RRB ALP CBT-I : 9 Aug 2018 Shift-2

1.Which of the fractions given below, when added to 5/8, give 1?

A. 6/24

B. 5/2

C. 6/16

D. 6/3

Solutions

Let that fraction be x.

⇒ x + 5/8 = 1

⇒ x = 1 – 5/8

⇒ x = 3/8 = 6/16

2. Choose the correct mirror image of the Problem figure if the mirror if placed to the right of the figure.

A. A

B. D

C. C

D. B

Solutions

Thus, the correct mirror image is figure B.

3. Elements A, B and C occur as Dobereiner’s triads. If the atomic mass of A is 40 and that of C is 137, what will be the atomic mass of B?

A. 35

B. 120

C. 88

D. 74

Solutions

According to the law of Dobereiner’s triads, the atomic mass of the middle element of the triad is the arithmetic mean of the atomic masses of the other two elements.
If A, B, and C are elements in Dobereiner’s triads, then the atomic mass of B will be equal to the arithmetic mean of the atomic mass of A and C.

Element	A	C	B = (A + C)/2
Atomic mass	40	137	= (40 + 137)/2 ≈ 88
Atomic Number	20	56	38
Element	Calcium	Barium	Strontium

Therefore, the atomic mass of element B is 88.

4. There are 361 saplings of Mango and Neem in a garden. The ratio of the number of Mango saplings to that of Neem saplings is 8 : 11. How many Neem saplings are there in the garden?

A. 209

B. 152

C. 171

D. 57

Solutions

Trick:

Neem saplings = 361 × 11/19 = 209

Detailed solution:

Let the number of Neem saplings be x.

⇒ The number of Mango saplings = 361 – x

The ratio of the number of Mango saplings to that of Neem saplings is 8 : 11,

⇒ (361 – x) /x = 8/11

⇒ 11(361 – x) = 8x

⇒ 3971 – 11x = 8x

⇒ 3971 = 19x

∴ x = 209

5. A sum of money was invested at the rate of 7.5% simple interest per annuum for 4 years. If the investments were for 5 years, the interest earned would have been Rs. 375 more. What was the initial sum invested?

A. Rs. 4,500

B. Rs. 5,000

C. Rs. 3,750

D. Rs. 4,750

Solutions

Interest earned for 5 years – Interest earned for 4 years = 375

Let the principal be Rs. P,

⇒ (P × 7.5 × 5) /100 – (P × 7.5 × 4) /100 = 375

⇒ (37.5 × P) /100 – (30 × P) /100 = 375

⇒ (7.5 × P) /100 = 375

∴ P = Rs. 5000

6. A body of 4.0 kg is lying at rest. Under the action of a constant force, it gains a speed of 5 m/s. The work done by the force will be _______.

A. 40J

B. 50J

C. 30J

D. 60J

Solutions

CONCEPT:

Work-energy theorem: It states that the sum of work done by all the forces acting on a body is equal to the change in the kinetic energy of the body i.e.,

Work done by all the forces = Kf – Ki

Where v = final velocity, u = initial velocity and m = mass of the body

CALCULATION:

It is given that,
Mass (m) = 4.0 kg

Final Velocity (v) = 5 m/s and initial velocity (u) = 0 m/s
According to the work-energy theorem,

⇒ Work done = Change in K.E
⇒ W = Δ K.E

Since initial speed is zero so the initial KE will also be zero.

⇒ Work done (W) = Final K.E = 1/2 mv²
⇒  W = 1/2 × 4 × 5²
⇒  W = 2 × 25
⇒  W = 50 J

7. Two pipes, when working one at a time, can fill a cistern in 3 hours and 4 hours, respectively while a third pipe can drain the cistern empty in 8 hours. All the three pipes were opened together when the cistern was 1/12 full. How long did it take for the cistern to be completely full?

A. 2 hours

B. 1 hour 45 minutes

C. 2 hour 11 minutes

D. 2 hour 10 minutes

Solutions

Given:

First pipe can fill the cistern = 3 hours

Second pipe can fill the cistern = 4 hours

Third pipe can drain the cistern = 8 hours

Calculation:

Let the total amount of work in filling a cistern be 24 units. (LCM of 3, 4 and 8)

Work done by pipe 1 in 1 hour = 24/3 = 8 units.

Work done by pipe 2 in 1 hour = 24/4 = 6 units.

Work done by pipe 3 in 1 hour = 24/ (-8) = -3 units

Total work done in 1 hour = 8 + 6 – 3 = 11 units

The time required to complete 11/12^th of the work = 11/12 × 24/ 11 = 2 hours

∴ The correct answer is 2 hours.

8. The below figure is embedded in one of the answer figures. Choose the correct figure containing the below figure.

A. D

B. C

C. B

D. A

Solutions

The given figure is embedded in the figure given below.

So, question figure is embedded into the figure B.

Hence, the correct answer is “Option C”.

9. Odisha often faces natural disasters due to _______.

A. Earthquakes

B. Cyclones

C. Rainfall

D. Drizzle

Solutions

A cyclone is a large system of winds that rotates anticlockwise in Northern Hemisphere around a low-pressure center.
There are 13 coastal states and union territory in India that are affected by cyclones which includes Andhra Pradesh, Odisha, Tamil Nadu, West Bengal, Pondicherry, Gujarat etc.

Additional Information

The vibration of the surface of the earth caused by the elastic or the isostatic adjustment of the rock beneath the surface is called an Earthquake.
When rain falls in a very small drop it is called Drizzle.

10. Who among the following laid the foundation of chemical science by establishing two important laws of chemical combination?

A. Ernest Rutherford

B. Democritus

C. Joseph L. Proust

D. Antoine L. Lavoisier

Solutions

Antoine Laurent Lavoisier was a French Chemist who developed the two important laws of chemical combinations and co-authored the modern system for naming chemical substances.

He is known as ‘The Father of Modern Chemistry’

Additional information:

Ernest Rutherford was a New Zealand born physicist who gave the famous ‘Rutherford Model of the atom’ which explains that the atom contains very small charges nucleus (contains most of the mass of atom) and orbited by loss mass electrons.
Democritus was a Greek philosopher and scientist who observed that a cone or a pyramid has one-third the volume of a cylinder or a prism with the same base and height.
Joseph Louis Proust was a French chemist who gave the law of constant composition.

11. If 3x² + ax + 4 is perfectly divisible by x – 5, then the value of a is:

A. -12

B. -5

C. -15.8

D. -15.6

Solutions

3x² + ax + 4 is perfectly divisible by x – 5,

⇒ 3 × 25 + 5a + 4 = 0

⇒ 5a = -79

∴ a = -15.8

12. The following figure is embedded in one of the four Answer figures. Which figure contains the Problem figure?

A. A

B. B

C. C

D. D

Solutions

The question figure is embedded in the below image.

Hence, figure B is the correct answer.

13. Solve the following: -1/4 × {-45 – (-96) ÷ (-32)} = ?

A. 12

B. 10.5

C. -12

D. -10.5

Solutions

-1/4 × {-45 – (-96) ÷ (-32)} = ?

⇒ ? = -1/4 × [-45 – (-96/-32)]

⇒ ? = -1/4 × (-45 – 3)

⇒ ? = -1/4 × -48

∴ ? = 12

14. If you look into a mirror and find that the image (your reflexion) is smaller than you, then the type of the mirror is:

A. Plano-concave mirror

B. Concave mirror

C. Plane mirror

D. Convex mirror

Solutions

Convex mirror or diverging mirror is a type of curved mirror that reflects the light outwards and hence form virtual images.

The convex mirror is generally used as a rearview mirror because it provides the maximum rear field of view and image formed is always erect.

Additional information:

A plane mirror always forms a virtual image (behind the mirror). The image and object are the same distance from a flat mirror, the image size is the same as the object size, and the image is upright.
Concave mirror enlarged and erect image that is why it is used as a shaving mirror and by doctors to examine eye, nose or ear.

15. In a computer game, a builder can build a wall in ten hours while a destroyer can demolish such a wall completely in fourteen hours. Both the builder and the destroyer were initially set to work together on the ground level, but, after 7 hours, the destroyer was taken out. What was the total time (in hours) taken to build the wall?

A. 15

B. 17

C. 24

D. 35

Solutions

Let the total work required to build a wall be 70 units (LCM of 10 and 14).

⇒ Work done by a builder in 1 hour = 70/10 = 7 units.

⇒ Work done by destroyer in 1 hour = 70/-14 = -5 units.

⇒ Total work done in 1 hour = 7 – 5 = 2 units

Work done by both of them = 2 × 7 = 14 units

Remaining work = 70 – 14 = 56 units

Remaining work was done by the builder.

∴ Time required = 56/7 = 8 hours

Total time required = 8 + 7 = 15 hours

16. To draw a pair of tangents to a circle which are inclined to each other at an angle of 75°, it is required to draw tangents at the end points of those two radii of the circle, the angle between whom is

A. 65°

B. 75°

C. 95°

D. 105°

Solutions

Concept:

Radius is perpendicular to the tangent at the point of contact

Sum of all the angles of a Quadrilateral = 360°

Calculation:

PA and PB are tangents drawn from an external point P to the circle.

∠OAP = ∠OBP = 90° (Radius is perpendicular to the tangent at the point of contact)

Now, In quadrilateral OAPB,

∠APB + ∠OAP + ∠AOB + ∠OBP = 360°

75° + 90° + ∠AOB + 90° = 360°

∠AOB = 105°

Thus, the angle between the two radii, OA and OB is 105°

17. If cot⁴θ + cot²θ = 3, then cosec⁴θ – cosec²θ = ?

A. 2

B. 0

C. 1

D. 3

Solutions

Calculation:

cot⁴θ + cot²θ = 3

⇒ cos⁴θ/sin⁴θ + cos ²θ/sin ²θ

⇒ cos 2θ(cos 2θ+ sin 2θ )/sin4θ = 3 (Taking LCM)

⇒ cos 2θ/sin⁴θ = 3

⇒ cot²θ . cosec²θ = 3

Now, cosec⁴θ – cosec²θ

⇒ cosec²θ(cosec²θ – 1)

⇒ cosec²θcot²θ = 3

∴ cosec4θ – cosec2θ = 3

18. ‘Madhya Pradesh’ is related to ‘Diamond’ in the same way as ‘Karnataka’ is related to _______.

A. Silver

B. Platinum

C. Gold

D. Copper

Solutions

Kolar, Hassan, Dharwad, and Raichur districts of Karnataka are the largest producer of gold in India.
Madhya Pradesh is the largest and the only producer of diamond in India.
The biggest platinum and copper reserves in India are found in Odisha and Rajasthan respectively.
Rajasthan is the largest silver producing a state in India.

19.

The given data shows the registration of bikes and total vehicles (in thousands) for 6 months in 2017 in City X.

Note: In the chart, the first number represents bikes and the second number represents total vehicles.

Based on the given data, the increase in the registration of vehicles other than bikes in April 2017 in comparison of Jan 2017 is _______.

A. 8000

B. 8050

C. 9500

D. 9000

Solutions

Number of registration of vehicles other than bikes in January 2017 = 27,000 – 21,000 = 6,000

Number of registration of vehicles other than bikes in April 2017 = 35,000 – 20,000 = 15,000

∴ the increase in the registration of vehicles other than bikes in April 2017 in comparison of Jan 2017 = 15,000 – 6,000 = 9,000

20. If a + b + c = 0, then (a³ + b³ + c³)² = ?

A. 3a²b²c²

B. 9a²b²c²

C. 9abc

D. 27abc

Solutions

When a + b + c = 0, then (a³ + b³ + c³) = 3abc,

∴ (a³ + b³ + c³)² = 9a²b²c²

21. Consider the argument and decide which of the given assumptions is/re implicit.

Argument:

Public smoking is an offence under the law.

Assumption:

Smoking is injurious to the health of the person who smoke.
Smoke is injurious even to others health in the public places.

A. Both 1 and 2 are implicit

B. Neither 1 nor 2 is implicit

C. Only assumption 2 is implicit

D. Only assumption 1 is implicit

Solutions

Smoking is injurious to health irrespective of the fact still people smokes. But argument is talking about the smoking in public. So, assumption 1 is not implicit. if one person smokes in public then his smoking effects other people health too. So, Assumption 2 is implicit.

22. Choose the correct alternative which will complete the series.

ACT, EGG, INK, ______

A. BYE

B. OLD

C. FUN

D. DIP

Solutions

Here the words start with the vowels in alphabetical order.

ACT, EGG, INK

So, the next word should start with O.

Hence the next word in the series is OLD.

23. Which state government has made yoga guru Ramdev Baba as the brand ambassador of Yoga and Ayurveda?

A. Haryana

B. Uttar Pradesh

C. Himachal Pradesh

D. Rajasthan

Solutions

Haryana government declared Yoga guru Ramdev Baba as the brand ambassador of Yoga and Ayurveda to promote yoga and Ayurveda in Haryana.
It was declared by Haryana’s minister of sport and health Anil Vij.

Additional information:

The Haryana government signed MoU with Patanjali to develop world’s first herbal forest in Morni district, Panchkula, Haryana

24. Consider the given statements as true and decide which of the given conclusions can definitely be drawn from the given statements.

Statements:

People think that paying tax to government is a burden and waste. Hence, they avoid paying tax or don’t pay tax promptly.

Conclusions:

Government should create awareness among the people that paying tax helps to build nation.
Tax should be increased so that more money is collected.

A. Both 1 and 2 follow.

B. Only conclusion 1 follows.

C. Neither 1 nor 2 follows.

D. Only conclusion 2 follows.

Solutions

If Government creates awareness among people about paying tax then the people will come to understand that paying tax to government is not a waste or burden. So, conclusion 1 follows. Increasing Tax won’t help to collect more money. So, conclusion 2 doesn’t follows.

Hence conclusion 1 follows.

25. The main cause of rancidity in foods is the ______ of fats and oils.

A. Hydrolysis

B. Oxidation

C. Clarification

D. Reduction

Solutions

The correct option is Oxidation.

Explanation:

Rancidity is the oxidation of fats caused by the biochemical reaction of fats and oxygen.

Additional Information

When the fats and oils in food oxidize, the taste and smell of the food change. This is called RANCIDITY.
These chemical reactions also deplete the food’s nutritional value.
In simple terms, rancidity is the spoiling of food such that it becomes unsuitable and undesirable for consumption.
Fats and oils oxidize and become rancid when exposed to sunlight.
Oil, for example, can go rancid due to the decomposition of the fats it contains, or milk can go rancid due to not heating it in a humid setting, and so on.
Controlling rancidity is possible. Like –
- Antioxidants may be added to foods.
- Keeping food in a tightly sealed jar
- Food that has been refrigerated will also help to reduce rancidity.

26. Which of the answer figures is the correct water image for the given problem figure?

A. C

B. A

C. B

D. D

Solutions

The water image is the inverted image obtained by turning the object upside down.

Thus, the water image of the given image is figure C.

27. Mr. X starts from point ‘A’ travels 80 km towards west, takes a left turn, travels 50 km and reaches point ‘B’. What is the shortest distance between points ‘A’ and ‘B’?

Solutions

The given information can be represented as follows,

Using Pythagoras theorem to find the shortest distance between starting and ending point.

AC² + BC^{2 =}AB²

80² + 50² = AB²

6400 + 2500 = AB²

8900 = AB²

AB =

Thus, the shortest distance between starting and ending point is m.

28. The mean height of 25 boys in a class is 150 cm, and the mean height of 35 girls in the same class is 145 cm. The combined mean height of 60 students in the class is ______ cm (approximately).

A. 143

B. 145

C. 146

D. 147

Solutions

⇒ Sum of heights of boys = 25 × 150 = 3750 cm

⇒ Sum of heights of girls = 35 × 145 = 5075 cm

∴ Combined mean = (3750 + 5075) / 60 = 147 cm

29. Which of the following serves as a nutritive tissue for the growing embryo?

A. Ovule

B. Ovary

C. Endosperm

D. Zygote

Solutions

Endosperm is a tissue that surrounds the embryo in the seeds of angiosperms and provides nutrition to it in the form of starch and protein.
The ovary is a female reproductive organ that produces female gametes and after fertilization, it develops to become a fruit.
The ovule is present inside the ovary that develops into female reproductive cells and after fertilization, it develops into a seed.
The egg fertilized by sperm is called Zygote.

30. Choose the incorrect word pair from the given alternatives.

A. Carpenter: Hammer

B. Crane : Builder

C. Computer : Writer

D. Axe : Writer

Solutions

Hammer is used by Carpenter to do his work. So, arrangement is Profession: Tool used by that professional.

Carne is used by builder so, arrangement in this is Professional’s tool: Profession.

Computer is used by writer so arrangement in this is Professional’s tool: Profession.

Wrench is used by Plumber so arrangement in this is Profession: Professional’s tool.

Axe is used by Logger and not by the writer

Hence the incorrect pair is Axe : Writer

31. The 2016 Olympics was held in which city?

A. Paris

B. Mexico city

C. Rio de Janeiro

D. London

Solutions

Rio de Janeiro was elected as the host city for 2016 Summer Olympics, also called as the Games of XXXI Olympiad.

Additional Information:

YEAR	VENUE
2012	London
2016	Rio de Janeiro
2020	Tokyo
2024	Paris

PV Sindhu won silver Women’s Singles badminton while Sakshi Malik won bronze in Women’s freestyle 58 kg category wrestling.

32. Find the value of 27 – [38 – {46 – (15 – 13 – 2)}]

A. 35

B. 31

C. 29

D. 30

Solutions

27 – [38 – {46 – (15 – 13 – 2)}] = 27 – [38 – {46 – (0)}] = 27 – [38 – 46] = 27 – [-8] = 27 + 8 = 35

33. The ‘Kathopanishad’ captures the conversation between a young boy named Nachiketa and a god. Which of the following gods is talking to Nachiketas?

A. Lord Yama

B. Lord Shiva

C. Lord Indra

D. Lord Kartikeya

Solutions

Katha Upanisads or Kathopanishad is the most widely known of all the Upanisads and consists of two chapters and each chapter is divided into three sections.
It consists of the story of a little boy named Nachiketa, who was the son of Sage Vajasravasa.
Nachiketa met Lord Yama and discussed the nature of man, knowledge, soul, and moksha

34. The focal length of a concave mirror with a radius of curvature of 20.0 cm is:

A. 15 cm

B. 20 cm

C. 5 cm

D. 10 cm

Solutions

Focal length is the distance between the center of the lens or mirror and the focal point (where parallel rays of light meet or appear to meet) of the lens or mirror.
The distance between the center of the lens or mirror to the vertex which is located on the local optical axis is called the Radius of Curvature.
The focal length is half of the radius of curvature.

f = R/2

Here, R = 20 cm

∴ f = 20/2 = 10 cm

Therefore, the focal length of the concave mirror is 10 cm.

35. The given Venn diagram represents the students who can speak different languages. According to it, the total number of students who can speak exactly two languages is _______.

A. L + M + O

B. N + L

C. L + O

D. L + M + O + N

Solutions

L can speak English as well as Hindi.

M can speak English and Tamil.

O can speak Hindi and Tamil.

Thus, L, M and O can speak exactly two languages.

36. A battlefield always has:

A. Arrows

B. Elephants

C. Chariots

D. Soldiers

Solutions

A person going in the battlefield should have a Weapon but battlefield always has soldiers.
Hence, Soldiers is the correct answer.

37. The surface area of three faces of a cuboid sharing a vertex are 20 m², 32 m² and 40 m². What is the volume of the cuboid?

A. 92 m³

B. √3024 m³

C. 160 m³

D. 184 m³

Solutions

The surface area of three faces of a cuboid sharing a vertex are 20 m², 32 m² and 40 m²,

⇒ L × B = 20 sq. Mt

⇒ B × H = 32 sq. Mt

⇒ L × H = 40 sq. Mt

⇒ L × B × B × H × L × H = 20 × 32 × 40

⇒ L²B²H² = 25600

⇒ LBH = 160

∴ Volume = LBH = 160 m³

38. An object with a mass of 22 kg moving with a velocity of 5 m/s possesses kinetic energy of:

A. 275 J

B. 110 J

C. 1100 J

D. 2750 J

Solutions

CONCEPT:

Kinetic energy: The energy needed to move the body of mass m from one point to another with stated velocity v is called kinetic energy.

The Kinetic energy is given as:

K.E = ½ × m V²

Where K.E = Kinetic Energy

m = mass of the object

V = Velocity of an object

CALCULATION:

Given that, m = 22 kg, v = 5 m/s

∴ K.E = ½ × 22 × 5²

K.E = 275 J

Therefore, the kinetic energy of the object is 275 J

39.Which of the following is a reducible fraction?

A. 91/15

B. 79/26

C. 105/112

D. 41/17

Solutions

105/112 = (15 × 7) / (16 × 7) = 15/16

∴ 105/112 is a reducible fraction.

40. 2/3 of a milk-water mixture was milk. There was 21 litres of the mixture. If 4 litres of water is added to it, Then find the percentage of milk in the new mixture.

A. 44

B. 56

C. 14

D. 11

Solutions

Total volume = 21 litres

2/3 of a milk-water mixture was milk,

⇒ Volume of milk = 2/3 × 21 = 14 litres

⇒ Volume of water = 21 – 14 = 7 litres

4 litres of water is added to it,

⇒ New volume of water = 7 + 4 = 11 litres.

⇒ Total volume of mixture = 14 + 11 = 25

∴ Percentage of milk = 14/25 × 100 = 56%

41. Choose the correct water image of the problem figure.

A. D

B. B

C. A

D. C

Solutions

The water image is the inverted image obtained by turning the object upside down.

Hence the water image of the given image is figure C.

42. The Dadasaheb Phalke Award is awarded for significant public achievement in which field?

A. Films

B. Journalism

C. Literature

D. Sports

Solutions

Dadasaheb Phalke Award is the most prestigious awards in the field of cinema.
Dadasahab Phalke is known as “the Father of Indian Cinema” because he introduced the beauty of cinematic experience in India.
The first recipient of Dadasaheb Phalke Award was Devika Rani who received the award in 1969 and also known as “the first lady of Indian cinema”.
Vinod Khanna received 65^th Dadasaheb Phalke Award in 2017.
Additional Information:

Field	Awards
Literature	Jnanpith Award, Vyaas Samman
Journalism	Pulitzer Prize, Ramnath Goenka award
Cinema	Palme d’Or Award, BAFTA Awards

43. The value of [-261 + (-380) – (-521) + 821 – (-121)] is:

A. 800

B. 825

C. 822

D. 833

Solutions

-261 + (-380) – (-521) + 821 – (-121) = -261 – 380 + 521 + 821 + 121 = 822

44. The resistance of a conductor is inversely proportional to:

A. Temperature

B. Resistivity

C. Area of cross section

D. Length

Solutions

Resistance is the measure of the opposition to current flow in an electric circuit.
It is measured in Ohms, which is named after scientist George Simon Ohm, who discovered the relation between voltage, current, and resistance.
Resistance is given as:

R = ƿx L/A

Where, R = resistance (Ώ)

Ƿ = resistivity (Ώ m)

L = length of the wire (m)

A = area of the cross-section of a conductor (m²)

Therefore, Resistance is directly proportional to length and inversely proportional to the area of cross-section.

45. Which of the following is essential for the synthesis of thyroxin?

A. Potassium

B. Sodium

C. Calcium

D. Iodine

Solutions

Thyroid gland is an endocrine gland which is located in the neck.
It secretes two hormones, thyroxin, and triiodothyronine which target the central nervous system, the cardiovascular system, and the skeleton.
Thyroxine is an inactive form and liver and kidney convert it into an active form called triiodothyronine.
Iodine and Selenium are the most crucial micronutrients which are important for the production of thyroid hormones.

46. The girth of the stem or root in plants increases due to:

A. Lateral meristem

B. Intercalary meristem

C. Additional meristem

D. Apical meristem

Solutions

Meristematic tissue is the tissue which contains undifferentiated cell and is present in the region of the plant where growth can take place.
The plant contains three types of the meristem, apical meristem, Lateral meristem, and Intercalary meristem.
Apical meristem is responsible for the growth of new cells in young seedlings at the tip of roots and shoots forming buds.
Lateral meristem divides and produces girth of stem or roots in plants.
Intercalary meristem is located at the base of internode and is capable of cell division which causes rapid growth of monocots.

47. Consider the given question and decode which of the following statements is sufficient to answer the question.

Who among P, Q, R, S and T is lightest in weight?

Statements:

1. Q weight < P and S also S weight > T

2. R weight > Q but < T

A. Statement 2 alone is sufficient while statement 1 alone is insufficient.

B. Both statement 1 and 2 are sufficient.

C. Neither statement 1 nor 2 is sufficient.

D. Statement 1 alone is sufficient while statement 2 alone is insufficient.

Solutions

Using statement 1: Q < P, S and S > T

Using statement 2: Q < R < T

So, after joining both the statements Q < R < T < P, S.

Thus both the statements are sufficient to answer the question.

48. Which of the following metals is stored in kerosene oil?

A. Platinum

B. Copper

C. Sodium

D. Gold

Solutions

Sodium is highly reactive metal which readily reacts with air to form sodium peroxide (Na₂O₂).
2 Na (s) + O₂(g) → Na₂O₂ (s)
The sodium peroxide absorbs moisture and form sodium hydroxide.
2 Na₂O₂ (s) + 2 H₂O (l) → 4 NaOH (aq) + O₂ (g)
Sodium is stored in kerosene oil because kerosene contains no water and protects sodium from being exposed to moisture.

Additional information:

Sodium is an alkali metal with symbol Na and atomic number 11.
It belongs to the first group and third-period of the periodic table.
Its electronic configuration is [Ne] 3s¹ and hence, it belongs to s-block of the periodic table.

49. The following table gives the details of the number of students in Class 10 section A and B who had taken the mid-term and final exams.

The percentage of students in section A is _____ (round of one decimal).

Result	Sec A	Sec B
Total number of students who failed in both exams	28	23
Total number of students who failed in mid-term but passed in finals	14	12
Total number of students who passed in mid-term but failed in finals	6	17
Total number of students who passed in both the exams	64	55

A. 53

B. 51.4

C. 52.3

D. 54.2

Solutions

Total number of students in section A = 28 + 14 + 6 + 64 = 112

Total number of students in section B = 23 + 12 + 17 + 55 = 107

Hence, total number of students = 112 + 107 = 219

∴ Percentage of students in section A = (112/219) × 100 ≈ 51.14 ≈ 51.4

Hint

Total number of students = Total number of students who failed in both exams + Total number of students who failed in mid-term but passed in finals + Total number of students who passed in mid-term but failed in finals + Total number of students who passed in both the exams

50. Which Indian Chief Minister’s father was a ‘Maharaja’?

A. Chandrababu Naidu

B. Devendra Fadnavis

C. K Chandrasekhar Rao

D. Amrinder Singh

Solutions

Caption Amrinder Singh is the son of the last Maharaja of the princely state of Patiala.
He is currently serving as 26^th Chief Minister of Punjab.
He belongs to Indian National Congress (INC) and also served in the Indian Army from 1963 to 1966.

Additional Information:

Chandrababu Naidu is 13^th Chief Minister of Andhra Pradesh
K Chandrasekhar Rao is 1^st Chief Minister of Telangana
Devendra Fadnavis is 18^th Chief Minister of Maharashtra

51. Which eminent Hindi writer was chosen for the Vyas Samman 2017 for her work ‘Dukham Sukham’?

A. Namita Gokhale

B. Meena Kandasamy

C. Jhumpa Lahiri

D. Mamta Kalia

Solutions

Vyas Samman is a prestigious award in the field of Literature.
It was first awarded in 1991.
Mamta Kalia won Vyas Samman 2017 for her book “Dukham Sukham”

Additional Information:

AUTHOR	BOOK
Namita Gokhale	Things to leave behind
Meena Kandasamy	This poem will provoke you
Jhumpa Lahiri	The Namesake

52. The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be:

A. 5π cm²

B. 7π cm²

C. 6.75π cm²

D. 6.25π cm²

Solutions

The two sides holding the right angle in a right-angled triangle are 3 cm and 4 cm long,

⇒ Length of hypotenuse = (3² + 4²)^1/2 = 5 cm

⇒ Radius of circum-circle = 5/2 = 2.5 cm

∴ Area = 22/7 × (2.5)² = 6.25π cm²

53. Who won the 2017 Hridaynath Mangeshkar Award?

A. Javed Akhtar

B. Asha Bhosle

C. Shabana Azami

D. Anupam Kher

Solutions

Hridaynath Mangeshkar Award is the prestigious award started in 2011 by Hridayesh Art in honor of music composer and singer Hridaynath Mangeshkar.
Javed Akhtar won the 2017 Hridaynath Mangeshkar Award.

Additional Information:

AR Rehman won the 2015 Hridaynath Mangeshkar Award.
The 2016 award was awarded to five-time world chess champion Vishwanathan Anand.

54. To convert temperature from Celsius to Kelvin scale you must:

A. Multiply the given temperature by 273

B. Add 273 to the given temperature

C. Divide the given temperature by 273

D. Subtract 273 from the given temperature

Solutions

Zero in Celsius scale is equivalent to 273 in Kelvin scale.
Therefore, the temperature in Celsius is converted to Kelvin by adding 273 to the given temperature.
For example, 5°C is equal to 278 K (5 + 273 = 278 K)

Additional information:

Celsius is converted to Fahrenheit by using: {[T (°C) × 9/5] + 32}
Kelvin is converted to Fahrenheit by using: T_(F) = T_(K) × 9/5 – 459.67

55. A body of mass 2 kg is thrown upward with an initial velocity of 20 m/s. After 2 seconds, its kinetic energy will be: (g = 10 m/s²)

A. 100 J

B. 0 J

C. 400 J

D. 200 J

Solutions

Key Points

Kinetic energy is defined as the energy needed to move the body of mass m from one point to another with stated velocity v.
Using, Newton’s first equation of motion,

v = u + at

Where v = Final velocity of the body

u = initial velocity of the body
a = acceleration of the body
t = time taken by the body

As, body is moving upward, a = -g, where g = acceleration due to gravity

So, v = u – gt

Given, u = 20 m/s, t = 2 sec and g = 10 m/s²

On putting in the above formula, we get,

v = 20 – 10 × 2 = 0

Using, K.E. = ½ mv²

Where, K.E. = kinetic energy of the body

m = mass of the body
v = velocity of the body

On putting the values, K.E. = ½ × 2 × 0 = 0 J

Therefore, the kinetic energy of the body of mass 2 kg is zero.

56. Select the odd figure out of the following figure services.

A. 4

B. 1

C. 2

D. 5

Solutions

Here letter A, F, Ɪ and Z are drawn using 3 lines but letter L has only 2 lines. Thus letter L is the odd figure.

57. If the number 1 on the clock is replaced by the letter ‘M’, the number 2 is replaced by ‘N’ and so on, then when the time is 21:00 the hour hand will be at ______ letter.

A. S

B. T

C. U

D. V

Solutions

In the 12 hour clock, 21:00 means 9 pm. At 9:00 pm hour hand will be at 9. If 1 on the clock is M and 2 is N then 9 will be U.

Thus, when the time is 21:00 the hour hand will be at letter U.

58. Find the missing term in the letter series.BGL, DIN, ______, HMR

A. FKP

B. FPK

C. EJO

D. GLQ

Solutions

The logic here is as follows,

B + 2 = D, D + 2 = F, F + 2 = H

G + 2 = I, I + 2 = K, K + 2 = M

L + 2 = N, N + 2 = P, P + 2 = R

Thus the missing term is FKP.

59. Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing one-third of the task. Then, Sharan takes over and completes the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayukh had worked faster than Sharan?

A. 45

B. 30

C. 72

D. 24

Solutions

Let the total amount of work be 360 units (LCM of 40 and 18)

Let the work done by Mayukh per day be x and that by Sharan be y.

⇒ Work done by Mayukh and Sharan together in one day = x + y = 360/18 = 20 units.

⇒ Time is taken by Mayukh to complete 1/3^rd of work = 120/x

⇒ Time is taken by Sharan to complete remaining work = 240/y

the duo could complete the task in 40 days,

⇒ 120/x + 240/y = 40

⇒ 120/ (20 – y) + 240/y = 40

⇒ 120y + 240(20 – y) = 40y(20 – y)

⇒ 3y + 120 – 6y = 20y – y²

⇒ y² – 23y + 120 = 0

⇒ (y – 15)(y – 8) = 0

⇒ y = 8 (Work done per day by Sharan will be lesser than Mayukh)∴ Time required by Sharan alone = 360/8 = 45 days.

Shortcut Trick

Option method:-

Sharan and Mayukh, working together, can complete a task in 18 days

if both have the same efficiency Sharan and Mayukh are alone in the work for 36 days.

now, as per the question condition,

Mayukh worked faster than Sharan

It means the time required by Sharan alone must be 36 + days and
(In this condition our 2 options are eliminated 24,30)
2nd thing it can’t be double either.

In this condition, we are left with only one option (1 ) 45 Days

60. Decide which of the conclusions logically follow(s) from the information given in the statement.

Statements:

Politicians marry only beautiful girls. X is a beautiful girl.

Conclusions:

1. X will marry a politician.

2. X won’t marry a politician.

A. Only conclusion 1 follows

B. Only conclusion 2 follows

C. Either 1 or 2 follows

D. Both 1 and 2 follows

Solutions

X is beautiful and she can marry a politician or not. It is her choice.

Hence either 1 or 2 follows.

61. Three-fifths of my current age is the same as five-sixths of that of one of my cousins’. My age ten years ago will be his age four years hence. My current age is ______ years.

A. 55

B. 45

C. 60

D. 50

Solutions

Let my current age = x years and my cousin’s age = y years.

Three-fifths of my current age is the same as five-sixths of that of one of my cousins’,

⇒ 3x/5 = 5y/6

⇒ 18x = 25y

My age ten years ago will be his age four years hence,

⇒ x – 10 = y + 4

⇒ y = x – 14,

⇒ 18x = 25(x – 14)

⇒ 18x = 25x – 350

⇒ 7x = 350

∴ x = 50 years

62. ‘Food’ is related to ‘Refrigerator’ in the same way as ‘Clothes’ is related to ______.

A. Garage

B. Closet

C. Fold

D. Material

Solutions

Food is kept in the refrigerator in order to keep it fresh or prevent spoiling.

Similarly,

Clothes are kept inside a closet to protect them from dust and damage.

Hence, Clothes are related to Closet.

63. Which of the following never occurs singly in nature?

A. Inertia

B. Force

C. Momentum

D. Velocity

Solutions

According to Newton, force is the mutual interaction between two bodies; hence it never occurs singly in nature.
This is the basis of Newton’s third law i.e., “For every action, there is always an equal and opposite reaction”.
This states that forces always occur in pairs i.e., if A exerts a force on B then B will exert an equal and opposite force on A.

Additional Information:

Inertia is the property of a body by virtue of which the body opposes the change in its initial state of rest or motion with uniform speed on a straight line.
Momentum is defined as the product of mass and velocity of the body and is the measure of the amount of motion contained in a body.
Velocity is defined as the displacement of the object in a unit time interval.

64. Which of the numbers given below is NOT rational?

A. √64

B. ∛64

C. ∛8

D. √8

Solutions

√8 = 2.828427…… (non recurring, infinite) and cannot be expressed in p/q format.

∴ √8 is NOT rational.

65. Which of the following gases is not generated in a biogas plant?

A. CO

B. H₂S

C. CH₄

D. CO₂

Solutions

The organic matter breakdown to produce the mixture of different gases called Biogas and the plant where biogas produced is called as Biogas Plant.
It is a renewable form of energy and can be produced from raw materials like agriculture waste, manure, municipal waste, plant waste etc.
Biogas plant produces biogas such as methane (CH₄), carbon dioxide (CO₂), hydrogen sulfide (H₂S), moisture (H₂O) and siloxanes [(R₂SiO)_n].

Additional information:

Carbon monoxide (CO) is highly toxic in nature. It combines with hemoglobin present in blood and forms carboxyhemoglobin complex.
The carboxyhemoglobin complex is more stable than oxyhemoglobin complex and hence prevents hemoglobin from carrying oxygen to different parts of the body, which causes suffocation and ultimately death.

66. Name the Indian Paralympics high jumper who won gold at the Rio Paralympics. He was awarded the Padma Shri in 2017.

A. Narendra Ranbir

B. Varun Bhati

C. Mariyappan Thangavelu

D. Devendra Jhajharia

Solutions

Mariyappan Thangavelu won a gold medal in men’s high jump T-24 category in 2016 Summer Paralympics.
The 2016 Paralympic held in Rio de Janeiro (Brazil), organized by International Paralympics Committee.
China won 239 medals and secured the first rank, followed by Britain (147 medals) and Ukraine (117 medals).
India won 4 medals (gold = 2, silver = 1 and bronze = 1) and secured 43^rd rank.

NAME	SPORT	MEDAL
Devendra Jhajharia	Men’s Javelin throw F-46	Gold medal
Deepa Malik	Women’s shot put F-53	Silver
Varun Singh Bhati	Men’s High Jump T-42	Bronze

Additional Information:

NAME	SPORT
Narendra Ranbir	Paralympic javelin thrower
Varun Bhati	Paralympic high jumper
Devendra Jhajharia	Paralympic javelin thrower

67. Which was the first country to introduce GST in its system?

A. Canada

B. France

C. Australia

D. Germany

Solutions

The goods and services tax (GST) is a value-added tax levied on most goods and services sold for domestic consumption.
France was the first nation to implement GST in 1954.

Additional information:

GST was introduced in India on 1 July 2017 by Finance Minister Arun Jaitley by passing GST bill in Lok Sabha.
The tax implement through the 101^st Amendment of Constitution of India by the Indian government.

68. Chlorine gas is used in the manufacture of:

A. Baking powder

B. Baking soda

C. Bleaching powder

D. Washing powder

Solutions

Calcium Hypochlorite (Ca(ClO)₂), also called as Bleaching powder, is prepared by passing chlorine gas over dry slaked lime.
2Ca(OH)₂ (s) + 2Cl₂ (g) → Ca(ClO)₂(s) + CaCl₂ (s) + 2H₂O (l)

Slaked lime chlorine bleaching calcium water

Gas powder chloride

Additional Information:

COMMON NAME	SCIENTIFIC NAME	CHEMICAL FORMULA
Baking powder/Baking soda	Sodium Bicarbonate	NaHCO₃
Washing soda	Sodium Carbonate	Na₂CO₃

69. If the atomic number of Krypton is 36, then its electronic configuration is:

A. 2, 18, 16

B. 2, 8, 18, 8

C. 2, 18, 8, 8

D. 2, 8, 20, 6

Solutions

Krypton is a chemical element with symbol Kr and atomic number 36.
It belongs to group 18 (noble gas) elements.
Its electronic configuration (electrons per shell) 2 (K), 8(L), 18(M), 8(N) and electronic configuration (electrons per sub-shell) is [Ar] 3d¹⁰ 4s² 4p⁶.

Additional Information:

SHELL	SHELL MAXIMUM ELECTRON
K	2
L	8
M	18
N	32
O	50

70. Consider the argument and decide which of the given assumptions is/are implicit

Argument:

The BEST bus travels company has decided to increase its fare by 10%.

Assumptions:

1. Passengers may opt for other buses costing less than the BEST bus travels company.

2. The demand for the buses by some passengers may remain unchanged even after the fare hike.

A. Both 1 and 2 are implicit

B. Only assumption 2 is implicit

C. Only assumption 1 is implicit

D. Neither 1 nor 2 is implicit

Solutions

If one bus company increases its fare then people will look for other buses with cheap fares. So assumption 1 is implicit.

Some people using buses for travel might continue even after the fare increase. This assumption by the BEST is implicit otherwise such an action would lead to excessive financial loss. So assumption 2 is implicit.

Thus, both assumptions 1 and 2 are implicit.

71. Rs. 750 invested for 3 months gave an interest of Rs. 18. What was the simple rate of interest per annum?

A. 2.4%

B. 9.6%

C. 7.2%

D. 12%

Solutions

Given,

Principle(P) = 750

Time(N) = 3 months = 3/12 year, = 1/4 year

Simple Interest(S.I) = RS.18

FORMULA USED:

Simple Interest(S.I) = PRN/100

⇒ 18 = (750 × R × 1/4) /100

⇒ 18 = 1.875 R

∴ R = 9.6%

72. Select the odd figure out of the given series.

A. (c)

B. (a)

C. (d)

D. (b)

Solutions

All the figures here except ‘c’ has only one dot along with X and two lines but figure ‘c’ has two dots.

Hence, figure ‘c’ is the odd figure.

73. How many triangles are present in the following figure?

A. 12

B. 15

C. 14

D. 13

Solutions

The triangles in the given figure are as follows,

Thus, the total number of triangles in the given figure is 14.

74. Metals react with acids to give:

A. Salt and chlorine

B. A salt and base

C. A salt and hydrogen

D. Salt and water

Solutions

When a metal reacts with acids, displacement reaction take place to form a salt and hydrogen gas.
For example, when Sodium (Na) reacts with hydrochloric acid (HCl) then sodium chloride (NaCl) and hydrogen gas (H₂) form.
2 Na (s) + 2 HCl (aq) → 2 NaCl (s) + H₂ (g)
Non-metals do not react with acids because non-metals are themselves acceptors of electrons so there is no way they can donate electrons to the hydrogen ion of the acid.

75. If _______ is involved, even greater diversity will be generated.

A. Sexual Reproduction

B. Binary Fission

C. Vegetative propagation

D. Asexual Reproduction

Solutions

Genetic inheritance is a basic principle of genetics and explains how characteristics are passed from one generation to the next generation.
Genetic inheritance occurs due to genetic material in the form of DNA is passed from parents to their offspring.
Asexual reproduction involves the division of one organism into two without any change in the genes.
While sexual reproduction involves the fusion of sperm and egg which contains a different combination of genes of the parent organism. Hence, sexual reproduction provides greater diversity.

RRB ALP CBT-I : 9 Aug 2018 Shift-2

D. D

A. Statement 2 alone is sufficient while statement 1 alone is insufficient.

Dailymocktest.com

Catagory

More Link

Follow Us