SSC CGL Previous Paper (Held On: 6 March 2020 Shift 2) (Previous Year Paper)

According to the given information,

Average of K, L and M is 24

K + L + M/3 = 24

K + L + M = 72     ...1)

Average of K, L, M and N is 23

K + L + M + N/4 = 23

K + L + M + N = 92     ...2)

Substituting (1) in (2)

72 + N = 92

N = 20

R who is two years older than N replace K

R = 22

Average of R, L, M and N is 22.5

R + L + M + N/4 = 22.5

R + L + M + N = 90

22 + L + M + 20 = 90

L + M = 48

Substituting this in (1)

K + 48 = 72

K = 24

K is 24 years old.

Hence, “24” is the correct answer.

Weather comes first in the order.

It is followed by Weaver.

Weaver is followed by Weekly.

Weekly is followed by Weight.

Weight is followed by Weird.

Weird is followed by Wielded.

The correct dictionary order is,

Weather (2) → Weaver (4) → Weekly (1) → Weight (5) → Weird (3) → Wielded (6)

Weird comes fifth in the order.

Hence, “weird” is the correct answer.

The paper when unfolded looks like,

Hence, option 3 is the correct answer.

The cube when folded will have the faces opposite to each other as mentioned below.

Among the given options, option 4 correctly represents the faces of the cube when folded.

Hence, option 4 is the correct answer.

The pattern followed is,

Letter 'l' is constant, and the remaining letters are getting shifted one place in each pair.

Hence, “Option 2” is the correct answer.

Crop is produced by farmers.

Similarly,

Option 1 → Kitchen is a place where food is prepared.

Option 2 → Vegetables are used in cooking food.

Option 3 → Food is prepared by Chefs.

Option 4 → Food is prepared in Utensils.

‘Chef’ is related to the third word in the same way as the second word is related to the first word.

Hence, “chef” is the correct answer.

The pattern followed is,

Option 1 → 18, 9 → 1 + 8 = 9

Option 2 → 16, 7 → 1 + 6 = 7

Option 3 → 56, 2 → 5 + 6 = 11 → 1 + 1 = 2

Option 4 → 28, 5 → 2 + 8 = 10 → 1 +  0 = 1 not equal to 5

Addition of first number digit and represent it in one digit will give the second number in all case.

Hence, “28, 5” is the pair that is different.

Note: This is SSC's previous year's question and the answer given is option 1. Also, according to options, only the above logic follows.

The pattern followed is,

"tuvw" is written in alphabetical order and w, the 4th letter remains constant. Only tuv changes its place alternatively like tuv, uvt and vtu.

Hence, t t t t t is the correct answer.

The exact mirror image of the given figure when the mirror is held at the right sideis,

Hence, option 1 is the correct answer.

Interchanging the numbers using BODMAS rule,

Option 1 → 6, 4

6 + 4 × 7 – 27 ÷ 3 = 7 × 8 – 6 + 39 ÷ 3

6 + 4 × 7 – 9 = 7 × 8 – 6 + 13

6 + 28 – 9 = 56 – 6 + 13

34 – 9 = 69 – 6

25 is not equal to 63

Option 2 → 8, 7

4 + 6 × 8 – 27 ÷ 3 = 8 × 7 – 4 + 39 ÷ 3

4 + 6 × 8 – 9 = 8 × 7 – 4 + 13

4 + 48 – 9 = 56 – 4 + 13

52 – 9 = 69 – 4

43 is not equal to 65

Option 3 → 3, 4

3 + 6 × 7 – 27 ÷ 4 = 7 × 8 – 3 + 39 ÷ 4

3 + 6 × 7 – 6.75 = 7 × 8 – 3 + 9.75

3 + 42 – 6.75 = 56 – 3 + 9.75

45 – 6.75 = 65.75 – 3

38.25 is not equal to 62.75

Option 4 → 6, 8

4 + 8 × 7 – 27 ÷ 3 = 7 × 6 – 4 + 39 ÷ 3

4 + 8 × 7 – 9 = 7 × 6 – 4 + 13

4 + 56 – 9 = 42 – 4 + 13

60 – 9 = 55 – 4

51 = 51

Hence, option 4 is the correct answer.

The pattern followed is:

Column 1: 15 - 14 = 1

10 × 1 = 10

Column 3: 8 - 6 = 2

7 × 2 = 14

Column 4: 25 - 12 = 13

5 × 13 = 65

Similarly,

Column 3: 7- 3 = 4

4 × 4 = 16

Hence, the correct answer is 16.

The set which is represented by the given Venn diagram is,

Weeks, Months, Years

In years we have months and in months we have weeks.

Hence, option 3 is the correct answer.

The pattern followed is,

Hence, “eTd” is the correct answer.

Drawing the diagram for ‘R + S × T – V ÷ U’,

S is the son of U.

Hence, “son” is the correct answer.

The given figure is embedded in

Hence, option 4 is the correct answer.

According to the given information,

By comparison,

BRAVE is coded as,

BRAVE → YMXQN

Hence**, “YMXQN” i**s the correct answer.

The pattern followed is,

For BREATHER,

The place value of B is 2

The place value of R is 18, 1 + 8 = 9

The place value of E is 5

The place value of A is 1

The place value of T is 20, 2 + 0 = 2

The place value of H is 8

The place value of E is 5

The place value of R is 18, 1 + 8 = 9

So,

BREATHER is coded as 29512859

Similarly,

For AVIATION,

The place value of A is 1

The place value of V is 22, 2 + 2 = 4

The place value of I is 9

The place value of A is 1

The place value of T is 20, 2 + 0 = 2

The place value of I is 9

The place value of O is 15, 1 + 5 = 6

The place value of N is 14, 1 + 4 = 5

So,

AVIATION is coded as 14912965

Hence, “14912965” is the correct answer.

The pattern followed is,

(Number × 6) : (Number × 9)

For 78 : 117,

13 × 6 = 78

13 × 9 = 117

For 108 : 162,

18 × 6 = 108

18 × 9 = 162

Similarly,

For 90 : ?,

15 × 6 = 90

15 × 9 = 135

‘135’ is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.

Hence, “135” is the correct answer.

Drawing the Venn diagram,

Conclusion 1: Some magazines are books → True (This is definitely true)

Conclusion 2: No magazine is a book → False (This is definitely false)

Conclusion 3: No novel is a magazine → False (This is definitely false)

Conclusion 4: Some novels are books → True (This is definitely true)

Hence, “only conclusion 1 and 4” follow.

The number of triangles in the given figure is,

Hence, “22” is the correct answer.

The pattern followed is,

((Number)³, ((Number +Number) × Number), Number × 3)

(343, 98, 21)

7³ = 343

7 + 7 = 14, 14 × 7 = 98

7 × 3 = 21

Similarly,

Option 1 → (1331, 242, 33)

11³ = 1331

11 + 11 = 22, 22 × 11 = 242

11 × 3 = 33

Option 2 → (217, 72, 18)

6³ = 216, not 272

6 + 6 = 12, 12 × 6 = 72

6× 3 = 18

Option 3 → (1728, 288, 24)

12³ = 1728

12 + 12 = 24, 24 × 12 = 288

12 × 3 = 36, not 24

Option 4 → (512, 126, 27)

9³ = 729, not 512

9 + 9 = 18, 18 × 9 = 162

9 × 3 = 27

‘(1331, 242, 33)’ are related in the same way as are the numbers in the given set.

Hence, “(1331, 242, 33)” is the correct answer.

All the words has two vowels except SWJK.

Hence, the correct answer is SWJK.

The pattern followed is,

The ‘%’ symbol is moving clock – wise by two places.

And,

The symbols ‘$’ is moving anti clock – wise by two places and ‘O’ is moving anti – wise by one place.

The figure which will come next in the pattern is,

Hence, option 1 is the correct answer.

Copper, Iron and Silver are metals.

Whereas,

Brass is an alloy of copper and zinc.

Hence, “brass” is the odd one.

The pattern followed is,

11 + 1 = 12,

12 × 3 = 36,

36 + 5 = 41,

41 × 7 = 287,

287 + 9 = 296.

Hence, 287 is the correct answer.

Chauth and Sardeshmukh are associated with the taxation system of the Marathas.

Key Points

• Chauth was a daily tax or tribute levied by the Maratha Empire, from the beginning of the 18th century. This was a nominally levied annual tax on profits or output at 25 percent.
• It was levied on the lands that were under Mughal nominal control.
• The sardeshmukh was on top of the chauth an extra 10 percent tax.
• It was initiated by Koli Maharaja Som Shah of Ramnagar.

Additional Information

The Arid Forest Research Institute is located in Jodhpur.

• In the hot arid and semi-arid regions of Rajasthan and Gujarat, the Institute conducts scientific research in forestry to provide technologies to increase the vegetative cover and to preserve biodiversity.
• It functions under the Indian Council of Forestry Research and Education (ICFRE)(Ministry of Environment and Forests).
• It was established in 1988.
• The Institute is headed by the Director, with the assistance of a Group Manager (Research) and Facilities Manager.

Archana Kamath is associated with Table Tennis.

• She is the first player in Karnataka to hold that distinction in TT history.
• In 2014, She added to India's Table Tennis team.
• She was the only Indian to be picked on the ITTF World Cadet Challenge later that year to represent Team Asia.
• She was the only Indian to have received a Team Silver medal and was also awarded the ITTF Fair Play Trophy.

Anjum Chopra is a female Indian cricketer who won the BCCI C.K. Nayudu Lifetime Achievement Award for 2019.

• At the early age of 17, on 12 February 1995, she made her debut in one-day internationals against New Zealand at Christchurch.
• Anjum Chopra co-authored Women's Cricket World-A Journey from 1745-2013, the coffee table book.
• She is the first woman cricketer from India to have been awarded a Marylebone Cricket Club (MCC) honorary life membership.
• In 2014, She received the Padma Shree award.

The Congress approved the Gandhi Irwin Agreement in the Karachi Session of 1931.

Key Points

• This session was held from March 26-31.
• In the Second Round Table Conference, Mahatma Gandhi was elected to represent Congress.
• Sardar Patel presided over the Karachi session.
• The congress adopted a resolution on fundamental rights and economic policy outlining the social, cultural, and political agenda of the Party.
• Endorsement of Gandhi-Irwin pact. Hence statement 2 is correct.

The first electron shell which is the nearest to the nucleus never holds more than 'n' electrons, where 'n' is equal to 2.

• Electrons are part of the lepton particle family's first generation, and are usually considered to be elementary particles since they have no established components or substructure.
• It has a mass which is around 1/1836 that of the proton.
• The electron is discovered by J. J. Thomson.
• Danish physicist Niels Bohr postulated in 1913 that electrons existed in quantized states of space, with their energies determined by the angular momentum of the orbit of the electron around the nucleus.

The correct answer is Government of India Act, 1858.

• The Act that transferred the power from the British East India Company to the British Crown in India was the Government of India Act, 1858.
• This was an Act passed by the British Parliament on 2 August 1858.
• Lord Palmerston, then United Kingdom Prime Minister, proposed a bill for the transfer of power from the East India Company to the Crown by the Government of India.
• The Indian Rebellion of 1857 compelled the British Government to enact the Act.
• The Crown was empowered to name a Governor-General and presidential governors.

Oesophagus is the food tube.

• It is an organ in vertebrates, by which food travels from the pharynx to the stomach, aided by peristaltic contractions.
• This is a fibromuscular tube with an adult length of around 25 centimetres.
• This is one of the upper digestive system elements.
• Nutrition is absorbed through the mouth and passes through the pharynx first, and then into the oesophagus when swallowed.

NABARD(National Bank for Agriculture and Rural Development) was established in 1982.

• It is an Apex Financial Institution for Growth in India.
• It was formed to enforce the National Bank for Agriculture and Rural Development Act 1981 on 12 July 1982 on the recommendations of the B.Sivaramman Committee, (by Parliament Act 61, 1981).
• It is the India's Agriculture and Rural Development Specialized Bank.
• The headquarters is situated in Mumbai.

The Brahmani is an east-flowing river.

• The Brahmani is flowing in Odisha.
• It is formed by the confluence of the rivers Sankh and South Koel.
• The Sabarmati is a west-flowing river in India.
• The Sharavati is a westward flowing river in India.

The Earth rotate about its own axis in one hour is 15 degree.

• The Earth circles the sun, and in counter-clockwise motion revolves on its axis.
• It too rotates at an hourly speed of 1042 miles.
• The Earth rotates 360 degrees on its axis every 24 hours. Perhaps you might look at it like it takes a day to full a complete circle.
• The Earth rotates 15 degrees an hour, split into an hourly rate (360/24).

Meghalaya does NOT share its boundary with Bhutan.

• The  Indian states of West Bengal, Arunachal Pradesh, Sikkim, and Assam share their boundaries with Bhutan.
• The Kingdom of Bhutan and the Republic of India are separated by a 699 km long, regional border.
• The boundary between Bhutan and India is the only access to land that reaches Bhutan since the boundary with China is fully closed.
• Bilateral Border Management and Security for the Indian-Bhutan Group was formed to collaboratively assess and protect the border between the two countries.

Nepal hosted the 13th South Asian Games.

• The South Asian Games is a multi-sport biennial event that is held among the South Asian athletes.
• South Asia Olympic Council (SAOC), founded in 1983, is the governing body of those sports.
• Seven members currently join SAG, namely Bangladesh, Nepal,Bhutan, India, the Maldives, Pakistan and Sri Lanka.
• The first event was held in Nepal on September 1984

In July 2019, Sudarshan operation was launched by the BSF to fortify the Pakistan border in Punjab and Jammu.

• The exercise is called Sudarshan drawing from Lord Krishna's Sudarshan Chakra (or mythological wheel).
• It will span the entire length of India-Pakistan International Border over 1,000 km with which Jammu shares approximately 485 km of Pakistan border.
• On 1 December 1965, in the wake of the 1965 war between India and Pakistan, the Border Security Force was established to ensure the security of India's borders and related matters.
• It is an administratively managed government agency of the Union Ministry of Home Affairs (MHA).

Under 52^nd Amendments to the Constitution of India is defection to another party after election made illegal.

• The Bill aims to change the Constitution in order to provide for an elected Member of Parliament or a Legislature of State.
• The 61^st Amendment to Constitution of India, formally known as the Constitution Act 1988, reduced the voting age of elections to the Lok Sabha and the state legislatures from 21 years to 18 years.
• The 92^nd Amendment to Constitution of India amended the Constitution's Eighth Schedule to include the languages of Bodo, Dogri, Maithili and Santali, bringing the total number of languages mentioned in the schedule to 22.
• In Part III of the Constitution, the 86^th amendment to constitution of India in 2002, established the right to education as a constitutional right.

The Battle of Chausa was fought between Humayun and Sher Shah Suri.

• It was fought at Chausa, 10 miles southwest of Buxar, in modern-day Bihar, India, on 26 June 1539.
• Humayun fled the battlefield to save his own life. Sher Shah was triumphant, and Farīd al-Dīn Shēr Shah himself was crowned.
• Sher Shah Suri was the founder of the Suri Empire.
• He had introduced the rupee/rupiah currency.

The correct answer is  Bhimbetka

• Bhimbetka is a heritage site of Madhya Pradesh.
• The Bhimbetka rock shelters in central India are an archeological site spanning the prehistoric Paleolithic and Mesolithic periods as well as the historical period.
• It is situated in the Raisen district of Madhya Pradesh.
• It is a UNESCO world heritage site containing seven hills.
• This is one of the most important prehistoric complexes.

Buland Darwaza is NOT a part of the Qutub Complex.

• The Buland darwaza is situated in Fatehpur Sikri, Agra.
• It was built by Mughal Emperor Akbar in 1575 A.D.
• It was built to commemorate his victory over Gujarat.
• It is the world's highest gateway and is a Mughal architecture example.
• It shows development complexity and heights in the empire of Akbar.

The SASTRA - Ramanujan Prize is awarded in the field of Mathematics.

• It is established by the Shanmugha Academy of Arts, Science, Technology and Research (SASTRA) near Kumbakonam, India,
• It is awarded annually to a young mathematician who is considered to have done outstanding research in the fields of interest in Ramanujan.
• The age limit for the reward was set at 32 (the age Ramanujan died at), and the new award is $10,000.
• Srinivasa Ramanujan made important contributions to mathematical analysis, number theory, infinite series, and continuous fractions, including solutions to mathematical problems that were then considered unsolvable.

ISO 14001 certification pertains to Environmental Management Systems.

• It specifies the environmental management system requirements that may be used by an organization to improve its environmental performance.
• It is intended for use by an organization seeking to systematically manage its environmental responsibilities which contribute to the sustainability pillar of the environment.
• The ISO 9000 family of quality management systems is a set of specifications that helps companies ensure that they meet the needs of consumers and other stakeholders within a product or service-related legislative and regulatory requirements.
• ISO 27001 is a standard for the protection of information.
• ISO 22000 is an international standard for food safety established by the International Organization for Standardization.

Ozone at the higher level of the atmosphere is a product of UV radiation acting on oxygen molecules.

• Ultraviolet (UV) is electromagnetic radiation with a wavelength from 10 nm to 400 nm, shorter than that of visible light but longer than X-rays.
• It emitted by the Sun and is absorbed by oxygen and creates ozone in the ozone layer when single oxygen atoms emitted by dioxygen photolysis react with greater dioxygen.
• It has a higher frequency than violet light (and hence a shorter wavelength).

Mahasweta Devi is the author of the book 'Hajar Churashir Ki Maa'.

• It is a 1974 Bengali book, written by Mahasweta Devi, recipient of the Ramon Magsaysay Prize.
• This was published in 1974 on the background of the Seventies Naxalite Revolution.
• Mahasweta Devi was a self-recognized Communist, fighting for the rights and liberation of West Bengal, Bihar, Madhya Pradesh and Chhattisgarh tribal people (Lodha and Shabar).
• She has been awarded the Padma Shri and Padma Vibhushan civilian awards of India.

Alaknanda – Pindar is the correct pair in the context of rivers and their tributaries.

• The Alaknanda is a Himalayan river in the Uttarakhand.
• Because of its greater length and discharge, the Alaknanda is considered a source stream of the Ganges.
• The Pindar River originates from Pindari Glacier in Uttarakhand.
• The source of the Pindar river is in Karnaprayag, where it ends at its confluence with the Alaknanda River.

​​

In January 2020, India did sign an MoU with Bangladesh for a content exchange program between All India Radio and Betar.

• A Memorandum of understanding(MoU) is a kind of agreement between two (bilateral) or more (multilateral) parties.
• It communicates a cohesion of will between the parties, which implies a shared course of action expected.
• This is also used in cases where parties do not indicate a legal obligation or in circumstances where the parties are unable to create a legally enforceable contract.
• It is a more formal alternative to an arrangement between gentlemen.

Under the Article 368, the parliament can amend the Constitution.

• Amending the constitution of India is the process of making amendments to the fundamental law or supreme law of the country.
• The amendment process in the constitution is set out in Part XX (Article 368) of the Indian Constitution.
• This procedure preserves the sanctity of India's Constitution and holds a check on the Indian Parliament's arbitrary power.
• Article 368 does not set down the legislative process to be followed at various points of the amendment.

Average contribution of 24 students = 50

Sum of contribution of 24 students = 50 × 24 = 1200

Average contribution of 25 persons (24 students and 1 teacher) = 56

Sum of contribution of 25 persons = 56 × 25 = 1400

∴ Contribution of teacher = 1400 – 1200 = 200

Short Trick:

Contribution of teacher = 24 × (56 – 50) + 56 = 144 + 56 = 200

Given:

a + 1/a = 5

Formula Used:

a3 + 1/a3 = (a + 1/a)³ – 3(a + 1/a)

Calculation:

Using the above formula,

⇒ a3 + 1/a3 = (5)³ – 3(5)

⇒ a3 + 1/a3 = 125 – 15

⇒ a3 + 1/a3 = 110

∴ The value of a³ + 1/a³ = 110.

Speed of X = 6 km and speed of Y = 8 km

Speed ratio of X and Y = 6 : 8 = 3 : 4

Time ratio of X and Y = 4 : 3

As we know, Time is inversely proportional to speed.

The time difference = 15 min + 10 min = 25 min

4 – 3 unit = 1 unit

1 unit = 25 min

Time taking by X = 4 × 25 = 100 min = 100/60 hr

Distance covered by X in 100/60 hr = 100/60 × 6 = 10 km.

The distance between A and B = 10 km.

A = Amit, S = Sunil and D = Dinesh

Total work = LCM of (9, 12 and 18) = 36

Hence, efficiency of A + S = 4

Efficiency of S + D = 3

Efficiency of A + D = 2

Now, Efficiency of A + S + D = (4 + 3 + 2)/2 = 9/2

∴ A, S and D together work in = 36/(9/2) = 4 × 2 = 8 days

Given:

(x – 3y)³

Calculation:

(x – 3y)³

⇒ x³ – (3y)³ – 3 × x × 3y (x – 3y)

⇒ x³ – 27y³ – 9x²y + 27xy²

Hence, coefficient of x = 27y²

sin 0° sin 30° sin 45° sin 60° sin 90°

⇒ 0

As we know,

sin 0° = 0

(cos²θ –1)(1 + tan²θ) + 2tan²θ = 1

⇒ (-sin² θ) sec² θ + 2 tan² θ = 1

⇒ (-sin² θ/cos² θ) + 2 tan² θ = 1

⇒ (-tan² θ) + 2 tan² θ = 1

⇒  tan² θ = 1

⇒ tan θ = 1

And 0° ≤ θ ≤ 90°

∴ θ = 45

Shortcut Trick

(cos²θ –1)(1 + tan²θ) + 2tan²θ = 1

Put θ = 45

(cos²45 –1)(1 + tan²45) + 2tan²45 = 1

⇒ (1/2 – 1) (1 + 1) + 2 × 1 = 1

⇒ (-1/2) × 2 + 2 = 1

⇒ (-1) + 2 = 1

⇒ 1 = 1 (satisfied)

Number of works whose earning less than Rs. 1100 = 4 + 15 + 10 + 10 = 39

From the following figure, Give, AB = 10, CD = 7, SD = 4  and AS = 5.

As we know,

CD + AB = AD + BC

⇒ 7 + 10 = (AS + SD) + BC

⇒ 17 = 4 + 5 + BC

⇒ BC = 17 – 9

∴ BC = 8

As we know,

For a triangle, difference of two sides < third side of triangle < addition of third side of triangle

8 – 5 < third side < 8 + 5

⇒ 3 < third side < 13

In given options, only option 3 i.e. 4 cm lies in between required range.

Total number of notes = 12

Ratio of number of 10 rupees and 50 rupees notes = 1 : 2 = x : 2x

x + 2x = 12

⇒ 3x = 12

⇒ x = 4

Number of 10 rupees notes = 4

Number of 50 rupees notes = 4 × 2 = 8

∴ Total money in the wallet = (4 × 10) + (8 × 50) = 40 + 400 = 440

AB = 8 cm, AC = 10 cm and AD = 17 cm

∠ABD = 90°

As we know,

In ΔABC,

AC² = AB² + BC²

⇒ 10² = 8² + BC²

⇒ BC² = 100 – 64 = 36

⇒ BC = √36 = 6 cm

In ΔABD,

AD² = AB² + BD²

⇒ 17² = 8² + BD²

⇒ BD² = 289 – 64 = 225

⇒ BD = √225 = 15 cm

∴ CD = BD – BC = 15 – 6 = 9 cm

Let total number of students be 100x

Number of students who did not appear = 100x × (4/100) = 4x

Number of appeared students = 100x – 4x = 96x

Number of appeared students who could not pass = 96x × (10/100) = 9.6x

Remaining students who passed = 96x – 9.6x = 86.4x

Number of students who only passed but couldn’t get distinction marks = 86.4x × 1/2 = 43.2x

Now, 43.2x = 432

⇒ x = 432/43.2

⇒ x = 10

∴ Total number of students = 100 × 10 = 1000

From the following figure,

∠APO = 35°

As we know,

∠APO = ∠BPO = 35°      (ΔAPO ≅ ΔBPO)

As we know,

A number is divisible by 4 if its last 2 digit is divisible by 4.

Here the last two digits which can be divisible by 4 are:

24, 44, 64, 84

In the question, it has asked to find the largest number which can replace in tenth place, therefore from the above relation 84 is the highest number whose tenth place is 8.

d₁ = 16 and d₂ = 12

As we know,

Area of rhombus = (1/2) × d₁ × d₂ = 1/2 × 16 × 12 = 96 cm²

113 × 87

⇒ (100 + 13) (100 – 13)

⇒ 100² - 13²

⇒ 10000 – 169

⇒ 9831

(sin30 sin60)/(cos60 cos30) – tan 45

⇒ sin30 sin60/sin30 sin60 – 1        [sin (90 – θ) = cosθ and cos (90 – θ) = sinθ]

⇒ 1 – 1

⇒ 0

Let the manufacturing cost be x, then

x × (11/10) × (23/20) = 7590

⇒ x = 7590 × (20/23) × (10/11)

∴ x = Rs. 6000

Shortcut Trick

Relation between CP to MP = (100 – Discount) : (100 + Profit)

⇒ (100 – 10) : (100 + 8) = 90 : 108

Let CP = 90 and MP = 108

Profit percentage 108 – 90 = 18

Profit percentage = 18/90 × 100 = 20%

Alternate Method

Let he MP of the table be Rs. 100

SP of the table = 100 × 90/100 = 90

CP of the table = 90 × (100/108) = 1000/12

For easy calculation take ratio of CP to MP = 1000/12 : 100 = 10 : 12

Profit = 12 – 10 = 2

∴ Profit percentage = 2/10 × 100 = 20%

Given : Total number of students in a class is 40, So here the number of students row data given in cumulative frequency format.

Students of height 170 - 175 is 40 - 35 = 5

Students of height 165 - 170 is 35 - 25 = 10

Number of students whose height are 165 or more = 5 + 10 = 15

Total number of boys in the college = 18 + 47 + 40 + 30 = 135

Total number of girls in the college = 35 + 25 + 45 + 10 = 115

∴ Ratio of boys to girls = 135 : 115 = 27 : 23

Shortcut Trick

For 2 years, the difference between Compound Interest (CI) and Simple Interest (SI) is: Difference = P × (R/100)²

160 = 25,000 × (R/100)²

160 = 25,000 × R² / 10,000

160 = 2.5 × R² ⇒ R² = 64

R = 8%

∴ The correct answer is 8%.

Alternate Method

Given:

Principal (P) = ₹25,000

Time (T) = 2 years

Interest Difference (CI − SI) = ₹160

Formula Used:

For 2 years, Difference (D) = P × (R/100)²

Calculations:

⇒ 160 = 25,000 × (R/100) × (R/100)

⇒ 160 = 25,000 × R² / 10,000

⇒ 160 = 2.5 × R²

⇒ R² = 160 / 2.5

⇒ R² = 1600 / 25

⇒ R² = 64

⇒ R = √64

⇒ R = 8

∴ The correct answer is 8%.

Additional Information

Difference for 3 Years

The difference between CI and SI for 3 years is given by: D = P × (R/100)² × (3 + R/100).

Successive Interest Rates

For Compound Interest, if the rate for the 1st year is R₁ and for the 2nd year is R₂, the effective rate is (R₁ + R₂ + R₁×R₂/100)%.

SI vs CI for 1st Year

For the first year (if compounded annually), the Simple Interest and Compound Interest are always equal.

Income of A other than salary = 66,000 – 52,000 = 14,000

Income of B other than salary = 59,000 – 48,500 = 10,500

Income of C other than salary = 52,000 – 42,000 = 10,000

Income of D other than salary = 40,000 – 31,000 = 9,000

Income of E other than salary = 31,700 – 25,000 = 6,700

Only two employees A and B got more than a total of Rs. 10,000 as income other than salary.

Follow the BODMAS rule to solve this question, as per the order given below,

$\frac{4}{3} \div \frac{1}{6} \times 2 - 1$

$\Rightarrow \frac{4}{3} \times 6 \times 2 - 1$

⇒ 16 – 1

⇒ 15

The correct answer is to.

Key Points

Oblivion: the state of being unaware or unconscious of what is happening around one

Relegated: assigned a rank or position to

The verb relegate takes the preposition 'to' 

Relegated to oblivion: pass into insignificance or oblivion- in the present context it simply means that due to Taj Mahal's presence, lesser works of architectural grandeur have faded into insignificance.

The correct answer is Option 4.

Pull a fast one means to successfully deceive someone.

It matches with 'to trick someone'.

Eg: I think he pulled a fast one on you.

Other options are incorrect in the context.

The correct answer is Option 3.

• Haste: excessive speed or urgency of movement or action; hurry.
• Delay: make (someone or something) late or slow; a period of time by which something is late or postponed
• Lose: be deprived of or cease to have or retain (something); become unable to find (something or someone)
• Rush: move with urgent haste; dash towards (someone or something) in an attempt to attack or capture.
• Dash: run or travel somewhere in a great hurry.

Thus, delay is the antonym of Haste.

The correct answer is Option 1.

The given sentence is in Direct speech and is an imperative sentence. It gives an instruction to not play in the sun.

It must be changed into Indirect speech and thus becomes an assertive sentence.

While changing from direct to indirect speech, the following changes take place in the sentence.

i) Quotation marks and commas are omitted.

ii) 'Said' changes to 'advised'

iii) The imperative form is changed to the bare infinitive form (to+V1)

Following the changes, the correct indirect speech sentence will be: Mahesh advised Rita not to play in the sun.

When we convert a sentence from direct to indirect speech, we make the following changes:

• Quotation marks are omitted and the sentence ends with a full stop.
• The tense of the verb, in the reported speech involving any order, request and instruction does not undergo any change during the conversion from direct to indirect mode. This is also true if the statement is a universal truth.
• If the reporting verb is in the present tense, it does not undergo any change.
• We add the word 'to' before the verb if the verb is in bare infinitive.
• When the reporting or principal verb is in the present tense, all present tenses of the direct are changed into the corresponding past tenses.
• Words expressing nearness in time or place are generally converted into words expressing distance.
  

For eg. now becomes then, today becomes that day, yesterday becomes the previous day, this becomes that etc.

• In reporting commands and requests, the verb expressing command or request is added and the imperative is changed into the infinitive.
• In reporting questions the verbs like asked, inquired are added
• In reporting exclamations and wishes, the verbs expressing exclamation or wish are added.
• When we convert a sentence from the direct to the indirect mode(especially for a sentence ending with a mark of interrogation), we reverse the subject-verb placement. In direct sentences, we have the verb before the subject; while in indirect, the verb follows the subject.

Other options do not follow the rule conversions, and hence are incorrect.

The correct answer is Option 2.

• Disheartened: having lost determination or confidence; dispirited
• Depressed: (of a person) in a state of unhappiness or despondency
• Disgraced: having fallen from favour or a position of power or honour; losing people's respect because of bad behaviour that has been made public.
• Disliked: feel distaste for or hostility towards
• Disgusted: feeling or expressing revulsion or strong disapproval

Depressed is synonymous with disheartened.

The correct answer is- 'agree with someone.'

Key Points

• Let's understand the meaning of the given idiom:
• 'See eye to eye' mean view something in the same way as others do, you agree with someone about something. ('See eye to eye' का अर्थ है किसी चीज को उसी तरह देखना जैसे दूसरे करते हैं, आप किसी चीज के बारे में किसी से सहमत होते हैं।)
• Example: My sisters don't see eye to eye with me about the picnic arrangements.
• From the meaning and example, we can say the correct answer is 'agree with someone.'

Thus option 4 is the most appropriate answer.

The correct answer is Option 3.

When we connect the sentences to form a paragraph, it is important to establish a connection between them.

The given sentences talk about the formation of tsunami.

• Sentence C introduces to the subject 'tsunami'. It tells that it is made up of a series of very long waves.
• Sentence A follows C. It states that tsunami is generated by a violent undersea disturbance or ocean activity.
• Sentence B follows A. It states that, once the waves are generated they travel outward on the ocean surface in all directions.
• Sentence D comes at the end. It ends the topic, stating that they look like ripples caused by throwing a rock in a pond.

Thus the correct order is CABD.

A tsunami is made up of a series of very long waves. These are generated by a violent undersea disturbance or ocean activity. Once generated, they travel outward on the ocean surface in all directions. Spreading thus, they look like ripples caused by throwing a rock in a pond.

The correct answer is "Option 2".

Key Points

• Such…that… is a correlative conjunction. It is used to give reason.
• For example: It was such a cold afternoon that we stopped playing.

The correct answer is Option 3.

'The' (here) is used when we refer to common nouns.

• A / an are indefinite articles used before vowels a, e, i, o, u.
• The pronoun 'their' is incorrect.

Other options are thus incorrect to use.

The correct answer is Option 2.

Delegate is wrongly spelled as delegait.

Delegate means a person sent or authorized to represent others, in particular an elected representative sent to a conference; representative

Other words are correctly spelled and its meanings are:

• Edible: fit to be eaten (often used to contrast with unpalatable or poisonous varieties).
• Rebel: a person who rises in opposition or armed resistance against an established government or leader; someone rising against established authority
• Monarch: a sovereign head of state, especially a king, queen, or emperor.

The correct answer is Option 4.

• Devoid: entirely lacking or free form.
• Derived: (past tense) obtain something from; as root or origin
• Deluded: (past tense) believing something that is not true
• Denied: (past tense) refuse to give (something requested or desired) to (someone).

The sentence talks about the entry of a poor man and no other word conveys the meaning as denied. Thus the correct blank fit is denied. 

The poor man was denied entry to the restaurant.

The correct answer is Option 3.

• Supplied (past tense): make (something needed or wanted) available to someone; provide.
• Appointed (past tense): (of a time or place) decided on beforehand; designated.
• Applied (past tense): (of a subject of study) put to practical use as opposed to being theoretical; fill out an application form for the company
• Approved (past tense): officially agreed or accepted as satisfactory.

Thus the correct blank fit is: Have you applied for a job in this company?

Other options are incorrect to use in the context.

The correct answer is Option 4.

At a cup is wrongly used. It must be replaced with 'over a cup'.

Over indicates that the discussion happened while they were drinking coffee.

Thus the correct sentence will be: We had a long discussion over a cup of coffee.

The correct answer is Option 2.

The sentence is in the past tense and hence built is the correct usage.

'Built' is the past tense of build.

Other options are the various verb forms. Its meaning is:

• Building: (continuous tense) the action or trade of constructing something.
• To build: (infinitive form) to construct
• Build: (base form) construct (something) by putting parts or materials together; make or become stronger or more intense

The correct answer is Option 2.

Key Points

Let's look at the following points- 

• Omission is wrongly spelt as Omision.
• Omission means the exclusion of someone or something.
  

Let's look at the other options and their meaning-

• Opportunity: a time or set of circumstances that makes it possible to do something
• Obsolete: no longer produced or used; out of date
• Obscure: not discovered or known about; uncertain

The correct answer is Option 1.

Key Points

• Accelerate: (especially of a vehicle) begin to move more quickly; increase in rate, amount, or extent
• Other words mean:
• Assimilate: take in an understand fully (information or ideas); regards as similar
• Activate: make (something) active or operative
• Exhilarate: make (someone) feel very happy, animated or elated
• Thus other words do not match with the phrase in the context.

The correct answer is Option 3.

The given sentence is an assertive sentence in Active Voice. Its structure is: Subject + modal auxiliary (could) + verb + object

When it changes in Passive Voice, its structure is: Object + modal auxiliary (could) + be + past tense of verb + by + Subject.

Note: While changing from active to passive, modal auxiliaries do not undergo any change.

While converting from active to Passive, the sentence undergoes the following changes:

• Identify the subject, the verb, and the object: S+V+O
• Change the object into subject
• The active verb does not have an object. Therefore, the passive form should begin with you.
• Change the verb into past participle of the verb
• Change the subject into object

Other options do not follow the rules of conversion, and hence are incorrect to use.

The correct passive voice sentence will be: His theory could be understood by a child.

The correct answer is Option 4.

• When we connect the sentences to form an idea, it is necessary to establish a relation between them.
• The given sentences talk about the lottery system and how people spend their hard-earned money.
• The part of the paragraph begins with D. It states that people buy lotteries with the hope to become rich overnight.
• A follows D. It connects with D that lotteries are organized by State Governments.
• C follows A. It states that people spend money with the intention to get crores of rupees and gold
• B follows C. The attraction of getting a prize, leads them to waste a lot of their precious money.
• Thus the correct order is DACB.

People buy lotteries hoping to become rich overnight. These lotteries are organized by State Governments sell dreams. Crores of rupees and gold are offered as prizes. Lured by this, millions o poor people waste their hard-earned money.

The correct answer is Option 3.

This is a conditional sentence in the present tense. Its structure is If + simple present, simple future.

'Will' should be removed from the phrase 'If they will get married'.

Thus the correct sentence will be: If they get married they will probably settle in Mumbai.

The other options are incorrect to use, as it does not follow the structure.

The correct answer is Option 2.

Key Points 

• Congenital: (of a person) having a particular trait from birth or firmly established habit ((किसी व्यक्ति का) जन्म से कोई विशेष गुण होना या दृढ़ता से स्थापित आदत)
• Other words mean:
• Chronic: (of an illness) persisting for a long time or constantly recurring; of a very poor quality ((किसी बीमारी का) लंबे समय तक बना रहना या लगातार आवर्ती होना; बहुत घटिया किस्म का)
• Habitual: done constantly or as a habit; regular, usual (लगातार या आदत के रूप में किया; नियमित, सामान्य)
• Anomaly: something that deviates from what is standard, normal or expected (कुछ ऐसा जो मानक, सामान्य या अपेक्षित से विचलित होता है)

Thus other options are incorrect in the context.

The correct answer is Option 1.

• Elegant: graceful and stylish in appearance or manner.
• Adequate: satisfactory or acceptable in quantity or quality.
• Active: engaging or ready to engage in physically energetic pursuits.
• Efficient: (of a person) working in a well-organized and competent way; (of a system or machine) achieving maximum productivity.

When referring to monuments, no other option fits better than elegant.

The correct antonym is 'Stable'.

Key Points  

• The word Fickle(adjective) means- likely to change your opinion or your feelings suddenly and without a good reason.​
• ​Example: The world of popular music is notoriously fickle.
• ​The antonyms of the word Fickle are- Stable, constant, steady, reliable, aware, etc.
• The word Stable(adjective) means- firmly fixed or not likely to move or change.
• ​​Example: She seems more stable these days.
• Therefore, as per the points mentioned above, we find that the correct answer is option 2).​
• Let us look at the meanings and examples of the given options:
• Flighty(adjective)- "not able to keep your attention or interest on one thing for long".
• ​​Example: She played the part of a flighty, unsuccessful writer.
• ​Subtle(adjective)- "not loud, bright, noticeable, or obvious in any way".
• ​​Example: The room was painted a subtle shade of pink.
• Crafty(adjective)- "clever, especially in a dishonest or secret way".
• ​​Example: *She was a crafty old woman.*​

Additional Information

• The synonyms of the word Fickle are- Capricious, volatile, unsteady, flighty, etc.
• Example of Fickle in a sentence-
• Fickle winds made sailing conditions difficult.

The correct answer is Option 3.

Stopped to laugh is used incorrectly. It must be replaced with stopped laughing.

The sentence is a cause and effect sentence. It shows that an activity was happening, and it stopped immediately as the teacher entered.

Thus the correct sentence will be: They stopped laughing as soon as the teacher entered the classroom.

The correct answer is Option 1.

• Cordial: warm and friendly; strongly felt
• Warm: having or showing enthusiasm, affection or kindness
• Hard: solid, firm, and rigid; not easily broken; done with a great deal of force or strength
• Rude: offensively impolite or bad-mannered; having a startling abruptness
• Cold: lacking affection or warmth of feeling; unemotional

Warm is synonymous with cordial.

The correct answer is Option 3.

The phrase 'the both' is used incorrectly.

The article 'the' must be removed from the beginning of the sentence. 'Both' takes an article after it.

It must be placed before 'children'.

Thus the correct sentence will be: Both the children go to the same school.