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Take this paper as a timed mock test. Review your answers after you submit.
Read the paper at your pace. Open an explanation when you need it.
The least number consisting of five digits and that is divisible by 97 is x. What is the sum of digits of x?
15
13
16
17
Correct answer
15
Laho dance belongs to the state of _________ in India.
Meghalaya
Rajasthan
Orissa
Andhra Pradesh
Correct answer
Meghalaya
Which of the following Venn diagrams best represents the relationship between women, mother, and doctor?
Correct answer
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:
6 × 103
5 × 102
7 × 102
3 × 102
Correct answer
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 : ?
0.005
0.05
0.2
0.002
Correct answer
0.005
What is the distance between the points (-2, 4) and (4, 4)?
8 units
4 units
2 units
6 units
Correct answer
8 units
A/An _______ is the software that manages all of a computer’s processes and allows programs and applications to run.
spam
malware
modem
operating system
Correct answer
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:
Some worker who were promoted in the last five year are hardworking
There are no worker in the factory who are not hardworking
Hardworking is the only criteria for promotion
After promotion, some worker stopped working hard
Correct answer
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:
5%
7%
6%
4%
Correct answer
5%
Choose the figure that is different from the rest.
Correct answer
The resulting value of 0.5 ÷ 12.5 + 0.25 × 0.05 – 0.0125 is:
0.04
0.5
0.4
0.05
Correct answer
0.04
Bio-gas is an excellent fuel as it contains up to ______% methane.
85
70
50
80
Correct answer
85
Identify the material having the lowest coefficient of linear expansion.
Brass
Iron
Copper
Lead
Correct answer
Brass
In a certain code language, ‘+’ represents ‘×’, ‘-‘ represents ‘+’, ‘×’ represents ‘÷’ and ‘÷’ represents ‘-‘, calculate the answer of the following equation.
8 + 3 × 4 - 2 = ?
12
6
10
8
Correct answer
12
Who invented the World Wide Web?
Tim Berner-Lee
Robert E. Kahn
Vint Cerf
Antonio Meucci
Correct answer
Tim Berner-Lee
Which of the following organisations prepares a Red List of Threatened Species?
RPPO
OIE
WWF
IUCN
Correct answer
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 : ?
Peel
Green
Fruit
Ripe
Correct answer
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:
8 J
12 J
16 J
4 J
Correct answer
8 J
Where is the "title block" usually made?
on the upper right hand corner of the drawing sheet
lower right corner of the drawing sheet
on the upper left corner of the drawing sheet
center on the drawing sheet
Correct answer
on the upper right hand corner of the drawing sheet
The construction of the “Sanchi Stupa” was commissioned by which Mauryan Emperor?
Chandragupta Maurya
Bindusara
Ashoka
Kautilya
Correct answer
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:
R
R/2
R/4
R/8
Correct answer
R
The weight of an object on the Earth is 150 N. Its weight on moon will be:
75 N
50 N
150 N
25 N
Correct answer
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?
3 m/s
6 m/s
9 m/s
12 m/s
Correct answer
3 m/s
The sum of a number and 16 times its reciprocal is 10. The number is:
5
6
8
7
Correct answer
5
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)
480 W
320 W
120 W
80 W
Correct answer
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?
10 minutes
2 minutes
4 minutes
3 minutes
Correct answer
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.
40 ohm
10 ohm
25 ohm
20 ohm
Correct answer
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?
78 minutes
72 minutes
75 minutes
70 minutes
Correct answer
78 minutes
What is the minimum number of lines required to make the given image?
11
10
9
12
Correct answer
11
In the first angle projection:
Object lies between observer and plane of projection
Object lies in the third quadrant
The plane of the projection lies between the object and the observer
Object lies in the fourth quadrant
Correct answer
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?
Rs. 20500
Rs. 21000
Rs. 23000
Rs. 22500
Correct answer
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
TTTOTTTT
TTTOTTTO
TTOTTT
TTOTTTT
Correct answer
TTTOTTTT
What is the power dissipated in a 5-ohm resistor carrying 2 A current?
10 W
0.6 W
2.5 W
20 W
Correct answer
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?
O is to the right of P
M is facing P
M is to the right of N
O is facing N
Correct answer
O is to the right of P
A black surface absorbs ________ as compared to a white surface, under identical conditions.
same heat
negligible heat
more heat
lesser heat
Correct answer
same heat
The thanksgiving festival of Pongal is primarily celebrated in which state of India?
Tamilnadu
Rajasthan
Maharashtra
Uttar Pradesh
Correct answer
Tamilnadu
The number 800 is divided in 2 parts such that one part is 9/7 times the other. The larger part is:
480
500
450
510
Correct answer
480
The idea of a Constituent Assembly was given by:
Dr. Rajendra Prasad
Maulana Abul Kalam Azad
M.N Roy
B.R. Ambedkar
Correct answer
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?
5 km West
7 km West
7 km East
5 km East
Correct answer
5 km West
What is the HCF of 275 and 308?
17
19
15
11
Correct answer
17
What will be the distance covered by a bus moving with a speed of 72 km/h in 5 seconds?
50 m
200 m
100 m
400 m
Correct answer
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:
0.40 A
0.24 A
0.12 A
0.16 A
Correct answer
0.40 A
Which of the following quantities does not have dimensions?
Frequency
Volume
Relative permeability
Force
Correct answer
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
Only conclusion II follows
Only conclusion I follows
Neither I nor II follows
Both I and II follow
Correct answer
Only conclusion II follows
Identify the metal having the lowest thermal conductivity.
Copper
Mercury
Aluminium
Silver
Correct answer
Copper
Choose the figure that is different from the rest.
Correct answer
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.
H is 2 km South of G
H is 5 km North of G
H is 5 km South of G
H is 2 km North of G
Correct answer
H is 2 km South of G
Identify the material, having high thermal conductivity.
Wood
Water
Ice
Insulating brick
Correct answer
Wood
In a certain code language, if STUDIO is coded as QRSBGM, then how will RAW be coded in that language?
PYU
WXR
UKN
TGB
Correct answer
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?
5/3 Km
8/3 Km
11/3 Km
10/3 Km
Correct answer
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.
40 year
30 year
25 year
35 year
Correct answer
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?
GD
GF
CEG
HGF
Correct answer
GD
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.
All conclusions I, II and III follow
Only conclusions I and III follow
Only conclusions II and III follow
Only conclusions I and II follow
Correct answer
All conclusions I, II and III follow
Identify the insulator from the below having high resistivity.
Glass
Diamond
Hard rubber
Dry paper
Correct answer
Glass
An object is accelerating at 5 m/s2 from its rest position. The velocity of this object after 5 s is:
15 m/s
20 m/s
5 m/s
25 m/s
Correct answer
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?
45
40
35
50
Correct answer
45
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:
6.5 m/s
9.0 m/s
4.5 m/s
7.5 m/s
Correct answer
6.5 m/s
What is the digit that will come at the unit’s place in the result of (423)423 × (1237)28 ?
9
7
1
3
Correct answer
9
Which type of pencil has the hardest graphite lead?
3H
2H
9H
HB
Correct answer
3H
In a Class 2 lever, effort and load move in the:
same direction
the movement depends on the load
opposite direction
perpendicular direction
Correct answer
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)
4.31 kJ
2.70 kJ
1.32 kJ
3.93 kJ
Correct answer
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’.
3
1
2
7
Correct answer
3
Find the odd word from the given alternatives
Carom board
Wheel
Coin
Hula hoop
Correct answer
Carom board
A ‘compass’ is used to draw:
Circle
Rectangle
Triangle
Straight line
Correct answer
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?
O * N - M + L
O - N * M + L
O + M - N * L
O - N + M * L
Correct answer
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?
Rs. 12000
Rs. 8000
Rs. 14400
Rs. 13600
Correct answer
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.
180 m3
280 m3
360 m3
200 m3
Correct answer
180 m3
What is the side of a cube if the total surface area is 96 sq. cm?
3 cm
5 cm
4 cm
2 cm
Correct answer
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.
Neither statement I nor II is sufficient
Statement I alone is sufficient while II alone is not sufficient
Statement II alone is sufficient while I alone is not sufficient
Either statement I or II is sufficient
Correct answer
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:
3.0 J/s
2.0 J/s
1.0 J/s
1.5 J/s
Correct answer
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):
200 kgm/s
100 kgm/s
40 kgm/s
0
Correct answer
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.
Both I and II are implicit
Only assumption I is implicit
Neither I nor II is implicit
Only assumption II is implicit
Correct answer
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?
Rs. 250
Rs. 300
Rs. 500
Rs. 200
Correct answer
Rs. 250
If we compare the effort arm length with the load arm length in a class 1 lever, ________
effort arm length is always < load arm length
effort arm length is always = load arm length
effort arm length is always > load arm length
effort arm length can be greater than, equal to or less than the length of the load arm
Correct answer
effort arm length is always < load arm length
Increasing the pressure on an object ______ the volume of the object and therefore ______ its density.
increases, increases
increases, decreases
decreases, increases
decreases, decreases
Correct answer
increases, increases
If we compare the effort arm length with the load arm length in a Class 2 lever, _______.
effort arm length is always = load arm length
effort arm length can be greater than, equal to or less than the length of the load arm
effort arm length is always > load arm length
effort arm length is always < load arm length
Correct answer
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:
P = V I
P = V/I
P = I/V
P = 1/(V I)
Correct answer
P = V I
If we double the length of a copper wire keeping the cross-sectional area constant, its resistance increases by _______ times.
Four
One
Three
Two
Correct answer
Four
Which of these is NOT a novel written by Premchand?
Godaan
Gaban
Nirmala
Deepshikha
Correct answer
Godaan
The Celsius temperature (tC) and the Fahrenheit temperature (tF) are related as:
tF = (5/9) tC + 32
tF = (9/5) tC
tF = (9/5) tC + 32
tF = (5/9) tC
Correct answer
tF = (5/9) tC + 32
What is the square root of 0.000225?
0.0125
0.0015
0.005
0.015
Correct answer
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:
12 cm
10 cm
20 cm
8 cm
Correct answer
12 cm
Which country did India beat to win the Under19 Cricket Asia Cup 2018?
Sri Lanka
Afghanistan
Pakistan
Bangladesh
Correct answer
Sri Lanka
The view of an object produced on a vertical plane is referred to as:
Right hand side view
Top view
Front view
Left hand side view
Correct answer
Right hand side view
Who was appointed as the Chief Justice of India on 03.10.2018?
Mr. N.V. Ramana
Mr. Ranjan Gogoi
Mr. Kurian Joseph
Mr. Arjan Kumar Sikri
Correct answer
Mr. N.V. Ramana
The specific heat capacity of a substance is defined by:
m(ΔQ/ΔT)
m(ΔT/ΔQ)
(1/m)(ΔQ/ΔT)
(1/m)(ΔT/ΔQ)
Correct answer
m(ΔQ/ΔT)
10% of 1000% of 100 = ?
110
100
102
105
Correct answer
110
A pair of plier and scissor are together considered as a _______ Class 1 lever.
triple
single
double
simple
Correct answer
triple
A component that adds to a software program’s functionality is called as ______
Plug-in
Processor
Modem
Server
Correct answer
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?
X is the son of Z
Z is the sister of X
Z is the sister of the mother of X
X is the sister of Z
Correct answer
X is the son of Z
Our electricity bills carry the energy consumption, expressed in units of _______.
KVA
kW
kWh
KJ
Correct answer
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.
100 cm2
92 cm2
96 cm2
196 cm2
Correct answer
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
11.9
12.3
11.7
12.6
Correct answer
11.9
The median of 2, 9, 11, 7, 3, 4, 8, 5, 3, 6 is:
3.5
5
5.5
4
Correct answer
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?
Rs. 750
Rs. 800
Rs. 880
Rs. 840
Correct answer
Rs. 750
Find the odd set of letter from the given alternatives.
JLN
MNO
RTV
CEG
Correct answer
JLN
Standing up and supporting the lower back with hands, then gently arching back and holding this posture for some time is called as:
Finger fan
Back arching
Wrist stretch
Pectoral stretch
Correct answer
Finger fan
Which two signs should be interchanged to correct the given equation?
15 ÷ 3 + 2 × 10 - 6 = 14
÷ and -
÷ and +
Correct answer
÷ and -
Which of these is NOT a type of string musical instrument?
Bass
Violin
Tuba
Cello
Correct answer
Bass
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?
500
4
100
5
Correct answer
500
In a right-angled triangle, right angled at A, the angle formed B is 45o. If the length of side AB is 5m, then what is the length of the side AC?
2.5 m
3 m
5 m
5.5 m
Correct answer
2.5 m
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
0.5 s
0.2 s
0.1 s
0.3 s
Correct answer
0.5 s
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:
402 m/s
330 m/s
360 m/s
420 m/s
Correct answer
402 m/s
A crown glass prism with refracting angle 6o is to be achromatized for red and blue light with a flint glass prism. The angle of the flint glass should be (Given μr = 1.513, μb = 1.523 for crown glass and μr = 1.645, μb = 1.665 for flint glass)
1.5o
2.4o
3o
4.5o
Correct answer
1.5o
Tungsten is used for making bulb filaments of incandescent lamps because:
Tungsten has the highest boiling point.
Tungsten takes a long time to reach its melting point
Tungsten becomes extremely bright when it glows for long hours.
Tungsten has the highest melting point and does not melt even while it is glowing for long hours .
Correct answer
Tungsten has the highest boiling point.
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
25%
37.5%
93.75%
6.25%
Correct answer
25%
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 ….
3√3
3 - 3√3
3 + 3√3
3 + √3
Correct answer
3√3
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 60o?
1.25 m
1.5 m
2.25 m
1 m
Correct answer
1.25 m
In a triangle PQR, the length of the side PQ is 4m, the angle of R is 60o and the angle at Q is 30o, what is the length of side PR?
4√2 m
4 / √3 m
4√3 m
√3 / 2 m
Correct answer
4√2 m
The S.I. Unit of Resistivity is:
ohm
ohm/m
V/m
ohm-m
Correct answer
ohm
1 ampere = _____
1 coulomb × 1 second
1 volt / 1 second
1 second / 1 coulomb
1 coulomb / 1 second
Correct answer
1 coulomb × 1 second
In a right-angled triangle ABC, the angle A is 90o, What the value of sec B, if BC is 5 cm and AB is 3 cm.
1.5
1.07
1.67
1.73
Correct answer
1.5
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?
15 cm
3 cm
12 cm
30 cm
Correct answer
15 cm
Form the quadratic equation whose roots are 3 and 4
x2 + 3x + 4 = 0
x2 - 3x + 4 = 0
2x2 - 7x - 12 = 0
x2 - 7x + 12 = 0
Correct answer
x2 + 3x + 4 = 0
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:
250 m/s
2.5 m/s
25 m/s
0.25 m/s
Correct answer
250 m/s
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?
4 : 1
2 : 3
1 : 4
3 : 4
Correct answer
4 : 1
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)
2 s
5 s
4 s
1 s
Correct answer
2 s
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
(c) Both (a) and (b)
(d) Neither (a) nor (b)
(b)
(d)
(a)
(c)
Correct answer
(b)
Let y = x / 6 and 4x + 12y = 48. What is the value of x and y?
x = 3 and \(y = \frac{2}{3}\)
x = 3 and \(y = \frac{4}{3}\)
x = 9 and y = 3
x = 8 and \(y = 1\frac{1}{3}\)
Correct answer
x = 3 and \(y = \frac{2}{3}\)
Which of the following can be produced during nuclear fission and nuclear fusion?
Electron
Proton
Neutron
Deuteron
Correct answer
Electron
Sum of first 25 terms in the following series would be
7, 11, 15, 19, 23, …
1325
1258
1375
1296
Correct answer
1325
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.
480 cm
320 cm
400 cm
200 cm
Correct answer
480 cm
In the following figure PY and RX are the medians of the right angled triangle PQR, if PR = 8 cm, then PY2 + RX2 = ?
128 cm
96 cm
64 cm
80 cm
Correct answer
128 cm
Two lenses of power -15 D and +5 D are placed in contact with each other. The focal length of the combination is:
-10 cm
+10 cm
-20 cm
+20 cm
Correct answer
-10 cm
Which of the following are characteristics of a good fuel?
Fewer residues after burning
Less smoke
High calorific value
Low density
Correct answer
Fewer residues after burning
Which of the following is not a source of magnetic field?
Electric current
Static charges
A rotating magnet
A galvanometer carrying current
Correct answer
Electric current
Divide (-12x + 48) / (x - 4), when x ≠ 4
-12
(x - 4)
12(x - 4)
12(x) / (x - 4)
Correct answer
-12
A ray of light incident on a transparent block at an angle of incidence 60o. If μ of block is √3 then the angle of deviation of the refracted ray is:
30o
25o
15o
45o
Correct answer
30o
A shot is fired at 30o 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:
K/4
K
K/2
3K/4
Correct answer
K/4
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?
4π cm2
32π cm2
8π cm2
16π cm2
Correct answer
4π cm2
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)
1000
600
800
1500
Correct answer
1000
Two plane mirrors are at 45o to each other. If an object is placed between them, then the number of images will be
5
8
7
9
Correct answer
5
Reduce to linear form: (15x + 3) / 6x = 2 / 3
11x + 3 = 0
11x - 3 = 0
11x - 2 = 0
33x + 4 = 0
Correct answer
11x + 3 = 0
When objects at different distances are seen distinctly by the eye, which of the following remains constant:
The object distance from the eye lens
The focal length of the eye lens
The image distance from the eye lens
The radius of curvature of the eye lens
Correct answer
The object distance from the eye lens
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?
2 m
5 m
3 m
4 m
Correct answer
2 m
When the momentum of a body is doubled, by keeping its mass unchanged, the kinetic energy is :
halved
becomes three times of the original
becomes four times of the original
doubled
Correct answer
halved
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 :
18 m
12 m
24 m
6 m
Correct answer
18 m
Roots of the following equation are 6x2 + 4x - 2 = 0
1, -1 / 3
1 / 3, -1 / 3
1, 1 / 3
-1, 1 / 3
Correct answer
1, -1 / 3
Find the mean of the following numbers
0.125, 0.225, 0.182, 0.156, 0.196, 0.220
0.182
0.192
0.189
0.184
Correct answer
0.182
If, \( x=a+bt+ct^2 \)
and x is in meters and t is in seconds, then the unit of 'a' is:
ms-1
ms-2
m
m2s
Correct answer
ms-1
The dimensional formula of speed
[MLT-1]
[M0LT-1]
[ML0T-1]
[MLT-2]
Correct answer
[MLT-1]
Evaluate (0.2 × 0.36 + 0.8 × 0.36) / 0.18
0.3
2
0.2
1.28
Correct answer
0.3
A dice is rolled, what is the probability of even numbered outcomes:
½
1 / 5
1 / 3
2 / 3
Correct answer
½
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
7K/30
K
K/4
7K/29
Correct answer
7K/30
Which of the following is an irrational number?
2
7i
√3 - 3
2 / 3
Correct answer
2
Frame the quadratic equation one of whose roots is √3 - 1
x2 - 2x + 2 = 0
x2 + 2x + 2 = 0
x2 - 2x - 2 = 0
x2 + 2x - 2 = 0
Correct answer
x2 - 2x + 2 = 0
Which one of the following is not a characteristic of sound wave?
Amplitude
Wave length
Frequency
Brightness
Correct answer
Amplitude
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?
20√3 m
20 / √3 m
2 / √3 m
√3 / 2 m
Correct answer
20√3 m
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 = ?
30 cm
3 cm
15 cm
12 cm
Correct answer
30 cm
What is the radius of a circle where the central angle of 90o intercepts an arc of length 13 cm?
4 / π cm
12 / π cm
26π cm
26 / π cm
Correct answer
4 / π cm
Which of the following is a rational number?
4 / 15
√5
4√7
π / √3
Correct answer
4 / 15
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)
65
150
85
175
Correct answer
65
Light year is the unit of
length
time
mass
area
Correct answer
length
What is the angle at B in the triangle ABC, if the angle made at K is 30o and the triangles shown in the figure are similar?
30o
60o
70o
20o
Correct answer
30o
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)
13860
1836
1386
11836
Correct answer
13860
What would be the seventh term in the following series:
2, 11, 20, 29, 38, ….
65
54
56
67
Correct answer
65
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.
3
3x2 - 3
3x2
3x2 + x
Correct answer
3
Find the zeros of the function f(x) = (x - 3)(x- 2).
3, 2
0, -2
-3, -2
0
Correct answer
3, 2
1 kWh = _____ J
3.6 × 104 J
3.6 × 105 J
3.6 × 106 J
3.6 × 103 J
Correct answer
3.6 × 104 J
The minute hand of a watch is 2 cm long. How far does its tip move in 10 minutes?
π / 3 cm
π / 4 cm
2π / 3 cm
4 / π cm
Correct answer
π / 3 cm
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
2 D
8 D
1 D
4 D
Correct answer
2 D
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?
1000
500
2500
2150
Correct answer
1000
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?
1 / 5
¼
4 / 5
2 / 5
Correct answer
1 / 5
24 × (15 + 45) ÷ 6 + (45 + 5) - 5 = ?
285
240
275
280
Correct answer
285
If the points P(15, 15), Q(50, 25) and R(β, 35) are collinear then what would be β.
24
-25
85
-82
Correct answer
24
S.I. Unit of universal gravitational constant is
Nkg2/m2
kg2/Nm2
Nm2/kg2
N2m2/kg2
Correct answer
Nkg2/m2
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:
5 kg
10 kg
15 kg
20 kg
Correct answer
5 kg
When white light passes through a hollow prism, then
there is both dispersion and deviation
deviation but no dispersion
there is no dispersion and no deviation
dispersion but no deviation
Correct answer
there is both dispersion and deviation
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 :
v/4
4v
2v
v/2
Correct answer
v/4
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
(64 / 9, 134 / 9)
(64 / 7, 134 / 7)
(100 / 7, 138 / 7)
(100 / 9, 138 / 9)
Correct answer
(64 / 9, 134 / 9)
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 =
1
3
2
4
Correct answer
1
If v = image distance, u = object distance then linear magnification, m =
\(m = \frac{v}{u}\)
\(m = -\frac{v^2}{u}\)
\(m = -\frac{v}{u}\)
m = \(m = -\frac{v}{u^2}\)
Correct answer
\(m = \frac{v}{u}\)
PQRS is a rhombus that what would be PQ2 + QR2 + RS2 + SP2 =?
2(PR2 + QS2)
(PR2 + QS2)
2PQ.RS
4(PR2 + QS2)
Correct answer
2(PR2 + QS2)
175 questions in the full paper