RRB ALP 2018 CBT 2 Physics and Mathematics Railway Previous Year Question Paper and Answer Key Free PDF Download
2nd Stage CBT for ALP & TECHNICIANS (CEN-01/2018)
Participants Name:
Test Center Name: ION Digital Zone iDZ Ramakrishna Colony
Test Date: 22/01/2019
Test Time: 8:30 AM - 11:00 AM
Subject: Part A and Exam Trade : Physics and Maths
1. Options shown in green color with a tick icon are correct
2. Chosen option on top right of the question indicates the option selected by the candidate
3. The numbers indicated against the Question ID and Option ID are the numbers to be noted and used for raising objections
Section : Part A
Q.1 Given below is a statement followed by two conclusions numbered I and II. Assume everything in the statement to be true, and then decide which of the given conclusions logically follow (a), beyond a reasonable doubt, from the information given in the statement.
Statement: The colour of blood is red due to the presence of red blood cells.
Conclusion I: If red blood cells are removed, blood will lose its red colour.
Conclusion II: Red blood cells will be red as long as they remain in the blood.
Ans
1. Only conclusion I follows.
X 2. Neither conclusion I nor II follows.
X 3. Only conclusion II follows.
X 4. Both conclusions I and II follow.
Q.2 Two resistors, each of 20 Ω, are connected in parallel, and this combination is connected across a 40-V supply. Find the voltage across each resistor.
Ans
X 1. 10 V
X 2. 20 V
3. 40 V
X 4. 30 V
Q.3 Chile is a part of which continent?
Ans
1. South America
X 2. Europe
X 3. Asia
X 4. North America
Q.4 A taxi travels 7 km south, then turns towards the east and travels 5 km, then turns towards the north and travels 7 km and then turns to its left and travels 2 km. What is the location of the taxi now with respect to its starting position?
Ans
1. 3 km towards the east
X 2. 3 km towards the west
X 3. 7 km towards the east
X 4. 7 km towards the west
Q.5 Nadia Murad and Denis Mukwege won the Nobel Prize in 2018 for which discipline?
Ans
X 1. Physics
2. Peace
X 3. Economic Sciences
X 4. Chemistry
Q.6 Identify the conductor having the lowest resistivity.
Ans
X 1. Aluminium
X 2. Iron
3. Silver
X 4. Copper
Q.7 ______ is the heat per unit mass required to change a substance from solid into liquid at the same temperature and pressure.
Ans
X 1. Regulation
X 2. Sublimation
3. Latent heat of fusion
X 4. Vaporisation
Q.8 In this question, a statement is given, followed by some conclusions given as options. Choose the conclusion that logically follows from the given statement.
Statement: The fear of punishment reduces instances of cheating during exams.
Ans
1. Invigilators are to be blamed if students are caught cheating during exams.
2. Instances of cheating increase if exam is difficult.
3. Punishment is a factor that controls incidences of cheating during exams.
4. Education has become rote learning, and hence, students cheat.
Q.9 The area under the velocity-time curve between times t1 and t2 is equal to the ______ of the object during that interval of time.
Ans
X 1. acceleration
2. magnitude of displacement
X 3. average velocity
X 4. force
Q.10 15% of 120% of 150 is equal to:
Ans
X 1. 33
X 2. 24
X 3. 30
4. 27
Q.11 Two fielders, I and J, start from the same point on a ground. I runs 20 m north and then turns towards the east and runs 35 m. He then turns to his right and runs 15 m. Meanwhile, J runs 30 m north and then turns right and runs 35 m. Where is J now with respect to I?
Ans
X 1. 35 m towards the south
2. 25 m towards the north
X 3. 35 m towards the north
X 4. 25 m towards the south
Q.12 If '+' represents '×', '×' represents '÷', '-' represents '+' and '÷' represents '-', then find the value of the following expression.
6 ÷ 8 × 2 - 4
Ans
X 1. 12
X 2. 18
X 3. 24
4. 6
Q.13 Which of the following is NOT a power of the President of India?
Ans
1. Appointment of the Chief Minister of Union Territories
X 2. Appointment of Governors of states
X 3. Appointment of the Chief Justice
X 4. Declaring a national emergency
Q.14 Which country is the largest producer of the cocoa crop, the main ingredient used to make chocolate?
Ans
X 1. Brazil
2. Ivory Coast
X 3. Switzerland
X 4. Ghana
Q.15 Two taps can fill an empty cistern in 8 min and 20 min, respectively. However, together, they take 30 min to fill it because of a leak. How much time will the leak take to empty a full cistern?
Ans
X 1. 140/19 min
X 2. 140/17 min
3. 120/17 min
X 4. 120/19 min
Q.16 The HCF of two numbers is 9 and their LCM is 252. The sum of numbers is:
Note: For this question, discrepancy is found in question/answer. So, this question is ignored for all candidates.
Ans
X 1. 90
2. 79
X 3. 78
X 4. 108
Q.17 Conduction and convection modes of heat transfer CANNOT operate between bodies separated by ______.
Ans
X 1. water
X 2. ice
X 3. aluminium
4. vacuum
Q.18 Read the given question carefully and decide which of the following statements is/are sufficient to answer the question.
Question: What was the share of the picnic cost to be borne by each student?
Statements:
I) The total cost of the picnic was 12,500, and the number of students who went for the picnic was 15.
II) If 3 fewer students would have gone, then the cost of the picnic per student would have increased by 120.
Ans
X 1. II alone is sufficient while I alone is not sufficient.
X 2. Neither I nor II is sufficient.
X 3. Either I or II is sufficient.
4. I alone is sufficient while II alone is not sufficient.
Q.19 ______ is the unit of thermal conductivity.
Ans
X 1. J·s·K
2. J·s⁻¹·m⁻¹·K⁻¹
X 3. J⁻¹·s⁻¹·kg⁻¹
X 4. J·s⁻¹·K
Q.20 Unsolicited electronic messages sent for marketing purposes are called ______.
Ans
X 1. URL
2. spam
X 3. virus
X 4. unzip
Q.21 One mile is approximately equivalent to ______ kilometers.
Ans
X 1. 1.2
X 2. 0.8
X 3. 1.4
4. 1.6
Q.22 A train travels 45 m in 3 s. What is the speed of the train in km/h?
Ans
1. 54
X 2. 51
X 3. 50.5
X 4. 48
Q.23 A perfect square number can never have the digit ______ at the unit's place.
Ans
X 1. 6
X 2. 1
3. 3
X 4. 9
Q.24 The efficiency of a machine can never be ______.
Ans
X 1. 75%
2. 100%
X 3. 50%
X 4. 10%
Q.25 A sum of 1,250 amounts to 1,550 in 4 years. What is the simple interest rate?
Ans
1. 6%
X 2. 8%
X 3. 4%
X 4. 1%
Q.26 An effort of 5 units is applied on a 10-unit load. The distance travelled by the effort and the load are 50 and 20 units, respectively. Find the efficiency of this machine.
Ans
X 1. 60%
X 2. 50%
3. 80%
X 4. 70%
Q.27 What will be the simple interest on ₹1,450 invested for 5 years at a rate of 5% pa?
Ans
X 1. ₹365
2. ₹362.5
X 3. ₹365.5
X 4. ₹360
Q.28 A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
DE, GH, JK, MN, ?
Ans
1. PQ
X 2. RP
X 3. OP
X 4. QR
Q.29 D is the midpoint of line segment AB. The co-ordinates of A and D are (2, 4) and (-1, 3), respectively. The co-ordinates of B are:
Ans
1. (-4, 2)
X 2. (-5, 4)
X 3. (3, 1)
X 4. (4, -5)
Q.30 A 100-g block of lead is heated from 20°C to 50°C. Calculate the amount of heat transferred to the block (specific heat of lead = 127 J·kg⁻¹·K⁻¹).
Ans
X 1. 321 J
X 2. 127 J
3. 381 J
X 4. 230 J
Q.31 Identify the conductor having the highest resistivity.
Ans
X 1. Copper
2. Mercury
X 3. Silver
X 4. Aluminium
Q.32 Select the option that is related to the third number in the same way as the second number is related to the first number.
400 : 20 :: 100 : ?
Ans
X 1. 5
X 2. 50
3. 10
X 4. 1
Q.33 The Fahrenheit and Celsius scales converge at
Ans
X 1. -30°
2. -40°
X 3. -50°
X 4. -20°
Q.34 Two numbers, A and B, cover the same distance at the speeds of 15 km/h and 16 km/h, respectively. If A takes 16 min more than B, then the distance (in km) is:
Ans
X 1. 48
X 2. 54
3. 64
X 4. 70
Q.35 Two statements are given, followed by two conclusions, I and II. Consider the statements to be true even if they seem to be at variance with commonly known facts, and decide which of the given conclusions, if any, follow (s) from the given statements.
Statement 1: All bees are hornets.
Statement 2: Some bees are wasps.
Conclusion I: Some hornets are wasps.
Conclusion II: Some wasps are bees.
Ans
1. Both conclusions I and II follow.
X 2. Only conclusion I follows.
X 3. Neither conclusion I nor II follows.
X 4. Only conclusion II follows.
Q.36 What is the minimum number of lines required to make the given image?
Ans
X 1. 11
2. 10
X 3. 9
X 4. 12
Q.37 Find the odd word out of the given alternatives.
Ans
X 1. Shrub
2. Flower
X 3. Herb
X 4. Tree
Q.38 Let We and Wm be the weight of an object on the Earth and the Moon, respectively. Then, the ratio We / Wm is equal to
Ans
1. 6
X 2. 2
X 3. 4
X 4. 1
Q.39 The force applied to overcome a load is called
Ans
X 1. velocity ratio
X 2. Weight
3. effort
X 4. mechanical advantage
Q.40 The unit's digit of (1373)³⁶ - (1442)²⁰ is:
Ans
X 1. 2
X 2. 4
3. 5
X 4. 3
Q.41 Under whose rule was the Charminar monument built in Hyderabad?
Ans
X 1. Jahangir
X 2. Qutb-ud-din Aibak
X 3. Akbar
4. Muhammad Quli Qutb Shah
Q.42 ______ states that the electric current flowing through a metallic wire is directly proportional to the potential difference 'V' across its ends provided its temperature remains the same.
Ans
1. Ohm's law
X 2. Joule's law
X 3. Ampere's law
X 4. Coulomb's law
Q.43 In which year was the Eiffel Tower built, to celebrate the 100-year anniversary of the French Revolution?
Ans
1. 1889
X 2. 1913
X 3. 1886
X 4. 1900
Q.44 A small angled surface formed between two surfaces is called a ______.
Ans
X 1. chuck
X 2. collar
X 3. contour
4. chamfer
Q.45 ______ is defined as the total path length travelled by an object divided by the total time interval during which the motion has taken place.
Ans
X 1. Uniform acceleration
X 2. Instantaneous acceleration
X 3. Instantaneous velocity
4. Average speed
Q.46 If C $ D means C is the husband of D, C & D means C is the mother of D and C % D means C is the son of D, then what does X % Z $ W & Y mean if W has only one son?
Ans
X 1. X is the son of Y
2. X is the brother of Y
X 3. Y is the son of X
X 4. Y is the brother of X
Q.47 Who is the Admiral of the Indian Navy as of December 2018?
Ans
X 1. Birender Singh Dhanoa
2. Sunil Lanba
X 3. Arup Raha
X 4. Robin K Dhawan
Q.48 Find the odd letter cluster out of the given alternatives.
Ans
X 1. UWY
X 2. OQS
X 3. IKM
4. GEC
Q.49 A and B can complete a task in 30 days, whereas A, B and C can complete the same task in 21 days. In how many days can C alone complete the task?
Ans
1. 70
X 2. 72.5
X 3. 65
X 4. 67.5
Q.50 The mass density or density of a material is defined as its ______.
Ans
X 1. mass per unit area
X 2. mass per ampere
X 3. mass per unit length
4. mass per unit volume
Q.51 An object of mass 1 kg is moving with a velocity 10 m/s. Find the kinetic energy of the object.
Ans
X 1. 5 J
X 2. 10 J
3. 50 J
X 4. 100 J
Q.52 If a + b = 7 and ab = 12, then a² + b² is equal to:
Ans
X 1. 24
2. 25
X 3. 24.5
X 4. 25.5
Q.53 A television set was purchased for 650, and another 50 were spent on its transportation. At what price should it be sold so that the profit earned would be 20%?
Ans
X 1. 870
X 2. 810
3. 840
X 4. 780
Q.54 ______ is a mode of heat transfer by actual motion of matter.
Ans
X 1. Conduction
X 2. Vaporisation
X 3. Radiation
4. Convection
Q.55 In a code language, if MYTHIC is written as OAVJKE, then how will FOG be written as in the same language?
Ans
X 1. PNM
X 2. KIH
3. HQI
X 4. FDC
Q.56 An object starts from rest at x = 0 m and t = 0 s. It moves with a constant acceleration of 2 m/s² along the x-axis. What is its average velocity between time 1 s and 5 s?
Ans
X 1. 2 m/s
X 2. 4 m/s
3. 6 m/s
X 4. 8 m/s
Q.57 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 through the 20-Ω resistor is:
Ans
X 1. 0.36 A
X 2. 0.60 A
3. 0.24 A
X 4. 0.12 A
Q.58 Heat supplied to a system is measured in
Ans
X 1. amperes
X 2. degrees kelvin
X 3. kilowatts
4. joules
Q.59 Find the mean of the mode and the median of the given data.
15, 3, 8, 7, 6, 5, 5, 7, 18, 7
Ans
X 1. 5
X 2. 8
3. 7
X 4. 6
Q.60 150 of Amit's pocket money was spent on a pair of shoes and 75 on a watch. The total amount spent was three-fourth of his total pocket money. What was the amount received by Amit as pocket money?
Ans
1. 300
X 2. 250
X 3. 400
X 4. 375
Q.61 The sum of all internal angles of a quadrilateral is:
Ans
X 1. 540°
2. 360°
X 3. 180°
X 4. 720°
Q.62 Calculate the length of the diagonal of a square if the area of the square is 32 cm².
Ans
1. 8 cm
X 2. 16 cm
X 3. 12 cm
X 4. 4 cm
Q.63 Choose the figure that is different from the rest.
Ans
X 1. [Image]
X 2. [Image]
X 3. [Image]
4. [Image]
Q.64 The smallest number that can be added to 56789 to make it divisible by 345 is x. What is the sum of the digits of x?
Ans
X 1. 11
X 2. 13
X 3. 9
4. 10
Q.65 When 1 kg of water is cooled from 4°C to 0°C, its volume
Ans
1. first decreases and then increases
2. remains the same
3. decreases
4. increases
Q.66 A block of wood floats on water, with 65% of its volume under water. Its density (in kg/m³) is approximately:
Ans
1. 0.65 × 10³
X 2. 0.55 × 10³
X 3. 0.35 × 10²
X 4. 0.25 × 10²
Q.67 ______ is defined as the time rate at which work is done or energy is transferred.
Ans
X 1. force
2. Power
X 3. distance
X 4. displacement
Q.68 Which of the following Venn diagrams best represents the relationship between squares, quadrilaterals and geometrical figures?
Ans
1. [Image]
2. [Image]
3. [Image]
4. [Image]
Q.69 What is the area of a square whose diagonal measures 4 cm?
Ans
X 1. 10 cm²
X 2. 6 cm²
X 3. 4 cm²
4. 8 cm²
Q.70 Which two signs should be interchanged to correct the given equation?
3 × 6 + 2 - 4 ÷ 8 = 13
Ans
X 1. + and -
X 2. + and ×
3. ÷ and +
X 4. × and -
Q.71 Tap A can fill an empty swimming pool in 10 h. Tap B can fill it in 15 h. How much time will the two taps take to fill the empty pool together?
Ans
X 1. 8 h
X 2. 7 h
X 3. 5 h
4. 6 h
Q.72 Two statements are given, followed by three conclusions, I, II and III. Consider the statements to be true even if they seem to be at variance with commonly known facts, and decide which of the given conclusions, if any, follow (s) from the given statements.
Statement 1: No boats are ships.
Statement 2: All ship are steamers.
Conclusion I: Some boats are steamers.
Conclusion II: No ships are boats.
Conclusion III: Some steamers are ships.
Ans
1. Only conclusions II and III follow.
X 2. All the conclusions, I, II and III, follow.
X 3. Only conclusions I and III follow.
X 4. Only conclusions I and II follow.
Q.73 A/an ______ angle is the angle between two planes.
Ans
X 1. offset
X 2. spline
3. dihedral
X 4. polar
Q.74 A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
9.3, 10.1, 10.9, 11.7, ?, 13.3
Ans
X 1. 12.9
X 2. 12.2
3. 12.5
X 4. 12.7
Q.75 Who was the captain of the India Men's National Field Hockey Team during the 2018 Men's Hockey World Cup held in Bhubaneshwar?
Ans
X 1. Manoj Kumar
X 2. Shiva Thapa
X 3. Devendro Singh
4. Manpreet Singh
Q.76 Which of the following is the approximate ratio of length to breadth of any standard Engineering drawing sheet?
Ans
X 1. 3 : √3
X 2. 1 : √3
3. 2 : √2
X 4. 1 : √2
Q.77 The density of fresh water is ______ the density of salt water.
Ans
X 1. more than
X 2. negligible compared with
3. less than
X 4. equal to
Q.78 The potential energy of a 20-kg object at height h is 600 J. The value of h is ______. (Take g = 10 m/s²)
Ans
1. 3 m
X 2. 1 m
X 3. 30 m
X 4. 2 m
Q.79 Choose the figure that is different from the rest.
Ans
X 1. [Image]
X 2. [Image]
X 3. [Image]
4. [Image]
Q.80 The difference between the roots of the equation x² - 6x - 16 = 0 is:
Ans
X 1. 11
X 2. 9
3. 10
X 4. 12
Q.81 The average age of a family of 5 members is 20 years, with the youngest member being 5 years old. What was the average age (in years) of the family just before the birth of the youngest member?
Ans
X 1. 18.5
2. 18.75
X 3. 19
X 4. 18.25
Q.82 In third-angle projection, ______.
Ans
X 1. the object lies between the observer and the plane of projection
X 2. the object lies in the first quadrant
X 3. the object lies in the second quadrant
4. the plane of projection lies between the object and the observer
Q.83 Nose : Smell :: Ears : ?
Ans
X 1. Ear-ring
X 2. Deaf
X 3. Two
4. Sound
Q.84 Read the given information carefully and answer the question that follows.
Q, R, S and T are sitting around a round table. Q is sitting next to R. S is sitting to the left of T. Q is not sitting next to T.
Which of the following statements is INCORRECT?
Ans
X 1. S is facing R.
X 2. S is to the right of Q.
X 3. Q is facing T.
4. Q is to the left of R.
Q.85 In a code language, 349 means 'painting is art', 749 means 'drawing is art' and 573 means 'painting and drawing'. Find the code for 'and'.
Ans
X 1. 7
X 2. 3
X 3. 9
4. 5
Q.86 A ball is thrown vertically upward with a speed of 30 m/s. The magnitude of its displacement after 4 s will be ______ (Take g = 10 m/s²)
Ans
X 1. 15 m
X 2. 50 m
X 3. 30 m
4. 40 m
Q.87 How many degrees does the minute hand of a clock cover in the same time in which the second hand covers 3240°?
Ans
X 1. 51
X 2. 45
3. 54
X 4. 48
Q.88 Where was the BRICS Summit held in 2018?
Ans
1. South Africa
X 2. Brazil
X 3. China
X 4. India
Q.89 In the following figure, the square represents dieticians, the triangle represents botanists, the circle represents psychologists and the rectangle represents Indians. Which set of letters represents the psychologists who are also botanists?
Ans
X 1. AGE
2. AB
X 3. ABEC
X 4. AEF
Q.90 If (4x + 5) : (3x + 11) = 13 : 17 then (5x + 4) : (4x - 1) = ?
Ans
X 1. 3:2
X 2. 5:2
X 3. 4:3
4. 2:1
Q.91 The areas of two similar triangles ΔXYZ and ΔLMN are 49 cm² and 9 cm² respectively. If LM = 9 cm, then the length of XY is.
Ans
1. 21 cm
X 2. 14 cm
X 3. 7 cm
X 4. 49 cm
Q.92 A brick wall having a thickness of 24 cm has an inner surface temperature of 25°C and an outer surface temperature of 5°C. The rate of heat loss through per square metre of the wall (thermal conductivity = 0.15 J/(mK)) is:
Ans
1. 12.5 J/s
X 2. 23.0 J/s
X 3. 20.0 J/s
X 4. 18.2 J/s
Q.93 A cylindrical wire of length L and radius r has a resistance R. The resistance of another wire of the same material but half its length and half its radius will be:
Ans
X 1. R/2
X 2. R
3. 2R
X 4. 4R
Q.94 A video or photo experiencing a sudden spike in popularity in a short period of time is termed as ______.
Ans
X 1. spam
2. viral
X 3. virus
X 4. Wi-Fi
Q.95 If G + H means G is the son H, G - H means G is the husband of H and G * H means G is the sister of H, which of the following shows that J is the mother-in-law of N?
Ans
X 1. N + M - K * J
X 2. N * M - K + J
X 3. N + M * K - J
4. N - M * K + J
Q.96 In practice, the work output of a machine is ______ the work input due to the effect of friction.
Ans
X 1. always more than
2. always less than
X 3. opposite to
X 4. always zero to
Q.97 What is the missing term in the Arithmetic progression?
243, 255, ..., 279, 291
Ans
X 1. 265
X 2. 264
3. 267
X 4. 261
Q.98 A boy throws two balls in air in such a manner that when the first ball is at its maximum height he throws the second ball. If the balls are thrown with the time difference of one second, the maximum height attained by each ball is (g = 10 m/s²)
Ans
X 1. 2.5 m
2. 5 m
X 3. 10 m
X 4. 3.5 m
Q.99 Two resistors 1 ohm and 2 ohm are connected in series. The effective resistance is
Ans
X 1. 2/3 ohm
2. 3 ohm
X 3. 1 ohm
X 4. 2 ohm
Q.100 A 1.8 m tall boy is standing at some distance from a 12 m tall building. The angle of elevation from his eyes to the top of the building increases from 45° to 60° as he walks towards the building. Find the distance (in meters) he walked towards the building.
Ans
1. 51(√3+1) / 5√3
2. 51(√3-1) / 5√3
3. 12(√3-1) / √3
4. 12(√3+1) / √3
Q.101 Solve for x in 12x² + 45x = 0
Ans
1. x = 0, x = -15/4
2. x = 0, x = 15/4
3. x = 0, x = -12
4. x = 0, x = -45
Q.102 Which of the following forces is conservative?
Ans
1. Frictional force
2. Air resistance
3. Electrostatic force
4. Viscous force
Q.103 Reduce to linear form
(5x + 1) / 2x = 5 / 4
Ans
1. 5x - 2 = 0
2. 5x + 2 = 0
3. 5x - 4 = 0
4. 5x + 1 = 0
Q.104 The ability of eye to focus on both near and far objects is called
Ans
1. Power of accommodation
2. Myopia
3. Hypermetropia
4. Presbyopia
Q.105 A current through a horizontal power line flows in east to west direction. The direction of magnetic field in a point directly below it is
Ans
1. south to north
2. north to south
3. west to east
4. east to west
Q.106 A farmer wants to fence his rectangular field of length 200 m and area 3000 m². If the cost of fencing per metre is 50 rupees, what is the total cost of fencing in rupees?
Ans
X 1. 500
X 2. 1000
X 3. 2150
X 4. 2500
Q.107 Triangles PQR and ABC are similar triangles. Triangle ABC have the following sides AB = 12 cm, AC = 15 cm, CB = 21 cm. Triangle PQR have the following sides: PQ = 4 cm, RQ = 7 cm. What is the length of side PR?
Ans
X 1. 3 cm
X 2. 12 cm
3. 5 cm
X 4. 15 cm
Q.108 An electric bulb is connected to a 220 V generator. The current is 0.50 A. What is the power of the bulb?
Ans
X 1. 10 W
X 2. 1000 W
X 3. 1 W
4. 100 W
Q.109 If 'c' is the velocity of light, then the refractive index of a medium in which light travels with velocity 'v' is given by:
Ans
X 1. μxc
2. μx / c
X 3. μc / x
X 4. x / μc
Q.110 The Table given below represents the ages of students in a private music school. What is the average age of the students?
Ans
1. approximately 22 years
X 2. approximately 15 years
X 3. approximately 20 years
X 4. approximately 26 years
Q.111 The inner and outer diameters of ring 1 of a dartboard are 15cm and 17 cm respectively and those of ring 11 are 12 cm and 13 cm respectively. What is the total area of these two rings?
Ans
1. 89cm²
X 2. 25cm²
X 3. 34cm²
X 4. 106.85cm²
Q.112 Two circles have radius in the ratio 4:3, write a polynomial to express the combined total surface area of the two circles.
Ans
X 1. 12πx²
X 2. πx²
3. 25πx²
X 4. 7πx²
Q.113 A constant force of 100 N is applied on an object for 5 seconds. Find the velocity of the object acquired by it in m/s.
Ans
X 1. 12
2. 6
X 3. 9
X 4. 8
Q.114 Simplify the given expression:
32, 16+8(96, 12)-8
Ans
X 1. 68
2. 58
X 3. 54
X 4. 64
Q.115 A car has two wipers which do not overlap. Each wiper has a blade of length 18 cm sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. Take π = 22/7
Ans
X 1. 196.5 cm²
2. 712.8 cm²
X 3. 356.4 cm²
X 4. 188.2 cm²
Q.116 Three blocks of masses m1, m2 and m3 are connected by massless strings as shown in figure on a frictionless table. They are pulled with a force F = 40 N. If m1 = 10 kg, m2 = 6 kg and m3 = 4 kg, then tension T2 will be
Ans
X 1. 20 N
X 2. 40 N
X 3. 10 N
4. 32 N
Q.117 Light year is the unit of a quantity whose unit can also be
Ans
X 1. second
X 2. kg
X 3. square metre
4. Angstrom
Q.118 ABCD is a diameter of a circle of radius 12 cm. The lengths AB, BC and CD are equal. Semi-circles are drawn on AB and BD as diameters as shown in the given figure. Find area of the shaded region.
Ans
1. 48π cm²
X 2. 84 cm²
X 3. 24 cm²
X 4. 96 cm²
Q.119 Magnetic field lines being more crowded towards the pole of a magnet indicates that the magnetic field due to the magnet in that region is
Ans
X 1. the weakest
X 2. the outcome of a property of a ferromagnetic substance
X 3. aligned with the magnetic field of earth
4. the strongest
Q.120 If x = a³ + bt + ct², where x is metres and t in seconds, then the unit of a is
Ans
X 1. ms⁻¹
X 2. m²s
X 3. m³s⁻²
4. m⁻³
Q.121 For a point object placed at a distance of 10 cm from a convex mirror, the image is formed at 5 cm. What is the focal length?
Ans
X 1. 4f
X 2. f/4
3. 2f
X 4. f/2
Q.122 Dispersive power of the material of a prism is 0.0221. If the deviation produced by it for yellow colour is 38°, then the angular dispersion between red and violet colours is
Ans
1. 0.84°
X 2. 0.65°
X 3. 0.48°
X 4. 1.26°
Q.123 What is the value of (2 - 3i) + (3 + 5i)
Ans
1. 5-2i
2. 6-2i
3. 6-15i
4. 5+2i
Q.124 A man walks 6 km towards north and turns left and walks 2 kms towards West. If he has started from point Z and reached point A, then what is the shortest distance between point Z and A.
Ans
1. 2√5 km
2. √10 km
3. 2√10 km
4. √15 km
Q.125 Two tuning forks have frequencies 200 Hz and x. When they are sounded together 4 beats / sec are heard. The value of x is
Ans
1. 196 Hz or 204 Hz
2. 200 Hz only
3. 205 Hz or 201 Hz
4. 200 Hz or 198 Hz
Q.126 What would be the area of the triangle with A(8, 8), B(22, 8) and C(16, -10) as vertices?
Ans
X 1. 129 sq. units
X 2. 128 sq. units
3. 126 sq. units
X 4. 118 sq. units
Q.127 The length and the cross-sectional area of a conductor in the shape of a cylinder are 'f' and '4' respectively. The resistivity of the material of the conductor is 'p'. Its resistance depends upon (p) only (q) and d (r) p, l and d (s) p and f, but not d. Pick up the right option from those given above.
Ans
X 1. (p)
2. (r)
X 3. (s)
X 4. (q)
Q.128 A trading website states 40% of its customers prefer to buy that particular stock, what is the probability that a customer will not prefer to buy stock?
Ans
X 1. 0.1
2. 0.6
X 3. 0.8
X 4. 0.4
Q.129 What would be the value of 0.53 (recurring)
Ans
1. 53/90
2. 48/99
3. 24/45
4. 53/99
Q.130 If a spherical mirror is immersed in a liquid, its focal length will
Ans
X 1. decrease
X 2. depend on the nature of liquid
X 3. increase
4. remain unchanged
Q.131 If two hemispheres of curved surface area 8π cm² each are joined together to form a sphere. What is the volume of the sphere so formed in cm³?
Ans
X 1. 4π
X 2. 16π
3. 32π/3
X 4. 8π
Q.132 In an arithmetic progression the 1st term is 7 and the third term is 28, what is the second term?
Ans
1. 17.5
X 2. 10
X 3. 8
X 4. 18
Q.133 What is the quadratic equation whose roots are 5 and 2?
Ans
X 1. x² + 14 + 10 = 0
X 2. x² - 14x + 10 = 0
3. x² - 7x + 10 = 0
X 4. x² + 7x + 10 = 0
Q.134 Pick the rational number from the given options
Ans
X 1. e
X 2. π
X 3. √3
4. √64
Q.135 The relation between acceleration due to gravity (g) and universal gravitational constant (G) is given by;
Ans
X 1. G = gM / R²
X 2. R = GM / g
3. g = GM / R²
X 4. M = gGR²
Q.136 An automobile that is towing a trailer is accelerating on a level road. The force that the automobile exerts on the trailer is
Ans
1. equal to the force the trailer exerts on the automobile
X 2. greater than the force the trailer exerts on the automobile
X 3. equal to the force the trailer exerts on the road
X 4. equal to the force the road exerts on the trailer
Q.137 A spring when compressed by 4 cm has 2 J energy stored in it. The force required to extend it by 8 cm will be
Ans
X 1. 2 N
X 2. 20 N
X 3. 2000 N
4. 200 N
Q.138 Find the zeros of the function f(x) = (x - 17)(x - 7)
Ans
X 1. 0, -7
X 2. 2, 7
3. 17, 7
X 4. -17, -7
Q.139 The quantity of motion of a body is best represented by
Ans
X 1. its velocity
X 2. its speed
X 3. its mass
4. its linear momentum
Q.140 A pump is required to lift 600 kg of water per minute from a well 25m deep and to eject it with a speed of 50 m/s. If g = 10 m/s², the power required to perform the above task is
Ans
X 1. 20 kW
2. 13.75 kW
X 3. 10 kW
X 4. 22.5 kW
Q.141 The dimensional formula of speed is
Ans
1. [MLT⁻¹]
2. [MLT⁻¹]
3. [MLT⁻¹]
4. [MLT⁻²]
Q.142 What is the area in sq. cm. of the triangle with a base of 8 cm and sides of length 6 cm each?
Ans
X 1. 16√5
X 2. 16
3. 8√5
X 4. 4√5
Q.143 What is the missing term in this A.P?
2, 25, ?, 71
Ans
1. 43
2. 38
3. 36
4. 48
Q.144 Find the quadratic equation with real coefficients which has (-5 - i) as a root.
Ans
1. x² - 26x - 10 = 0
2. x² + 10x + 26 = 0
3. x² - 26x + 10 = 0
4. x² - 10x - 26 = 0
Q.145 Divide (-10x + 50) / (x - 5) when x ≠ 5
Ans
1. x¹(x - 5)
2. -10
3. x³(-10x)
4. x⁴10(x - 5)
Q.146 What would be the point which divides the line segment connecting the points P(10, 18), Q(5, 8) in the ratio 2:3 internally
Ans
1. (9, 15)
2. (7, 12)
3. (8, 14)
4. (8, 12)
Q.147 Atom bomb is based on the principle of
Ans
1. nuclear fission
2. nuclear fusion
3. atomic energy imbalance
4. atomic mass conservation
Q.148 A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 30° with the ground. The distance between the foot of the tree to the point where the top touches the ground is 18 m. find the height of the tree (in metres).
Ans
1. 24√3
2. 9
3. 9√3
4. 18√3
Q.149 A long sighted person has a least distance of distinct vision of 50 cm. He wants to reduce to 25 cm. He should use a
Ans
1. concave lens of focal length 25 cm
2. convex lens of focal length 50 cm
3. concave lens of focal length 50 cm
4. convex lens of focal length 25 cm
Q.150 An echo is heard after 0.6 s when a boy fires a cracker, 99 m away from a tall building then the speed of sound is
Ans
1. 165 m/s
2. 330 m/s
3. 340 m/s
4. 350 m/s
Q.151 If three particles, each of mass M are placed at the three corners of an equilateral triangle of side a, the force exerted by this system on another particle of mass M placed at the midpoint of a side is
Ans
X 1. 4GM²/3a²
2. 4GM²/3a²
X 3. 2GM²/3a²
X 4. 2GM²/5a²
Q.152 What would be the value of sin(75°)
Ans
1. (√2 - √3) / 2
2. (2 + √3) / 2
3. (2 - √3) / 2
4. (√2 + √3) / 2
Q.153 Two masses is now filled with a liquid of specific gravity 3. The gravitational force will now be:
Ans
1. F/3
2. F/9
3. 3F
4. F
Q.154 What would be the value of cos(105°)
Ans
1. (1 - √3) / 2√2
2. (1 - √3) / √2
3. (1 + √3) / 2√2
4. (1 - √3) / 2
Q.155 What would be the result of the following expression
(sec²x + tan²x) / (sin²x + 1) = ?
Ans
1. 0
2. 1/sin²x
3. -cos²x
4. 1/cos²x
Q.156 Which of the following mirrors is used by doctors to focus a parallel beam of light on the patient's organs like teeth for the examination?
Ans
1. Convex mirror
2. Plano-convex mirror
3. Plane mirror
4. Concave mirror
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