RRB ALP Physics & Maths 22 Jan 2019 Official Paper (Shift 3) (Previous Year Paper)

The distance from a point on a thread to the corresponding point on the next thread of a screw is called ______.

If a + b = 12 and ab = 32, then a² + b² = ?

Find the odd set of letters from the given alternatives.

Which of the following acts as an interface between the CPU and the main memory?

Birju Maharaj is a renowned virtuoso in which dance form?

Find the mean of the range and the mode of the given data.

4, 6, 11, 17, 18, 3, 11, 21, 5, 11

Given below are two statements, followed by two conclusions, I and II. You have to consider the statements to be true even if they seems 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 minutes are seconds.

Statement 2: No seconds are hours

Conclusion I: No hours are seconds.

Conclusion II: Some minutes are hours.

Where is the head office of State Bank of India, located?

The average age of a family of 6 members is 25 years with the youngest member being 8 years old. What was the average age (in years) of the family just before the birth of the youngest member?

One Coulomb charge is equal to the charge of about ______ electrons.

A _______ is a line from a note or radial dimension that ends in an arrowhead pointing at the edge of the feature.

Length-to-height ratio of a closed filled arrow head is:

Choose the correct option from the given ones to complete the given series.

6.8, 5.5, 4.2, 2.9, ?, 0.3

A cubical block with sides 10 cm, having a mass of 600 g, flouts in fresh water. How much of the block's volume is submerged in the water?

When two bodies are in thermal contact, heat flow will occur between them if they differ in ______.

In a code language, 517 means ‘sheep gives wool’, 173 means ‘sheep gives milk’, 395 means ‘wool and milk’. Find the code for ‘and’.

The value of \(\frac{1}{{1; + ;\sqrt 2 }} + \frac{1}{{\sqrt {2;} ; + ;\sqrt 3 }}\) is closest to:

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

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

4/5 ∶ 0.8 ∶∶ 5/8 ∶ ?

The volume of a given amount of water ______ when its temperature is increased from 0°C to 4°C.

If COWARD is coded as XLDZIW, then how will HEN be coded as?

What is the area of the parallelogram whose base is 5 cm and corresponding height is 6 cm?

If 4/9 ∶ x = 2/3 ∶ 16/81, then x = ?

Ideal machines are those imaginary machines which are ______.

In general, battery capacity is written in ______.

Which type of drawing uses symbols to represent components, constructs, or relationships in a drawing?

A, B, C and D are sitting around a round table. C does not want to sit next to B. D is to the right of C. Which of the following statements is FALSE?

What is the work required to increase the speed of a 0.4 kg ball from 1 m/s to 3 m/s?

The SI unit of potential difference is ______.

Identical taps can fill a tank in 10 hours respectively. How many taps will be required to fill the tank in 4 hours in the presence of a leak that can empty full tank in 4 hours?

ΔOPQ is similar to ΔRST. If the ratio of OP : RS is 3 : 5 and if PQ = 6 cm, then the length of ST is: 

A certain sum amounts to Rs. 1,323 in 2 years and to Rs. 1389.15 in 3 years at r% p.a. when the interest is compounded yearly. What is the value of r?

A car, starting from rest, is moving with a constant acceleration 3 m/s². Find the distance travelled by this car in 10 s.

Choose the correct option from the given ones to complete the given series.

XW, TS, PO, LK, ?

If E % F means E is the father of F, E & F means E is the sister of F, and E $ F means E is the wife of F, then what does the equation P $ R % S & Q mean if R has only one daughter?

Two trains start moving towards each other when they are 2,500 m apart. The first train is travelling at a speed of 15 m/s and the other one, at 10 m/s. After how much time will they meet?

A girl of mass 40 kg climbs up a rope through a height of 6 m in 16 s. The power expended by her is ______. (Take g = 10 m/s²)

The oxides of carbon, nitrogen and sulphur that are released on burning fossil fuels are ______.

Find the odd word from the given alternatives.

What is the midpoint of the line segment joining (-2, -1) and (-5, -3)?

Which of these musicians was NOT a part of the famous rock band The Beatles? 

An object starts from rest at x = 0 m and t = 0 s. It moves with constant acceleration 4 m/s² along x axis. What is its average velocity between time 2 s and 6 s?

A statement is given followed by some conclusions which are given as option. Choose the conclusion that logically follows from the given statement/s.

Statement: Road accident numbers are halved if number of traffic police is doubled

Two village women M and N start walking from the same point. M walks 4 km west, then turns left and walks 2 km. Meanwhile N walks 6 km south, then turns west and walks 4 km, then turns left and walks 1 km. Where is N with respect to M?

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

12 + 3 × 4 – 6 = ?

An object travels the first 200 m in 20 s and the next 200 m in 30 s. The average speed of the object is ________.

An object travels the first 200 m in 20 s and the next 200 m in 30 s. The average speed of the object is ______.

Fossil fuels are ______ sources of energy.

The Hornbill Festival, also known as 'the Festival of Festivals', is celebrated in which Indian state?

______ is an improvement on WEP used in Wi-Fi networks.

______ is a technology that allows computers and other devices to communicate via a wireless signal.

Given below is statement followed by two conclusion numbered I and II. You have to assume everything in the statement to be true and decide which of them logically follow(s) from the statement beyond a reasonable doubt from the information given in the statement.

Statement: In all developing countries, population is increasing. All developing countries are facing shortage of drinking water.

Conclusion I: In all developing countries, if population decreases, then per person availability of drinking water will rise if availability of drinking water is fixed.

Conclusion II: In some developing countries, population could be decreasing, yet they will have shortage of drinking water.

20% of 125% of 160 = ?

In practice, the work output of a machine is always less than the work input due to the effect of ______.

A current of 2 A is drawn by the filament of an electric bulb for 2 min. Find the amount of electric charge that flows through the circuit.

A ball, initially at rest, falls freely from the top of a building and reaches a maximum velocity of 40 m/s. Find the height of the building. (Use acceleration due to gravity, g =10 m/s²)

An object with a specific mass will weigh ______.

A and C can do a work in 12 days while A, B and C can do the work in 4 days. In how many days can B do the work alone?

Choose the figure which is different from the rest.

The change of state from ice to water is accompanied by ______.

If I = J means I is the daughter J, I – J means I is father of J and I * J means I is the mother of J, then which of the following options shows that G is the father of F?

The sum of twice of a whole number and 7 times its reciprocal is 15. The number is:

Two resistors, each of 10 Ω, are connected in parallel. This combination is then connected in series with a third 10 Ω resistor and a 6 V battery. The current in the circuit is ______.

You are given a question and two statements. Identify which of the statement is/are necessary/sufficient to answer the question.

Question: What is woman’s age?

Statements:

I) She is 3 years younger than her husband, who will become 40 years old after 5 years.

II) She was 20 years old when she gave birth to her son who is now 12 years old.

What is the difference between HCF and LCM of 184 and 345?

What is the diameter of a circle if the area is 154 cm²? (Take π = 22/7)

The boiling and freezing points of water are exactly ______ degrees apart on the Fahrenheit scale.

Which of these scientists is NOT linked with the invention of television? 

The simple interest on a sum of ₹ 1,000 for 2 years at 5% p.a. is invested at compound interest for 4 years at the same interest rate. What is the compound interest on the simple interest?

How many schedules are currently there in the Constitution of India?

Which of these organisations is NOT a United Nations specialized agency?

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

Lion : Meat ∷ Cow :  ?

152° Fahrenheit is equal to ______ °Celsius.

A village girl walks 3 km east starting from her home in search of water. She then turns south and walks 2 km, then she turns east and walks 7 km, then she turns to her left and walks 2 km. Where is her home with respect to her position now?

A quadrilateral with equal sides, whose angles are NOT right angles, is known as:

If x is the greatest 4-digit number that is divisible by 237, then the sum of digits of x is:

Two resistors, one of 8 Ω and the other of 24 Ω are connected in parallel. This combination is connected in series with a 14 Ω resistor and a 12 V battery. The current in the 8 Ω resistor is:

The SI unit of heat energy transferred is expressed in ______.

Which of the following Venn diagrams best represents the relationship between tables, chairs and lamps?

Hose A and B can fill a pool in 5 and 10 minutes respectively. After 2 minutes, hose B gets blocked. How much time hose A take to fill the remaining pool?

Given below are two statements, followed by three conclusions, I, II and III. You have to consider the statements to be true even if they seems to be a variance with commonly known facts. You have to decide which of the given conclusions, if any, follow(s) from the given statements.

Statement I: All polymers are plastic.

Statement 2: No rubber is plastic

Conclusion I: Some polymers are rubber

Conclusion II: Some plastics are polymer.

Conclusion III: No polymer is rubber.

Density of ice is ______ compared to density of water.

In which years did India win the ICC Cricket World Cup (Men's ODI)?

How much heat should be transferred to a 100 g block of silver to raise its temperature by 40 °C? (Specific heat of silver is 236 Jkg^-1K^-1)

A cylindrical wire of length L and radius r has a resistance R. The resistance of another wire of same material but having four times its length and half its radius will be:

Vikram Seth is best known for his poem ______.

In the following figure, square represents therapists, triangle represents Geneticists, circle represents yoga practitioners and rectangle represents Fathers. Which set of letters represents yoga practitioners who are fathers?

In class 1 levers, effort and load moves in ______.

4/5^th of a piece of cloth was used to make ribbons of length 100 cm. What was the length of the cloth at the beginning?

What is the unit digit of 3⁶⁸ × 4⁷³ × 15¹⁰¹ ?

Find the median of the given data.

11, 12, 13, 14, 5, 7, 9, 6, 4, 1

Choose the figure which is different from the rest.

The mass of an object is a numerical measure of its ______.

A styrofoam sheet of thickness 5 cm and area 0.25 m² has a temperature difference of 40°C between its inner and outer surfaces. The rate of heat flow through the sheet [thermal conductivity is 0.01 J/(s m K)] is:

If both mass and speed of a ball are doubled, the kinetic energy becomes ______ times.

The efficiency of a simple machine is defined as ______.

The day of the week on March 6, 1989 was:

An article was sold for ₹ 945, at a loss of 10%. What was the cost price of the article?

An article was marked for ₹ 2,500. Had a discount of 10% been offered, a profit of 12.5% would have been made. What was the cost price?

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

6 - 2 × 4 ÷ 10 + 5 = 6

The thermal coefficient of linear expansion of a material is \(\propto\). Then the thermal coefficient of its volume expansion will be

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

The distance between A(5, 8) and B(4, -6)

In a triangle ΔABC AB = 13 cm, BC = 84 cm, and ∠B = 90°, then length of AC will be

In which quadrant do the point (-16, 9) lies 

The series 1/3, 5/6, 4/3, 11/6,…… is in

Which of the following is not the SI base unit?

The radius of a circle is 25 cm and the length of one of its chords is 48 cm, the distance of the chord from the centre will be

If point C is equidistant from A (5, -6) and B (7, 8) co-ordinate of C will be

A ball is thrown vertically upwards with initial velocity \(V_0\) and returns to its starting point in 6 seconds then the initial velocity with which the ball was thrown will be

A capacitor of capacitance 800 pF is charged by an electric source of 100 V. The electrostatic energy stored by the capacitor is nearly

Value of 23 - 5 × 17 + 85 ÷ 17 + 120

Value of sin (60° + x) + sin(60° - x) = ?

The ratio of molar specific heat capacities (Cp/Cv) for a mole of diatomic (rigid) gas molecules is:

An object is made to move with a uniform speed such that the magnitude of its velocity remains constant with its direction of motion continuously changing with time. Then, the unbalanced force acting on the object will be in the direction.

An electric motor has a power rating of 3.3 kw. If its motor turns at a rate of 120 rev/min the torque of the shaft of the electric motor required for the purpose will be nearly

Which one of the following cannot be the square of a natural number?

Which of the following is a quadratic equation?

Two lights waves having intensities in the ratio of 9 : 4, produce interference. Then the ratio of maximum to minimum intensities in the resulting interference pattern will be

Two dice are thrown, what is the probability getting sum of number on both dice divisible by 7?

If 4x + 8 = 7, then x – 3 = ?

Circles having equal radii are called:

Dirt can be removed from a carpet by shaking it vigorously for some time in a process that is based on

Sound travels fastest in the medium

An object of mass m follows a circular path of radius r with a constant speed v in uniform circular motion. Then, the work done by the centripetal force for the object to move once in a full circle is

Kirchoffs first rule of any junction of several circuit element in an electric circuit is based on the law of conservation of:

Surface area of the Sphere is: 

The radiant energy of the sun results from the process of

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

Which of the following is not an irrational number 

Value of sin 26°/cos64°

Two objects A and B of masses 4 kg and 6 kg are acted upon by the forces \(F_1\) and \(F_2\) required to accelerate them at 7 \(m/s^2\) and 4 \(m/s^2\) respectively. Which of the following relationships between the force \(F_1\) and \(F_2\) holds true for the required purpose?