Official Paper

RRB Section Controller Official Paper (Held On: 11 Feb, 2026 Shift 1) (Previous Year Paper)

100 questions · 120 minutes · with answers · free

Attempt as Timed Mock Test

Test (100 questions)

1

Simplify: 289+0.0289−4.84\sqrt{289} + \sqrt{0.0289} - \sqrt{4.84}

  1. ((a))

    14.97

  2. ((b))

    8.19

  3. ((c))

    1.11

  4. ((d))

    8.76

Show Answer
Answer: ((a))

14.97

Read the passage and answer the questions that follow.

<br>

To succeed in today’s competitive world, businesses must regularly review their methods and look for new ways to improve. Innovation means introducing fresh ideas, improving products or services, and finding more efficient ways to work. It helps companies boost profits, reduce costs, and satisfy customers. Technology can make products or services better, but it should be used wisely. Businesses must ensure that new tools or systems truly benefit their customers. For example, companies producing cars or appliances often have research teams to improve product quality and performance. Listening to customer feedback helps companies understand what people want. When McDonald’s noticed that customers wanted healthier meals, it added salads and fruit to the menu and removed the “super-size” option. Sometimes innovation means creating new products for new markets. For instance, Nintendo expanded its audience in 2006 by launching the Wii, which appealed not only to boys but also to girls and older adults through games like Cooking Mama and Brain Training. Modern lifestyles demand convenience. Many people now prefer online banking, home deliveries, or mobile services instead of visiting stores or offices. Although not every innovation succeeds, trying new ideas allows businesses to grow, adapt, and better understand their customers.

2

Identify the central theme of the passage.

  1. ((a))

    The role of innovation in sustaining business growth and relevance

  2. ((b))

    The dangers of relying excessively on technology

  3. ((c))

    The growing disconnection between companies and their consumers

  4. ((d))

    The decline of traditional business models in the digital era

Show Answer
Answer: ((a))

The role of innovation in sustaining business growth and relevance

3

Which of the following facts is explicitly stated in the passage?

  1. ((a))

    Businesses must prioritize expansion over customer satisfaction

  2. ((b))

    Companies should abandon technology to maintain authenticity

  3. ((c))

    McDonald’s added salads and fruit to meet consumer demand for healthier meals

  4. ((d))

    Nintendo failed to reach new audiences through its Wii console

Show Answer
Answer: ((a))

Businesses must prioritize expansion over customer satisfaction

4

Which of the following best reflects the connection to real-life business situations?

  1. ((a))

    Rigid adherence to traditional practices ensures stability

  2. ((b))

    Technological innovation alone guarantees profitability

  3. ((c))

    Businesses that anticipate and respond to social trends maintain long-term success

  4. ((d))

    Ignoring customer preferences strengthens brand loyalty

Show Answer
Answer: ((a))

Rigid adherence to traditional practices ensures stability

5

Identify the tone of the passage.

  1. ((a))

    Satirical and mocking

  2. ((b))

    Analytical and optimistic

  3. ((c))

    Indifferent and detached

  4. ((d))

    Pessimistic and cautionary

Show Answer
Answer: ((a))

Satirical and mocking

6

Identify the antonym of the word 'adapt'.

  1. ((a))

    Resist

  2. ((b))

    Create

  3. ((c))

    Expand

  4. ((d))

    Observe

Show Answer
Answer: ((a))

Resist

Read the passage and answer the questions.

<br>

Spiders inhabit every continent except Antarctica and play dual roles as predators and prey. They employ varied hunting tactics — spinning intricate webs to ensnare victims or ambushing them from concealment. Except for the herbivorous Bagheera kiplingi, these eight-legged carnivores subsist mainly on insects, though some consume lizards, birds, frogs, fish, or even snakes. Certain species prey on other spiders, while female widow spiders notoriously devour their mates. Spiders themselves fall victim to lizards, birds, scorpions, and even parasitic wasps that entomb them alive. In parts of the South Pacific and Southeast Asia, they are considered edible delicacies. Most spiders possess venom designed to immobilise prey, not humans. Only about 25 known species produce venom harmful to humans, and fatalities are exceedingly rare. The feared Sydney funnel-web spider has caused no deaths since the 1981 anti-venom. Hairy spiders such as tarantulas defend themselves by releasing urticating hairs that irritate skin and eyes. Spiders create multiple kinds of silk — some adhesive for trapping, others remarkably strong. Orb-weaver silk rivals steel in tensile strength, and scientists have replicated it synthetically for applications from artificial tissue to resilient sportswear. Despite their adaptability, spiders generally remain near their habitats; only 'ballooning spiders' travel long distances. Ironically, although many fear them, less than 2% of species are harmful to humans.

7

Which title best encapsulates the passage?

  1. ((a))

    Deadly Predators of the Insect World

  2. ((b))

    Webs of Death and Silk of Steel

  3. ((c))

    Spiders: Fearsome Yet Fascinating Creatures

  4. ((d))

    Arachnophobia: A Human Weakness

Show Answer
Answer: ((a))

Deadly Predators of the Insect World

8

Which spider is known to have caused no fatalities since the anti-venom’s development in 1981?

  1. ((a))

    Orb-weaver spider

  2. ((b))

    Widow spider

  3. ((c))

    Sydney funnel-web spider

  4. ((d))

    Tarantula

Show Answer
Answer: ((a))

Orb-weaver spider

9

What does the passage suggest about the perception versus reality of spiders?

  1. ((a))

    Though generally feared, almost 98 percent of spider species are harmless to humans.

  2. ((b))

    They are far more dangerous than people realise.

  3. ((c))

    They are responsible for widespread disease.

  4. ((d))

    They survive best in Arctic conditions.

Show Answer
Answer: ((a))

Though generally feared, almost 98 percent of spider species are harmless to humans.

10

According to the passage, spider silk replication is significant because ____________________________.

  1. ((a))

    it can eliminate natural predators

  2. ((b))

    it enables scientists to produce a material with exceptional tensile strength.

  3. ((c))

    it may replace metal in construction

  4. ((d))

    it allows mass spider farming

Show Answer
Answer: ((a))

it can eliminate natural predators

11

Identify the synonym of the word 'replicated' as used in the passage.

  1. ((a))

    Modified

  2. ((b))

    Copied

  3. ((c))

    Destroyed

  4. ((d))

    Tested

Show Answer
Answer: ((a))

Modified

12

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

In row 1 – C, D, E and F are seated and all of them are facing south.

In row 2 – J,K, L and M are seated and all of them are facing north.

Thus each person faces another person from the other row. C sits third to the right of E. The one facing M is an immediate neighbour of E. The one facing D is an immediate neighbour of M. The one facing C is an immediate neighbour of L.J sits at some place to the left of K.

Who amongst the following faces L?

  1. ((a))

    F

  2. ((b))

    C

  3. ((c))

    E

  4. ((d))

    D

Show Answer
Answer: ((a))

F

13

A brick measures 5 m in length, 4 m in breadth and 3 cm in height. How many bricks will be used to make a wall of length 15 m, breadth 20 m and height 4 m?

  1. ((a))

    200

  2. ((b))

    20,000

  3. ((c))

    20

  4. ((d))

    2,000

Show Answer
Answer: ((a))

200

14

The sum of the present ages of Hitesh and Jitesh is 96 years. After 2 years from now, Hitesh's age will be three times that of Jitesh. Hitesh's present age (in years) is:

  1. ((a))

    75

  2. ((b))

    73

  3. ((c))

    67

  4. ((d))

    76

Show Answer
Answer: ((a))

75

15

By how much is 30% of 65 greater than 35% of 50?

  1. ((a))

    2

  2. ((b))

    4

  3. ((c))

    1

  4. ((d))

    3

Show Answer
Answer: ((a))

2

16

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 one person has a flight after J. Only three people have flights between P and O. Only one person has a flight between H and N. Only two people have flights between J and P. I has a flight immediately before H. How many people have flights between G and H?

  1. ((a))

    Three

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Four

Show Answer
Answer: ((a))

Three

17

The average of 8 numbers is 59. If each number is increased by 4, what will the new average be?

  1. ((a))

    59

  2. ((b))

    8

  3. ((c))

    67

  4. ((d))

    63

Show Answer
Answer: ((a))

59

18

The ratio of the heights of a right circular cone and a right circular cylinder is 2 : 9 and the ratio of the radii of their bases is 7 : 2. If the volume of the cylinder is 972 cm3 ^3 , then the volume (in cm3 ^3 ) of the cone is:

  1. ((a))

    885

  2. ((b))

    889

  3. ((c))

    882

  4. ((d))

    891

Show Answer
Answer: ((a))

885

19

The HCF of two numbers is 12, and their product is 31104. How many such pairs of numbers are possible?

  1. ((a))

    2

  2. ((b))

    5

  3. ((c))

    1

  4. ((d))

    4

Show Answer
Answer: ((a))

2

20

The amount of extension in an elastic string varies directly with the weight hung on it. If a weight of 127 gm produces an extension of 2.3 cm, then what weight would produce an extension of 16.1 cm?

  1. ((a))

    1048 gm

  2. ((b))

    889 gm

  3. ((c))

    762 gm

  4. ((d))

    917 gm

Show Answer
Answer: ((a))

1048 gm

21

An arithmetic progression has 42 as its first term, 60 as its last term, and a total of 14 terms. What is the sum of these 14 terms?

  1. ((a))

    717

  2. ((b))

    716

  3. ((c))

    711

  4. ((d))

    714

Show Answer
Answer: ((a))

717

22

Pure ghee costs ₹120 ₹120 per kg. After adulterating it with vegetable oil costing ₹60 ₹60 per kg, a shopkeeper sells the mixture at the rate of ₹98 ₹98 per kg, thereby making a profit of 40%. In what ratio does he mix the two?

  1. ((a))

    3 : 7

  2. ((b))

    2 : 7

  3. ((c))

    2 : 5

  4. ((d))

    1 : 5

Show Answer
Answer: ((a))

3 : 7

23

The following data pertaining to the number of insects per plant. Find median number of insects per plant.

Number of insects per plant (x)123456789101112
No. of plants (f)13561013953221
  1. ((a))

    5 5

  2. ((b))

    9 9

  3. ((c))

    6 6

  4. ((d))

    8 8

Show Answer
Answer: ((a))

5 5

24

Six people, H, I, J, N, O and P, live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on, till the topmost floor, which is numbered 6.

N lives on floor numbered 2. H lives on a floor below N. Only four people live between O and H. P lives on an even-numbered floor. J lives on an odd-numbered floor but not on floor number 5. How many people live between I and N?

  1. ((a))

    Four

  2. ((b))

    Three

  3. ((c))

    One

  4. ((d))

    Two

Show Answer
Answer: ((a))

Four

25

Two taps can fill a cistern in 3 hours and 48 hours, respectively. A third tap can empty the filled cistern in 48 hours. How long (in hours) will it take to fill two-third of the empty cistern if all of them are opened together?

  1. ((a))

    4

  2. ((b))

    2

  3. ((c))

    6

  4. ((d))

    8

Show Answer
Answer: ((a))

4

26

If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 1326342, then what will be the difference between the highest and the lowest digits in the number thus formed?

  1. ((a))

    5

  2. ((b))

    4

  3. ((c))

    7

  4. ((d))

    6

Show Answer
Answer: ((a))

5

27

Three identical cubes, each with edge 8 cm, are placed adjacent to each other to form a cuboid. What is the percentage decrease in the total surface area compared to the sum of surface areas of the three separate cubes? (Rounded off to two decimal places.)

  1. ((a))

    22.22%

  2. ((b))

    27.53%

  3. ((c))

    25.67%

  4. ((d))

    20.24%

Show Answer
Answer: ((a))

22.22%

28

Read the given statements 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 statements.

Statements:

Some pen are lead.

Some lead are ruler.

Conclusions:

(I): Some pen are ruler.

(II): All ruler are lead.

  1. ((a))

    Neither conclusion (I) nor (II) follows.

  2. ((b))

    Only conclusion (II) follows.

  3. ((c))

    Both conclusions (I) and (II) follow.

  4. ((d))

    Only conclusion (I) follows.

Show Answer
Answer: ((a))

Neither conclusion (I) nor (II) follows.

29

The circumference of the base of a cylindrical vessel is 220 cm and its height is 60 cm. How many litres of water can it hold?

  1. ((a))

    231

  2. ((b))

    216

  3. ((c))

    233

  4. ((d))

    202

Show Answer
Answer: ((a))

231

30

The ratio of Ruby and Anita’s salary is 4 : 3. Ruby and Anita receive a festival allowance of ₹1,000 and ₹2,000, respectively, in a certain month, which makes the ratio of their salary as 5 : 4. Find the difference in the salaries (in ₹) of Ruby and Anita.

  1. ((a))

    5,200

  2. ((b))

    7,000

  3. ((c))

    6,500

  4. ((d))

    6,000

Show Answer
Answer: ((a))

5,200

31

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>

: ZQV :: PGK : %

  1. ((a))

    = XTR, % = LJG

  2. ((b))

    = XOS, % = RIN

  3. ((c))

    = XUT, % = MJO

  4. ((d))

    = WTU, % = LKH

Show Answer
Answer: ((a))

= XTR, % = LJG

32

A solid metallic sphere of radius 12 cm is melted and recast into smaller spherical balls of 2 cm radius each. What will be the total surface area of all the spherical balls so obtained?

  1. ((a))

    864π sq. cm 864\pi \text{ sq. cm}

  2. ((b))

    216π sq. cm 216\pi \text{ sq. cm}

  3. ((c))

    2304π sq. cm 2304\pi \text{ sq. cm}

  4. ((d))

    3456π sq. cm 3456\pi \text{ sq. cm}

Show Answer
Answer: ((a))

864π sq. cm 864\pi \text{ sq. cm}

33

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

<br>

TDN DNX NXH XHR HRB ROL

  1. ((a))

    HRB

  2. ((b))

    TDN

  3. ((c))

    DNX

  4. ((d))

    ROL

Show Answer
Answer: ((a))

HRB

34

Select the set in which the numbers are related in the same way as are the numbers of the following sets.

(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.)

<br>

(288,8,6)

(210,7,5)

  1. ((a))

    (252,7,6)

  2. ((b))

    (316,7,8)

  3. ((c))

    (216,9,5)

  4. ((d))

    (204,9,4)

Show Answer
Answer: ((a))

(252,7,6)

35

The simplified value of 986×1814×215985×1813×213 is \text{The simplified value of } \frac{98^{6} \times 18^{14} \times 2^{15}} {98^{5} \times 18^{13} \times 2^{13}} \text{ is}

  1. ((a))

    7051

  2. ((b))

    7058

  3. ((c))

    7056

  4. ((d))

    7055

Show Answer
Answer: ((a))

7051

36

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

  1. ((a))

    220%

  2. ((b))

    240%

  3. ((c))

    210%

  4. ((d))

    230%

Show Answer
Answer: ((a))

220%

37

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) 7 3 / 3 ^ 2<∗ 2 < * \ 8 ? + 3 @ 8 ^ @ \ < (Right)

<br>

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

  1. ((a))

    3

  2. ((b))

    4

  3. ((c))

    2

  4. ((d))

    1

Show Answer
Answer: ((a))

3

38

Find the mode (in ₹) for the following set of data of income of 40 people (rounded off to nearest integer).

<br>

Income (in ₹): 1000-1200 1200-1400 1400-1600 1600-1800 1800-2000

Number of people: 5 8 15 7 5

  1. ((a))

    1535

  2. ((b))

    1493

  3. ((c))

    1456

  4. ((d))

    1522

Show Answer
Answer: ((a))

1535

39

If a man travels at the rate of 12 kmph, he misses a train by 7 minutes. However, if he travels at the rate of 30 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.

  1. ((a))

    8 km

  2. ((b))

    4 km

  3. ((c))

    12 km

  4. ((d))

    14 km

Show Answer
Answer: ((a))

8 km

40

The 7-digit number 71A510B is divisible by 3. What is the maximum value of (A + B)?

  1. ((a))

    12

  2. ((b))

    11

  3. ((c))

    16

  4. ((d))

    13

Show Answer
Answer: ((a))

12

41

Given the ratio of the perimeters of two squares is 7:11, find the ratio of their areas.

  1. ((a))

    49:121

  2. ((b))

    121:49

  3. ((c))

    7:121

  4. ((d))

    121:7

Show Answer
Answer: ((a))

49:121

42

If ‘P’ stands for ‘÷’ , ‘Q’ stands for ‘×’, ‘R’ stands for ‘+’ and ‘S’ stands for '−' , then what will be come in place of question mark (?) in the following equation?

<br>

44 Q 8 S 91 P 13 R 67 = ?

  1. ((a))

    412

  2. ((b))

    415

  3. ((c))

    421

  4. ((d))

    451

Show Answer
Answer: ((a))

412

43

Box A contains 5 red and 4 white marbles and box B contains 3 red and 6 white marbles. If a marble is drawn from each box, what is the probability that they are both of the same colour?

  1. ((a))

    1727 \frac{17}{27}

  2. ((b))

    1927 \frac{19}{27}

  3. ((c))

    1127 \frac{11}{27}

  4. ((d))

    1327 \frac{13}{27}

Show Answer
Answer: ((a))

1727 \frac{17}{27}

44

The mode and median of a data are 13.8 and 64, respectively. What is the mean of the data? (Use empirical formula.)

  1. ((a))

    89.1

  2. ((b))

    92.1

  3. ((c))

    93.3

  4. ((d))

    80.4

Show Answer
Answer: ((a))

89.1

45

To complete a project, 12 men work for 10 days, working 9 hours per day. How many hours per day should 16 men work to finish the project in 5 days?

  1. ((a))

    12.5

  2. ((b))

    10.5

  3. ((c))

    11.5

  4. ((d))

    13.5

Show Answer
Answer: ((a))

12.5

46

Kavita, Rakesh, and Shalini invested in a business in the ratio 5:8:15. They invested their capitals for 8 months, 7 months and 4 months, respectively. What was the ratio of their profits?

  1. ((a))

    13:14:15

  2. ((b))

    12:14:15

  3. ((c))

    11:14:15

  4. ((d))

    10:14:15

Show Answer
Answer: ((a))

13:14:15

47

The median of the following data is 350.

Class IntervalFrequency
0 - 1004
100 - 2006
200 - 300x
300 - 40010
400 - 500y
500 - 6008
<br>

What are the values of x and y if the total frequency is 40?

  1. ((a))

    x = 3, y = 9

  2. ((b))

    x = 8, y = 4

  3. ((c))

    x = 6, y = 6

  4. ((d))

    x = 5, y = 7

Show Answer
Answer: ((a))

x = 3, y = 9

48

At a health club, 55% of the members are women and 45% of the members are men. If the average age of the men is 50 years and the average age of the women is 40 years, what is the average age (in years) of all the members?

  1. ((a))

    44.9

  2. ((b))

    44.5

  3. ((c))

    43.6

  4. ((d))

    43.8

Show Answer
Answer: ((a))

44.9

49

The marks scored by 10 students are given below.

<br>

16, 13, 20, 18, 16, 14, 18, 11, 10, 16

<br>

The mode of the data is:

  1. ((a))

    16

  2. ((b))

    13

  3. ((c))

    20

  4. ((d))

    18

Show Answer
Answer: ((a))

16

50

Each of the digits in the number 3187569 is arranged in ascending order from left to right. What will be the sum of the digits which are first from the left and first from the right in the new number thus formed?

  1. ((a))

    10

  2. ((b))

    12

  3. ((c))

    11

  4. ((d))

    8

Show Answer
Answer: ((a))

10

51

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

  1. ((a))

    Two

  2. ((b))

    One

  3. ((c))

    Three

  4. ((d))

    Four

Show Answer
Answer: ((a))

Two

52

The simplified value of 83 - [84 - (96 ÷ 4 - (16 - 36 ÷ 9) ÷ 2)] is:

  1. ((a))

    18

  2. ((b))

    17

  3. ((c))

    22

  4. ((d))

    14

Show Answer
Answer: ((a))

18

53

The current population of a town is 16,000. It increases by 40% and 25% in two successive years but decreases by 62% in the third year. What is the population of the town at the end of the third year?

  1. ((a))

    10,638

  2. ((b))

    10,640

  3. ((c))

    10,639

  4. ((d))

    10,642

Show Answer
Answer: ((a))

10,638

54

The 7-digit number 98A038B is divisible by 3. What is the maximum value of (A+B) (A + B) ?

  1. ((a))

    12

  2. ((b))

    17

  3. ((c))

    16

  4. ((d))

    18

Show Answer
Answer: ((a))

12

55

This question is based on the five, three-digit numbers given below.

<br>

(Left) 321 354 387 627 681 (Right)

<br>

(Example: 697 – First digit = 6, second digit = 9 and third digit = 7)

NOTE: All operations are to be done from left to right.

<br>

What will be the resultant if the second digit of the second highest number is added to the third digit of the lowest number?

  1. ((a))

    4

  2. ((b))

    3

  3. ((c))

    2

  4. ((d))

    7

Show Answer
Answer: ((a))

4

56

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))

    WBDH

  2. ((b))

    FKMQ

  3. ((c))

    BGIN

  4. ((d))

    QVXB

Show Answer
Answer: ((a))

WBDH

57

Two fair cubical dice, with the faces numbered from 1 to 6 in each of the dice, are rolled. What is the probability that the sum of the numbers on the two faces that appear on top is 8, given that each of the two faces that appear on top shows an odd number?

  1. ((a))

    536\frac{5}{36}

  2. ((b))

    118\frac{1}{18}

  3. ((c))

    29\frac{2}{9}

  4. ((d))

    25\frac{2}{5}

Show Answer
Answer: ((a))

536\frac{5}{36}

58

Study the line graph and answer the question that follows.

<br>

The given line graph shows the number of mobile phones sold by a store during the first six months of a year.

<br>

<br> <br>

(Note: Number of phones sold in February were 150.)

<br>

Find the average monthly sales of phones. (Round off your answer to the nearest integer.)

  1. ((a))

    162

  2. ((b))

    174

  3. ((c))

    150

  4. ((d))

    152

Show Answer
Answer: ((a))

162

59

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

<br>

ODL IJE CPD WVZ QBV

  1. ((a))

    ODL

  2. ((b))

    WVR

  3. ((c))

    QBN

  4. ((d))

    IJE

Show Answer
Answer: ((a))

ODL

60

The average height of 15 boys out of a class of 60 boys is 164 cm. If the average height of the remaining boys is 169 cm, then the average height of the whole class (in cm) is:

  1. ((a))

    166.5

  2. ((b))

    167.75

  3. ((c))

    168.75

  4. ((d))

    167.5

Show Answer
Answer: ((a))

166.5

61

The following pie chart shows the enrolment of students into tenth class in 5 different schools: P, Q, R, S and T. The total number of students enrolled is 2,000. Study the chart and answer the question that follows.

<br> <br>

<br> <br>

Find the total number of students enrolled in schools P, R and S.

  1. ((a))

    1,000

  2. ((b))

    1,100

  3. ((c))

    1,400

  4. ((d))

    1,200

Show Answer
Answer: ((a))

1,000

62

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>

: FKG :: PUQ : %

  1. ((a))

    = HJM, % = JLP

  2. ((b))

    = LIO, % = MNK

  3. ((c))

    = LQM, % = JOK

  4. ((d))

    = LIM, % = JZK

Show Answer
Answer: ((a))

= HJM, % = JLP

63

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))

    NLH

  2. ((b))

    ZXT

  3. ((c))

    WUR

  4. ((d))

    FDZ

Show Answer
Answer: ((a))

NLH

64

This question is based on the five, three-digit numbers given below.

<br>

(Left) 756 723 789 347 359 (Right)

<br>

(Example: 697 – First digit = 6, second digit = 9 and third digit = 7)

NOTE: All operations are to be done from left to right.

<br>

What will be the resultant if the second digit of the second highest number is added to the third digit of the second lowest number?

  1. ((a))

    9

  2. ((b))

    12

  3. ((c))

    11

  4. ((d))

    14

Show Answer
Answer: ((a))

9

65

Two circles with centres O and O′, with radii 6 cm and 8 cm, respectively, intersect at two points A and B. If OA is a tangent to the circle with centre O′ and vice versa, what is the length of the common chord AB?

  1. ((a))

    13.55 cm

  2. ((b))

    14.23 cm

  3. ((c))

    11.44 cm

  4. ((d))

    9.60 cm

Show Answer
Answer: ((a))

13.55 cm

66

The sum of two positive numbers is 32 and their product is 112. The positive difference between them is:

  1. ((a))

    22

  2. ((b))

    24

  3. ((c))

    18

  4. ((d))

    20

Show Answer
Answer: ((a))

22

67

A shopkeeper marks an article at ₹x and offers a discount of 70% on it. He sells it for ₹384 after charging a VAT of 60% on the discounted price. What is the value of x?

  1. ((a))

    800

  2. ((b))

    600

  3. ((c))

    900

  4. ((d))

    1000

Show Answer
Answer: ((a))

800

68

A and B have incomes in the ratio 4:3 and expenditures in the ratio 2:1. If A saves ₹5,000 and B saves ₹6,000, then A’s expenditure exceeds B’s by how much?

  1. ((a))

    ₹3,500

  2. ((b))

    ₹4,500

  3. ((c))

    ₹3,000

  4. ((d))

    ₹5,000

Show Answer
Answer: ((a))

₹3,500

69

An arithmetic progression has 42 as its first term and 55 as its last term, with a total of 10 terms. What is the sum of these 10 terms?

  1. ((a))

    485

  2. ((b))

    488

  3. ((c))

    487

  4. ((d))

    484

Show Answer
Answer: ((a))

485

70

A conical tent was erected by Army at a base camp to accommodate people. The height of the tent is 42 m and the area of the base camp is 200 m2 ^2 . If each person requires 70 m3 ^3 of air to breathe, how many persons can be accommodated in that tent?

(Use π=22/7 \pi = 22/7 )

  1. ((a))

    60

  2. ((b))

    50

  3. ((c))

    40

  4. ((d))

    45

Show Answer
Answer: ((a))

60

71

AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB=49∘ \angle PEB = 49^\circ . G is a point between AB and CD such that ∠BEG=29∘ \angle BEG = 29^\circ and ∠GFE=24∘ \angle GFE = 24^\circ . What is the measure of ∠EGF \angle EGF ?

  1. ((a))

    54°

  2. ((b))

    62°

  3. ((c))

    60°

  4. ((d))

    66°

Show Answer
Answer: ((a))

54°

72

The given table shows the distribution of weekly wages (₹) of workers. Find the mode.

Wages (₹)100–150150–200200–250250–300300–350
Frequency612152415
  1. ((a))

    260

  2. ((b))

    270

  3. ((c))

    265

  4. ((d))

    275

Show Answer
Answer: ((a))

260

73

Dev and Tej started a business by investing amounts of ₹2,450 and ₹1,960, respectively. If Dev's share in the profit earned by them is ₹270, what is the total profit (in ₹) earned by them together?

  1. ((a))

    486

  2. ((b))

    443

  3. ((c))

    342

  4. ((d))

    526

Show Answer
Answer: ((a))

486

74

In a certain code language, ‘DRAW’ is coded as ‘6924’ and ‘WINS’ is coded as ‘1356’. What is the code for ‘W’ in the given code language?

  1. ((a))

    3

  2. ((b))

    1

  3. ((c))

    4

  4. ((d))

    6

Show Answer
Answer: ((a))

3

75

Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find (23)rd (\frac{2}{3})rd of the surface area of the new cube.

  1. ((a))

    486 cm2

  2. ((b))

    648 cm2

  3. ((c))

    324 cm2

  4. ((d))

    162 cm2

Show Answer
Answer: ((a))

486 cm2

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

<br>

The Peloponnesian War, chronicled by the ancient historian Thucydides, was sparked by the rise of Athens and the fear this instilled in the established power, Sparta. This dynamic—when a rising power threatens to displace a ruling power—has been termed the 'Thucydides's Trap' by political scientist Graham Allison. The central argument is that such structural shifts in the balance of power create a high risk of conflict, not necessarily because of deliberate aggression, but often through a combination of fear, misunderstanding, and the friction of third-party events. The ruling power, fearing the loss of its privileged position, may resort to preemptive action, while the rising power, emboldened by its new strength, may become more assertive in claiming what it perceives as its rightful place. Allison's research points to a sobering historical precedent: in 12 of 16 cases over the last 500 years where a major nation rose to challenge an established one, the result was war. However, the trap is not an iron law of history. Whether the trap is 'sprung' depends heavily on the choices, strategies, and diplomatic skill of the leaders involved. The concept serves not as a prediction of inevitable conflict, but as a potent analytical lens and a stark warning for contemporary statecraft in an era of great power transition.

76

Which of the following is the most suitable title for the passage?

  1. ((a))

    The Economics of Modern China

  2. ((b))

    A Biography of Graham Allison

  3. ((c))

    The Complete History of Ancient Greece

  4. ((d))

    The Thucydides's Trap: The Inevitability of Hegemonic War?

Show Answer
Answer: ((a))

The Economics of Modern China

77

What is the central theme of this passage?

  1. ((a))

    It claims that economic factors are the only cause of war.

  2. ((b))

    It is a detailed military analysis of the Peloponnesian War.

  3. ((c))

    It argues that war between a rising and ruling power is completely inevitable and unavoidable.

  4. ((d))

    The passage is based upon the historical dynamic where the rise of a new power creates a high risk of conflict with an established power, and the factors that influence this outcome.

Show Answer
Answer: ((a))

It claims that economic factors are the only cause of war.

78

Which of the following is a fact explicitly stated in the passage?

  1. ((a))

    ​​​​​The 'Thucydides's Trap' is a concept invented by a biologist.

  2. ((b))

    The passage states that the actions and choices of leaders are irrelevant to the outcome.

  3. ((c))

    The concept is named after the historian who chronicled the Peloponnesian War.

  4. ((d))

    According to the passage, war occurred in all 16 historical cases studied.

Show Answer
Answer: ((a))

​​​​​The 'Thucydides's Trap' is a concept invented by a biologist.

79

Based on the passage, which inference can logically be drawn?

  1. ((a))

    The author of the passage believes that war between a rising and ruling power is 100% certain.

  2. ((b))

    The passage implies that diplomacy is useless in preventing hegemonic conflict.

  3. ((c))

    It can be inferred that Thucydides himself coined the term 'Thucydides's Trap'.

  4. ((d))

    One can infer that the concept is used today to analyze the strategic relationship between the United States and China.

Show Answer
Answer: ((a))

The author of the passage believes that war between a rising and ruling power is 100% certain.

80

Which of the following best describes the tone of the passage?

  1. ((a))

    Dismissive and sarcastic.

  2. ((b))

    Joyful and optimistic.

  3. ((c))

    Analytical and cautionary.

  4. ((d))

    Panicked and alarmist.

Show Answer
Answer: ((a))

Dismissive and sarcastic.

81

The simplified value of  1645×(98+20)+97\frac{16}{45} \times (98 + 20) + 97 is

  1. ((a))

    625645\frac{6256}{45}

  2. ((b))

    625345\frac{6253}{45}

  3. ((c))

    626245\frac{6262}{45}

  4. ((d))

    625745\frac{6257}{45}

Show Answer
Answer: ((a))

625645\frac{6256}{45}

82

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))

    TU-XY

  2. ((b))

    DE–GH

  3. ((c))

    RS–UV

  4. ((d))

    MN–PQ

Show Answer
Answer: ((a))

TU-XY

83

In what ratio must a grocer mix two varieties of wheat worth ₹94 per kg and ₹116 per kg, so that if he sells the mixture at ₹144 per kg, he may gain 44%?

  1. ((a))

    8:3

  2. ((b))

    5:2

  3. ((c))

    7:3

  4. ((d))

    9:4

Show Answer
Answer: ((a))

8:3

84

The circumference of the base of a solid right circular cylinder is 88 cm and its height is 153 cm. What is the volume (in cm3) of the cylinder?

Takeπ227Take\pi\frac{22}{7}

  1. ((a))

    93,794

  2. ((b))

    94,453

  3. ((c))

    95,071

  4. ((d))

    94,248

Show Answer
Answer: ((a))

93,794

85

A retailer buys an electronic item for ₹230. His overhead expenses are ₹10. He sells the electronic item for ₹480 and makes x% profit. The value of x is:

  1. ((a))

    100

  2. ((b))

    90

  3. ((c))

    120

  4. ((d))

    80

Show Answer
Answer: ((a))

100

86

The H.C.F. and the L.C.M. of two numbers are 13 and 585, respectively. If one of the numbers is 117, then find the other number.

  1. ((a))

    13

  2. ((b))

    78

  3. ((c))

    65

  4. ((d))

    52

Show Answer
Answer: ((a))

13

87

Six people, H, I, J, N, O and P, live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, numbered 2 and so on, till the topmost floor, which is numbered 6. Only two people live between N and P. No one lives above I. Only two people live between I and O. Only four people live between I and H. N lives above O. How many people live below J?

  1. ((a))

    Two

  2. ((b))

    Three

  3. ((c))

    One

  4. ((d))

    Four

Show Answer
Answer: ((a))

Two

88

A can complete a piece of work in 57 days. B is 80% less efficient than A. C is 50% more efficient than B. B and C work together for 54 days. A alone will complete the remaining work in:

  1. ((a))

    30 days

  2. ((b))

    35 days

  3. ((c))

    27 days

  4. ((d))

    26 days

Show Answer
Answer: ((a))

30 days

89

The pie-chart shows percentage of students availing scholarship in a school. If the total strength of the school is 3850 and the ratio of students in primary section to secondary section to higher secondary section is 5 : 4 : 2, find the number of secondary students who availed the scholarship.

<br>

  1. ((a))

    742

  2. ((b))

    788

  3. ((c))

    670

  4. ((d))

    630

Show Answer
Answer: ((a))

742

90

A dealer buys two articles X and Y for ₹500 each. He marks each of them at the same price. He sells X by giving two successive discounts of 31% and 25% and still earns ₹328 as profit. If he sells Y at a single discount of 61%, then what is the profit percentage on Y?

  1. ((a))

    23.8%

  2. ((b))

    24.8%

  3. ((c))

    23%

  4. ((d))

    24%

Show Answer
Answer: ((a))

23.8%

91

In a circular race of 2715 m, Abhay and Bharti start from the same point and at the same time with speeds of 20 km/h and 34 km/h, respectively. After how long will they meet again for the first time on the track when they are running in the opposite directions?

  1. ((a))

    186 seconds

  2. ((b))

    181 seconds

  3. ((c))

    178 seconds

  4. ((d))

    187 seconds

Show Answer
Answer: ((a))

186 seconds

92

Find an estimate of the variance of the following data (rounded off to two decimal places).

<br>

Class: 0-10 10-20 20-30 30-40 40-50

Frequency: 8 16 24 25 17

  1. ((a))

    185.05

  2. ((b))

    190.34

  3. ((c))

    163.11

  4. ((d))

    147.67

Show Answer
Answer: ((a))

185.05

93

If the sides of a triangle are 12 cm, 35 cm and 37 cm, then the circum radius is:

  1. ((a))

    18.5 cm

  2. ((b))

    16.0 cm

  3. ((c))

    17.0 cm

  4. ((d))

    16.5 cm

Show Answer
Answer: ((a))

18.5 cm

94

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

<br>

91 92 96 97 101 ?

  1. ((a))

    104

  2. ((b))

    103

  3. ((c))

    102

  4. ((d))

    101

Show Answer
Answer: ((a))

104

95

If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 7145632, then how many digits will appear more than once in the new number thus formed?

  1. ((a))

    2

  2. ((b))

    1

  3. ((c))

    0

  4. ((d))

    3

Show Answer
Answer: ((a))

2

96

Two triangles have the same base of 24 cm. The ratio of their heights is 5 : 7 and the sum of their areas is 1728 cm2 cm^2 . What is the height of the larger triangle?

  1. ((a))

    72 cm

  2. ((b))

    84 cm

  3. ((c))

    78 cm

  4. ((d))

    90 cm

Show Answer
Answer: ((a))

72 cm

97

After successive discounts of 12% and 5% an article was sold for ₹418. What was the original price of the article?

  1. ((a))

    ₹496 ₹ 496

  2. ((b))

    ₹536 ₹ 536

  3. ((c))

    ₹500 ₹ 500

  4. ((d))

    ₹516 ₹ 516

Show Answer
Answer: ((a))

₹496 ₹ 496

98

The following table shows the price (in ₹ per 100 kg) of different items during different years. Answer the given question based on this table. What is the average price (in ₹ per 10 kg) of pulses from the years 1990 to 2010?

19901995200020052010
Rice8001150168024003500
Wheat450700120016502100
Pulses20002700365046006400
Sugar15002200300038004500
Groundnut12001700245035004200
Oil42005500640080011000
  1. ((a))

    387 387

  2. ((b))

    394 394

  3. ((c))

    404 404

  4. ((d))

    414 414

Show Answer
Answer: ((a))

387 387

99

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

<br>

HLH−DHD

LPL−HLH

  1. ((a))

    GKG−BGB

  2. ((b))

    GJE−BFB

  3. ((c))

    GKG−CGC

  4. ((d))

    GJE−CGC

Show Answer
Answer: ((a))

GKG−BGB

100

Suman has a brother,Tushar. Tushar’s daughter is Urmi. Urmi is married to Vikram; Vikram has a son, Yash. How is Urmi related to Suman?

  1. ((a))

    Daughter

  2. ((b))

    Wife

  3. ((c))

    Brother’s daughter

  4. ((d))

    Sister's daughter

Show Answer
Answer: ((a))

Daughter

Attempt this paper under real exam conditions

Timed interface, section switching, instant scoring, and question-by-question analytics — free.

Start Timed Attempt