Official Paper

RRB JE CBT-I 2024 17 Dec 2024 Shift 3 Official Paper (Previous Year Paper)

100 questions · 90 minutes · with answers · free

Test (100 questions)

1

At which of the following points does each firm employ labour?

  1. ((a))

    Each firm employs labour up to the point where the marginal revenue product of labour minus the wage rate.

  2. ((b))

    Each firm employs labour up to the point where the marginal revenue product of labour equals the wage rate. 

  3. ((c))

    Each firm employs labour up to the point where the marginal cost of labour equals the wage rate. 

  4. ((d))

    Each firm employs labour up to the point where the marginal revenue product of labour multiplies the wage rate. 

Show Answer
Answer: ((a))

Each firm employs labour up to the point where the marginal revenue product of labour minus the wage rate.

2

In which of the following cases did the Supreme Court of India enunciate the ‘Doctrine of Basic Structure’?

  1. ((a))

    Golaknath case

  2. ((b))

    AK Gopalan case

  3. ((c))

    Menka Gandhi case

  4. ((d))

    Keshvanand Bharti case

Show Answer
Answer: ((a))

Golaknath case

3

Which of the following materials will have the least resistance at room temperature? 

  1. ((a))

    Nichrome

  2. ((b))

    Aluminum

  3. ((c))

    Iron

  4. ((d))

    Copper

Show Answer
Answer: ((a))

Nichrome

4

Which Article of the Indian Constitution permits the Supreme Court to review its judgement or order? 

  1. ((a))

    Article 137

  2. ((b))

    Article 138

  3. ((c))

    Article 132

  4. ((d))

    Article 135 

Show Answer
Answer: ((a))

Article 137

5

What is the role of chlorine gas in the preparation of bleaching powder?

  1. ((a))

    It is used as a catalyst for the reaction. 

  2. ((b))

    It reacts with dry slaked lime to form bleaching powder.  

  3. ((c))

    It is used to neutralise calcium hydroxide

  4. ((d))

    It reacts with water to produce hydrogen peroxide.

Show Answer
Answer: ((a))

It is used as a catalyst for the reaction. 

6

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

86 78 64 56 42 34 ?

  1. ((a))

    20

  2. ((b))

    22

  3. ((c))

    26

  4. ((d))

    28

Show Answer
Answer: ((a))

20

7

In which year was 'Heirloom Treasures: The Cultural Tapestry of India: A Compilation of Selected Articles from India Beckons: Volume 1,' by Arunima Hoskote, published?

  1. ((a))

    2021

  2. ((b))

    2018

  3. ((c))

    2019

  4. ((d))

    2020

Show Answer
Answer: ((a))

2021

8

Pooja and Ritu invest in a business in the ratio 4 : 1. If total profit is Rs. 1480, then what is difference between the profit (in Rs.) of Pooja and Ritu? 

  1. ((a))

    988

  2. ((b))

    938

  3. ((c))

    888

  4. ((d))

    788

Show Answer
Answer: ((a))

988

9

A car rental company rents small cars at 50perdayandlargecarsat50 per day and large cars at 80 per day. If a total of 13 cars were rented for $920 in one day, how many large cars were rented ?

  1. ((a))

    4

  2. ((b))

    11

  3. ((c))

    9

  4. ((d))

    6

Show Answer
Answer: ((a))

4

10

India has reduced the windfall tax on crude oil to ₹______ per metric tonne from ₹4,600, effective 17 August 2024.

  1. ((a))

    1,800

  2. ((b))

    3,600

  3. ((c))

    2,600

  4. ((d))

    2,100

Show Answer
Answer: ((a))

1,800

11

If two parallel lines are cut by a transversal, and one pair of the corresponding angles formed are (x + 30)°  and (2x - 10)°, then find the value of x.

  1. ((a))

    35

  2. ((b))

    45

  3. ((c))

    40

  4. ((d))

    30

Show Answer
Answer: ((a))

35

12

A homologous series is a group of organic compounds that have:

  1. ((a))

    the same structural formula

  2. ((b))

    the same functional group but differ by a CH₂ group

  3. ((c))

    the same molecular formula

  4. ((d))

    no relation to each other

Show Answer
Answer: ((a))

the same structural formula

13

When an aqueous solution of potassium iodide reacts with lead nitrate, what type of product is formed?

  1. ((a))

    Lead iodide (precipitate)

  2. ((b))

    Sodium nitrate

  3. ((c))

    Lead chloride

  4. ((d))

    Lead nitrate 

Show Answer
Answer: ((a))

Lead iodide (precipitate)

14

What is the mean of the following distribution?

Marks1323516196
No. of Students5134628717
  1. ((a))

    72

  2. ((b))

    37

  3. ((c))

    46

  4. ((d))

    34

Show Answer
Answer: ((a))

72

15

The angle of elevation of a tower from a point which is at a distance of 44 m from it's foot is 60°. Find the height of the tower. (use √3 = 1.73)

  1. ((a))

    68 m

  2. ((b))

    56.37 m

  3. ((c))

    76.12 m

  4. ((d))

    48 m

Show Answer
Answer: ((a))

68 m

16

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 ::?

: GJM :: FIL : %

  1. ((a))

    = YAD, % = ORU

  2. ((b))

    = XAD, % = ORP

  3. ((c))

    = XAD, % = ORU

  4. ((d))

    = XAD, % = MRU

Show Answer
Answer: ((a))

= YAD, % = ORU

17

The LCM of two numbers is seven times of their HCF. If the product of two numbers is 448, then find the difference between LCM and HCF.

  1. ((a))

    54

  2. ((b))

    42

  3. ((c))

    30

  4. ((d))

    48

Show Answer
Answer: ((a))

54

18

Suman invested a sum of ₹3500 at 20% per annum compound interest, componded annually. If she received an amount of ₹6048 after n years, the value of n is : 

  1. ((a))

    2

  2. ((b))

    3

  3. ((c))

    4

  4. ((d))

    2.6

Show Answer
Answer: ((a))

2

19

If the distance between A and B is 1089 Km. From A, Vishal goes to B with speed 104 km/h and return to A with the speed 125 km/h. Find the average speed of Vishal. (rounded off to two decimal place)

  1. ((a))

    117.44 km/h

  2. ((b))

    113.54 km/h

  3. ((c))

    111.79 km/h 

  4. ((d))

    120.89 km/h

Show Answer
Answer: ((a))

117.44 km/h

20

The measure of how much a material resists the flow of charges is known as:

  1. ((a))

    current 

  2. ((b))

    resistivity

  3. ((c))

    power generated

  4. ((d))

    potential difference

Show Answer
Answer: ((a))

current 

21

O, P, Q, R, S and T are sitting around a circular table facing the centre. P sits second to the left of T. Q is the immediate neighbour of P and R. S is not the immediate neighbour of R. Who sits to the immediate left of R? 

  1. ((a))

    S

  2. ((b))

    Q

  3. ((c))

    O

  4. ((d))

    T

Show Answer
Answer: ((a))

S

22

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

11 + 37 − 5 × 40 ÷ 24 = ?

  1. ((a))

    -22

  2. ((b))

    -21

  3. ((c))

    -25

  4. ((d))

    -23

Show Answer
Answer: ((a))

-22

23

Find the simple interest (in closest integral ₹) on ₹4000 at 5.25% per annum rate of interest for the period from 3 February 2024 to 4 April 2024 

  1. ((a))

    35

  2. ((b))

    33

  3. ((c))

    34

  4. ((d))

    36

Show Answer
Answer: ((a))

35

24

A man sold an article for ₹687 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹1145, then what is the value of d?

  1. ((a))

    16

  2. ((b))

    19

  3. ((c))

    23

  4. ((d))

    20

Show Answer
Answer: ((a))

16

25

Refer to the following number and symbol series and answer the question that follows.

(Counting to be done from left to right only.)

(Left) 2 @ 4 + = 3 1 # 3 @ $ 9 8 * 9 4 2 8 7 6 5 (Right)

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

  1. ((a))

    Four

  2. ((b))

    One

  3. ((c))

    Three

  4. ((d))

    Two

Show Answer
Answer: ((a))

Four

26

Which of the following factors is primarily responsible for survival of species?

  1. ((a))

    Variations

  2. ((b))

    Temperature 

  3. ((c))

    Niche

  4. ((d))

    Mutation

Show Answer
Answer: ((a))

Variations

27

Which team clinched the Irani Cup title for the season 2024-25?

  1. ((a))

    Karnataka

  2. ((b))

    Mumbai

  3. ((c))

    Railways

  4. ((d))

    Rest of India

Show Answer
Answer: ((a))

Karnataka

28

In a certain code, ‘copy book pencil’ is coded as ‘fd rl sg’, ‘pencil crayon eraser’ is coded as ‘bz xw rl’, and ‘crayon copy pen’ is coded as ‘xw sg xo’.What is the code for 'book' in that language?

(Note: All the codes are two letter coded only.)

  1. ((a))

    sg

  2. ((b))

    fd

  3. ((c))

    xo

  4. ((d))

    rl

Show Answer
Answer: ((a))

sg

29

What is the name of the famous temple complex in Tamil Nadu, known for its Dravidian architecture and 1,000-pillar hall?

  1. ((a))

    Brihadeeswarar Temple

  2. ((b))

    Kanchipuram Temple

  3. ((c))

    Jagannath Temple 

  4. ((d))

    Meenakshi Temple 

Show Answer
Answer: ((a))

Brihadeeswarar Temple

30

Based on the English alphabetical order, three of the following four are alike in a certain way and thus form a group. Which is the one that 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))

    HLK

  2. ((b))

    DGF

  3. ((c))

    SWV

  4. ((d))

    OSR

Show Answer
Answer: ((a))

HLK

31

The pH of acid rain is:

  1. ((a))

    equal to 7 

  2. ((b))

    less than 5.6

  3. ((c))

    more than 7

  4. ((d))

    more than 5.6 but less than 7

Show Answer
Answer: ((a))

equal to 7 

32

A and B can do a piece of work in 4 days and 46 days, respectively. The number of days [Correct to one decimal place] required to complete the work if both A and B work together is: 

  1. ((a))

    6.9

  2. ((b))

    3.6

  3. ((c))

    6.8

  4. ((d))

    5.5

Show Answer
Answer: ((a))

6.9

33

Which of the following options is INCORRECT with relation to the given statement?

The magnetic field lines of a bar magnet may be drawn using:

  1. ((a))

    another bar magnet 

  2. ((b))

    iron filings 

  3. ((c))

    a magnetic compass

  4. ((d))

    wood particles 

Show Answer
Answer: ((a))

another bar magnet 

34

Find the value of 1.356 + 4.25 × 8 - 3.562 × 6 + 7.5 × 4.

  1. ((a))

    43.012

  2. ((b))

    43.984

  3. ((c))

    42.237

  4. ((d))

    41.625

Show Answer
Answer: ((a))

43.012

35

In a certain code language,

'A + B' means ‘A is the son of B’,

'A − B' means ‘A is the brother of B’,

'A × B' means ‘A is the wife of B’ and

'A ÷ B' means ‘A is the father of B’.

How is S related to H if ‘S − D + F ÷ G × H’?

  1. ((a))

    Wife's Brother 

  2. ((b))

    Father

  3. ((c))

    Brother 

  4. ((d))

    Wife's Father 

Show Answer
Answer: ((a))

Wife's Brother 

36

Which of the following is NOT a method of pollination? 

  1. ((a))

    Self-pollination

  2. ((b))

    Wind pollination 

  3. ((c))

    Water pollination

  4. ((d))

    Asexual pollination 

Show Answer
Answer: ((a))

Self-pollination

37

What should come in place of the question mark (?) in the given series based on the English alphabetical order?

FDW LJC RPI XVO ?

  1. ((a))

    BDU

  2. ((b))

    DBU

  3. ((c))

    BUD

  4. ((d))

    DUB

Show Answer
Answer: ((a))

BDU

38

Which part of the Bryophyllum plant develops new plants via vegetative propagation? 

  1. ((a))

    Stems 

  2. ((b))

    Leaves

  3. ((c))

    Flowers 

  4. ((d))

    Roots 

Show Answer
Answer: ((a))

Stems 

39

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.

Question:

Five boxes, V, W, X, Y and Z, have different weights. Which box among them is the second heaviest?

Statements:

(I) Y is heavier than W. Only three boxes are lighter than Z.

(II) X is heavier than W. X is heavier than V.

  1. ((a))

    Data in statement I alone is sufficient to answer the question while data in statement II is not. 

  2. ((b))

    Data in statements I and II together are not sufficient to answer the question. 

  3. ((c))

    Data in statement II alone is sufficient to answer the question while data in statement I is not. 

  4. ((d))

    Data in statements I and II together are sufficient to answer the question.

Show Answer
Answer: ((a))

Data in statement I alone is sufficient to answer the question while data in statement II is not. 

40

Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given 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 / subtracting /multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

6-18-72-102; 8-20-80-110

  1. ((a))

    4-16-64-84 

  2. ((b))

    9-21-84-94

  3. ((c))

    7-19-76-106 

  4. ((d))

    11-22-88-116 

Show Answer
Answer: ((a))

4-16-64-84 

41

A tube like structure grows down from the pollen grain to the style and reaches the ovule. This pollen tube is responsible for: 

  1. ((a))

    carrying carbon dioxide to the female germ cell in the ovary

  2. ((b))

    carrying nutrition to the female germ cell in the ovary

  3. ((c))

    carrying the male germ cell to the female germ cell in the ovary 

  4. ((d))

    carrying oxygen to the female germ cell in the ovary

Show Answer
Answer: ((a))

carrying carbon dioxide to the female germ cell in the ovary

42

Contraception is one of the main goals of which health care programme?

  1. ((a))

    Mental Health Programme

  2. ((b))

    Indradhanush Immunisation Programme

  3. ((c))

    Reproductive Health Programme

  4. ((d))

    Pulse Polio Programme

Show Answer
Answer: ((a))

Mental Health Programme

43

The average age of 40 boys in a class is 18 years. One boy, aged 26 years left the class, and two new boys joined the class. If the average age of all boys now in the class remains 18 years, then find the average age of the two newcomers.

  1. ((a))

    24 years

  2. ((b))

    20 years

  3. ((c))

    22 years

  4. ((d))

    21 years

Show Answer
Answer: ((a))

24 years

44

What was the venue of the 13th Ministerial Conference of the World Trade Organization in 2024?

  1. ((a))

    New Delhi, India

  2. ((b))

    Abu Dhabi, United Arab Emirates

  3. ((c))

    London, England

  4. ((d))

    Paris, France 

Show Answer
Answer: ((a))

New Delhi, India

45

YT21 is related to TO19 in a certain way based on the English alphabetical order. In the same way, PL17 is related to KG15. To which of the following is KF13 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 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))

    AE11

  2. ((b))

    FT17

  3. ((c))

    FO11

  4. ((d))

    FA11

Show Answer
Answer: ((a))

AE11

46

Oxidation of metals in the presence of acids or moisture is called:

  1. ((a))

    neutralisation

  2. ((b))

    corrosion

  3. ((c))

    rancidity 

  4. ((d))

    rusting

Show Answer
Answer: ((a))

neutralisation

47

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))

    OY-VX

  2. ((b))

    CM-JL 

  3. ((c))

    GQ-NP

  4. ((d))

    LV-TU

Show Answer
Answer: ((a))

OY-VX

48

Yeast reproduces through which asexual mode of reproduction? 

  1. ((a))

    Budding 

  2. ((b))

    Fusion 

  3. ((c))

    Vegetative propagation 

  4. ((d))

    Fission

Show Answer
Answer: ((a))

Budding 

49

How can you experimentally determine the focal length of a concave mirror?

  1. ((a))

    Measure the angle of reflection.

  2. ((b))

    Measure the distance between the mirror and the image of a distant object formed by it. 

  3. ((c))

    Measure the diameter of the mirror. 

  4. ((d))

    Measure the distance between the pole and the centre of curvature. 

Show Answer
Answer: ((a))

Measure the angle of reflection.

50

What is the difference between the hypotenuse and the base of an isosceles right triangle that has an area of 392 m² (use √2 = 1.4)?

  1. ((a))

    12.4 m

  2. ((b))

    11.9 m

  3. ((c))

    10.9 m

  4. ((d))

    11.2 m

Show Answer
Answer: ((a))

12.4 m

51

In a convex mirror, the principal focus is located _____. 

  1. ((a))

    at the pole of the mirror

  2. ((b))

    in front of the mirror

  3. ((c))

    at the centre of curvature 

  4. ((d))

    behind the mirror

Show Answer
Answer: ((a))

at the pole of the mirror

52

What is the median of the following data?

17, 54, 51, 64, 13, 39, 23, 40, 78, 66, 96

  1. ((a))

    51.5

  2. ((b))

    51

  3. ((c))

    52

  4. ((d))

    50.5

Show Answer
Answer: ((a))

51.5

53

Among five people named A, B, C, D and E, each has a certain age. C is twice the age of A. A is three times the age of D. D is one fifth the age of B. The age of B is 45. If E is equal the age of C, what is the age of E?

  1. ((a))

    58

  2. ((b))

    54

  3. ((c))

    52

  4. ((d))

    56

Show Answer
Answer: ((a))

58

54

Two taps can fill a cistern in 2 hours and 46 hours respectively. A third tap can empty it in 46 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?

  1. ((a))

    4

  2. ((b))

    5

  3. ((c))

    2

  4. ((d))

    3

Show Answer
Answer: ((a))

4

55

The first President of the Indian National Congress was __________. 

  1. ((a))

    Ras Behari Bose

  2. ((b))

    Gopal Krishna Gokhale

  3. ((c))

    Dada Bhai Naoroji

  4. ((d))

    Womesh Chandra Banerjee

Show Answer
Answer: ((a))

Ras Behari Bose

56

Which scientist(s) established the laws of Inheritance?

  1. ((a))

    Watson and Crick

  2. ((b))

    Gregor Johann Mendel

  3. ((c))

    Charles Darwin 

  4. ((d))

    Thomas Hunt Morgan

Show Answer
Answer: ((a))

Watson and Crick

57

Which of the following statements are correct with respect to Arunachal Himalaya?

Statement 1: These extend from the east of the Bhutan Himalayas up to the Diphu pass in the east.

Statement 2: The general direction of the mountain range is from southwest to northeast.

Statement 3: Some of the important mountain peaks of the region are K2 and Annapurna.

Statement 4: These ranges are dissected by fast-flowing rivers from the north to the south, forming deep gorges.

  1. ((a))

    Statements 1, 2 and 4 are correct

  2. ((b))

    Only statements 2 and 3 are correct.

  3. ((c))

    Statements 2, 3 and 4 are correct.

  4. ((d))

    Statements 1, 2 and 3 are correct. 

Show Answer
Answer: ((a))

Statements 1, 2 and 4 are correct

58

Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.

CYU XTP SOK NJF ?

  1. ((a))

    ERT

  2. ((b))

    IEA

  3. ((c))

    EAI

  4. ((d))

    IAI

Show Answer
Answer: ((a))

ERT

59

What is the name (acronym) of the software developed by ISRO, through its Vikram Sarabhai Space Centre (VSSC), a Computational Fluid Dynamics (CFD) tool aimed at facilitating aerodynamic design and analysis for aerospace vehicles?

  1. ((a))

    PraVaHa

  2. ((b))

    PraNaMa

  3. ((c))

    PraYoGa

  4. ((d))

    PraViNa

Show Answer
Answer: ((a))

PraVaHa

60

₹3300 were divided among P, Q and R, such that 4 times of P = 7 times of Q = 2 times of R. Find the share of R.

  1. ((a))

    ₹2028 

  2. ((b))

    ₹2024 

  3. ((c))

    ₹2046

  4. ((d))

    ₹1848 

Show Answer
Answer: ((a))

₹2028 

61

Mayank starts from Point A and drives 18 km towards east. He then takes a right turn, drives 19 km, turns right and drives 21 km. He then takes a right turn and drives 25 km. He takes a final right turn, drives 3 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° turns only unless specified.)

  1. ((a))

    5 km to the south 

  2. ((b))

    8 km to the south

  3. ((c))

    6 km to the south

  4. ((d))

    4 km to the south

Show Answer
Answer: ((a))

5 km to the south 

62

The population of a town in 1974 was 222900. If its population increased in two successive decades by 50% in each decade, the population of the town in 1994 was: 

  1. ((a))

    501521

  2. ((b))

    501525

  3. ((c))

    501520 

  4. ((d))

    501526

Show Answer
Answer: ((a))

501521

63

A number when increased by 50 %', gives 3120. The number is :- 

  1. ((a))

    2080

  2. ((b))

    1040

  3. ((c))

    4160

  4. ((d))

    6240

Show Answer
Answer: ((a))

2080

64

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

Statements:

All hens are juices.

Some juices are nests.

All pins are nests.

Conclusions:

(I): Some pins are hens.

(II): Some pins are juices

  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.

65

Select the option in which the numbers share the same relationship as that shared by the given pairs of numbers. 

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)

185, 113

170, 98

  1. ((a))

    165, 103

  2. ((b))

    112, 50

  3. ((c))

    146, 74

  4. ((d))

    136, 62

Show Answer
Answer: ((a))

165, 103

66

What is the angle formed between two lateral faces of a triangular glass prism called?

  1. ((a))

    Angle of incidence

  2. ((b))

    Angle of refraction 

  3. ((c))

    Angle of deviation

  4. ((d))

    Angle of the prism

Show Answer
Answer: ((a))

Angle of incidence

67

The solution of the system of the given linear equations is:

2x + 3y − z = 5, x − 2y + 4z = −2, 3x + y + 2z = 7

  1. ((a))

    x=447,y=277,z=4\rm x=\frac{-44}{7}, y=\frac{-27}{7},z=4

  2. ((b))

    x=447,y=277,z=8\rm x=\frac{44}{7}, y=\frac{-27}{7},z=-8

  3. ((c))

    x=447,y=277,z=4\rm x=\frac{-44}{7}, y=\frac{27}{7},z=-4

  4. ((d))

    x=447,y=277,z=4\rm x=\frac{44}{7}, y=\frac{-27}{7},z=-4

Show Answer
Answer: ((a))

x=447,y=277,z=4\rm x=\frac{-44}{7}, y=\frac{-27}{7},z=4

68

The Indian Constitution guarantees Fundamental Rights to its citizens under which of the following Articles?

  1. ((a))

    Only Articles 12 to 35

  2. ((b))

    Only Articles 14 to 32

  3. ((c))

    Only Articles 12 to 30 

  4. ((d))

    Only Articles 15 to 35

Show Answer
Answer: ((a))

Only Articles 12 to 35

69

If the resistance of a conductor is doubled while the current remains the same, how will the heat produced per unit time change?

  1. ((a))

    It will quadruple.

  2. ((b))

    It will be halved. 

  3. ((c))

    It will remain the same

  4. ((d))

    It will double. 

Show Answer
Answer: ((a))

It will quadruple.

70

The average price of three items of furniture is Rs 15765. If their prices are in the ratio 3 : 5 : 7, the price of the costliest item (in Rs) is 

  1. ((a))

    22071

  2. ((b))

    3153

  3. ((c))

    7357

  4. ((d))

    5255

Show Answer
Answer: ((a))

22071

71

If x is inversely proportional to y, and y = 5 when x = 2, find the value of x, when y = 41.

  1. ((a))

    1142\frac{11}{42}

  2. ((b))

    1244\frac{12}{44}

  3. ((c))

    1042\frac{10}{42}

  4. ((d))

    1041\frac{10}{41}

Show Answer
Answer: ((a))

1142\frac{11}{42}

72

Select the letter-cluster pair that best represents a similar relationship to the one expressed in the pairs of letter-clusters given below.

WJT : ZNO

KAK : NEF

  1. ((a))

    LBL : OEG

  2. ((b))

    TFV : WJR

  3. ((c))

    MTK : PXG 

  4. ((d))

    NKH : QOC

Show Answer
Answer: ((a))

LBL : OEG

73

Leishmania reproduces by: 

  1. ((a))

    binary fission in any plane

  2. ((b))

    binary fission in only vertical planes

  3. ((c))

    binary fission in two equal halves

  4. ((d))

    binary fission in a definite plane

Show Answer
Answer: ((a))

binary fission in any plane

74

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

68 76 86 98 112 ?

  1. ((a))

    122

  2. ((b))

    125

  3. ((c))

    128

  4. ((d))

    132

Show Answer
Answer: ((a))

122

75

Who among the following was the ruler of Gujarat when Humayun attacked the kingdom in 1532?

  1. ((a))

    Bahadur Shah 

  2. ((b))

    Sikandar Shah 

  3. ((c))

    Muzaffar Shah ll

  4. ((d))

    Zafar Khan Muzaffar

Show Answer
Answer: ((a))

Bahadur Shah 

76

A, B, C, D, E and F 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 is numbered 6

Only four people live between D and F. C lives on an even numbered floor but not on floor number 2. E lives immediately below A but above D.

How many people live below B?

  1. ((a))

    Two

  2. ((b))

    Four

  3. ((c))

    Three

  4. ((d))

    One

Show Answer
Answer: ((a))

Two

77

Which of the following steps is the first step in balancing a chemical equation?

  1. ((a))

    Balancing oxygen atoms

  2. ((b))

    Adding coefficients randomly

  3. ((c))

    Balancing hydrogen atoms

  4. ((d))

    Writing the skeleton equation

Show Answer
Answer: ((a))

Balancing oxygen atoms

78

In a certain code language,

'actor singer dancer’ is coded as ‘ma ph st’,

‘dancer doctor engineer’ is coded as ‘cd le ma’ and

‘engineer actor cricketer’ is coded as ‘st bq cd’.

(All the codes are two-letter codes only.)

What is the code for 'actor' in that lanuage?

  1. ((a))

    ma

  2. ((b))

    bq

  3. ((c))

    st

  4. ((d))

    cd

Show Answer
Answer: ((a))

ma

79

Evaluate: 32 ÷ 12 × 3 - 2 × 4

  1. ((a))

    3

  2. ((b))

    0

  3. ((c))

    2

  4. ((d))

    -1

Show Answer
Answer: ((a))

3

80

Which of the following is correct with regard to resistances in a series circuit?

  1. ((a))

    Total resistance is less than any individual resistance. 

  2. ((b))

    Total resistance is equal to the product of all resistances.

  3. ((c))

    Total resistance is inversely proportional to each resistance. 

  4. ((d))

    Total resistance is equal to the sum of all individual resistances. 

Show Answer
Answer: ((a))

Total resistance is less than any individual resistance. 

81

Anamika travels a distance of 183 km with speed of 61 km/h and 225 km with 45 km/h by her car. Find the average speed (in km/h) of Anamika.

  1. ((a))

    51

  2. ((b))

    59

  3. ((c))

    54

  4. ((d))

    56

Show Answer
Answer: ((a))

51

82

AB and CD are parallel straight lines and HI is the transversal intersecting AB at E and CD at F. G is a point between the lines AB and CD but not on HI, such that ∠EGF = 65°. If 25\frac{2}{5} × m∠BEG = 35\frac{3}{5} × m∠DFG, and m∠DFG = 13\frac{1}{3} × m∠DFE, what is the measure of ∠FEG?

  1. ((a))

    62°

  2. ((b))

    63°

  3. ((c))

    52°

  4. ((d))

    69°

Show Answer
Answer: ((a))

62°

83

Where does the image form when an object is positioned at the centre of curvature of a concave mirror?

  1. ((a))

    At the pole 

  2. ((b))

    At infinity 

  3. ((c))

    At the centre of curvature

  4. ((d))

    At the focal point

Show Answer
Answer: ((a))

At the pole 

84

When Plaster of Paris is mixed with water, it undergoes which of the following changes?

  1. ((a))

    It produces a gas. 

  2. ((b))

    It loses all its water molecules

  3. ((c))

    It changes to gypsum.

  4. ((d))

    It dissolves completely. 

Show Answer
Answer: ((a))

It produces a gas. 

85

What is the average of all the natural numbers from 1 to 97? 

  1. ((a))

    49

  2. ((b))

    48.5

  3. ((c))

    50

  4. ((d))

    49.5

Show Answer
Answer: ((a))

49

86

Find the cost (in ₹) of digging a cuboidal pit 9 m long, 5 m broad and 4 m deep at the rate of ₹20 per m3.

  1. ((a))

    3,900

  2. ((b))

    3,800

  3. ((c))

    3,700

  4. ((d))

    3,600

Show Answer
Answer: ((a))

3,900

87

(a9×b3×c6)(a10×b6×c3)\rm \frac{(a^9\times b^3\times c^6)}{(a^{10}\times b^6\times c^3)} in simplified form is:

  1. ((a))

    (a1) × (b6) × (c-9)

  2. ((b))

    (a1) × (b1) × (c5)

  3. ((c))

    (a-1) × (b-3) × (c3)

  4. ((d))

    (a-7) × (b-9) × (c4​)

Show Answer
Answer: ((a))

(a1) × (b6) × (c-9)

88

What happens when zinc (Zn) reacts with hydrochloric acid (HCl)?

  1. ((a))

    Zinc is reduced. 

  2. ((b))

    Hydrogen is oxidised.

  3. ((c))

    Zinc is oxidised.

  4. ((d))

    Both Zinc and Hydrogen are oxidised.

Show Answer
Answer: ((a))

Zinc is reduced. 

89

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

17 + 9 − 3 × 3 ÷ 7 = ?

  1. ((a))

    49

  2. ((b))

    40

  3. ((c))

    43

  4. ((d))

    47

Show Answer
Answer: ((a))

49

90

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

(Left) 6 # 1 * 8 & 7 & 5 4 Ω 3 % 9 6 @ 2 $ 9 £ 3 (Right)

How many such symbols are there each of which is immediately preceded by an odd number but NOT immediately followed by an even number?

  1. ((a))

    Three

  2. ((b))

    Two

  3. ((c))

    Four 

  4. ((d))

    One

Show Answer
Answer: ((a))

Three

91

Which of the following waterways is located on the Tapi river?

  1. ((a))

    NW-100

  2. ((b))

    NW-10

  3. ((c))

    NW-91

  4. ((d))

    NW-1

Show Answer
Answer: ((a))

NW-100

92

Which of the following is an example of a decomposition reaction that occurs due to the application of electric current?

  1. ((a))

    Heating calcium carbonate

  2. ((b))

    Electrolysis of water

  3. ((c))

    Decomposition of sodium bicarbonate by heat

  4. ((d))

    Decomposition of potassium permanganate by heat

Show Answer
Answer: ((a))

Heating calcium carbonate

93

NATO will establish a new land command in _________ near the Russian border in 2025 to oversee northern European land operations during potential conflicts.

  1. ((a))

    Turkmenistan

  2. ((b))

    Finland

  3. ((c))

    Ukraine

  4. ((d))

    Kyrgyzstan 

Show Answer
Answer: ((a))

Turkmenistan

94

As the concentration of hydronium ions increases, the pH value _______. 

  1. ((a))

    decreases and then increases

  2. ((b))

    decreases 

  3. ((c))

    remains the same

  4. ((d))

    increases

Show Answer
Answer: ((a))

decreases and then increases

95

A trader claims to sell rice at a profit of 74%, but also dishonestly uses a weight which is 9% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round the answer to the nearest whole number.)

  1. ((a))

    94%

  2. ((b))

    89%

  3. ((c))

    91%

  4. ((d))

    87%

Show Answer
Answer: ((a))

94%

96

A trader lost 10% by selling a shirt for ₹840. He will gain x%' by selling it for ₹1540, the value of x is:

  1. ((a))

    65

  2. ((b))

    80

  3. ((c))

    55

  4. ((d))

    75

Show Answer
Answer: ((a))

65

97

Rose flower pollen has reached Sunflower stigma through pollination. The pollen will be rejected by the stigma because: 

  1. ((a))

    pollen was not of sunflower

  2. ((b))

    pollen was of rose flower

  3. ((c))

    stigma has nothing to do with pollen

  4. ((d))

    pollen has nothing to do with stigma 

Show Answer
Answer: ((a))

pollen was not of sunflower

98

What is the unit of electric power commonly used to measure household energy consumption?

  1. ((a))

    Joules

  2. ((b))

    Kilowatt-hours

  3. ((c))

     Watts

  4. ((d))

    Amperes 

Show Answer
Answer: ((a))

Joules

99

Seven boxes, I, J, K, L, W, X and Y, are kept one over the other but not necessarily in the same order. Only K is kept above W. Only two boxes are kept between W and J. Only L is kept below I. J is not kept immediately below Y. How many boxes are kept between X and L?

  1. ((a))

    Two

  2. ((b))

    Three

  3. ((c))

    One

  4. ((d))

    Four 

Show Answer
Answer: ((a))

Two

100

What is the purpose of using devices like Copper-T in family planning?

  1. ((a))

    To act as a physical barrier to sperm

  2. ((b))

    To alter hormonal levels in women

  3. ((c))

    To prevent fertilised eggs from implanting in the uterus

  4. ((d))

    To block sperm transfer in males

Show Answer
Answer: ((a))

To act as a physical barrier to sperm

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