Official Paper

RRB Technician Grade I 13 March 2026 Official Paper (Previous Year Paper)

100 questions · 90 minutes · with answers · free

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General Awareness (10 questions)

1

Pandit Chhannulal Mishra, who passed away at the age of 89, was associated with which of the following Hindustani classical music gharanas?

  1. ((a))

    Agra Gharana

  2. ((b))

    Gwalior Gharana

  3. ((c))

    Banaras Gharana

  4. ((d))

    Jaipur-Atrauli Gharana

Show Answer
Answer: ((a))

Agra Gharana

2

The Kol Uprising, which resisted British law and order intervention, took place in which region?

  1. ((a))

    Mysore

  2. ((b))

    Awadh

  3. ((c))

    Chotanagpur

  4. ((d))

    Bengal

Show Answer
Answer: ((a))

Mysore

3

In 2025, which Indian cricketer became the first Indian pacer to play 50 Test matches for the country?

  1. ((a))

    Ishant Sharma

  2. ((b))

    Bhuvneshwar Kumar

  3. ((c))

    Mohammed Shami

  4. ((d))

    Jasprit Bumrah

Show Answer
Answer: ((a))

Ishant Sharma

4

Which folk music tradition from West Bengal, associated with spiritual themes, is performed by wandering minstrels?

  1. ((a))

    Baul

  2. ((b))

    Pandavani

  3. ((c))

    Alha

  4. ((d))

    Bhavai

Show Answer
Answer: ((a))

Baul

5

The Constitution of India prohibits which of the following types of citizenship?

  1. ((a))

    Citizenship by registration under statutory provisions

  2. ((b))

    Dual citizenship of another country along with Indian citizenship

  3. ((c))

    Citizenship by birth within the territory of India

  4. ((d))

    Citizenship by naturalisation after fulfilling prescribed conditions

Show Answer
Answer: ((a))

Citizenship by registration under statutory provisions

6

When and where did the first session of the Indian National Congress take place?

  1. ((a))

    January 12, 1885, Calcutta

  2. ((b))

    December 28, 1852, Poona

  3. ((c))

    December 28, 1885, Bombay

  4. ((d))

    December 28, 1885, Poona

Show Answer
Answer: ((a))

January 12, 1885, Calcutta

7

As per Article 280(1) of the Constitution, the Finance Commission is to be constituted:

  1. ((a))

    Every four years or earlier

  2. ((b))

    Every three years

  3. ((c))

    Every five years or earlier

  4. ((d))

    Every seven years or earlier

Show Answer
Answer: ((a))

Every four years or earlier

8

Shri C. P. Radhakrishnan was sworn in as _____ Vice President of India.

  1. ((a))

    12th

  2. ((b))

    15th

  3. ((c))

    14th

  4. ((d))

    13th

Show Answer
Answer: ((a))

12th

9

Which of the following pairs of peaks and their approximate heights is matched INCORRECTLY?

  1. ((a))

    Kanchenjunga - 8598 m

  2. ((b))

    Dodabetta - 2637 m

  3. ((c))

    Nanga Parbat - 7026 m

  4. ((d))

    Anaimudi - 2695 m

Show Answer
Answer: ((a))

Kanchenjunga - 8598 m

10

Which of the following was NOT a key component of the 1991 industrial reforms in India?

  1. ((a))

    Expansion of the public sector in key industries

  2. ((b))

    Encouraging Foreign Direct Investment (FDI)

  3. ((c))

    Abolition of the Monopolies and Restrictive Trade Practices (MRTP) Act

  4. ((d))

    Delicensing of industries

Show Answer
Answer: ((a))

Expansion of the public sector in key industries

General Intelligence & Reasoning (15 questions)

11

What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘-’ are interchanged and ‘x’ and ‘÷’ are interchanged?

297×11−17÷18+91=? 297 \times 11 - 17 \div 18 + 91 = ?

  1. ((a))

    242

  2. ((b))

    245

  3. ((c))

    248

  4. ((d))

    240

Show Answer
Answer: ((a))

242

12

A question is followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer.

Six people, A, B, C, D, E and F, are sitting in a straight line, facing north. Who sits to the immediate left of E?

I. B sits fourth to the right of C. Only one person sits between C and F. D sits third to the right of F.

II. C sits at the extreme left end of the line. Only two people sit between C and E. A sits fourth to the left of D.

  1. ((a))

    The data in both Statements I and II put together (and not independently) are sufficient to answer the question.

  2. ((b))

    The data in Statement I alone is sufficient to answer the question while data in Statement II is not.

  3. ((c))

    The data in Statement II alone is sufficient to answer the question while data in Statement I is not.

  4. ((d))

    The data in both Statements I and II put together are NOT sufficient to answer the question.

Show Answer
Answer: ((a))

The data in both Statements I and II put together (and not independently) are sufficient to answer the question.

13

Seven people, C, D, E, F, W, X and Y, are sitting around a circular table facing the centre of the table. Only two people sit between C and D when counted from the left of D. X sits to the immediate right of D. Only three people sit between D and E. F sits to the immediate right of W. How many people sit between Y and F when counted from the right of F?

  1. ((a))

    Three

  2. ((b))

    Zero

  3. ((c))

    One

  4. ((d))

    Two

Show Answer
Answer: ((a))

Three

14

Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.

(Left) 1 3 € £ 7 4 6 ¥ 2 8 $ 6 3 1 ◇ 1 3 9 ○ 2 5 ☆ 7 5 9 (Right)

How many such symbols are there that are immediately preceded by an odd number but not immediately followed by an even number?

  1. ((a))

    Four

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Three

Show Answer
Answer: ((a))

Four

15

Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group?

(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)

  1. ((a))

    MHJ

  2. ((b))

    RMO

  3. ((c))

    TOQ

  4. ((d))

    KEH

Show Answer
Answer: ((a))

MHJ

16

In a certain code language,

A + B means ‘A is the son of B’,

A – B means ‘A is the brother of B’,

A x B means ‘A is the wife of B’, and

A ÷ B means ‘A is the father of B’.

Based on the above, how is L related to P if ‘L + M ÷ N x O – P’?

  1. ((a))

    Brother’s wife’s father

  2. ((b))

    Wife’s father

  3. ((c))

    Wife’s brother

  4. ((d))

    Brother’s wife’s brother

Show Answer
Answer: ((a))

Brother’s wife’s father

17

Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. All numbers are single-digit numbers.

<br>

(Left) 9 1 @ $ 5 1 # 5 9 $ 1 & 4 + 7 = ! 5 & 4 ? (Right)

<br>

How many such symbols are there each of which is immediately preceded by a number and also immediately followed by another number?

  1. ((a))

    THREE

  2. ((b))

    FIVE

  3. ((c))

    FOUR

  4. ((d))

    SIX

Show Answer
Answer: ((a))

THREE

18

Refer to the given letter, number and symbol series and answer the question that follows. Counting to be done from left to right only.

<br>

(Left) F 5 @ £ T 7 Y € V D © 3 € 6 % X 1 Z £ € G * (Right)

<br>

If all the numbers are dropped from the series, which of the following will be sixth from the left?

  1. ((a))

    Y

  2. ((b))

    €

  3. ((c))

    £

  4. ((d))

    T

Show Answer
Answer: ((a))

Y

19

In the following triad, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one which follows the same logic.

MAKE – MEKA – AEMK

LOAD – LDAO - ODLA

  1. ((a))

    WIND – WDNI – IDWN

  2. ((b))

    VIEW – WVIE – EWIV

  3. ((c))

    RENT – RTEN – ENRT

  4. ((d))

    GROW – ROWG – ORGW

Show Answer
Answer: ((a))

WIND – WDNI – IDWN

20

Vijay starts from point A and drives 10 km towards North. He then takes a left turn, drives 4 km, turns left and drives 12 km. He then takes a left turn and drives 9 km. He takes a final left turn, drives 2 km and stops at point P. How far (shortest distance) and towards which direction should he drive in order to reach point A again? (All turns are 90 degrees turns only unless specified)

  1. ((a))

    5 km to the east

  2. ((b))

    4 km to the east

  3. ((c))

    4 km to the west

  4. ((d))

    5 km to the west

Show Answer
Answer: ((a))

5 km to the east

21

10 is related to 22 following a certain logic. Following the same logic, 24 is related to 50. To which of the given options is 6 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

  1. ((a))

    18

  2. ((b))

    16

  3. ((c))

    14

  4. ((d))

    12

Show Answer
Answer: ((a))

18

22

Each of M, N, O, P, Q, R and S plays a game on a different day of a week starting from Monday and ending on Sunday of the same week. M plays the game on Wednesday. Only two persons play the games between M and Q. O plays the game on the day immediately before R but not on Thursday. Only two persons play the games between N and S. N does not play the game on the last day. On which day does P play the game?

  1. ((a))

    Monday

  2. ((b))

    Tuesday

  3. ((c))

    Thursday

  4. ((d))

    Friday

Show Answer
Answer: ((a))

Monday

23

LF 58 is related to ID 49 in a certain way. In the same way, YK 36 is related to VI 27. To which of the following is RO 61 related, following the same logic?

  1. ((a))

    OM 52

  2. ((b))

    OV 53

  3. ((c))

    OG 55

  4. ((d))

    OH 59

Show Answer
Answer: ((a))

OM 52

24

Select the triad which follows the same pattern as that followed by the two triads given below. Both triads follow the same pattern.

<br>

HN-JF-MO

MS-OK-RT

  1. ((a))

    PV-SN-UY

  2. ((b))

    PU-SN-WY

  3. ((c))

    PV-RN-UW

  4. ((d))

    OU-SM-WY

Show Answer
Answer: ((a))

PV-SN-UY

25

19 is related to 64 following a certain logic. Following the same logic, 28 is related to 91. To which of the following is 44 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

  1. ((a))

    193

  2. ((b))

    131

  3. ((c))

    113

  4. ((d))

    139

Show Answer
Answer: ((a))

193

Basics of Computer & Applications (20 questions)

26

What is the difference between Reply and Forward in email?

  1. ((a))

    Reply sends your response only to the original sender, while Forward sends the email to a new recipient.

  2. ((b))

    Reply sends the email to all contacts, Forward sends it to none.

  3. ((c))

    Reply deletes the original message, while Forward saves it.

  4. ((d))

    Reply encrypts the email, Forward does not.

Show Answer
Answer: ((a))

Reply sends your response only to the original sender, while Forward sends the email to a new recipient.

27

An email containing sensitive information is received from a client. It needs to be forwarded to a colleague for further action. What measures should be taken to safeguard the sensitive information during this process?

  1. ((a))

    Forward the email as is.

  2. ((b))

    Redact the sensitive information before forwarding.

  3. ((c))

    Call your colleague and verbally share the sensitive information.

  4. ((d))

    Delete the mail containing sensitive information

Show Answer
Answer: ((a))

Forward the email as is.

28

In a switched Ethernet LAN, which switching method begins forwarding a frame as soon as the destination MAC address is read, resulting in the lowest latency but higher risk of forwarding corrupted frames?

  1. ((a))

    Cut-Through Switching

  2. ((b))

    Token Passing

  3. ((c))

    Store-and-Forward Switching

  4. ((d))

    Fragment-Free Switching

Show Answer
Answer: ((a))

Cut-Through Switching

29

Which of the following best describes the role of PCB in a computer system?

  1. ((a))

    An input device for transferring data

  2. ((b))

    A physical board connecting electronic components

  3. ((c))

    A protocol used in wireless networks

  4. ((d))

    A software tool for virus removal

Show Answer
Answer: ((a))

An input device for transferring data

30

In MS PowerPoint, which feature enables inserting tables from MS Word or MS Excel?

  1. ((a))

    File > Import

  2. ((b))

    Insert > Object

  3. ((c))

    Insert > Table

  4. ((d))

    Home > Table

Show Answer
Answer: ((a))

File > Import

31

Consider the following statements regarding inserting and deleting rows and columns in tables in MS Word 2021:

New rows can be inserted only at the end of a table using the Tab key.

The Layout tab under Table Tools allows users to insert or delete rows and columns at any position within the table.

The Right-click context menu provides quick options for inserting and deleting rows or columns.

Which of the above statements is/are correct?

  1. ((a))

    Statement Only 2 and Statement 3

  2. ((b))

    Statement 1, Statement 2, and Statement 3

  3. ((c))

    Statement Only 1 and Statement 3

  4. ((d))

    Statement Only 1 and Statement 2

Show Answer
Answer: ((a))

Statement Only 2 and Statement 3

32

In R1C1 reference style, how is the cell located at column E and row 8 represented in Microsoft Excel 2021?

  1. ((a))

    8R5C

  2. ((b))

    R8C5

  3. ((c))

    8RC5

  4. ((d))

    RC85

Show Answer
Answer: ((a))

8R5C

33

Which shortcut allows you to select an entire sentence in MS Word 365 without dragging the mouse?

  1. ((a))

    Ctrl + Click

  2. ((b))

    Ctrl + Shift + →

  3. ((c))

    Ctrl + Shift + End

  4. ((d))

    Ctrl + Click anywhere in the sentence

Show Answer
Answer: ((a))

Ctrl + Click

34

Where can you find options to change the design template of your presentation?

  1. ((a))

    Home tab

  2. ((b))

    View tab

  3. ((c))

    Insert tab

  4. ((d))

    Design tab

Show Answer
Answer: ((a))

Home tab

35

What shortcut key is used in Windows OS to navigate between open programs?

  1. ((a))

    Alt + Del

  2. ((b))

    Alt + F4

  3. ((c))

    Alt + Tab

  4. ((d))

    Alt + Ins

Show Answer
Answer: ((a))

Alt + Del

36

What factors should be considered for optimal document printing results?

  1. ((a))

    Printer selection, paper type, print quality, color options, and page range settings affect printing outcomes and resource efficiency.

  2. ((b))

    Printing settings have no impact on final results.

  3. ((c))

    All documents print identically regardless of settings.

  4. ((d))

    Default printing settings are always appropriate.

Show Answer
Answer: ((a))

Printer selection, paper type, print quality, color options, and page range settings affect printing outcomes and resource efficiency.

37

Which toolbar in Excel or Office applications allows you to draw shapes, arrows, and flowchart elements?

  1. ((a))

    Formatting Toolbar

  2. ((b))

    Standard Toolbar

  3. ((c))

    Formula Toolbar

  4. ((d))

    Drawing Toolbar

Show Answer
Answer: ((a))

Formatting Toolbar

38

How can a user attach a file to an e-mail in most e-mail clients?

  1. ((a))

    Go to the Edit menu and select 'Add File'

  2. ((b))

    Click the 'Send' button and select a file

  3. ((c))

    Click the 'Attach File' or paperclip icon and select a file

  4. ((d))

    Press Ctrl + A to attach a file

Show Answer
Answer: ((a))

Go to the Edit menu and select 'Add File'

39

Clip art includes:

  1. ((a))

    Sound files

  2. ((b))

    Only charts

  3. ((c))

    Animated GIFs & drawings

  4. ((d))

    Only videos

Show Answer
Answer: ((a))

Sound files

40

You have a large, comma-separated data set pasted into Word, where each line represents a new row and the commas (,) separate the data that should occupy individual cells. To accurately convert this text into a table while ensuring the data is parsed correctly, which sequence of actions must you take while using MS Word in Microsoft 365?

  1. ((a))

    Select the entire text, go to the Insert tab, click Table, and select Quick Tables, then choose the appropriate style.

  2. ((b))

    Select the entire text, go to the Insert tab, click Table, and select Convert Text to Table, then confirm that the separator character is set to Commas.

  3. ((c))

    Select the entire text, open the Table Properties dialog box, navigate to the Row tab, and specify a fixed row height, which automatically triggers the conversion.

  4. ((d))

    Select the entire text, go to the Layout tab (under Table Tools), select Text Direction, and choose the Convert Text to Table option.

Show Answer
Answer: ((a))

Select the entire text, go to the Insert tab, click Table, and select Quick Tables, then choose the appropriate style.

41

Windows comes with a __________ that displays currently opened programs. It also allows users to access any specific programs.

  1. ((a))

    task manager

  2. ((b))

    taskbar

  3. ((c))

    start menu

  4. ((d))

    file explorer

Show Answer
Answer: ((a))

task manager

42

The system software component _____ is responsible for booting up the computer system.

  1. ((a))

    CLI/GUI

  2. ((b))

    BIOS/UEFI

  3. ((c))

    HDMI/VGA

  4. ((d))

    CGI/ETF

Show Answer
Answer: ((a))

CLI/GUI

43

Which of the following statements about Power Saving Mode in MS Word is TRUE?

  1. ((a))

    MS Word automatically adjusts performance and reduces background operations when the computer’s power-saving mode is enabled

  2. ((b))

    MS Word has a dedicated “Power Saving Mode” that reduces CPU usage and disables editing features

  3. ((c))

    Power Saving Mode in Word automatically converts all documents to plain text to save energy.

  4. ((d))

    Enabling Power Saving Mode in Word disables printing and spell-checking permanently

Show Answer
Answer: ((a))

MS Word automatically adjusts performance and reduces background operations when the computer’s power-saving mode is enabled

44

In MS Excel, which option allows you to insert a new column between column B and C?

  1. ((a))

    Right-click on Column C header → Insert

  2. ((b))

    Use 'Clear Contents'' option

  3. ((c))

    Right-click on Column B header → Delete

  4. ((d))

    Select Column C → Press Delete

Show Answer
Answer: ((a))

Right-click on Column C header → Insert

45

Which of the following is a correct combination of commonly used Internet services and their primary functions?

  1. ((a))

    FTP – browsing websites; Email – live chatting; VoIP – printing files

  2. ((b))

    FTP – transferring files; VoIP – voice communication; Email – sending and receiving messages

  3. ((c))

    WWW – file transfer; Email – real-time video calling; Telnet – sending photos

  4. ((d))

    Email – remote access; WWW – file encryption; FTP – managing hardware drivers

Show Answer
Answer: ((a))

FTP – browsing websites; Email – live chatting; VoIP – printing files

Mathematics (20 questions)

46

Simplify: [sin⁡8θ−cos⁡8θ1sin⁡4θ+cos⁡4θ]+2cos⁡2θ [{\sin^8 \theta - \cos^8 \theta}\frac{1}{\sin^4 \theta + \cos^4 \theta}] + 2 \cos^2 \theta

  1. ((a))

    1

  2. ((b))

    0

  3. ((c))

    2

  4. ((d))

    -1

Show Answer
Answer: ((a))

1

47

If E and F are two mutually exclusive events such that P(E)=16 P(E) = \frac{1}{6} and P(F)=12 P(F) = \frac{1}{2} , then find the P(not E and not F) P(\text{not E and not F}) .

  1. ((a))

    23 \frac{2}{3}

  2. ((b))

    56 \frac{5}{6}

  3. ((c))

    12 \frac{1}{2}

  4. ((d))

    13 \frac{1}{3}

Show Answer
Answer: ((a))

23 \frac{2}{3}

48

The coordinates of the centroid of the triangle ABC whose vertices are A(-16, 13), B(-2, -9) and C(2, 13), is

  1. ((a))

    (−143,183) (-\frac{14}{3}, \frac{18}{3})

  2. ((b))

    (−163,153) (-\frac{16}{3}, \frac{15}{3})

  3. ((c))

    (−173,173) (-\frac{17}{3}, \frac{17}{3})

  4. ((d))

    (−163,173) (-\frac{16}{3}, \frac{17}{3})

Show Answer
Answer: ((a))

(−143,183) (-\frac{14}{3}, \frac{18}{3})

49

Simplify (2.5×0.48÷0.6)+(3.5+1.6÷0.8)−(4.8×0.25÷0.8) (2.5 \times 0.48 \div 0.6) + (3.5 + 1.6 \div 0.8) - (4.8 \times 0.25 \div 0.8) .

  1. ((a))

    8

  2. ((b))

    6

  3. ((c))

    7

  4. ((d))

    5

Show Answer
Answer: ((a))

8

50

The HCF of two numbers, each having three digits, is 19 and their LCM is 760. The number of such pairs is:

  1. ((a))

    0

  2. ((b))

    3

  3. ((c))

    2

  4. ((d))

    1

Show Answer
Answer: ((a))

0

51

A hemispherical bowl has 992π3 cm3 \frac{992 \pi}{3} \text{ cm}^3 of water in it. If a ball of radius 2 cm is dropped into the bowl, the water level is raised up to the height of the bowl without any extra spillage of water out of the bowl. What is the radius of the bowl?

  1. ((a))

    8 cm

  2. ((b))

    6 cm

  3. ((c))

    4 cm

  4. ((d))

    2 cm

Show Answer
Answer: ((a))

8 cm

52

The angles of a triangle are (2x+5)∘,x∘ (2x + 5)^\circ, x^\circ and (3x−17)∘ (3x - 17)^\circ . Find the value of x.

  1. ((a))

    32

  2. ((b))

    48

  3. ((c))

    40

  4. ((d))

    24

Show Answer
Answer: ((a))

32

53

Triangle ABC is similar to triangle PQR. AM and PS are altitudes and AN and PT are medians. If AMPS=35 \frac{AM}{PS} = \frac{3}{5} , the area of triangle PQR is 150 cm2 150 \text{ cm}^2 and BC=6 cm BC = 6 \text{ cm} , then the sum of the lengths of AM and QR is:

  1. ((a))

    38 cm

  2. ((b))

    28 cm

  3. ((c))

    24 cm

  4. ((d))

    36 cm

Show Answer
Answer: ((a))

38 cm

54

A cylindrical pillar is 28 cm in diameter and 25 m in height. Find the cost of painting the curved surface of the pillar at the rate of ₹50 per m2. (Use π=227 \pi = \frac{22}{7} )

  1. ((a))

    ₹1100

  2. ((b))

    ₹1138

  3. ((c))

    ₹1080

  4. ((d))

    ₹1072

Show Answer
Answer: ((a))

₹1100

55

Given that 1120.17=x 112^{0.17} = x , 1120.94=y 112^{0.94} = y and xz=y6 x^z = y^6 , then the value of z is close to:

  1. ((a))

    34.19

  2. ((b))

    34.73

  3. ((c))

    33.18

  4. ((d))

    32.2

Show Answer
Answer: ((a))

34.19

56

The following table represents the marks obtained by six students in an aptitude test. Study the data carefully and answer the questions given below by matching the following types.

StudentABCDEF
Marks485052556065
<br>

Match the following (standard deviation values are rounded off to two decimal places):

A. Standard deviation of entire datasetI. 5.88
B. Standard deviation of only the middle four values (B, C, D, E)II. 3.77
C. Standard deviation of only first three values (A, B, C)III. 4.08
D. Standard deviation of only last three values (D, E, F)IV. 1.63
  1. ((a))

    A − I, B − II, C − IV, D − III

  2. ((b))

    A − II, B − IV, C − III, D − I

  3. ((c))

    A − I, B − II, C − III, D − IV

  4. ((d))

    A − II, B − IV, C − I, D − III

Show Answer
Answer: ((a))

A − I, B − II, C − IV, D − III

57

Find the product of all the possible values of ‘a’ for a2x2+a3/2x+3=0 a^2x^2 + a^{3/2}x + 3 = 0 to be a quadratic equation with discriminant 28a.

  1. ((a))

    0

  2. ((b))

    14

  3. ((c))

    -12

  4. ((d))

    -28

Show Answer
Answer: ((a))

0

58

If the sum of the 8th and the 12th terms of an AP is 100, and the 20th term is 95, then what is the 7th term?

  1. ((a))

    37.5

  2. ((b))

    38.5

  3. ((c))

    39.5

  4. ((d))

    36.5

Show Answer
Answer: ((a))

37.5

59

A kite is flying in the sky. A person is holding the kite with 40 m long tightly stretched string. Find the height of the kite (in meters) if the angle made by the string with the horizontal is 30 degrees.

  1. ((a))

    20

  2. ((b))

    30

  3. ((c))

    15

  4. ((d))

    10

Show Answer
Answer: ((a))

20

60

If a = 18 and d = 30, then sum of first 6 terms of the A.P. is?

  1. ((a))

    555

  2. ((b))

    558

  3. ((c))

    559

  4. ((d))

    561

Show Answer
Answer: ((a))

555

61

In a test, Chris has to answer two questions. The probability that he will answer the first question correctly is 15 \frac{1}{5} . If he answers the first question correctly, the probability that he will answer the second question correctly is 56 \frac{5}{6} . If Chris does not answer the first question correctly, the probability that he will answer the second question correctly is 14 \frac{1}{4} . Find the probability that Chris will answer the second question INCORRECTLY.

[Note: Assume that each question will be answered— either correctly or incorrectly.]

  1. ((a))

    1930 \frac{19}{30}

  2. ((b))

    35 \frac{3}{5}

  3. ((c))

    23 \frac{2}{3}

  4. ((d))

    710 \frac{7}{10}

Show Answer
Answer: ((a))

1930 \frac{19}{30}

62

Find the coordinates of a point P on the x-axis which is equidistant from the points A(2,3) and B(–4,5).

  1. ((a))

    (3,0)

  2. ((b))

    (– 7,0)

  3. ((c))

    (−73,0) (-\frac{7}{3}, 0)

  4. ((d))

    (14,0) (\frac{1}{4}, 0)

Show Answer
Answer: ((a))

(3,0)

63

If X and Y are two sets such that X∪Y X \cup Y has 56 elements, X has 45 elements and Y has 33 elements, how many elements does X∩Y X \cap Y have ?

  1. ((a))

    13

  2. ((b))

    22

  3. ((c))

    19

  4. ((d))

    25

Show Answer
Answer: ((a))

13

64

If the roots of the equation x2−5x+6=0 x^2 - 5x + 6 = 0 are α \alpha and β \beta , find the value of α2+β2 \alpha^2 + \beta^2 :

  1. ((a))

    13

  2. ((b))

    6

  3. ((c))

    12

  4. ((d))

    5

Show Answer
Answer: ((a))

13

65

The number of elements in the Power set P(S) of the set S = {1, 2, 3, 4, 5, 6, 7, 8} is:

  1. ((a))

    250

  2. ((b))

    256

  3. ((c))

    247

  4. ((d))

    258

Show Answer
Answer: ((a))

250

Basic Science & Engineering (35 questions)

66

Two transistor biasing circuits have stability factors S1=101 S_1 = 101 and S2=15 S_2 = 15 . Which circuit offers better thermal stability?

  1. ((a))

    Both have equal stability

  2. ((b))

    Circuit 1

  3. ((c))

    Cannot be compared

  4. ((d))

    Circuit 2

Show Answer
Answer: ((a))

Both have equal stability

67

In a PNP transistor, an increase in collector–base reverse bias causes a slight increase in collector current even when the emitter current is held constant. This occurs primarily because:

  1. ((a))

    Hole mobility increases in the collector region

  2. ((b))

    The collector resistance decreases due to depletion region expansion

  3. ((c))

    The emitter injection efficiency decreases

  4. ((d))

    The effective base width decreases with collector–base voltage

Show Answer
Answer: ((a))

Hole mobility increases in the collector region

68

If the potential difference across a resistor is doubled while resistance remains constant, the power consumed becomes ______.

  1. ((a))

    four times

  2. ((b))

    double

  3. ((c))

    half

  4. ((d))

    one-fourth

Show Answer
Answer: ((a))

four times

69

Two conductors of the same material have lengths L and 2L and equal resistance. The ratio of their cross-sectional areas (A1:A2 A_1:A_2 ) is _______.

  1. ((a))

    1:4

  2. ((b))

    1:2

  3. ((c))

    4:1

  4. ((d))

    2:1

Show Answer
Answer: ((a))

1:4

70

When several resistors are connected in series, which physical quantity has an identical value across each resistor?

  1. ((a))

    Power

  2. ((b))

    Voltage

  3. ((c))

    Current

  4. ((d))

    Resistance

Show Answer
Answer: ((a))

Power

71

Which of the following statements correctly describes weight?

  1. ((a))

    Weight is measured in kilograms

  2. ((b))

    Weight has both magnitude and direction

  3. ((c))

    Weight only shows how heavy something is

  4. ((d))

    Weight has no direction

Show Answer
Answer: ((a))

Weight is measured in kilograms

72

For a R-L-C series circuit connected to the input signal 4Vp-p, 1KHz periodic sinusoidal ac signal and the voltage drop across the resistor R measured with the help of CRO displays a sine wave occupying 2 units total height and volts/div knob at 1V, then the RMS current for the circuit is approximately ______________ if R=10Ω R=10\Omega .

  1. ((a))

    1.414A

  2. ((b))

    0.071A

  3. ((c))

    0.71 A

  4. ((d))

    0.14 A

Show Answer
Answer: ((a))

1.414A

73

A logic function is given by F = ABC + DE. You are allowed to use only two input AND gates and NOT gates. How many minimum number of two input AND gates and how many minimum number of NOT gates are required to implement this function?

  1. ((a))

    2 AND gates and 1 NOT gate

  2. ((b))

    3 AND gates and 2 NOT gates

  3. ((c))

    3 AND gates and 3 NOT gates

  4. ((d))

    4 AND gates and 3 NOT gates

Show Answer
Answer: ((a))

2 AND gates and 1 NOT gate

74

A 5 kg object experiences a gravitational force of about 49 N on Earth. This implies the value of g used is approximately:

  1. ((a))

    19.6 m/s²

  2. ((b))

    9.8 m/s²

  3. ((c))

    4.9 m/s²

  4. ((d))

    2 m/s²

Show Answer
Answer: ((a))

19.6 m/s²

75

A circular loop of radius r is placed in a uniform magnetic field B⃗ \vec{B} . If the plane of the loop is perpendicular to the field, the magnetic flux through the loop is ______.

  1. ((a))

    2πr²B

  2. ((b))

    2πrB

  3. ((c))

    Br

  4. ((d))

    πr²B

Show Answer
Answer: ((a))

2πr²B

76

If a charge of 3 C is moved across a potential difference of 15 V in 3 seconds, what is the power developed in the process?

  1. ((a))

    10 W

  2. ((b))

    30 W

  3. ((c))

    15 W

  4. ((d))

    5 W

Show Answer
Answer: ((a))

10 W

77

In a parallel connection, if one resistor breaks (open circuit) then _____.

  1. ((a))

    Other branches keep working

  2. ((b))

    Battery gets damaged

  3. ((c))

    Voltage becomes zero

  4. ((d))

    The entire circuit stops working

Show Answer
Answer: ((a))

Other branches keep working

78

The resistivity of a semiconductor decreases with the increase in temperature because:

  1. ((a))

    Band gap increases

  2. ((b))

    Lattice vibrations stop

  3. ((c))

    More charge carriers are generated

  4. ((d))

    Electrons lose energy

Show Answer
Answer: ((a))

Band gap increases

79

Port 0 of the 8051 microcontroller differs architecturally from the other ports primarily because:

  1. ((a))

    It is reserved only for memory expansion

  2. ((b))

    It does not contain internal pull-up resistors

  3. ((c))

    It cannot function as an output port

  4. ((d))

    It is not bit-addressable

Show Answer
Answer: ((a))

It is reserved only for memory expansion

80

Which of the following materials acts as a good insulator in electric circuits?

  1. ((a))

    Plastic

  2. ((b))

    Graphite

  3. ((c))

    Iron rod

  4. ((d))

    Mercury

Show Answer
Answer: ((a))

Plastic

81

A straight conductor of length 1 m carrying a current of 5 A is placed perpendicular to a magnetic field of 0.2 T. The force acting on the conductor is ______.

  1. ((a))

    1.0 N

  2. ((b))

    0.04 N

  3. ((c))

    5.0 N

  4. ((d))

    0.2 N

Show Answer
Answer: ((a))

1.0 N

82

If the time/div knob of the CRO is on 2 ms/div and the positive half cycle of the periodic triangular signal occupies 2 unit of the X-axis, then the time period of the signal is __________.

  1. ((a))

    16 ms

  2. ((b))

    8 ms

  3. ((c))

    2 ms

  4. ((d))

    4 ms

Show Answer
Answer: ((a))

16 ms

83

Ohm’s law may NOT hold true when _____.

  1. ((a))

    The temperature of the conductor remains constant

  2. ((b))

    The material obeys linear V–I relation

  3. ((c))

    The temperature of the conductor increases

  4. ((d))

    The conductor is metallic

Show Answer
Answer: ((a))

The temperature of the conductor remains constant

84

The SI unit of specific resistance (resistivity) is _______.

  1. ((a))

    ohm per square metre

  2. ((b))

    ohm

  3. ((c))

    ohm-metre

  4. ((d))

    ohm per metre

Show Answer
Answer: ((a))

ohm per square metre

85

Magnetic flux depends on :

  1. ((a))

    Area, magnitude of B and its orientation

  2. ((b))

    Only area

  3. ((c))

    Only magnetic field

  4. ((d))

    Only angle

Show Answer
Answer: ((a))

Area, magnitude of B and its orientation

86

Which of the following correctly defines the electric field at a point?

  1. ((a))

    Energy per unit area

  2. ((b))

    Energy available per unit charge

  3. ((c))

    Force acting per unit charge

  4. ((d))

    Force acting per unit mass

Show Answer
Answer: ((a))

Energy per unit area

87

If the mobility of the holes is reduced to half its original value, keeping other parameters constant, then the conductivity of a p-type semiconductor is _________.

  1. ((a))

    Tripled

  2. ((b))

    Constant

  3. ((c))

    Reduced to half

  4. ((d))

    Doubled

Show Answer
Answer: ((a))

Tripled

88

One coulomb of charge is approximately equal to the charge of _______.

  1. ((a))

    6×106 6 \times 10^6 electrons

  2. ((b))

    6×1018 6 \times 10^{18} electrons

  3. ((c))

    6×1012 6 \times 10^{12} electrons

  4. ((d))

    6×1010 6 \times 10^{10} electrons

Show Answer
Answer: ((a))

6×106 6 \times 10^6 electrons

89

The force on a current-carrying conductor in a magnetic field is maximum when _____.

  1. ((a))

    The current is parallel to the magnetic field

  2. ((b))

    The current is perpendicular to the magnetic field

  3. ((c))

    The current is opposite to the magnetic field

  4. ((d))

    The magnetic field is zero

Show Answer
Answer: ((a))

The current is parallel to the magnetic field

90

Which of the following quantities remains the same at all locations in the universe?

  1. ((a))

    Weight

  2. ((b))

    Gravitational force

  3. ((c))

    Mass

  4. ((d))

    Apparent weight

Show Answer
Answer: ((a))

Weight

91

An ideal half-wave rectifier supplies a purely resistive load from a sinusoidal source. Let vL(t) v_L(t) be the load voltage and vD(t) v_D(t) be the diode voltage, measured with reference to the anode. Which of the following statements is always true over one complete cycle?

  1. ((a))

    The average value of vD(t) v_D(t) becomes zero if the diode orientation is reversed.

  2. ((b))

    The average values of vL(t) v_L(t) and vD(t) v_D(t) are equal in magnitude and opposite in sign.

  3. ((c))

    The rms value of vD(t) v_D(t) equals the rms value of the source voltage.

  4. ((d))

    The average value of vD(t) v_D(t) is zero because the diode conducts for half the cycle.

Show Answer
Answer: ((a))

The average value of vD(t) v_D(t) becomes zero if the diode orientation is reversed.

92

Which device converts mechanical energy into electrical energy through electromagnetic induction?

  1. ((a))

    Battery

  2. ((b))

    Electric motor

  3. ((c))

    Electric generator

  4. ((d))

    Capacitor

Show Answer
Answer: ((a))

Battery

93

If a charge of 2 C placed in an electric field experiences a force of 10 N, what is the magnitude of the electric field at that point?

  1. ((a))

    3NC 3 \frac{N}{C}

  2. ((b))

    2NC 2 \frac{N}{C}

  3. ((c))

    5NC 5 \frac{N}{C}

  4. ((d))

    4NC 4 \frac{N}{C}

Show Answer
Answer: ((a))

3NC 3 \frac{N}{C}

94

In 8051 microcontroller, PSEN is an _____ output signal used as a read strobe for accessing the _____ memory.

  1. ((a))

    active high, internal ram

  2. ((b))

    active low, external program

  3. ((c))

    active low, internal ram

  4. ((d))

    active high, external program

Show Answer
Answer: ((a))

active high, internal ram

95

Which symbol is used to represent a resistor in a circuit diagram?

  1. ((a))

    Circle with pointer

  2. ((b))

    Arrow mark

  3. ((c))

    Zig-zag line

  4. ((d))

    Two parallel plates

Show Answer
Answer: ((a))

Circle with pointer

96

Two resistors 6 Ω \Omega and 3 Ω \Omega are connected in parallel. The total resistance is:

  1. ((a))

    2 Ω \Omega

  2. ((b))

    4 Ω \Omega

  3. ((c))

    9 Ω \Omega

  4. ((d))

    1 Ω \Omega

Show Answer
Answer: ((a))

2 Ω \Omega

97

When the two inputs of a 2-input NAND gate are tied together to form a single input A, the resulting circuit behaves as which logic gate?

  1. ((a))

    NOT gate (Inverter)

  2. ((b))

    OR gate

  3. ((c))

    AND gate

  4. ((d))

    XOR gate

Show Answer
Answer: ((a))

NOT gate (Inverter)

98

A resistor of 10 Ω \Omega is connected to a constant voltage source. When another resistor is connected in series with it, the current in the circuit becomes half of its initial value. Assuming the supply voltage remains unchanged, the resistance of the second resistor is _______.

  1. ((a))

    15 Ω \Omega

  2. ((b))

    10 Ω \Omega

  3. ((c))

    5 Ω \Omega

  4. ((d))

    20 Ω \Omega

Show Answer
Answer: ((a))

15 Ω \Omega

99

If a uniform magnetic field is parallel to the plane of a surface, the magnetic flux through the surface is _______.

  1. ((a))

    infinite

  2. ((b))

    zero

  3. ((c))

    maximum

  4. ((d))

    half of maximum

Show Answer
Answer: ((a))

infinite

100

Which of the following is a fundamental (base) quantity in the SI system?

  1. ((a))

    Work

  2. ((b))

    Pressure

  3. ((c))

    Force

  4. ((d))

    Mass

Show Answer
Answer: ((a))

Work

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