SSC CGL Previous Paper (Held On: 10 June 2019 Shift 1) (Previous Year Paper)

Pattern followed is:

8 × 3 = 24; 8 × 7 = 56

Similarly,

3 × 3 = 9; 7 × 3 = 21

Hence, 9 : 21 is the correct answer.

H + E + A + D = 8 + 5 + 1 + 4 = 18, 18 × 2 + 1 = 37

B + A + N + K = 2 + 1 + 14 + 11 = 28, 28 × 2 + 1 = 57

Similarly

K + I + T + E = 11 + 9 + 20 + 5 = 45, 45 × 2 + 1 = 91

Hence, “91” is the correct answer.

Pattern followed is:

16 × 1.5 = 24

24 × 1.5 = 36

36 × 1.5 = 54

54 × 1.5 = 81

Hence, “54” is the correct answer.

Pattern followed is:

2^nd term + 3^rd term = 1^st term

312 → 1 + 2 = 3

523 → 2 + 3 = 5

734 → 3 + 4 = 7

953 → 5 + 3 = 8 ≠ 9

Hence, “953” is the correct answer.

Alternate MethodLogic: 1st term - 2nd term = 3rd term

Option 1) 953 → 9 - 5 = 4 ≠ 3

Option 2) 312 → 3 - 1 = 2 

Option 3) 523 → 5 - 2 = 3

Option 4) 734 → 7 - 3 = 4

Hence, “953” is the correct answer.

Females can be Indians as well as voters.

And some voters also can be Indians.

Hence, option 3 is the correct answer.

Repeating series is “c a d b a b “

Complete series will be:

c a d b a b c a d b a b c a d b a b

Hence, the correct answer is “d c b c b”

The pattern followed here is:

(5, 24, 7) → 72 - 52 = 49 - 25 = 24

(9, 63, 14) → 14² - 9² ≠ 63

(6, 75, 11) → 112 - 62 ≠ 75

(10, 71, 13) → 132 - 102 ≠ 71

(8, 80, 12) → 122 - 82 = 144 - 64 = 80

Hence, (8, 80, 12) is the correct answer.

MLKP → M - 1 = L, L - 1 = K.

XVWZ → X - 2 = V, V + 1 = W.

TSRN → T - 1 = S, S - 1 = R.

DCBZ → D - 1 = C, C - 1 = B.

Hence, XVWZ is the odd one out.

The logic followed here is:

Logic: (1st number + 3rd number) ÷ 2 = 2nd number.

Now,

For, (17, 12, 7)

→ (17 + 7) ÷ 2

→ 24 ÷ 2 = 12.

Similarly, for (15, 19, 23)

→ (15 + 23) ÷ 2

→ 38 ÷ 2 = 19.

Hence, the correct answer is "Option 2".

Tree diagram:

Hence, E is the nephew of D.

Hence, option 2 is the correct answer.

The logical sequence is:

Infant - Child - Education - Employment - Marriage

Hence, (3, 1, 5, 4, 2) is the correct order.

Pattern followed is:

Whole figure is Rotated by 45° in anticlockwise direction after each step.

Symbols inside figure are interchanging positions after each step.

Hence,

 is the answer.

I. Some carpenters are mechanics → True

II. Some mechanics are technicians → True

III. All carpenters are mechanics → False (It is a case of possibility but not definitely true)

Hence, Only conclusions I and II follow.

Interchanging + and -

24 + 12 ÷ 4 - 8 × 2 = 24 + 3 - 16

27 - 16 = 11

Interchanging + and ×

$24-12\div 4\times 8+2=24-~\frac{12\times 8}{4}+2$

24 - 24 + 2 ≠ 11

Interchanging - and ÷

24 ÷ 12 - 4 + 8 × 2 = 2 - 4 + 16

-2 + 16 ≠ 11

Interchanging + and ÷

$24-12+4~\div 8\times 2=12+~\frac{4\times 2}{8}$

12 + 1 ≠ 11

Hence, by interchanging + and - we get the correct equation.

Total of 9 numbers = 9 × 40 = 360

Total of first 5 numbers = 5 × 38 = 190

Total of last 5 numbers = 5 × 50 = 250

Total of 10 numbers = 250 + 190 = 440

Now 5^th term = 440 - 360 = 80.

Hence, 80 is the correct answer.

Hence, option 1 is the correct answer.

Hence, the correct answer is 22.

Hence, the correct answer is option 1.

Pattern followed is:

Similarly

Hence, the correct answer is “ESYTEVN”.

(D, W) (G, T) (I, R) (L, O) are reverse alphabetical pairs.

Similarly,

(F, U) (H, S) (K, P) (M, N) are reverse alphabetical pairs.

Hence, “USPN” is the correct answer.

In 1^st cube we see that 1 and 3 are adjacent to 4.

In 2^nd cube we see that 2 and 6 are adjacent to 4.

Only remaining number 5 will be on opposite side of 4.

Hence, when 5 is at bottom 4 will be on top.

Study of the Earth is called Geology.

And Earth is a rock.

Similarly,

Cytology is the study of Cells.

Hence, “cells” is the correct answer.

Hinder, Arrest, and Impede all have similar meanings, all referring to obstructing or slowing down a process or action.

"Steal", on the other hand, refers to taking something that belongs to someone else without permission, which is different from the concept of obstruction or delay.

Hence, Steal is odd among them.

Commodity Exchange is related with exchange of commodity.

Similarly,

Correspondence is exchange of letter.

Hence, “Correspondence : letter” is the correct answer.

• In a periodic table, lanthanoide or lanthanide are the series of chemical elements from atomic number 57 to 71 or from lanthanum to lutium.
• The lanthanoide elements have similar chemical properties and collectively they are called rare earth elements.
• The elements of this group are called lanthanides because their chemical properties are similar to lanthanum.
• Cerium, on second position of the lanthanoid series with atomic number 58 having masses 140.12.

• Special Olympics, worldwide program to furnish people with intellectual inabilities who are eight years old or more seasoned with all year sports preparing and athletic challenge in excess of 20 Olympic-type summer and winter sports.
• Special Olympics was inaugurated in 1968 and it was officially recognized on February 15, 1988.
• It's International headquarters are in Washington, D.C.
• It held every two years alternating between winter and summer sports and each lasting for nine days.

• The Central Board of Secondary Education (CBE) has declared that they will introduce Artificial Intelligence (AI), Early Childhood Care Education (ECCE), and Yoga as skill subject in all CBSE-affiliated schools curriculum for the academic session 2019-20.
• AI will be introduced as an optional sixth subject for Class IX whereas ECCE and Yoga are being introduced as elective subjects at senior secondary level.
• The significance of Artificial Intelligence (AI) has gain much importance in the last few years and a number of countries are striving to stay ahead with their policy initiatives to get their country ready.

• Gauri Lankesh was a journalist-turned-social activist from Bangalore, Karnataka.
• She was posthumously honored with Anna Politkovskaya Award 2017 for speaking against right-wing Hindu extremism, campaigning for women's rights and opposing caste based discrimination.
• She was shot dead by assailants outside her home in Rajarajeshwari Nagar on 5 September 2017.
• The Anna Politkovskaya Award was established in 2006 to remember and honor the Russian campaigning journalist Anna Politkovskaya, murdered in Moscow on October 7, 2006 in order to silence her reporting about the war in Chechnya.

The correct answer is the Sunda.

Key Points

• The Sunda Strait is located between the Indonesian islands Java and Sumatra.
• Sunda Strait is dotted by a number of islands and it connects the Java Sea to the Indian Ocean.
• Many of islands in Sunda Strait have a volcanic in origin.
• The name of this strait came after the Sunda Kingdom that ruled the west part of the Java.

• The fifth edition of three-day Global Business Summit 2019 was held in New Delhi from 22nd February 2019.
• The Global Business Summit was launched on 15 January 2015 and it is a flagship initiative of the Times Group.
• The aim of the Global Business Summit is to provide solutions to key microeconomic issues being faced in the current context and put forth a blueprint for sustainable development.

• Safdarjung's Tomb is a late Mughal Empire style tomb built for Nawab Safdarjung in the year 1754.
• It is made of sandstone and marble has domed structured of arched red-brown and white colour located near the Safdarjung airport in Delhi.
• Safdarjung was the Nawab of Oudh, and also he was a prime minister of the Mughal Empire (Wazir ul-Mamlak-i-Hindustan) when Ahmed Shah Bahadur ascended the throne in 1748.

• Shah Jahan, the actual name Khurram, was the third son of Jahangir and he succeeded the throne in 1628.
• He further expanded his Empire to Kandhar in the north and conquered most of Southern India.
• The Mughal Empire was at its zenith during Shah Jahan's rule.
• During his reign, the world witnessed the unique development of arts and culture of the Mughal Empire.
• Shah Jahan also has been called the "architect king".
• The Red Fort and the Jama Masjid, both in Delhi, stand out as towering achievements of both civil engineering and art.
• Shah Jahan is remembered today for the Taj Mahal, the massive white marble mausoleum constructed for his wife Mumtaz Mahal along the banks of the Yamuna River in Agra.

• Aurangzeb, the son of Shah Jahan, ascended the throne in 1658 and ruled till the year 1707.
• He almost equal the tally of 50 years ruled by Akbar.
• He is known for his ambition of bringing the entire Sub-continent under one rule.
• During his rule, Mughal empire was in peak in terms of the area under the Mughal empire.
• Aurangzeb died in the year 1707 at the age of 90 years.

• A budget deficit is a situation where the expenditure of the government exceeds the revenue generated by the government.
• A budget deficit reflects the financial health of a country.
• In the case of the budget deficit, the current expenses by the government exceed the amount of income received through standard operations.
• The measures available to a country to correct its budget deficit are:
• The government can cut its certain expenditures,
• The government can increase the volume of activities that can generate more revenue,
• The government can apply both of the measures simultaneously.

• In the periodic table, Actinoid element or the actinide element, any of a series of 15 consecutive chemical elements from actinium to lawrencium (atomic numbers 89–103).
• As a group, Actinoid elements are significant largely because of their property of being radioactive.
• Curium (Cm), a synthetic chemical element having atomic number 96 comes under the Actinoid series of the periodic table.
• Actinoid elements are actinium, thorium, protactinium, uranium, neptunium, plutonium, americium, curium, berkelium, californium, einsteinium, fermium, mendelevium, nobelium and lawrencium .

• Hina Jaiswal, flight lieutenant, has created history by becoming the first Indian woman flight engineer.
• She achieved the feat after completing the prestigious Flight Engineers’ course 112 Helicopter Unit, Air Force Station, Yelahanka.
• Commissioned on January 15, 2019, in the engineering branch of the IAF, she has served as Chief of firing team and battery commander in a frontline Surface to Air Missile squadron, before being selected for the prestigious Flight Engineers’ Course.

• Dhamekh Stupa, built by the Mauryan king Ashoka, is located at Sarnath which is 13 km away from Varanasi.
• The Dhamekh Stupa is said to mark the place where Buddha gave his first sermon his five disciples after attaining enlightenment.
• The shape of the Dhamekh Stupa is a solid cylindrical structure made of bricks and stone up to a height of 43.6 meters with a diameter of 28 meters.

• Akbar, son of Humayun, was born in exile and was throned at the age of 13 years after the death of his father.
• Akbar is known for his actions during his rule and he was the Mughal ruler who actually fortified the foundations of the Mughal Empire.
• He set up a host of institutions that proved to be the foundation of an administrative system that operated even in British India.
• After ruling nearly about 50 years, he died in 1605 and was buried outside of Agra at Sikandra Fort.

• In the periodic table, Mendeleev could not assign a correct position to Hydrogen.
• This is considered as the first limitation of the Mendeleeve's periodic table because: 
• Hydrogen has 1 valency electron in the outermost shell)
• Hydrogen belongs to halogen family in which every element has 7 electron in the outermost shell.
• Hydrogen does not have the properties of the halogen family.
• Hydrogen also behaves as alkali metals.
• Due to so much confusion, no fixed position can be given to hydrogen.

• Superstats is a combination of stats metrics – Luck Index, Forecaster and Smart Stats.
• It uses data science for the first time to give a context to every event in a game and also venture into new territories such as luck and forecasting.
• The metrics have been derived from ESPNcricinfo’s rich ball-by-ball database and from complex algorithms developed by IIT Madras and Gyan Data, an IIT-M incubated company.

• Mehr-un-Nissa was the twentieth and the last wife of the Mughal emperor Jahangir.
• Jahangir gave her the title of 'Nur Mahal' ("Light of the Palace") in 1611 and 'Nur Jahan' ("Light of the World") five years later in 1616.
• Nur Jahan was considered the most powerful woman of the Mughal period.
• She was the real force behind the Mughal throne at that time.

• The British chemist John Newland propounded the law of octave in the year 1864 in which he attempted 56 elements known at that time.
• He arranged the available elements in ascending order in terms of their atomic masses that every 8th element had similar physical and chemical properties.
• He illustrated his experiment by comparing the similarity between the elements to the octave of music where every eights note is comparable to the first.
• His experiment was first based on the atomic number of each element.

Additional Information 

According to NCERT

• At the time of Newland Octaves
• It was assumed by Newlands that only 56 elements existed in nature and no more elements would be discovered in the future. But, lateron, several new elements were discovered, whose properties did not fit into the Law of Octaves.

• The 'Law of Octaves' was propounded by the English chemist J.A.R. Newlands in 1865.
• The 'Law of Octaves'states that if the chemical elements are arranged according to increasing atomic weight, those with similar physical and chemical properties occur after each interval of seven elements.
• J.A.R. Newlands was the first to disclose a periodic pattern in the properties of the elements and anticipated later developments of the periodic law.

• Gina Nadira Miller, Brexit Campaigner, named UK's most influential black person of the year 2017.
• She won the Brexit legal battle against the government and challenged its authority to trigger Article 50 without parliamentary approval.
• The list of the 100 most influential people of African or African-Caribbean heritage in Britain came into afore after Powerful Media published it in October 2017.

• The power to summon and prorogue either House of Parliament or to dissolve the Lok Sabha vests with the President.
• The Indian Constitution provides that the Parliament shall consist of the President and the two houses i.e. Council of States (Rajya Sabha) and the House of People (Lok Sabha).
• Article 85 of the Constitution empowers President to summon each House of the Parliament as he/she thinks fit.
• The President can summon the houses at intervals not be more than six month's gap between the two sessions.
• It is mandatory to Parliament meet at least twice a year as per the Constitution of India.

• In India, the supreme legislative organ of the union of India is Parliament.
• As per the Indian Constitution, India is a Parliamentary Democracy.
• Parliament of India is made from Lok Sabha, Rajya Sabha and President.
• Articles 79-122 of the Indian Constitution deal with the composition, powers and procedures of the Parliament of India.

• The Global Teacher Prize is a US $1 million award presented annually to an exceptional teacher who has made an outstanding contribution to their profession.
• The Global Teacher Prize serves to underline the importance of educators and the fact that their efforts deserve to be recognised and celebrated throughout the world.
• It seeks to acknowledge the impacts of the very best teachers – not only on their students but on the communities around them.
• Swaroop Rawal born on November 03, 1958 and earned fame as an actor.
• She won the Miss India contest in 1979.
• Currently, she is teaching at Lavad Primary School in Gujarat.

• A nautical mile is a unit of measurement used for measuring both marine navigation and air.
• It is also used for defining territorial waters and which can be defined as one minute (1/60 of a degree) of latitude along any line of longitude.
• As per the international standard, a nautical mile is equal to 1852 meters.
• There are internationally accepted various abbreviations used for the nautical mile by different organizations and agencies are M, NM, nm, nmi and nq.

As we know

The angle subtended by an arc at the centre of a circle is double the size of the angle subtended by the same arc at the circle circumference

⇒ ∠BOC = 2 ∠BAC

⇒ ∠BAC = 50°/2 = 25

Similarly,

⇒ ∠AOD = 2∠ABD

⇒ ∠ABD = 110°/2 = 55°

In ΔABE

⇒ ∠BAE + ∠ABE + ∠BEA = 180°

⇒ ∠BEA = 180° – 25° – 55° = 100°

⇒ ∠BEC = 180° – ∠BEA = 180° – 100° = 80°

Mean proportional of 4.8 and 10.8

⇒ 4.8 ∶ x ∶∶ x ∶ 10.8

⇒ 4.8/x = x/10.8

⇒ x² = 4.8 × 10.8

⇒ x = √(4.8 × 10.8) = 7.2

Third proportional of 0.4 and 2.4

⇒ 0.4 ∶ 2.4 ∶∶ 2.4 ∶ x

⇒ 0.4/2.4 = 2.4/x

⇒ x = (2.4 × 2.4)/0.4

⇒ x = 14.4

Required ratio = 7.2 ∶ 14.4 = 1 ∶ 2

Let the speed of B is x km/h.So, the speed of A will be (x + 25)km/h.

According to the question

⇒ 250/x – 300/(x + 25) = 4

Short trick∶

Go through options, check option A

Speed of A = 50 km/h and speed of B = 25 km/hr

⇒ 250/25 – 300/50 = 4

⇒ 10 – 6 = 4

⇒ 4 = 4 (Satisfies the given condition)

Detailed solution∶

250/x – 300/x + 25 = 4

⇒ [250(x + 25) – 300x]/x(x + 25) = 4

⇒ (250x + 6250 – 300x)/ (x² + 25x) = 4

⇒ 4x² + 100x = – 50x + 6250

⇒ 4x² + 150x – 6250 = 0

⇒ x = 25 or x = –125/2

Average of type A cars during five years = (46 + 53 + 56 + 58 + 67)/2 = 280/5 = 56

Total production of type C cars in during five years = 43 + 54 + 55 + 47 + 51 = 250

Required percentage = [56/250] × 100 = 22.4%

Given:

11 digit number 5y5884805x6 is divisible by 72

Concept Used:

If the number is divisible by 72, so we can say the number also divisible by both 8 and 9

Divisibility law of 8 ⇒ A number divisible by 8 if its last three digits are divisible by 8

Divisibility law of 9 ⇒ A number is divisible by 9 if the sum of its digits are divisible by 9

Calculation:

⇒ 5y5884805x6 is divisible by 8 if x = 7

⇒ 5y588480576 is divisible by 9 if y = 7

⇒ √(xy) = √(7 × 7) = 7

⇒ 4x² – 6x + 1 = 0

Divide by 2x

⇒ 2x – 3 + (1/2x) = 0

⇒ 2x + 1/2x = 3

As we know,

⇒ x³ + y³ = (x + y)³ – 3xy(x + y)

⇒ (2x)³ + (1/2x)³ = (2x + 1/2x)³ – 3 (2x + 1/2x)

⇒ 8x³ + (8x)^-3 = 3³ – 3 × 3 = 27 – 9 = 18

Given, AE = 6 cm, BC = 2 cm, BE = 3 cm and CD = 5 cm

∠ABE = ∠ADC, ∠EAB = ∠CAD (common) and ∠AEB = ∠ACD

Now, we can say, ΔABE similar to ΔADC

⇒ AE/AC = EB/DC

⇒ 6/AC = 3/5

⇒ AC = 10 cm

⇒ AC = AB + BC

⇒ 10 = AB + 2

⇒ AB = 10 – 2 = 8 cm

⇒ AB/AD = EB/DC

⇒ AD = 5/3 × 8

⇒ AD = 40/3

⇒ AD = AE + DE

⇒ 40/3 = 6 + DE

⇒ DE = 40/3 – 6 = 22/3

⇒ AB + DE

⇒ 8 + 22/3

⇒ 46/3 cm

Average of twelve numbers = 55.5

⇒ Sum of twelve numbers = 55.5 × 12 = 666

Average of the first four numbers = 53.4

⇒ Sum of the first four numbers = 53.4 × 4 = 213.6

Average of next four numbers = 54.6

Sum of next four numbers = 54.6 × 4 = 218.4

Sum of 9^th, 10^th, 11^th and 12^th number = 666 – 213.6 – 218.4 = 234

Let 10^th number be x.

⇒ 9^th number = x – 3

⇒ 11^th number = x + 2

⇒ 12^th number = x + 3

According to the Question

⇒ x + (x – 3) + (x + 2) + (x + 3) = 234

⇒ x = 58

10^th number = 58

12^th number = 58 + 3 = 61

∴ Average of 10^th and 12^th number = (61 + 58)/2 = 119/2 = 59.5

As we know, A = P (1 + r/100)^t

⇒ A = 20,736, P = 12,000, t = 3

⇒ 20736 = 12000 (1 + r/100)³

⇒ (1 + r/100)³ = 20736/12000

$\Rightarrow ;\left( {1{\rm{}} + {\rm{}}\frac{{\rm{r}}}{{100}}} \right){\rm{}} = {\rm{}}\sqrt[3]{{\left( {\frac{{1728}}{{1000}}} \right)}}$

⇒ 1 + r/100 = 12/10

⇒ r = 20%

⇒ A = 12000(1 + 20/100)²

⇒ A = 12000 × 6/5 × 6/5

⇒ A = 17280

Short trick

For three years

⇒ ∛12000 ∶ ∛20736

⇒ 10 ∶ 12

For two years

⇒ (10)² ∶ 12²

⇒ 100 ∶ 144

⇒ 100 unit = 12000

⇒ 144 unit = 17280

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

Step-1∶ Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

Step-2∶ Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3∶ Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4∶ Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

$\frac{3}{4} \times 2\frac{2}{3} \div \frac{5}{9};of;1\frac{1}{5} + \frac{2}{{23}} \times 3\frac{5}{6} \div \frac{2}{7};of;2\frac{1}{3}$

$\Rightarrow \frac{3}{4} \times \frac{8}{3} \div \frac{5}{9} \times \frac{6}{5} + \frac{2}{{23}} \times \frac{{23}}{6} \div \frac{2}{7} \times \frac{7}{3}$

$\Rightarrow \frac{3}{4} \times \frac{8}{3} \div \frac{2}{3} + \frac{2}{{23}} \times \frac{{23}}{6} \div \frac{2}{3}$

$\Rightarrow \frac{3}{4} \times \frac{8}{3} \times \frac{3}{2} + \frac{2}{{23}} \times \frac{{23}}{6} \times \frac{3}{2}$

⇒ 3 + 1/2 = 3.5

Formula used:

If (A +B)/(A -B) = (k + 1)/k - 1)

then, A/B = K/1

Calculation

$\frac{{{\rm{tan\theta ;}} + {\rm{;sin\theta }}}}{{{\rm{tan\theta ;}} - {\rm{;sin\theta }}}} = \frac{{{\rm{k}} + 1}}{{{\rm{k}} - 1}}$

Using Dividendo and Componendo

$\Rightarrow \frac{{{\rm{tan\theta }}}}{{{\rm{sin\theta }}}} = \frac{{\rm{k}}}{1}$

$\Rightarrow \frac{{{\rm{sin\theta }}}}{{{\rm{cos\theta }}}} \times \frac{1}{{{\rm{sin\theta }}}} = {\rm{k}}$

⇒ k = sec θ

Given, AB = 7

Let BC be x cm

⇒ AC – BC = 1

⇒ AC = 1 + BC

⇒ AC = 1 + x

In ΔABC

⇒ (AC)² = (AB)² + (BC)²[Pythagoras theorem]

⇒ (x + 1)² = 7² + x²

⇒ x² + 1 + 2x = 49 + x²

⇒ x = 24 cm

⇒ BC = 24

⇒ AC = 24 + 1 = 25

⇒ secC = (Hypotenuse/side adjacent to angle C) = AC/BC = 25/24

⇒ cotA = (Side adjacent to angle A/Side opposite to angle A) = AB/BC = 7/24

⇒ secC + cotA

⇒ 25/24 + 7/24

⇒ 4/3

⇒ 3sinθ = 2cos²θ

⇒ 3sinθ = 2(1 – sin²θ)

⇒ 3sinθ = 2 – 2sin²θ

⇒ 2sin²θ + 3sinθ – 2 = 0

⇒ 2sin²θ + 4sin θ – sin θ – 2 = 0

⇒ 2sin θ(sin θ + 2) – 1(sin θ + 2) = 0

⇒ (2sin θ – 1) (sin θ + 2) = 0

⇒ sin θ + 2 = 0

⇒ sin θ = -2 (not possible)

⇒ 2sin θ – 1 = 0

⇒ sin θ = 1/2

⇒ θ = 30°

⇒ tan²θ + sec²θ – cosec²θ

⇒ tan²30° + sec²30° - cosec²30°

⇒ (1/√3)² + (2/√3)² – 2²

⇒ 1/3 + 4/3 – 4

⇒ (1 + 4 – 12)/3

⇒ -7/3

Total production of type B cars in 2015 and type D cars in 2016 = 66 + 74 = 140

Total production of type E cars in five years = 48 + 58 + 63 + 64 + 67 = 300

Required percentage = [(300 – 140)/300] × 100 = $53\frac{1}{3}$

Average of type C cars and D cars in 2012 = 43 + 47 = 90

Production of type A cars in 2014 and type E cars in 2015 = 56 + 64 = 120

Required ratio = 90 ∶ 120 = 3 ∶ 4

Suppose QT and PS intersecting at point O.

Given, ∠PSQ = P°, and ∠TQR = 46°

∠SPR = 32° and ∠QTP = 90°

In ΔPOT,

⇒ ∠P + ∠O + ∠T = 180

⇒ ∠O = 180° – 32° – 90° = 58°

⇒ ∠POT = ∠QOS = 58° (Vertically opposite angle)

In ΔQOS

⇒ ∠O + ∠Q + ∠S = 180°

⇒ P° = 180° – 46° – 58° = 76°

⇒ a² + b² + c² + 27 = 6(a + b + c)

⇒ a² + b² + c² + 27 – 6a – 6b – 6c = 0

⇒ (a² – 2 × a × 3 + 3²) + (b² – 2 × b × 3 + 3²) + (c² – 2 × c × 3 + 3²) = 0

⇒ (a – 3)² + (b – 3)² + (c – 3)² = 0

⇒ (a – 3)² = 0

⇒ a = 3

⇒ (b – 3)² = 0

⇒ b = 3

⇒ (c – 3)² = 0

⇒ c = 3

$\sqrt[3]{{{{\rm{a}}^3} + {{\rm{b}}^3} - {{\rm{c}}^3}}}$

$\Rightarrow \sqrt[{3{\rm{;}}}]{{{3^3} + {3^3} - {3^3}}}$

$\Rightarrow \sqrt[3]{{{3^3}}}$

⇒ 3

Let the income of B be 100x.

∴ Income of A = 100x × [140/100] = 140x

New income of A = 140x × [125/100] = 175x

New income of B = 100x × [140/100] = 140x

Total income (A + B) after increment = 175x + 140x = 315x

Total income of A and B before increment = 100x + 140x = 240x

⇒ Required percentage = [(315x – 240x)/240x] × 100 = 31.25%

Given,

Curved surface area of cylinder 2πrh = 264 cm²

Volume of cylinder πr²h = 924 cm³

⇒ πr²h = 924 cm³

⇒ 2πrh × r = 924 × 2

⇒ 264 × r = 924 × 2

⇒ r = (924 × 2)/264

⇒ r = 7 cm

Curved surface area of cylinder = 2πrh = 264 cm²

⇒ 2 × (22/7) × 7 × h = 264

⇒ h = 6

Ratio of radius to height of cylinder = 7 ∶ 6

 Alternative Method to find the Radius

Volume of cylinder/CSA of Cylinder = 924/264 = 3.5

⇒ πr2h / 2πrh = 3.5 

⇒ r = 7cm

Total production of type B cars = 50 + 65 + 67 + 66 + 72 = 320 thousand

Production of type B cars in 2016 = 72 thousand

320 thousand represent = 360°

72 will represent = [360°/320] × 72 = 81°

Ratio of efficiency of A, B and C = 7 ∶ 3 ∶ 5

Total work = (7 + 3 + 5) × 21 = 15 × 21 = 315 days

Work done by A and C in 15 days = (7 + 5) × 15 = 12 × 15 = 180

Remaining work = 315 – 180 = 135

Remaining work B will complete in 135/3 = 45 days

As we know,

AB = AC (tangents)

Similarly, PB = PR and RQ = QC

Perimter of triangle = AP + PQ + AQ

AP + PR + RQ + AQ = 30 [∵ PQ = PR + RQ]

AP + PB + QC + AQ = 30 [∵ PR = PB and RQ = QC]

AB + AC = 30 [∵ AB = AP + PB and AC = AQ + QC]

2AB = 30 [∵ AB = AC]

AB = 15 cm

MP of the article = 550

SP of the article after 20% discount = 550 × [80/100] = 440

CP of the article = 440 × [100/110] = 400

If he sells the article for 470, then

Required profit percent = [(470 – 400)/400] × 100 = 17.5%

x + y + z = 0

This is only one equation and three variables are asked so we can put z = 0

⇒ x + y = 0

⇒ x = - y

⇒ (x² + y² + z²) ÷ (Z² – xy)

⇒ [(-y)² + y²] ÷ [ – (-y)y]

⇒ [y² + y²] ÷ y²

⇒ 2y² ÷ y²

⇒ 2

Let the article was bought at Rs. 100x

Article sold at 30% loss, then SP of the article = 100x × [70/100] = 70x

With 70x, he bought another article and sold is at a 60% profit, then

SP of another article = 70x × [160/100]

∴ Required profit percentage = [(112x – 100x)/100x] × 100 = 12%

The correct answer is option 3.

Sacred means connected with God or dedicated to a religious purpose and so deserving veneration.

For eg; Only the priest was allowed to visit the sacred place.

Profound means very great or intense.

Perpetual means never ending or changing.

Profane means not relating to that which is sacred or religious; secular.

For eg; The talk tackled topics that were both sacred and profane.

It is clear that sacred and profane are antonyms.

Pious means are devoutly religious.

So, options 1,2 and 4 are incorrect.

The correct answer is option 3.

Notorious means famous or well known, typically for some bad quality or deed.

For eg; This place is notorious for its smog.

Infamous means well known for some bad quality or deed.

Vicious means deliberately cruel or violent.

Reputable means known by many people, usually for something good; having a good reputation; honorable; respectable

It is clear that notorious and reputable are antonyms.

Disgraceful is not suitable in the present context. 

So, options 1,2 and 4 are incorrect.

The correct answer is option 1.

Contemporaries means a person or thing living or existing at the same time as another.

It is clear that contemporaries is the exact word as the sentence means that Charles Dickens had a different style of writing than most of the people of his time.

Critics means a person who judges the merits of literary or artistic works, especially one who does so professionally.

Confidants means a person with whom one shares a secret or private matter, trusting them not to repeat it to others.

Cronies means a close friend or companion.

So, options 2,3 and 4 are incorrect.

The correct answer is philistine

Key Points

• Philistine means a person who is hostile or indifferent to culture and the arts.
• It is clear that philistine is the most appropriate word.
• Philanderer means a man who readily or frequently enters into casual sexual relationships with women; a womanizer.
• Scientist means a person who is studying or has expert knowledge of one or more of the natural or physical sciences.
• Cynic means a person who believes that people are motivated purely by self-interest rather than acting for honourable or unselfish reasons.
• So, options 2,3 and 4 are incorrect.

The correct answer is traders visited Puducherry from the sixteenth century onwards

Key Points

• In the given sentence, it is clear that the speaker is talking first about an event of the past that is being continued till date because the word onwards is used. So, the past form of the verb visit i.e. visited will be used.
• Also, from will be used in place of in because from is used to indicate initiation of an action which is the traders visiting Puducherry starting from the sixteenth century.
• You can use 'from' when you are talking about the beginning of a period of time.
  

Examples:

• She studied painting from 1926 and also worked as a commercial artist.
• Breakfast is available to fishermen from 6 a.m.
• From 1922 till 1925 she lived in Prague.
• You can use 'in' to refer to something happens in a particular year, month, or other period of time, it happens during that time.
  

Example:

• Export orders improved in the last month.
• Also, from will be used in place of in because from is used to indicate initiation of an action which is the traders visiting Puducherry starting from the sixteenth century.

The correct sentence would be ''Though many European traders visited Puducherry from the sixteenth century onwards, what remains today is a relic of its French past.''

The correct answer is hurt intensely

Key Points

• Cut to the quick means to distress someone or injure someone emotionally by the use of words or action.
• The given statement means that the loyal watchman was hurt emotionally when he was accused of theft.
• So, options 1,2, and 3 are incorrect.

The correct answer is ancient

Key Points

• Perhaps India should listen to her (1) ancient sages
• Initial means existing or occurring at the beginning.
• Antique means having a high value because of age and quality.
• Extinct means no longer in existence.
• Ancient means belonging to the very distant past and no longer in existence.
• It is clear that ancient will be used because the statement talks about sages that lived in the past.
• So, options 1,2 and 3 are incorrect.

The correct answer is martyr

Key Points

• Martyr means one who embraces voluntary death for the sake of one's country.
• Fanatic means a person filled with excessive and single-minded zeal, especially for an extreme religious or political cause.
• Patriot means a person who vigorously supports their country and is prepared to defend it against enemies or detractors.
• Diplomat means an official representing a country abroad.
• So, options 2,3, and 4 are incorrect.

The correct answer is option 1.

The first statement is B i.e. At first, all seemed still outside the house, except for the sound of the rain.  This is because the sentence begins with at first and out of all other statements, it clearly describes the starting of the situation described.

After B, it should be D  But then, footsteps approached the house and a stranger emerged out of the darkness as it is in continuation with the first statement and describes the next event that takes place.

After D, it should be A, as the speaker gives a brief account of the stranger and then finally recognizes him in statement C.

The order is BDAC.

So, options 2,3 and 4 are incorrect.

The correct answer is of

Key Points

• who taught the importance (2) of balance.
• By is used to show how something is done.
• For eg; I went by train.
• Of is used to show belonging, relation or connection.
• For eg; Read the first page of this book.
• It is clear that 'of' will be used as the statement means that the sages taught the importance 'of' balance. 'Sages' are connected with 'balance'.
• For is used to show purpose.
• For eg; I made this for you.
• In is used to something enclosed within an area.
• For eg; She lives in London.
• So, options 1,3, and 4 are incorrect.

The correct answer is versatile

Key Points

• Meaning of the words given in the options are:
• Virtuous means having or showing high moral standards.
• Verbose means using or expressed in more words than are needed.
• Voracious means wanting or devouring great quantities of food.
• Versatile means able to adapt or be adapted to many different functions or activities.
• It is clear that versatile is the appropriate word as the subject is able to perform different roles.
• **So, options 2,3, and 4 are **incorrect.
• Thus, the complete sentence is: She performs different roles very convincingly as she is a very versatile actor.

The correct answer is or

Key Points

• (4) or be too radical
• You use or to link two or more alternatives.
• Example: Spread the inside of the loaf with olive paste or pesto sauce for extra flavour.
• ​You use but to introduce something which contrasts with what you have just said, or to introduce something which adds to what you have just said.
• You use so to refer back to something that has just been mentioned.
• You use otherwise after stating a situation or fact, in order to say what the result or consequence would be if this situation or fact was not the case.
• Here we are linking two alternatives, so options 1,2 and 4 are incorrect.

The correct answer is option 4.

Living from hand to mouth means to just have enough money to live on and nothing extra.

The sentence means that most people just have enough money to live on for a particular day i.e they consume daily whatever little they earn.

So, options 1,2 and 3 are incorrect.

The correct answer is option 2.

Most disputes can be solved amicably unless one are  rigid.

The singular noun one does not agree with the plural verb are. Instead of are, it should be is. A singular noun requires a singular verb whereas a plural noun requires a plural verb for subject-verb agreement in a sentence.

The correct sentence is --Most disputes can be solved amicably unless one is rigid.

So, options 1,3 and 4 are incorrect.

The correct answer is option 3.

The India consensus study highlights the benefits of adding domestic violence prevention approaches to current government policy.

The subject should agree with the verb in the sentence. The study is a singular noun so it will take the singular form of the verb i.e highlights.

A is used when we are referring to a group in general but the is used when we are talking about a specific thing. So, the should come before benefits. Also, of should be used instead of by because the study highlights what the benefits of adding the approaches.

So, options 1,2 and 4 are incorrect.

The correct answer is option 2.

We saw her sitting in the last row.

The subject she will become the object while changing from passive to active voice. The given question contains was seen sitting which means that the active voice will be in the past continuous tense. So, we change the past participle form of the verb seen to the simple past tense i.e saw .

So, options 1,3 and 4 are incorrect.

The correct answer is option 1.

Precarious means not securely held or in position; dangerously likely to fall or collapse.

For eg; That ladder was precarious.

Dangerous means able or likely to cause harm or injury.

For eg; It looked like a dangerous animal.

It is clear that precarious and dangerous are synonyms.

Valuable means worth a great deal of money.

Abundant means existing or available in large quantities; plentiful.

Premature means occurring or done before the usual or proper time; too early.

So, options 2,3 and 4 are incorrect.

The correct answer is maintenance

Key Points

• The correct spelling is maintenance.
• The maintenance of a building, vehicle, road, or machine is the process of keeping it in good condition by regularly checking it and repairing it when necessary.
• Example: The window had been replaced last week during routine maintenance.

The correct answer is Barren

Key Points

• Sterile means too poor in quality to produce crops.
• Barren means too poor to produce much or any vegetation.
• For eg; The plains were barren.
• It is clear that sterile and barren are synonyms.

​

Additional Information

• Productive means producing or able to produce large amounts of goods, crops, or other commodities.
• Fecund means producing or capable of producing an abundance of offspring or new growth; highly fertile.
• Sordid means involving immoral or dishonourable actions and motives; arousing moral distaste and contempt.
• So, options 2,3, and 4 are incorrect.

The correct answer is CBDA

Key Points

• The first statement is  A bell can sound gloomy or cheerful depending on when it is rung because it mainly describes the topic which is going to be talked about in the following statements.
• After C, it should be B -- But for the students of St. Ambrose High School, it no longer dictates their day because, in the first statement, the bell and its sound have been described. So, the second statement is stating how the bell no more controls the day of students in St. Ambrose High School.
• After B, It should be D as it states that reason as to why the bell has been scrapped and it no more controls the day of students.
• A finally concludes, how students enjoy the bell being scrapped

Thus, the sentences when arranged will appear in the following way: A bell can sound gloomy or cheerful depending on when it is rung. But for the students of St. Ambrose High School, it no longer dictates their day. It has been scrapped in favor of music which now breaks up the timetable of the school. The students often go about their business, singing along in the corridors.

The correct answer is venturing

Key Points

• The unfortunate results of (5) venturing - too far are obvious in environmental degradation.
• Venturing means undertake a risky or daring journey or course of action.
• It is clear that venturing will be used as the statement means that the results of taking a risky course of action are obvious in environmental degradation.
• Pioneering means involving new ideas or methods.
• Risking means expose (someone or something valued) to danger, harm, or loss.
• Climbing means to go or come up a (slope or staircase); ascend.
• So, options 2,3, and 4 are incorrect.