SSC CGL Previous Paper (Held On: 3 March 2020 Shift 3) (Previous Year Paper)

The pattern followed is,

Hence, “C” is the correct answer.

Calendar is a chart or series of pages showing the days, weeks, and months of a particular year.

Similarly,

Clock is a mechanical or electrical device for measuring time.

‘Clock : Time’ share the same relationship as that shared by the given pair of words.

Hence, “clock : time” is the correct answer.

Females can be mothers as well as police officers.

The correct Venn diagram is,

Hence, option 2 is the correct answer.

Concept Used:

 $Triangles = n× {{n + 1} \over2}×H$

Where, 

n= number of small triangles

H = number of ‘end to end’ horizontal lines

→ In, ∆ABC:

n= number of small triangles = 2

H = number of ‘end to end’ horizontal lines = 4 (BC, HI, FG, and DE)

$Triangles = 2× {{2 + 1} \over2}×4 = 12$

Hence, Total triangles in ∆ABC = 12

→ In, ∆AJC:

n= number of small triangles = 1

H = number of ‘end to end’ horizontal lines = 2 (AC, LK)

$Triangles = 1× {{1 + 1} \over2}×2 = 2$

Hence, Total triangles in ∆AJC = 2

→ In, ∆NLJ:

n= number of small triangles = 2

H = number of ‘end to end’ horizontal lines = 1 (NJ)

$Triangles = 2× {{2 + 1} \over2}×1 = 3$

Hence, Total triangles in ∆NLJ = 3

→Now, triangles formed due to joining shapes= 3(∆BOJ, ∆BCJ, ∆NJK)

→ Now Adding all the ∆s:

Total ∆s = 12 + 2 + 3 + 3 = 20

Hence, “20” is the correct answer.

The pattern followed is,

For,

7 : 239

2 + 3 + 9 = 14, 14 is divisible by 7

14 / 7 = 2

Similarly,

Option 1 → 711 → 7 + 1 + 1 = 9, 9 is divisible by 9

Option 2 → 728 → 7 + 2 + 8 = 17, 17 is not divisible by 9

Option 3 → 1029 → 1 + 0 + 2 + 9 = 12, 12 is not divisible by 9

Option 4 → 743 → 7 + 4 + 3 = 14, 14 is not divisible by 9

‘711’ is related to the third number in the same way as the second number is related to the first number.

Hence, “711” is the correct answer.

Pattern followed here is,

Taking column wise,

(1^st term × 2^nd term) ÷ 4 = 3^rd term

For column 1:

(28 × 36) ÷ 4 = 252

For column 2:

(30 × 32) ÷ 4 = 240

Similarly, for column 3:

(36 × 18) ÷ 4 = 162

Hence, 162 is the correct answer.

Truth, peace and non – violence are positive words which are used to bring out any social or political change.

Whereas,

Hatred is a negative word which means intense dislike.

Hence, “hatred” is the different one.

The given figure X is embedded in,

Hence, option 2 is the correct answer.

The paper when unfolded looks like,

Hence, option 2 is the correct answer.

According to the given figure,

‘2’ is facing opposite ‘6’

‘3’ is facing opposite ‘5’

And,

‘1’ is facing opposite ‘4’

The figures which can be formed by folding the given sheet are ‘B’ and ‘C’.

Hence, “only B and C” is the correct answer.

The pattern followed is,

Similarly,

Hence, “MGYEWZ” is the correct answer.

The pattern followed is,

1^st term × 15 = 2^nd term

1st term × 19 = 3^rd term

(11, 165, 209) → 11 × 15 = 165, 11 × 19 = 209

Similarly,

Option 1 → (12, 180, 228) → 12 × 15 = 180, 12 × 19 = 228

Option 2 → (17, 245, 323) → 17 × 15 = 255 not 245, 17 × 19 = 323

Option 3 → (15, 225, 275) → 15 × 15 = 225, 15 × 19 = 285, not 275

Option 4 → (14, 210, 323) → 14 × 15 = 210, 14 × 19 = 266, not 276

‘(12, 180, 228)’ are related in the same way as are the numbers in the given set.

Hence, “(12, 180, 228)” is the correct answer.

Tea is a hot beverage made by infusing the dried crushed leaves of the tea plant in boiling water.

Similarly,

Analgesic is a medicine to relive pain.

Hence, “analgesics” is the correct answer.

Isolate comes first in the order.

Isolate is followed by Isoline.

Isoline is followed by Isologs.

Isologs is followed by Isomer.

Isomer is followed by Isonomy.

Isonomy is followed by Isotope.

The correct dictionary order is,

Isolate (4) → Isoline (2) → Isologs (5) → Isomer (1) → Isonomy (6) → Isotope (3)

The word which will come third in the sequence is ‘Isologs’.

Hence, “Isologs” is the correct answer.

The correct mirror image of the given alphanumeric-cluster when a mirror is placed on the right side of the cluster is,

Hence, option 2 is the correct answer.

Drawing the diagram for ‘U + H × L – Q ÷ R – Y’,

1) U + H → U is the father of H.

2) H × L → H is the brother of L.

3) L – Q → L is sister of Q.

4) Q ÷ R → Q is the mother of R.

5) R – Y → R is the sister of Y.

Family tree:

L is the Mother’s sister to Y.

Hence, “mother’s sister” is the correct answer.

Drawing the Venn diagram,

Conclusion 1: Some certificates are prizes → True (This is definitely true)

Conclusion 2: Some medals are prizes → True (This is definitely true)

Conclusion 3: Some certificates are medals → True (This is definitely true)

Hence, “all conclusions 1, 2 and 3” follow.

The pattern followed is,

The series is obtained by adding prime numbers.

Hence, “128” is the correct answer.

The pattern followed is,

Option 1 → 11 : 118 → 11 : 11² – 3

Option 2 → 21 : 437 → 21 : 21² – 4

Option 3 → 33 : 1085 → 33 : 33² – 4

Option 4 → 35 : 1221 → 35 : 35² – 4

All follow the same pattern, except ’11 : 118’

Hence, “11 : 118” is the correct answer.

According to the given information,

Total ages of Amit and Suvarna on January 1^st 2015 is 61 years.

Let the age of Amit be ‘x’ and Suvarna be ‘y’.

x + y = 61

Amit is three years younger than Suvarna

x = y – 3

Substituting it in ‘x + y = 61’

y – 3 + y = 61

2y – 3 = 61

2y = 64

y = 32

So,

Suvarna’s age = 32 and Amit’s age = 32 – 3 = 29

Suvarna’s age on 1^st January 2010 is 32 – 5 = 27 years

Hence, “27 years” is the correct answer.

The pattern followed is,

The Triangle symbol and circle symbol in the given images are rotating clock – wise and the number of lines in below the diamond symbol keeps on increasing.

The diamond symbol is divided into four parts and one part starting from the first part is painted in the given images.

The image which will next in the given pattern is,

Hence, option 1 is the correct answer.

The pattern followed is,

All follow the same pattern, except ‘HMRV’.

Hence, “HMRV” is the correct answer.

Vowels are A, E, I, O and U

A → 1, E → 2, I → 3, O → 4 and U → 5

The pattern followed is,

Similarly,

Hence, “137143625” is the correct answer.

The pattern followed is,

Hence, “AIW” is the correct answer.

Interchanging the two signs and two numbers and using BODMAS rule,

Option 1 → × and - ; 6 and 12

17 + 11 × 6 - 36 ÷ 12 = 80

17 + 11 × 6 – 3 = 80

17 + 66 – 3 = 80

83 – 3 = 80

80 = 80

Option 2 → + and - ; 6 and 12

17 - 11 + 6 × 12 ÷ 6 = 80

17 – 11 + 6 × 2 = 80

17 – 11 + 12 = 80

29 – 11 is not equal t0 80

Option 3 → × and - ; 17 and 11

11 + 17 × 12 - 36 ÷ 6 = 80

11 + 17 × 12 – 6 = 80

11 + 204 – 6 = 80

215 – 6 is not equal to 80

Option 4 → × and - ; 17 and 12

12 + 11 × 17 - 36 ÷ 6 = 80

12 + 11 × 17 – 6 = 80

12 + 187 – 6 = 80

199 – 6 is not equal to 80

Hence, option 1 is the correct answer.

The Correct Answer is Option 1 i.e Halivakara.

Different taxes levied by Gupta rulers are:

The Correct Answer is Option 2 i.e Sri Lanka.

• Dal Bhat is the famous staple food of Nepal.
• Kiribath is a traditional Sri Lankan dish made from rice.
• Mohinga is a fish soup made with rice noodles and is often regarded as Myanmar national food.
• Ema Datshi is a spicy dish made with large, green chilli peppers in a cheesy sauce, which might be called the national dish of Bhutan.

The Correct Answer is Option 2 i.e Lyonchhen Lotay Tshering. 

The Correct Answer is Option 2 i.e eustachian tube

The Correct Answer is Option 2 i.e Venus.

The Correct Answer is Option 4 i.e gypsum.

The Correct Answer is Option 3 i.e Iraq.

• Iraq remains the top crude oil supplier to India for the second year in a row, According to the data released by the Directorate General of Commercial Intelligence and Statistics (DGCI&S).
• DGCI&S: It is an organization of the government of India under the Ministry of Commerce and Industry.
• Saudi Arabia was the second-largest crude oil supplier to India while Iran is the third-largest crude oil supplier to India.
• UAE surpassed Venezuela to become India's fourth-largest crude oil supplier.
• India is the world's third-largest importer of crude oil after China and the USA.

The Correct Answer is Option 2 i.e Colombo.

• Colombo:
• Colombo is the commercial capital of Srilanka.
• Colombo is the largest city in Sri Lanka.
• Gangaramaya Temple is one of the most important temples in Colombo.
• Negombo: It is a city on the west coast of Sri Lanka and is known for its long sandy beaches and centuries-old fishing industry.
• Jaffna: It is the capital city of the Northern Province of Sri Lanka.
• Kandy: It is a major city located in the central province of Sri Lanka.
• Kandy is the home of the Temple of the Tooth Relic, one of the most sacred places of worship in the Buddhist world.
• It was declared a world heritage site by UNESCO in 1988.

The Correct Answer is Option 4. 

The Correct Answer is Option 2 i.e Jay Shah.

BCCI: 

• It is the national governing body for cricket in India.
• Its headquarters are in Wankhede Stadium, Mumbai.
• Grant Govan was its first president
• Anthony De Mello was its first secretary.
• Jay Shah was appointed as the secretary of the BCCI in October 2019.
• Sourav Ganguly is the current president of BCCI.

The Correct Answer is Option 2 i.e China.

 SAARC:

• SAARC is an acronym that stands for the South Asian Association for Regional Cooperation.
• SAARC was founded in Dhaka on 8th December 1985 and is headquartered at Kathmandu, Nepal
• SAARC comprises of eight member states:

1. Afghanistan
2. Bangladesh
3. Bhutan
4. India
5. Maldives
6. Nepal
7. Pakistan
8. Sri Lanka

• China is one of the current nine Observes to SAARC.

The Correct Answer is Option 4 i.e Pinna.

The Correct Answer is Option 4 i.e 746 watts.

CONCEPT:

• Power (P): The rate of work done is called power. 
• The SI unit of power is the watt (W).
• Horsepower: The unit of measurement of power or the rate at which work is done is called Horsepower.
• There are many different standards and types of horsepower. Two common types being used today are Mechanical/Imperial and Metric horse Power.
• One unit of power is Mechanical horsepower which is about 746 watts approximately.
• Another unit of power is Metric horsepower which is about 736 watts approximately.

EXPLANATION:

From the above discussion, 

1 horsepower = 746 Watts. So option 4 is correct.

The Correct Answer is Option 2.

The Correct Answer is Option 2 

The Correct Answer is Option 4 i.e Ministry of Finance.

• National Development Council: 
• It is the apex body for decision creating and deliberations on development matters in India.
• It is presided over by the Prime Minister.
• Economic Survey of India:
• It is a flagship annual report of the Ministry of Finance.
• The department of Economic Affairs, Ministry of finance presents the survey in parliament every year, just before the union budget.
• It is prepared under the guidance of the Chief Economic Adviser of India.
• The survey is a detailed report of the country's economic performance during the past year.
• It is released every year before the Budget.

The Correct Answer is Option 1 i.e Meenakari.

• Meenakari: It involves the process of coloring and ornamenting the surface of metals with the use of brilliant colors in a beautiful design.
• Mughal brought this traditional form of art into the country.
• Chikankari: The word literally means embroidery.
• It is the traditional process of hand embroidery and it is basically practiced in city Lucknow in India.
• ​Phulkari: Literally means 'flower work'.
• It is the traditional embroidery of Punjab and the entire cloth is embroidered and filled with flowers.
• Zardozi: It is a form of embroidery prevalent in India, Iran, Pakistan, and Bangladesh.
• Zardozi embroidery work involved making elaborate designs, using the threads of gold and silver.

The Correct Answer is Option 1 i.e Jagjit Pavadia.

• Jagjit Pavadia:
• Jagjit Pavadia has been re-elected for a five-year term beginning on March 2, 2020, and expiring on March 1, 2025.
• She has been re-elected with the highest number of votes by the UN Economic and Social Council to a five-year term on the International Narcotics Control Board (INCB), 
• Established in 1968, the International Narcotics Control Board is the independent and quasi-judicial monitoring body for the implementation of the United Nations international drug control conventions.
• ​She has been a member of INCB since 2015 and her current term will expire in 2020.

The Correct Answer is Option 2 i.e Vishnugupta.

• Bimbisara was the founder of the Haryanka Dynasty. He started the policy of annexation and expansion.
• Mauryan Empire was founded by Chandragupta Maurya.
• Ashoka is the greatest of the Mauryan rulers
• He was well known for the Kalinga war in 261 B.C.
• Gupta Empire was founded by Sri Gupta.
• Samudragupta was one of the greatest rulers of the Gupta Empire and he was also called Napoleon of India.
• Vishnugupta was the last recognized king of the Gupta Empire.

The Correct Answer is Option 2 i.e Abhinav Bindra.

The Correct Answer is Option 4 i.e Harsha.

The Correct Answer is Option 3 i.e Shanghai.

Yangtze River:

• It is the longest river in Asia
• The third longest river in the world
• Longest river to flow entirely in one country
• The river begins its Journey in the glacial meltwaters of the Tanggula Mountains in Tibet and flows approximately 6300 Kms and empties in the East China Sea near the city of Shanghai.
• Shanghai is located at the mouth of the Yangtze River.

The Correct Answer is Option 3 i.e socialist.

The Correct Answer is Option 1 i.e India.

• As of January 2020, only three countries - Russia, the USA, and China had independently launched a human into space.
• India's first Human space mission called Gaganyaan is planned for 2022.
• India will send three humans into space by 2022.
• If the mission is successful then India could only be the fourth country to do so.

The correct answer is option 4 i.e Bimbisara.

• Haryanka Dynasty:
• It was founded by Bimbisara.
• He started the policy of annexation and expansion.
• He conquered Anga and entered into a matrimonial alliance with the daughter of the king of Kosala and the sister of Prasenjit.
• He was succeeded by his son Ajatshatru.
• Maurya Dynasty:
• It was founded by Chandragupta Maurya, who had overthrown the Nanda dynasty with the help of Chanakya, who is known as Kautaliya.
• Chandragupta was succeeded by his son Bindusara and later Bindusara's death led to a struggle for succession among his sons and finally, Ashoka emerged successful in 268 B.C
• Ashoka is well known for the Kalinga which took place in 261 B.C.

Calculation:

Overtime, Arrears**,** Bonus, and Miscellaneous income comes under other incomes

According to the question,

Salary of A = 52000

Other income = 66000 - 52000 = 14000 

4 times of other income = 14000 × 4 = 56000

52000 < 56000

So, A does not has salary more than four times his other incomes

Salary of B = 48,500

Total income of B = 59,000

Other income of B excluding salary = 59,000 – 48,500 = 10,500

Four times of other income of B = 4 × 10,500 = 42,000

48500 > 42000

So, B has salary more than four times his other incomes

Salary of C = 42,000

Total income of C = 52,000

Other income of C excluding salary = 52,000 – 40,000 = 10,000

Four times of other income of C = 4 × 10,000 = 40,000

42000 > 40000

So, C have salary more than four times his other incomes.

Salary of D = 31,000

Total income of D = 40,000

Other income of D excluding salary = 40,000 – 31,000 = 9,000

Four times of other income of D = 4 × 9,000 = 36,000

31,000 < 36,000

So, D does not have salary more than four times his other incomes

Salary of E = 25,000

Total income of E = 31,700

Other income of E excluding salary = 31,700 - 25000 = 6700

Four times of other income of E = 4 × 67,00 = 26,800

25000 < 26800

So, E does not has salary more than four times his other incomes

Now, we can say only three employees B and C whose salary more than four times their other incomes.

Let the cost price of the article be Rs. 100

MP of the article = 100 × (140/100) = Rs. 140

SP of the article = 140 × (80/100) = Rs. 112

Profit = 112 – 100 = 12

∴ Profit percentage = 12/100 × 100 = 12%

$\frac{{36 \div 42;of;6; \times ;7; + ;24; \times ;6 \div 18; + ;3 \div \left( {2 - 6} \right) - \left( {4; + ;3; \times ;2} \right) \div 8}}{{21 \div 3;of;7}}$

$\Rightarrow {\rm{;}}\frac{{36 \div 42; \times ;6; \times ;7; + ;24; \times ;\frac{6}{{18}}; + ;\frac{3}{{ - 4}} - \left( {4; + ;6} \right) \div 8}}{{21 \div 3; \times ;7}}$

$\Rightarrow {\rm{;}}\frac{{\frac{{36}}{{42; \times ;6}}; \times ;7; + ;8 - \frac{3}{4} - 10 \div 8}}{{21 \div 21}}$

$\Rightarrow {\rm{;}}\frac{{1; + ;8 - \frac{3}{4} - \frac{{10}}{8}}}{1}$

⇒ 1 + 8 – 3/4 – 5/4

⇒ (4 + 32 – 3 – 5)/4

⇒ 7

If AP and BP are tangents to a circle with centre O, then

∠OAP = ∠OBP = 90°

In quadrilateral APBO

∠OAP + ∠OBP + ∠APB + ∠BOA = 360°

⇒ 90° + 90° + 62° + ∠BOA = 360°

⇒ ∠BOA = 360° – 242° = 118°

As we know,

∠AQB = ∠BOA/2

⇒ ∠AQB = 118°/2 = 59°

As we know,

PR² = PQ² + QR²

⇒ 17² = 8² + QR²

⇒ QR = 289 – 64

⇒ QR = √225 = 15

⇒ Cot R = QR/PQ = 15/8

Radius of circle OA = 5 cm

Let the length of the chord be AB

OP = 3 cm

As we know,

OA² = OP² + AP²

⇒ 5² = 3² + AP²

⇒ AP² = 25 – 9 = 16

⇒ AP = √16 = 4 cm

⇒ AB = 2AP = 2 × 4 = 8 cm

Divisibility law of 11: If the difference of the alternating sum of digits of the number is a multiple of 11 (e.g. 2343 is divisible by 11 because 2 – 3 + 4 - 3 = 0, which is a multiple of 11).

The number 94*2357 is divisible by 11, then

⇒ 9 – 4 + * – 2 + 3 – 5 + 7 = 0

⇒ 19 + * – 11 = 0

⇒ (*) = – 8 

⇒ or * = 11 - 8 = 3

Total number of students in Science and Vocational = 35 + 18 + 10 + 30 = 93

Total number of students in all four subjects = 35 + 18 + 25 + 47 + 45 + 40 + 10 + 30 = 250

∴ Percentage of students of Science and Vocational subjects = (93/250) × 100 = 37.2%

Ratio of two numbers = 5x : 7x

⇒ 5x = 20

⇒ x = 20/5

⇒ x = 4

∴ Second number = 7 × 4 = 28

Given:

We have to find the patient of the age group 40-60

Calculation:

Number of patient of age less than 40 is 29

Number of patient of age less than 50 is 35

⇒ Number of people whose age is 40 to 50 is (35 - 29) = 6

Number of patient of age less than 60 is 45

⇒ Number of people whose age is 50 to 60 is (45 - 35) = 10

∴ Total number of people of age 40 to 60 is (6 + 10) = 16

(a + b – c + d)² – (a – b + c – d)²

Put a = 1, b = 2, c = 3 and d = 4, then

⇒ (1 + 2 – 3 + 4)² – (1 – 2 + 3 – 4)²

⇒ 16 – 4

⇒ 12

From option 2.

4a (b + d – c)

⇒ 4 × 1 (2 + 4 – 3)

⇒ 4 × 3

⇒ 12 (satisfied)

Tree Method:

CI for three years = 1200 + 60 + 1 = 1261

Ratio method:

Rate = 5%

SI for 3 years = 1200

SI for 1 year = 1200/3 = 400

5% of 400 = 20

⇒ 5% of 20 = 1

CI for 3 years = 3 : 3 : 1 = 3 × 400 + 3 × 20 + 1 × 1 = 1200 + 60 + 1 = 1261

Detailed Method:

R = 5%, t = 3 years SI = 1200

As we know,

SI = Prt/100

⇒ 1200 = (P × 5 × 3)/100

⇒ P = 8000

Again, As we know,

A = P (1 + r/100)^t

⇒ A = 8000 (1 + 5/100)³

⇒ A = 8000 × (21/20) × (21/20) × (21/20)

⇒ A = 9261

⇒ CI = 9261 – 8000

⇒ CI = 1261

Given:

SP of 6 sewing machines = Rs. 63,000

Profit = 5%

Formula used:

SP = [(100 + P%)/100] × CP

Calculation:

SP of 1 sewing machines = 63,000/6 = Rs. 10,500

CP of 1 sewing machine = 10,500 × (100/105) = 10,000

New SP of 1 sewing machine = 10,000 × (115/100) = 11,500

∴ New SP of 8 sewing machines = 11,500 × 8 = 92,000 

∴ The required selling price is Rs. 92000.

Total number of students = 13 + 15 + 18 + 12 + 14 + 19 + 6 + 3 = 100

Number of students who got more than 20 marks = 14 + 19 + 6 + 3 = 42

∴ Required percentage = 42/100 × 100 = 42%

$\frac{{\tan 30^\circ ; + ;\tan 60^\circ }}{{\cos 30^\circ }}$

$\Rightarrow {\rm{;}}\frac{{\frac{1}{{\sqrt 3 }}; + ;\sqrt 3 }}{{\frac{{\sqrt 3 }}{2}}}$

⇒ (4/√3) × (2/√3)

⇒ 8/3

Given, ∠A = 40°

In ΔABC,

If AB = AC, then

∠B = ∠C

∠A + ∠B + ∠C = 180°

⇒ 40° + ∠B + ∠B = 180°

⇒ 2∠B = 180° – 40 = 140°

⇒ ∠B = 140°/2 = 70°

Concept used:

An angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

Calculations:

If AP bisects ∠BAC, then

AB/AC = BP/PC

⇒ 4/6 = 3/PC

⇒ PC = 18/4

⇒ PC = 4.5

Let X is an even number.

So 5 five consecutive even numbers = X, X+2, X+4, X+6 and X+8

Avg = [5X + (2 + 4 + 6 + 8)] /5 = X+4 = M

and if the next five even numbers X+10, X+12, X+14, X+16 and X + 18 are also included 

then Average will become = [10X + 2(1 + 2 + ... + 9)]/10

=  (10X + 90) / 10 = X + 9 = M + 5

Hence, M+5 is the correct answer.

Shortcut Trick

Let the five consecutive even numbers are 2, 4, 6, 8, 10.

Average of consecutive even numbers = (2 + 4 + 6 + 8 + 10)/5 = 30/5 = 6

Hint: As we know, Average of any AP is the median so, the average = 6

So, M = 6

If the next five even numbers are also included, then the numbers are

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Average of 10 consecutive numbers = (2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20)/10 = 110/10 = 11

Hint: As we know, Average is the median so, the average = 11

We can write 11 = 6 + 5 or M + 5

Speed ratio of two racers = 100 : 120 = 5x : 6x

As we know,

Time is inversely proportional to speed.

Time ratio of two racers = 6x : 5x

⇒ 6x – 5x = 10 min

⇒ x = 10 min

Time taken by first racer to complete race = 6 × 10 = 60 min

Distance = Speed × Time

∴ Distance = 60 × 100 = 6 km

Radius of hemisphere r = 7 cm

As we know

∴ Curved surface area of hemisphere = 2πr² = 2 × (22/7) × 7× 7 = 308 cm²

Concept:

Calculation:

$- \frac{5}{2}; + ;\frac{3}{2} \div 6; \times ;\frac{1}{2}$

⇒ (– 5/2) + 3/2 × 1/6 × 1/2

⇒ (– 5/2) + 1/8

⇒ (– 20 + 1)/8

⇒ (– 19)/8

As we know,

a³ – b³ = (a – b) (a² + b² + ab)

⇒ 27a³ - 2√2 b³

⇒ (3a – √2 b) (9a² + 2b² + 3√2 ab)

Detailed Method:

2 sin θ – 8 cos² θ + 5 = 0

⇒ 2 sin θ – 8 (1 – sin² θ) + 5 = 0

⇒ 2 sin θ – 8 + 8 sin² θ + 5 = 0

⇒ 8 sin² θ + 2 sin θ – 3 = 0

⇒ 8 sin² θ + 6 sin θ – 4 sin θ – 3 = 0

⇒ 2 sin θ (4 sin θ + 3) – 1 (4 sin θ + 3) = 0

⇒ (2 sin θ – 1) (4 sin θ + 3) = 0

Taking,

⇒ (2 sin θ – 1) = 0

⇒ sin θ = 1/2

⇒ sin θ = sin 30

⇒ θ = 30

Now,

tan 2θ + cosec 2θ

⇒ tan 60 + cosec 60

⇒ √3 + 2/√3

⇒ 5/√3

⇒ 5√3/3

Short Trick:

2 sin θ – 8 cos² θ + 5 = 0

Put θ = 30 and satisfied, then

⇒ tan 60 + cosec 60

⇒ √3 + 2/√3

⇒ 5/√3

⇒ 5√3/3

A can complete the whole work in = 20 days

A’s 1 day’s work = 1/20

B can complete the whole work in = 25 days

B’s 1 day’s work = 1/25

Let A complete the whole work in x days.

According to the question

⇒ 5/20 + 5/25 + x/20 = 1

⇒ 1/4 + 1/5 + x/20 = 1

⇒ (5 + 4 + x)/20 = 1

⇒ 9 + x = 20

⇒ x = 20 – 9

⇒ x = 11 days

Short Trick:

Total work = 100

Work done by A and B in 5 days = (5 + 4) × 5 = 45

Remaining work = 100 – 45 = 55

∴ Remaining work, A complete in = 55/5 = 11 days

Let the number be x, then

According to the question

x × (80/100) – (62/100) = 198

⇒ 18x/100 = 198

⇒ x = 198 × (100/18)

⇒ x = 1100

⇒ 1100 × (92/100) – 1100 × (56/100)

⇒ 11 (92 – 56)

⇒ 11 × 36

⇒ 396

Short Trick:

⇒ 80% – 62% = 18%

⇒ 92% – 56% = 36%

⇒ 18% = 198

⇒ 36% = 198 × 2 = 396

The correct answer is option 2 i.e. plead

Implore: Refers to the act of begging someone desperately to do something

Plead: Refers to the act of making an emotional appeal

Thus, it is clear that 'implore' and 'plead' are similar words

Let's look at the meaning of the other words:

Command: Refers to the act of giving someone an order

Refuse: Refers to the act of saying 'no' to something

Honour: Refers to the act of going through with something, doing what one is supposed to

Thus, the correct answer is option 2.

The correct answer is option 1 i.e. respective

The sentence refers to students going to their classes, it can be implied that they went to their own classes.

Respective: Refers to something that is related to a person in question

Thus, the correct answer is option 1.

The correct answer is option 3 i.e. 'He always sings'

The original sentence uses the phrase - He sing always - but this is incorrect because 'always' is an adverb and the adverb always comes before the verb - thus it should come before 'sing' and not after and 'sing' will be replaced with 'sings'.

Thus, the correct answer is option 3.

The correct answer is option 4 i.e. praise oneself

To 'blow one's own trumpet' refers to the act of talking about one's own achievements that comes off as bragging

Thus, the correct answer is option 4.

The correct answer is option 1 i.e. depicted

The sentence refers to 'Egyptian hieroglyphics', these are carvings of an ancient Egyptian carving and thus they cannot be 'diverted' and they cannot be 'directed' and nor can they be 'distributed'. These are carvings that are usually 'depicted' which refers to the act of representing through drawings.

Thus, the correct answer is option 1.

The correct answer is option 3 i.e. give away a secret

'Spill the beans' refers to the act of telling a secret to someone when it is not supposed to be said.

Thus, the correct answer is option 3.

The correct answer is option 3 i.e. reticent

Reticent: Refers to someone who does not reveal their feelings very easily.

For e.g. Michael was not known for being very reticent at the office

Let's look at the meaning of the other words:

Eloquent: Refers to someone who is persuasive in talking

Adamant: Refers to someone who is very insistent about something

Confident: Refers to someone who has  faith in their abilities

Thus, the correct answer is option 3.

The correct answer is: Option 1.

Key Points

• The word "Patrner" is incorrectly spelt. The correct spelling is "Partner". (सहयोगी)
• Example: He is my business partner.
• "Piteous" means deserving or arousing pity. (दया के योग्य)
• Example: The piteous cries of the injured animal were heartbreaking.
• "Pierce" means to penetrate into or run through something, especially with a sharp object. (छेदना)
• Example: The arrow pierced through the target effortlessly.
• "Pursue" means to follow in order to catch or attack. (पीछा करना)
• Example: The detective decided to pursue the suspect on foot.

Therefore, the correct answer is: Option 1.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Piteous (दया के योग्य): Deserving or arousing pity.
• Example: The piteous cries of the injured animal were heartbreaking.
• Pierce (छेदना): To penetrate into or run through something, especially with a sharp object.
• Example: The arrow pierced through the target effortlessly.
• Pursue (पीछा करना): To follow in order to catch or attack.
• Example: The detective decided to pursue the suspect on foot.

The correct answer is option 3 i.e. rash

Vigilant: Refers to someone who is very careful about possible dangers

Rash: Refers to someone who is careless and takes hasty decisions

Thus, it is clear that vigilant and rash are opposite words

Let's look at the meaning of the other words:

Wary: Refers to someone who is very careful and doubting

Alert: Refers to someone who is careful and aware

Sharp-eyed: Refers to someone who is very careful and observant

Thus, the correct answer is option 3.

The correct answer is option 3 i.e. new ones.

The sentence refers to 'my shoes' meaning they were in plural - the new shoes that one buys would also ideally be in a pair - plural. The original sentence refers to 'a new one' which should be replaced with 'new ones'.

Thus, the correct answer is option 3.

The correct answer is option 3 i.e. hoard

Hoard: Refers to stocking or storing something that is scant

The sentence refers to the government warning traders to not do something to the onions. The onions can't be 'grossed', they cannot be 'bulked' and they cannot be 'combined'. They can be 'hoarded'.

Thus, the correct answer is option 3.

Key PointsThe correct answer is option 2 i.e. negociate

The actual spelling should be 'negotiate'

Thus, the correct answer is option 2 

Additional Information

• Nuisance: a person or thing causing inconvenience or annoyance.
• For example: "it's a nuisance having all those people clomping through the house"
• Negligible: so small or unimportant as to be not worth considering; insignificant.
• For example: "he said that the risks were negligible"​
• Necessary: needed to be done, achieved, or present; essential.
• For example: "they granted the necessary planning permission"​

The correct answer is option 2 i.e. She asked me what time my flight was the following day

The following conversion will take place when a Direct speech is converted into Indirect speech:

• The next day will be changed into "the following day".
• Present tense will be changed into the Past tense.

Only Option 2 follows these changes

Thus, the correct answer is option 2.

The correct answer is "occurred". 

Key Points

• The sentence reads: "Believe it or not, the first recorded watermelon harvest nearly 5000 years ago in Egypt and is depicted in Egyptian hieroglyphics on the walls of their buildings."
• The word "occurred" means "to happen or take place".
• In this context, it is referring to the first recorded watermelon harvest.
• The other options are not as appropriate.
• "Contained" means "to hold or include something", which does not make sense in this context.
• "Discovered" means "to find or learn something for the first time", which is not what the sentence is about.
• "Produced" means "to make or create something", which is also not what the sentence is about.
• Therefore, the best option to fill in blank 2 is "occurred".

Hence, the correct answer is "Option 4".

The correct answer is option 3 i.e. ancient

The passage refers to old buildings on Egypt which hold carvings of watermelon harvests, and when something like this is discovered it is not considered to be 'elderly' - this is used to refer to people or living things - or 'outdated' as these carvings are an important part of history till date and they cannot be 'obsolete' either as they are not useless. Calling them 'ancient' would be the most appropriate as it refers to something that belongs to the distant past.

Thus, the correct answer is option 3.

The correct answer is option 1 i.e. in

The sentence refers to placing something in burial tombs in order to provide nourishment - something cannot be placed 'with' a burial tomb, something cannot be placed 'after' a burial tomb and something cannot be placed 'along' a burial ground. 

Thus, the correct answer is option 1.

The correct answer is option 3 i.e looking anybody

The sentence is missing the preposition 'at' after the verb. One cannot walk down a road without 'looking anybody', one has to do that without 'looking at anybody' because 'looking' is an action that is done 'at' something.

Thus, the correct answer is option 3.

The correct answer is option 3 i.e. wardrobe

Key Points

Wardrobe: A tall or large cupboard where clothes are hung

• Let's look at the meaning of the other words:
• Coffin: A wooden box in which dead bodies are buried
• Hangar: A large building that is usually held for storing aircraft
• Shaft: Refers to the long or narrow part of a tool

Thus, the correct answer is option 3.

The correct answer is option 1 i.e. stiff

Flexible: Refers to something that is capable of bending easily without breaking

Stiff: Refers to something that is not easily changeable into a another shape

Thus, it is clear that flexible and stiff are opposite words

Let's look at the meaning of the other words:

Soft: Refers to something that is easy to mold or cut

Supple: Refers to something that bends or molds easily

Stale: Refers to something that is no longer fresh to eat

Thus, the correct answer is option 1.

The correct answer is option 3 i.e. A picture of the snow-capped mountains was drawn by Martin.

The original sentence is in the active voice, the format for that is: