Official Paper

RRB Section Controller Official Paper (Held On: 11 Feb, 2026 Shift 2) (Previous Year Paper)

100 questions · 120 minutes · with answers · free

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Test (100 questions)

1

Study the following pie chart carefully to answer the question that follows.

<br>

The following pie chart shows the percentage-wise distribution of students enrolled in a particular university.

<br>

Total Students = 6500

<br>

What is half of the difference between the number of students in MBA and MBBS?

  1. ((a))

    635 635

  2. ((b))

    765 765

  3. ((c))

    650 650

  4. ((d))

    715 715

Show Answer
Answer: ((a))

635 635

2

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))

    KMQ

  2. ((b))

    PRV

  3. ((c))

    GIL

  4. ((d))

    NPT

Show Answer
Answer: ((a))

KMQ

3

If a man bought 8 board pins for ₹4, and sold them at 5 board pins for ₹9, then the gain percentage is:

  1. ((a))

    250%

  2. ((b))

    270%

  3. ((c))

    280%

  4. ((d))

    260%

Show Answer
Answer: ((a))

250%

4

Saeed allows two successive discounts of 30% and 10% on the marked price of a pen, which is equal to a single discount of ₹592. Then how much profit (in %) will Saeed get on that pen, if the cost price is ₹900?

  1. ((a))

    10%

  2. ((b))

    12%

  3. ((c))

    13%

  4. ((d))

    11%

Show Answer
Answer: ((a))

10%

5

Study the line graph and answer the question that follows.

<br>

The given line graph shows the temperature in °C in a city over six days.

<br>

<br> <br>

What is the difference between the maximum and minimum temperatures recorded?

  1. ((a))

    7°C

  2. ((b))

    4°C

  3. ((c))

    5°C

  4. ((d))

    6°C

Show Answer
Answer: ((a))

7°C

6

In the given figure, O is the centre of the circle. Find ∠BAC.

<br>

  1. ((a))

    80°

  2. ((b))

    72°

  3. ((c))

    65°

  4. ((d))

    84°

Show Answer
Answer: ((a))

80°

7

The following table shows the wages (in ₹) of a group of workers.

Wages (in ₹)20-3030-4040-5050-6060-70
Number of Workers251215135
<br>

Find the median wage. (Round your answer to the nearest paise.)

  1. ((a))

    39.25 39.25

  2. ((b))

    36.75 36.75

  3. ((c))

    34.25 34.25

  4. ((d))

    38.33 38.33

Show Answer
Answer: ((a))

39.25 39.25

8

A, B, C, D, E, F, G and H are sitting around a square table. Some of them are sitting at the corners, while some are sitting at the exact centres of the sides. All of them are facing the centre. Only three people are sitting between B and F when counted from the left of B. D is sitting to the immediate right of F. Only three people are sitting between D and E when counted from the left of D. E is not sitting at any of the corners. Only two people are sitting between G and H when counted from the left of G. A is sitting to the immediate right of G. G is not an immediate neighbour of E. How many people are sitting between C and F, when counted from the right of C?

  1. ((a))

    Two

  2. ((b))

    Zero

  3. ((c))

    One

  4. ((d))

    Three

Show Answer
Answer: ((a))

Two

9

The ratio of the heights of a right circular cone and a right circular cylinder is 6 : 5 and the ratio of the radii of their bases is 4 : 3. If the volume of the cylinder is 630 cm3, then the volume (in cm3) of the cone is:

  1. ((a))

    444

  2. ((b))

    448

  3. ((c))

    449

  4. ((d))

    441

Show Answer
Answer: ((a))

444

10

The following data gives the information on the observed lifetime (in hours) of 225 electronic components.

 

Lifetime (in hours)0 - 1010 - 2020 - 3030 - 4040 - 5050 - 60
Number of electronic components113652613728
<br>

What is the modal lifetime (in hours, rounded to 2 decimal places) of the components?

  1. ((a))

    33.72

  2. ((b))

    32.73

  3. ((c))

    37.32

  4. ((d))

    32.33

Show Answer
Answer: ((a))

33.72

11

Select the letter-cluster that DOES NOT belong to the following series.

<br>

ARN XVK UZH SDF OHB LLY

  1. ((a))

    SDF

  2. ((b))

    OHB

  3. ((c))

    XVK

  4. ((d))

    LLY

Show Answer
Answer: ((a))

SDF

12

The sum of the present ages of Lokesh and Taresh is 28 28 years. After 2 2 years from now, Lokesh's age will be three times that of Taresh. Lokesh's present age (in years) is:

  1. ((a))

    24

  2. ((b))

    19

  3. ((c))

    16

  4. ((d))

    22

Show Answer
Answer: ((a))

24

13

A dealer buys two articles X and Y for ₹8000 ₹8000 each. He marks each of them at the same price. He sells X by giving two successive discounts of 20% and 35% and still earns ₹616 ₹616 as profit. If he sells Y at a single discount of 48%, then what is the profit percentage on Y?

  1. ((a))

    7.7%

  2. ((b))

    7%

  3. ((c))

    6%

  4. ((d))

    6.7%

Show Answer
Answer: ((a))

7.7%

14

Consider the data set: 4,8,6,5,3,9 4, 8, 6, 5, 3, 9 . Find the standard deviation (correct up to two decimal places).

  1. ((a))

    2.31

  2. ((b))

    1.76

  3. ((c))

    1.83

  4. ((d))

    2.11

Show Answer
Answer: ((a))

2.31

15

In what ratio must a grocer mix two varieties of rice worth ₹66 ₹66 per kg and ₹108 ₹108 per kg, so that if he sells the mixture at ₹143 ₹143 per kg, he may gain 43%?

  1. ((a))

    7:11

  2. ((b))

    4:17

  3. ((c))

    1:3

  4. ((d))

    3:16

Show Answer
Answer: ((a))

7:11

Read the given passage and answer questions that follow.

<br>

Tuesday, September 11, 2001, began like any other late-summer morning in the eastern United States — mild, sunlit, and calm. The sky over New York City was an unbroken blue, reflecting off the glass façades of its skyscrapers. Across the country, millions stirred into their daily rhythm — parents preparing children for school, commuters boarding trains, and office workers hurrying toward another routine day. In Lower Manhattan, thousands made their way into the Twin Towers, the proud centerpiece of the World Trade Center complex, unaware that history was quietly converging upon them.

In Arlington, Virginia, the Pentagon’s corridors filled with the measured pace of military precision, while across the Potomac River, Congress reconvened in session, its agenda focused on domestic policy and budgetary matters. At the White House, tourists gathered expectantly for their morning tours, cameras ready to capture an ordinary day in the capital.

Farther south, in Sarasota, Florida, President George W Bush began his day with an early jog before visiting a local school to discuss education reform. Air traffic across the nation operated under perfect conditions — clear skies and steady winds, ideal for flying. Among the countless travellers navigating airports that morning were two men, Mohamed Atta and Abdul Aziz al-Omari, who arrived quietly at Portland International Jetport in Maine.

No one yet knew that within hours, this serene morning would fracture into one of the darkest days in modern history — when calm skies became witnesses to unimaginable tragedy.

16

According to the passage, what was the primary focus of Congress on the morning of September 11, 2001?

  1. ((a))

    It was meeting to review intelligence reports and defence strategies.

  2. ((b))

    It was addressing emergency legislation related to military preparedness.

  3. ((c))

    It was reconvened to discuss domestic policy and budgetary concerns.

  4. ((d))

    It was engaged in debates on foreign policy and national security matters.

Show Answer
Answer: ((a))

It was meeting to review intelligence reports and defence strategies.

17

In which sequence of locations does the passage most clearly trace the morning’s unfolding across the United States?

  1. ((a))

    Washington, D.C. → Maine → New York → Florida

  2. ((b))

    Maine → New York → Florida → Virginia

  3. ((c))

    Florida → Virginia → Maine → New York

  4. ((d))

    New York → Virginia → Washington, D.C. → Florida → Maine

Show Answer
Answer: ((a))

Washington, D.C. → Maine → New York → Florida

18

What can be inferred about the narrative perspective from the way the events are presented?

  1. ((a))

    It mirrors the dispassionate tone of a news report.

  2. ((b))

    It reflects the hindsight of a chronicler aware of the disaster’s magnitude.

  3. ((c))

    It imitates the viewpoint of an eyewitness at the scene.

  4. ((d))

    It adopts the tone of an official government statement.

Show Answer
Answer: ((a))

It mirrors the dispassionate tone of a news report.

19

What main idea does the passage convey by showing an ordinary morning before the attacks?

  1. ((a))

    That peaceful normalcy can hide approaching danger

  2. ((b))

    That weather conditions caused travel problems

  3. ((c))

    That political activity was the focus of the morning

  4. ((d))

    That life in America was dull and repetitive

Show Answer
Answer: ((a))

That peaceful normalcy can hide approaching danger

20

In the context of the phrase 'an ordinary day in the capital', which term expresses the opposite meaning of 'ordinary'?

  1. ((a))

    Monumental

  2. ((b))

    Predictable

  3. ((c))

    Civil

  4. ((d))

    Routine

Show Answer
Answer: ((a))

Monumental

21

Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair 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))

    PT - NR

  2. ((b))

    JK - JI

  3. ((c))

    QU - OS

  4. ((d))

    JN - HL

Show Answer
Answer: ((a))

PT - NR

22

The prices of each article of types P, Q, and R are ₹280 ₹280 , ₹180 ₹180 , and ₹110 ₹110 , respectively. Shanu buys articles of each type in the ratio 3:2:5 3 : 2 : 5 for a total of ₹7000 ₹7000 . How many articles of type Q did he purchase?

  1. ((a))

    10

  2. ((b))

    8

  3. ((c))

    4

  4. ((d))

    6

Show Answer
Answer: ((a))

10

23

A man buys 13 13 identical articles for a total of ₹15 ₹15 . If he sells each of them for ₹1.6 ₹1.6 , then what is his profit percentage?

(Round off your answer to two decimal places.)

  1. ((a))

    38.67%

  2. ((b))

    28.87%

  3. ((c))

    27.87%

  4. ((d))

    39.675

Show Answer
Answer: ((a))

38.67%

24

The average of 7 7 numbers is 57 57 . If each number is increased by 7 7 , what will the new average be?

  1. ((a))

    8

  2. ((b))

    57

  3. ((c))

    64

  4. ((d))

    71

Show Answer
Answer: ((a))

8

25

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

<br>

DK-GM-IL

GN-JP-LO

  1. ((a))

    JQ-MS-PR

  2. ((b))

    IQ-MT-PR

  3. ((c))

    IQ-MS-PR

  4. ((d))

    JQ-MS-OR

Show Answer
Answer: ((a))

JQ-MS-PR

26

Six boxes A, B, C, D, E, and F are kept one over the other but not necessarily in the same order. D is kept third from the bottom. Only one box is kept between D and F. A is kept immediately below B. C is kept immediately below D. E is kept immediately above B.

Which box is third from the top?

  1. ((a))

    E

  2. ((b))

    B

  3. ((c))

    A

  4. ((d))

    F

Show Answer
Answer: ((a))

E

27

The following pie chart shows the details of material used in the construction of a building. The total cost of construction is ₹25,00,000 ₹25,00,000 . Study the chart and answer the question that follows.

<br>

<br> <br>

Calculate the expenditure on iron, bricks and cement used in the construction of the building.

  1. ((a))

    ₹12,50,000

  2. ((b))

    ₹14,50,000

  3. ((c))

    ₹15,50,000

  4. ((d))

    ₹17,50,000

Show Answer
Answer: ((a))

₹12,50,000

28

The 11th term of the A.P. whose first and second terms are 32 and 9 , is:

  1. ((a))

    -201

  2. ((b))

    -197

  3. ((c))

    -195

  4. ((d))

    -198

Show Answer
Answer: ((a))

-201

29

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))

    VSMK

  2. ((b))

    RPJG

  3. ((c))

    CZTR

  4. ((d))

    LICA

Show Answer
Answer: ((a))

VSMK

30

Each of G, H, I, J, N, O and P has a flight on a different day of a week starting from Monday and ending on Sunday of the same week. Only three people have a flight between H and G. Only one person has a flight between P and N. O has a flight immediately the day before I. Only two people have a flight before H. J doesn't have a flight on Friday. P has a flight immediately after J. How many people have a flight before J?

  1. ((a))

    One

  2. ((b))

    None

  3. ((c))

    Two

  4. ((d))

    Three

Show Answer
Answer: ((a))

One

Read the given passage carefully and answer the questions that follow.

<br>

Waste is among the most pressing environmental issues in India. As the world's second-most populous nation with nearly 1.4 billion people, India inevitably generates a staggering 277 million tonnes of Municipal Solid Waste (MSW) annually. Experts estimate that by 2030, MSW is likely to reach 387.8 million tonnes and will more than double the current value by 2050. India’s rapid urbanisation makes waste management extremely challenging. Currently, about 5% of the total collected waste is recycled, 18% is composted, and the remaining is dumped at landfill sites.

The plastic crisis in India is one of the worst on the planet. According to the Central Pollution Control Board (CPCB), India currently produces more than 25,000 tonnes of plastic waste every day on average, which accounts for almost 6% of the total solid waste generated in the country. India stands second among the top 20 countries having a high proportion of riverine plastic emissions, both nationally and globally. The Indus, Brahmaputra, and Ganges rivers are known as the ‘highways of plastic flows’ as they carry and drain most of the plastic debris in the country. Together with ten other topmost polluted rivers, they leak nearly 90% of plastics into the sea globally.

To tackle this issue, in 2020, the government announced that it would ban the manufacture, sale, distribution, and use of single-use plastics from July 1, 2022, onwards.

31

Which of the following most accurately states the main idea of the passage?

  1. ((a))

    The high rate of plastic waste generation (25,000 tonnes daily) and India's second-place ranking in riverine pollution.

  2. ((b))

    The catastrophic effect of riverine plastic emissions from the Ganges, Indus, and Brahmaputra on global oceans.

  3. ((c))

    The vast scale and specific challenges of municipal solid waste and plastic pollution in India.

  4. ((d))

    Expert estimates show the massive projected increase in India's Municipal Solid Waste (MSW) production by 2030 and 2050.

Show Answer
Answer: ((a))

The high rate of plastic waste generation (25,000 tonnes daily) and India's second-place ranking in riverine pollution.

32

Which is the best description of the tone of the passage?

  1. ((a))

    Optimistic and celebratory

  2. ((b))

    Serious and cautionary

  3. ((c))

    Humorous and entertaining

  4. ((d))

    Casual and conversational

Show Answer
Answer: ((a))

Optimistic and celebratory

33

What is the synonym of the word ‘dumped‘ from the passage?

  1. ((a))

    Protected

  2. ((b))

    Decorated

  3. ((c))

    Domesticated

  4. ((d))

    Discarded

Show Answer
Answer: ((a))

Protected

34

Which of the following represents the structure of the passage?

  1. ((a))

    Chronological

  2. ((b))

    Definition

  3. ((c))

    Compare-Contrast

  4. ((d))

    Problem-Solution

Show Answer
Answer: ((a))

Chronological

35

What is the ANTONYM of the word 'challenging’?

  1. ((a))

    Frequent

  2. ((b))

    Tolerable

  3. ((c))

    Manageable

  4. ((d))

    Uninspiring

Show Answer
Answer: ((a))

Frequent

36

A worker earns ₹1,200 for working 8 hours. At the same rate, how much will he earn for working 12 hours?

  1. ((a))

    ₹1,800

  2. ((b))

    ₹1,400

  3. ((c))

    ₹2,000

  4. ((d))

    ₹2,200

Show Answer
Answer: ((a))

₹1,800

37

78 is related to 97 following a certain logic. Following the same logic, 117 is related to 136. To which of the given options is 148 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))

    167

  2. ((b))

    183

  3. ((c))

    171

  4. ((d))

    159

Show Answer
Answer: ((a))

167

38

The H.C.F. and the L.C.M. of two numbers are 18 and 540, respectively. If one of the numbers is 90, then find the other number.

  1. ((a))

    108

  2. ((b))

    144

  3. ((c))

    72

  4. ((d))

    126

Show Answer
Answer: ((a))

108

39

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

<br>

TVT−PRP

BDB−XZX

  1. ((a))

    OQO−JMJ

  2. ((b))

    OPM−KMK

  3. ((c))

    OQO−KMK

  4. ((d))

    OPM−JLJ

Show Answer
Answer: ((a))

OQO−JMJ

Read the given passage and answer questions that follow.

<br>

The Ajanta and Ellora caves, nestled in the rugged hills of Maharashtra, stand as monumental testaments to India’s artistic and spiritual legacy. Carved meticulously between the 2nd century BCE and the 10th century CE, these rock-cut sanctuaries embody the seamless blend of devotion, architecture, and aesthetic mastery. The Ajanta caves, primarily Buddhist, depict the evolution of Buddhist thought through exquisite murals, sculptures, and chaitya halls that narrate the Jataka tales—the stories of the Buddha’s previous lives. Their walls come alive with vibrant frescoes that capture both divine and human emotions, executed with natural pigments that have withstood centuries. Ellora, located a short distance away, is celebrated for its religious plurality—housing Buddhist, Hindu, and Jain monuments within a single complex. The crowning jewel, the Kailasa Temple (Cave 16), carved from a single basalt rock, is a marvel of engineering and imagination. Dedicated to Lord Shiva, it replicates Mount Kailasa and symbolizes the cosmic centre of creation. The intricate carvings, soaring pillars, and multi-tiered structures reflect a synthesis of art and devotion unparalleled in world architecture. Together, Ajanta and Ellora transcend time, offering insight into India’s cultural harmony and artistic brilliance. They are not merely monuments but living galleries—chiselled by faith, guided by precision, and preserved as echoes of an era where art was prayer and stone became scripture.

40

According to the passage, which feature of the Ajanta caves is directly responsible for conveying the evolution of Buddhist thought?

  1. ((a))

    The execution of frescoes using natural pigments that endured over time

  2. ((b))

    The chaitya halls and sculptural programs narrating the Jataka tales

  3. ((c))

    The depiction of divine and human emotions through mural techniques

  4. ((d))

    The chronological span of cave excavation from the 2nd century BCE onward

Show Answer
Answer: ((a))

The execution of frescoes using natural pigments that endured over time

41

What specific aspect of the Kailasa Temple is presented as evidence of its architectural and symbolic ambition?

  1. ((a))

    Its dedication to Lord Shiva as a sacred embodiment of Mount Kailasa

  2. ((b))

    Its excavation from a single basalt rock forming a multi-tiered structure

  3. ((c))

    Its location within a complex containing monuments of multiple faiths

  4. ((d))

    Its intricate carvings and soaring pillars reflecting artistic devotion

Show Answer
Answer: ((a))

Its dedication to Lord Shiva as a sacred embodiment of Mount Kailasa

42

The author’s description of Ajanta and Ellora as “living galleries” most plausibly implies that these sites:

  1. ((a))

    Were primarily designed for public exhibition rather than worship

  2. ((b))

    Functioned as static repositories of religious artefacts

  3. ((c))

    Remain dynamic conveyors of cultural and spiritual meaning

  4. ((d))

    Continue to attract modern artistic reinterpretations

Show Answer
Answer: ((a))

Were primarily designed for public exhibition rather than worship

43

From the passage’s treatment of Ellora’s religious plurality, one may reasonably infer that the creators of the complex endorsed:

  1. ((a))

    A neutral artistic agenda detached from theological significance

  2. ((b))

    An integrative cultural framework accommodating multiple belief systems

  3. ((c))

    Sequential religious dominance reflected through architectural change

  4. ((d))

    Competitive religious expression within a shared geographic space

Show Answer
Answer: ((a))

A neutral artistic agenda detached from theological significance

44

The frescoes of Ajanta are described as “vibrant”. Which option best conveys the antonym of this term in the given context?

  1. ((a))

    Walls whose imagery lacks visual vitality and expressive force

  2. ((b))

    Murals that evoke divine and human emotion through colour

  3. ((c))

    Frescoes preserved as evidence of artistic mastery

  4. ((d))

    Paintings rendered with pigments resilient to time

Show Answer
Answer: ((a))

Walls whose imagery lacks visual vitality and expressive force

45

A train P going at the speed of 33 km/h 33\text{ km/h} completely passes train Q of length 452 m 452\text{ m} , going in the same direction on parallel tracks, at 24 km/h 24\text{ km/h} , in 9.5 minutes 9.5\text{ minutes} . How much time (in seconds) will P take to completely cross train R of length 482 m 482\text{ m} , going at 21 km/h 21\text{ km/h} in the opposite direction?

  1. ((a))

    112

  2. ((b))

    97

  3. ((c))

    83

  4. ((d))

    96

Show Answer
Answer: ((a))

112

46

F is the sister of G. G is the brother of S. T is the father of V. V is the son of S. How is F related to T?

  1. ((a))

    Father's sister

  2. ((b))

    Wife's sister

  3. ((c))

    Wife's mother

  4. ((d))

    Sister

Show Answer
Answer: ((a))

Father's sister

47

Eight people are sitting in two parallel rows containing 4 people each in such a way that there is equal distance between adjacent persons.

<br>

In row 1 – S, T, U and V are seated and all of them are facing south.

In row 2 – C, D, E and F are seated and all of them are facing north.

Thus each person faces another person from the other row.

T sits third to the right of S. The one facing F is an immediate neighbour of S. The one facing V is an immediate neighbour of F. The one facing T is an immediate neighbour of D. C sits at some place to the left of E.

<br>

Who amongst the following faces D?

  1. ((a))

    U

  2. ((b))

    T

  3. ((c))

    V

  4. ((d))

    S

Show Answer
Answer: ((a))

U

48

In a room with dimensions 20m × 15m × 12m has a rectangular window of dimension 1m × 2m through which fresh air flows into the room. What should be the airflow rate (in m/min) through the window per unit area so that one-fourth of the air in the room would change every hour?

  1. ((a))

    9

  2. ((b))

    2.5

  3. ((c))

    7.5

  4. ((d))

    4

Show Answer
Answer: ((a))

9

49

A data set consists of six test scores: 18, 22, 24, 28, 30, and 35. Find the median of this data set.

  1. ((a))

    28

  2. ((b))

    26

  3. ((c))

    32

  4. ((d))

    24

Show Answer
Answer: ((a))

28

50

A and B started a business with investments in the ratio 5 : 6. After 6 months, A increased his investment by 60% and B decreased his investment by 25%. At the end of the year, the total profit was ₹28,153. Find A’s share in the profit.

  1. ((a))

    ₹21,616

  2. ((b))

    ₹13,616

  3. ((c))

    ₹10,616

  4. ((d))

    ₹15,574

Show Answer
Answer: ((a))

₹21,616

51

A can complete a piece of work in 21 days and B can complete it in 11 days. If they work on alternate days, starting with B on the first day, then in how many days will the work be completed?

  1. ((a))

    14

  2. ((b))

    15

  3. ((c))

    151315\frac{1}{3}

  4. ((d))

    141314\frac{1}{3}

Show Answer
Answer: ((a))

14

52

The simplified value of (6310×213×2819)(639×212×2818)\frac{(63^{10} \times 2^{13} \times 28^{19})}{(63^9 \times 2^{12} \times 28^{18})} is

  1. ((a))

    3536

  2. ((b))

    3527

  3. ((c))

    3528

  4. ((d))

    3530

Show Answer
Answer: ((a))

3536

53

The 7-digit number 34A690B is divisible by 3. What is the maximum value of (A+B) (A + B) ?

  1. ((a))

    18

  2. ((b))

    16

  3. ((c))

    17

  4. ((d))

    14

Show Answer
Answer: ((a))

18

54

Each of the digits in the number 2597836 is arranged in ascending order from left to right. What will be the sum of the digits that are second from the left and second from the right in the new number thus formed?

  1. ((a))

    13

  2. ((b))

    9

  3. ((c))

    7

  4. ((d))

    11

Show Answer
Answer: ((a))

13

55

The sum of two positive numbers is 59 and their product is 564. The positive difference between them is:

  1. ((a))

    35

  2. ((b))

    34

  3. ((c))

    55

  4. ((d))

    47

Show Answer
Answer: ((a))

35

56

A mobile phone is marked at ₹88,500. After applying successive discounts of 8%, 5% and 2%, what will be its final selling price (in ₹), rounded to the nearest integer?

  1. ((a))

    74,098

  2. ((b))

    75,802

  3. ((c))

    76,781

  4. ((d))

    72,345

Show Answer
Answer: ((a))

74,098

57

The position(s) of how many letters will remain unchanged if each letter in the word JOURNAL is arranged in the English alphabetical order?

  1. ((a))

    0

  2. ((b))

    1

  3. ((c))

    2

  4. ((d))

    3

Show Answer
Answer: ((a))

0

58

The simplified value of 81−[54−(56÷8−(18−32÷4)÷4)] 81 - [54 - (56 \div 8 - (18 - 32 \div 4) \div 4)] is:

  1. ((a))

    652\frac{65}{2}

  2. ((b))

    632\frac{63}{2}

  3. ((c))

    732\frac{73}{2}

  4. ((d))

    712\frac{71}{2}

Show Answer
Answer: ((a))

652\frac{65}{2}

59

A and B can do a work in 2 days. If A alone can do it in 4 days, then in how many days can B alone do 70-times of the same work?

  1. ((a))

    260

  2. ((b))

    281

  3. ((c))

    272

  4. ((d))

    280

Show Answer
Answer: ((a))

260

60

Sonali has a hemispherical pot having a radius of 21 cm. How much water (in litres) can be filled in it?

(Use π=227 \pi = \frac{22}{7} )

  1. ((a))

    19.404

  2. ((b))

    9.702

  3. ((c))

    28.702

  4. ((d))

    38.808

Show Answer
Answer: ((a))

19.404

61

If each of the digits in the number cluster 5389436 is arranged in ascending order from left to right, the position of how many digits will remain unchanged as compared to that in the original number?

  1. ((a))

    Three

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Four

Show Answer
Answer: ((a))

Three

62

Find mode for the following distribution.

Class intervalFrequency
0-808
8-167
16-2416
24-3224
32-4015
40-487

(Round off your answer to two decimal places)

  1. ((a))

    29.16 29.16

  2. ((b))

    23.56 23.56

  3. ((c))

    27.76 27.76

  4. ((d))

    24.86 24.86

Show Answer
Answer: ((a))

29.16 29.16

63

By how much is 30% of 65 greater than 35% of 40?

  1. ((a))

    5.5

  2. ((b))

    7.5

  3. ((c))

    2.5

  4. ((d))

    0.5

Show Answer
Answer: ((a))

5.5

64

In a certain code language, ‘came after me’ is coded as ‘bg sp zh’ and ‘who came first’ is coded as ‘km cy sp’. How is ‘came’ coded in the given language?

  1. ((a))

    cy

  2. ((b))

    zh

  3. ((c))

    bg

  4. ((d))

    sp

Show Answer
Answer: ((a))

cy

65

Three numbers are in the ratio 1:2:3. If their LCM is 198, find their HCF.

  1. ((a))

    9

  2. ((b))

    11

  3. ((c))

    18

  4. ((d))

    33

Show Answer
Answer: ((a))

9

66

In a triangle PQR PQR , QE⊥PR QE \perp PR , RD⊥PQ RD \perp PQ . RD RD and QE QE intersect each other at O O . The bisectors of ∠OQR \angle OQR and ∠ORQ \angle ORQ meet at M M .

If ∠QMR=138∘ \angle QMR = 138^\circ , then which of the following statements is true?

  1. ((a))

    ∠\angleDPE has measurement of 84º

  2. ((b))

    ∠ \angle ROQ has measurement of 116º

  3. ((c))

    ∠ \angle PQR + ∠\anglePRQ = 120º

  4. ((d))

    ∠\angleEOD is a right angle

Show Answer
Answer: ((a))

∠\angleDPE has measurement of 84º

67

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

<br>

(Left) 6 7 5 1 7 1 2 7 6 4 3 9 4 5 3 2 3 5 1 6 8 4 6 2 4 5 8 (Right)

<br>

How many such even numbers are there that are immediately preceded by an odd number and also immediately followed by an odd number?

  1. ((a))

    Two

  2. ((b))

    Five

  3. ((c))

    Three

  4. ((d))

    Four

Show Answer
Answer: ((a))

Two

68

A man adds water to milk to gain profit. He mixes water with milk worth ₹70/litre to get a final mixture costing ₹55/litre. What is the ratio of milk to water in the mixture?

  1. ((a))

    8:3

  2. ((b))

    12:5

  3. ((c))

    9:4

  4. ((d))

    11:3

Show Answer
Answer: ((a))

8:3

69

A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio 5 : 12, then the ratio of the total surface area of the cylinder to that of the cone is:

  1. ((a))

    17:9

  2. ((b))

    16:5

  3. ((c))

    0.5875

  4. ((d))

    12:4

Show Answer
Answer: ((a))

17:9

70

In what ratio must a grocer mix two varieties of wheat worth ₹68 per kg and ₹128 per kg, so that if he sells the mixture at ₹138 per kg, he may gain 38%?

  1. ((a))

    1:1

  2. ((b))

    7:8

  3. ((c))

    15:17

  4. ((d))

    17:13

Show Answer
Answer: ((a))

1:1

71

A large cuboid-shaped container has the following dimensions: length = 15 meters, width = 8 meters, and height = 6 meters. A cube-shaped object with an edge length of 4 meters is placed inside the container. How many such cubes can be placed inside the container without any part sticking out?

  1. ((a))

    12

  2. ((b))

    10

  3. ((c))

    6

  4. ((d))

    8

Show Answer
Answer: ((a))

12

72

A hemispherical dome of radius 14 m is to be painted both inside and outside. If the cost of painting is ₹45 per m2 and a platform costing ₹1,200 is needed for the work, find the total cost. (Use π = 227) (Use \ \pi \ = \ \frac{22}{7})

  1. ((a))

    ₹1,12,080

  2. ((b))

    ₹1,14,500

  3. ((c))

    ₹1,10,200

  4. ((d))

    ₹1,08,500

Show Answer
Answer: ((a))

₹1,12,080

73

Each of G, H, I, J, N, O and P has a flight on a different day of a week, starting from Monday and ending on Sunday of the same week. N has a flight immediately before I. P has a flight on one of the days after G. Only three people have flights before O. H has a flight immediately after I. Only one person has a flight after J. How many people have flights between P and H?

  1. ((a))

    Three

  2. ((b))

    Two

  3. ((c))

    One

  4. ((d))

    Four

Show Answer
Answer: ((a))

Three

74

A circular ground has a radius of 42 meters. A running track surrounds this ground, and it is 7 meters wide. Find the outer perimeter of the running track. (Use π=227 \pi = \frac{22}{7} )

  1. ((a))

    254 meters

  2. ((b))

    224 meters

  3. ((c))

    308 meters

  4. ((d))

    154 meters

Show Answer
Answer: ((a))

254 meters

75

Two fair six-sided dice which have numbers from 1 to 6 on their faces are rolled. What is the probability that the sum of the numbers rolled is greater than 8?

  1. ((a))

    49 \frac{4}{9}

  2. ((b))

    15 \frac{1}{5}

  3. ((c))

    13 \frac{1}{3}

  4. ((d))

    518 \frac{5}{18}

Show Answer
Answer: ((a))

49 \frac{4}{9}

76

Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?

<br>

: HKO :: FIM : %

  1. ((a))

    = KNR, % = CFJ

  2. ((b))

    = KNJ, % = CJK

  3. ((c))

    = KLJ, % = CKL

  4. ((d))

    = POR, % = CNJ

Show Answer
Answer: ((a))

= KNR, % = CFJ

77

Find the class interval corresponding to the class mark xi = 27, where the lower limit of the first continuous class interval is 7.

xifi
113
197
2711
355
433
  1. ((a))

    21 – 33

  2. ((b))

    24 – 30

  3. ((c))

    23 – 31

  4. ((d))

    22 – 32

Show Answer
Answer: ((a))

21 – 33

78

AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 65°. G is a point between AB and CD such that ∠BEG = 22° and ∠GFE = 12°. What is the measure of ∠EGF?

  1. ((a))

    88°

  2. ((b))

    75°

  3. ((c))

    73°

  4. ((d))

    63°

Show Answer
Answer: ((a))

88°

79

Two trains, 280 meters and 290 meters in length, are running in opposite directions. The first train runs at the rate of 60 km/h and the second train at the rate of 48 km/h. How long will they take to cross each other?

  1. ((a))

    25 seconds

  2. ((b))

    17 seconds

  3. ((c))

    19 seconds

  4. ((d))

    12 seconds

Show Answer
Answer: ((a))

25 seconds

80

What will come in place of the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?

16 ÷ 2 − 48 × 6 + 15 = ?

  1. ((a))

    20

  2. ((b))

    28

  3. ((c))

    25

  4. ((d))

    17

Show Answer
Answer: ((a))

20

81

In an A.P., the common difference is -7 and the first term is 31. Find the 10th term.

  1. ((a))

    -32

  2. ((b))

    -29

  3. ((c))

    -30

  4. ((d))

    -33

Show Answer
Answer: ((a))

-32

82

Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).

<br>

Statements:

All vegetables are leeches.

All fruits are leeches.

<br>

Conclusions:

(I): Some vegetables are fruits.

(II): Some leeches are fruits.

  1. ((a))

    Neither conclusion (I) nor (II) follows

  2. ((b))

    Only conclusion (I) follows

  3. ((c))

    Only conclusion (II) follows

  4. ((d))

    Both conclusions (I) and (II) follow

Show Answer
Answer: ((a))

Neither conclusion (I) nor (II) follows

83

The circumference of the base of a cylindrical vessel is 440 440 cm and its height is 25 25 cm. How many litres of water can it hold?

  1. ((a))

    399

  2. ((b))

    385

  3. ((c))

    424

  4. ((d))

    249

Show Answer
Answer: ((a))

399

84

What will come in the place of the question mark (?) in the following equation, if '+' and '−' are interchanged and ‘×’ and ‘÷’ are interchanged?

<br>

304−17÷11+253×11=? 304 - 17 \div 11 + 253 \times 11 = ?

  1. ((a))

    466

  2. ((b))

    468

  3. ((c))

    475

  4. ((d))

    470

Show Answer
Answer: ((a))

466

85

Five car accidents occurred in a week. What is the probability that they all occurred on the same day?

  1. ((a))

    154\frac{1}{5^4}

  2. ((b))

    174\frac{1}{7^4}

  3. ((c))

    175\frac{1}{7^5}

  4. ((d))

    157\frac{1}{5^7}

Show Answer
Answer: ((a))

154\frac{1}{5^4}

86

What should come in place of the question mark (?) in the given series?

<br>

212 213 217 226 242 ?

  1. ((a))

    265

  2. ((b))

    264

  3. ((c))

    267

  4. ((d))

    266

Show Answer
Answer: ((a))

265

87

The 7-digit number 23A908B is divisible by 3. What is the maximum value of (A + B)?

  1. ((a))

    13

  2. ((b))

    14

  3. ((c))

    17

  4. ((d))

    16

Show Answer
Answer: ((a))

13

88

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

<br>

(Left) 2 8 # $ 2 4 @ 5 7 5 9 @ 9 \ > & 7 9 @ > * ^ & (Right)

<br>

How many such numbers are there each of which is immediately preceded by a symbol and also immediately followed by a symbol?

  1. ((a))

    Zero

  2. ((b))

    Two

  3. ((c))

    One

  4. ((d))

    Three

Show Answer
Answer: ((a))

Zero

89

q q is the mean proportional of p p and r r . q2 q^2 is the mean proportional of p2r p^2r and r3 r^3 . Find the value of q q if p=169 p = 169 , where p,q,r p, q, r are natural numbers.

  1. ((a))

    52

  2. ((b))

    45

  3. ((c))

    13

  4. ((d))

    26

Show Answer
Answer: ((a))

52

90

A person saves 90% of his income. If his expenditure is ₹600, then his income (in ₹) is:

  1. ((a))

    6080

  2. ((b))

    6040

  3. ((c))

    5400

  4. ((d))

    6000

Show Answer
Answer: ((a))

6080

91

Find the sum of all prime numbers greater than 2 but less than 30.

  1. ((a))

    129

  2. ((b))

    136

  3. ((c))

    178

  4. ((d))

    127

Show Answer
Answer: ((a))

129

92

The simplified value of 7033\frac{70}{33}x (95+40) + 24 is

  1. ((a))

    342211\frac{3422}{11}

  2. ((b))

    341411\frac{3414}{11}

  3. ((c))

    340511\frac{3405}{11}

  4. ((d))

    340611\frac{3406}{11}

Show Answer
Answer: ((a))

342211\frac{3422}{11}

93

The curved surface area and the total surface area of a cylinder are in the ratio 1:16. If the total surface area of the right cylinder is 6028.8 cm2, then its volume (in cm3) is:

<br>

(Take π=3.14) (Take\ \pi = 3.14) 1565

  1. ((a))

    5648

  2. ((b))

    5656

  3. ((c))

    5652

  4. ((d))

    5624

Show Answer
Answer: ((a))

5648

94

If x is added to the numbers 2, 8, 1, 5, the resulting numbers, in order, are in proportion. Find the mean proportion of the terms 2x+1 2x + 1 and 5x−2 5x - 2 .

  1. ((a))

    5

  2. ((b))

    1

  3. ((c))

    7

  4. ((d))

    3

Show Answer
Answer: ((a))

5

95

In the following series, only one letter-cluster is incorrect. Select the INCORRECT letter-cluster.

<br>

ELS BIP YFM VCJ SZG PVD

  1. ((a))

    VCJ

  2. ((b))

    SZG

  3. ((c))

    PVD

  4. ((d))

    YFM

Show Answer
Answer: ((a))

VCJ

96

Find the value of m for which it satisfies

(172)4×(217)6×(172)3=(217)4m+16\left(\frac{17}{2}\right)^4 \times \left(\frac{2}{17}\right)^6 \times \left(\frac{17}{2}\right)^3 = \left(\frac{2}{17}\right)^{4m+16}

  1. ((a))

    −94-\frac{9}{4}

  2. ((b))

    −154-\frac{15}{4}

  3. ((c))

    −134-\frac{13}{4}

  4. ((d))

    −174-\frac{17}{4}

Show Answer
Answer: ((a))

−94-\frac{9}{4}

97

The mean and mode of a data set are 52 52 and 55 55 , respectively. Find the median of the data set.

  1. ((a))

    51

  2. ((b))

    48

  3. ((c))

    50

  4. ((d))

    53

Show Answer
Answer: ((a))

51

98

The average of the numbers 6.5,10.6,20.3 6.5, 10.6, 20.3 and a a is 18 18 . The value of a a is:

  1. ((a))

    35.6

  2. ((b))

    36.6

  3. ((c))

    34.6

  4. ((d))

    33.6

Show Answer
Answer: ((a))

35.6

99

The following frequency distribution represents the monthly electricity consumption of 60 consumers in a locality.

Monthly Consumption (in units)Number of
consumers
50 - 655
65 - 808
80 - 9512
95 - 11018
110 - 12510
125 - 1407
<br>

What is the median of the data (correct to 2 decimal places)?

  1. ((a))

    73.27

  2. ((b))

    99.17

  3. ((c))

    81.19

  4. ((d))

    85.13

Show Answer
Answer: ((a))

73.27

100

The perimeter of an isosceles triangle is 36 cm and the altitude to its base is 12 cm. Find the area of the triangle (in cm2 ^2 ).

  1. ((a))

    60

  2. ((b))

    120

  3. ((c))

    140

  4. ((d))

    90

Show Answer
Answer: ((a))

60

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