Official Paper

RRB ALP Physics & Maths 21 Jan 2019 Official Paper (Shift 3) (Previous Year Paper)

175 questions · 150 minutes · with answers · free

Attempt as Timed Mock Test

Part A (100 questions)

The least number consisting of five digits and that is divisible by 97 is x. What is the sum of digits of x?

((a))
15
((b))
13
((c))
16
((d))
17

Show Answer

Answer: ((a))

Laho dance belongs to the state of _________ in India.

((a))
Meghalaya
((b))
Rajasthan
((c))
Orissa
((d))
Andhra Pradesh

Show Answer

Answer: ((a))

Meghalaya

Which of the following Venn diagrams best represents the relationship between women, mother, and doctor?

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

Show Answer

Answer: ((a))

A block of wood floats in water with 30% of its volume above water (density 10³ kg/m³). The density of wood (in kg/m³) is:

((a))
6 × 10³
((b))
5 × 10²
((c))
7 × 10²
((d))
3 × 10²

Show Answer

Answer: ((a))

6 × 10³

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

2/5 : 0.4 : : 1/200 : ?

((a))
0.005
((b))
0.05
((c))
0.2
((d))
0.002

Show Answer

Answer: ((a))

0.005

What is the distance between the points (-2, 4) and (4, 4)?

((a))
8 units
((b))
4 units
((c))
2 units
((d))
6 units

Show Answer

Answer: ((a))

8 units

A/An _______ is the software that manages all of a computer’s processes and allows programs and applications to run.

((a))
spam
((b))
malware
((c))
modem
((d))
operating system

Show Answer

Answer: ((a))

spam

A statement/group of statements is given followed by some conclusion. Choose the conclusion that logically follows from the given statements.

Statement: All hardworking worker in the factory have been promoted in the last five year:

((a))
Some worker who were promoted in the last five year are hardworking
((b))
There are no worker in the factory who are not hardworking
((c))
Hardworking is the only criteria for promotion
((d))
After promotion, some worker stopped working hard

Show Answer

Answer: ((a))

Some worker who were promoted in the last five year are hardworking

A sum of money invested at a compound interest amounts to 800 in 2 year and 840 in 3 year. The rate of interest is:

((a))
5%
((b))
7%
((c))
6%
((d))
4%

Show Answer

Answer: ((a))

Choose the figure that is different from the rest.

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

Show Answer

Answer: ((a))

The resulting value of 0.5 ÷ 12.5 + 0.25 × 0.05 – 0.0125 is:

((a))
0.04
((b))
0.5
((c))
0.4
((d))
0.05

Show Answer

Answer: ((a))

0.04

Bio-gas is an excellent fuel as it contains up to ______% methane.

((a))
85
((b))
70
((c))
50
((d))
80

Show Answer

Answer: ((a))

Identify the material having the lowest coefficient of linear expansion.

((a))
Brass
((b))
Iron
((c))
Copper
((d))
Lead

Show Answer

Answer: ((a))

Brass

In a certain code language, ‘+’ represents ‘×’, ‘-‘ represents ‘+’, ‘×’ represents ‘÷’ and ‘÷’ represents ‘-‘, calculate the answer of the following equation.

8 + 3 × 4 - 2 = ?

((a))
12
((b))
6
((c))
10
((d))
8

Show Answer

Answer: ((a))

Who invented the World Wide Web?

((a))
Tim Berner-Lee
((b))
Robert E. Kahn
((c))
Vint Cerf
((d))
Antonio Meucci

Show Answer

Answer: ((a))

Tim Berner-Lee

Which of the following organisations prepares a Red List of Threatened Species?

((a))
RPPO
((b))
OIE
((c))
WWF
((d))
IUCN

Show Answer

Answer: ((a))

RPPO

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

Walnut : shell : : Banana : ?

((a))
Peel
((b))
Green
((c))
Fruit
((d))
Ripe

Show Answer

Answer: ((a))

Peel

The work to be done to increase the speed of a 0.5 kg ball from 4 m/s to 8 m/s is:

((a))
8 J
((b))
12 J
((c))
16 J
((d))
4 J

Show Answer

Answer: ((a))

8 J

Where is the "title block" usually made?

((a))
on the upper right hand corner of the drawing sheet
((b))
lower right corner of the drawing sheet
((c))
on the upper left corner of the drawing sheet
((d))
center on the drawing sheet

Show Answer

Answer: ((a))

on the upper right hand corner of the drawing sheet

The construction of the “Sanchi Stupa” was commissioned by which Mauryan Emperor?

((a))
Chandragupta Maurya
((b))
Bindusara
((c))
Ashoka
((d))
Kautilya

Show Answer

Answer: ((a))

Chandragupta Maurya

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

((a))
R
((b))
R/2
((c))
R/4
((d))
R/8

Show Answer

Answer: ((a))

The weight of an object on the Earth is 150 N. Its weight on moon will be:

((a))
75 N
((b))
50 N
((c))
150 N
((d))
25 N

Show Answer

Answer: ((a))

75 N

An object starts from rest at x = 0 m and t = 0 s. It moves with a constant acceleration of 3 m/s² along x axis. What is its average velocity between time duration of 2 s and 4 s?

((a))
3 m/s
((b))
6 m/s
((c))
9 m/s
((d))
12 m/s

Show Answer

Answer: ((a))

3 m/s

The sum of a number and 16 times its reciprocal is 10. The number is:

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

Show Answer

Answer: ((a))

A boy weighing 50 kg runs up a staircase of 40 steps, each of 16 height cm, in 10 s. Calculate his power. (Take g = 10 m/s²)

((a))
480 W
((b))
320 W
((c))
120 W
((d))
80 W

Show Answer

Answer: ((a))

480 W

Pipes P and Q fill a cistern in 12 minutes when operated together, Q and R fill it in 20 minutes when operated together and P and R fill it in 15 minutes when operated together. In how many minutes can all 3 pipes fill the cistern if operated together?

((a))
10 minutes
((b))
2 minutes
((c))
4 minutes
((d))
3 minutes

Show Answer

Answer: ((a))

10 minutes

Two resistors, each of 20 ohms, are connected in parallel and this combination is connected across a 40 V supply voltage.

Find the resistance in the circuit.

((a))
40 ohm
((b))
10 ohm
((c))
25 ohm
((d))
20 ohm

Show Answer

Answer: ((a))

40 ohm

If a person goes from his house to office walking at 80% of his usual speed, then he is late by 18 minutes to reach the office. What is the usual time taken by him to cover that same distance with his usual speed?

((a))
78 minutes
((b))
72 minutes
((c))
75 minutes
((d))
70 minutes

Show Answer

Answer: ((a))

78 minutes

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

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

Show Answer

Answer: ((a))

In the first angle projection:

((a))
Object lies between observer and plane of projection
((b))
Object lies in the third quadrant
((c))
The plane of the projection lies between the object and the observer
((d))
Object lies in the fourth quadrant

Show Answer

Answer: ((a))

Object lies between observer and plane of projection

At what price should a computer be sold so as to get a profit of 25% when its cost price is Rs. 18000?

((a))
Rs. 20500
((b))
Rs. 21000
((c))
Rs. 23000
((d))
Rs. 22500

Show Answer

Answer: ((a))

Rs. 20500

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

TTTTTTO, TTTTTOT, TTTTOTT, TTTOTTT

((a))
TTTOTTTT
((b))
TTTOTTTO
((c))
TTOTTT
((d))
TTOTTTT

Show Answer

Answer: ((a))

TTTOTTTT

What is the power dissipated in a 5-ohm resistor carrying 2 A current?

((a))
10 W
((b))
0.6 W
((c))
2.5 W
((d))
20 W

Show Answer

Answer: ((a))

10 W

M, N, O and P are sitting around a round table? M does not want to sit next to P. N is to the right of P. Which statement of the below is false?

((a))
O is to the right of P
((b))
M is facing P
((c))
M is to the right of N
((d))
O is facing N

Show Answer

Answer: ((a))

O is to the right of P

A black surface absorbs ________ as compared to a white surface, under identical conditions.

((a))
same heat
((b))
negligible heat
((c))
more heat
((d))
lesser heat

Show Answer

Answer: ((a))

same heat

The thanksgiving festival of Pongal is primarily celebrated in which state of India?

((a))
Tamilnadu
((b))
Rajasthan
((c))
Maharashtra
((d))
Uttar Pradesh

Show Answer

Answer: ((a))

Tamilnadu

The number 800 is divided in 2 parts such that one part is 9/7 times the other. The larger part is:

((a))
480
((b))
500
((c))
450
((d))
510

Show Answer

Answer: ((a))

480

The idea of a Constituent Assembly was given by:

((a))
Dr. Rajendra Prasad
((b))
Maulana Abul Kalam Azad
((c))
M.N Roy
((d))
B.R. Ambedkar

Show Answer

Answer: ((a))

Dr. Rajendra Prasad

A jogger jogs 1 km East, then turn North and jogs 4 km, then turns West and jogs 6 km, then turns to his left and jogs 4 km. Where is he now with reference to his starting position?

((a))
5 km West
((b))
7 km West
((c))
7 km East
((d))
5 km East

Show Answer

Answer: ((a))

5 km West

What is the HCF of 275 and 308?

((a))
17
((b))
19
((c))
15
((d))
11

Show Answer

Answer: ((a))

What will be the distance covered by a bus moving with a speed of 72 km/h in 5 seconds?

((a))
50 m
((b))
200 m
((c))
100 m
((d))
400 m

Show Answer

Answer: ((a))

50 m

Two resistors, one of 10 Ω and the other of 15 Ω, are connected in parallel. This combination is connected in series with a 24 Ω resistor and a 12 V battery. The current in the 15 Ω resistor is:

((a))
0.40 A
((b))
0.24 A
((c))
0.12 A
((d))
0.16 A

Show Answer

Answer: ((a))

0.40 A

Which of the following quantities does not have dimensions?

((a))
Frequency
((b))
Volume
((c))
Relative permeability
((d))
Force

Show Answer

Answer: ((a))

Frequency

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.

Statement 1: All stones are cyclones

Statement 2: All cyclones are tornadoes

Conclusion I: Some tornadoes are stones

Conclusion II: Some cyclones are stones

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

Show Answer

Answer: ((a))

Only conclusion II follows

Identify the metal having the lowest thermal conductivity.

((a))
Copper
((b))
Mercury
((c))
Aluminium
((d))
Silver

Show Answer

Answer: ((a))

Copper

Choose the figure that is different from the rest.

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

Show Answer

Answer: ((a))

Two cows G and H are grazing in a field. They start from the same point. G moves 1.5 km South, then turns East and moves 2.5 km, then turns to its right and moves 3.5 km. Meanwhile H has moved 2.5 km East. Where is H with respect to G.

((a))
H is 2 km South of G
((b))
H is 5 km North of G
((c))
H is 5 km South of G
((d))
H is 2 km North of G

Show Answer

Answer: ((a))

H is 2 km South of G

Identify the material, having high thermal conductivity.

((a))
Wood
((b))
Water
((c))
Ice
((d))
Insulating brick

Show Answer

Answer: ((a))

Wood

In a certain code language, if STUDIO is coded as QRSBGM, then how will RAW be coded in that language?

((a))
PYU
((b))
WXR
((c))
UKN
((d))
TGB

Show Answer

Answer: ((a))

PYU

X jogs a total of 7.5 km in a day. He jogged 25/6 km in the morning. How much did he jog in the Evening?

((a))
5/3 Km
((b))
8/3 Km
((c))
11/3 Km
((d))
10/3 Km

Show Answer

Answer: ((a))

5/3 Km

The sum of the present ages of a father and a son is 45 year. 5 year ago, the ratio of their ages was 6 : 1. Find the current age of the father.

((a))
40 year
((b))
30 year
((c))
25 year
((d))
35 year

Show Answer

Answer: ((a))

40 year

In the following figure, square represents Asians, triangle represents writers, circle represents fathers and rectangle represents actors. Which set of letters represents actors who are writers?

((a))
GD
((b))
GF
((c))
CEG
((d))
HGF

Show Answer

Answer: ((a))

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

Statement 1: All bamboo are tall.

Statement 2: All tall are grass.

Conclusion I: Some grass are bamboo.

Conclusion II: Some tall are bamboo.

Conclusion III: Some grass are tall.

((a))
All conclusions I, II and III follow
((b))
Only conclusions I and III follow
((c))
Only conclusions II and III follow
((d))
Only conclusions I and II follow

Show Answer

Answer: ((a))

All conclusions I, II and III follow

Identify the insulator from the below having high resistivity.

((a))
Glass
((b))
Diamond
((c))
Hard rubber
((d))
Dry paper

Show Answer

Answer: ((a))

Glass

An object is accelerating at 5 m/s² from its rest position. The velocity of this object after 5 s is:

((a))
15 m/s
((b))
20 m/s
((c))
5 m/s
((d))
25 m/s

Show Answer

Answer: ((a))

15 m/s

Two trains start moving towards each other when they are 2000 meter apart. First train travels at the speed of 20 m/s and the other one at 30 m/s. After how many seconds do they meet?

((a))
45
((b))
40
((c))
35
((d))
50

Show Answer

Answer: ((a))

An object travels distance of first 30 m in 5 s and the next distance of 30 m in 3 s. The average speed of the object is:

((a))
6.5 m/s
((b))
9.0 m/s
((c))
4.5 m/s
((d))
7.5 m/s

Show Answer

Answer: ((a))

6.5 m/s

What is the digit that will come at the unit’s place in the result of (423)⁴²³ × (1237)²⁸?

((a))
9
((b))
7
((c))
1
((d))
3

Show Answer

Answer: ((a))

Which type of pencil has the hardest graphite lead?

((a))
3H
((b))
2H
((c))
9H
((d))
HB

Show Answer

Answer: ((a))

In a Class 2 lever, effort and load move in the:

((a))
same direction
((b))
the movement depends on the load
((c))
opposite direction
((d))
perpendicular direction

Show Answer

Answer: ((a))

same direction

How much heat should be transferred to the 100 g of an edible oil to raise its temperature by 20°C? (Specific heat of oil 1965 Jkg⁻¹K⁻¹)

((a))
4.31 kJ
((b))
2.70 kJ
((c))
1.32 kJ
((d))
3.93 kJ

Show Answer

Answer: ((a))

4.31 kJ

In a certain code language, 512 means ‘steel makes tower’, 175 means ‘brick makes tower’, and 327 means ‘brick and steel’. Find the code for ‘and’.

((a))
3
((b))
1
((c))
2
((d))
7

Show Answer

Answer: ((a))

Find the odd word from the given alternatives

((a))
Carom board
((b))
Wheel
((c))
Coin
((d))
Hula hoop

Show Answer

Answer: ((a))

Carom board

A ‘compass’ is used to draw:

((a))
Circle
((b))
Rectangle
((c))
Triangle
((d))
Straight line

Show Answer

Answer: ((a))

Circle

If G + H means G is daughter of H; G - H means G is father-in-law of H; and G * H means G is husband of H; then which of the following shows that O is the sister L?

((a))
O * N - M + L
((b))
O - N * M + L
((c))
O + M - N * L
((d))
O - N + M * L

Show Answer

Answer: ((a))

O * N - M + L

A sum of Rs. 10000 was deposited in a bank that offer 20% annual compound interest. What will the amount be in the bank after 2 year?

((a))
Rs. 12000
((b))
Rs. 8000
((c))
Rs. 14400
((d))
Rs. 13600

Show Answer

Answer: ((a))

Rs. 12000

Pipes A and pipe B can fill a tank at rate of 30 m³/hr and 40 m³/hr respectively. Together they fill the tank in 4 hours. Find the volume of the tank.

((a))
180 m³
((b))
280 m³
((c))
360 m³
((d))
200 m³

Show Answer

Answer: ((a))

180 m³

What is the side of a cube if the total surface area is 96 sq. cm?

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

Show Answer

Answer: ((a))

3 cm

Read the question below followed by two statements. Study them and decide which statement(s) is/are sufficient to answer the question.

Question: What was the revenue of the zoo on a certain day?

Statements:

I) 120 person visited the zoo on that certain day.

II) A discount of 25% on ticket price was offered on that certain day.

((a))
Neither statement I nor 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))
Either statement I or II is sufficient

Show Answer

Answer: ((a))

Neither statement I nor II is sufficient

A sheet of styrofoam of thickness 2 cm and area 0.1 m² has a temperature difference of 30°C between its inner and outer surfaces. Considering thermal conductivity as 0.01 J/s m K, the rate of heat flow through the sheet is:

((a))
3.0 J/s
((b))
2.0 J/s
((c))
1.0 J/s
((d))
1.5 J/s

Show Answer

Answer: ((a))

3.0 J/s

A ball of 200 g is thrown vertically upward with a speed of 20 m/s. The momentum of the ball at the highest point of its path is (take g = 10 m/s²):

((a))
200 kgm/s
((b))
100 kgm/s
((c))
40 kgm/s
((d))
0

Show Answer

Answer: ((a))

200 kgm/s

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

Statement: College students should work during summer holidays to improve their chances of getting a job.

Assumption I: Not all college students want a job.

Assumption II: There are enough summer jobs for most college students.

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

Show Answer

Answer: ((a))

Both I and II are implicit

What will be A’s share of profit if the total profit is Rupees 1000 and is to be divided amongst A, B and C in the ratio 3 : 2 : 5?

((a))
Rs. 250
((b))
Rs. 300
((c))
Rs. 500
((d))
Rs. 200

Show Answer

Answer: ((a))

Rs. 250

If we compare the effort arm length with the load arm length in a class 1 lever, ________

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

Show Answer

Answer: ((a))

effort arm length is always < load arm length

Increasing the pressure on an object ______ the volume of the object and therefore ______ its density.

((a))
increases, increases
((b))
increases, decreases
((c))
decreases, increases
((d))
decreases, decreases

Show Answer

Answer: ((a))

increases, increases

If we compare the effort arm length with the load arm length in a Class 2 lever, _______.

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

A source of voltage V maintains a current I in a circuit. The power (P) input to the circuit by the source is given by:

((a))
P = V I
((b))
P = V/I
((c))
P = I/V
((d))
P = 1/(V I)

Show Answer

Answer: ((a))

P = V I

If we double the length of a copper wire keeping the cross-sectional area constant, its resistance increases by _______ times.

((a))
Four
((b))
One
((c))
Three
((d))
Two

Show Answer

Answer: ((a))

Four

Which of these is NOT a novel written by Premchand?

((a))
Godaan
((b))
Gaban
((c))
Nirmala
((d))
Deepshikha

Show Answer

Answer: ((a))

Godaan

The Celsius temperature (t_C) and the Fahrenheit temperature (t_F) are related as:

((a))
t_F = (5/9) t_C + 32
((b))
t_F = (9/5) t_C
((c))
t_F = (9/5) t_C + 32
((d))
t_F = (5/9) t_C

Show Answer

Answer: ((a))

t_F = (5/9) t_C + 32

What is the square root of 0.000225?

((a))
0.0125
((b))
0.0015
((c))
0.005
((d))
0.015

Show Answer

Answer: ((a))

0.0125

ΔDEF is similar to ΔPQR. If the ratio of semi-perimeter of ΔDEF and ΔPQR is 4 : 5 and if PQ = 15cm, then the length of DE is:

((a))
12 cm
((b))
10 cm
((c))
20 cm
((d))
8 cm

Show Answer

Answer: ((a))

12 cm

Which country did India beat to win the Under19 Cricket Asia Cup 2018?

((a))
Sri Lanka
((b))
Afghanistan
((c))
Pakistan
((d))
Bangladesh

Show Answer

Answer: ((a))

Sri Lanka

The view of an object produced on a vertical plane is referred to as:

((a))
Right hand side view
((b))
Top view
((c))
Front view
((d))
Left hand side view

Show Answer

Answer: ((a))

Right hand side view

Who was appointed as the Chief Justice of India on 03.10.2018?

((a))
Mr. N.V. Ramana
((b))
Mr. Ranjan Gogoi
((c))
Mr. Kurian Joseph
((d))
Mr. Arjan Kumar Sikri

Show Answer

Answer: ((a))

Mr. N.V. Ramana

The specific heat capacity of a substance is defined by:

((a))
m(ΔQ/ΔT)
((b))
m(ΔT/ΔQ)
((c))
(1/m)(ΔQ/ΔT)
((d))
(1/m)(ΔT/ΔQ)

Show Answer

Answer: ((a))

m(ΔQ/ΔT)

10% of 1000% of 100 = ?

((a))
110
((b))
100
((c))
102
((d))
105

Show Answer

Answer: ((a))

110

A pair of plier and scissor are together considered as a _______ Class 1 lever.

((a))
triple
((b))
single
((c))
double
((d))
simple

Show Answer

Answer: ((a))

triple

A component that adds to a software program’s functionality is called as ______

((a))
Plug-in
((b))
Processor
((c))
Modem
((d))
Server

Show Answer

Answer: ((a))

Plug-in

If C% D means C is the wife of D; C & D means C is the father of D; and If C $D means C is the daughter of D, then what would X$ Y % W & Z mean if W has only one daughter?

((a))
X is the son of Z
((b))
Z is the sister of X
((c))
Z is the sister of the mother of X
((d))
X is the sister of Z

Show Answer

Answer: ((a))

X is the son of Z

Our electricity bills carry the energy consumption, expressed in units of _______.

((a))
KVA
((b))
kW
((c))
kWh
((d))
KJ

Show Answer

Answer: ((a))

KVA

The length and breadth of a rectangle is 6 cms and 8 cms respectively. Then what will be the area of a square whose side is equal to the length of the diagonal of this rectangle.

((a))
100 cm²
((b))
92 cm²
((c))
96 cm²
((d))
196 cm²

Show Answer

Answer: ((a))

100 cm²

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

7.4, 8.7, 10.0, 11.3, ?, 13.9

((a))
11.9
((b))
12.3
((c))
11.7
((d))
12.6

Show Answer

Answer: ((a))

11.9

The median of 2, 9, 11, 7, 3, 4, 8, 5, 3, 6 is:

((a))
3.5
((b))
5
((c))
5.5
((d))
4

Show Answer

Answer: ((a))

3.5

An article was marked for Rs. 1000. Had a discount of 16% was offered, a profit of 5% would have been made. What is the cost price of the article?

((a))
Rs. 750
((b))
Rs. 800
((c))
Rs. 880
((d))
Rs. 840

Show Answer

Answer: ((a))

Rs. 750

Find the odd set of letter from the given alternatives.

((a))
JLN
((b))
MNO
((c))
RTV
((d))
CEG

Show Answer

Answer: ((a))

JLN

Standing up and supporting the lower back with hands, then gently arching back and holding this posture for some time is called as:

((a))
Finger fan
((b))
Back arching
((c))
Wrist stretch
((d))
Pectoral stretch

Show Answer

Answer: ((a))

Finger fan

Which two signs should be interchanged to correct the given equation?

15 ÷ 3 + 2 × 10 - 6 = 14

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

Show Answer

Answer: ((a))

÷ and -

Which of these is NOT a type of string musical instrument?

((a))
Bass
((b))
Violin
((c))
Tuba
((d))
Cello

Show Answer

Answer: ((a))

Bass

100

What was the day of the week on January 26, 1989?

((a))
Tuesday
((b))
Thursday
((c))
Sunday
((d))
Monday

Show Answer

Answer: ((a))

Tuesday

Part B (75 questions)

101

For a pair of similar triangles shown in the figure, the ratio of the corresponding sides of the two triangles is √2 : 1. If the area of BAC is 1000 cm², then what is the area of RAQ in sq. cm?

((a))
500
((b))
4
((c))
100
((d))
5

Show Answer

Answer: ((a))

500

102

In a right-angled triangle, right angled at A, the angle formed B is 45^o. If the length of side AB is 5m, then what is the length of the side AC?

((a))
2.5 m
((b))
3 m
((c))
5 m
((d))
5.5 m

Show Answer

Answer: ((a))

2.5 m

103

If a force of 250 N acts on a body at rest, the momentum required is 125 kg m/s. The time for which the force acts on the body is

((a))
0.5 s
((b))
0.2 s
((c))
0.1 s
((d))
0.3 s

Show Answer

Answer: ((a))

0.5 s

104

Two isolated open pipes, filled with a gas, of lengths 20 cm and 20.1 cm produces 5 beats/s when sounded together in their fundamental modes. The velocity of sound in the gas is:

((a))
402 m/s
((b))
330 m/s
((c))
360 m/s
((d))
420 m/s

Show Answer

Answer: ((a))

402 m/s

105

A crown glass prism with refracting angle 6^o is to be achromatized for red and blue light with a flint glass prism. The angle of the flint glass should be (Given μ_r= 1.513, μ_b= 1.523 for crown glass and μ_r= 1.645, μ_b= 1.665 for flint glass)

((a))
1.5^o
((b))
2.4^o
((c))
3^o
((d))
4.5^o

Show Answer

Answer: ((a))

1.5^o

106

Tungsten is used for making bulb filaments of incandescent lamps because:

((a))
Tungsten has the highest boiling point.
((b))
Tungsten takes a long time to reach its melting point
((c))
Tungsten becomes extremely bright when it glows for long hours.
((d))
Tungsten has the highest melting point and does not melt even while it is glowing for long hours .

Show Answer

Answer: ((a))

Tungsten has the highest boiling point.

107

A freely falling body takes 4 s to reach the ground. One second after release, the percentage of its potential energy, that is still retained is

((a))
25%
((b))
37.5%
((c))
93.75%
((d))
6.25%

Show Answer

Answer: ((a))

25%

108

What would be the common difference in the following A.P. series?

3, 3 + 3√3, 3 + 6√3, 3 + 9√3, 3 + 12√3 ….

((a))
3√3
((b))
3 - 3√3
((c))
3 + 3√3
((d))
3 + √3

Show Answer

Answer: ((a))

3√3

109

In a triangle the length of the sides AB and BC are both 1.5 m. What is the length of AC, if the angle formed at B is 60^o?

((a))
1.25 m
((b))
1.5 m
((c))
2.25 m
((d))
1 m

Show Answer

Answer: ((a))

1.25 m

110

In a triangle PQR, the length of the side PQ is 4m, the angle of R is 60^o and the angle at Q is 30^o, what is the length of side PR?

((a))
4√2 m
((b))
4 / √3 m
((c))
4√3 m
((d))
√3 / 2 m

Show Answer

Answer: ((a))

4√2 m

111

The S.I. Unit of Resistivity is:

((a))
ohm
((b))
ohm/m
((c))
V/m
((d))
ohm-m

Show Answer

Answer: ((a))

ohm

112

1 ampere = _____

((a))
1 coulomb × 1 second
((b))
1 volt / 1 second
((c))
1 second / 1 coulomb
((d))
1 coulomb / 1 second

Show Answer

Answer: ((a))

1 coulomb × 1 second

113

In a right-angled triangle ABC, the angle A is 90^o, What the value of sec B, if BC is 5 cm and AB is 3 cm.

((a))
1.5
((b))
1.07
((c))
1.67
((d))
1.73

Show Answer

Answer: ((a))

1.5

114

The length of a board is 12 cm and its breadth is 3 cm. The board needs to be taped around its sides covering all four sides. How long the tape should be?

((a))
15 cm
((b))
3 cm
((c))
12 cm
((d))
30 cm

Show Answer

Answer: ((a))

15 cm

115

Form the quadratic equation whose roots are 3 and 4

((a))
x²+ 3x + 4 = 0
((b))
x² - 3x + 4 = 0
((c))
2x² - 7x - 12 = 0
((d))
x² - 7x + 12 = 0

Show Answer

Answer: ((a))

x²+ 3x + 4 = 0

116

A bullet of mass 20 gm is fired from a rifle of mass 8 kg with a velocity of 100 m/s. The velocity of recoil of the rifle is:

((a))
250 m/s
((b))
2.5 m/s
((c))
25 m/s
((d))
0.25 m/s

Show Answer

Answer: ((a))

250 m/s

117

PQR is a triangle X, Y, Z are the mid points of PQ, QR and RP respectively, similarly A, B, C are the mid points of the sides XY, YZ, ZX respectively. What is the ratio of areas of ΔXYZ to ΔABC?

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

Show Answer

Answer: ((a))

4 : 1

118

A body is thrown with a velocity 20 m/s at an angle of 30º with the horizontal. The time taken to reach the maximum height is:

(Take g = 10 m/s²)

((a))
2 s
((b))
5 s
((c))
4 s
((d))
1 s

Show Answer

Answer: ((a))

2 s

119

When a current-carrying conductor is kept in a magnetic field, it experiences a force. The direction of this force depends on which of the following?

(a) The direction of current through the conductor

(b) The direction of the magnetic field in which the conductor is placed

(d) Neither (a) nor (b)

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

Show Answer

Answer: ((a))

(b)

120

Let y = x / 6 and 4x + 12y = 48. What is the value of x and y?

((a))
x = 3 and $y = \frac{2}{3}$
((b))
x = 3 and $y = \frac{4}{3}$
((c))
x = 9 and y = 3
((d))
x = 8 and $y = 1\frac{1}{3}$

Show Answer

Answer: ((a))

x = 3 and $y = \frac{2}{3}$

121

Which of the following can be produced during nuclear fission and nuclear fusion?

((a))
Electron
((b))
Proton
((c))
Neutron
((d))
Deuteron

Show Answer

Answer: ((a))

Electron

122

Sum of first 25 terms in the following series would be

7, 11, 15, 19, 23, …

((a))
1325
((b))
1258
((c))
1375
((d))
1296

Show Answer

Answer: ((a))

1325

123

A stone placed at the bottom, of water tank appears raised by 80 cm. If refractive index of water is 4/3. The actual depth of water in tank.

((a))
480 cm
((b))
320 cm
((c))
400 cm
((d))
200 cm

Show Answer

Answer: ((a))

480 cm

124

In the following figure PY and RX are the medians of the right angled triangle PQR, if PR = 8 cm, then PY² + RX² = ?

((a))
128 cm
((b))
96 cm
((c))
64 cm
((d))
80 cm

Show Answer

Answer: ((a))

128 cm

125

Two lenses of power -15 D and +5 D are placed in contact with each other. The focal length of the combination is:

((a))
-10 cm
((b))
+10 cm
((c))
-20 cm
((d))
+20 cm

Show Answer

Answer: ((a))

-10 cm

126

Which of the following are characteristics of a good fuel?

((a))
Fewer residues after burning
((b))
Less smoke
((c))
High calorific value
((d))
Low density

Show Answer

Answer: ((a))

Fewer residues after burning

127

Which of the following is not a source of magnetic field?

((a))
Electric current
((b))
Static charges
((c))
A rotating magnet
((d))
A galvanometer carrying current

Show Answer

Answer: ((a))

Electric current

128

Divide (-12x + 48) / (x - 4), when x ≠ 4

((a))
-12
((b))
(x - 4)
((c))
12(x - 4)
((d))
12(x) / (x - 4)

Show Answer

Answer: ((a))

-12

129

A ray of light incident on a transparent block at an angle of incidence 60^o. If μ of block is √3 then the angle of deviation of the refracted ray is:

((a))
30^o
((b))
25^o
((c))
15^o
((d))
45^o

Show Answer

Answer: ((a))

30^o

130

A shot is fired at 30^o with the vertical from a point on the ground with kinetic energy K. If air resistance is ignored, the kinetic energy at the top of the trajectory is:

((a))
K/4
((b))
K
((c))
K/2
((d))
3K/4

Show Answer

Answer: ((a))

K/4

131

If two hemispheres of curved surface area 8π cm² each are joined together to form a sphere. What is the total surface area of the sphere?

((a))
4π cm²
((b))
32π cm²
((c))
8π cm²
((d))
16π cm²

Show Answer

Answer: ((a))

4π cm²

132

A spacecraft of mass 2000 kg moving with a velocity of 600 m/s suddenly explodes into two pieces. One piece of mass 500 kg is left stationary. The velocity of the other part must be (in m/s)

((a))
1000
((b))
600
((c))
800
((d))
1500

Show Answer

Answer: ((a))

1000

133

Two plane mirrors are at 45^oto each other. If an object is placed between them, then the number of images will be

((a))
5
((b))
8
((c))
7
((d))
9

Show Answer

Answer: ((a))

134

Reduce to linear form: (15x + 3) / 6x = 2 / 3

((a))
11x + 3 = 0
((b))
11x - 3 = 0
((c))
11x - 2 = 0
((d))
33x + 4 = 0

Show Answer

Answer: ((a))

11x + 3 = 0

135

When objects at different distances are seen distinctly by the eye, which of the following remains constant:

((a))
The object distance from the eye lens
((b))
The focal length of the eye lens
((c))
The image distance from the eye lens
((d))
The radius of curvature of the eye lens

Show Answer

Answer: ((a))

The object distance from the eye lens

136

A ladder resting on the wall is grounded 3 metres away from the base of the wall. If the length of the ladder is 5m, what is the height at which it is resting on the wall?

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

Show Answer

Answer: ((a))

2 m

137

When the momentum of a body is doubled, by keeping its mass unchanged, the kinetic energy is :

((a))
halved
((b))
becomes three times of the original
((c))
becomes four times of the original
((d))
doubled

Show Answer

Answer: ((a))

halved

138

A car moving with a speed of 50 km/hr can be stopped by brakes after travelling at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is :

((a))
18 m
((b))
12 m
((c))
24 m
((d))
6 m

Show Answer

Answer: ((a))

18 m

139

Roots of the following equation are 6x² + 4x - 2 = 0

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

Show Answer

Answer: ((a))

1, -1 / 3

140

Find the mean of the following numbers

0.125, 0.225, 0.182, 0.156, 0.196, 0.220

((a))
0.182
((b))
0.192
((c))
0.189
((d))
0.184

Show Answer

Answer: ((a))

0.182

141

If, $x=a+bt+ct^2$

and x is in meters and t is in seconds, then the unit of 'a' is:

((a))
ms^-1
((b))
ms^-2
((c))
m
((d))
m²s

Show Answer

Answer: ((a))

ms^-1

142

The dimensional formula of speed

((a))
[MLT^-1]
((b))
[M⁰LT^-1]
((c))
[ML⁰T^-1]
((d))
[MLT^-2]

Show Answer

Answer: ((a))

[MLT^-1]

143

Evaluate (0.2 × 0.36 + 0.8 × 0.36) / 0.18

((a))
0.3
((b))
2
((c))
0.2
((d))
1.28

Show Answer

Answer: ((a))

0.3

144

A dice is rolled, what is the probability of even numbered outcomes:

((a))
½
((b))
1 / 5
((c))
1 / 3
((d))
2 / 3

Show Answer

Answer: ((a))

145

Let 'K' be the area swept by the line joining the earth and the sun during Feb 2012. The area swept by the same line during the first week of that month is

((a))
7K/30
((b))
K
((c))
K/4
((d))
7K/29

Show Answer

Answer: ((a))

7K/30

146

Which of the following is an irrational number?

((a))
2
((b))
7i
((c))
√3 - 3
((d))
2 / 3

Show Answer

Answer: ((a))

147

Frame the quadratic equation one of whose roots is √3 - 1

((a))
x² - 2x + 2 = 0
((b))
x²+ 2x + 2 = 0
((c))
x² - 2x - 2 = 0
((d))
x² + 2x - 2 = 0

Show Answer

Answer: ((a))

x² - 2x + 2 = 0

148

Which one of the following is not a characteristic of sound wave?

((a))
Amplitude
((b))
Wave length
((c))
Frequency
((d))
Brightness

Show Answer

Answer: ((a))

Amplitude

149

Nidhi looks at the base of a tree from her balcony. This formed a right-angled triangle with an angle of depression of 30^°. If the base of tree is 10 m away from the base of the wall of the house, what is the distance between her eye and the base of the tree?

((a))
20√3 m
((b))
20 / √3 m
((c))
2 / √3 m
((d))
√3 / 2 m

Show Answer

Answer: ((a))

20√3 m

150

Triangles PQR and ABC are similar triangles.

Triangle ABC have the following sides

AB = 36 cm

AC = 20 cm

CB = 48 cm

Triangle PQR have the following sides:

PQ = 9 cm

PR = 5 cm

What is the length of side RQ = ?

((a))
30 cm
((b))
3 cm
((c))
15 cm
((d))
12 cm

Show Answer

Answer: ((a))

30 cm

151

What is the radius of a circle where the central angle of 90^o intercepts an arc of length 13 cm?

((a))
4 / π cm
((b))
12 / π cm
((c))
26π cm
((d))
26 / π cm

Show Answer

Answer: ((a))

4 / π cm

152

Which of the following is a rational number?

((a))
4 / 15
((b))
√5
((c))
4√7
((d))
π / √3

Show Answer

Answer: ((a))

4 / 15

153

If A(15, 14), B(30, 15), C(27, 5) and D(10, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD (in terms of sq. units)

((a))
65
((b))
150
((c))
85
((d))
175

Show Answer

Answer: ((a))

154

Light year is the unit of

((a))
length
((b))
time
((c))
mass
((d))
area

Show Answer

Answer: ((a))

length

155

What is the angle at B in the triangle ABC, if the angle made at K is 30^o and the triangles shown in the figure are similar?

((a))
30^o
((b))
60^o
((c))
70^o
((d))
20^o

Show Answer

Answer: ((a))

30^o

156

Circular areas of same size have been marked to drill holes in a road. If the radius of one of the holes to be drilled is 21cm, and there are 10 holes to be drilled along the road, what is the total area in sq.cm of all the 10 circles marked to be drilled? (π = 22 / 7)

((a))
13860
((b))
1836
((c))
1386
((d))
11836

Show Answer

Answer: ((a))

13860

157

What would be the seventh term in the following series:

2, 11, 20, 29, 38, ….

((a))
65
((b))
54
((c))
56
((d))
67

Show Answer

Answer: ((a))

158

A farmer is marking his field to sow seeds if he marks a rectangular area of his field in the ratio of length : width 3 : 1.

Write a expression that will give the total area.

((a))
3
((b))
3x² - 3
((c))
3x²
((d))
3x² + x

Show Answer

Answer: ((a))

159

Find the zeros of the function f(x) = (x - 3)(x- 2).

((a))
3, 2
((b))
0, -2
((c))
-3, -2
((d))
0

Show Answer

Answer: ((a))

3, 2

160

1 kWh = _____ J

((a))
3.6 × 10⁴ J
((b))
3.6 × 10⁵ J
((c))
3.6 × 10⁶ J
((d))
3.6 × 10³ J

Show Answer

Answer: ((a))

3.6 × 10⁴ J

161

The minute hand of a watch is 2 cm long. How far does its tip move in 10 minutes?

((a))
π / 3 cm
((b))
π / 4 cm
((c))
2π / 3 cm
((d))
4 / π cm

Show Answer

Answer: ((a))

π / 3 cm

162

The near point of a person with hypermetropia is 50 cm from the eye. The power of the lens required to enable the person to read clearly a book held at 25 cm from the eye is

((a))
2 D
((b))
8 D
((c))
1 D
((d))
4 D

Show Answer

Answer: ((a))

2 D

163

A farmer wants to fence his rectangular field of length 200 m and area 3000 m². If the cost of fencing per metre is 5 rupees, what is the total cost of fencing in rupees?

((a))
1000
((b))
500
((c))
2500
((d))
2150

Show Answer

Answer: ((a))

1000

164

Five cards-the ten, jack, queen, king and ace of hearts, are well-shuffled with their face downwards. One card is then picked up at random. What is the probability that the card is the Ace?

((a))
1 / 5
((b))
¼
((c))
4 / 5
((d))
2 / 5

Show Answer

Answer: ((a))

1 / 5

165

24 × (15 + 45) ÷ 6 + (45 + 5) - 5 = ?

((a))
285
((b))
240
((c))
275
((d))
280

Show Answer

Answer: ((a))

285

166

If the points P(15, 15), Q(50, 25) and R(β, 35) are collinear then what would be β.

((a))
24
((b))
-25
((c))
85
((d))
-82

Show Answer

Answer: ((a))

167

S.I. Unit of universal gravitational constant is

((a))
Nkg²/m²
((b))
kg²/Nm²
((c))
Nm²/kg²
((d))
N²m²/kg²

Show Answer

Answer: ((a))

Nkg²/m²

168

A 10 N force is applied on a body which produces in it an acceleration of 2 m/s². The mass of the body is:

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

Show Answer

Answer: ((a))

5 kg

169

When white light passes through a hollow prism, then

((a))
there is both dispersion and deviation
((b))
deviation but no dispersion
((c))
there is no dispersion and no deviation
((d))
dispersion but no deviation

Show Answer

Answer: ((a))

there is both dispersion and deviation

170

A planet moves around the sun in elliptical orbit. When earth is closest from the sun, it is at a distance γ having a speed v. When it is at a distance 4γ from the sun its speed is :

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

Show Answer

Answer: ((a))

v/4

171

What would be the point which divides the line segment connecting the points P(12, 16), Q(8, 13) in the ratio 2 : 7 internally

((a))
(64 / 9, 134 / 9)
((b))
(64 / 7, 134 / 7)
((c))
(100 / 7, 138 / 7)
((d))
(100 / 9, 138 / 9)

Show Answer

Answer: ((a))

(64 / 9, 134 / 9)

172

A particle starts moving from rest under uniform acceleration. It travels a distance 'x' in the first two seconds and a distance 'y' in the next two seconds. If y = nx, then n =

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

Show Answer

Answer: ((a))

173

If v = image distance, u = object distance then linear magnification, m =

((a))
$m = \frac{v}{u}$
((b))
$m = -\frac{v^2}{u}$
((c))
$m = -\frac{v}{u}$
((d))
m = $m = -\frac{v}{u^2}$

Show Answer

Answer: ((a))

$m = \frac{v}{u}$

174

PQRS is a rhombus that what would be PQ² + QR² + RS² + SP² =?

((a))
2(PR² + QS²)
((b))
(PR² + QS²)
((c))
2PQ.RS
((d))
4(PR² + QS²)

Show Answer

Answer: ((a))

2(PR² + QS²)

175

Find the least value of * for which the number 82178342*52 is divisible by 11.

((a))
0
((b))
2
((c))
5
((d))
7

Show Answer

Answer: ((a))

Attempt this paper under real exam conditions

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

Start Timed Attempt