RRB Group D PYP Practice Test 2

1. (136 ÷ 17) + (17 × 13) – (103 – 85) × (62 + 145) ÷ 23 = ?

A. 75

B. 67

C.59

D. 76

Solutions

Using BODMAS we get,

⇒ (136 ÷ 17) + (17 × 13) – (103 – 85) × (62 + 145) ÷ 23,

⇒ 8 + 221 – 18 × 207 ÷ 23

⇒ 8 + 221 – 18 × 9

⇒ 8 + 221 – 162⇒ 67

2. An electric lamp of 120 W is used for 8 hours per day. Calculate the units of energy consumed by the lamp in one day.

A. 16.00 unit

B. 1.50 unit

C. 0.96 unit

D. 2.00 unit

Solutions

Given data

⇒ Rated value of the electric lamp (P) = 120 watts

⇒ Amount of time the lamp is being used = 8 hours/day

⇒ t = 8 h

We know that, Power(P) = E/t

Where ‘P’ is power in watts and ‘E’ is energy consumed in watt-hours and ‘t’ is time.

Substituting the values in the equation above,

120 = E/8

E = 960 Watt-Hours

E = 0.96 kWh or units. (1 Kilo Watt Hour = 1 unit)Hence, the energy consumed by the lamp in 1 day (E) = 0.96 units

3. In which year was the Battle of Waterloo fought?

A. 1835

B. 1815

C. 1850

D. 1840

Solutions

The Battle of Waterloo was fought between the French army commanded by Napoleon Bonaparte and the British army led by the Duke of Wellington in 1815.
The Battle of Waterloo is considered one of the most dreadful battles in history. In this war, the Duke of Wellington defeated Napoleon Bonaparte.
Napoleon surrendered in front of British forces after a few months. He was sent to St. Helena where he died in 1821.

4. Which of the following does NOT belong to this group?

Cotton
Wool
Rayon
Cardboard

A. D

B. B

C. C

D. A

Solutions

Cotton, wool and rayon are fibres but Cardboard is not a fibre.

Hence, “Cardboard” is the correct answer.

5. Two resistors, one of 10 Ω and the other of 20 Ω. are connected in series to a 6 V battery. The current in the circuit will be?

A. 0.3 A

B. 0.2 A

C. 0.9 A

D. 0.6 A

Solutions

As the Resistors are connected in series the equivalent resistance will be –

R_eqv = R₁+ R₂

= 10 Ω + 20 Ω

= 30 Ω

According to Ohm’s law –

→ V = IR

→ I = V/R

→ I = 6/30 = 1/5 [V = 6 V given]→ I = 0.2 A

6. If ‘+’ becomes ‘÷’ and ‘× ×’ becomes ‘+’ then what will be the value of {(36 + 6) + 6} × 12?

A. 12

B. 6

C. 13

D. 21

Solutions

Given expression: {(36 + 6) + 6} × 12

After changing the symbols:

{(36 ÷ 6) ÷ 6} + 12

= {6 ÷ 6} + 12

= 1 + 12 = 13

Hence, “13” is the correct answer.

7. In what time can Saloni cover a distance of 450 m, if she runs at a speed of 20 Km/hr.?

A. 81 sec

B. 320 sec

C. 320 sec

D. 102 sec

Solutions

⇒ Speed = 20 km/hr = 20 × (5/18) = 50/9 m/sec

⇒ Distance = 450 m⇒ Time = distance/speed = 450/(50/9) = 81 sec

8. A merchant incurred a loss of 5% by selling a book for Rs. 25.65. If he sells it for Rs.31.05 , find his gain percent or loss percent.

A. Gain 15%

B. Loss 15%

C. Gain 10%

D. Loss 10%

Solutions

⇒ Loss% = {1 – (Selling price/Cost price)} × 100

⇒ 5 = {1 – (25.65/Cost price)} × 100

⇒ 5 = 100 – (2565/Cost price)

⇒ Cost price = 2565/95 = Rs. 27

Now,

⇒ Selling price = Rs. 31.05

⇒ Profit % = {(Selling price – Cost price)/Cost price} × 100⇒ Profit % = {(31.05 – 27)/27} × 100 = 15%

9. Consider the following statement and assumptions and decide which of the assumptions is implicit from the given statement.

Statement:

The school management has introduced compulsory swimming sessions for children below Class V.

Assumptions:

1.The school wishes to enhance the overall development of children.

2.Younger children learn swimming faster.

A. Both assumptions I and II are implicit

B. Neither assumption I nor II is implicit

C. Only assumption II is implicit

D. Only assumption I is implicit

Solutions

The statement given us no information to support the fact that younger children learn swimming faster. Hence assumption I is not implicit.

It is given in the statement school has made it compulsory for the children to learn swimming, this implies that the school is serious about the overall development of children. Hence, assumption II is also implicit.

10. Which of the following events is celebrated every year on January 9 to mark the contribution of the overseas Indian community in the development of India?

A. Unnatiya Bharat Divas (UBD)

B. Overseas Indian Development Day (OIDD)

C. Akhil Bharatiya Divas (ABD)

D. Pravasi Bharatiya Divas (PBD)

Solutions

Pravasi Bharatiya Divas is held traditionally on 9th January every year to commemorate the return of Mahatma Gandhi as a Pravasi from South Africa to India.
It also marks the contribution of the overseas Indian community in the development of India.
The 15^th Pravasi Bharatiya Divas 2019 was celebrated with the theme “Role of Indian Diaspora in building a New India.”

11. When the following decimals are arranged in ascending order then what decimal number should be in the middle?

5.74, 6.03, 0.8, 0.658 and 7.2

A. 6.03

B. 5.74

C. 7.2

D. 0.8

Solutions

When the numbers are arranged in ascending order we get,

0.658, 0.8, 5.74, 6.03, 7.2∴ The required decimal number is 5.74

12. If in a coded language, COCK is written as DPDL, then how will HEN be written in that language?

A. HEO

B. IDP

C. ICO

D. IFO

Solutions

Hence, “IFO” is the correct answer.

13. Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s).

Statements:

I. Some pins are metals.

II. Some clips are metals.

Conclusions:

I. Some metals are pins.II. Some pins are clips.

A. Both conclusions follow

B. Only conclusion 2 follows

C. Only conclusion 1 follows

D. Neither conclusion follows

Solutions

The minimum possible Venn diagram of the given statements,

Conclusions:

I. Some metals are pins → True

II. Some pins are clips → False (its possible but not definite)

Hence, only conclusion I follows.

14. How many rectangles are there in the following picture?

A. 20

B. 21

C. 22

D. 24

Solutions

We can count the rectangles as follows,

Hence, there are “24” rectangles in the given figure.

15. Find the value of {(.98)³ + (0.02)³ + 3 × 0.98 × 0.02 – 1}

A. 1.98

B. 1.09

C. 1.562

D. 0

Solution

Given:

{(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1}

Concept used:

(a + b)3 = a3 + b3 + 3ab(a + b)

Calculation:

{(.98)³ + (0.02)³ + 3 × 0.98 × 0.02 – 1

⇒ [(.98)³ + (0.02)³ + 3 × 0.98 × 0.02(0.98 + 0.02)} – 1]

Now, first term is of the form (a + b)3 where a = .98 and b = 0.02

⇒ (0.98 + 0.02)³ – 1 = 1 – 1 = 0

∴ The value is 0.

16. The 2018 best tableau award in the republic day parade was given away by Union Defence Minister Nirmala Sitharaman to the state of:

A. Karnataka

B. Goa

C. Maharashtra

D. Gujarat

Solutions

Union Defence Minister of India Nirmala Sitharaman gave away Republic Day Parade 2018 best tableau award to Maharashtra.
Tripura bagged the best state tableau in 2019 Republic Day parade With the theme ‘Empowering Rural Economy the Gandhian Way’.
The second position was bagged by Jammu and Kashmir while the state of Punjab was placed in the third spot.
India celebrated the 69^th republic day this year and Cyril Ramaphosa, President of South Africa was the chief guest for this year republic day parade.

17. Which one of the following is NOT a simple permanent tissue?

A. Sclerenchyma

B. Parenchyma

C. Xylem

D. Collenchyma

Solutions

Xylem and Phloem are Complex Permanent Tissue while the other three are simple permanent tissues.

Xylem	Xylem is the tissue that carries water up through a plant. It is made up of vessels or tracheids, xylem parenchyma, and xylem fiber.
Sclerenchyma	Sclerenchyma is the simple permanent tissue that makes a plant hard and stiff.
Parenchyma	Parenchyma are thin-walled tissues which are involved in food storage, photosynthesis, and other activities of plant life.
Collenchyma	Collenchyma cells are those which have irregularly thick cell walls which provide support and structure.

18. sin² 60° + cos² 30° + cot² 45° + sec² 60° = ?

A. 15/2

B. 13/2

C. 7/2

D. 5/2

Solutions

Important trigonometric values

Calculation:

sin² 60° + cos² 30° + cot² 45° + sec² 60° = (√3/2)² + (√3/2)² + 1² + 2²

⇒ (3/4) + (3/4) + 1 + 4

⇒ 13/2

∴ 13/2

19. Read the given question and decide which of the following equations is/are sufficient to answer the question.

Question:

What is the value of x?

Equations:

1. x² – 18x + 81 = 0

2. p + q + r = 0

A. Only 1 is sufficient

B. Either 1 or 2 is sufficient

C. Neither 1 nor 2 is sufficient

D. Only 2 is sufficient

Solutions

Equation 1:

⇒ x² – 18x + 81 = 0

⇒ (x – 9)² = 0

⇒ x = 9, 9

∴ Equation 1 is sufficient

Also, equation in Statement 2 is not in variable x so it is not relevant

∴ Only Statement 1 is sufficient.

20. The pH of the solution is given. Which of the solutions has the highest concentration of hydrogen ions?

A. 10.1

B. 4.7

C. 2.4

D. 8.0

Solutions

The pH level is a measure of the number of Hydrogen ions in a solution.
The lower the solution or compound on the pH scale, the higher will be the concentration of hydrogen ions.
Therefore the solution having a pH of 2.4 will have the highest concentration of hydrogen ions.
The pH scale ranges from 0 to 14.
A pH value of 7 is considered neutral, example – water and pH value > 7 is Basic > pH value < 7 is Acidic

21. A train crossed a 110 m long platform in 13.5 seconds and a 205 m long platform in 18.25 seconds. What was the speed of the train?

A. 72 km/h

B. 66 km/h

C. 69 km/h

D. 75 km/h

Solutions
Let the length of train be x m.

⇒ Speed of train = (length of platform + length of train)/time

According to question,

⇒ (110 + x)/ 13.5 = (205 + x)/18.25

⇒ (110 + x)/2.7 = (205 + x)/3.65

⇒ 401.5 + 3.65x = 553.5 + 2.7x

⇒ 0.95x = 152

⇒ x = 160⇒ Speed of train = (110 + 160)/13.5 = 20 m/sec = 20 × (18/5) = 72 km/hr

22. A cistern can be filled by two pipes A and B in 4 hours. When full, the tank can be emptied by a third pipe C in 8 hours. If all taps are turned on at the same time, the cistern will be full in?

A. 4 hours

B. 8 hours

C. 16 hours

D. 8/3 hours

Solutions

Pipe A and pipe B can fill the tank in 4 hours while pipe C can empty the tank in 8 hours.

Let the capacity of the tank be 8 units.

The units filled by pipe A and B in 1 hour = 8/4 = 2 units

The unit emptied by pipe C in 1 hour = 8/8 = 1 unit

∴ The unit filled by pipe A, B and C together in 1 hour = 2 – 1 = 1 unit⇒ Time taken by pipe A, B and C together to fill 8 units = 8 hours

23. Aadhya walks 500 m towards North and then turns left and walks 250 m, In which direction is she with respect to her initial position?

A. South-East

B. North-West

C. North-East

D. South-West

Solutions

Hence, Aadhya is in North-West direction with respect to her initial position.

24. In which of the following plants is the plant body NOT differentiated into roots, stem, and leaves?

A. Riccia

B. Chara

C. Marsilea

D. Spirogyra

Solutions

Spirogyras are filamentous algae that consist of thin unbranched chains of cylindrical cells while the other three are differentiated into roots, stems, and leaves.
Spirogyras can form masses that float near the surface of streams and ponds.
Spirogyra is also known as water silk and pond silk.
Algae Spirogyra was the first living cell observed under a microscope by Anton van Leeuwenhoek.

25. Consider the given statement and decide which of the following assumptions is/are implicit in the statement.

Statement:

“The final exams are getting near”, Rina reminded her daughters.

Assumptions:

She wants them to remember about their study schedule.

She wants them to give serious thought to their exams.

A. Both I and II are implicit.

B. Only II is implicit.

C. Neither I nor II is implicit.

D. Only I is implicit.

Solutions

From the given statement, we understand the following things: the word ‘reminded’ tells us that Rina ‘wants them to remember about their study schedule’ and because ‘the final exams are getting near’, she wants them to ‘give serious thought to their exams’. From this we can safely state that both the assumptions are implied.

26. The Central Government’s initiative aimed at bringing masses within the formal banking system is called:

A. Jan Bank Yojana

B. Jan Dhan Yojana

C. Jan Aadmi Yojana

D. Jan Rupaya Yojana

Solutions

The Pradhan Mantri Jan Dhan Yojana was launched on 28th August 2014 by Prime Minister Narendra Modi.
It also entered into the Guinness Book of World Record for having most bank accounts opened in one week.
The scheme sought to financially empower the poor by providing them access to the formal banking system.

27. In March 2018, who released Rs. 1,000 and 10 commemorative coins on the occasion of the Nabakalebara festival at a function held in Puri, Odisha?

A. The Governor of Odisha

B. The Chief Minister of Odisha

C. The Prime Minister of India

D. The President of India

Solutions

The President of India Ram Nath Kovind released Rs 1,000 and Rs 10 commemorative coins on the occasion of Nabakalebar festival.
The government had announced the release of the coins marking the festival which is a symbolic recreation of sibling deities — Lord Jagannath, Balabhadra and Devi Subhadra.
The commemorative coins were released at a function of Rashtriya Sanskrit Sansthan at Puri in Odisha

28. 4 + 4.44 + 44.4 + 4.04 + 444 – 20 = ?

A. 480.88

B. 472.88

C. 495.22

D. 577.2

Solutions

⇒ 4 + 4.44 + 44.4 + 4.04 + 444 – 20 = 480.88

29. In which group of the modern periodic table are halogens placed?

A. 16^th

B. 18^th

C. 1^st

D. 17^th

Solutions

The Halogens are the elements belonging to Group 17 in the periodic table.

Element Name	Symbol	Atomic Number
Fluorine	F	9
Chlorine	Cl	17
Bromine	Br	35
Iodine	I	53
Astatine	At	85

30. Senior IAS officer S Selvakumar has been appointed as the new chairman and managing director of _________ with effect from January 16, 2018.

A. The Development and Educational Communication Unit (DECU)

B. Security Printing and Minting Corporation of India Limited (SPMCIL)

C. The SHAR Centre

D. The Vikram Sarabhai Space Centre (VSSC)

Solutions

The government appointed senior IAS officer S Selvakumar as Chairman and Managing Director (CMD) of Security Printing and Minting Corporation of India Ltd (SPMCIL).
Mr. Selvakumar has replaced Mr. Anurag Agarwal.
The SPMCIL is responsible for producing coins, banknotes, postage stamps, non-judicial stamps, and other official documents.

31. A car covers a distance of 44 km using litres of petrol. What distance can the car cover using 1 litre of petrol?

A. 19 km

B. 16 km

C. 13 km

D. 15 km

Solutions

⇒ Distance covered using 234 litre = 44 km

⇒ Distance covered using 11/4 litres = 44 km

⇒ Distance covered using 1 litre = 44 × (4/11) = 16 km

32. Find the odd one out.

A. D

B. A

C. B

D. C

Solutions

Two lines are intersecting each other in figure A, B and C, but in figure D Both the lines are parallel to each other.

Hence, “D” is the odd one.

33. Which of the following hormones brings about changes in appearance seen in boys at the time of puberty?

A. Thyroxin

B. Testosterone

C. Animal hormone

D. Insulin

Solutions

Explanation:
- Testosterone is the hormone that develops male characteristics in the human body. When XY chromosomes meet, they form a male body. It is a hormone secreted by the male reproductive organ Testes.
- Testosterone plays a key role in the development of male reproductive tissues such as the testes and prostate, as well as promoting secondary sexual characteristics such as increased muscle and bone mass, and the growth of body hair.
Additional Information
- Insulin is a hormone secreted by the β cells of islets of Langerhans. Insulin is released into the bloodstream to lower down blood sugar levels and prevent hyperglycemia.
- Thyroxine: It is an endocrine secretion of the thyroid gland. The thyroid gland requires 120 microgram Iodine per day for the production of thyroxine It regulates the basal metabolic rate of the body.

34. Which of the following states emerged as overall champions of the first (inaugural) edition of Khelo India School Games (KISG) held from 31^st January to 8^th February 2018 at Indira Gandhi Indoor Stadium?

A. Haryana

B. Gujarat

C. Maharashtra

D. Uttar Pradesh

Solutions

The first Khelo India School Games was held in New Delhi where Haryana topped the overall medal tally with 102 medals- 38 gold and 26 silver.
Maharashtra won 110 medals (36 gold) and finished second while Delhi with 94 medals came third.
Sports Minister, Col Rajyavardhan Rathore presented the trophy to the top state Haryana.
The first Khelo India School Games were launched by Prime Minister Narendra Modi at Indira Gandhi Indoor Stadium in New Delhi.
It was introduced to revive the sports culture in India at the grass-root level.

35. From which Indian princely state did Velu Thampi Dalava hail? He is known for revolting against the British.

A. Chola Kingdom

B. Mysore Kingdom

C. Vijayanagaram

D. Travancore

Solutions

Velu Thampi Dalava was the ruler of the Indian kingdom of Travancore between 1802 and 1809.
He is best known to rebel against the British East India Company’s supremacy in India.

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

Glass : Transparent ∷ Wood : ?

A. Furniture

B. paint

C. Block

D. Opaque

Solutions

Here, analogy pair is Glass that is transparent and wood will be opaque.

Hence, “opaque” is the correct answer.

37. If two unequal masses possess the same kinetic energy, then the heavier mass has:

A. equal momentum

B. lesser momentum

C. greater momentum

D. Can’t say

Solutions

CONCEPT:

Kinetic energy (K.E): The energy possessed by a body by the virtue of its motion is called kinetic energy.

The expression for kinetic energy is given by:

EXPLANATION:

If two unequal masses possess the same kinetic energy, then the heavier mass has greater momentum. So option 3 is correct.

38. If 15 boys earn Rs. 750 in 5 days, then how much money 25 boys will earn in 6 days?

A. Rs. 960

B. Rs. 1500

C. Rs. 1200

D. Rs. 900

Solutions

Suppose 25 boys earn Rs. x in 6 days, then according to question,

⇒ (15 × 5)/750 = (25 × 6)/x

⇒ x = 1500∴ 25 boys will earn Rs. 1500 in 6 days

39. Which of the following compounds does NOT possess water of crystallization?

A. Gypsum

B. Washing soda

C. Copper sulphate

D. Baking soda

Solutions

The number of water molecules that combine chemically in definite molecular proportion, with the concerned salt in the crystalline state is known as the water of crystallization.
Baking soda does NOT possess water of crystallization while other three do so.

Compounds	Chemical Formula
Gypsum	CaSO₄·2H₂O
Washing soda	Na₂CO₃
Copper sulphate	CuSO₄
Baking soda	NaHCO₃

40. The velocity of a vertically thrown ball, with time, will be:

A. Downwards positive

B. Downwards negative

C. Upwards negative

D. Upwards positive

Solutions

The correct answer is Upwards positive.

Key Points

The velocity of a vertically thrown ball, with time, will be “up” in the positive direction.
Gravity pulls the ball down, and since that is the only force acting on the ball, neglecting air resistance, the acceleration is always 9.8 m/s² down or -9.8 m/s².

v(t) = v0 + at, so v(t) = v0 – 9.8t.

CONCEPT:

Velocity: The rate of change of position i.e. rate of displacement with time is called velocity.

EXPLANATION:

When the ball goes upwards the direction of the velocity of the ball and the direction of acceleration of gravity are in the opposite directions so the velocity of the ball will decrease until it reaches the top and stops momentarily.
Then from the peak position, the ball will start to descend downwards due to the acceleration due to gravity. Then the velocity becomes negative and increases in magnitude, showing the body is returning to the original position with positive acceleration.

Additional Information

The velocity and time are linearly proportional to each other which is the same as the equation of a straight line.
Therefore the correct velocity-time graph is

41. Given is a statement followed by two assumptions numbered I and II. Consider the statement and the following assumptions and decide which of the assumptions is/are implicit in the statement.

Statement:

Sustainability can be defined as the practice of meeting the needs of the current generation without degrading or destroying the natural resources (e.g. water, soil, biodiversity, oil, minerals.)

Assumptions:

Our lives and economies are dependent on natural capital, which is made up of these natural resources and natural services, and the energy provided by the sun.
Just as every investor knows, we should invest our capital and live off on the interest, it provides. To live sustainably, we need to do the same: protect our natural capital and live off our biological income.

A. Only assumption II is implicit.

B. Neither assumption I nor II is implicit.

C. Only assumption I is implicit.

D. Both assumptions I and II are implicit.

Solutions

The statement talks about the definition and process of sustainability and its concurrent practices. It also talks about the human capital is the underlying basis for all sustainable approaches. Hence assumption I follows. The last part of the statement also deals with the fact that sustainable practices should work “without degrading or destroying the natural resources.” Hence, assumption II follows too.

42. Which of the following Venn diagrams correctly represents the relationship between the given classes?

Wood

2.Table

3. cloth

Solutions

Table is made of wood and cloth is different.

Therefore, best possible venn diagram will be,

Hence, “3” is the correct answer.

43. If South becomes South-East, then what will North become?

A. South – West

B. North – East

C. South – East

D. North – West

Solutions

Hence, North become “north-west”.

44. Lata makes 20 kg paneer at home and sells it every morning. From one litre of milk, she makes 200 gms of paneer. The cost of a litre of milk is Rs. 40. How much money does she spend in procuring milk every day?

A. Rs. 3,000

B. Rs. 4,000

C. Rs. 2,000

D. Rs. 2,500

Solutions

⇒ Milk used to make 200 gms of panner = 1 litre

⇒ Milk used to make 20 kgs paneer = (20 × 1000/200) × 1 = 100 litre

⇒ Cost of 1 litre milk = Rs. 40

⇒ Cost of 100 litre Milk = 100 × 40 = Rs. 4000

45. If α and β are roots of the equation x² – x – 1 = 0, then the equation whose roots are α/β and β/α is:

A. x² + 3x – 1 = 0

B. x² + x – 1 = 0

C. x² – x + 1 = 0

D. x² + 3x + 1 = 0

Solutions

Given:

x2 – x – 1 = 0

Formula used:

If the given equation is ax² + bx + c = 0

Then Sum of roots = -b/a

And Product of roots = c/a

Calculation:

As α and β are roots of x² – x – 1 = 0, then

⇒ α + β = -(-1) = 1

⇒ αβ = -1

Now, if (α/β) and (β/α) are roots then,

⇒ Sum of roots = (α/β) + (β/α)

⇒ Sum of rrots = (α² + β²)/αβ

⇒ Sum of roots = [(α + β)² – 2αβ]/αβ

⇒ Sum of rrots = (1)² – 2(-1)]/(-1) = -3

⇒ Product of roots = (α/β) × (β/α) = 1

Now, then the equation is,

⇒ x² – (Sum of roots)x + Product of roots = 0

⇒ x² – (-3)x + (1) = 0⇒ x² + 3x + 1 = 0

46. If a + b + c = 2s, then [(s – a)² + (s – b)² + (s – c)² + s²] = ?

A. (s² – a² – b² – c²)

B. (s² + a² + b² + c²)

C. (a² + b² + c²)

D. (4s² – a² – b² – c²)

Solutions

⇒ [(s – a)² + (s – b)² + (s – c)² + s²],

⇒ (s² + a² – 2as) + (s² + b² – 2sb) + (s² + c² – 2sc) + s²,

⇒ 4s² + (a² + b² + c²) – 2s(a + b + c),

⇒ 4s² + a² + b² + c² – 4s²,⇒ a² + b² + c²

47. Find the odd one out.

A. B

B. C

C. D

D. A

Solutions

In figure A, B and C arrow is moving in a clockwise direction but in figure, D arrow is moving in an anticlockwise direction.
Hence, “figure D” is odd one out.

48. Consider the following statements to be true even if they seem to be at variance from commonly known facts and decide which of the conclusions logically follows from the statements.

Statements:

1. No glass is a paddle.

2. All paddles are brakes.

Conclusions:

1. All brakes are paddles.

2. Some brakes are paddles.3. No brake is glass.

A. Only conclusion 3 follows

B. Only conclusion 2 follows

C. All the three conclusions follow

D. Only conclusion 1 follows

Solutions

The minimum possible Venn diagram of the given statements,

Conclusions:

1) All brakes are paddles → False (it is possible but not definite)

2) Some brakes are paddles → True.

3) No brake is glass → False (it is possible but not definite)Hence, only conclusion 2 follows.

49. Which one of the following animals reproduce by budding and can also carry out regeneration?

A. Hydra

B. Plasmodium

C. Planaria

D. Yeast

Solutions

1. Hydra can reproduce by regeneration and budding.

2. In budding, initially buds appear as a small bulge. They further grow, and within 2-4 days they become fully-formed hydra. Then it detaches from the parent body.

3. In regeneration, regrowth of damaged or lost part takes place.

4. Hydra belongs to Phylum Coelenterata.

5. Yeast is a fungi and it reproduces asexually through budding.

6. Plasmodium is a protozoan and it has sexual cycle in mosquito and asexual cycle in humans. In asexual cycle it undergoes multiple fission.

7. Planaria reproduces asexually through regeneration. In fact it possess the highest power of regeneration.

50. If North-East becomes North, then what will East become?

A. South-East

B. North-East

C. North-West

D. South-West

Solutions

Here, axes are shifting 45 degrees in an anti-clockwise direction, hence, northeast would become north direction.

Similarly, the northeast will be there in place of the East.

Hence, East will become “North-East”

51. Karewas, a type of soil/deposit, is found in which Indian state?

A. Jammu and Kashmir

B. West Bengal

C. Rajasthan

D. Nagaland

Solutions

Karewas are lacustrine deposits (deposits in a lake) in the valley of Kashmir and in Bhadarwah Valley of the Jammu division of Jammu and Kashmir.
These are the flat-topped mounds that border the Kashmir valley on all sides. They are characterized by fossils of mammals and at places by peat. The various crops grown in this area are saffron, almond, apples, walnut, peaches, pears, cherry and plum.
Ling nut is grown in tropical and subtropical areas of West Bengal, Bihar and Jharkhand.

52. Choose the missing digit ‘x’ from the options given for the number 987×54, so that the number is completely divisible by 6.

A. 5

B. 3

C. 2

D. 1

Solutions

According to divisibility rule of 6, the number is divisible by 6 if it is divisible by 2 and 3 both. This number is divisible by 2, now

⇒ sum of digits of 987×54 = 9 + 8 + 7 + x + 5 + 4 = 33 + x

Now, this number is divisible by 3 if x = 0, 3, 6, 9

So,⇒ x = 3

53. Electric bulbs are usually filled with chemically-inactive gases like ________.

A. hydrogen

B. oxygen

C. nitrogen

D. chlorine

Solutions

Electric bulbs are usually filled with chemically-inactive gases like Argon and Nitrogen.

2. When a bulb is filled with an inert gas, it slows down the evaporation of the tungsten filament compared to operating it in a vacuum.

3. This allows greater temperatures and therefore greater efficacy with less reduction in filament life.

54. If the length and breadth of a rectangle are increased by 8% and 12% respectively, then by what percent does the area of that rectangle increase?

A. 22%

B. 24%

C. 20%

D. 20.96%

Solutions

Let the initial length and breadth of rectangle be l and b respectively

⇒ New length = l + 8% of l = 1.08l

⇒ New breadth = b + 12% of b = 1.12b

⇒ New area = 1.08l × 1.12b = 1.2096lb

⇒ Percentage increase = {(1.2096lb – lb)/lb} × 100 = 20.96%

55. Who classified elements based on atomic numbers?

A. Newlands

B. Mendeleev

C. Dobereiner

D. Moseley

Solutions

The correct answer is Moseley.

Key Points

1. Henry Moseley classified elements based on Atomic numbers.

2. In 1913 A.D. the English scientist Henry Moseley demonstrated, with the help of the experiments done using an X-ray tube, that the atomic number (Z) of an element corresponds to the positive charge on the nucleus or the number of protons in the nucleus of the atom of that element.

3. This revealed that ‘atomic number’ is a more fundamental property of an element than its atomic mass.

56. Who has been crowned Femina Miss India 2018?

A. Anukreethy Vas

B. Shreya Rao Kamavarapu

C. Sunaina Kamath

D. Meenakshi Chaudhary

Solutions

1.Tamil Nadu’s Anukreethy Vas was named Miss India 2018.

2. The 55^th Femina Miss India 2018 was held Mumbai.

3. Miss World 2017 Manushi Chhillar, crowned Anukreethy, who will go on to represent India at Miss World.

4. Haryana’s Meenakshi Chaudhary stood second and Andhra Pradesh’s Shreya Rao Kamavarapu ranked third. Malaika Arora and Irfan Pathan were among the judges.

57. A chemical reaction in which heat is generated is called a/an ________.

A. Endothermic reaction

B. exothermic reaction

C. combustion reaction

D. displacement reaction

Solutions

Endothermic reaction	1. An endothermic reaction is that in which heat is absorbed. 2. E. g – Melting of Ice, Evaporation of Liquids.
Exothermic reaction	1. An exothermic reaction is a reaction in which heat is released or generated. 2. E. g – Combustion of fuels, Thermite reaction.
Combustion reaction	1. Burning of any substance in the presence of Air/ Oxygen is called a Combustion Reaction. 2.E.g – Burning of coal or wood, Gasoline in cars
Displacement reaction	1. A reaction in which a more reactive element displaces a less reactive element from its compound. 2. Both metals and non-metals take part in displacement reactions. 3. E.g – Thermite Welding, Steelmaking.

58. Which of the following sport is Yuzvendra Chahal related to?

A. Tennis

B. Hockey

C. Shooting

D. Cricket

Solutions

1. Yuzvendra Chahal is a former chess player and an Indian Cricketer who represented India in both One day international and Twenty-20 Internationals

2. He plays for Royal Challengers Bangalore in the IPL and for Haryana in domestic cricket.

59. Who won the Filmfare Best Actor in a Leading Role (Male) award 2017?

A. Shahrukh Khan

B. Ranveer Singh

C. Aamir Khan

D. Ranbir Kapoor

Solutions

1.Aamir Khan won the best actor award at 2017 Filmfare awards for playing the character of Mahavir Singh Phogat in the movie Dangal.

2. The 1st Filmfare Awards were held on March 21, 1954, which honoured the best in Hindi cinema in 1953.

3. That year they were known as Clare Awards, after Clare Mendonca, a film critic of The Times of India who had died in the same year. The award for best actor was won by Dilip Kumar for his movie Daag.

64^th Filmfare Awards 2019
Best Actor	Ranbir Kapoor for Sanju
Best Actress	Alia Bhatt for Raazi
Best Director	Meghna Gulzar for Raazi
Critics Best Actor	Ranveer Singh for Padamavat
Best Film	Raazi
Critics Best Film	Andhadhun

60. Which of the following does NOT belong to this group?

1. Nail

2. Hair

3. Acne

4. Toe

A. A

B. D

C. B

D. C

Solutions

Nail, hair and toe are parts of the body and thus form a group whereas acne is a skin disease.

Hence, acne(C) does not belong to the group.

61. Find the next number in the following series.

16, 18, 22, 24, 28, 30,?

A. 25

B. 30

C. 27

D. 34

Solutions

Here, the pattern followed here is,

Hence, “34” is the correct answer.

62. Consider the given statements to be true even if they seem to be at variance with the commonly known facts and decide which of the given conclusions logically follow(s) from the statements.

Statements:

I. All covers are plastic.

II. All plastic are toxic.

Conclusions:

All toxic are covers.

2. All plastic are covers.

A. All the conclusions follow.

B. Only conclusion 2 follows

C. Only conclusion 1 follows

D. No conclusions follow

Solutions

The minimum possible Venn diagram of the given statements,

Conclusions:

All plastic are covers → False (it is possible but not definite)

All toxic are covers → False (it is possible but not definite)

Hence, “No conclusions follow”.

63. There are four numbers in a set. The mean of the three smallest numbers is 9, whereas the mean of the three largest ones is 11. What is the range of the data set?

A. 3

B. 6

C. 9

D. 5

Solutions

Let the four numbers be a, b, c and d in increasing order

⇒ Mean of the three smallest number = (a + b + c)/3

⇒ 9 = (a + b + c)/3

⇒ a + b + c = 27 —-(1)

Also,

⇒ Mean of the three largest numbers = (b + c + d)/3

⇒ 11 = (b + c + d)/3

⇒ b + c + d = 33 —-(2)

Subtracting equation 1 from equation 2, we get

⇒ d – a = 6

∴ The range of data set is 6.

64. The point where the entire weight of an object acts is known as the ________.

A. center of friction

B. center of area

C. center of gravity

D. center of pressure

Solutions

1. Centre of gravity is an imaginary point in a body of matter where the entire weight of an object acts.

2.This is sometimes useful in designing static structures (e.g., buildings and bridges) or tp predict the behavior of a moving body when it is acted on by gravity.

65.

A. -7

B. 7

C. -9

D. -8

Solutions

⇒ 22 – [23 – {24 – (27 + 5)}]

⇒ 22 – [23 – {24 – 32}]

⇒ 22 – [23 – (-8)]

⇒ 22 – [23 + 8]

⇒ 22 – 31

⇒ -9

66. If ‘+’ means ‘÷’, ‘÷’ means ‘-’, ‘-’ means ‘×’ and ‘× ‘means ‘+’, then what is the value of

80 + 20 ÷ 5 – 12 × 92

A. 28

B. 22

C. 36

D. 35

Solutions

Symbol	+	÷	–	×
Meaning	÷	–	×	+

Given expression:
80 + 20 ÷ 5 – 12 × 92
After changing the symbols: 80 ÷ 20 – 5 × 12 + 92= 4 – 5 × 12 + 92
= 4 – 60 + 92
= 96 – 60
= 36
Hence, 36 is the correct answer.

67. The weight of an object on the moon is how many times its weight on the earth?

A. times

B. times

C. 5 times

D. 6 times

Solutions

The mass of the moon is 1/100 times the mass of Earth and the radius of the moon is ¼ times the radius of the Earth.
As a result, the gravitational attraction on the moon is about one-sixth when compared to that of the Earth.
The weight of an object depends on the value of g, i.e. acceleration due to gravity.
Hence the weight of an object on the moon is 1/6^th of the weight on the Earth.

68. Find the number of squares in the following figure.

A. 22

B. 21

C. 23

D. 20

Solutions

Hence, “21” is the correct answer.

69. Which of the following option figures are combined to form the question figure?

Question figure

A. C, D and A

B. A and D

C. B, C and D

D. C and D

Solutions

Here, by combining A, C and D we can get the question figure, as following,

Hence, “C, D and A” is the correct answer.

70. The correct formula of calcium hydroxide is:

A. CaOH₂.

B. Ca₂OH

C. Ca(OH)₂

D. CaOH

Solutions

1.Calcium Hydroxide is Ca(OH)₂ which is also known as Slaked lime.

2. It is an inorganic compound.

3. It is a white powder or colorless crystal which is obtained when Quicklime (calcium oxide) is mixed with water.

4. It is used in the Cement Industry.

71. Name the book authored by K. R. Meera which raises pertinent questions about the politics of faithfulness and the price of idealism.

A. Gilletin

B. Nethromeelanam

C. The Gospel of Yudas

D. Aarachar

Solutions

1.The Gospel of Yudas is the book about the politics of faithfulness and the price of idealism written by K. R. Meera.

2. Aarachar and Nethromeelanam are also other famous novels written by K.R Meera.

72. In a class, there were 9 boys and some girls. In a test, the mean score obtained by the boys was 13 while that obtained by the girls was 15. If the overall average was 14.28, what was the total number of students in the class?

A. 24

B. 26

C. 27

D. 25

Solutions

Let the total number of girls be x.

⇒ Average marks of boys or girls = Total marks obtained/no. of boys or girls

Now,

⇒ Total marks obtain by Boys = 13 × 9 = 117

⇒ Total marks obtain by Girls = 15 × x = 15x

Now,

⇒ Total average = Total marks obtained/total students

⇒ 14.28 = (117 + 15x) / (9 + x)

⇒ 128.52 + 14.28x = 117 + 15x

⇒ 0.72x = 11.52

⇒ x = 16

⇒ Total number of students = 16 + 9 = 25

∴ There were 25 students in the class.

73. Mamata is the mother of Surya. How is Mamata’s brother related to Surya’s brother?

A. Grandfather

B. Father

C. Brother

D. Maternal uncle

Solutions

From the given information we can draw following family tree,

Clearly, Mamata’s brother is maternal uncle of Surya’s brother.

Hence, “Maternal uncle” is the correct answer.

74. The name of the comprehensive mentorship programme tailored exclusively for Indian startups that are using Machine Learning (ML) and Artificial Intelligence (AI) to build solutions for the pressing problems in the country is:

A. Launchpad Accelerator India

B. Modernization Accelerator India

C. Automation Accelerator India

D. MLAI Accelerator India

Solutions

1.Launchpad Accelerator India is a mentorship program launched in 2018 that would aim to support Indian startups that deploy artificial intelligence and machine learning to build solutions for local needs.

2. The three-month accelerator will provide a cohort of 8-10 Indian startups with the mentorship of Google.

3. The start-ups will also get up to $1,00,000 of Google Cloud credits.

75. A ray of light passes from water to glass. It bends ________.

A. Away from the normal and speeds up

B. Away from the normal and slows down

C. Towards the normal and slows down

D. Towards the normal and speeds up

Solutions

1. It is known that light ray that is travelling from a Rarer medium to a Denser medium will bend towards the normal at the point of incidence and conversely, a ray of light travelling from a Denser medium to the Rarer medium bends away from the normal.

2. Glass is denser than Water, therefore, a ray of light travelling from Water to Glass will bend towards the normal and slow down.

3. Glass has a higher refractive index than water. The refractive index of window glass is 1.52, and that of pure water is 1.33.

76. Which of the option figures bears the closest resemblance to the question figure?

Question figure:

A. B

B. A

C. D

D. C

Solutions

Here, if the question figure is rotated by 90° clockwise we get the figure in option D.

Hence, “D” is the correct answer.

77. A 40 kg girl runs up a flight of stairs having a rise of 5 m in 4 s. The power developed by her will be ________.

(take g = 10 m/s²)

A. 100 W

B. 200 W

C. 500 W

D. 2000 W

Solutions

→ Given data –

Mass, m = 40 kg

Height, h = 5m

Time, t = 4s

Work done, W = mgh

W = 40 × 10 × 5 [g = 10 m/s², given]

W = 2000 joules

→ Power, P = work done /time

P = 2000/4

P = 500 joule/sec

P = 500 W

78. If Rs. 686 is divided, into four parts, in proportions

then find the first part is:

A. Rs. 52

B. Rs. 42

C. Rs. 56

D. Rs. 48

Solutions

⇒ (1/2) ∶ (2/3) ∶ 3 ∶ 4 = 3 ∶ 4 ∶ 18 ∶ 24

⇒ First part = {3/(3 + 4 + 18 + 24)} × 686 = (3/49) × 686 = Rs. 42

79. The Election Commission of India (ECI) celebrated 8^th National Voters Day across the nation on ______ for enhanced participation of citizens in the electoral process.

A. 28^th January

B. 25^th January

C. 24^th January

D. 26^th January

Solutions

National Voters Day is celebrated on January 25 every year to encourage more young voters to take part in the political process.

It started from January 25^th, 2011 to mark the Commission’s foundation day.

The Election Commission of India (ECI) celebrated 8^th National Voters Day across the nation on 25^th January 2018 for enhanced participation of citizens in the electoral process.

80. Which is the longest river of Europe?

A. Danube

B. Volga

C. Ural

D. Rhine

Solutions

1.The Volga is the longest river in Europe.

2. It is the national river of Russia flowing at a distance of 2294 miles.

3. It originates in the Valdai Hills northwest of Moscow and discharges into the Caspian Sea. Out of the 20 largest cities of Russia, 11 are located in the river’s drainage basin.

4. It has two main tributaries named Kama and Oka.

5. The Danube is Europe’s second longest river, after the Volga and flows through 10 countries.

81. Find compound interest on Rs. 50000 at 12% per annum for 6 months, compounded quarterly.

A. Rs. 3045

B. Rs. 2875

C. Rs. 3125

D. Rs. 2965

Solutions

⇒ Compounded Amount = Principal × {1 + (rate%/4)}^{(4 × time)}

⇒ 50000{1 + (12/400)}^{{4 × (1/2)}}= 50000 × (103/100)² = Rs. 53045

⇒ Compound Interest = Amount – Principal = Rs. (53045 – 50000) = Rs. 3045

82. The Ministry of Women and Child Development had launched a social media campaign to mark ________ on 11 August 2016.

A. Women’s Day

B. Daughter’s Day

C. Son’s Day

D. Men’s Day

Solutions

1.The Women and Child Development Minister Maneka Gandhi launched a social media campaign to mark Daughters’ Day on August 11, 2016.

2.In this campaign, the entire week was celebrated as Daughters’ Week as part of the government’s ‘Beti Bachao, Beti Padhao’ programme to check female foeticide, improve sex ratio and educate girls across India.

83. The induced current is highest when the direction of motion of the coil is at ________ with respect to the magnetic field.

A. 0°

B. 45°

C. 180°

D. 90°

Solutions

1.The induced current is highest when the direction of motion of the coil is at 90° or perpendicular with respect to the magnetic field, as the flux cutting is maximum in this case.

2. While it is minimum when the direction of motion of the coil is at 180° or parallel with respect to the magnetic field, as here the flux cutting by the coil will be minimum.

84. Directions: Study the following graph carefully and answer the question that follows.

Area cultivated in West Bengal is what percentage more than that cultivated in Tamil Nadu?

A. 37.5%

B. 25%

C. 50%

D. 30%

Solutions

⇒ Area cultivated in West Bengal = 22%

⇒ Area cultivated in Tamil Nadu = 16%

⇒ Required % = [(22 – 16)%/16%] × 100 = 37.5%

85. Directions: The given pie chart shows information about the mobile phone manufacturing companies in India. The total number of mobile phone units manufactured is 12,40,000.

How many units of mobile phones are manufactured by company ‘DEF’?

A. 1,24,000

B. 62,000

C. 31,000

D. 15,600

Solutions

⇒ Mobile phone manufactured by DEF = 5% of 1240000 = 62000

86. The breakdown of pyruvate using O₂ takes place in the _______.

A. lysosomes

B. nucleus

C. vacuoles

D. mitochondria

Solutions

The breakdown of pyruvate using O2 takes place in the mitochondria matrix.
When glucose gets converted to pyruvate by glycolysis, only a small fraction of the total free energy potentially available from the glucose is released.
In mitochondria, when the metabolism of sugars is completed: the pyruvate is imported into the mitochondria and oxidized by O₂ to CO₂ and H₂O.
This allows 15 times more ATP to be made as compared to that produced by glycolysis alone.

Points to remember about Mitochondria

It is called the Powerhouse of the cell

They make energy through respiration

Adenosine triphosphate (ATP) is made in Mitochondria

Mitochondria are found in the Cytoplasm within the cell

The outer membrane of Mitochondria is made up of a phospholipid bilayer.

87. Which of the following nations is the only country to win the ICC Under-19 Cricket World Cup four times?

A. New Zealand

B. South Africa

C. Australia

D. India

Solutions

1.India is the only country to win the ICC Under-19 Cricket World Cup four times.

2. India won the ICC Under-19 Cricket World Cup in the year 2000, 2008, 2012 and 2018.

3. The 2018 Under-19 Cricket World Cup was held in New Zealand.

4. India beat Australia by 8 wickets in the finals to win their fourth Under-19 World Cup, the most by any side.

5. Rahul Dravid is the coach of Indian Under-19 cricket team.

88. Which of the following numbers will have an irrational square root?

A. 11025

B. 6025

C. 9025

D. 3025

Solutions

⇒ 11025 = 5² × 21²

⇒ 6025 = 5² × 241

⇒ 9025 = 5² × 19²

⇒ 3025 = 5² × 11²

∴ 6025 will have irrational square root.

89. Who was awarded the 2017 Sahitya Academy award for his English novel ‘The Black Hill’?

A. Vikram Seth

B. Chetan Bhagat

C. Amitav Ghosh

D. Mamang Dai

Solutions

1.Mamang Dai was the winner of the Sahitya Akademi Award 2017 from the above.

2.She won the award for her English novel The Black Hill.

3.Ramesh Kuntal Megh also won 2017 Sahitya Akademi award for the work Vishw Mithak Sarit Sagar, a literary criticism in Hindi.

4. Sahitya Akademi announces its annual Sahitya Akademi Awards in 24 languages. The award is in the form of a casket containing an engraved copper-plaque, a shawl and a cheque of Rs. 1 lakh.

5. Anees Salim won the 2018 Sahitya Akademi award in the English language for his novel ‘The Blind Lady’s Descendants’.

90. The digit in the unit’s place of the number represented by (7⁹⁵ – 3⁵⁸) is:

A. 6

B. 7

C. 0

D. 4

Solutions

Given:

(795 – 358)

Concept used:

Cyclicity of 7 is 4

Cyclicity of 3 is 4

Calculation:

7⁹⁵ = 7^{(4 × 23) + 3} = 1 × 7³ = 343

⇒ Unit digit of 7⁹⁵ = 3

3⁵⁸ = 3^{(4 × 14) + 2}= 1 × 3² = 9

⇒ Unit digit of 3⁵⁸ = 9

Unit digit of (7⁹⁵ – 3⁵⁸) = 3 – 9 = -6 or 10 – 6 = 4

∴ Unit place will be 4

Note: 3 – 9 = -6 because we have to find the unit digit. whenever the result is negative add 10 in it.

91. The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in cm²).

A. 27√3

B. 18

C. 9√3

D. 18√3

Solutions

Diagonals of a Rhombus are perpendicular bisector

Let ABCD be a rhombus and AC = 6 cm with midpoint O and Side AB = 6 cm

So, in ΔAOB,

⇒ AO² + OB² = AB²

⇒ (6/2)² + OB² = 6²

⇒ 9 + OB² = 36

⇒ OB² = 27

⇒ OB = 3√3 cm

⇒ BD = 2 × OB = 6√3 cm

⇒ Area of Rhombus = (1/2) × (Product of diagonal of Rhombus)

⇒ (1/2) × (6 × 6√3) = 18√3 cm²

92. The ratio 75 : 125 in its simplest form is written as:

A. 3 : 5

B. 5 : 3

C. 2 : 3

D. 3 : 2

Solutions

75 ∶ 125

= 25 × 3 ∶ 25 × 5

= 3 ∶ 5

93. Which of the following is malleable and ductile?

A. Phosphorus

B. Sulphur

C. Carbon

D. Copper

Solutions

The correct answer is Copper.

Key Points

Copper is a very good conductor.
It is malleable and ductile, and also offers high resistance to corrosion.
It is widely used for wires, cables, etc.

Additional Information

Properties	Definition
Malleable	A malleable material is one that can be easily converted into a thin sheet by hammering. Gold is the most malleable metal.
Ductile	A material that can easily be stretched into a wire when pulled. Here also gold is considered the most ductile metal.
Luster	It is a property that describes how light is reflected on the surface of a mineral. Mineralogists consider this when trying to determine the identity of a mineral.

Element	Atomic No.
Phosphorus	15
Sulfur	16
Carbon	6
Copper	29

94. Sound waves with frequencies below the audible range are called ________.

A. ultrasonic

B. infrasonic

C. supersonic

D. None of these

Solutions

1.Sound waves with frequencies below the audible range are called infrasonic.

2. Audible sounds have the frequency of 20-20000 Hz since these are sensitive to the human ears.

3. Infrasonic sounds have the frequency of less than 20 Hz and these are generally produced by sources of a bigger size such as earthquakes, volcanic eruptions, etc.

4.Ultrasonic sounds have a frequency greater than 20000 Hz and certain creatures such as dog, cat, a bat can hear this kind of sound.

95. Which among the following union ministers of India launched the mobile app ‘Celebrating Yoga’ to connect people through Yoga for Scientific healthy living?

A. Mahesh Sharma

B. Harsh Vardhan

C. Jagat Prakash Nadda

D. Smriti Irani

Solutions

.The government launched a mobile application, ahead of International Yoga Day in 2017, through which people can share their experience of participating in yoga and related activities.

2. Union Minister for Science and Technology Harsh Vardhan launched the application, Celebrating Yoga.

3. The app will give information to its users about studies conducted on yoga under the department’s programme.

96. A ball is dropped from a height of 80 m. The distance travelled by it in the fourth second will be ________.

(take g = 10 m/s²)

A. 50 m

B. 15 m

C. 80 m

D. 35 m

Solutions

CONCEPT:

The distance travelled by a body in n^th second is given by:

Sn = u + a/2 (2n – 1)

Where u is the initial velocity of the body, a is acceleration, and n is nth second.

CALCULATION:

Given that:

The ball is dropped from some height, so initial velocity (u) = 0 m/s

Acceleration is due to gravity (a) = 10 m/s²

and n = 4

For nth second, S_n= u + a/2 (2n – 1)

Distance travelled in 4th second (S₄) = 0 + 10/2 (2 × 4 – 1) = 35 m

Therefore, the distance travelled by the ball in the fourth second will be 35 m. So option 4 is correct.

97. 5 – 8% of acetic acid is called:

A. glacial acetic acid

B. vinegar

C. ester

D. ethanol

Solutions

1.The main constituent of vinegar is Acetic acid (CH3COOH), after adding 5-8% of acetic acid in water it becomes vinegar.

2. Vinegar is acidic in nature having a pH around 2.5.

3. It is used as a food preservative and is also useful for medicinal uses, household purposes, and in the food Industry.

4. When acetic acid is undiluted, it is sometimes called glacial acetic acid.

98. If P is 15 years old now and Q will be 26 years old after 6 years, what is the ratio of their present ages?

A. 4 : 1

B. 3 : 4

C. 2 : 1

D. 2 : 3

Solutions

⇒ Present age of P = 15

⇒ Present age of Q = 26 – 6 = 20

⇒ Required ratio = 15 ∶ 20 = 3 ∶ 4

99. Given is a statement followed by two arguments numbered I and II. Consider the statement and the following arguments and decide which of the arguments is/are strong?

Statement:

Are 21st century teenagers under stress?

Arguments:

I. Yes, teenagers’ perception is that are expected to be successful or good at everything. Failure has somehow gone from being viewed as a learning opportunity to being clearly unacceptable.

II. No, stress is a relative perception that can be managed with proper guidance.

A. Only argument II is strong.

B. Both arguments I and II are strong.

C. Only argument I is strong

D. Neither argument I nor II is strong

Solutions

In the last fifteen to eighteen years, the internet has expanded rapidly all over the world, leading to huge levels of exposure and judgement directed at teenagers. This has led to rising stress levels amongst teenagers who were not present in the last century. Hence, the argument I holds true.

A situation that might cause stress to one person might or might not be stressful to others. Hence, it is true that stress is a relative perception that can be managed with proper guidance.

Therefore, argument II also holds true.

100. Find the day name of 24 March 2006?

A. Monday

B. Friday

C. Wednesday

D. Sunday

Solutions

As 2000 is divisible by 400 the number of odd days is 0.

Number of leap years till 2005 = 1 (2004)

Number of ordinary years till 2005 = 4

Number of odd days till 2006 = 4 + (1 × 2) = 6 odd days

Number of odd days in January, 2006 = 3

Number of odd days in February, 2006 = 0

Total number of odd days till 24^th March 2006 = 6 + 3 + 24 = 33 odd days = 5 odd days

So, the day on 24^th March 2006 is Friday.

RRB Group D PYP Practice Test 2

A. Monday

Dailymocktest.com

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