RRB ALP and Technician 2018 Recruitment has 2 stages of computer based test. The article RRB ALP Relevant Trade Questions makes an attempt to present the different types of questions that can be expected for the Relevant Trade Questions section of CBT Stage 2. Below mentioned are the details.
S.No | Sections | No. of Questions | Time allocated |
---|---|---|---|
1 | Mathematics | 100 | 90 minutes |
2 | General Intelligence and Reasoning | ||
3 | Basic Science and Engineering | ||
4 | General awareness on current affairs |
Part B
This test would be of 60 minutes duration consisting of 75 questions.
This part is qualifying in nature and shall have questions from the trade syllabus prescribed by Director General of Employment & Training (DGET). Candidates holding Degree, Diploma and HSC (10+2) having eligibility for the posts of ALP have to select relevant trade from the list of trades listed against their engineering discipline/HSC (10+2).
The trade syllabus can be obtained from the DGET website. The relevant trades for various engineering discipline/HSC (10+2) for appearing in the qualifying test is as below:
Click Here – For DGET website
S.No | Engineering Discipline(Diploma/Degree) | Relevant trade for PART B Qualifying Test to be selected from |
---|---|---|
1 | Electrical Engineering and combination of various streams of Electrical Engineering |
Electrician / Instrument Mechanic / Wiremen /Winder(Armature) / Refrigeration and Air Conditioning Mechanic |
2 | Electronics Engineering and combination of various streams of Electronics Engineering |
Electronics Mechanic / Mechanic Radio & TV |
3 | Mechanical Engineering and combination of various streams of Mechanical Engineering |
Fitter / Mechanic Motor Vehicle / Tractor Mechanic / Mechanic Diesel / Turner / Machinist / Refrigeration and Air Conditioning Mechanic/ Heat Engine / Millwright Maintenance Mechanic |
4 | Automobile Engineering and combination of various streams of Automobile Engineering |
Mechanic Motor Vehicle / Tractor Mechanic / Mechanic Diesel / Heat Engine / Refrigeration and Air Conditioning Mechanic |
5 | HSC(10+2) with Physics and Maths |
Electrician / Electronics Mechanic / Wireman |
Answer: Option (b)
Explanation:
I=V/R. Total resistance = 20+40=60ohm. I=120V. I=120/60=20A.
2. The resistivity of the conductor depends on
Answer: Option (c)
Explanation:
The resistivity is a property of material, defined as the resistance between two opposite faces of a cube of a material of unit volume. That is why resistivity is only the unique property of material and it does not depend upon the dimension of any piece of material.
3. The resistance of a conductor of diameter d and length l is R Ω. If the diameter of the conductor is halved and its length is doubled, the resistance will be
Answer: Option (d)
Explanation:
As per law of resistance, the resistance of the conductor is inversely proportional to its cross-sectional area i.e. it is inversely proportional to the square of the diameter of cross-sectional area of the conductor. As per same law of resistance, the resistance of the conductor is directly proportional to the length of the conductor.
4. How many coulombs of charge flow through a circuit carrying a current of 10 A in 1 minute?
Answer: Option (c)
Explanation:
1 Ampere current means flowing of 1 Coulomb charge per second. That means 10 A current in 1 minute or 60 seconds implies 10 × 60 = 600 coulombs.
5. A capacitor carries a charge of 0.1 C at 5 V. Its capacitance is
Answer: Option (a)
Explanation:
The capacitance of a capacitor is expressed by Q/V. Where Q is the charge of the capacitor and V is the voltage across the capacitor.
6. To obtain a high value of capacitance, the permittivity of dielectric medium should be
Answer: Option (c)
7. Four capacitors each of 40 µF are connected in parallel, the equivalent capacitance of the system will be
Answer: Option (a)
Explanation:
The impedance of a capacitor is inversely proportional to its capacitance value. Reciprocal of equivalent impedance of parallel connected circuit elements is sum of reciprocal of impedance of each of the elements.
8. Instantaneous power in inductor is proportional to the
Answer: Option (a)
Explanation:
The instantaneous voltage across the inductor is expressed as the product of inductance and rate of change of current through it. Power is expressed as the product of current and voltage. Hence instantaneous power in an inductor is proportional to the product of instantaneous current and rate of change of current through it.
9. If all the elements in a particular network are linear, then the superposition theorem would hold, when the excitation is
Answer: Option (c)
Explanation:
Superposition theorem can be applied for both AC as well DC excitation to calculate the voltage or current calculations. It holds for both DC and AC excitation, if the circuit is linear. But superposition theorem is not applicable for power calculations.
10. In balanced bridge, if the positions of detector and source are interchanged, the bridge will still remain balanced. This can be explained from which theoem
Answer: Option (a)
Explanation:
When response to excitation is constant even though we interchange the excitation and responses then the reciprocity theorem is verified for the given network.
11. If field current is decreased in shunt dc motor, the speed of the motor
Answer: Option (b)
Explanation:
As a shunt field current If decreases, φ also decreases and the speed rises as speed is inversely proportional to flux.
12. What is the shunt resistance component equivalent circuit obtained by no load test of an induction motor representative of?
Answer: Option (b)
Explanation:
No load loss consists of core loss, friction and windage loss and no load copper loss. But shunt branch resistance Rc in the induction motor equivalent circuit does not represent the no load losses, it represents only the core loss of the induction motor.
13. Eddy current loss will depends on
Answer: Option (d)
14. The emf induced in the dc generator armature winding is
Answer: Option (a)
Explanation:
The emf induced in the dc generator armature winding is AC, but we need DC current from DC generator, so to convert this AC current to DC current mechanical rectifier called as commutator is used.
15. Commutator in DC generator is used for
Answer: Option (d)
Explanation:
Commutator is used as mechanical rectifier in DC machines. It converts AC armature current in to DC current.
16. Length of the cable is doubled, its capacitance C will be
Answer: Option (c)
Explanation:
The length of the cable and the capacitance of the cable are directly proportional to each other. Hence, if the length gets doubled, then the capacitance also can be doubled.
17. Which of the following rotor is used in thermal power plants?
Answer: Option (a)
Explanation:
Cylindrical rotor is also called as round rotor or smooth rotor, there is no projection, there closed portions contain field winding which is distributed and unslotted portion also acts as poles. It has large axial length and small diameter, resulting high peripheral speed. As the air gap is uniform throughout the machine it is more suitable for high speed operation, employed in all thermal, nuclear power plants containing turbo alternators with two or maximum 4 poles only.
18. Lowest critical frequency is due to pole and it may be present origin or nearer to origin, then it is which type of network?
Answer: Option (c)
Explanation:
In RC network lowest critical frequency is due to pole and it is at origin or nearer to origin depending on the value of the capacitance value and transfer function.
19. Which system is also known as automatic control system?
Answer: Option (b)
Explanation:
Control system in which the output has an effect upon the input quantity in order to maintain the desired output value are called closed loop control system. The open loop system can be modified as closed loop system by providing a feedback. The provision of feedback automatically corrects the changes in output due to disturbances. Hence the closed loop control system is also called as automatic control system.
20. By using which of the following elements, mechanical translational systems are obtained?
Answer: Option (d)
Explanation:
The model of mechanical translational systems can be obtained by using three basic elements mass, spring and dash-pot. These three elements represents three essential phenomena which occur in various ways in mechanical systems.
21. Which devices used to measure the temperature of an object?
Answer: Option (c)
Explanation:
A thermometer is a device that measures temperature or temperature gradient.
22. For audio frequency applications, the popular oscillator used is
Answer: Option (a)
Explanation:
Characteristics like ease of tuning, very low distortion and good frequency stability of Wien bridge oscillator makes it becomes popular for audio frequency applications. Phase shift oscillator and Wien bridge oscillator both can be used as audio frequency range. But Wien bridge oscillator can be used for very wide frequency range.
23. Which of the following is not a sinusoidal oscillator?
Answer: Option (c)
Explanation:
Relaxation oscillator is basically a non-sinusoidal oscillator which is used to generate square, triangular or pulse waveforms. The rest of the oscillators are sinusoidal oscillators producing sinusoidal output.
24. Relaxation Voltage controlled oscillators are used to generate
Answer: Option (d)
Explanation:
Relaxation VCOs can be employed to generate both triangular and saw-tooth waveforms.
25. In an electric room heat converter the method of heating used is
Answer: Option (c)
Explanation:
An electric room heat converter is a heater which operates by air covection currents ciculating through the body of the appliacne and across its heating elements. The resistance heating is provided to it. This heats up the air, causing it to increase it to increase in volume and so become buoyant and rise.
Answer: Option (c)
Explanation:
Explanation: From the given equation, there are M+N delays, so it requires M+N number of delay elements and it has to perform M+N+1 multiplications, so it require that many number of multipliers.
2. The system represented by the following direct form structure is:
Answer: Option (d)
Explanation:
The output of the system according to the direct form given is
y(n)= b0x(n)+b1x(n-1)+b2x(n-2)
Since the output of the system is purely dependent on the present and past values of the input, the system is called as FIR system.
3. Which of the following should be done in order to convert a continuous-time signal to a discrete-time signal?
Answer: Option (a)
Explanation:
The process of converting a continuous-time signal into a discrete-time signal by taking samples of continuous time signal at discrete time instants is known as ‘sampling’.
4. The process of converting discrete-time continuous valued signal into discrete-time discrete valued(digital) signal is known as:
Answer: Option (b)
Explanation:
In this process, the value of each signal sample is represented by a value selected from a finite set of possible values. Hence this process is known as ‘quantization’
5. The difference between the unquantized x(n) and quantized xq(n) is known as:
Answer: Option (d)
Explanation:
Quantization error is the difference in the signal obtained after sampling i.e., x(n) and the signal obtained after quantization i.e., xq(n) at any instant of time.
6. Which bit coder is required to code a signal with 16 levels?
Answer: Option (b)
Explanation:
To code a signal with L number of levels, we require a coder with (log L/log 2) number of bits. So, log16/log2=4 bit coder is required.
7. What is the spectrum that is obtained when we plot |ck| as a function of frequency?
Answer: Option (a)
Explanation:
We know that, Fourier series coefficients are complex valued, so we can represent ck in the following way.
ck=|ck|[latex]e^\text{jθk}[/latex]
When we plot |ck| as a function of frequency, the spectrum thus obtained is known as Magnitude voltage spectrum.
8. Which of the following is used in the realization of a system?
Answer: Option (d)
Explanation:
From each set of equations, we can construct a block diagram consisting of an interconnection of delay elements, multipliers and adders.
9. Computational complexity refers to the number of:
Answer: Option (d)
Explanation:
Computational complexity is one of the factor which is used in the implementation of the system. It refers to the numbers of Arithmetic operations (Additions, multiplications and divisions).
10. Which of the following refers the number of memory locations required to store the system parameters, past inputs, past outputs and any intermediate computed values?
Answer: Option (c)
Explanation:
Memory requirements refers the number of memory locations required to store the system parameters, past inputs, past outputs and any intermediate computed values.
11. From the given circuit below, we can conclude that.
Answer: Option (c)
Explanation:
According to figure, both the LED is glowing, which indicate that circuit is complete in both the half cycle of a.c. signal.
Therefore Emitter and Base junction will act as short circuit in both direction, which indicate transistor is faulty.
12. A pole zero pattern of a certain filter is shown in figure. This filter must be
Answer: Option (d)
Explanation:
In transfer function, no of zeros = no. of poles, hence it is all pass fliter.
13. At room temperature the current in an intrinsic semiconductor is due to
Answer: Option (d)
Explanation:
Intrinsic material has equal number of holes and electrons.
14. In which of these is reverse recovery time nearly zero?
Answer: Option (c)
Explanation:
In schottky diode there is no charge storage and hence almost zero reverse recovery time.
15. Which of the following is used for generating time varying wave forms?
Answer: Option (d)
Explanation:
Its output is used to trigger SCR.
16. The voltage across a zener diode
Answer: Option (b)
Explanation:
Zener diode is always reverse biased.
17. Which one most appropriate dynamic system?
Answer: Option (a)
Explanation:
Because present output of y(n) depend upon past y(n – 1) and future y(n + 1).
18. A voltage V(t) is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt2. If it is measured by a dc meter. The reading will be
Answer: Option (a)
Explanation:
DC meter reads mean value.
19. If 60 J of energy are available for every 15 C of charge, what is the voltage?
Answer: Option (c)
20. The negative and positive charge symbols are assigned (in that order) to the:
Answer: Option (b)
21. An atom’s atomic number is determined by the number of:
Answer: Option (a)
22. Which resistive component is designed to be temperature sensitive?
Answer: Option (a)
23. In a TV receiver the colour killer:
Answer: Option (a)
24. Solution to the blind speed problem is to
Answer: Option (b)
25. The Doppler frequency increases as the target
Answer: Option (a)
26. The bandwidth of a radar receiver is inversely proportional to the
Answer: Option (a)
27. A TR tube is used
Answer: Option (b)
28. The parabolic reflector antenna are generally used to
Answer: Option (b)
29. After a target has been acquired the best scanning system for tracking is
Answer: Option (c)
30. Microwave links repeaters are typically 50KM apart
Answer: Option (c)
31. One of the following is not used as a microwave mixer or detector
Answer: Option (d)
32. The Doppler frequency increases as the target
Answer: Option (a)
33. Primary batteries, unlike secondary batteries, may be:
Answer: Option (c)
34. If the current in a circuit equals 0 A, it is likely that the
Answer: Option (d)
35. Which part of an atom has no electrical charge?
Answer: Option (d)
Answer: Option (a)
2. Two waves of the same frequency have opposite phase when the phase angle between them is
Answer: Option (b)
3. The best place to install a capacitor is
Answer: Option (b)
4. Inductance affects the direct current flow
Answer: Option (c)
5. The double energy transient occur in the
Answer: Option (d)
6. The absolute thermodynamic temperature scale is also known as
Answer: Option (b)
Explanation:
It was proposed by Kelvin.
7. In defining the temperature scale, the standard reference point is taken as
Answer: Option (c)
Explanation:
Triple point of water is taken as the standard reference point.
8. If the temperature of intake air in internal combustion engine increases, then its efficiency will
Answer: Option (b)
9. The operation of forcing additional air under pressure in the engine cylinder is known as
Answer: Option (c)
10. The mean effective pressure obtained from engine indicator indicates the
Answer: Option (d)
11. The probability of knocking in diesel engines is increased by
Answer: Option (d)
12. In compression ignition engines, swirl denotes a
Answer: Option (b)
13. Supercharging is the process of
Answer: Option (a)
14. The property of a material by which it can be beaten or rolled into thin plates, is called
Answer: Option (a)
Explanation:
A material can be beaten into thin plates by its property of malleability.
15. The materials which have the same elastic properties in all directions, are called
Answer: Option (a)
Explanation:
Same elastic properties in all direction are called the homogenity of a material.
16. What kind of elastic materials are derived from a strain energy density function?
Answer: Option (c)
Explanation:
The hyper elastic materials are derived from a strain energy density function. A model is hyper elastic if and only if it is possible to express the cauchy stress tensor as a function of the deformation gradient.
17. What is the effect of increased carbon content on chilled cast iron?
Answer: Option (b)
18. Rosettes of tempered carbon in the matrix of ferrite are observed in the microstructure of
Answer: Option (c)
19. Pump transfers input mechanical energy of an engine, into ___
Answer: Option (c)
20. Low-torque high-speed motors are used in
Answer: Option (c)
21. In which of these pumps, swash plate is replaced by cylinder block?
Answer: Option (a)
22. In axial piston pump, the yoke is pushed away from cylinder block due to which
Answer: Option (a)
23. Which type of body is an airfoil?
Answer: Option (a)
24. The highest point of syphon is called as
Answer: Option (b)
25. The cylindrical portion of short length, which connects converging and diverging section of venturimeter, is called as
Answer: Option (c)
26. Which cutting condition affects the cutting temperature predominantly?
Answer: Option (b)
27. Which fixtures are used for machining parts which must have machined details evenly spaced?
Answer: Option (c)
28. Several machine tools can be controlled by a central computer in
Answer: Option (c)
29. In which process the material is removed due to the action of abrasive grains?
Answer: Option (b)
30. What is the ratio of amplitude of response to that of the input called?
Answer: Option (b)
31. The type of memory which is fast and temporarily stores the data which are immediately required for use is called as
Answer: Option (c)
32. Data acquisition of all the physical quantities in the real world is done in
Answer: Option (a)
33. What are the factors affecting selection of casting process?
Answer: Option (c)
34. Which belt conveyor prevents sliding down of material at an inclination of 55o with horizontal?
Answer: Option (c)
35. The angle between normal stress and tangential stress is known as angle of __
Answer: Option (c)
Answer: Option (b)
Explanation:
It holds the fuel air mixture during engine cycle.
2. Connecting rods are generally of the following form
Answer: Option (a)
Explanation:
Connecting rods are generally of forged I-section type.
3. The purpose of crankcase ventilation is to
Answer: Option (b)
Explanation:
Crankcase ventilation removes vaporised water and fuel.
4. The escape of burned gases from the combustion chamber past the pistons and into the crankcase is called
Answer: Option (b)
Explanation:
Blow by is the surging of burned gases from combustion chamber into the crankcase.
5. Piston compression rings are made of
Answer: Option (a)
Explanation:
Cast iron is used for piston compression rings.
6. The purpose of a piston pin is that
Answer: Option (d)
Explanation:
Piston pin connects the piston to the connecting rod.
7. Passenger car engines contain
Answer: Option (a)
Explanation:
These type of engines contain 2 compression ring and 1 oil control ring.
8. The plate which acts as a packing between cylinder block and cylinder head is called
Answer: Option (c)
Explanation:
Gasket forms the packing between cylinder block and cylinder head
9. Which one of the following is a type of Gasket
Answer: Option (d)
Explanation:
All the three are various types of gaskets.
10. The opening and closing of a valve is respectively done by
Answer: Option (a)
Explanation:
An engine valve is opened by a cam and closed by a spring.
11. A relief valve is fitted to the main oil gallery of an engine. The purpose of this valve is to
Answer: Option (a)
Explanation:
Relief valve limits the maximum oil pressure.
12. Which of the following is not a part of the transmission system
Answer: Option (c)
Explanation:
Wheels are considered a part of the automobile chassis.
13. The loads supported by an automobile frame are
Answer: Option (c)
Explanation:
Supporting all the above mentioned loads is a basic function of an automobile frame.
14. What are ‘Wings’ of a vehicle
Answer: Option (b)
Explanation:
Spoilers located at the rear of a vehicle are known as Wings.
15. The central portion of the wheel is called
Answer: Option (c)
Explanation:
The central portion of the wheel is called ‘hub’.
16. ‘Volkswagen Polo’ is a
Answer: Option (b)
Explanation:
Volkswagen Polo is a sub-compact car.
17. Which of these is a compact executive car
Answer: Option (c)
Explanation:
Audi A4 is a compact executive car.
18. What is actual power delivered by the engine known as?
Answer: Option (c)
Explanation:
The power delivered by the engine is called brake power.
19. The force that opposes the motion of a vehicle is
Answer: Option (d)
Explanation:
Rolling resistance, gradient resistance and air resistance all oppose the motion of a vehicle.
20. Rolling resistance doesnot depend on which of the following factors
Answer: Option (b)
Explanation:
Rolling resistance does not depend on radius of driving wheel.
21. The value of coefficient of air resistance for average cars is approximately equal to
Answer: Option (c)
Explanation:
For average cars, value of coefficient of air resistance is approx 0.0032.
22. A heat engine converts heat energy from fuel combustion or any other source into which type of work
Answer: Option (b)
Explanation:
A heat engine gives mechanical work as output.
23. Thermal power plants operate on which of these cycles
Answer: Option (b)
Explanation:
Thermal power plants operate on Rankine cycle.
24. The efficiency of a combined cycle gas turbine(steam cooled) can range as high as
Answer: Option (d)
Explanation:
A steam cooled combined cycle gas turbine can have efficiency as high as 60%.
25. The material known as high carbon high copper chrome silicon cast steel is used for making
Answer: Option (a)
Explanation:
Material used for making camshafts is high carbon high copper chrome silicon cast steel.
26. Crankshafts are usually constructed by
Answer: Option (b)
Explanation:
Drop forging is used for making crankshafts.
27. The main causes of crankshaft vibration are
Answer: Option (d)
Explanation:
Crankshaft vibration is caused by all the above mentioned causes.
28. In an automobile engine the temperature of the piston will be more at
Answer: Option (a)
Explanation:
The crown of the engine experiences the highest temperature.
29. Ignition advance is expressed in terms of
Answer: Option (d)
Explanation:
Ignition advance can be expressed in terms of any of the following.
30. In internal combustion engine the approximate percentage of the combustion heat that passes to the cylinder walls is
Answer: Option (c)
Explanation:
Approximately 30% of heat passes to the cylinder walls.
31. A single cylinder four stroke engine is rotating at 2000 rpm. The number of power strokes occuring in one minute is
Answer: Option (b)
Explanation:
For every two revolutions one cylse is completed in a four stroke engine. If speed is 2000 rpm then number of complete cycles per minute is 1000.
32. In a four stroke engine each cylinder has
Answer: Option (b)
Explanation:
A four stroke engine cylinder has one intake and one exhaust valve.
33. In a diesel engine the fuel injection pressure is in the range
Answer: Option (a)
Explanation:
The pressure of fuel injection is very high for a diesel engine
34. The device used to measure the clearance between the valve and tappet of an IC Engine is
Answer: Option (a)
Explanation:
A Feeler gauge is used to measure the clearance.
35. On modern four stroke engines the exhaust valve opens just
Answer: Option (c)
Explanation:
Exhaust valve opens before the piston reaches Bottom Dead Centre.
Answer: Option (b)
2. Who proposed the ‘Wave Theory’ of light?
Answer: Option (a)
3. If a bar magnet is broken into two pieces, then
Answer: Option (c)
4. Why does a corked bottle filled with water break when frozen
Answer: Option (d)
5. Wood is the primary raw material for the manufacture of:
Answer: Option (b)
6. Spondylitis is a disease that affects:
Answer: Option (c)
7. What is the chemical name of laughing gas?
Answer: Option (d)
8. The filament of an electric bulb is made up of which material?
Answer: Option (a)
9. Diamond is an allotropic form of:
Answer: Option (b)
10. The mass on any substance liberated from an electrolyte is directly proportional to the quantity of charge passing through the solution.
Answer: Option (b)
11. The value of Avogadro’s constant is?
Answer: Option (a)
12. Which one of the following is the correct unit of angular velocity?
Answer: Option (d)
13. The maximum displacement of a vibrating body from its mean position is called?
Answer: Option (c)
14. The Kinetic energy of a body depends upon?
Answer: Option (d)
15. The term ‘Squirrel cage’ is associated with?
Answer: Option (d)
16. A swimmer finds it easier to swim in sea water than in plain water, why?
Answer: Option (c)
17. The temperature on the surface of the sun is about?
Answer: Option (c)
18. As a train approaches us, the frequency or shrillness of its whistle increases. The phenomenon is explained by?
Answer: Option (b)
19. The load on a spring per unit deflection is called?
Answer: Option (c)
20. Which one of the following is a major constituent of petrol?
Answer: Option (b)
21. The sound waves in the audible range have frequencies in the range of?
Answer: Option (a)
22. The term EURO-II in the context of modern cars refers to?
Answer: Option (a)
23. Particles which can be added to the nucleus of an atom without changing its chemical properties are :
Answer: Option (c)
24. “Soap helps in the cleaning of cloths because “
Answer: Option (a)
25. “Which waves are used in sonography “?
Answer: Option (d)
26. When the matter is cooled to very low temperature, it will form “
Answer: Option (b)
27. The types of waves produced in a sonometer wire are
Answer: Option (b)
28. Stationary waves of frequency 300 Hz are formed in a medium in which the velocity of sound is 1200 m/s. The distance between a node and the neighbouring anti node is
Answer: Option (a)
29. In a stationary longitudinal wave, nodes are points of
Answer: Option (d)
30. If the ratio of the amplitudes of two waves is 4 : 3, then the ratio of maximum and minimum intensity is
Answer: Option (d)
Explanation:
[latex]\frac{I_Max}{I_Min} = \left(\frac{\frac{4}{3}+1}{\frac{4}{3}-1}\right)^2 = \frac{49}{1}[/latex]
31. Which is used in designing ships and submarines?
Answer: Option (b)
32. Masses of stars and galaxies are usually expressed in terms of:
Answer: Option (b)
33. Which of the following is a scalar quantity?
Answer: Option (c)
34. Light year is a unit of
Answer: Option (c)
35. The absorption of ink by blotting paper involves
Answer: Option (a)
Answer: Option (b)
Explanation:
The two numbers will be 4*6 =24 and 7*6=42. The LCM of 24 and 42 will be 168
2. The ratio of two numbers is 3:4 and their sum is 560. What is the larger number
Answer: Option (b)
Explanation:
Here 3x+4x=560 or x=80 and the larger number is 320
3. Vacancies for Engineers, Diploma and Artisan were in the ratio of 5:7:8 and it was decided to increase by 40, 50 and 75%. What will be the revised ratio
Answer: Option (c)
Explanation:
Let x be the HCF of the existing ratio that the vacancies were 5x, 7x and 8x. Now with the increase, it will become (5x+2x), (7x+3.5x) and 8x+6x) and HCF of these numbers will now become 2:3:4
4. An old man gave away 1/5th of his property to Ram, 1/3rd of the remaining to Shyam and 1/2 of the remaining to Geeta. How much part he is left?
Answer: Option (a)
Explanation:
Let he has x amount of which he gives x/5 to Ram, left 4x/5 and gave 1/3 of this shyam i.e. 4x/15 and left with 8x/15 of which he gave 4x/15 to Geeta and thus left with 4x/15.
5. The condition that does not satisfy the condition of their being congruent is
Answer: Option (b)
Explanation:
If all the three angles are same, it need not be congruent as the sides can be unequal.
6. What is the relation to find the diagonals of a polygons with number of side as ‘n’
Answer: Option (d)
Explanation:
The relation is given as n(n-3)/2
7. Pythagorean triplets are
Answer: Option (a)
Explanation:
Pythagoras triplets are given for any natural number m which is greater than one
8. 6 pipes can fill the tank in 1 hour and 20 minutes. How much time in minutes it will take it to fill by 5 pipes.
Answer: Option (c)
Explanation:
6 pipes take 80 minutes than one pipe will take 6*80=480 and five pipe 480/5=96 minutes
9. A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in
Answer: Option (b)
Explanation:
Capacity of A is 1/15 and B is 1/10. Work completed in 5 days is 1/3+1/2=5/6 and 1/6 is remaining which will be completed by A in 15/6 days i.e. 2.5 days
10. By what percentage the interest amount received after six year is more as compared to the amount after five years on Rs. 1000/- compounded at an interest of 10% is given by
Answer: Option (a)
Explanation:
Every year the interest is on the accumulated amount consisting of principle and interest and thus it will gain by the interest rate given.
11. Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108 m3, find the number of hours it will take to fill the reservoir
Answer: Option (d)
Explanation:
108 m^3 is 108*10^3 liters and time taken will be by dividing this number by 60 and answer will be in minutes which shall be divided by 60.
12. The height of a triangular base pyramid is 12 m with base area as 24 m. What will be volume of the triangular pyramid in cubic meter?
Answer: Option (a)
Explanation:
Area of triangular pyramid is given by 1/3(Base Area)*height
13. What least value should be replaced by * in 223*431 so the number become divisible by 9
Answer: Option (a)
Explanation:
Number is divisible by 9, if sum of all digits is divisible by 9, so (2+2+3+*+4+3+1) = 15+* should be divisible by 9,
15+3 will be divisible by 9,
So that least number is 3.
14. What is the largest 4 digit number exactly divisible by 88
Answer: Option (d)
Explanation:
Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 – 55 = 9944
15. Simplfy b – [b -(a+b) – {b – (b – a+b)} + 2a]
Answer: Option (d)
Explanation:
b-[b-(a+b)-{b-(b-a+b)}+2a]
=b-[b-a-b-{b-(2b-a)}+2a]
=b-[-a-{b-2b+a}+2a]
=b-[-a-{-b+a}+2a]
=b-[-a+b-a+2a]
=b-[-2a+b+2a]
=b-b
=0
16. 2.09 can be expressed in terms of percentage as
Answer: Option (c)
Explanation:
While calculation in terms of percentage we need to multiply by 100, so
2.09 * 100 = 209.
17. A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Answer: Option (b)
Explanation:
Number of runs made by running = 110 – (3 x 4 + 8 x 6)
= 120 – (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50 %
18. If the cost price is 25% of selling price. Then what is the profit percent.
Answer: Option (c)
Explanation:
Let the S.P = 100
Then C.P. = 25
Profit = 75
Profit% = 75/25 * 100 = 300
19. A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item
Answer: Option (d)
Explanation:
Here always remember, when ever x% loss,
It means S.P. = (100 – x) % of C.P
When ever x% profit,
it means S.P. = (100 + x)% of C.P
So here will be (100 – x) % of C.P.
= 80% of 1200
= 80/100 * 1200
= 960
20. Rs. 120 are divided among A, B, C such that A’s share is Rs. 20 more than B’s and Rs. 20 less than C’s. What is B’s share
Answer: Option (b)
Explanation:
Let C = x. Then A = (x—20) and B = (x—40).
x + x – 20 + x – 40 = 120 Or x=60.
A: B: C = 40:20:60 = 2:1:3.
B’s share = Rs. 120*(1/6) = Rs. 20
21. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Answer: Option (c)
Explanation:
Let the third number be x.
First Number (120/100)*x = 6x/5
Second Number (150/100)*x = 3x/2
Ratio = 6x/5:3x/2
=> 4:5
22. In a mixture 60 litres, the ratio of milk and water 2: 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is
Answer: Option (d)
Explanation:
Quantity of Milk = 60*(2/3) = 40 liters
Quantity of water = 60-40 = 20 liters
As per question we need to add water to get quantity 2:1
=> 40/(20+x) = 1/2
=> 20 + x = 80
=> x = 60 liters
23. A can do a piece of work in 4 hours. A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. In how many hours B can complete the work?
Answer: Option (b)
Explanation:
Work done by A in 1 hour = 1/4
Work done by B and C in 1 hour = 1/3
Work done by A and C in 1 hour = 1/2
Work done by A,B and C in 1 hour = (1/4)+(1/3) = 7/12
Work done by B in 1 hour = (7/12)–(1/2) = 1/12
=> B alone can complete the work in 12 hour
24. Evaluate [latex] \sqrt{{248}+\sqrt{64}}[/latex]
Answer: Option (c)
Explanation:
=[latex] \sqrt{{248}+\sqrt{64}}[/latex]
=[latex] \sqrt{248+8}[/latex]
=[latex] \sqrt{256}[/latex]
= 16
25. Find the sum of first 30 natural numbers
Answer: Option (c)
Explanation:
Sum of n natural numbers = [latex]\frac{n(n+1)}{2}[/latex]
= [latex]\frac{30(31)}{2}[/latex]
= 465