SSC CGL Previous Paper (Held On: 10 June 2019 Shift 2) (Previous Year Paper)

The pattern followed here is,

F + 3 = I; I + 3 = L; L + 3 = O

Q + 3 = T; T + 3 = W; W + 3 = Z

P - 1 = O; O + 8 = W; W + 3 = Z

K + 3 = N; N + 3 = Q; Q + 3 =T

Hence, ‘POWZ’ is the odd one out.

The first three figures follow the following paths:-

Triangles in the images are rotating in the Clockwise direction.

Open boxes in the images are rotating in the Anti-Clockwise direction.

Two Concentric arcs in the first two images are facing the opposite directions.

Only the image in the fourth option continues the existing path.

Hence, figure 4 is the correct answer.

When the mirror is placed to the right of the figure, the following changes occurs

1. The arrow facing towards the North East will face towards the North West in the mirror image.
2. Shaded Square, which is in the left side, will be appeared in the right side for the mirror image.
3. Circle which is at the right side will be appeared at the left side for the mirror image.
4. Vertical and Horizontal lines remain unchanged.

Hence, image 4 will be the mirror image of the given figure.

In options 1, 3, 4 we cannot find the question figure as there is no combination of two parallelograms and triangle inscribed in a pentagon.

Hence, figure 2 is correct.

From the figure, it is clear that,

1 and 2 are opposite to each other

3 and 5 are opposite to each other

4 and 6 are opposite to each other

Hence, number 5 appears on the face opposite to the number 3.

According to the alphabetical position of the letters,

A + 1 = B

B + 3 = E

E + 5 = J

J + 7 = Q

Similarly,

Q + 9 = Z

Hence, Z is the correct answer.

The pattern followed here is,

Similarly,

Hence, ‘TELEPHONE’ is written as ‘VMLSKVOVG’ in that language.

We can draw the diagram as per the symbol diagram below.

Hence, Saksham is the father of Nidhi.

The pattern followed here is,

In first row,

= (12)² - (7)²

= 144 - 49

= 95

In second row,

= (14)² - (8)²

= 196 - 64

= 132

Similarly, in the third row,

= (16)² - (9)²

= 256 - 81

= 175

Hence, 175 is the correct answer.

The pattern followed here is,

In the first row,

(19 + 20) × 2 = 78;

In the second row,

(25 + 47) × 2 = 144;

Similarly, in the third row,

(16 + 13) × 2 = 58

Hence, 58 is the correct answer.

The word “Costly”, “Expensive”, and “Valuable” signifies the quality and the amount of money associated with the product. But the Word “Big” signifies the size of the products.

Hence, the word “Big” is the Odd one.

The word in the right side comes under the classification of word in the left side.

For example, winter is one of the types among many seasons.

Similarly, April is one among many months.

Hence, April is the correct answer.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. Some writers are teachers → False (It is possible but not definite.)

II. No writer is a teacher → False (It is possible but not definite.)

Both conclusions I and II forms complementary pair.

Hence, either conclusion I or II follows.

Teachers and students will be inside the School.

Hence, the Venn diagram in the figure 1 is the correct answer.

According to BODMAS rule, the sequence of arithmetic operation will be Division, Multiplication, Addition and Subtraction.

8 × 2 ÷ 5 - 16 + 4 is not equal to 14

8 - 2 + 5 × 16 ÷ 4 is not equal to 14

8 ÷ 2 + 5 - 16 × 4 is not equal to 14

8 + 2 × 5 - 16 ÷ 4 is equal to 14

By interchanging x and +, we can make the equation correct.

Hence option 2 is correct.

Hence, there are 34 triangles in the given figure.

Let the present age of Tanya be X.

Given that X = 10

Nisha’s age = 3x

= 3 x 10 = 30

Deepak’s age = 30 + 5 = 35

Deepak‘s age at the time of Tanya’s birth = 35 - 10 = 25

Hence, 25 is the correct answer.

The pattern followed here is,

Hence, 16 is the correct answer.

According to the alphabetical positions of the letters,

Similarly,

Hence, 31452 is the correct answer.

Great Pyramid is located in Giza.

Giza is located in Egypt.

Egypt is located in Africa.

Africa is located in World.

Hence the logical and meaningful order is 3, 5, 1, 2, and 4.

In all options except’ 64 : 54’, the number in left side is the multiple of 8 and the number in the right side is multiple of 7.

In option 2, the number in the right side is not the multiple of 7.

Hence 64 : 54 is the odd one out.

The pattern followed here is,

(12 × 6) - (12 ÷ 3) = 68;

Similarly,

(21 × 6) - (21 ÷ 3) = 119

Hence, 119 is the correct answer.

Alternate Method The numbers are in the ratio of 3/17.

12/68 = 3/17

Similarly,

21/119 = 3/17.

‘Yuan’ is the currency of China.

‘Rand’ is the currency of South Africa.

‘Sushi’ is a food item in Japan.

‘Lira’ is the currency of Turkey.

‘Yen’ is the currency of Japan.

Hence, ‘Japan’ is related to ‘Yen’.

The pattern followed here is,

B + 2 = D; D + 2 = F; F + 2 = H; H + 2 = J;

O + 1 = P; P + 1 = Q; Q + 1 = R; R + 1 = S;

P - 2 = N; N - 2 = L; L - 2 = J; J - 2 = H

Hence, ‘JSH’ is the correct answer.

The paper is unfolded in the manner given below,

Hence, figure 2 is the correct answer.

• Ramanathan Krishnan was the first Indian player to represent independent India at Wimbledon
• He is one of India's greatest tennis players of all time
• He had won the Junior Wimbledon title in 1954
• He also reached the semifinals of Wimbledon twice in 1960 and 1961

• World Global Recycling Day was observed on 18th March 2019
• It was the effort of the Bureau of International Recycling and the Global Recycling Foundation
• The theme of the day was 'Recycling Into The Future' to empower youth for future of the planet
• It was first created in 2018 by the Bureau of International Recycling

• A Passage to England was authored by Nirad C Chaudhuri
• The book shows the author's impressions on the way of living in England at his first visit
• It was written when the author was at the age of 57
• The book was first published in 1959

Additional Information

• A Passage to India is a 1924 novel by English author E. M. Forster set against the backdrop of the British Raj and the Indian independence movement in the 1920s.
• It was selected as one of the 100 great works of 20th-century English literature by the Modern Library and won the 1924 James Tait Black Memorial Prize for fiction

• The popular folk dance is performed in Punjab
• The dance is similar to Bhangra but performed only by women
• The dance is especially famous in the village of Malwa
• Viyahula Giddha is danced in a circle. The girls form a ring. One of them uses a  (dholki) while sitting in the centre

• Karen Uhlenbeck was the first woman to be awarded the Abel Prize in history
• The Abel Prize is an annual prize awarded by the King of Norway to excellent mathematicians
• It is named after the famous Norwegian mathematician Niels Henrik Abel
• Karen Uhlenbeck, a professor at University of Texas won the prize for her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics

The correct answer is Kerala.

Key Points

• Silent Valley National Park is a beautiful representation of the last remaining rainforest of Kerala.
• Silent Valley was declared as National Park in 1984 and formally inaugurated in the year 1985.
• In 1914, Silent Valley forests were declared as Reserved Forest. Till 1921, Silent Valley was part of the South Malabar Forest Division with headquarters at Nilambur.
• In 1921, it came under the control of the Palakkad Forest Division and managed so until 1988.
• 41 mammals, 211 birds, 49 reptiles, 47 amphibians, 12 fishes, 164 butterflies, and 400 species of moths are found here.
• This park harbors a viable population of Lion-tailed macaques which also is the flagship species of the Park.
• It is at the heart of Nilgiri Biosphere Reserve and consists of areas of South Western Ghats rain forests and tropical wet evergreen jungle.
• River Kunthi passes through it.
• Flora: Humid wet Evergreen Rain Forests. The major plants of the park are Teak, Amla, Semal, Rosewood along bamboo.
• Fauna: Silent Valley Park is known for many highly endangered species such as lion-tailed macaque, tiger, gaur, leopard, wild boar, panther, Indian Civet, and Sambhar.

• Ascorbic Acid is commonly known as Vitamin C.
• Vitamin C is an essential nutrient for the body as it is involved in tissue repair and enzyme related functions.
• A deficiency of vitamin C can cause a disease known as scurvy.
• Bruising, bleeding gums, weakness, fatigue and rash are common symptoms of scurvy.
• The vitamin can be obtained from consuming citrus fruits.

• Independent India won its first Olympic Gold for hockey in 1948 just a year after independence
• The 1948 Olympics took place in Wembley Park in London
• India in total took part in 39 events throughout 10 sports and came home with the single gold medal
• India won its maiden medal by defeating Great Britain 4-0 in the finals

The correct answer is option 4 i.e China,

• China has the largest parliament in the world
• It has a strength of 2,980 seats in the singular house of its parliament
• In other words, the parliament is unicameral.
• The world average of parliamentarians per country is 245.
• China's Parliament is called the National People's Congress.

• The appendix is a vestigial organ out of the above options
• A vestigial organ is an organ in the body that has lost its use because of evolution
• In other words the organ did serve some purpose in the past for the species but now has been reduced to something smaller and simple as it is no longer needed
• The actual function of the appendix from the past is still unknown
• Some other examples of vestigial organs are the tail bone and wisdom teeth

• Mahatma Gandhi founded the Natal Indian Congress in the year 1894.
• The Natal Indian Congress (NIC) was an organization formed to fight the discrimination faced by Indians in South Africa
• Gandhi was the first Honorary Secretary of the Congress.
• This organisation went on to lead many non-violent protests in the cause of discrimination faced not just by Indians but also by native Africans.

• Crackers explode because of a combustion reaction that takes place
• The explosion is caused when the chemicals present in the powder filling are ignited
• Combustion is a reaction in which a substance burns in the presence of oxygen to release energy
• The released energy from the reaction is what causes the display of light and also the heat that is emitted from the crackers
• The basic reaction can be summed up as:Reagent + Oxygen → Product + Energy

• The Andaman and Nicobar Islands lie in the Bay of Bengal
• They are an archipalego of 572 islands in total out of which only 37 are inhabited
• They are located about 600 kilometers east of the coast of Myanmar
• They are an Indian Union Territory with an area of 8,250 km²
• The capital of the islands is the largest city of Port Blair

• The Anglo-Burmese war halted after the Treaty of Yandabo was signed
• The treaty was signed in February of 1826 that ended the two year long war
• The British won the first war after the death of the Burmese General Bandula in a battle south of Ava
• The victory was also majorly because of the constant supplies from India that allowed the British to continue expedition for two seasons

• Ethanoic acid  is the most abundant chemical on vinegar
• Vinegar is basically a solution of ethanoic acid and water in varying concentrations
• The acid is what gives vinegar such a strong smell
• The chemical formula of ethanoic acid is CH₃COOH and has a pH of 2.4 which gives it the sour taste

The correct answer is Option 4, i.e Rigel.

• Rigel is the brightest star in the Orion Constellation.
• The star is a blue star in the super giant category.
• The star has a mass 18 time that of our own sun.
• It is the seventh brightest star in the night sky.
• Surface temperatures on Rigel can reach up to 11000 K.
• Eta Orionis is a multiple star in the constellation Orion.
• Betelgeuse the second-brightest in the constellation of Orion.
• Alnilam is a large blue supergiant star some 2,000 light-years distant in the constellation of Orion

• The Budget Line shows all the combinations of two commodities that a consumer can afford at given market prices and within the particular income level in economic terms
• In other words, the budget line will show how much quantity of two commodities can be bought by consumer if a certain budget is fixed
• The two constraints in this particular scenario are the fixed budget and the market price of the two goods
• If there are two goods X and Y, the budget equation can be expressed by P_x X Q_x +  P_y X Q_y = M
• Where P_x and P_y are prices of X and Y, Qx and Q_y are quantities of X and Y and M is the money income (budget) of consumer

• The Liberation War ended on 16th December 1971
• The War lead to the independence of the country of Bangladesh
• Before independence Bangladesh was known as East Pakistan
• The war started when West Pakistan started a military operation to eliminate nationalist citizens known as Operation Searchlight
• This was triggered because of massive civil disobedience caused of civilians, it ended in 16 December after the military surrendered

• There are 225 seats in the Sri Lankan Parliament.
• Similar to India, the members of the Sri Lankan Parliament for a five-year term.
• The Sri Lankan parliament is modeled after the British Parliament.
• The current parliament  is the 16th parliament of Sri Lanka.

The correct answer is Gobind Behari Lal.

Key Points

• The first Indian to win a Pulitzer Prize was Gobind Behari Lal, a journalist in the year 1937.
• Jhumpa Lahiri, Geeta Anand, Siddhartha Mukherjee have also won Pulitzer awards for a novel, journalism, Biography in medicine.

Additional Information

• Pulitzer Prize 
• It is one of the prestigious awards in the United States given for its achievements in the field of Online Journalism and newspaper, literature, and musical composition.
• The Pulitzer Prize was established in the year 1917 and named after the American publisher Joseph Pulitzer.
• Presented by: Columbia University​

• A canyon is a deep and narrow valley that is formed by weathering, erosion or tectonic activity
• Most canyons are formed by long time erosion of a plateau or table land
• Rivers have a tendency to carve out canyons in the terrains as moving water can cause large scale erosion over long periods of time
• The largest canyon in the world is the Yarlung Tsangpo Grand Canyon situated in Tibet which is at 5,500 meters

• The Gamocha is a cultural symbol of Assamese culture
• It is an article of clothing which is also known as Gamusa in Assamese.
• It is primarily a white rectangular piece of clothing that is made from Pat Silk traditionally.
• It has red borders on three of its side and red woven motif on the fourth one.
• Even though traditionally Pat Silk was used to make it, common Gamochas are made of cotton yarn.

The correct answer is Iskander Mirza.

Key Points

• Iskander Mirza was the first President of Pakistan, he was a former Major General of the country
• He became President in 1956, before that Pakistan did not have the title of President
• There were Governor Generals from 1947 to 1956 as Pakistan was still a republic state with the British Monarch as head
• In 1956, the Pakistani Constitution was passed and the country appointed its first President.
• Liaquat Ali Khan, served as the first prime minister of Pakistan after independence (1947–1951).

• A monopsony is a market condition where there is a single buyer with many sellers
• It is in fact a condition which is opposite to that of a monopoly
• In a monopsony the single buyer has large control on the market as the major purchaser of goods and services provided by many sellers
• An example would be a food retailer that buys supplies from many farmers growing the same crop

• A Century is not Enough: My Roller-coaster Ride to Success was authored by Sourav Ganguly in 2018
• It is the autobiography of one of India's most famous cricket players
• The book was released on 24 February 2018
• It is co-authored by Gautam Bhattacharya

As we know,

⇒ (x – 1/x)² = x² + 1/x² – 2

Given, √x – 1/√x = 4

⇒ (√x – 1/√x)² = (√x)² + (1/√x)² – 2

⇒ 4² = x + 1/x – 2

⇒ x + 1/x = 16 + 2 = 18

⇒ (x + 1/x)² = x² + (1/x)² + 2

⇒ 18² = x² + 1/x² + 2

⇒ x² + 1/x² = 324 – 2 = 322

Given, ∠BAC = 40°

⇒ ∠ACB = 90° [angle in a semicircle is 90]

In ΔACB

⇒ ∠ACB + ∠CBA + ∠BAC = 180°

⇒ ∠CBA = 180° – 90° – 40° = 50°

⇒ ∠DCA = ∠CAB = 40° [Alternate interior angle]

⇒ ∠DCA = ∠ABD = 40° and ∠CAD = ∠DBC

∵ Two inscribed angles forming the same arc or forming two equal arcs are equal.

⇒ ∠CBA = ∠DBC + ∠ABD

⇒ 50° = ∠DBC + 40°

⇒ ∠DBC = 50° – 40° = 10°

⇒ ∠CAD = ∠DBC = 10°

⇒ a : b = 3 : 2

Suppose a = 3 & b = 2

⇒ (5a + 2b) : (3a + 4b)

⇒ (5 × 3 + 2 × 2) : (3 × 3 + 4 × 2)

⇒ ( 15 + 4) : (9 + 8)

⇒ 19 : 17

Without stoppage average speed = 50 km/h

With stoppages average speed = 40 km/h

As we know,

Time of rest per hour equal to the difference in average speed divided by the speed without stoppage.

Required time = [(50 – 40)/50] × 60 = 12

So, A train stops on an average 12 minute/hr

Let the radius of sphere be r cm.

Volume of sphere = [4/3] × π r³

If the radius reduced by 40%

New radius of sphere = r × [60/100] = 0.6r

New volume of sphere = [4/3] × π × (0.6r)³ = [4/3] × π × 0.216 × r³

Volume decreased by = $\frac{4}{3}{\rm{\Pi }}{{\rm{r}}^3} - \frac{4}{3}{\rm{\Pi ;}} \times {\rm{}}0.216{{\rm{r}}^3}{\rm{}} = {\rm{}}\frac{4}{3}{\rm{\Pi }}{{\rm{r}}^3}\left( {1 - 0.216} \right){\rm{}} = {\rm{;}}0.784{\rm{}} \times {\rm{}}\frac{4}{3}{\rm{\Pi }}{{\rm{r}}^3}$

Required percentage = $\left[ {\frac{{0.784{\rm{;}} \times {\rm{;}}\frac{4}{3}{\rm{\Pi }}{{\rm{r}}^3}}}{{\frac{4}{3}{\rm{\Pi }}{{\rm{r}}^3}}}} \right]{\rm{}} \times {\rm{}}100$ = 78.4%

Short trick:

⇒ -40 – 40 + (40 × 40)/100 = (-80) + 16 = (-64)%

⇒ -64 – 40 + (64 × 40)/100 = (-104) + 25.6 = -78.4%

Given, a + b + c = 13 and ab + bc + ca = 54

As we know,

⇒ a³ + b³ + c³ – 3abc = (a + b + c) [(a + b + c)² – 3(ab + bc + ca)]

⇒ 13 [13² – 3 × 54]

⇒ 13 (169 – 162)

⇒ 13 × 7

⇒ 91

Given:

 sec 4θ = cosec (θ + 20°)

Calculation:

sec 4θ = cosec (θ + 20°)

⇒ sec4θ = sec [90° – (θ + 20°)]

⇒ 4θ = 90° – θ – 20°

⇒ 5θ = 70°

⇒ θ = 14°

So, the value of θ is 14°

Given, PT = 5, PA = 4 and AB = x

As we know,

⇒ PT² = PA × PB

⇒ 5² = 4 × (4 + x)

⇒ 25 = 4 × (4 + x)

⇒ (x + 4) = 25/4

⇒ x = 25/4 – 4 = 9/4 = 2.25

Given:

 sin²38° + sin²52° + sin²30° – tan²45°

Data Used:

sin30° = 1/2

tan45° = 1

Calculation:

sin238° + sin252° + sin230° – tan245°

⇒ sin²38° + cos²(90° – 52°) + sin²30° – tan²45°

⇒ sin²38° + cos²38° + (1/2)² – 1²

⇒ 1 + (1/4) – 1

⇒ 1/4

Average marks of 40 students = 68

Sum of marks of 40 students = 68 × 40 = 2720

According to the question

Correct sum of marks of 40 students = 2720 – 48 – 64 + 84 + 46 = 2738

Correct average marks of 40 students = 2738/40 = 68.45

Short trick:

⇒ 68 + [(84 + 46 – 48 – 64)/40]

⇒ 68 + [18/40]

⇒ 68.45

Let the initial price of sugar be 100x.

Price of sugar after increased = 100x × [120/100] = 120x

Person wants his expenditure increase by 8% only, so his expenditure should be = 100x × [108/100] = 108x

∴ Required percentage = (120x – 108x)/120 × 100 = 10%

⇒ 4.5 – (3.2 ÷ 0.8 × 5) + 3 × 4 ÷ 6

⇒ 4.5 – (4 × 5) + 3 × (2/3)

⇒ 4.5 – 20 + 2

⇒ 6.5 – 20

⇒ - 13.5

Given:

tan θ = 2/3,

$\frac{{3{\rm{sin\theta ;}} - {\rm{;}}4{\rm{cos\theta }}}}{{3{\rm{sin\theta ;}} + {\rm{;}}4{\rm{cos\theta }}}}$

Calvulation:

$\frac{{3{\rm{sin\theta ;}} - {\rm{;}}4{\rm{cos\theta }}}}{{3{\rm{sin\theta ;}} + {\rm{;}}4{\rm{cos\theta }}}}$

Divide by cos θ

$⇒ \frac{{3{\rm{tan\theta ;}} - {\rm{;}}4}}{{3{\rm{tan\theta ;}} + {\rm{;}}4}}{\rm{}}$

$= {\rm{}}\frac{{3{\rm{;}} \times {\rm{;}}\frac{2}{3}{\rm{;}} - 4}}{{3{\rm{;}} \times {\rm{;}}\frac{2}{3}{\rm{;}} + {\rm{;}}4{\rm{;}}}}{\rm{}}$

$= {\rm{}}\frac{{2 - 4}}{{2{\rm{;}} + {\rm{;}}4}}$

= -2/6

= -1/3

Let MP of the article be Rs. x

According to the question

⇒ x × [80/100] × [88/100] = 528

⇒ x = 750

MP of the article = Rs. 750

Given:

The difference between the compound interest and simple interest on Rs. X at 8% per annum for 2 years is Rs. 19.20

Formula used:

Difference between the compound interest and simple interest for 2 years = PR²/100 × 100

Calculation:

P × 8 × 8 /100 × 100 = 19.20

⇒ P = 3000

∴ Value of X is Rs 3000.

Given, AB = 4 cm, BC = 6 cm, AC = 5 cm

If ΔABC ~ ΔRQP

⇒ ar (ΔABC)/ar (ΔPQR) = BC² / PQ²

⇒ 9/4 = 6²/PQ²

⇒ 9/4 = 36/PQ²

⇒ PQ² = (36 × 4)/9 = 4 × 4

⇒ PQ = 4

Given:

Selling Price of two articles = Rs 9720 each.

On one article, gain = 8%

On other article, loss = 10%

Calculation:

SP of each article = Rs. 9720

CP of first article = 9720 × [100/108] = 9000

CP of second article = 9720 × [100/90] = 10800

Total SP of both article = 9720 × 2 = 19440

Total CP of both article = 90000 + 10800 = 19800

Total loss = 19800 – 19440 = 360

Shortcut Trick Ratio of CP to SP of first article = 25 : 27

Ratio of CP to SP of second article = 10 : 9 ---- (1) × 3

Multiply by 3 in equation (1)

New ratio of CP to SP of second article = 30 : 27

⇒ 54 unit = 2 × 9720

⇒ 1 unit = 360

Concepts Used:

1. For two triangles, if their base are on the same line and the third vertex is common, then the heights of both triangles become equal

Area(Δ1) : Area(Δ2) = Base1 : Base2

2. Centroid divided the median in the ration 2:1

Calculations:

AD is median, so AD divides the triangle into two equal part

Area (ΔADB) = Area (ΔADC)

In ΔBDG and ΔBGA, the point B is common and their base are on the same line

⇒ Heights (H) of ΔBDG and ΔBGA will be equal

⇒ Area(ΔBDG)/Area(ΔBGA) = [(1/2)DG × H] / [(1/2)AG × H]

⇒ Area(ΔBDG)/Area(ΔBGA) = DG/AG

⇒ Area(ΔBDG)/Area(ΔBGA) = 1/2

Let the Area(ΔBDG) = 1 unit

⇒ Area(ΔBGA) will be = 2 units

Area (ΔBAD) = Area (ΔBDG) + Area (ΔBGA) = 1 + 2 = 3 units

Area (ΔABC) = 2 × Area (ΔBAD) = 2 × 3 = 6 units

⇒ Area (ΔBDG) : Area (ΔABC) = 1 : 6

Let efficiency of B be 100

Efficiency of A will be = 100 × [140/100] = 140

Efficiency of C will be = 100 × [80/100] = 80

Efficiency ratio of A, B and C = 140 : 100 : 80 = 7 : 5 : 4

Total work = (7 + 5 + 4) × 5 = 80

70% of total work = 80 × [70/100] = 56

70% of total work A will complete in = 56/7 = 8 days

Divisibility law of 4: A number divisible by 4 if its last 2 digit is divisible by 4

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).

⇒ 15x1y2 is divisible by 4 if y = 1 or 3

If y = 1, then

⇒ 15x112 is divisible by 11 if x = 6

If y = 3 then

⇒ 15x132 is divisible by 11 If x = 4

If y = 1 and x = 6, then

⇒ x + y = 1 + 6 = 7

If y = 3 and x = 4, then

⇒ x + y = 3 + 4 = 7

⇒ x + 1/x = 3

As we know,

⇒ (x³ + 1/x³) = (x + 1/x)³ – 3(x + 1/x)

⇒ (x³ + 1/x³) = 3³ – 3 × 3 = 27 – 9 = 18

Enrolled students in college A and B in year 2012 = 370 + 250 = 620

Enrolled students in college D and E in 2013 = 420 + 430 = 850

∴ Required ratio = 620 : 850 = 62 : 85

Total number of students in college D = 430 + 450 + 470 + 420 + 480 = 2250

Average of students studying in college D = 2250/5 = 450

Total enrolled students in 2014 = 420 + 290 + 340 + 480 + 480 = 2010

Enrolled students of college C in 2014 = 340

∴ Required percentage = (340/2010) × 100 = 16.9%

Number of students studying in college E in 2013 = 430

Total number of students studying in college B, C and D in 2013 = 310 + 370 + 420 = 1100

∴ Required percentage = [430/1100] × 100 = 39.09%

The idiom square peg in a round hole is used to describe a person who is a misfit, especially a person unsuited for a position or activity.

For example: I feel like a square peg in a round hole at my office, everyone is so extroverted while I prefer being quiet. 

We can see from the given options that the explanation in option 4 most closely matches the meaning of the given idiom. It also contextually fits in the sentence because she, a rich woman, felt out of place in a poor family and a small village.

Hence, the correct answer is option 4.

The idiom smell a rat is used to describe a situation in which you suspect or realize that something is wrong.

For example: Though Nakul was acting very suspicious, his teacher still didn't smell a rat.

We can see from the given options that the explanation in option 2 most closely matches the meaning of the given idiom.

Hence, the correct answer is option 2.

The correct answer is: Option 3.

Key Points

• The word "conscientious" means wishing to do one's work or duty well and thoroughly. (ईमानदार)
• Example: She was a conscientious student, always paying attention in class and completing her assignments on time.
• "Conscientious" refers to a person who is diligent and careful in their work or duties. (ईमानदार)
• Example: The conscientious worker double-checked every detail before submitting the report.
• Hence, we can infer that the correct spelling of the word is 'conscientious'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Consenteous (ग़लत वर्तनी): Incorrect spelling of the word "conscientious".
• Conscentious (ग़लत वर्तनी): Incorrect spelling of the word "conscientious".
• Concentious (ग़लत वर्तनी): Incorrect spelling of the word "conscientious".

The correct word is 'revengeful'.

Key Points 

• The word vindictive is an adjective that means having or showing a strong or unreasoning desire for revenge. (बदला लेने की प्रबल या अनुचित इच्छा होना या प्रदर्शित होना।)
• revengeful- disposed to seek revenge or intended for revenge (बदला लेने के लिए प्रवृत्त या बदला लेने का इरादा)
• From the given options, it is clear that it is closest in meaning to the word revengeful.
  

Hence, option 3 is correct.

The word in question should be correctly spelled as a challenge.

Key Points

• Challenge means (the situation of being faced with) something that needs great mental or physical effort in order to be done successfully and therefore tests a person's ability ((सामना करने की स्थिति) कुछ ऐसा जिसे सफलतापूर्वक करने के लिए बहुत मानसिक या शारीरिक प्रयास की आवश्यकता होती है और इसलिए किसी व्यक्ति की क्षमता का परीक्षण करता है।)
• Example: It's going to be a difficult job but I'm sure she'll rise to the challenge.

The word is correctly spelled only in option 3.

The first sentence of the passage introduces the topic of the passage and stands independently in meaning. This is only true for sentence D. The other sentences all refer to concepts not mentioned within them.

Hence, sentence D is the first sentence.

The next sentence should be A since it mentions the word therefore describing how cloth manufacturers had to depend on something. Therefore, the previous sentence must mention a reason for this, which is true for sentence D that states that indigo was expensive.

The next sentence will be C, since it expands further on the topic of woad mentioned in the previous sentence, A.

Finally, the last sentence will be B.

Therefore, the correct order of sentences is DACB.

Hence, option 2 is correct.

In order to convert the given active sentence into passive:

• The object of the active sentence (good pictures) must become the subject. All given options follow this rule.
• The tense (present continuous) must remain the same even active turns into passive. Only option 4 follows this rule.

Hence, the correct answer is option 4.

The given sentence is grammatically correct and requires no change. Here are the reasons why:

• Human activity is a singular noun and requires a verb in its singular form. Hence, the verb form means fits here.
• Also, the context of the sentence suggests that it is a fact pertaining to the present time, hence the past tense form meant would not fit here.
• The construction is meaning is not a grammatical construction and is hence incorrect.
  

Therefore, the correct answer is option 2 i.e. the sentence requires no improvement.

When describing the quality of an action performed by someone, we use the words act of followed by a noun that describes that quality. 

For example:

• An act of cruelty
• An act of bravery
  

Therefore, in the given context, the correct preposition to be used should be of to describe telling someone something that you admire about them as an act of kindness i.e. a kind act. 

Hence, the correct answer is option 4.

The correct word here should be effort.

The context of the given sentence clearly states that complimenting someone pays enormous dividends despite requiring almost no activity or attempt from one's side.

Replacing effort with any of the other options - venture, knowledge and result would not make the same sense.

Hence, the correct answer is option 1

The correct verb form to fit in the blank here is simple present tense form spend. 

This is because the sentence is making a general statement that applies to the lives of 'many people', both in the past and present. Hence, the past tense forms in options 1 and 3 don't make sense.

Option 4 is in the present perfect continuous tense (have been spending) and does not fit here either because it denotes an action that started in the past and has continued up to the present moment.

Simple present tense (spend), on the other hand, is used to talk about things that happen regularly.

Hence, option 2 is correct.

Here are the meanings of the given words:

• Acknowledge - to recognise the importance or quality of something or someone
• Admit - to confess to be true
• Concede - to admit, often unwillingly, that something is true
• Confess - to admit that you have done something wrong

The given passage clearly talks about the kindness of telling people what you admire about them. Out of the given words, clearly acknowledge best expresses this meaning.

Hence, option 1 is correct.

The correct word that fits the blank here is however.

This is because this word helps us make a contrast between the previous part of the sentence (that we like compliments from friends and family) and the next one (that compliments from strangers can also feel good if they are genuine). 

Because and so express a cause and effect relationship. Unless is used to mean except. None of these options help make contextual sense of the sentence.

Therefore, option 4 is correct.

The word affinity means a liking or sympathy for someone or something.

Here are the meanings of all the given options:

• Aversion -  a feeling of strong dislike or of not wishing to do something
• Preference - the fact that you like something or someone more than another thing
• Attraction - a feeling of liking someone
• Empathy- the capacity to understand or feel what another person is experiencing

Out of the given words, we can see that the word aversion is completely opposite to the meaning of the word affinity.

In fact, the other options are synonyms of the given word.

Hence, option 1 is correct.

The correct answer is: Option 3 i.e. reflective.

Key Points

• The word "pensive" means engaged in, involving, or reflecting deep or serious thought. (विचारमग्न)
• Example: She sat by the window in a pensive mood, thinking about her future.
• "Reflective" refers to someone who is given to or marked by deep thought; thoughtful. (चिंतनशील)
• Example: After the meeting, he became reflective, pondering over the decisions he had made.
• Hence, we can infer that the synonym of 'pensive' is 'reflective'.

Therefore, the correct answer is: Option 3 i.e. reflective.

Additional Information

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

• Tragic (दुखद): Causing or characterized by extreme distress or sorrow.
• Example: The tragic news of the accident left everyone in shock.
• Spontaneous (स्वतःस्फूर्त): Performed or occurring as a result of a sudden inner impulse without premeditation.
• Example: His spontaneous laughter was infectious and made everyone around him laugh too.
• Spiteful (द्वेषपूर्ण): Showing or caused by malice; hateful.
• Example: She made a spiteful remark to hurt his feelings intentionally.

The word accept means to say yes or to agree to take something.

Out of the given options, only reject is completely opposite in meaning to the given word as it means to refuse to accept, use, or believe something or someone.

Hence, option 3 is correct.

The word misconception means a belief or an idea that is not based on correct information, or that is not understood by people. When used in this context, it is a countable noun.

• For example: There are several common misconceptions about the theory of relativity. 
  

Note that the word is in its plural form above. Hence, the given sentence and option 2 cannot be correct.

Since it is a countable noun, we cannot use words such as so much to quantify the word. 

The only option that accurately represents the correct usage of the word misconception is option 1.

Hence, option 1 is correct.

The construction no sooner...than is used to represent a situation in which the second event occurs immediately after the first.

For example: No sooner had the teacher left the classroom than the children started to scream.

The use of when in the given sentence is, therefore, incorrect.

Hence, the error is in the part of the sentence in option 1.

Out of the given options, tasty and delicious are commonly known words that mean pleasant to the taste.

Here are the meanings of the other two options:

• Edible - fit to be eaten
• Unpalatable - unpleasant to taste or eat

Out of these, edible clearly fits the meaning of the words provided**.** 

For example: He might not be a great cook, but at least his food is edible.

Hence, option 1 is correct.

The construction as well as is used to conjoin two expressions, but it cannot be used in the way that we use and. It is used to add an expression with the first one but not to combine them together.

For example, we say: 'My mother and father are coming to the party'. (The subject becomes plural)

But when we use as well as we say: 'My mother, as well as my father, is coming to the party.'  (The subject my mother remains singular)

Therefore, in the given sentence, it is inaccurate to use the plural verb form are since the subject of the verb is the captain i.e. singular.

Hence, the error is in the part of the sentence in option 1.

Here are the meanings of all the given options:

• Incomprehensible -  impossible to understand or comprehend
• Infallible - never wrong, failing, or making a mistake
• Illegible - not clear enough to be read
• Inexplicable -  incapable of being explained or interpreted

Out of the given words, we can see that only the word incomprehensible fits the meaning of the given words.

Hence, option 1 is correct.

The first sentence of the passage introduces the theme or topic of the passage and stands independently in meaning. This is only true for sentence B. The other sentences all either elaborate on another topic or refer to concepts not mentioned within them.

Hence, sentence B is the first sentence.

The next sentence will be D since it offers an example (Puducherry) as well as direct a point of contrast (There is a place though) from the idea discussed in B. 

The next sentence will be A. It directly expands on the topic of Puducherry that was first mentioned in the previous sentence.

The last sentence should be C since it elaborates on the theme of conflict of coexistence introduced in sentence B.

Therefore, the correct order of sentences is BDAC.

Hence, option 2 is correct.

The correct answer is Ring the bell every forty minutes.

Here's why:

The given sentence is an imperative sentence in the passive voice. A sentence that expresses a wish, command or request is called an imperative sentence.

In order to change an imperative sentence from passive to active voice, we must:

• Drop the word let.
• Use the present form (ring) of the word in an active instead of the past participle (rung) in passive.
• Drop the word be'

Only the sentence in option 1 follows these rules.

Hence, option 1 is correct.

The correct answer is Option (1) i.e. "addictive".

Key Points 

• Here are the meanings of all the given options:
• Addictive-  an activity or substance likely to get someone unhealthily attached or obsessed with it(ऐसी गतिविधि या पदार्थ जिसके प्रति किसी का अस्वस्थ रूप से जुड़ाव या जुनून होने की संभावना हो)
• Contagious - (of a disease) spread from one person or organism to another((किसी बीमारी का) एक व्यक्ति या जीव से दूसरे व्यक्ति में फैलना)
• Infatuated - having a very strong but not usually lasting feeling of love or attraction towards someone(किसी के प्रति प्यार या आकर्षण की बहुत मजबूत लेकिन आमतौर पर स्थायी नहीं होने वाली भावना होना)
• Incorrigible - incapable of being corrected or amended(सुधार या संशोधन करने में असमर्थ)

In the context of the sentence, technology is described as something that people seem likely to get irrationally attached to. Hence, of all the given options, it can best be described as addictive.

Therefore, option 1 is correct.

From the context of the sentence, we see that the word in the blank needs to be combined with the preposition over to convey a meaning of longingly thinking about past experiences.

The words remember and remind can't be combined with over to convey this meaning.

The word retribute means to pay back or give in return and hence is contextually wrong.

The word reminisces, however, can be combined with the preposition over to mean indulge in enjoyable recollections of past events.

1. Retribute - प्रतिकार करना
2. Reminisce - याद करना
3. Remind - याद दिलाना
4. Remember - याद रखना

Hence, option 2 is correct.