Official Paper

RRB ALP Physics & Maths 21 Jan 2019 Official Paper (Shift 1) (Previous Year Paper)

175 questions · 150 minutes · with answers · free

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Part A (100 questions)

Which vitamin is needed for proper clotting of blood?

((a))
Vitamin E
((b))
Vitamin D
((c))
Vitamin K
((d))
Vitamin A

Show Answer

Answer: ((a))

Vitamin E

Who is India’s all time leading goal scorer in international football(the record as of October 2018)?

((a))
Gurpreet Singh sandhu
((b))
Bhaichung Bhutia
((c))
Sunil Chhetri
((d))
Subrata Pal

Show Answer

Answer: ((a))

Gurpreet Singh sandhu

An object starts from rest at x = 0 m and moves with a constant acceleration of 3 m/s² along the x-axis. During its journey from x = 13.5 m to x = 54 m, its average velocity is:

((a))
13.5 m/s
((b))
12.0 m/s
((c))
8.5 m/s
((d))
10.0 m/s

Show Answer

Answer: ((a))

13.5 m/s

E, F, G. and H are sitting in a row. F and H are adjacent. E and G are adjacent. G does not want to sit next to either H or F, and H does not want to sit next to E. Which two are sitting at the ends?

((a))
F and E
((b))
F and G
((c))
H and E
((d))
H and G

Show Answer

Answer: ((a))

F and E

Where is the famous temple of Angkor Wat located?

((a))
Vietnam
((b))
Cambodia
((c))
Thailand
((d))
Philippines

Show Answer

Answer: ((a))

Vietnam

Who is the first sportsperson among the below to have won the Bharat Ratna award?

((a))
Sachin Tendulkar
((b))
Dhynachand
((c))
Abhinav Bindra
((d))
Leander Paes

Show Answer

Answer: ((a))

Sachin Tendulkar

A 12V battery is connected parallel to a 5 Ω resistor. Find the current supplied by this battery.

((a))
2.4 A
((b))
2:00 A
((c))
2.8 A
((d))
1.5 A

Show Answer

Answer: ((a))

2.4 A

Which of the following dance forms belongs to the state of Jammu and Kashmir?

((a))
Rouf
((b))
Bidesia
((c))
Karma
((d))
Swang

Show Answer

Answer: ((a))

Rouf

________ is the most common way of connecting computers on a network with wired connection.

((a))
LAN
((b))
Wi-Fi
((c))
Ethernet
((d))
Inernet

Show Answer

Answer: ((a))

LAN

How much heat should be transferred to a 100 g block of aluminum (specific heat 900 Jkg⁻¹K⁻¹) to increase its temperature by 10°C?

((a))
90 J
((b))
900 J
((c))
9 J
((d))
9000 J

Show Answer

Answer: ((a))

90 J

A car accelerating for two seconds would cover ________ times the distance of a car accelerating for only one second (cars start from rest with the same acceleration in both cases).

((a))
four
((b))
two
((c))
One
((d))
three

Show Answer

Answer: ((a))

four

Which Indian CM wrote his/her autobiography titled “My unforgettable Memories”?

((a))
Nitish Kumar
((b))
Arvind Kejriwal
((c))
Mamta Banerjee
((d))
Jayalalitha

Show Answer

Answer: ((a))

Nitish Kumar

Find the odd set of letters form the given alternatives.

((a))
QRS
((b))
MLK
((c))
WXY
((d))
FGH

Show Answer

Answer: ((a))

QRS

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

Tomato : Red ∷ Leaf :?

((a))
organic
((b))
Flower
((c))
Plant
((d))
Green

Show Answer

Answer: ((a))

organic

Given below is a statement followed by two conclusion numbered I and II. You have to assume everything in the statement to be true, even if it appears at variance from commonly known facts. Then consider the two conclusions together and decide which of them information given in the statement.

Statement:

A research found that if high school students get eight hours of sleep instead of 6 hours before exam, then their marks improve by 20%

Conclusions:

I. Eight hours of sleep is better than six hours of sleep if a student wants better marks.

II. Student are stressed as all exams are tough.

((a))
Only conclusion II follows
((b))
Neither conclusion I nor II follows
((c))
Only conclusion I follows
((d))
Both conclusions I and II follow.

Show Answer

Answer: ((a))

Only conclusion II follows

77 °F is equal to ________.

((a))
25 °C
((b))
15 °C
((c))
20 °C
((d))
10 °C

Show Answer

Answer: ((a))

25 °C

A can do a certain work in 15 days, while Working together, A and B can do the same work in 7.5 days. How many days will B alone take to do the same work?

((a))
15 days
((b))
12.5 days
((c))
17.5 days
((d))
20 days

Show Answer

Answer: ((a))

15 days

When using an isometric view, you line up the drawing along three axis that are separated by _________ from each other.

((a))
180-degree
((b))
90-degree
((c))
120-degree
((d))
60-degree

Show Answer

Answer: ((a))

180-degree

Electric current is considered to be the flow of _________.

((a))
Negative charges
((b))
Dielectric
((c))
magnet pieces
((d))
Positive charges

Show Answer

Answer: ((a))

Negative charges

Two postmen, C and D, start walking from a post office. C walk 2 km north, then turns to his right and walks 5 km. Meanwhile D walks 5 km East, turns right and walks 6 km. Where is D with respect C?

((a))
D is 8 km south of C
((b))
D is 4 km south of C
((c))
D is 8 km North of C
((d))
D is 4 km North of C

Show Answer

Answer: ((a))

D is 8 km south of C

Which two signs should be interchanged to make the below equation mathematically correct?

12 – 3 + 8 × 2 ÷ 4 = 16

((a))
÷ and ×
((b))
× and -
((c))
- and -
((d))
÷ and -

Show Answer

Answer: ((a))

÷ and ×

A/An ________ view is an orthographic view that is projected onto any plane other than the frontal, horizontal, or profile plane,

((a))
auxiliary
((b))
bevel
((c))
isometric
((d))
parametric

Show Answer

Answer: ((a))

auxiliary

Which device is used for the measurement of heat?

((a))
Wattmeter
((b))
Energy meter
((c))
Ammeter
((d))
Calorimeter

Show Answer

Answer: ((a))

Wattmeter

What will be the difference between the compound interest and simple interest on a sum of Rs. 100 at 10% per annum for 2 years?

((a))
Rs. 2
((b))
Rs. 1.50
((c))
Rs. 1
((d))
Rs. 0.50

Show Answer

Answer: ((a))

Rs. 2

The SI unit for electrical resistivity is _________.

((a))
Tesla
((b))
Ampere/meter
((c))
Volt/meter
((d))
Ohm meter

Show Answer

Answer: ((a))

Tesla

Identify the variable from below that does not describe the behaviour of a gas.

((a))
Temperature
((b))
Volume
((c))
Pressure
((d))
Time

Show Answer

Answer: ((a))

Temperature

When (5)⁵⁰¹ is divided by 126, the remainder is:

((a))
125
((b))
121
((c))
89
((d))
117

Show Answer

Answer: ((a))

125

A 100 gram ball is kept on the top of a building of 70 m height. Find the potential energy of the ball (assume g = 10 m/s²)

((a))
70 J
((b))
80 J
((c))
50 J
((d))
60 J

Show Answer

Answer: ((a))

70 J

A solid sphere of diameter 12 cm is melted and three shorts are prepared. If the diameters of two shorts are 6 cm and 10 cm respectively, what is the surface area (in cm²) of the third short?

((a))
64π
((b))
32π
((c))
48π
((d))
24π

Show Answer

Answer: ((a))

64π

If the unit has one or more moving parts, the extreme positions of the moving parts are indicated in the:

((a))
Continuous wavy line
((b))
Long dashed double-dotted narrow line
((c))
Continuous thick line
((d))
Continuous thin line

Show Answer

Answer: ((a))

Continuous wavy line

Ozone at the higher levels of the atmosphere is a product of _________ molecule.

((a))
UV radiation acting on Hydrogen
((b))
UV radiation acting on Helium
((c))
UV radiation acting on Oxygen
((d))
UV radiation acting on Nitrogen

Show Answer

Answer: ((a))

UV radiation acting on Hydrogen

A bearing or other device is needed to hold the beam in ________ lever/levers.

((a))
Class 1 and 3
((b))
Class 2
((c))
Class 3
((d))
Class 1

Show Answer

Answer: ((a))

Class 1 and 3

Two resistors, one of 20 Ω and the other of 30 Ω are connected in parallel. This combination is connected in series with an 8 Ω resistor and a 12 V battery. The current in the 30 Ω resistor is __________.

((a))
0.24 A
((b))
0.90 A
((c))
0.36 A
((d))
0.60 A

Show Answer

Answer: ((a))

0.24 A

Who is elected as the new President of Badminton Association of India (BAI) in the year 2018?

((a))
Prakash Padukone
((b))
P. Gopichand
((c))
Saina Nehwal
((d))
Himata Biswa Sarma.

Show Answer

Answer: ((a))

Prakash Padukone

The graph of 2x = 5 - 3y cuts the x-axis at the point P (α, β) . The value of (2α + β) is:

((a))
3
((b))
5
((c))
2
((d))
8

Show Answer

Answer: ((a))

The LCM of two numbers is 48. Their ratio is 2:3. What is the sum of the numbers?

((a))
24
((b))
48
((c))
30
((d))
40

Show Answer

Answer: ((a))

When you convert an inch from British to an SI unit, it becomes _____cm.

((a))
25.4
((b))
12
((c))
0.254
((d))
2.54

Show Answer

Answer: ((a))

25.4

What is the least number which, when multiplied by 28, forms a perfect square?

((a))
14
((b))
2
((c))
4
((d))
7

Show Answer

Answer: ((a))

If C% D means C is the mother of D, C $ D means C is the wife of D, and if C & D means C is the son-in-law of D, then what does W % X $ Y & Z mean?

((a))
W is the daughter of son of Z
((b))
Z is wife of W
((c))
Z is the daughter of W
((d))
Z is the husband of W

Show Answer

Answer: ((a))

W is the daughter of son of Z

Reflection of the point (2, 3) on the X-axis is:

((a))
(−2, 3)
((b))
(2, −3)
((c))
(−2, −3)
((d))
(3, 2)

Show Answer

Answer: ((a))

(−2, 3)

A steel rod with the thermal conductivity of 50.2 W /(m-K) has an area of cross-section 0.02 m² and length 15 cm. If the two ends of the rod are maintained at a temperature difference of 300°C, the rate of heat flow through the rod is:

((a))
2.0 kJ/s
((b))
1.0 kJ/s
((c))
4.0 kJ/s
((d))
3.0 kJ/s

Show Answer

Answer: ((a))

2.0 kJ/s

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

((a))
12
((b))
11
((c))
9
((d))
10

Show Answer

Answer: ((a))

The ages of X and Y are in the ratio 4 : 5 After 6 years, the ration will become 6 : 7. What is the current age of Y (in years)?

((a))
20
((b))
5
((c))
10
((d))
15

Show Answer

Answer: ((a))

A 0.5 kg ball is released from the top of a building of a height of 20 m. Find the kinetic energy of the ball, just before it hits the ground (assume g = 10 m/s²).

((a))
80 J
((b))
40 J
((c))
20 J
((d))
100 J

Show Answer

Answer: ((a))

80 J

What is the mean of 2, 5, 8, 14, 21?

((a))
10
((b))
9
((c))
8.5
((d))
9.5

Show Answer

Answer: ((a))

Which country does not form a part of the Middle East?

((a))
Turkey
((b))
Honduras
((c))
Yemen
((d))
Syria

Show Answer

Answer: ((a))

Turkey

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

0.35, 0.49, 0.63, 0.77, ? 1.05

((a))
0.95
((b))
0.83
((c))
0.87
((d))
0.91

Show Answer

Answer: ((a))

0.95

A continuous and closed path of an electric current is called as:

((a))
Electric circuit
((b))
Short circuit
((c))
Magnetic circuit
((d))
Junction

Show Answer

Answer: ((a))

Electric circuit

The ratio of resistance to overcome to the effort applied is referred to as:

((a))
Load
((b))
Mechanical advantage
((c))
Velocity of load
((d))
Velocity of effort

Show Answer

Answer: ((a))

Load

What is the maximum number of auxiliary views of any given object?

((a))
6
((b))
1
((c))
3
((d))
Infinite

Show Answer

Answer: ((a))

What is the mode of 21, 22, 22, 23, 24, 24, 24?

((a))
22
((b))
23
((c))
24
((d))
21

Show Answer

Answer: ((a))

In how many years will the amount of Rs. 1200 double itself under compound interest system of 4% p.a.? (log 2 = 0.30102, log 1.04 = 0.01703)

((a))
18.5
((b))
17.67
((c))
19.33
((d))
20

Show Answer

Answer: ((a))

18.5

How much does the 2^nd diagonal of a rhombus measure if the area is 96 sq cm and the 1^st diagonal measures 6 cm?

((a))
48 cm
((b))
16 cm
((c))
24 cm
((d))
32 cm

Show Answer

Answer: ((a))

48 cm

First aid for strains, sprains and contusions is packaged in the abbreviation RICE, which stands for Rest, Icing, compression and ________.

((a))
Elevation
((b))
Explain
((c))
Expand
((d))
Expert

Show Answer

Answer: ((a))

Elevation

When you double the speed of a car, it takes ________ times more distance to stop it.

((a))
two
((b))
three
((c))
four
((d))
one

Show Answer

Answer: ((a))

two

If we compare the effort arm length with the load arm length in a class 3 lever, then which of the below is true?

((a))
effort arm length can be greater than, equal to or less than the length of the load arm
((b))
effort arm length is always = load arm length
((c))
effort arm length is always < load arm length
((d))
effort arm length is always > load arm length

Show Answer

Answer: ((a))

effort arm length can be greater than, equal to or less than the length of the load arm

The physical place where a computer stores information is called __________.

((a))
Modem
((b))
Hard disk
((c))
Wi-Fi
((d))
POP

Show Answer

Answer: ((a))

Modem

Choose the figure that is different from the rest

((a))
((b))
((c))
((d))

Show Answer

Answer: ((a))

Sec 30° + cos 30° = ?

((a))
7√3 / 6
((b))
√3/6
((c))
7/6
((d))
7/√3

Show Answer

Answer: ((a))

7√3 / 6

Identify which of the below is not a Class 3 lever.

((a))
Tweezers
((b))
Wheelbarrow
((c))
Hockey stick
((d))
Stapler

Show Answer

Answer: ((a))

Tweezers

In a code language, 379 means ‘wood makes chair’, 389 means ‘wood makes table, 872 ‘table and chair’. Find the code for ‘and’.

((a))
9
((b))
2
((c))
7
((d))
8

Show Answer

Answer: ((a))

What is the length of a diagonal of a cube whose side is 3 cm?

((a))
6 cm
((b))
4 cm
((c))
4.5 cm
((d))
3√3 cm

Show Answer

Answer: ((a))

6 cm

Good housekeeping is fundamental to:

((a))
Work permits
((b))
Good safety
((c))
Bad safety
((d))
Machine guards

Show Answer

Answer: ((a))

Work permits

In the Punjabi festival of Lohri, which element of the nature worshipped?

((a))
Air
((b))
Earth
((c))
Water
((d))
Fire

Show Answer

Answer: ((a))

Air

An article was sold for Rs. 760, which incurred a loss of 5%. What is the cost price of the article?

((a))
Rs. 1000
((b))
Rs. 800
((c))
Rs. 960
((d))
Rs. 840

Show Answer

Answer: ((a))

Rs. 1000

"Pathfinder", an American Spacecraft, landed on the planet _______ in 1997.

((a))
Moon
((b))
Venus
((c))
Mars
((d))
Jupiter

Show Answer

Answer: ((a))

Moon

Decide whether the data provided in the statements numbered I and II is sufficient to answer the given question.

Question:

What is the ratio of boys to girls in a class?

Statements:

I. There are 20 boys in the class.

II. The ratio of girls to the number of students in the whole class is 3 : 7

((a))
Either statement I or II is sufficient
((b))
Statement I alone is sufficient while II alone is not sufficient
((c))
Statement II alone is sufficient while I alone is not sufficient.
((d))
Neither statement I nor II is sufficient.

Show Answer

Answer: ((a))

Either statement I or II is sufficient

Three resistors 80 Ω, 120 Ω and 240 Ω are connected in parallel. A 12 V battery is connect across combination of resistors. Find the current drawn from the battery.

((a))
0.3 A
((b))
0.09 A
((c))
0.9 A
((d))
3 A

Show Answer

Answer: ((a))

0.3 A

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 they seem to be at variance with commonly known facts. You have to decide which of the given conclusions, if any, follow(s) from the given statements.

Statements:

Some lemons are yellow.
All yellow are lime.

Conclusions:

I. No lime are lemon.

II. Some lemon are lime.

((a))
Only conclusion I follows
((b))
Neither conclusion I nor II follows
((c))
Only conclusion II follows
((d))
Both conclusions I and II follow.

Show Answer

Answer: ((a))

Only conclusion I follows

Unscramble the letters in the words given below and find the odd word out:

((a))
APEPR
((b))
ENP
((c))
ARERES
((d))
HCRAI

Show Answer

Answer: ((a))

APEPR

When 16 is subtracted from 3 times a number. The result is 8. What is the cube of the original number?

((a))
216
((b))
512
((c))
243
((d))
125

Show Answer

Answer: ((a))

216

If WICKET is coded as UGAICR, then how will MAD be coded as?

((a))
PKN
((b))
EDC
((c))
WDV
((d))
KYB

Show Answer

Answer: ((a))

PKN

ΔXYZ is right-angled at Y. If ∠X = 45°, then sec Z = ?

((a))
2√2
((b))
2
((c))
1/√2
((d))
√2

Show Answer

Answer: ((a))

2√2

Given below is a statement followed by two assumptions numbered I and II. You have to decide which of the assumptions is implicit in the statement.

Statement:

Five-day week will reduce stress on employees.

Assumptions:

I. Employees are always stressed due to personal issues.

II. Five-day week is the new global trend.

((a))
Neither assumption I nor II is implicit
((b))
Only assumption I is implicit
((c))
Both assumptions I and II are implicit
((d))
Only assumption II is implicit

Show Answer

Answer: ((a))

Neither assumption I nor II is implicit

If G + H means G is the sister of H; G – H means G is the daughter H and G * H means G is wife of H, which of the following shows that Q is the father of P?

((a))
P + R – S * Q
((b))
P * R – S + Q
((c))
P – R + S * Q
((d))
P * R + S - Q

Show Answer

Answer: ((a))

P + R – S * Q

Pipe A fills a tank at 50 m³/hour. Pipe B takes 4 hours to fill the tank. When opened together, they fill the tank in 2 hours. What is the volume of the tank?

((a))
150 m³
((b))
100 m³
((c))
225 m³
((d))
200 m³

Show Answer

Answer: ((a))

150 m³

Which of the following given diagrams best represents the relationship between carnivores, lions and tigers?

((a))
((b))
((c))
((d))

Show Answer

Answer: ((a))

What is the value of 10% of 110% of 110?

((a))
11.55
((b))
12.1
((c))
6.05
((d))
18.15

Show Answer

Answer: ((a))

11.55

Select the combination of numbers so that the jumbled letters arranged accordingly will form a meaningful English word.

O	H	R	E	M	T
1	2	3	4	5	6

((a))
5, 1, 6, 2, 4, 3
((b))
6, 1, 3, 5, 4, 2
((c))
2, 4, 3, 6, 1 , 5
((d))
3, 4, 6, 1, 2, 5

Show Answer

Answer: ((a))

5, 1, 6, 2, 4, 3

A and B can do a certain work in 12 days, B & C can do the same work in 15 days, while A and C can do the same work. In 36 days. In how many days will all three together complete that work?

((a))
11.15 days
((b))
11.20 days
((c))
10.75 days
((d))
11.25 days

Show Answer

Answer: ((a))

11.15 days

A villager walks 8 km North, then turns East and walks 2 km, then turns South and walks 5 km, then turns to his right and walks 2 km. Where is he now with reference to his starting position?

((a))
3 km North
((b))
13 km North
((c))
13 km South
((d))
3 km South

Show Answer

Answer: ((a))

3 km North

An article was sold for Rs. 642 when the cost price was Rs. 600. What is the profit percent earned?

((a))
5%
((b))
7%
((c))
8%
((d))
6%

Show Answer

Answer: ((a))

A tank can be filled in 9 hours. Because of a leak, it takes 10 hours to fill. In how much time will the leak alone empty the full tank?

((a))
75 hours
((b))
80 hours
((c))
60 hours
((d))
90 hours

Show Answer

Answer: ((a))

75 hours

If a three digit number 7X6 is divisible by 11, then the value of X is:

((a))
3
((b))
2
((c))
1
((d))
4

Show Answer

Answer: ((a))

One horse-power (hp) 1 hp = _____W.s

((a))
500
((b))
646
((c))
846
((d))
746

Show Answer

Answer: ((a))

500

Identify the substance from the below having highest specific heat capacity.

((a))
Ice
((b))
Kerosene
((c))
Aluminium
((d))
Water

Show Answer

Answer: ((a))

Ice

________ are those dimensions that should not necessarily appear on the drawing.

((a))
Functional dimensions
((b))
Non-functional dimensions
((c))
Object dimensions
((d))
Auxiliary dimensions

Show Answer

Answer: ((a))

Functional dimensions

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

2 – 6 × 3 + 4 = ?

((a))
2
((b))
12
((c))
10
((d))
8

Show Answer

Answer: ((a))

The acceleration due to gravity on the Moon is (1/6) of that on the Earth. Hence, an object weighing 12 N on the Earth will weigh ________ on the Moon.

((a))
72 N
((b))
12 N
((c))
2 N
((d))
6 N

Show Answer

Answer: ((a))

72 N

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

XWV, TSR, PON, LKJ,?

((a))
IJK
((b))
DEF
((c))
HGF
((d))
LMO

Show Answer

Answer: ((a))

IJK

1 kilowatt hour (kWh) of energy = ______ joule.

((a))
3.6 × 10⁶
((b))
1.8 × 10⁴
((c))
1.8 × 10⁶
((d))
3.6 × 10⁴

Show Answer

Answer: ((a))

3.6 × 10⁶

Who is popularly known as “The Picasso of India”?

((a))
Kanu Desai
((b))
Abanindranth Tagore
((c))
ramkinkar Baij
((d))
M.F. Husain

Show Answer

Answer: ((a))

Kanu Desai

The density of an ideal gas can be doubled by halving the ______________.

((a))
Pressure
((b))
Mass
((c))
Absolute temperature
((d))
Velocity

Show Answer

Answer: ((a))

Pressure

The resistance of a uniform metallic conductor is __________.

((a))
Inversely proportional to its length
((b))
Directly proportional to its area
((c))
inversely proportional to its area.
((d))
Inversely proportional to its electrical resistivity.

Show Answer

Answer: ((a))

Inversely proportional to its length

Choose the figure that is different from the rest.

((a))
((b))
((c))
((d))

Show Answer

Answer: ((a))

Find the odd word from the given alternatives.

((a))
Earth
((b))
Mars
((c))
Sun
((d))
Venus

Show Answer

Answer: ((a))

Earth

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

1375 : 64 ∷ 13579 :?

((a))
25
((b))
5
((c))
425
((d))
125

Show Answer

Answer: ((a))

If (x - 1)² + (y - 2)² = (x – 1) (y - 2), where x and y are integers, then value of 2x + 3y is:

((a))
5
((b))
8
((c))
11
((d))
7

Show Answer

Answer: ((a))

Find the velocity (in m/s) that a car will achieve after 20 seconds if it starts and accelerates at 3.2 m/s²

((a))
72
((b))
36
((c))
108
((d))
64

Show Answer

Answer: ((a))

100

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

((a))
4R
((b))
2R
((c))
R
((d))
R/2

Show Answer

Answer: ((a))

Part B (75 questions)

101

11^th term of the series √3, √12, √27, √48, ... is

((a))
5√3
((b))
15√3
((c))
11√3
((d))
6√3

Show Answer

Answer: ((a))

5√3

102

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 9m away from the wall. The length of the ladder is:

((a))
20 m
((b))
10 m
((c))
18 m
((d))
15 m

Show Answer

Answer: ((a))

20 m

103

Electric bulbs are usually filled with chemically inactive ______ gases

((a))
Nitrogen and oxygen
((b))
Nitrogen and argon
((c))
Nitrogen and carbon monoxide
((d))
Nitrogen and carbon-dioxide

Show Answer

Answer: ((a))

Nitrogen and oxygen

104

Find the point on the X-axis which is equidistant from the point (12, 5) and (3, -4)

((a))
(8, 0)
((b))
(6, 0)
((c))
(2, 0)
((d))
(4, 0)

Show Answer

Answer: ((a))

(8, 0)

105

In a triangle ΔABC, AB = 35 cm, BC = 12 cm, and ∠B = 90° then length of AC will be

((a))
20 cm
((b))
15 cm
((c))
37 cm
((d))
25 cm

Show Answer

Answer: ((a))

20 cm

106

In a circle of radius 5 cm, AB and AC are two chords such that AB = AC = 6 cm, the length of the chord BC is

((a))
10 cm
((b))
9 cm
((c))
8 cm
((d))
9.6 cm

Show Answer

Answer: ((a))

10 cm

107

A force of 10 N acts on an object and the displacement is 7.5 m, in the direction of force. What is the work done in this case?

((a))
7500 J
((b))
750 J
((c))
75 J
((d))
0.75 J

Show Answer

Answer: ((a))

7500 J

108

Which of the following has no unit

((a))
Pressure
((b))
Density
((c))
Distance
((d))
Relative Density

Show Answer

Answer: ((a))

Pressure

109

Value of 33 - 4 × 7 × 60 ÷ 5 + 13 =

((a))
-540
((b))
290
((c))
350
((d))
-290

Show Answer

Answer: ((a))

-540

110

Force =

((a))
mass × density
((b))
mass × volume
((c))
mass × velocity
((d))
mass × acceleration

Show Answer

Answer: ((a))

mass × density

111

Value of sin 16°/cos 74°

((a))
1
((b))
60
((c))
√2
((d))
1/√2

Show Answer

Answer: ((a))

112

______ was the first to use a glass prism to obtain the spectrum of sunlight

((a))
C.V. Raman
((b))
John Dalton
((c))
Henry Cavendish
((d))
Issac Newton

Show Answer

Answer: ((a))

C.V. Raman

113

The roots of the quadratic equation 3x² + 7x + 4 = 0 are

((a))
-1, -4/3
((b))
1, 4/3
((c))
-1, 4/3
((d))
1, -4/3

Show Answer

Answer: ((a))

-1, -4/3

114

In a triangle ΔABC, AB = 39 cm, BC = 80 cm, and AC = 89 cm then the triangle will be

((a))
acute angled
((b))
impossible
((c))
obtuse angled
((d))
right angled

Show Answer

Answer: ((a))

acute angled

115

An electric heater is used on a 220V supply and it takes a current of 2A. How much power does it consume?

((a))
550 W
((b))
440 W
((c))
400 W
((d))
450 W

Show Answer

Answer: ((a))

550 W

116

A car accelerates uniformly from 5 ms^-1 to 10 ms^-1 in five seconds. Find the acceleration of the car

((a))
1 ms²
((b))
1 ms^-2
((c))
1 ms¹
((d))
1 ms^-1

Show Answer

Answer: ((a))

1 ms²

117

A ray of light meets a plane mirror at an angle of incidence 15°. What will be the deviation of the ray after reflection?

((a))
150°
((b))
120°
((c))
30°
((d))
60°

Show Answer

Answer: ((a))

150°

118

The fuel used in nuclear power plants is

((a))
U - 235
((b))
Enriched U - 235
((c))
U - 236
((d))
U - 238

Show Answer

Answer: ((a))

U - 235

119

For which value of k; the series 2, 3 + k and 6 are in A.P.?

((a))
4
((b))
3
((c))
1
((d))
2

Show Answer

Answer: ((a))

120

A current of 2 A flows through a 24 V car head light bulb for 5 mins. How much energy transfer occurs during this time?

((a))
14400 joule
((b))
10800 joule
((c))
4200 joule
((d))
43200 joule

Show Answer

Answer: ((a))

14400 joule

121

The efficiency of a heat engine can never be

((a))
10%
((b))
80%
((c))
100%
((d))
50%

Show Answer

Answer: ((a))

10%

122

Which of the following is a Pythagorean triplet?

((a))
15, 17, 7
((b))
9, 12, 17
((c))
12, 13, 8
((d))
8, 15, 17

Show Answer

Answer: ((a))

15, 17, 7

123

At what temperature is the velocity of sound in air is twice its velocity at 30°C?

((a))
1212°C
((b))
120°C
((c))
60°C
((d))
939°C

Show Answer

Answer: ((a))

1212°C

124

The points (2, 0); (4, 3) & (6, y) are collinear. find y.

((a))
5
((b))
8
((c))
-1
((d))
6

Show Answer

Answer: ((a))

125

If (x - √2) and (x + √2), are a factor of x⁴ - 7x³ + 10x² + 14x - 24.

Find other factors.

((a))
(x - √3), (x - 4)
((b))
(x - 3), (x + 4)
((c))
(x - 4), (x - 6)
((d))
(x - 3), (x - 4)

Show Answer

Answer: ((a))

(x - √3), (x - 4)

126

Which among the given alphabets will not get laterally inverted on reflection by a plane mirror?

((a))
P
((b))
N
((c))
M
((d))
L

Show Answer

Answer: ((a))

127

A ball is thrown upwards from point A, with a velocity of 15 m/s, and it comes back from its highest point B, to the ground after some time. The magnitude of the acceleration of the ball at its highest point B will be

((a))
g
((b))
g/2
((c))
-g
((d))
0

Show Answer

Answer: ((a))

128

Value of sin (45° + x) + sin (45° - x) =

((a))
√3 cos x
((b))
√3 sin x
((c))
√2 cos x
((d))
√3 cot x

Show Answer

Answer: ((a))

√3 cos x

129

The focal length of a convex lens is 'f' What should be the minimum distance between the object and the screen so that a real image is formed.

((a))
3f
((b))
2f
((c))
5f
((d))
4f

Show Answer

Answer: ((a))

130

The value of the radius of earth changes from R to a new value such that the value of acceleration due to gravity on the surface of earth increases by 2%. If there is no accompanying change in mass of earth, the new value of the radius of the earth is

((a))
(0.99) R
((b))
(1.01) R
((c))
(1.02) R
((d))
(0.98) R

Show Answer

Answer: ((a))

(0.99) R

131

A metallic sphere of radius 8.4 cm is melted and recast in to the shape of a cylinder of radius 12 cm. Find the height of the cylinder.

((a))
5.488 cm
((b))
5.478 cm
((c))
5.848 cm
((d))
5.884 cm

Show Answer

Answer: ((a))

5.488 cm

132

kgms^-1 is the SI unit of ______

((a))
Momentum
((b))
Pressure
((c))
Force
((d))
Velocity

Show Answer

Answer: ((a))

Momentum

133

The far point distance of a short sighted person is 1.5 m. Find the power of the remedial lens.

((a))
-0.33 D
((b))
0.33 D
((c))
-0.67 D
((d))
0.67 D

Show Answer

Answer: ((a))

-0.33 D

134

Value of sin 45° / cos 45°

((a))
60
((b))
1/√2
((c))
1
((d))
√2

Show Answer

Answer: ((a))

135

Which among the given options is a non-terminating decimal?

(p) $\dfrac{17}{625}$ (q) $\dfrac{35}{210}$ (r) $\dfrac{27}{2^3 \times 5^2}$ (s) $\dfrac{9}{15}$

((a))
(s)
((b))
(q)
((c))
(r)
((d))
(p)

Show Answer

Answer: ((a))

(s)

136

If the length of a tangent to a circle is 12 cm and the shortest distance of the point from which it has been drawn, from the circumference of the circle is 8 cm, then the radius of the circle will be ______

((a))
6 cm
((b))
5 cm
((c))
4 cm
((d))
8 cm

Show Answer

Answer: ((a))

6 cm

137

(-5, 5) ; (x, 10) ; (10, 6) ; (-2, 1) are the co-ordinates of the vertices of a parallelogram. Find x.

((a))
-4
((b))
-2
((c))
7
((d))
5

Show Answer

Answer: ((a))

-4

138

If 3x + 5 = 7, then x - 3 = ?

((a))
-9/7
((b))
9/7
((c))
7//9
((d))
-7/3

Show Answer

Answer: ((a))

-9/7

139

Which among the following is a rational number equivalent to 3/5

((a))
9/15
((b))
9/20
((c))
9/25
((d))
3/10

Show Answer

Answer: ((a))

9/15

140

At which one of the following angles should a projectile be launched in order to have its horizontal range to be the maximum?

((a))
90°
((b))
0°
((c))
45°
((d))
60°

Show Answer

Answer: ((a))

90°

141

What will be the remainder if (7x² + 4x + 5) is divided by (x - 3)

((a))
56
((b))
64
((c))
80
((d))
72

Show Answer

Answer: ((a))

142

Find the zeros of the polynominal -

x³ - 24x² + 191x - 504

((a))
5, 6, 8
((b))
7, 8, 9
((c))
6, 7, 8
((d))
4, 6, 8

Show Answer

Answer: ((a))

5, 6, 8

143

Which of the given statements is correct for a conservative force field

(p) The total mechanical energy is conserved.

(q) The work done around a closed path is zero.

(r) Gain in kinetic energy = Loss in potential energy.

((a))
(p) & (q)
((b))
Only (p)
((c))
(p), (q) & (r)
((d))
(q) & (r)

Show Answer

Answer: ((a))

(p) & (q)

144

How many prime numbers are there between 2² and 9²?

((a))
20
((b))
10
((c))
24
((d))
18

Show Answer

Answer: ((a))

145

The radius of a circle is 5 cm and the length of one of its chords is 6 cm, the distance of the chord from the centre will be

((a))
4 cm
((b))
5 cm
((c))
6 cm
((d))
2 cm

Show Answer

Answer: ((a))

4 cm

146

If x - 3y = 2 and x + y = 6, then the values of x and y will be

((a))
5, -1
((b))
5, 1
((c))
1, 5
((d))
-1, 5

Show Answer

Answer: ((a))

5, -1

147

According to equations of motion, with symbols having usual meaning, the velocity at time 't' for a body moving along a straight line is given by, v =

((a))
u + at
((b))
u - at
((c))
u/at
((d))
ut + 1/2 at²

Show Answer

Answer: ((a))

u + at

148

A dice is thrown, what is the probability getting prime number?

((a))
1/2
((b))
2/3
((c))
1/3
((d))
4/5

Show Answer

Answer: ((a))

1/2

149

A coin is tossed 300 times with the frequencies of two outcomes: Head - 100, Tail - 200, probability of occurrence of these events will be?

((a))
1/3, 1/3
((b))
1/2, 1/2
((c))
1/3, 2/3
((d))
1/2, 2/3

Show Answer

Answer: ((a))

1/3, 1/3

150

ABC is a right-angled triangle, right angled at A. AD is drawn perpendicular to BC from A. Then AB² is equal to

((a))
AC.CD
((b))
BC.BD
((c))
BC.CD
((d))
BD.CD

Show Answer

Answer: ((a))

AC.CD

151

A ray of light is incident on a very thin prism, the infractive index of the material of the prism is 1.6. The deviation of the ray of light is 6°. Find the angle of the prism.

((a))
5°
((b))
10°
((c))
8°
((d))
4°

Show Answer

Answer: ((a))

5°

152

Electrical energy used during a month is expressed in terms of 'units'. Here one unit means

((a))
1 W
((b))
1 kWh
((c))
1 J
((d))
1 kW

Show Answer

Answer: ((a))

1 W

153

If cos x = 5/13 then cot x will be

((a))
12/5
((b))
7/13
((c))
13/5
((d))
5/12

Show Answer

Answer: ((a))

12/5

154

Which of the following is not a vector quantity?

((a))
speed
((b))
velocity
((c))
displacement
((d))
acceleration

Show Answer

Answer: ((a))

speed

155

A bar of paramagnetic material is placed in a strong external magnetic field. Then, the field inside it is likely to

((a))
remain the same
((b))
increase
((c))
vanish completely
((d))
decrease

Show Answer

Answer: ((a))

remain the same

156

Identify the statements among the following which are true:

(p) The velocity of sound increases with altitude.

(q) The velocity of sound increases during a shower.

(r) The velocity of sound in air at a particular place does not remain the same during day and night.

((a))
Only (q)
((b))
(q) & (r)
((c))
(p) & (r)
((d))
Only (p)

Show Answer

Answer: ((a))

Only (q)

157

The angle of elevation of the sun, when the length of the shadow of a tree is 1/√3 times the height of the tree, is:

((a))
45°
((b))
60°
((c))
30°
((d))
75°

Show Answer

Answer: ((a))

45°

158

Which of the following is not a property of similar triangles

((a))
Each corresponding pair of angles is equal
((b))
The ratio of any pair of corresponding sides is the same
((c))
They have the same shape and the same size
((d))
The two angles of one triangle are equal to the two angles of the other triangle.

Show Answer

Answer: ((a))

Each corresponding pair of angles is equal

159

The series 2/3, 1, 4/3, 5/3, 2, 7/3 is in

((a))
Harmonic Progression
((b))
Geometric progression
((c))
Arithmetico-Geometric Progression
((d))
Arithmetic Progression

Show Answer

Answer: ((a))

Harmonic Progression

160

Find the radius of a circle in which a chord 24 cm long cuts off a segment 16 cm in height

((a))
13 cm
((b))
20cm
((c))
14 cm
((d))
12 cm

Show Answer

Answer: ((a))

13 cm

161

A cylotron is not used to produce high energy electrons because electrons

((a))
cannot be inserted between the Dees
((b))
have smaller mass
((c))
reach relativistic speeds very quickly
((d))
radiate sufficiently large energy

Show Answer

Answer: ((a))

cannot be inserted between the Dees

162

The critical angle of incidence in a glass slab immersed in a air is 30°. What will be the critical angle when it is immersed in a medium of refractive index √2?

((a))
75°
((b))
30°
((c))
45°
((d))
60°

Show Answer

Answer: ((a))

75°

163

An object of mass 10 kg is moving with a uniform velocity of 6 ms^-1. What is the kinetic energy possessed by the object.

((a))
180 J
((b))
18 J
((c))
360 J
((d))
1800 J

Show Answer

Answer: ((a))

180 J

164

Which of the following is a quadratic expression?

((a))
x⁴ - 3x² + 4x - 7
((b))
x² + 3x³ + 5
((c))
x² + y² - 3
((d))
x^1/2 - x² + 2

Show Answer

Answer: ((a))

x⁴ - 3x² + 4x - 7

165

For a / an _____, the decimal representation is non-terminating, non-repeating. Fill in the blank.

((a))
whole number
((b))
natural number
((c))
irrational number
((d))
rational number

Show Answer

Answer: ((a))

whole number

166

Which one of the following physical quantities is a vector quantity?

((a))
Gravitational potential energy
((b))
Electric Power
((c))
Electric current
((d))
Dipole moment

Show Answer

Answer: ((a))

Gravitational potential energy

167

A vessel is in the form of a hollow hemisphere mounted on a hollow cylinder. The diameter of the hemisphere is 28 cm and the total height of the vessel is 26 cm, find the surface area of the vessel

(Take π = 22/7)

((a))
8282 cm²
((b))
2288 cm²
((c))
2828 cm2
((d))
2882 cm2

Show Answer

Answer: ((a))

8282 cm²

168

For a cylinder of base radius (= r) and height (= h), the volume is ______ cu. units.

((a))
π r³ h
((b))
π rh
((c))
2 π rh
((d))
π r²h

Show Answer

Answer: ((a))

π r³ h

169

The melting point of Tungsten lies between ______ & ______ °C.

((a))
2000, 2500
((b))
1000, 1500
((c))
3300, 3500
((d))
2500, 3000

Show Answer

Answer: ((a))

2000, 2500

170

A cricket ball is thrown vertically upward. It takes 3 sec to reach the greatest height. Find the distance traversed by the ball during the last second of its ascent (take g = 10 ms^-2)

((a))
15 m
((b))
5 m
((c))
10 m
((d))
45 m

Show Answer

Answer: ((a))

15 m

171

Find the magnitude of the gravitational force between two protons separated by a distance of 1 Å. It is given that m_p = 5/3 × 10^-27 kg.

G = 20/3 × 10^-11 Nm²kg^-2

((a))
$\dfrac{10^{-42}}{27}N$
((b))
$\dfrac{10^{-42}}{54}N$
((c))
$\dfrac{10^{-42}}{36}N$
((d))
$\dfrac{10^{-41}}{27}N$

Show Answer

Answer: ((a))

$\dfrac{10^{-42}}{27}N$

172

The eye-lens is a

((a))
Transparent double concave lens
((b))
Transparent concavo-convex lens
((c))
Transparent double convex lens
((d))
Transparent plano-convex lens

Show Answer

Answer: ((a))

Transparent double concave lens

173

During dispersion of white light, the ______ light bends the most

((a))
blue
((b))
violet
((c))
green
((d))
red

Show Answer

Answer: ((a))

blue

174

Zeros of the equations are 3x² + 8x + 5 = 0 are

((a))
Real and equal
((b))
Real and unequal
((c))
one is real and one imaginary
((d))
Imaginary

Show Answer

Answer: ((a))

Real and equal

175

A dice is thrown, what is the probability getting number divisible by 5?

((a))
1/6
((b))
1/3
((c))
4/5
((d))
2/3

Show Answer

Answer: ((a))

1/6

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