1.The given figure is embedded in one of the given answer figure. Which is that answer figure?
A. C
B. D
C. B
D. A
Solutions
Thus, the given image is embedded in figure A.
2. If A = (-14 + 4) and B = 4 – 14, then AB = ?
A. 100
B. -100
C. 0
D. -1
Solutions
Given that,
A = (-14 + 4) = -10
B = 4 – 14 = -10
∴ AB = (-10)(-10) = 100
3. What is the angle between the two hands of a clock when the time shown by the clock is 8 p.m? (in degrees)
A. 220
B. 120
C. 60
D. 50
Solutions
The analog clock is divided up into 12 sectors, based on the numbers 1–12. One sector represents 30 degrees (360/12 = 30).
If the hour hand is on the 8, and the minute hand is on the 12, which means there are 4 sectors of 30 degrees between then.
Thus, they are 120 degrees apart (30 × 4 = 120).
4. The vast amount of sea weeds presents in ocean may produce an endless source of:
A. Methane
B. Ocean thermal energy
C. Sea wave energy
D. Nuclear energy
Solutions
The correct answer is Option 1, i.e Methane.
- Biodegradation of seaweeds results in release of a large amount of Methane which is an important economic source as well.
- Methane production results from the reduction of carbon dioxide with hydrogen by archaea, a group of methanogens frequently associated with ciliated protozoa.
- Additionally, the proteins present in seaweed are an important source of various nutrients as well, and also take part in recognition of metastatic cells.
- Ocean Thermal Energy is produced using the temperature difference between deep cold ocean water and warm tropical surface waters.
- Sea wave energy is the capture of energy of wind waves to do useful work like electricity generation.
- Nuclear energy – Energy that is released in significant amounts in processes that affect atomic nuclei, the dense cores of atoms.
5. Solve the following.78 + [-4 + (-3) of {27 + (-18 + (-2))}] = ?
A. 53
B. 43
C. 56
D. 55.6
Solutions
Given equation is
? = 78 + [-4 + (-3) of {27 + (-18 + (-2))}]
⇒ ? = 78 + [-4 + (-3) of {27 + (-20)}]
⇒ ? = 78 + [-4 + (-3) of {27 – 20}]
⇒ ? = 78 + [-4 + (-3) of 7]
⇒ ? = 78 + [-4 – 21] = 78 – 25 = 53
6. Find the mean proportional between 2 and 98.
A. 13
B. 14.5
C. 16
D. 14
Solutions
If a, b, c are in proportion then a/b = b/c
b is called the mean preparation of a, c
b2 = ac
⇒ b = √ac
⇒ b = √(2 × 98) = √196
∴ b = 14
7. The square root of 4624 is:
A. 72
B. 66
C. 64
D. 68
Solutions
The equal root of 4624 will be between 60 and 70.
In 4624, unit digit is 4
⇒ Only squares of 2 and 8 end with 4
∴ √4624 = 68
8. Who was appointed as the Chief Secretary of the Delhi Government in December 2017?
A. Ajeet Vasant
B. Anshu Prakash
C. Aditya Negi
D. Akansha Ranjan
Solutions
- Anshu Prakash was appointed as the Chief Secretary of the Delhi Government in December 2017.
- He succeeded MM Kuty. In November 2017, Mr. Kuty was made the additional secretary in the Union Finance Ministry.
- Anshu Prakash was transferred to the Union Telecommunications Ministry in November 2018.
- Vijay Dev replaced him as the Chief Secretary of the Delhi Government.
9. In the reaction H2O2 + Cl2 → 2HCl + O2, H2O2 acts as:
A. An acid
B. An oxidising agent
C. A reducing agent
D. A base
Solutions
The correct answer is A reducing agent.
Key Points
- Hydrogen peroxide H2O2 is acting as a reducing agent here.
- A reducing agent is a compound that oxidises itself and reduces the other compound in a chemical reaction.
- A reducing agent will lose electrons in a chemical reaction, and thus get oxidized.
- Here, the charge on Chlorine (Cl) is earlier 0, but after reaction, the charge on each Cl atom is -1, this shows that it has been reduced. Thus, Hydrogen peroxide has worked as a reducing agent.
- Also, in terms of hydrogen, adding hydrogen is termed as reduction, whereas removing it is termed as oxidation. Since hydrogen is added to chlorine, chlorine is reducing, and hence we can say that Hydrogen peroxide has worked as a reducing agent.
10. The area of the square field is 196 sqm. Its each side is:
A. 16 m
B. 17 m
C. 14 m
D. 13 m
Solutions
Given, area of square = 196 sq. m
Let the side of square be ‘a’ m
⇒ a2 = 196
∴ a = 14 m
11. The first equation of motion gives the relation between _________.
A. Position and time
B. Position and velocity
C. Velocity and time
D. Velocity and acceleration
Solutions
- The first equation of motion gives the relation between “velocity and time“.
- The first equation of motion is v = u +at.
- Here, v is the final velocity, u is the initial velocity, a is the acceleration and t is the time.
- The velocity-time relation gives the first equation of motion and can be used to find acceleration.
- The position-time relation gives the second equation of motion, i.e. s = ut + (1/2) at2
- The position-velocity relation gives the third equation of motion, i.e. v2 = u2 +2as
12. Choose the correct figure to fill in the blank space.
A. A
B. C
C. B
D. D
Solutions
The second image in the figure is the mirror image of the first image.
So, the mirror image of the third image is,
Thus, the answer is figure A.
13. The velocity of light in vacuum is:
A. 3 × 108 ms-1
B. 2 × 108 ms-1
C. 3 × 107 ms-1
D. 3 × 106 ms-1
Solutions
- The velocity of light in vacuum is 3 × 108 ms-1.
- It is the maximum velocity of light, i.e. light travels fastest in vacuum.
- As the medium gets denser, the velocity of light reduces, because the photons are hindered by the medium particles.
- The velocity of light in a medium is given by, v = c/n, where c is the velocity of light in vacuum and n is the refractive index of that medium.
- The velocity of light in water is 2.25 × 108 m/sec, and velocity of light in glass is 2 × 108 m/sec.
14. A and B can complete a task in 12 days. However, A had to leave a few days before the task was completed and hence it took 16 days in all to complete the task. If A alone could complete the work in 21 days, how many days before the work getting over did A leave?
A. 7
B. 5
C. 9
D. 3
Solutions
Given A alone can complete the work in 21 days
A and B together can complete the same work in 12 days
⇒ Total work = L.C.M of (12, 21) = 84
⇒ One day work of A = 4
⇒ One day work of (A + B) = 7
⇒ One day work of B = 3
Let A worked for x days and B worked for 16 days
⇒ 4x + 3 × 16 = 84
⇒ x = 9 days
∴ A left the work before (16 – 9 =) 7 days.
15. Which of the following sportspersons wrote the autobiographical book “Ace Against Odds”?
A. Saina Nehwal
B. Anil Kumble
C. Yuvraj Singh
D. Sania Mirza
Solutions
- Sania Mirza wrote the autobiographical book “Ace Against Odds”.
- It was published in July 2016.
- The book describes her journey of becoming a tennis star.
- Saina Nehwal is an Indian shuttler and her autobiography is “Playing to win”.
- Anil Kumble is a retired Indian cricketer and he wrote the book “Wide Angle”.
- Yuvraj Singh is also an Indian cricketer and his autobiography is “The Test of My Life: From Cricket to Cancer and Back”.
16. Who is the captain of the Indian men’s volleyball team as of February 2018?
A. K Udayakumar
B. Navjit Singh
C. GR Vaishnav
D. Gurinder Singh
Solutions
- Gurinder Singh is the captain of the Indian men’s volleyball team.
- In Pro Volleyball league, he plays for Ahmedabad team.
- The team is managed by Volleyball Federation of India.
- GR Vaishnav is a player in the Indian men’s Volleyball team.
- K. Udaykumar is a former player in the Indian men’s Volleyball team. He has also served as the former captain of the Indian men’s Volleyball team.
17. Who won the 2017 Women’s Hockey Asia Cup held in Japan?
A. China
B. India
C. Japan
D. South Korea
Solutions
India won the 2017 Women’s Hockey Asia Cup.
India defeated China to win the tournament.
It was the 9th edition of the Women’s Hockey Asia Cup and India won its 2nd title.
The tournament was held in Kakamigahara, Gifu, Japan.
With this win, India qualified for the 2018 World Cup in England.
18. Pipes A, B and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?
A. 36/11
B. 48/11
C. 60/11
D. 24/11
Solutions
Given
A and B can fill the empty cistern in 4 and 10 hours respectively and C can empty the filled cistern in 6 hours.
Calculation:
Let the total capacity of cistern = L.C.M. of (4, 6, 10) = 60
⇒ 1 hour work of A = 15
⇒ 1 hour work of B = 6
⇒ 1 hour work of C = -10
⇒ 1 hour work of (A + B + C) = 15 + 6 – 10 = 11
Given that the cistern is already 3/5 filled.
∴ The Remaining capacity = 1 – 3/5 = 2/5
⇒ Remaining capacity = 2/5 × 60 = 24
∴ Time taken to fill the cistern = 24/11 hours
19. The difference between the place values of ‘4’ and ‘2’ in the number 833749502 is:
A. 49998
B. 30098
C. 39098
D. 39998
Solutions
Concept:
Place Value: Each digit in a number has a value depending on its place called the place value of the digit, whereas Face value is simply defined as the digit itself within a number.
Calculation:
Place value of 4 in 833749502 = 40000
Place value of 2 in 833749502 = 2
∴ Difference = 39998
20. Which one of the following is not a borderline element?
A. Boron
B. Silicon
C. Polonium
D. Bismuth
Solutions
Bismuth is not a borderline element in the periodic table.
Metalloids are termed as the borderline elements, as they possess the properties of both metals and non-metals and forms a borderline between the two.
Thus, boron (B), silicon (Si), germanium (Ge), arsenic (As), antimony (Sb), tellurium (Te), polonium (Po) and astatine (At) are termed as the borderline elements.
21. In an alloy of German Silver the ratio of copper to zinc was 17 : 7, while that of nickel to zinc was 4 : 3. The ratio of copper to zinc to nickel in the alloy was:
A. 17 : 21 : 4
B. 51 : 21 : 28
C. 68 : 28 : 21
D. 17 : 28 : 3
Solutions
GIVEN:
Ratio of copper to zinc in alloy = 17 : 7
Ratio of nickel to zinc in alloy = 4 : 3
CALCULATION:
⇒ Copper : Zinc = (17 : 7) × 3 = 51 : 21
⇒ Zinc : Nickel = (3 : 4) × 7 = 21 : 28
∴ Copper : Zinc : Nickel = 51 : 21 : 28
22. The number of solutions of the pair of linear equations x + 2y – 8 = 0 and 2x + 4y = 16 is
A. 0
B. 1
C. Infinitely many
D. 2
Solutions
Given equation are x + 2y = 8 and 2x + 4y = 16 or x + 2y = 8,
Both the given equations are same
∴ The question may have infinite solutions.
23. Which Indian stock exchange is planning to launch its own Initial Public Offering (IPO)?
A. Saurashtra Kutch Stock Exchange (SKSE)
B. National Stock Exchange (NSE)
C. Cochin Stock Exchange (CoSE)
D. Bombay Stock Exchange
Solutions
- National Stock Exchange (NSE) is planning to launch its own Initial Public Offering (IPO).
- The announcement was made by its MD and CEO Vikram Limaye.
- The exchange was established in the year 1992 and is headquartered in Mumbai. Nifty is the index of NSE.
- BSE is Asia’s oldest stock exchange established in the year 1875 and is headquartered in Mumbai. Sensex is the index of BSE.
- Saurashtra Kutch Stock Exchange (SKSE) is the stock exchange of Gujarat.
- Cochin Stock Exchange (CoSE) is the stock exchange in Kochi, Kerala.
24. An alloy is an example of:
A. Colloidal solution
B. Emulsion
C. Solid solution
D. Heterogeneous mixture
Solutions
- An alloy is an example of solid solution. Examples include steel, brass, bronze, etc.
- A combination of metal with other metal or with other element is termed as an alloy.
- In addition to solid solution, an alloy can also be a mixture of metallic phases.
- A heterogeneous system in which one substance is dispersed as very fine particles in another substance called dispersion medium, is termed as a colloid.
- A colloidal solution in which the dispersed substance and dispersion medium both are liquid, is termed as the emulsion.
- A mixture that is non-uniform in composition is termed as the heterogeneous mixture.
25. Fill in the blank with the most appropriate option.
The pitch of a sound depends on its_____.
A. Frequency
B. Wavelength
C. Amplitude
D. Timbre
Solutions
- The pitch of a sound primarily depends on its frequency. Higher the frequency, higher is the pitch.
- Loudness and spectrum are the other parameters on which the pitch of a sound depends.
- The number of oscillations per unit time gives the frequency of the sound wave.
- The wavelength of a sound wave is the distance between two consecutive compressions (C) or two consecutive rarefactions (R).
- The amplitude is the maximum disturbance in the medium on either side of the mean value. It determines the loudness or softness of the sound.
- The quality of sound that helps in differentiating the two different sounds, is termed as timbre.
26. If Metal A displaces Metal B from its solution, then Metal A_____.
A. Is more reactive than B
B. Is less reactive than B
C. Is heavier than B
D. Has the same reactivity as B
Solutions
- If Metal A displace Metal B from its solution, then Metal A is more reactive than B.
- Reactive elements displace the less reactive elements in a chemical reaction.
- The reactive element loose electrons readily to attain stable electronic configuration and thus reduce other element and oxidize themselves.
- Reactive metals are found on top of the reactivity series.
- Example: Fe + CuSO4 → FeSO4 + Cu
27. Solve the following:60 ÷ [(16 – 8 ÷ 2) ÷ 3] = ?
A. 3
B. 15
C. 1
D. 1/3
Solutions
? = 60 ÷ [(16 – 8 ÷ 2) ÷ 3]
⇒ ? = 60 ÷ [(16 – 4) ÷ 3]
⇒ ? = 60 ÷ [12 ÷ 3]
⇒ ? = 60 ÷ 4
∴ ? = 15
28. Who took charge as the Chief Minister of Goa after the 2017 elections?
A. Bharat Vir Wanchoo
B. Manohar Parrikar
C. Churchill Alemao
D. Dayanand Narvekar
Solutions
- Manohar Parrikar took charge as the Chief Minister of Goa after the 2017 elections.
- Prior to this, he served as the CM of Goa from 2000-2005 and 2012-2014.
- From 2014-2017 he served as the Defence Minister of India.
- Bharat Vir Wanchoo was the Governor of Goa from May 2012 to July 2014.
- Churchill Alemao was the Chief Minister of Goa and the MP of the 14th Lok Sabha.
- Dayanand Narvekar is the former Speaker of the Legislative Assembly of Goa. He served as the Finance Minister of Goa.
29. Select the correct mirror image of the problem figure from the given answer figures.
A. B
B. A
C. C
D. D
Solutions
Thus, the correct mirror image of the given image is figure C.
30. Ages of Lalu and Balu are in the ratio of 1 : 2, after 7 years their ages ratio changes to 3 : 5. The elder person age is:
A. 32
B. 24
C. 20
D. 28
Solutions
Raito of present ages of Lalu and Balu = 1 : 2,
Let the age of Lalu be ‘x’ and Balu be ‘y’
⇒ x/y = 1/2
⇒ y = 2x
after 7 years the ratio changes to 3 : 5,
⇒ (x + 7) / (y + 7) = 3/5
⇒ (x + 7) / (2x + 7) = 3/5
⇒ 5x + 35 = 6x + 21
⇒ x = 14
⇒ y = 28
∴ Elder person age = 28 years
31. In sexual reproduction a parent contributes:
A. Half of their chromosomes
B. Three-fourth of their chromosomes
C. All the chromosomes
D. One-fourth of their chromosomes
Solutions
- In sexual reproduction a parent contributes half of his chromosomes.
- Half of the chromosomes are contributed by the mother and half by the father. In humans, there are 23 pairs of chromosomes (22 pairs autosomes and 1 pair sex chromosomes). 23 chromosomes come from father and 23 from mother.
- The type of reproduction in which the combination of genetic material of two individuals of different sexes takes place, is termed as sexual reproduction. Male and female gametes fuse to develop an offspring.
- The other type of reproduction is asexual reproduction in which only a single parent is involved.
32. To get number 40, the number 
should be multiplied with
A. 
B.
C. 
D. 
Solutions
Let the number be ‘x’,
33. Select the option that will correctly fit in the blank space in the following figure.
A. 
B. 
C. 
D. 
Solutions
Thus the image that completes the pattern is image at option 1.
34. Which one of the following would be INCORRECT to use?
A. An atom of a compound
B. A mole of an element
C. A mole of a compound
D. An atom of an element
Solutions
- An atom of a compound is the INCORRECT usage.
- Since molecules are the building blocks of a compound, therefore the correct usage would be “A molecule of a compound”.
- A compound has molecules made of atoms of different elements.
- Since an element is formed from atoms, “An atom of an element” is correct to use.
- “A mole of an element” is the amount of the element that contains 6.022 × 1023 atoms of which it is made up of.
- “A mole of a compound” is the amount of the compound that contains 6.022 × 1023 molecules of which it is made up of.
35. Which one of the following animals reproduce by budding and can also carry out regeneration?
A. Hydra
B. Plasmodium
C. Planaria
D. Yeast
Solutions
- Hydra can reproduce by regeneration and budding.
- 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.
- In regeneration, regrowth of damaged or lost part takes place.
- Hydra belongs to Phylum Coelenterata.
- Yeast is a fungi and it reproduces asexually through budding.
- Plasmodium is a protozoan and it has sexual cycle in mosquito and asexual cycle in humans. In asexual cycle it undergoes multiple fission.
- Planaria reproduces asexually through regeneration. In fact it possess the highest power of regeneration.
36. ‘Square’ is related to ‘Line’ in the same way as ‘Cube’ is related to___.
A. Rectangle
B. Square
C. Point
D. Circle
Solutions
Four ‘Lines’ are connected to form a ‘Square’. Similarly, six ‘Squares’ are connected to form a ‘Cube’.
Thus ‘Cube is related to ‘Square’.
37. What are transition elements?
A. Elements whose two outermost shells are incomplete
B. Elements which possess properties of both, metals and non- metals
C. They have eight electrons in the outermost shell
D. Elements whose three outermost shells are incomplete
Solutions
- Transition elements are those elements whose two outermost shells are incomplete.
- These elements have partially filled d-subshell in ground state or any of their common oxidation state and are commonly referred as d-block transition elements.
- The generalised electronic configuration of these elements is (n-1) d1–10 ns1–2.
- The d-block elements are categorised as 1st series transition elements, 2nd series transition elements, 3rd series transition elements and 4th series transition elements.
- The examples are:- Cu, Zn, Ag, Cd, Au, Hg, etc.
- The f-block elements are termed as inner transition elements.
38. Direction: Study the following graph and answer the question that follows.
If the total number of bikes sold in 2009 was 10000 how many more yellow bikes were sold than green ones?
A. 200
B. 2000
C. 1000
D. 800
Solutions
Number of yellow bikes sold in 2009 = 10% of 10000 = 1000
Number of green bikes sold in 2009 = 8% of 10000 = 800
∴ Required number of bikes = 1000 – 800 = 200
39. Mechanical energy is the combination of kinetic energy and______.
A. Heat energy
B. Chemical energy
C. Potential energy
D. Nuclear energy
Solutions
Mechanical energy is the combination of kinetic energy and potential energy.
Mechanical energy is defined as the sum total of kinetic energy and potential energy in an object that is utilized to do a work.
Mechanical energy is the form of energy that is related to position and motion of an object.
The flow of energy between two objects having difference in their respective temperatures, is termed as heat energy.
The energy stored in the bonds of a chemical compound, is termed as chemical energy.
The energy that is stored in nucleus of an atom, is termed as the nuclear energy. It is of two types: Nuclear fusion energy and Nuclear Fission energy.
40. Which of the following is the main thinking part of the human brain?
A. Hind-brain
B. Cerebellum
C. Mid-brain
D. Fore-brain
Solutions
- Fore-brain is the main thinking part of the human brain.
- Fore-brain comprises of Cerebrum, Thalamus and Hypothalamus.
- The cerebrum controls all the voluntary activities like thinking, learning, reasoning, etc.
- Hind-brain comprises of Pons, Cerebellum and Medulla oblongata. The Medulla contains centres of respiration, cardiovascular reflexes, etc.
- Cerebellum maintains orientation, posture and equilibrium of the body.
- Mid-brain comprises of four lobes called corpora quadrigemina.
41. Consider the given statement to be true and decide which of the conclusions logically follows (s) from the statements.
Statements:
Some angels are gods.
All living being are gods.
Conclusions:
1. Some gods are angels.
2. Some living beings are gods.
A. Nether 1 nor 2 follows
B. Only conclusion 2 follows.
C. Both 1 and 2 follow.
D. Only conclusion 1 follows.
Solutions
The least possible Venn diagram for the given statements is as follows,
Conclusions:
1. Some gods are angels → True. (as some angels are gods)
2. Some living beings are gods → True. (as all living being are gods)
Hence, both the conclusions follow.
42. Select the option that represents the number of triangles in the given figure is.
A. 10
B. 8
C. 11
D. 9
Solutions
The given figure may be labelled as below:
The triangles in the figure are:
agb, afg, abd, afd, bgd, baf, bcd, bfd, def, dfg.
Thus, there are total 10 triangles in the given figure.
43. The area of a square is equal to its side, if the side is 1 unit.
A. Always
B. Sometimes
C. Often
D. Never
Solutions
Given side of the square = 1 unit
⇒ Area of square = 1 × 1 = 1 sq. unit
∴ Area of square is always equal to its side when the side is 1 unit.
44. Which of the following is the primary sex organ in man?
A. Prostrate
B. Testis
C. Vas deferens
D. Seminal vesicles
Solutions
- Testis is the primary sex organ in man.
- Testis are situated in scrotum and contain seminiferous tubules in which sperms are produced.
- Seminiferous tubules also contain Sertoli cells which provide nourishment to male germ cells.
- The Leydig cells of testis produce the male hormones (androgens).
- Seminal vesicles and Prostrate are the male accessory glands. The secretion of these glands contains enzymes, fructose and some proteins. Bulbourethral glands are also present. The secretion of these glands help in lubrication of the penis.
- Vas deferens is the male accessory duct that carries the semen from the epididymis to ejaculatory duct.
45. Who is the author of the Indian English Novel ‘When Dimple Met Rishi’ published in 2017?
A. Chetan Bhagat
B. Rahul Mehta
C. Sandhya Menon
D. Nidhi Chanani
Solutions
- Sandhya Menon is the author of the Indian English Novel ‘When Dimple Met Rishi’ published in 2017.
- The book is a young adult romance and a stress-buster.
- Other books written by Sandhya Menon are – From Twinkle, with Love, As Kismet Would Have It, There’s Something about Sweetie, etc.
- Famous books by Chetan Bhagat include – The 3 Mistakes of My Life, Five Point Someone, One Night At the Call Centre, 2 States, Half Girlfriend, etc.
- Books by Rahul Mehta – No Other World, Quarantine: Stories, A Monday @40, etc.
- Books by Nidhi Chanani – Misty: The Proud Cloud, Pashmina, I Will be Fierce, etc.
46. One of the largest salt deserts in the world, the ‘Rann of Kutch’ is primarily located in which Indian state?
A. Madhya Pradesh
B. Gujarat
C. Telangana
D. Assam
Solutions
- ‘Rann of Kutch‘ is located in Gujarat.
- It is one of the largest salt deserts in the world and is designated as a Ramsar Wetland.
- The area is inhabited by the Kutchi people.
- There are various protected areas located in the Rann of Kutch region like Kutch Desert Wildlife Sanctuary, Kutch Bustard Sanctuary, Indian Wild Ass Sanctuary, etc.
- Also, the International Border between India and Pakistan is formed by the northern boundary of the Greater Rann of Kutch.
47. The ________ architecture mainly consist Chaityas, Viharas, Stupas and Stambhas.
A. Maurya
B. Buddhist
C. Hindu
D. Mughal
Solutions
- The Buddhist architecture mainly consists of Chaityas, Viharas, Stupas, and Stambhas.
- Chaitya and Viharas are the architectures related to caves.
- Chaityas – worship place. Famous Chaitya:- Karle Chaitya, Nasik Chaitya, etc.
- Viharas – dwelling place of monks. Famous Viharas:- Junnar Vihara, Konkade Vihara, etc.
- A Stupa is a hemispherical structure that contains the remains of Buddhist monks, used as a place of meditation and is situated in Chaityas. Famous Stupas:- Sanchi Stupa, Bharhut Stupa, etc.
- Stambhas are the pillars in the Buddhist architecture that bear inscriptions, etc. on their shafts. Famous Stambha:- Ashoka Stambha
48. Which compound is formed when a Magnesium ribbon is burnt in air?
A. Magnesium Nitrate
B. Magnesium Carbonate
C. Magnesium Oxide
D. Magnesium Nitride
Solutions
When Magnesium (Mg) ribbon is burnt in air, Magnesium Oxide (MgO) is formed.
A bright white light is produced when the ribbon is burnt and powdery ash i.e. MgO is formed.
The reaction is a highly exothermic reaction, i.e. a lot of heat is produced.
The oxygen in the air reacts with Mg to form MgO.
2Mg + O2 → 2MgO + energy; is the balanced equation for this reaction.
49. If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divide by x – 3, leaves a remainder of 39, then a + b = ?
A. -14
B. -38
C. 14
D. 38
Solutions
Let f(x1) = x2 + ax + b
⇒ f(-3) = (-3)2 + a(-3) + b = -1
⇒ 9 – 3a + b = -1 —(1)
Let f(x2) = x2 + bx + a
f(3) = 32 + b(3) + a = 39
⇒ 9 + 3b + a = 39 —(2)
On 3 × Equation 1 – Equation 2,
⇒ 18 – 10a = -42
⇒ 10a = 42 + 18 = 60
⇒ a = 6
Substitute a = 6 in equation (1)
⇒ 9 – 18 + b = -1
⇒ b = 8
∴ a + b = 6 + 8 = 14
50. If V is the brother of U, U is the sister of W and X is the husband of U, then U is V’s______.
A. Aunt
B. Sister
C. Sister-in-law
D. Mother
Solutions
Representation of statements in family tree.
Thus, U is V’s sister.
51. Consider the given statement as true and decide which of the given conclusions can definitely be drawn from the given statements.
Statements:
Dhoni is a good batsman.
Batsman are smart.
Conclusions:
1. All smart people are batsman
2. Dhoni is smart.
A. Only conclusion 2 follows
B. Only conclusion 1 follows
C. Both 1 and 2 follow
D. Neither 1 nor 2 follows
Solutions
The least possible Venn diagram for the given statements is as follows,
Conclusions:
1. All smart people are batsman → it’s possible but not definite, thus false.
2. Dhoni is smart → true.
Thus, only conclusion 2 follows.
Note: There is “a” in the statement that means “some”.
52. RB75E%M2W48Q9#B2A$MS
In the above sequence which term is third to the right of the twelfth term from the left end?
A. #
B. B
C. A
D. 2
Solutions
Given series: R B 7 5 E % M 2 W 4 8 Q 9 # B 2 A $ M S
12th term from left end: Q
3rd term from the right of Q: B
Thus, the required term is B.
53. Consider the given statement as true and decide which of the given conclusions can definitely be drawn from the given statements.
Statements:
Some eagles are kites. All kites are birds
Conclusions:
1. Some birds are eagles.
2. Some eagles are birds.
A. Neither 1 nor 2 follows.
B. Only conclusion 1 follows
C. Only conclusion 2 follows.
D. Both 1 and 2 follow.
Solutions
The least possible Venn diagram for the given statements is as follows,
Conclusions:
1. Some birds are eagles → true.
2. Some eagles are birds → true.
Thus, both the conclusions follow.
54. The base of a triangle is half the base of a parallelogram having the same area as that of the triangle. The ratio of the heights of the triangle to the parallelogram will be:
A. 1 : 4
B. 4 : 1
C. 2 : 1
D. 1 : 2
Solutions
Let the base of parallelogram = b
⇒ Base of triangle = b/2
Let the height of parallelogram be h1 and height of triangle be h2
Given that the area of parallelogram is equal to area of triangle
⇒ 1/2 × b/2 × h2 = b × h1
∴ h2 ∶ h1 = 4 ∶ 1
55. Direction: Parties and the seats won by them are listed in the following table. Study the table given below carefully and answer the following question.
| S. No | Party | South | East | West | North |
| 1 | A | 40 | 37 | 35 | 27 |
| 2 | B | 6 | 26 | 76 | 86 |
| 3 | C | 83 | 71 | 4 | 21 |
| 4 | D | 1 | 7 | 3 | 11 |
Based on the given data, the total number of candidates elected is _______.
A. 534
B. 524
C. 535
D. 543
Solutions
Seats won by party A = 40 + 37 + 35 + 27 = 139
Seats won by party B = 6 + 26 + 76 + 86 = 194
Seats won by party C = 83 + 71 + 4 + 21 = 179
Seats won by party D = 1 + 7 + 3 + 11 = 22
∴ Total number of candidates = 534
56. Consider the given question and decide which of the following statements is sufficient to answer the question.
If X scored an average of 50 marks in History, Language and Science, how much did he score in Science?
Statements:
1. his average score in History and Language is 25.
2. He got 30 marks in Language.
A. Both 1 and 2 are sufficient to answer the given question.
B. 2 alone is sufficient while 1 alone is not sufficient to answer the given question.
C. 1 alone is sufficient while 2 alone is not sufficient to answer the given question.
D. Neither 1 nor 2 is sufficient to answer the given question.
Solutions
Given average in history, language and science = 50
⇒ History + Language + Science = 50 * 3 = 150
From statement 1:
average score in History and Language is 25,
⇒ (History + Language)/2 = 25
⇒ History + Language = 50
⇒ Science = 150 – 50 = 100
From statement 2:
Marks in language = 30
⇒ We can’t find marks in science using only statement 2
∴ 1 alone is sufficient while 2 alone is not sufficient to answer the given question.
57. Select the missing term based on the given related pair
A. Crowd
B. Swarm
C. Flock
D. Army
Solutions
A bunch is a group of the same things.
Similarly,
A group of sheep is called a flock, herd or mob.
Thus Sheep is related to Flock.
58. Simple interest on a certain sum of money for 3 years at 5% per annum is Rs. 5250. What will be the compound interest on that sum at the same rate for the same period?
A. Rs. 5510.88
B. Rs. 5516.88
C. Rs. 5512.88
D. Rs. 5517.88
Solutions
Simple interest = (P × T × R)/100
⇒ (P × 3 × 5)/100 = 5250
⇒ P = 35000
C.I = P(1 + R/100)n – P
⇒ C.I = 35000(1 + 5/100)3 – 35000
⇒ C.I = 35000(1 + 5/100)3 – 35000
⇒ C.I = 40516.88 – 35000
∴ C.I = Rs. 5516.88
59. Consider the argument and decide which of the given assumptions is / are implicit.
Argument:
Today is Sunday.
Assumption:
1. Tomorrow is Monday.
2. Today is a holiday.
A. Only assumption 1 follows
B. Only assumption 2 follows
C. Neither 1 and 2 follows
D. Both 1 and 2 follows
Solutions
It’s obvious that there will be Monday after Sunday.
So, assumption 1 follows the argument.
Some people even work on Sunday and some offices are open on Sunday.
So not all Sunday are holiday.
So, assumption 2 doesn’t support the argument.
Thus, only assumption 1 is true.
60. Select the option that will correctly fit in the blank space in the following figure.
A. B
B. D
C. A
D. C
Solutions
Here in the given image the third figure in the row is the common part of the first two figures.
Thus, the answer figure is figure C.
61. Select the most suitable Venn diagram to represent the following relationship.
India, Maharashtra and Kerala
A. 
B. 
C. 
D. 
Solutions
Maharashtra and Kerala are the states of India which is a country.
Thus, the above image is the correct relationship among the given words.
62. Choose the correct figure that replaces the question mark.
A. C
B. A
C. D
D. B
Solutions
Here in the given image the third figure in the row is the non-common part of the first two figures.
Thus, the answer figure is figure C.
63. X drives 30 km east, then turns right and drives 30 km, then turns left and drives 20 km and then turns left and drives 30 km. How far is X from his/her initial position?
A. 20 km
B. 30 km
C. 60 km
D. 50 km
Solutions
Thus, X is at 50 km distance from the starting point.
64. Sita’s bucket has thrice the capacity as Ramu’s bucket. It takes 60 turns for Sita’s bucket to fill the empty drum. How many turns it will take for both the buckets of Sita’s and Ramu’s, having each turn together to fill the empty drum?
A. 45
B. 40
C. 50
D. 30
Solutions
Given that it takes 60 turns for Sita’s bucket to fill the empty drum.
Capacity of Sita’s bucket = 3(Capacity of Ramu’s bucket)
⇒ No. of turns for Ramu’s bucket to fill the empty drum = 60 × 3 = 180
Assume the capacity of drum = 180 units
⇒ Sita’s bucket capacity = 180/60 = 3 units
⇒ Ramu’s bucket capacity =180/180 = 1 unit
⇒ Sita’s bucket + Ramu’s bucket capacity in 1 turn = 3 + 1 = 4
∴ No. of turns needed when they together try to fill the empty drum = 180/4 = 45 turns
65. After his stint as the Reserve Bank Governor, which university (in the USA) did Raghuram Rajan join as professor of Finance?
A. Harvard Business School, Boston
B. Berkeley Haas, California
C. Booth School, Chicago
D. Columbia Business School, New York
Solutions
- Raghuram Rajan joined as a professor of Finance in the Booth School of Business at the University of Chicago.
- Mr. Rajan was the 23rd Governor of the Central Bank of India, the Reserve Bank of India (RBI) before Mr. Urijit Patel.
- He was RBI Governor between September 2013 and September 2016, i.e. for 3 years.
- He has also served as the Chief Economist and Director of Research at the IMF and Vice-Chairman of the BIS.
66. The centre of the reflecting surface of a spherical mirror is called the:
A. Radius
B. Centre of Curvature
C. Pole
D. Focus
Solutions
- The centre of the reflecting surface of a spherical mirror is called the Pole.
- The Pole lies on the surface of mirror and is represented as ‘P‘.
- Radius of Curvature:- It is the radius of the sphere of which the reflecting surface of a spherical mirror forms a part, and is represented as ‘R’.
- Centre of Curvature:- It is the centre of the sphere and the reflecting surface forms the part of that sphere. It is denoted by letter ‘C’.
- Focus:- The point at which the light rays concentrate or appear to concentrate after reflecting from the spherical mirror is called the focus of the spherical mirror. It is represented by letter ‘F’.
67. Surya works 3 times as fast as Ramya and is able to complete a piece of work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.
A. 20 days
B. 15 days
C. 25 days
D. 30 days
Solutions
Short Trick:
Total work = 40/2 × 3 = 60
Time taken by Surya and Ramya when they work together
= 60/4 = 15 days
Detailed Solution:
Efficiency ratio of Surya to Ramya = 3 : 1
⇒Ratio of time taken by Surya and Ramya = 1 : 3 (∵ time α 1/efficiency)
Let the time taken by Surya to complete the work alone be ‘x’ days and Ramya to complete the work alone be ‘3x’ days.
Given, 3x – x = 40
⇒ 2x = 40
⇒ x = 20
⇒ Time taken by Surya to complete the work alone = 20 days
⇒ Time taken by Ramya to complete the work alone = 60 days
⇒ Total work = Efficiency × No. of days
⇒ Total work = 3 × 20 = 60 units
⇒ One day work Surya = 3 units
⇒ One day work of Ramya = 1 units
∴ When they work together, time taken to complete the work = 60/4 = 15 days
68. The missing letter in the word ‘MA_T’ is:
A. R
B. C
C. P
D. O
Solutions
MACT, MAPT, MAOT isn’t a word which has a meaning.
But MART means a trade centre or market.
Thus ‘R’ is the correct alphabet.
69. Which of the following branches of mathematics was invented by Newton?
A. Calculus
B. Logic
C. Algebra
D. Geometry
Solutions
| Branches of Mathematics | Invented by | Country | Century in which they were invented |
| Calculus | Issac Newton | England | mid-17th century |
| Logic | Aristotle | Greece | 384-322 B.C.E |
| Algebra | Muhammad ibn Musa al-Khwarizmi | Persia | 9th century |
| Geometry | Euclid | Egypt | 300 B.C.E |
70. Which of the following scientist gave the law that governs the force of attraction / repulsion between two charged particles?
A. Charles Dufay
B. Michael Faraday
C. Archimedes
D. Charles Coulomb
Solutions
Charles Coulomb gave the law that governs the force of abreaction/ repulsion between two charged particles.
According to the Coulomb’s law, the force of attraction or repulsion between the two charges is directly proportional to the product of magnitude of charges and inversely proportional to the square of distance between the two charges.
F = k q1q2/r2. Here, ‘k’ is the proportionality constant, ‘q1‘ and ‘q2‘ are the charges and ‘r’ is the distance between the charges.
The law was given by Coulomb in the year 1785.
Charles Dufay worked on describing and explaining electrical phenomena.
Michael Faraday is famous for his laws of electrolysis and discovery of electromagnetic induction.
Archimedes gave the law of hydrostatics, popularly known as Archimedes principle.
71. In the following series, one letter is missing as shown by the question mark (?). Select the missing letter from the given options.
N, L, J, H,?
A. F
B. G
C. E
D. B
Solutions
The logic here is as follows,
N – 2 = L,
L – 2 = J,
J – 2 = H,
H – 2 = F
Thus, the next letter in the series is F.
72. (2, 14, 16), (3, 21, 24), (8, 56, 64), (5, 35, 41)
The set that does NOT belong to the group is:
A. (5, 35, 41)
B. (2, 14, 16)
C. (3, 21, 24)
D. (8, 56, 64)
Solutions
In 2, 14 and 16: 14 and 16 are the multiple of 2.
In 3, 21 and 24: 21 and 24 are the multiple of 3.
In 8, 56 and 64: 56 and 64 are multiple of 8.
But in 5, 35 and 41: 35 is the multiple of 5 but 41 is not the multiple of 5.
Thus (5, 35, 41) does not belong to the group.
73. From the top of a platform 7 m high, the angle of elevation of a tower was 30°. If the platform was positioned 50√3 m away from the tower, how tall was the tower?
A. 57 m
B. 50 m
C. 25√3 + 7 m
D. 25√3 m
Solutions
CE = Platform and AD = tower
Let C and A are tops of the platform and the towers respectively.
From ΔABC,
⇒ tan 30° = AB/50√3
⇒ AB = 50 m
∴ Height of the tower = 50 + 7 = 57 m
74. The volume of a right circular cone, with a base radius the same as its altitude, and the volume of hemisphere are equal. The ratio of the radii of the cone to the hemisphere is:
A. 2 : 1
B. √2 : 1
C. ∛2 : 1
D. 3√3 : 3√2
Solutions
Given that the radius of the cone = the height of the cone
Let the radius of cone be r and the radius of the hemisphere be R.
Given that the volume of the cone is equal to the volume of the hemisphere
⇒ 1/3πr2.r = 2/3πR3
⇒ r3 = 2R3
⇒ r3 = 2R3
∴ r ∶ R = ∛2 ∶ 1
75. Which one of the following is a cation?
A. Carbonate
B. Nitrate
C. Ammonium
D. Hydroxide
Solutions
- Ammonium is a cation.
- Cation is an ion (charged particles) that has a positive charge on it, whereas an anion has a negative charge on it.
- Atoms loose or gain electron in order to become stable, therefore they acquire positive or negative charge respectively.
- Ammonium ion:- NH4+ . The cation has a charge of +1.
- Carbonate ion:- CO32- . The anion has a charge of -2.
- Nitrate ion:- NO3– . The anion has a charge of -1.
- Hydroxide ion:- OH–. The anion has a charge of -1.
