Official Paper

RRB ALP Physics & Maths 22 Jan 2019 Official Paper (Shift 2) (Previous Year Paper)

175 questions · 150 minutes · with answers · free

Attempt as Timed Mock Test

Part A (100 questions)

1

Identify the one that is not a Class 1 lever.

  1. ((a))

    Scissors

  2. ((b))

    Pliers

  3. ((c))

    See-saw

  4. ((d))

    Nut cracker

Show Answer
Answer: ((a))

Scissors

2

Find the odd word from the given alternatives.

  1. ((a))

    Chessboard

  2. ((b))

    drum

  3. ((c))

    Compact disc

  4. ((d))

    Ball

Show Answer
Answer: ((a))

Chessboard

3

Select the word that is related to the third word in the same way as the second word is related to the first word. 

Liquid : Oil ∷ Gas : ?

  1. ((a))

    Phase

  2. ((b))

    Fuel

  3. ((c))

    Air

  4. ((d))

    Solid

Show Answer
Answer: ((a))

Phase

4

In the question, two statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from co,,only known facts. You have to decide which of the given conclusions, if any follow(s) from the given statements.

Statement 1 : All wax are crayons.

Statement 2: Some wax are pastels.

Conclusion I: Some pastels are crayons.

Conclusion II: All crayons are pastels.

Conclusion III: No crayons are pastels.

  1. ((a))

    Only conclusion III follows

  2. ((b))

    None of the conclusions follows

  3. ((c))

    Only conclusion II follows

  4. ((d))

    Only conclusion I follows

Show Answer
Answer: ((a))

Only conclusion III follows

5

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

UTS, QPO, MLK, IHG,?

  1. ((a))

    EDC

  2. ((b))

    FED

  3. ((c))

    GFE

  4. ((d))

    DCB

Show Answer
Answer: ((a))

EDC

6

When did the Constituent Assembly of India meet for the first time?

  1. ((a))

    9th December 1946

  2. ((b))

    19th December 1946

  3. ((c))

    26th November 1956

  4. ((d))

    26th December 1946

Show Answer
Answer: ((a))

9th December 1946

7

Name the writer of the Book “One life is not Enough”

  1. ((a))

    Karan Singh

  2. ((b))

    Shashi Tharoor

  3. ((c))

    Natwar Singh

  4. ((d))

    Mani Shankar Aiyar

Show Answer
Answer: ((a))

Karan Singh

8

The relative density of gold is 19.3 Its density in SI unit is:

  1. ((a))

    1.93 × 102 kg/m3

  2. ((b))

    19.3 kg/m3

  3. ((c))

    19.3 × 103 kg/m3

  4. ((d))

    19.3 × 102 kg/m3

Show Answer
Answer: ((a))

1.93 × 102 kg/m3

9

Choose the figure that is different from the rest.

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((a))

10

A cubical block of side 10 cm and with a mass of 600 g, floats in water. How much of the cube is submerged?

  1. ((a))

    60%

  2. ((b))

    50%

  3. ((c))

    40%

  4. ((d))

    30%

Show Answer
Answer: ((a))

60%

11

Which of the following Venn diagrams best represents the relationship between apples, fruits and eatables?

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((a))

12

ΔABC is similar to ΔRST. If the ratio of altitudes of ΔABC : ΔRST is 1 : 4 and if RS = 6 cm, then find the length of AB.

  1. ((a))

    2 cm

  2. ((b))

    3 cm

  3. ((c))

    4 cm

  4. ((d))

    1.5 cm

Show Answer
Answer: ((a))

2 cm

13

A pipe normally takes 4 min to fill a bucket. Due to a hole in the bucket, it takes 6 min. In how much time will the hole empty the full bucket?

  1. ((a))

    12 min

  2. ((b))

    15 min

  3. ((c))

    8 min

  4. ((d))

    10 min

Show Answer
Answer: ((a))

12 min

14

Work done will be maximum when the angle between the direction of force and the direction of direction of displacement is

  1. ((a))

    0°

  2. ((b))

    45°

  3. ((c))

    60°

  4. ((d))

    90°

Show Answer
Answer: ((a))

0°

15

Copper expands about _____ times more than glass for the same rise in the temperature.

  1. ((a))

    six

  2. ((b))

    three

  3. ((c))

    four

  4. ((d))

    five

Show Answer
Answer: ((a))

six

16

U, V, W, and X are sitting around a round table. V is sitting next to X. W is facing V. U is to the right of W. Which statement is false?

  1. ((a))

    X is between W and V

  2. ((b))

    X is to the left of V

  3. ((c))

    V is between U and X

  4. ((d))

    V is to the right of U

Show Answer
Answer: ((a))

X is between W and V

17

If 138.21 + 146.24 + 213.82 – 1523.28 = x – 1267.27 then x = ?

  1. ((a))

    239.26

  2. ((b))

    248.36

  3. ((c))

    248.37

  4. ((d))

    242.26

Show Answer
Answer: ((a))

239.26

18

B and C do a certain work in 35 days, while A, B & C can do the same work in 17.5 days. In how many days can A do the same work alone?

  1. ((a))

    35 days

  2. ((b))

    33.67 days

  3. ((c))

    32.5 days

  4. ((d))

    36.33 days

Show Answer
Answer: ((a))

35 days

19

Read the question below followed by two statements. Based on the information, select the option that applies.

Question: How many points did A earn in the game?

Statements:

I) A won 6 times and lost 12 times.

II) Every game lost is a loss of 5 points.

  1. ((a))

    Statement II alone is sufficient while I alone is not sufficient to answer the question 

  2. ((b))

    Either statement I or II is sufficient to answer the question

  3. ((c))

    Statement I alone is sufficient while II alone is not sufficient to answer the question

  4. ((d))

    Neither Statement I nor II is sufficient to answer the question

Show Answer
Answer: ((a))

Statement II alone is sufficient while I alone is not sufficient to answer the question 

20

Given below is a statement followed by tow conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follow(s) beyond a reasonable doubt from the information given in the statement.

Statement: A doctor doubled his fees.

Conclusion I: His revenue doubled, so the number of patients have remained the same.

Conclusion II: His revenue decreased, so the number of patients has fallen by more than half.

  1. ((a))

    Only conclusion I follows

  2. ((b))

    Both conclusions I and II follow

  3. ((c))

    Neither I nor II follows

  4. ((d))

    Only conclusion II follows

Show Answer
Answer: ((a))

Only conclusion I follows

21

If E % F means E is the brother of F, E & F means E is the sister of F and E FmeansEisthedaughterofF,thenwhatdoesP F means E is the daughter of F, then what does P% Q & R S mean?

  1. ((a))

    P is the daughter of S

  2. ((b))

    S is the son of P

  3. ((c))

    S is the daughter of P

  4. ((d))

    P is the son of S

Show Answer
Answer: ((a))

P is the daughter of S

22

Which statement with regard to Class 2 lever is true?

  1. ((a))

    The mechanical advantage is always less than 1

  2. ((b))

    The effort is between the load and the fulcrum

  3. ((c))

    The load is in between the effort and the fulcrum

  4. ((d))

    The fulcrum is near the effort

Show Answer
Answer: ((a))

The mechanical advantage is always less than 1

23

Alexander Fleming is best known for the discovery of:

  1. ((a))

    Penicillin

  2. ((b))

    Proton

  3. ((c))

    Bacteria

  4. ((d))

    X rays

Show Answer
Answer: ((a))

Penicillin

24

The abbreviation SR marked on an engineering drawing stands for:

  1. ((a))

    Screw Runner

  2. ((b))

    Spherical Radius

  3. ((c))

    Sectional Recess

  4. ((d))

    Surface Relief

Show Answer
Answer: ((a))

Screw Runner

25

What is the area of the rectangle whose diagonal is 17 cm and breadth is 8 cm?

  1. ((a))

    120 cm2

  2. ((b))

    125 cm2

  3. ((c))

    128 cm2

  4. ((d))

    136 cm2

Show Answer
Answer: ((a))

120 cm2

26

Three resistors, 9Ω, 9 Ω and X Ω, are connected in parallel. Total resistance of this parallel combination is 3 Ω. Find the unknown resistance X Ω.

  1. ((a))

    12 Ω

  2. ((b))

    3 Ω

  3. ((c))

    6 Ω

  4. ((d))

    9 Ω

Show Answer
Answer: ((a))

12 Ω

27

X had 60 coins, out of which 12\frac{1}{2} were Indian coins and 1/6 were US coins. How many other coins did he have?

  1. ((a))

    20

  2. ((b))

    24

  3. ((c))

    18

  4. ((d))

    21

Show Answer
Answer: ((a))

20

28

Two workers K and L start walking from the same point. K walks 5 km North, then turns right and walks 2 km. Meanwhile, L walks 3 km West, then turns South and walks 4 km. Finally L turns left and walks 5 km. Where is K with respect to L?

  1. ((a))

    K is 1 km South of L

  2. ((b))

    K is 9 km North of L

  3. ((c))

    K is 9 km South of L

  4. ((d))

    K is 1 km North of L

Show Answer
Answer: ((a))

K is 1 km South of L

29

How much will a sum of Rs. 2500 amount to in 1 year at 4% interest rate, when the interest is compunded half - yearly?

  1. ((a))

    Rs. 2601

  2. ((b))

    Rs. 2656

  3. ((c))

    Rs. 2610

  4. ((d))

    Rs. 2600

Show Answer
Answer: ((a))

Rs. 2601

30

Select the number that is related to the third number in the same way as the second number is related to the first number.

-13/11 : 11/13 ∷ 7/5 : ?

  1. ((a))

    -13/7

  2. ((b))

    5/7

  3. ((c))

    11/7

  4. ((d))

    -5/7

Show Answer
Answer: ((a))

-13/7

31

The rate of change of velocity of an object is constant. Its average velocity is:

  1. ((a))

    The product of the initial and final velocity

  2. ((b))

    Half of the difference of the final and initial velocity

  3. ((c))

    Half of the sum of the initial and final velocity

  4. ((d))

    The sum of the initial and final velocity

Show Answer
Answer: ((a))

The product of the initial and final velocity

32

What is the approximate percentage of India’s populations as a proportion of the world population as of 2018?

  1. ((a))

    18%

  2. ((b))

    8%

  3. ((c))

    12%

  4. ((d))

    10%

Show Answer
Answer: ((a))

18%

33

A wire carries a steady current of 0.2 A for a period of 10 s. The total charge that passes through the wire in this time interval is:

  1. ((a))

    0.02 C

  2. ((b))

    50 C

  3. ((c))

    20 C

  4. ((d))

    2.0 C

Show Answer
Answer: ((a))

0.02 C

34

Water has the maximum density at ______ °C.

  1. ((a))

    4

  2. ((b))

    22

  3. ((c))

    2

  4. ((d))

    0

Show Answer
Answer: ((a))

4

35

95°F = ______ °C

  1. ((a))

    45

  2. ((b))

    25

  3. ((c))

    15

  4. ((d))

    35

Show Answer
Answer: ((a))

45

36

What is the side of a cube if its lateral surface area is 324 sq cm?

  1. ((a))

    8 cm

  2. ((b))

    10 cm

  3. ((c))

    9 cm

  4. ((d))

    11 cm

Show Answer
Answer: ((a))

8 cm

37

In the following figure, square represents Nurses, triangle represents cyclists, circle represents bachelors and rectangle represents Americans. Which set of letters represents Americans who are bachelors?

  1. ((a))

    LJ

  2. ((b))

    DGF

  3. ((c))

    IK

  4. ((d))

    JHI

Show Answer
Answer: ((a))

LJ

38

The electric current flowing through a metallic wire is directly proportional to the potential difference V across its ends, provided its _____ remains the same.

  1. ((a))

    voltage

  2. ((b))

    energy

  3. ((c))

    charge

  4. ((d))

    temperature

Show Answer
Answer: ((a))

voltage

39

Point A divides a line segment BC in the ratio 2 : 1 Co-ordinates of B are (3, -4) and C are (0, 5). What are the coordinates of point A?

  1. ((a))

    (-1, 2)

  2. ((b))

    (-2, 1)

  3. ((c))

    (2, 1)

  4. ((d))

    (1, 2)

Show Answer
Answer: ((a))

(-1, 2)

40

The actual weight of a person is determined by his:

  1. ((a))

    Mass and width

  2. ((b))

    Mass

  3. ((c))

    Mass and height

  4. ((d))

    Mass and the acceleration due to gravity

Show Answer
Answer: ((a))

Mass and width

41

In a Class 3 lever, the effort and load move:

  1. ((a))

    In the opposite direction

  2. ((b))

    In the same direction

  3. ((c))

    In the perpendicular direction

  4. ((d))

    Depending on the load

Show Answer
Answer: ((a))

In the opposite direction

42

According to National AIDS Control Organisation, almost 50% of new HIV infections are taking place in the age group of:

  1. ((a))

    15 - 24 years

  2. ((b))

    32 - 40 years

  3. ((c))

    24 - 32 years

  4. ((d))

    40 - 60 years

Show Answer
Answer: ((a))

15 - 24 years

43

The sum of the present ages of a father and his son is 60 years. 5 years from now, the ratio of their ages will be 5 : 2. What is the current age of the son?

  1. ((a))

    25 years

  2. ((b))

    20 years

  3. ((c))

    15 years

  4. ((d))

    10 years

Show Answer
Answer: ((a))

25 years

44

An object starts moving from rest, with constant acceleration. Its velocity is:

  1. ((a))

    Inversely proportional to time

  2. ((b))

    directly proportional to time

  3. ((c))

    Inversely proportional to time square

  4. ((d))

    Directly proportional to time square

Show Answer
Answer: ((a))

Inversely proportional to time

45

A ________ is a curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line.

  1. ((a))

    Hurwitz

  2. ((b))

    Fermat

  3. ((c))

    Hyperelliptic

  4. ((d))

    Trochoid

Show Answer
Answer: ((a))

Hurwitz

46

The boiling and freezing points of water are exactly _____ degrees apart on the Fahrenheit scale.

  1. ((a))

    180

  2. ((b))

    273

  3. ((c))

    100

  4. ((d))

    50

Show Answer
Answer: ((a))

180

47

If the total energy of the reactants is more than the products of the reaction, heat is released and the reaction is said to be a/an ____ reaction.

  1. ((a))

    exothermic

  2. ((b))

    potential

  3. ((c))

    endothermic

  4. ((d))

    work

Show Answer
Answer: ((a))

exothermic

48

The duplicate ratio of 4 : 5 is:

  1. ((a))

    16 : 25

  2. ((b))

    64 : 125

  3. ((c))

    4 : 5

  4. ((d))

    5 : 4

Show Answer
Answer: ((a))

16 : 25

49

The compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 420. What would be the simple interest on the same sum for the same period and the same rate?

  1. ((a))

    Rs. 375

  2. ((b))

    Rs. 380

  3. ((c))

    Rs. 350

  4. ((d))

    Rs. 400

Show Answer
Answer: ((a))

Rs. 375

50

Al-Haram Mosque is the largest mosque in the world. It is situated in:

  1. ((a))

    Batna

  2. ((b))

    Jerusalem

  3. ((c))

    Medina

  4. ((d))

    Mecca

Show Answer
Answer: ((a))

Batna

51

In a certain code language, ‘+’ represents ‘×’, ‘-‘ represents ‘+’, ‘×’ represents ‘÷’,‘ ÷’ represents ‘ -‘. Find out the answer to the following expression in that code language.

8 – 4 × 2 + 6 = ?

  1. ((a))

    10

  2. ((b))

    12

  3. ((c))

    20

  4. ((d))

    18

Show Answer
Answer: ((a))

10

52

Which statement with regard to Class 3 lever is true?

  1. ((a))

    The fulcrum is between the load and the effort

  2. ((b))

    The effort is between the load and the fulcrum

  3. ((c))

    The load is in between the effort and the fulcrum

  4. ((d))

    The fulcrum is near the effort

Show Answer
Answer: ((a))

The fulcrum is between the load and the effort

53

Two resistors, one of 12 Ω and the other of 24 Ω, are connected in parallel. This combination is connected in series with a 22 Ω resistor and a 12 V battery. The current in 24 Ω resistor is:

  1. ((a))

    (8/15)A

  2. ((b))

    (6/15)A

  3. ((c))

    (2/15)A

  4. ((d))

    (4/15)A

Show Answer
Answer: ((a))

(8/15)A

54

A statement is given followed by some conclusions as part of the options. Select the conclusion that logically follows the statement.

Statement: Polio vaccines given to children below 5 years of age reduce-instances of polio in the vaccinated children.

  1. ((a))

    All children who are vaccinated will never get polio.

  2. ((b))

    If the cost of the vaccination is more than the cost of treatment, then the vaccination should be suspended.

  3. ((c))

    Some children get polio despite getting polio vaccines.

  4. ((d))

    Some children may get polio via vaccinations.

Show Answer
Answer: ((a))

All children who are vaccinated will never get polio.

55

An object starts from rest at x= 0 and t = 0. It moves with a constant acceleration of 3m/s2 along the x-axis. What is its average velocity between time 4 s to 8 s?

  1. ((a))

    12 m/s

  2. ((b))

    3 m/s

  3. ((c))

    6 m/s

  4. ((d))

    18 m/s

Show Answer
Answer: ((a))

12 m/s

56

Which two mathematical symbols need to be interchanged to correct the below equation?

9 + 3 × 2 – 8 ÷ 4 = 8

  1. ((a))

    ÷ and ×

  2. ((b))

    ÷ and +

  3. ((c))

    × and -

  4. ((d))
    • and ×
Show Answer
Answer: ((a))

÷ and ×

57

How much work is done in moving a charge of 10 C across two points having a potential difference 20 V?

  1. ((a))

    10 J

  2. ((b))

    200 J

  3. ((c))

    2 J

  4. ((d))

    0.5 J

Show Answer
Answer: ((a))

10 J

58

Which mountain has the highest elevation in the African continent?

  1. ((a))

    Mt. Everest

  2. ((b))

    Mt. Elbrus

  3. ((c))

    Mt. Kosciusko

  4. ((d))

    Mt. Kilimanjaro

Show Answer
Answer: ((a))

Mt. Everest

59

What is the value of √735/√375?

  1. ((a))

    13/5

  2. ((b))

    5/13

  3. ((c))

    7/5

  4. ((d))

    5/7

Show Answer
Answer: ((a))

13/5

60

The geometric mean of 9 and 81 is:

  1. ((a))

    27

  2. ((b))

    24

  3. ((c))

    21

  4. ((d))

    30

Show Answer
Answer: ((a))

27

61

An article, whose marked price is Rs. 100, was bought at a discount of 10% At what price should it be sold to have a profit of 25%?

  1. ((a))

    Rs. 105

  2. ((b))

    Rs. 110

  3. ((c))

    Rs. 112.50

  4. ((d))

    Rs. 107.5

Show Answer
Answer: ((a))

Rs. 105

62

An obtuse angle is:

  1. ((a))

    Equal to 45°

  2. ((b))

    Less than 90° 

  3. ((c))

    Equal to 90°

  4. ((d))

    Greater than 90° 

Show Answer
Answer: ((a))

Equal to 45°

63

In the question, two statements are given, followed by two conclusions I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the give conclusions, if any, follow(S) from the given statements.

Statement 1: No ties are bows.

Statement 2: All bows are silk.

Conclusion I: Some ties are silk.

Conclusion II: Some silk are bows.

  1. ((a))

    Only conclusion I follows

  2. ((b))

    Both I and II follow

  3. ((c))

    Neither I nor II follows

  4. ((d))

    Only conclusion II follows

Show Answer
Answer: ((a))

Only conclusion I follows

64

Where is the headquarters of the World Wide Fund for Nature?

  1. ((a))

    Germany

  2. ((b))

    Switzerland

  3. ((c))

    Austria

  4. ((d))

    France

Show Answer
Answer: ((a))

Germany

65

Consider a planet whose mass and radius both are one half to that of Earth. An object of weight W on Earth will weigh ________ on that planet.

  1. ((a))

    W/4

  2. ((b))

    W

  3. ((c))

    W/2

  4. ((d))

    2 W

Show Answer
Answer: ((a))

W/4

66

Choose the figure that is different from the rest.

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((a))

67

A girl of weight 440 N climbs up a rope through a height of 7 m in 20 s. The power expended by the girl is:

  1. ((a))

    154 W

  2. ((b))

    15.4 W

  3. ((c))

    72 W

  4. ((d))

    36 W

Show Answer
Answer: ((a))

154 W

68

In ΔABC, right angle at A. If ∠C = 30°, then sec B =

  1. ((a))

    2

  2. ((b))

    1/√2

  3. ((c))

    0.50

  4. ((d))

    √2

Show Answer
Answer: ((a))

2

69

A piece of programming code inserted into another program to cause damage is called:

  1. ((a))

    Virus

  2. ((b))

    Malware

  3. ((c))

    Spam

  4. ((d))

    Viral

Show Answer
Answer: ((a))

Virus

70

A fishing boat sails 9 km South in still water. It then turns East and sails 8 km, turns North and sails 9 km, then turns to its right and sails 12 km. Where is the boat now with reference to its starting position?

  1. ((a))

    4 km East

  2. ((b))

    4 km West

  3. ((c))

    20 km West

  4. ((d))

    20 km East

Show Answer
Answer: ((a))

4 km East

71

A file, which is to archive and compress them into one file of smaller size using a program is called as ____.

  1. ((a))

    SSL

  2. ((b))

    ZIP

  3. ((c))

    SAAS

  4. ((d))

    SEO

Show Answer
Answer: ((a))

SSL

72

If a six digit number 738A6A is divisible by 11 and a three digit number 68X is divisible by 9, then the value of (A + X) is:

  1. ((a))

    11

  2. ((b))

    15

  3. ((c))

    12

  4. ((d))

    13

Show Answer
Answer: ((a))

11

73

________ curve is a curve traced by the free end of a thread unwound from a circle or a polygon in such a way that the thread is always tight and tangential to the circle or side of the polygon.

  1. ((a))

    A logarithmic

  2. ((b))

    A sinusoidal

  3. ((c))

    An exponential

  4. ((d))

    An involute

Show Answer
Answer: ((a))

A logarithmic

74

If an object has a mass of 100 kg on Earth, what would be its mass on the Moon?

  1. ((a))

    0 kg

  2. ((b))

    100 kg

  3. ((c))

    16.7 kg

  4. ((d))

    980 kg

Show Answer
Answer: ((a))

0 kg

75

18% of 90% of 500 = ?

  1. ((a))

    79

  2. ((b))

    80

  3. ((c))

    81

  4. ((d))

    78

Show Answer
Answer: ((a))

79

76

A regular dodecahedron has twelve identical _____ faces.

  1. ((a))

    Pentagonal

  2. ((b))

    Quadrilateral

  3. ((c))

    Triangular

  4. ((d))

    Hexagonal 

Show Answer
Answer: ((a))

Pentagonal

77

An airplane flies at the speed of 1080 kmph. How much distance does it cover in a flight of 5 sec?

  1. ((a))

    1250 m

  2. ((b))

    1625 m

  3. ((c))

    1350 m

  4. ((d))

    1500 m

Show Answer
Answer: ((a))

1250 m

78

“Gudi Padwa” is an auspicious day that marks the beginning of the traditional New Year for Marathi Hindus. Which Hindu month is it celebrated in?

  1. ((a))

    Vaisakha

  2. ((b))

    Bhadra

  3. ((c))

    Shravana

  4. ((d))

    Chaitra

Show Answer
Answer: ((a))

Vaisakha

79

A concrete wall of thickness 15 cm has inside temperature 25°C and outside temperature 5°C. The rate of heat loss through per square metre of the wall (thermal conductivity 0.81 J/(s m K)) is:

  1. ((a))

    54 J/s

  2. ((b))

    163 J/s

  3. ((c))

    120 J/s

  4. ((d))

    108 J/s

Show Answer
Answer: ((a))

54 J/s

80

Who was the first Indian to receive a Noble Prize?

  1. ((a))

    Rabindranath Tagore

  2. ((b))

    C V Raman

  3. ((c))

    Mother Teresa

  4. ((d))

    Amartya Sen

Show Answer
Answer: ((a))

Rabindranath Tagore

81

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.

4.6, 5.2, 5.8, ?, 7, 7.6

  1. ((a))

    7.2

  2. ((b))

    6.8

  3. ((c))

    6.4

  4. ((d))

    6.2

Show Answer
Answer: ((a))

7.2

82

An article of Rs. 14000 was sold at a discount of 10% then a profit of 5% would have been made, what is the cost price?

  1. ((a))

    Rs. 12000

  2. ((b))

    Rs. 12500

  3. ((c))

    Rs. 11500

  4. ((d))

    Rs. 12600

Show Answer
Answer: ((a))

Rs. 12000

83

In a certain code language, 286 means ‘egg is white’, 586 means ‘milk is white’ and 524 means ‘egg or milk’ the code for ‘or’.

  1. ((a))

    6

  2. ((b))

    5

  3. ((c))

    4

  4. ((d))

    2

Show Answer
Answer: ((a))

6

84

What is the minimum number of lines required to make the given image?

  1. ((a))

    10

  2. ((b))

    12

  3. ((c))

    9

  4. ((d))

    11

Show Answer
Answer: ((a))

10

85

A cylindrical wire of length L and radius r has resistance R. The resistance of another wire of the same material but of twice its length and one-fourth its radius is:

  1. ((a))

    32R

  2. ((b))

    8R

  3. ((c))

    R

  4. ((d))

    16R

Show Answer
Answer: ((a))

32R

86

What is the angle between the two hands of a clock when the time shown by the clock is 4 hours 15 minutes?

  1. ((a))

    37.5 degrees

  2. ((b))

    30 degrees

  3. ((c))

    40 degrees

  4. ((d))

    32.5 degrees

Show Answer
Answer: ((a))

37.5 degrees

87

Which of these is the top apple producing country of the world?

  1. ((a))

    China

  2. ((b))

    Poland

  3. ((c))

    United Kingdom

  4. ((d))

    united States

Show Answer
Answer: ((a))

China

88

Two taps take 10 min and 15 min, respectively, to fill an empty pool. The first tap was ON for 4 min, after which it stopped working. How much time will the second tap take to fill the pool?

  1. ((a))

    10 min

  2. ((b))

    12 min

  3. ((c))

    8 min

  4. ((d))

    9 min

Show Answer
Answer: ((a))

10 min

89

Find the odd set of letters from the given alternatives.

  1. ((a))

    QOM

  2. ((b))

    GIK

  3. ((c))

    ECA

  4. ((d))

    WUS

Show Answer
Answer: ((a))

QOM

90

Identify the material having the highest coefficient of volume expansion.

  1. ((a))

    Brass

  2. ((b))

    Hard rubber

  3. ((c))

    Mercury

  4. ((d))

    Iron

Show Answer
Answer: ((a))

Brass

91

An object is moving with a speed 100 m/s Find the distance travelled by this object in one minute.

  1. ((a))

    10 km

  2. ((b))

    6 km

  3. ((c))

    100 km

  4. ((d))

    0.6 km

Show Answer
Answer: ((a))

10 km

92

Four 100 Ω resistors are connected in parallel and this combination is connected across a 100 V supply voltage. Find the power dissipation in each resistor.

  1. ((a))

    100 W

  2. ((b))

    200 W

  3. ((c))

    400 W

  4. ((d))

    300 W

Show Answer
Answer: ((a))

100 W

93

A ball of mass m is dropped from a height H. At height H/3, the ratio of its potential energy (PE) to kinetic energy (KE) is equal to:

  1. ((a))

    1/4

  2. ((b))

    1

  3. ((c))

    1/3

  4. ((d))

    1/2

Show Answer
Answer: ((a))

1/4

94

When 321684 is divided by 5, the remainder is:

  1. ((a))

    3

  2. ((b))

    1

  3. ((c))

    2

  4. ((d))

    4

Show Answer
Answer: ((a))

3

95

If a – b = 5 and ab = 24, then a2 + b2 =

  1. ((a))

    73

  2. ((b))

    36

  3. ((c))

    1

  4. ((d))

    72

Show Answer
Answer: ((a))

73

96

If STARCH is coded as QRYPAF, then how will END be coded as?

  1. ((a))

    QPO

  2. ((b))

    CLB

  3. ((c))

    IHG

  4. ((d))

    EDC

Show Answer
Answer: ((a))

QPO

97

The Ideal-gas equation is ______.

  1. ((a))

    PV/T = μR

  2. ((b))

    V/T = (1/μ) R

  3. ((c))

    P/VT = μR

  4. ((d))

    T/PV = μR

Show Answer
Answer: ((a))

PV/T = μR

98

A 50 g block of copper is heated from 20°C to 60°C. How much heat is transferred to the block (specific heat of copper 386 Jkg-1 K-1)

  1. ((a))

    320 J

  2. ((b))

    772 J

  3. ((c))

    852 J

  4. ((d))

    572 J

Show Answer
Answer: ((a))

320 J

99

If I + J means I is the father of J; I – J means I is the son-in-law of J; and I * J means I is the wife of J, then which of the following shows that F is the brother of C, considering that C has only one sibling?

  1. ((a))

    C + D – E * F

  2. ((b))

    C * D – E + F

  3. ((c))

    C – E * D + F

  4. ((d))

    C + E – D * F

Show Answer
Answer: ((a))

C + D – E * F

100

What is the least number which, when divided by 5, 6, 8 and 10 leaves a remainder of 2 in each case?

  1. ((a))

    128

  2. ((b))

    122

  3. ((c))

    162

  4. ((d))

    118

Show Answer
Answer: ((a))

128

Part B (75 questions)

101

The following lines with the equations

x + 2y = 12,

4x + 8y = 48

  1. ((a))

    are perpendicular to each other

  2. ((b))

    are coincident with each other

  3. ((c))

    are parallel

  4. ((d))

    pass through the origin

Show Answer
Answer: ((a))

are perpendicular to each other

102

What is the radius of a circle in cm where the central angle of 30° intercepts an arc of length 2 cm? (take π = 22 / 7)

  1. ((a))

    3.98

  2. ((b))

    3.72

  3. ((c))

    3.82

  4. ((d))

    3.56

Show Answer
Answer: ((a))

3.98

103

A concave mirror produces a three times magnified (enlarged) real image of an object placed at 10 cm in front of it. Which option describes the image currently?

  1. ((a))

    An inverted image is formed at a distance of 20 cm in front of the given concave mirror.

  2. ((b))

    An erect image is formed at a distance of 30 cm in front of the given concave mirror

  3. ((c))

    An inverted image is formed at a distance of 30 cm in front of the given concave mirror

  4. ((d))

    An erect image is formed at a distance of 20 cm in front of the given concave mirror

Show Answer
Answer: ((a))

An inverted image is formed at a distance of 20 cm in front of the given concave mirror.

104

In a right-angled triangle, right-angled at A, what is the value of sec B, if BC is 5.2 cm and AB is 3 cm.

  1. ((a))

    1.6

  2. ((b))

    1.07

  3. ((c))

    1.5

  4. ((d))

    1.7

Show Answer
Answer: ((a))

1.6

105

A 165 cm tall man standing 500 cm away from the wall looks at a hooks on the wall with an angle of elevation of 450 what is the height at which the hooks is in the wall?

  1. ((a))

    600 cm

  2. ((b))

    750 cm

  3. ((c))

    700 cm

  4. ((d))

    665 cm

Show Answer
Answer: ((a))

600 cm

106

Find the mean of the following numbers:

20, 18, 16, 25, 19, 22, 18, 16, 23, 14

  1. ((a))

    19.01

  2. ((b))

    18.6

  3. ((c))

    19.1

  4. ((d))

    18.5

Show Answer
Answer: ((a))

19.01

107

If g on the surface of the earth is 10m/s210m/s^2, its value at a height of 6400 km is (Radius of the earth = 6400 km)

  1. ((a))

    5 ms−25 \ ms^{-2}

  2. ((b))

    20 ms−220 \ ms^{-2}

  3. ((c))

    2.5 ms−22.5 \ ms^{-2}

  4. ((d))

    10 ms−210 \ ms^{-2}

Show Answer
Answer: ((a))

5 ms−25 \ ms^{-2}

108

The radii of the internal and external surfaces of a hollow spherical shell are 4 cm and 6 cm respectively. If is melted and recast into a solid cylinder of height 4 / 3 cm, find the diameter of the cylinder.

  1. ((a))

    2√38 cm

  2. ((b))

    4√38 cm

  3. ((c))

    4√19 cm

  4. ((d))

    3√38 cm

Show Answer
Answer: ((a))

2√38 cm

109

By applying the brakes without causing a skid, the driver of a car is able to stop within a distance of 5m, if it is going at 36 kmph. If the car were going at 72 kmph, using the same brakes, he can stop the car over a distance of:

  1. ((a))

    10 m

  2. ((b))

    20 m

  3. ((c))

    40 m

  4. ((d))

    2.5 m

Show Answer
Answer: ((a))

10 m

110

What would be the 178th term in the following series?

2, 5, 8, 11, 14, …….

  1. ((a))

    536

  2. ((b))

    533

  3. ((c))

    539

  4. ((d))

    531

Show Answer
Answer: ((a))

536

111

For a pair of similar triangles shown in the figure, the angles made at B and R are same in both the triangles BAC and RAQ. If the ratio of the areas of the two triangles is 2 : 1, and if the area of BAC is 100 cm2 then what is the area of RAQ in sq.cm.?

  1. ((a))

    50

  2. ((b))

    4

  3. ((c))

    5

  4. ((d))

    10

Show Answer
Answer: ((a))

50

112

If x =2 is one of the zeros of the polynomial x3 - 6x2 + 11x - 6, which are the other two zeros?

  1. ((a))

    1, 3

  2. ((b))

    1, -3

  3. ((c))

    -1, -3

  4. ((d))

    -1, 3

Show Answer
Answer: ((a))

1, 3

113

When white light enters a prism, it gets splitted into its constituent colours. This is due to:

  1. ((a))

    diffraction of light

  2. ((b))

    interference of light

  3. ((c))

    high density of prism material

  4. ((d))

    because speed of light is different for different wavelengths

Show Answer
Answer: ((a))

diffraction of light

114

A lorry and a car moving with the same kinetic energy are brought to rest by applying the same retarding force. Then:

  1. ((a))

    lorry will come to rest in a shorter distance

  2. ((b))

    car will come to rest in a shorter distance

  3. ((c))

    in order to know which one will come to rest in a shorter distance, one needs to know the masses of the lorry and the car

  4. ((d))

    both come to rest in same distance

Show Answer
Answer: ((a))

lorry will come to rest in a shorter distance

115

When one joule of energy is consumed in one second, then the power used is said to be?

  1. ((a))

    one watt

  2. ((b))

    one coulomb

  3. ((c))

    one volt

  4. ((d))

    one ampere

Show Answer
Answer: ((a))

one watt

116

The ratio of potential difference across the terminals of a conductor to the current flowing through it is the:

  1. ((a))

    resistance

  2. ((b))

    resistivity

  3. ((c))

    conductivity

  4. ((d))

    conductance

Show Answer
Answer: ((a))

resistance

117

The shadow of a candle fell on the table and made a right-angled triangle with an angle of elevation of 600 from the surface of the table to the upper tip of the flame of the candle. If the length of the candle is 21 cm, how long is the tip of the shadow on the table away from the base of the candle?

  1. ((a))

    2√3 cm

  2. ((b))

    4√3 cm

  3. ((c))

    √3 / 2 cm

  4. ((d))

    7√3 cm

Show Answer
Answer: ((a))

2√3 cm

118

Find the roots of the following equation

x2 + 12x - 36 = 0

  1. ((a))

    6(1 + √2), -6(√2 - 1)

  2. ((b))

    -6(1 + √2), 6(√2 - 1)

  3. ((c))

    9(1 + √2), -9(√2 - 1)

  4. ((d))

    6(1 + √2), 6(√2 - 1)

Show Answer
Answer: ((a))

6(1 + √2), -6(√2 - 1)

119

A dice is thrown once. Find the probability of getting an even prime number?

  1. ((a))

    1/2

  2. ((b))

    1/3

  3. ((c))

    1/6

  4. ((d))

    2/5

Show Answer
Answer: ((a))

1/2

120

A thin prism P1P_1 of angle 4° and refractive index 1.54 is combined with another thin prism P2P_2 of refractive index 1.72 to produce dispersion without deviation. The angle of P2P_2 is

  1. ((a))

    3°

  2. ((b))

    2.6°

  3. ((c))

    4°

  4. ((d))

    5.33°

Show Answer
Answer: ((a))

3°

121

Simplify the given expression-

21 × (23 - 12) - ((-1 × 10) + 21)

  1. ((a))

    210

  2. ((b))

    190

  3. ((c))

    220

  4. ((d))

    0

Show Answer
Answer: ((a))

210

122

What is the real part of the number 5i?

  1. ((a))

    0

  2. ((b))

    4

  3. ((c))

    1

  4. ((d))

    5

Show Answer
Answer: ((a))

0

123

Which of the following equations are quadratic equations?

I) x2 + 4x + 23 = x + 33 / 28

II) 2x2 / 3 + 6x + 2 = x2 + 8

III) 6x2 + 4x + 18 = 6x2 - 6x

  1. ((a))

    I & II

  2. ((b))

    I, II & III

  3. ((c))

    I & III

  4. ((d))

    II & III

Show Answer
Answer: ((a))

I & II

124

Nuclear fission can be controlled by using control rods made up of:

  1. ((a))

    Calcium

  2. ((b))

    Magnesium

  3. ((c))

    Boron

  4. ((d))

    Aluminium

Show Answer
Answer: ((a))

Calcium

125

Which of the following is an irrational number?

  1. ((a))

    6 / 15

  2. ((b))

    π / √3

  3. ((c))

    -1

  4. ((d))

    4 / 15

Show Answer
Answer: ((a))

6 / 15

126

In a triangle ABC, the length of the side AB, is 2 cm, the angle at C is 600 and the angle at B is 300, what is the length of side AC?

  1. ((a))

    √2 cm

  2. ((b))

    2 / √3 cm

  3. ((c))

    √3 cm

  4. ((d))

    √3 / 2 cm

Show Answer
Answer: ((a))

√2 cm

127

A cyclist starting from point X travels straight towards east for 3km and then turns right and covers 4km and reaches point Y. What is the shortest distance between point X and Y?

  1. ((a))

    5 km

  2. ((b))

    2 km

  3. ((c))

    7 km

  4. ((d))

    1 km

Show Answer
Answer: ((a))

5 km

128

Biogas is a mixture of gases produced during decomposition of biomass necessarily in the:

  1. ((a))

    absence of oxygen

  2. ((b))

    presence of hydrogen

  3. ((c))

    absence of hydrogen

  4. ((d))

    presence of oxygen

Show Answer
Answer: ((a))

absence of oxygen

129

A train is approaching a station with a uniform velocity of 72 kmph and the frequency of the whistle of that train is 480 Hz. The apparent increase in the frequency of that whistle heard by a stationary observer on the platform is (Velocity of sound in air is 340 m/s). 

  1. ((a))

    45 Hz

  2. ((b))

    15 Hz

  3. ((c))

    60 Hz

  4. ((d))

    30 Hz

Show Answer
Answer: ((a))

45 Hz

130

To keep a particle moving with constant velocity on a frictionless surface, an external force:

  1. ((a))

    should act continously

  2. ((b))

    should act opposite to the direction of motion

  3. ((c))

    is not necessary

  4. ((d))

    should be of variable magnitude

Show Answer
Answer: ((a))

should act continously

131

In a right-angle triangle, right-angled at A, the angle formed at B is 450, if the length of side AB is 3 cm, then what is the length of the side BC?

  1. ((a))

    3√2 cm

  2. ((b))

    2 cm

  3. ((c))

    3 cm

  4. ((d))

    1.5 cm

Show Answer
Answer: ((a))

3√2 cm

132

Find the sum of zeros for the quadratic polynomial 3x2 + 5x - 2

  1. ((a))

    -3 / 5

  2. ((b))

    5 / 3

  3. ((c))

    3 / 5

  4. ((d))

    -5 / 3

Show Answer
Answer: ((a))

-3 / 5

133

The radius of curvature of a spherical mirror is 20 cm. Its focal length is:

  1. ((a))

    20 cm

  2. ((b))

    40 cm

  3. ((c))

    10 cm

  4. ((d))

    30 cm

Show Answer
Answer: ((a))

20 cm

134

In a right-angled triangle, with right angle at A being the side AB is of length 4 cm and BC is 15 cm. what is the length of side AC?

  1. ((a))

    √(15) cm

  2. ((b))

    14 cm

  3. ((c))

    √209 cm

  4. ((d))

    2.09 cm

Show Answer
Answer: ((a))

√(15) cm

135

When light travels from one medium to another, which of the following does not change?

  1. ((a))

    Wavelength

  2. ((b))

    Intensity

  3. ((c))

    Velocity

  4. ((d))

    Frequency

Show Answer
Answer: ((a))

Wavelength

136

Consider a circular loop of wire lying on the plane of a table. Let an electric current pass through the loop clockwise. The direction of the magnetic field inside is:

  1. ((a))

    perpendicular to the plane of the table pointing into it

  2. ((b))

    always along the tangent to the loop in the same sense of flow of the current

  3. ((c))

    perpendicular to the plane of the table and appearing to emerge out from it

  4. ((d))

    always along the tangent to the loop opposite to the sense of flow of the current

Show Answer
Answer: ((a))

perpendicular to the plane of the table pointing into it

137

19 defective pens have accidentally got mixed with 361 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a defective one.

  1. ((a))

    1 / 20

  2. ((b))

    1 / 10

  3. ((c))

    2 / 19

  4. ((d))

    1 / 19

Show Answer
Answer: ((a))

1 / 20

138

As we move from the equator towards the N-pole, while remaining on the surface of earth the value of g

  1. ((a))

    increases and decreases periodically

  2. ((b))

    increases

  3. ((c))

    does not change

  4. ((d))

    decreases

Show Answer
Answer: ((a))

increases and decreases periodically

139

The region surrounding a magnet in which its influence can be felt is called its:

  1. ((a))

    magnetic induction

  2. ((b))

    magnetic screen

  3. ((c))

    magnetic field

  4. ((d))

    magnetic flux

Show Answer
Answer: ((a))

magnetic induction

140

Triangles PQR and BAC are similar triangles.

Triangles BAC have the following sides.

AB = 36 cm

BC = 20 cm

CA = 48 cm

Triangle PQR have the following sides:

PQ = 9 cm

PR = 5 cm

What is the length of side RQ = ?

  1. ((a))

    30 cm

  2. ((b))

    15 cm

  3. ((c))

    3 cm

  4. ((d))

    12 cm

Show Answer
Answer: ((a))

30 cm

141

Find the roots of the following equation:

4x2 + 4x - 3 = 0

  1. ((a))

    -3 / 2, 1 / 2

  2. ((b))

    -3 / 2,-1 / 2

  3. ((c))

    3 / 2, 1 / 2

  4. ((d))

    3 / 2,-1 / 2

Show Answer
Answer: ((a))

-3 / 2, 1 / 2

142

A person wears glasses of power -2.5D. Tell whether the person is long-sighted or near-sighted and find the far point of the person without glasses

  1. ((a))

    near-sighted, -20 cm

  2. ((b))

    long-sighted, -20 cm

  3. ((c))

    near-sighted, -40 cm

  4. ((d))

    long-sighted, -40 cm

Show Answer
Answer: ((a))

near-sighted, -20 cm

143

The dimensional formula of force:

  1. ((a))

    [ML-3T2]

  2. ((b))

    [MLT-2]

  3. ((c))

    [ML-2T-2]

  4. ((d))

    [ML-1T-1]

Show Answer
Answer: ((a))

[ML-3T2]

144

The diameter of a copper sphere is 12 cm. The sphere is melted and is draw into a long wire of uniform circular cross-section. If the length of wire is 48 cm, find its diameter.

  1. ((a))

    3√6 cm

  2. ((b))

    2√6 cm

  3. ((c))

    √6 cm

  4. ((d))

    6 cm

Show Answer
Answer: ((a))

3√6 cm

145

A horizontal force F produces an acceleration of 6m/s26m/s^2 on a block resting on a smooth horizontal surface. The same force produces an acceleration of 3m/s23 m/s^2 on a second block resting on a smooth horizontal surface. If the two blocks are tied together and the same force acts, the acceleration produced will be

  1. ((a))

    1m/s21 m/s^2

  2. ((b))

    2m/s22 m/s^2

  3. ((c))

    4.5m/s24.5 m/s^2

  4. ((d))

    9m/s29 m/s^2

Show Answer
Answer: ((a))

1m/s21 m/s^2

146

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l cm of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

  1. ((a))

    12l2(12+π)cm2\frac{1}{2}{l^2}\left( {12 + \pi } \right)c{m^2}

  2. ((b))

    14l2(24+π)cm2\frac{1}{4}{l^2}\left( {24 + \pi } \right)c{m^2}

  3. ((c))

    13l2(18+π)cm2\frac{1}{3}{l^2}\left( {18 + \pi } \right)c{m^2}

  4. ((d))

    14l2(18+π)cm2\frac{1}{4}{l^2}\left( {18 + \pi } \right)c{m^2}

Show Answer
Answer: ((a))

12l2(12+π)cm2\frac{1}{2}{l^2}\left( {12 + \pi } \right)c{m^2}

147

Find the roots of the following quadratic polynomial x2 - 2x - 15

  1. ((a))

    3, 5

  2. ((b))

    -3, -5

  3. ((c))

    -3, 5

  4. ((d))

    3, -5

Show Answer
Answer: ((a))

3, 5

148

Which of the following is a dimensionless entity?

  1. ((a))

    Velocity

  2. ((b))

    Angle

  3. ((c))

    Mass

  4. ((d))

    Area

Show Answer
Answer: ((a))

Velocity

149

What is the area of the triangle in sq. cm with a base of 10 cm and sides of length 6 cm each?

  1. ((a))

    5√11

  2. ((b))

    11.5

  3. ((c))

    55

  4. ((d))

    11√5

Show Answer
Answer: ((a))

5√11

150

A constant force (F) is applied on a stationary particle of mass 'm'. The velocity attained by the particle after a certain displacement will be proportional to

  1. ((a))

    1m\frac{1}{\sqrt{m}}

  2. ((b))

    m

  3. ((c))

    1/m

  4. ((d))

    m\sqrt{m}

Show Answer
Answer: ((a))

1m\frac{1}{\sqrt{m}}

151

Find the distance between the points (2, 0, 2) and (-2, 2, -2)

  1. ((a))

    √3

  2. ((b))

    3

  3. ((c))

    √6

  4. ((d))

    6

Show Answer
Answer: ((a))

√3

152

The distance covered by a particle in time 't' is given by s=at+bt2s = at + bt^2 where 'a' and 'b' are two constants. The dimensional formula of 'b' is:

  1. ((a))

    [M0 L1 T−2][M^0 \ L^1 \ T^{-2}]

  2. ((b))

    [M0 L2 T−1][M^0 \ L^2 \ T^{-1}]

  3. ((c))

    [M0 L1 T−1][M^0 \ L^1 \ T^{-1}]

  4. ((d))

    [M0 L2 T−2][M^0 \ L^2 \ T^{-2} ]

Show Answer
Answer: ((a))

[M0 L1 T−2][M^0 \ L^1 \ T^{-2}]

153

A person moves 30m north and then 20m towards east and finally 30230\sqrt{2} in south-west direction. The displacement of the person from the origin will be

  1. ((a))

    10 m along south

  2. ((b))

    10 m along west

  3. ((c))

    10 m along north

  4. ((d))

    zero

Show Answer
Answer: ((a))

10 m along south

154

An electric iron of resistance 20 ohm takes a current of 5 A. The heat flow in 30 s is:

  1. ((a))

    1.5×104 J1.5 \times 10^4 \ J

  2. ((b))

    2.5×102 J2.5 \times 10^2 \ J

  3. ((c))

    1.5×105 J1.5 \times 10^5 \ J

  4. ((d))

    1.5×102 J1.5 \times 10^2 \ J

Show Answer
Answer: ((a))

1.5×104 J1.5 \times 10^4 \ J

155

A rope of length 10 m and linear density of 0.5 kg/m is lying lengthwise on a smooth horizontal floor. It is pulled by a force of 25 N. The tension in the rope at a point 6 m away from the point of application is:

  1. ((a))

    10 N

  2. ((b))

    20 N

  3. ((c))

    15 N

  4. ((d))

    5 N

Show Answer
Answer: ((a))

10 N

156

The resistance of a metallic wire of length 1m and area of cross-section 1sq.metre having a resistivity is 2×10−62 \times 10^{-6}  ohm -m is:

  1. ((a))

    2×10−62 \times 10^{-6} ohm

  2. ((b))

    0.5×1060.5 \times 10^{6} ohm

  3. ((c))

    1×10−61 \times 10^{-6} ohm

  4. ((d))

    0.25×10−60.25 \times 10^{-6} ohm

Show Answer
Answer: ((a))

2×10−62 \times 10^{-6} ohm

157

A body is allowed to slide down a frictionless track from rest position at its top under gravity. The track ends in a circular loop of diameter D. Then, the minimum height of the inclined track ( in terms of D ) so that it may complete successfully the loop is

  1. ((a))

    3D/4

  2. ((b))

    9D/4

  3. ((c))

    5D/4

  4. ((d))

    7D/4

Show Answer
Answer: ((a))

3D/4

158

A man weighs 'W' on the surface of earth and his weight at a height '2R' from surface of earth is (R is the Radius of earth).

  1. ((a))

    w9\frac{w}{9}

  2. ((b))

    w6\frac{w}{6}

  3. ((c))

    WW

  4. ((d))

    w3\frac{w}{3}

Show Answer
Answer: ((a))

w9\frac{w}{9}

159

What is the angle at B in the triangle ABC, if the angle made at K is 300 and the triangles shown in the figure are similar

  1. ((a))

    200

  2. ((b))

    600

  3. ((c))

    700

  4. ((d))

    300

Show Answer
Answer: ((a))

200

160

Solutions for the following pair of equations would be

x + 2y = 6,

x - 2y = 16

  1. ((a))

    x = -11, y = -2 / 5

  2. ((b))

    x = -11, y = 2 / 5

  3. ((c))

    x = 11, y = -5 / 2

  4. ((d))

    x = 11, y = 5 / 2

Show Answer
Answer: ((a))

x = -11, y = -2 / 5

161

In a triangle the length of the sides, AB is 3 cm and BC is 5 cm what is the length of AC, if the angle formed at B is 600.

  1. ((a))

    4 cm

  2. ((b))

    19 cm

  3. ((c))

    3 cm 

  4. ((d))

    √19 cm

Show Answer
Answer: ((a))

4 cm

162

An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. The magnification is:

  1. ((a))

    +0.3

  2. ((b))

    +0.6

  3. ((c))

    -0.3

  4. ((d))

    -0.6

Show Answer
Answer: ((a))

+0.3

163

Near and far points of healthy human eye respectively are:

  1. ((a))

    25 cm and 100 cm

  2. ((b))

    25 cm and infinity

  3. ((c))

    0 and infinity

  4. ((d))

    0 and 25 cm

Show Answer
Answer: ((a))

25 cm and 100 cm

164

The nature of the image formed by a concave mirror if the magnification produced by the mirror is +3 is:

  1. ((a))

    virtual, erect and diminished

  2. ((b))

    real, inverted and enlarged

  3. ((c))

    real, inverted and diminished

  4. ((d))

    virtual, erect and enlarged

Show Answer
Answer: ((a))

virtual, erect and diminished

165

What is the common difference of the following A.P. series?

7, 19, 31, 43, …..

  1. ((a))

    19

  2. ((b))

    5

  3. ((c))

    12

  4. ((d))

    7

Show Answer
Answer: ((a))

19

166

Find a point on the Y axis which is equidistant from A(2, -3) and B(-2, 1)

  1. ((a))

    P(0, -1)

  2. ((b))

    P(0, -2)

  3. ((c))

    P(0, 1)

  4. ((d))

    P(0, 2)

Show Answer
Answer: ((a))

P(0, -1)

167

Which of the following is a rational number?

  1. ((a))

    √3

  2. ((b))

    4 - 6i

  3. ((c))

    2

  4. ((d))

    7i

Show Answer
Answer: ((a))

√3

168

A at disco the beam revolves 3600 in 20 minutes. Its maximum coverage is 20 m long. After 2 minutes what length the beam would have covered from its starting point?

  1. ((a))

    2π m

  2. ((b))

    4π m

  3. ((c))

    4 m

  4. ((d))

    2 m

Show Answer
Answer: ((a))

2π m

169

What is the area of this parallelogram is sq.cm.? The measurements are in cm.

  1. ((a))

    24

  2. ((b))

    28

  3. ((c))

    8

  4. ((d))

    16

Show Answer
Answer: ((a))

24

170

Sound waves are ________ waves, and light waves are _______.

  1. ((a))

    Longitudinal mechanical, transverse mechanical

  2. ((b))

    Longitudinal electromagnetic, transverse mechanical

  3. ((c))

    Longitudinal mechanical, transverse electromagnetic

  4. ((d))

    Longitudinal electromagnetic, transverse electromagnetic 

Show Answer
Answer: ((a))

Longitudinal mechanical, transverse mechanical

171

What is the value of (6 + 3i) + (2 + 5i)?

  1. ((a))

    8 + 8i

  2. ((b))

    12 + 15i

  3. ((c))

    4 + 2i

  4. ((d))

    4 - 2i

Show Answer
Answer: ((a))

8 + 8i

172

Keeping the speed of projection constant, the angle of projection is increased from 0° to 90°. Then the horizontal range of the projectile

  1. ((a))

    increases up to 45° and decreases afterwards

  2. ((b))

    increases up to 60° and decreases later

  3. ((c))

    increases up to 45° and remains unaltered thereafter

  4. ((d))

    goes on increasing up to 90°

Show Answer
Answer: ((a))

increases up to 45° and decreases afterwards

173

The 5th and the 17th terms of an A.P. series are 52 and 184 respectively. Find the common difference of the series.

  1. ((a))

    7

  2. ((b))

    5

  3. ((c))

    11

  4. ((d))

    9

Show Answer
Answer: ((a))

7

174

Two plates with diameters 3.5 cm and 2.5 cm are kept one above the other. The larger plate is placed at the bottom. What is the total area of the larger plate in sq. cm that is visible?

  1. ((a))

    2 π

  2. ((b))

    π

  3. ((c))

    1.5 π

  4. ((d))

    2.5 π

Show Answer
Answer: ((a))

2 π

175

Average Acceleration=

  1. ((a))

    Total displacementtotal time\frac{Total \ displacement}{total \ time}

  2. ((b))

    change in velocitytime taken\frac{ change \ in \ velocity}{time \ taken}

  3. ((c))

    distancetime\frac{distance}{time}

  4. ((d))

    change in masstime\frac{change \ in \ mass}{time}

Show Answer
Answer: ((a))

Total displacementtotal time\frac{Total \ displacement}{total \ time}

Attempt this paper under real exam conditions

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

Start Timed Attempt