Question 80 of 100

The value of 0! Is

A. 0 B. -1 C. 1 D. 2

Question 81 of 100

The value of limit $lim_{x→3}$ $\frac{x^2−9}{x-3}$

A. 5 B. -5 C. 6 D. -6

Question 82 of 100

Derivative of tan x with respect to x is

A. $sin^{2}x$ B. $cos^{2}x$ C. $cosec^{2}x$ D. $sec^{2}x$

Question 83 of 100

A point in a three-dimensional space has its coordinate is (1,2,-2). The distance of this point from the origin is

A. 5 B. 4 C. 1 D. 3

Question 84 of 100

A matrix A has its order 3×4 and matrix B has its order 4×3 then the order of their product AB is

A. 3x3 B. 4x4 C. 4x3 D. 3x4

Question 85 of 100

If transpose of a matrix A is the matrix A itself then A is called

A. identity B. scalar C. symmetric D. skew-symmetric

Question 86 of 100

Sum of the natural numbers $1^{3}$ + $2^{3}$ + $3^{3}$ .....+ $n^{3}$ is

A. $\left[\frac{n(n+1)}{2}\right]^3$ B. $\left[\frac{n(n+1)}{2}\right]^2$ C. $\left[\frac{n(n+1)}{3}\right]^2$ D. $\left[\frac{n(n-1)}{2}\right]^2$

Question 87 of 100

The fifth term of the sequence 1/2 , 4/5 , 7/8 …

A. $\frac{11}{12}$ B. $\frac{12}{13}$ C. $\frac{13}{14}$ D. $\frac{14}{15}$

Question 88 of 100

Radius of the cylinder is 7 cm height is 3 cm then it's volume is

A. 442 $cm^{2}$ B. 452 $cm^{2}$ C. 462 $cm^{2}$ D. 472 $cm^{2}$

Question 89 of 100

If $b^{2}$ − 4𝑎𝑐 = 0 then the roots of $ax^{2}$ + 𝑏𝑥 + 𝑐=0 are:

A. real and equal B. real and unequal C. irrational D. imaginary

Question 90 of 100

A dice is thrown in the air. The probability of getting odd numbers is

A. 1/3 B. 1/2 C. 3/4 D. 2

Question 91 of 100

Which programming language is often used for web development?

A. Java B. Python C. HTML D. C++

Question 92 of 100

What does the abbreviation "URL" stand for in the context of the internet?

A. Uniform Resource Locator B. Universal Routing Language C. Unique Resource Link D. User Registration Link

Question 93 of 100

What is the process by which plants make their own food using sunlight?

A. Respiration B. Photosynthesis C. Digestion D. Fermentation

Question 94 of 100

What is the largest mammal in the world?

A. Elephant B. Blue Whale C. Giraffe D. Rhinoceros

Question 95 of 100

Who is the current Secretary-General of the United Nations as of September 2023?

A. Ban Ki-moon B. Antonio Guterres C. Kofi Annan D. Nikki Haley

Question 96 of 100

Mount Everest, the world's highest peak, is part of which mountain range in Nepal?

A. Annapurna Range B. Langtang Range C. Khumbu Himal D. Dhaulagiri Range

Question 97 of 100

The United Nations Sustainable Development Goals (SDGs) are a global framework aimed at addressing various global challenges, including poverty, inequality, and climate change. How many SDGs are there in total?

A. 12 B. 15 C. 17 D. 20

Question 98 of 100

Which famous mountaineer from Nepal became the first person to climb Mount Everest without supplemental oxygen in 1980?

A. Tenzing Norgay B. Pasang LhamuSherpa C. Reinhold Messner D. Junko Tabei

Question 99 of 100

Who is the captain of the Nepal national football team as of September 2023?

A. Anil Gurung B. Kiran Chemjong C. Bharat Khawas D. Rohit Chand

Question 100 of 100

In recent years, Nepal has been facing challenges related to the conservation of which endangered species?

A. Bengal Tigers B. Snow Leopards C. Red Pandas D. Asian Elephants