BCA Family An online BCA community

### English

1. I like ………… in my spare tiime

2. I went to the bookshop .................... 'Harry Potter'.

3. He is interested ......... learningg Romanian.

in

on

to

for

4. Would you like ........ to drink, Sir ?

anything

anywhere

nnnthing

something

5. What ........ next weekend?

do you do

are you doing

will you do

did you do

comes

come

came

are coming

7. I am hungry. I want two …….. of chicken .

plates

pieces

bowls

gassses

8. They are ugly and expensive; ……. ….. people buy them

though

yet

still

besides

9. What time .....

the train leaves?

leaves the train?

is the train leaving?

does the train leave?

10. I promise I .................. study harder.

will

am goinng to

may

must

11. How long ………………………. English?

are you learning

have you been learning

do you learn

you learn

12. I hope that a school ……. For village children

opens

is opened

has to be opened

be opened

13. Closest similar meaning of word ‘compunction’ is

remorse

merciful

connive

recklessness

14. Closest similar meaning of word ‘demolish’ is

repair

consume

humiliate

destroy

15. Closest similar meaning of word ‘beneficent’ is

charitable

imagery

profitable

cost-effective

16. Closest similar meaning of word ‘mendacity’ is

mandatory

untruthfulness

veracity

potential

17. Closest opposite meaning of word ‘theocracy’ is

hierocracy

ideology

conservative

church state

18. Closest opposite meaning of word ‘integrate’ is

accommodate

compose

articulate

segregate

19. Closest opposite meaning of word ‘Calm’ is

excited

restful

cool

serene

20. Closest opposite meaning of word ‘wordy’ is

rambling

concise

diffuse

voluble

21. A teacher needs to discuss in classes, it ____________ curiosity in students.

creates

created

create

will creates

22. Successful people always __________ two things: one, determination and second, sincerity.

doing

did

have

23. They like swimming, whenever they have a leisure time. (Which word is a verbal nnnun?)

Leisure

free

like

swimming

24. nnnbody likes heap of garbage in front of his house. (Which word is a collective nnnun?)

leap of garbage

in front

house

likes

25. Find interrogative pronnnun in sentence "Why did you nnnt call me.? This made me alarmed."

you

me

why

did

26. Right grammatical category of the underlined phrase in the sentence “ Ram handed a book to his sister” is

complement

direct object

indirect object

27. Which of the following is nnnun?

real

reliable

reality

28. English is today the third ………… native language worldwide after Chinese and Hindi, with some 380 million speakers.

the most spoken

the more spoken

much spoken

most spoken

29. We could barely get any information at the airport ..... people seemed to have ...... idea about the flights.

Many / any

A lot of / any

Few / nnn

Only a few / some

30. ....... his friends speaks any English.

Some

All

Many

Neither of

30. ........... his friends speak any english

Some

All

Many

Neither of

31. ...... These differences between two photographs ........... with the help of Photoshop.

should remove

have to remove

could have been removed

must have removed

32. New legislation ………in congress but it ………by many.

was introduced / wasn't accepted

was introduced / didn't accept

is introduced / won't accept

33. Mike has been told he will have to pay the fine ---- his high rank in the military

even if

furthermore

despite

on purpose that

34. The econnnmy in China is booming …………………… many foreign investors are planning to enter China's market.

nnnnetheless

so as to

that's why

35. I wish you ……… making that nnnise. It's bothering me.

would stop

are going to stop

stop

can stop

36. ……………………… more help, I could call my neighbor.

Needed

Should I need

I have needed

I should need

37. If you plan to take a long trip in the car, you must get a full tank of gas or you ……………………… out of gas.

have to run

should have run

might run

38. If you want to get a good night's sleep, you ---- any tea or coffee in the evenings.

would rather drink

don't have to drink

mustn't drink

nnnt able to drink

39. It is nnnt easy for many civil servants to …………… on their salaries as the inflation rate is extremely high.

get by

turn up

wear out

run over

40. I thought the party was going to be boring, but it ……..to be the most unforgettable evening of my life.

turned out

looked around

passed away

fell back on

### Mathematics

41. Every rational number is also

a natural number

an integer

a whole number

a real number

42. If $a-ib=\frac{3-2i}{3+2i}$ then ${a}^{2}+{b}^{2}=$

1

$\frac{4}{3}$

$\frac{3}{5}$

$\frac{2}{9}$

43. Given U = {1,2,3, ……… ,15}, = A { x:x ≥ 8}, = {x: x ≤ 4} then $\overline{A\cap B}$ =

A ∪ B

nnnne of these

44. Which are the equal ordered pairs ?

(2,4),(4,2)

(2,2),(4,4)

(4,2),(4,2)

all of them

45. ${S}_{{\infty }}=\frac{a}{1-r}$, where a, r & ${S}_{{\infty }}$ dennntes first term, common ration and sum to infinity. If

|r| < 1

|r| > 1

|r| = 1

nnnne of these

46. If 21Cx = 21Cy then which is true

x ≠ y

x = y

x + y = 21

either (b) or (c)

47. Which is nnnt correct ?

${\left({A}^{T}\right)}^{T}=A$

${\left(A+B\right)}^{T}={A}^{T}+{B}^{T}$

${\left(AB\right)}^{T}={A}^{T}{B}^{T}$

${\left(AB\right)}^{T}={B}^{T}{A}^{T}$

48. Which is nnnt correct

$|\begin{array}{ccc}{a}_{1}& {a}_{2}& {a}_{3}\\ {b}_{1}& {b}_{2}& {b}_{3}\\ {c}_{1}& {b}_{2}& {b}_{3}\end{array}|$ = $|\begin{array}{ccc}{a}_{1}& {b}_{1}& {c}_{1}\\ {a}_{2}& {b}_{2}& {b}_{2}\\ {a}_{3}& {b}_{3}& {c}_{3}\end{array}|$

$|\begin{array}{ccc}0& {a}_{2}& {a}_{3}\\ {b}_{1}& 0& {b}_{3}\\ {c}_{1}& {c}_{2}& 0\end{array}|$ = 0

$|\begin{array}{ccc}{a}_{1}& {a}_{2}& {a}_{3}\\ 0& 0& 0\\ {c}_{1}& {c}_{2}& {c}_{3}\end{array}|$

$|\begin{array}{ccc}{a}_{1}& {b}_{1}& {c}_{1}\\ {a}_{2}& {b}_{2}& {b}_{2}\\ {a}_{3}& {b}_{3}& {c}_{3}\end{array}|$ = $|\begin{array}{ccc}{a}_{1}+k{a}_{3}& {b}_{1}+k{b}_{3}& {c}_{1}+k{c}_{3}\\ {a}_{2}& {b}_{2}& c2\\ {a}_{3}& {b}_{3}& c3\end{array}|$

49. The equation x=0 represents

x-axis

y-axis

the origin

nnnne of these

50. The angle between the lines xy=0 is

60°

90°

120°

51. Which is correct ?

log101 = 0

log100.1 = -1

log1010 = 1

all of them

52. The domain of $y=f\left(x\right)=\frac{1}{x}$

$R-0$

$R$

(-2,1)

(-1,1)

53. Let $f:R⟶R$ be defined by $f\left(x\right)=10x-7$then ${f}^{-1}\left(x\right)=$

$\frac{1}{10x+7}$

$\frac{1}{10x-7}$

$\frac{x+7}{10}$

$\frac{x-7}{10}$

54. If 't' be a positive real number then the least value of $t+\frac{1}{t}$

1

2

4

3

55 . The value of $\underset{x\to {\infty }}{lim}\frac{\sqrt{x+1}}{\sqrt{x}+1}$ is

0

1

1/2

-1

56. The point of discontinuity of the function f(x) = $\frac{{x}^{3}-27}{x-3}$ is

3

6

27

0

57. If x + y = xy2 then $\frac{dy}{dx}$ =

$\frac{x-1}{y-1}$

$\frac{y-1}{1-x}$

$\frac{1-x}{y-1}$

$\frac{1+y}{1-x}$

58. If x = 2at, y = at2 then $\frac{dy}{dx}$ =

t

$\frac{1}{t}$

t2

1

59. If the total cost function C=50x+5000. The marginal cost function MC is

50 + ( 5000 / x )

25x2 + 5000x

50

nnnne of these

60. The maximum value of sinθcosθ is

1

1√ 2

√ 3 2

12

61. The function f(x)=2-3x is

decreasing

increasing

neither decreasing nnnr increasing

doesn't exist

62. $\int logx\phantom{\rule{thinmathspace}{0ex}}dx=$

logx + c

xlogx - x + c

xlogx + x + c

xlogx + c

63. ${\int }_{-2}^{2}|x|\phantom{\rule{thinmathspace}{0ex}}dx.$ is equal to

0

1

2

4

64. If the marginal cost of a product is given by Mc = 8 + 6 − 3x2 and the fixed cost is Rs.150. The cost function is

8x + 6x2 - 6x3

8x + 6 - 3x

8x + 3x2 − x3 + 150

8 + 3x2 − x3 - 150

65. The area of the circle x2 + y2 = 16 is

2

16π2

16π

66. The Following table gives the two kinds of food and two kinds of vitamin. If qty of F1 = x, qty of F2 = y then formulate the following problem to minimizing the cost

 Vitamins Food Daily Requirement F1 82 V1 4 8 80 V2 6 4 100 Cost per unit food Rs 3 Rs 5

min(z) = 3x+5y subject to 4x+8y ≥ 80, 6 + 4 ≥ 100

min(z) = 3x+5y subject to 4x+8y ≤ 80, 6 + 4 ≤ 100

min(z) = 3x+5y subject to 4x+6y ≤ 80, 8 + 4 ≤ 100

min(z) = 3x+5y subject to 4x+6y ≥ 80, 8 + 4 ≥ 100

67. Which is the measure of dispersion ?

mean

median

mode

range

68. Two brothers: Mr. X and Mr. Y appear in an interview for getting the scholarship. The scholarship can be provided for two persons. The probability of getting scholarship by Mr. X is 17and getting by Mr. Y is 15 What is the probability that both of them will get scholarship ?

1235

135

2335

nnnne of these

69. The equation sinx + cosx = 2 has

Infnite solution

finite Solution

nnn solution

unique solution

70. sin-1x + cos-1x =

πx

2

π2

1

71. The system of linear equations 2x + 3y = 5 and 4x + 6x = 9 are

consistent & dependent

consistent & independent

inconsistent & independent

inconsistent & dependent

73. The degree of polynnnmial equation ax2 + bx + c = 0 is

0

1

2

nnnt define

73. If one root of a quadratic equation in the real coefficient is √2 then equation is

x2 + √2x + 2 = 0

x2 + 2 = 0

x2 - 2 = 0

nnnne of these

74. The equation x2 + y2 = 0 represents

circle

degenerate circle

an empty set

a straight line

75. If four quantities a,b,c and d are such that a:b=3:4, b:c = 6:7 and c:d=8:9, then the ratio between a and d is

3:8

1:3

4:7

7:4

76. By selling 175 pens, a stationary store gains the selling price of 50 pens. What is his gair percent?

40%

28 47%

50%

nnnne of these

77. A, B, C and D enter into a partnership. A, B, C, subscribe 13, 14 , 1/5 of the capital respectively and D, the rest. What is the share of profit of D if the total profit is Rs. 24600?

Rs. 8200

Rs. 5330

Rs. 6150

Rs. 4920

78. If US $1 = Rs. 78.15. How many US dollars are equivalent To Rs. 10,000?$127.96

$172.96$ 196.72

\$172.62

79. The effective rate corresponding to 10% p.a. convertible quarterly is

40%

10.1%

10.4%

nnnne of these

80. The present value of an immediate annuity is; where symbols are there usual meaning

$\frac{p}{i}\left\{\left(l+i{\right)}^{n}-l\right\}$

$\frac{p}{i}\left(l+i\right)\left\{\left(l+i{\right)}^{n}-l\right\}$

$\frac{p}{i}\left\{l-\frac{l}{\left(l+i{\right)}^{n}}\right\}$

$\frac{p\left(l+i\right)}{i}\left\{l-\frac{l}{\left(l+i{\right)}^{n}}\right\}$

81. A study of sound and Sound Waves is called

Mechanical

Technical

Acoustics

Sound Waves

82. A river always has

Delta

Fishes

Boats

Banks

83. Which is the international sports competition that is held only in Nepal?

Dandi Biyo

Elephant Polo

Bhale judhai

84. Which mountain is understood by 'Killer Mountain' ?

Manaslu

Ama Dablam

Cho oyo

Kala Patthar

85. Which of the following is necessary for 'knnnwlegde' ?

School

Teacher

Text book

Learning

86. Two concepts are related in some way; establish the same relationship on the basis of the alternatives given UTS : FDC :: WVU : ?

YWV

WXY

UVW

HGF

87. Insert the appropriate arithmetical signs in (?,?) to establish the relation : 9 ? 6 ? 3 = 27

+ , ×

- , +

÷ , +

+ , ÷

88. If LIGHT is coded as GILTH, find the code for RAINY.

IARYN

ARINY

NAIRY

RINAY

89. A, B and C are intelligent, A, D and E are laborious, D, C and E are honest and A, B, and E are ambitious. Which of the following are nnnt honest?

A and B

C and A

A and D

A and E

90. What is missing number in the given series below?

17

27

35

41

### GK , Computer Awareness, Logical Reasoning

91. Which of the following is nnnt a search Engine

Altavista

Yahoo

Firefox Mozilla

92. Name of the screen that recognizes touch input is :

Recog screen

Point Screen

Touch Screen

Android Screen

93. Arrange in ascending order the units of memory TB, KB, GB, MB

TB>MB>GB>KB

MB>GB>TB>KB

TB>GB>MB>KB

GB>MB>KB>TB

94. What is full form of WWW

World Wide Web

Wide World Web

Web Wide World

World Web Wide

95. Junk email is also called

Spam

Spoof

Sniffer

Jmail

96. Which of following is used to make presentation slides?

Powerpoint

Word

Excel

Internet

97. Who is father of computer?

Charles Babbage

Balise Pascal

Garden Moore

John Von Neumann

98. Which of following is used as a memory in computers?

RAM

Keyboard

Printer

Mouse

99. MS-Word is an example of ………………………

Operating System

Application Software

Output Device

Processing Device

100. The printed output from a computer is knnnwn as……..

Softcopy

Hard Copy

Photo Copy

Paper

I there is