SSC CGL Previous Paper (Held On: 10 August 2017 Shift 1) (Previous Year Paper)

216 = 6³, 125 = 5³; and 343 = 7³ are perfect cube whereas 510 is not. 

Hence, 510 is an odd number from the given alternatives.

K + 1 = L; L + 1 = M; M + 1 = N

V – 1 = U; U – 1 = T; T – 1 = S

Therefore, the next term is NS.

I. Some moon are stars → True

II. No blue is stars → True

III. Some white are stars → True

IV. Some blue are white → False

Hence, Only conclusion (I), (II), and (III) follow.

Clearly, fig.4 will complete the pattern when placed in the blank space of question figure as shown below:

Option figure 4 will complete the question figure as shown in above diagram.

Cylinder is a three dimensional figure. Other three figures are two dimensional.

Hence, Cylinder is the correct answer.

In JQXE : LSZG

J + 2 = L

Q + 2 = S

X + 2 = Z

E + 2 = G

Similarly,

M + 2 = O

T + 2 = V

N + 2 = P

L + 2 = N

Therefore, the correct answer is OVPN.

The dictionary order would be:-

5. Deviate 

6. Dormont

7. Draculla

8. Dragon

9. Drapery

Hence, "53214" is the sequence in which they occur in the dictionary.

3 + 17 + 11 + 4 = 35

2 + 16 + 10 + 7 = 35

6 + 13 + 15 + 1 = 35

Therefore, 1 is correct answer

The word ‘Spectrum’ cannot be formed using the letters of the word ‘Superconductors’ because the letter ‘m’ is missing in the given word.

Summing up the alphabetical positions of the letters of the word,

PEN – TAN → (16 + 5 + 14) – (20 + 1 + 14) = 0

DEN – COB → (4 + 5 + 14) – (3 + 15 + 2) = 3

Hence, "3" is correct answer.

The four adjacent sides to face containing ‘5’ are ‘3’, ‘6’, ‘4’ and ‘2’. Therefore the opposite side to ‘5’ should be faced containing ‘1’.

Trick:

How to easily find the opposite faces:

Choose any 2 dices which have only one number in common.

As in, I and II only 5 is common.

Now move clockwise as per the dice.

In I, 5 - 3 - 6 

In II, 5 - 2 - 4

So, we can observe that 3 is opposite to 2 and 6 is opposite to 4. 

Now only 5 is left, which will be opposite to 1.

When we open the punched folded paper then it will appear as it is shown in the below figure.

Hence, “Image of option 2)” shows correct answer.

59 – 7 = 52

3 – 92 = -89

76 – 9 = 67

Hence, 67 is the correct answer.

Therefore above image represent mirror image of given question figure.

Therefore, option 4) is the correct answer.

Canada’s capital is Ottawa. Similarly, Egypt’s capital is Cairo.

Hence, only 7 open flats are rough.

Let present ages of Anil and Akash be 4x and 5x.

Their ages 3 years later will be (4x + 3) and (5x + 3) respectively.

Given, (4x + 3) / (5x + 3) = 7 / 8

⇒ 32x + 24 = 35x + 21

⇒ x = 1

Therefore, present ages of Anil is 4 years.

Trick:

According to the question,

        4 : 5

  (+3)↓   ↓(+3)   (This ratio changes by 3 after 3 years)

        7 : 8 

In implies,

3 values = 3 years

so, 1 values = 1 year

So, Anil's age (at present) = 4 × 1 = 4 years

Aakash's age = 5 × 1 = 5 years

Hence, after 3 years, their ages will be 7 and 8 years respectively.

There are total of 15 triangles in the given figure.

The pattern follows here is-

3 _ _ 4 _ _ 6 _ _ 9 _ _ 13 _ _ 18 (+1, +2, +3, +4, +5 and so on)

_ 4 _ _ 9 _ _ 16 _ _ 25 _ _ 36 _ _ 49 (2², 3², 4², 5², 6² and so on)

_ _ 5 _ _ 10 _ _ 15 _ _ 20 _ _ 25 (5 × 1, × 2, × 3, × 4, × 5 and so on)

Therefore, the next term should be 25.

In 7 : 48

→ 7 : (7² – 1)

So,

11 : (11² – 1)

→ 11: 120

Karan's sister's birthday is before 20th August but after 17th August. 

Birthday can be on 18th or 19th. birthday is not after 18th August.

Hence, the birthday is on 18th August.

Trick:

Not after 18 means, on 18 or before 18.

Before 20 and after 17 means, on 18 or 19.

The only common date is 18.

Hence, the birthday is on 18th August.

1. 43, 23, 55, 56 → RALE

2. 33, 30, 67, 75 → SALE

3. 11, 42, 86, 98 → AALL

4. 20, 04, 79, 87 → PALE

Hence correct answer is option 4.

In option 1, 

Given equation: 16 + 19 × 21 – 5

After interchanging the signs: 16 - 19 / 21 + 5

= 16 - 0.90 + 5 = 20.1 ≠ 201

In option 2,

Given equation: 5 × 6 + 4 ÷ 3

After interchanging the signs: 5 / 6 - 4 × 3

= 0.83 - 12 = 11.67 ≠ 37/6

In option 3,

Given equation: 6 × 3 + 12 ÷ 3

After interchanging the signs: 6 / 3 - 12 × 3

= 2 - 36 = 34 ≠ 21

In option 4,

Given equation: 18 × 6 ÷ 8 – 12

After interchanging the signs: 18 / 6 × 8 + 12

= 24 + 12 = 36

Hence, '18 × 6 ÷ 8 – 12 = 36​' is the correct alternative.

S is a consonant. Other three letters are vowels.

The question figure is embedded in the following figure: 

Hence, question figure is embedded in option 2) figure.

• Akbar is known to be the most successful and the best Mughal Emperor who was illiterate.
• Some historians say that he had a physical disorder called dyslexia, in which a person is unable to learn to read and write.
• Most of the other Mughal Emperors were well educated. Akbar reigned from 1556 to 1605.

Certiorari is a Latin word which means “to be informed of, or to be made certain in regard to”

• Strait of Malacca is a narrow stretch of water which separates the Malay Peninsula and Indonesian Island of Sumatra.
• It was named after the Malacca Sultanate which ruled between 1400 and 1511 over a group of islands.

• The USA pulled out from the Trans-Pacific Partnership Agreement in Jan 2017.
• The agreement was signed in the year 2017 between 12 Pacific Rim countries.

• Thyroxin is not a plant hormone.
• It is a hormone produced in the human body secreted by the thyroid gland into the bloodstream.
• It is also known as T4 and is considered to be the most important thyroid hormones.

• Indian National Army, also known as Azad Hind Fauj came into existence on 21st October 1943 in Singapore.
• This organization was based on the concepts of Subhash Chandra Bose.
• Azad Hind Fauz was formed by Mohan Singh.
• Elected President and founding father of Azad Hind Fauj was Rash Behari Bose.

The correct answer is the President of India.

Key Points

• The office of the Governor is the highest office in the state.
• The Governor is also called the first person of the state.
• The Governor is appointed and removed by the President of India.
• Governor holds the office till the President of India.
• Condition for the office of the governor:
• He should be an Indian Citizen.
• He should be 35 years old or more.
• He should not hold any office of profit.
• He cannot be a member of parliament or state legislature.

Additional Information

Article Related to Governor:

• Article 152: Definition
• Article 153: Governors of states.
• Article 154: Executive Power of Governor.
• Article 155: Appointment of Governor
• Article 156: Term of office of Governor
• Article 157: Qualifications for that appointment of Governor
• Article 158: Conditions of Governor's office.
• Article 159: Oath or Affirmation by Governor
• Article 160: Discharge Of the functions of the Governor in Contingencies
• Article 161: Power of Governor to grant pardon, etc.
• Article 162: Extent of Executive Power of State.

• The Balance of Payment also called a balance of International payments, is a record that consists of all the economic transactions of a country between its residents and of the world for over a year.
• The official reserves account does not come under it since it is a subdivision of the capital account.

• Prime Minister Narendra Modi Launched Saur Sujala Yojana at Naya Raipur in Chhattisgarh.
• It is aimed for providing solar power irrigation pumps at subsidized prices to the farmers.
• Chhattisgarh is the first state to implement this scheme in India.

• Yasser Usman is the author of the book “Rekha:
• The untold story”. He is a film commentator and a television journalist and has won the prestigious Ramnath Goenka Award for Excellence in Journalism in the category of Film & Television.

• Nandalal Bose is one amongst the pioneers of Indian modern art and also a key figure of Contextual Modernism.
• He is popularly known for his Indian style of painting.

• Anions are negatively charged ions which are formed when a non metal gains electrons.
• While cations are positively charged ions which are formed when a metal loses electrons.

• The speed of light is maximum in a vacuum.
• The speed of light in a vacuum is 186,282 miles per second, which is 299,792 km per second.
• As per the theory, nothing travels faster than light.

• Acid rain is caused because of a chemical reaction that occurs when compounds like nitrogen oxide and sulphur dioxide are released into the air.
• These substances rise up high in the atmosphere and get mixed with oxygen, water and other chemicals and react with them to form acidic pollutants and cause acid rain.

• Globalization is the process of integration and interaction amongst people, government and companies of different nations.
• Privatization means the transfer of a business, industry, or service from the public to private ownership and control.
• Liberalization is the process of removing or reducing restrictions on International trade.

• Sir Tim Berners Lee is an English computer scientist who invented the World Wide Web in the year 1989.
• World Wide Web is an information space where web resources and documents are identified by the URLs (Uniform Resource Locators) and can be accessed through the Internet.

Concept:

Human Excretory system:

• The system of the organ which is used to remove the waste product out from the body is called the human excretory system.
• The major waste product generated in the human body is urea, along with which some other toxins are also generated.
• Urea is eliminated by kidneys by the process of urination and solid wastes are removed from the body by the intestines.

Excretory system organs:

Kidney s:

• It is a bean shaped organ. Its function is to clean blood and eliminate the waste from the blood in form of urine
• It is present in the abdomen, just below the diaphragm, and is protected by ribs.
• Each kidney weighs 120g to 170 g and 10-12 cm long and 5-7 cm wide and is the size of a fist.
• Kidneys are made up of subunits called Nephron

Ureters: 

• ​Each kidney is connected to the rinal pelvis by a thin muscular tube, this tube is called as Ureter.
• Its function is to propel urine from the kidney to the urinary Bladder from time to time.

Bladders:

• It's the organ that controls the passage of urine, it is a muscular sac-like structure.
• The average capacity of the bladder is 400-600 ml.
• It holds urine until its capacity expels, or till it gets full.

Urethra: 

• The Urethra is a tube made up of fibro muscular tissue that arises from the lower opening of the bladder, and open to the external uretral orifice.
• It helps to expel urine through the body, in the male it is also the tube that consist of the sperms.

Explanation:

• In kidneys, the Nephron is the functional unit, each kidney has as many as 1 million nephrons in each human kidney.
• The basic functions of the nephron are to carry out secretion as well as the process of excretion and also called as filtration unit of the human excretory system.
• Each nephron is made up of a Malpighian body.
• Nephrons are of two types which are Cortical Nephrons and Juxtamedullary Nephrons.
• So, the Nephron is the part that is also called as filtration unit of the Excretory unit.

• Om Puri was the recipient of the 2017 Asian Award for the outstanding achievement in Cinema.
• The 7th Asian Awards was hosted in May 2017 at the London Hilton on Park Lane.
• Note: Shri Devi was the recipient of the 2018 Asian Award for the outstanding achievement in Cinema.

• An IP address is a 32-bit number which identifies each receiver or sender of the information which is sent across the Internet in packets.
• It is assigned to each device which is connected to a computer network which makes use of Internet protocol for communication.

• Ampere is the SI unit of electric current.
• Electric current is always measured with a device called ammeter.
• The electric charges that flow across a surface at a rate of 1 coulomb per second equal 1 ampere.
• It is denoted by a formula, Q=It, where Q is the charge, I is steady current flowing at time t.

The correct answer is Vitamin D.

Key Points

• Vitamin D is obtained from sun rays. When bare human skin is exposed in the sun it takes Vitamin D from the sun.
• Ultraviolet B (UVB) is the part of sun rays which is important to humans.
• Beriberi refers to a cluster of symptoms caused primarily by a nutritional deficit in vitamin B.

Extra information:

• Chemical names for different vitamins are as follows:​

• The latitude that passes through Sikkim also passes through Rajasthan.
• A latitude of 27-degree passes through both Gangtok in Sikkim and Alwar in Rajasthan.

• B. Sai Praneeth is a male Indian Badminton player who is currently getting trained at the Gopichand Badminton Academy in Hyderabad.
• He is the winner of BWF Superseries held in 2017.

• Sri Lanka is famous for its Dambulla Cave Temple, which is the largest temple complex in Sri Lanka.
• Its paintings and statues date back to 12th century AD. The temple comprises of 5 rooms of different sizes, each having Buddha sitting in different positions.
• Padmanabhaswamy Temple -Thiruvananthapuram, Kerala, India.

• Oxidation is the process when any ion, molecule or atom loses electrons during a chemical reaction.
• It occurs when there is an increase in the oxidation state of an atom, molecule or ion.
• The opposite process of oxidation is known as reduction which occurs when there is gain of electrons by an atom, molecule or ion, or when there is a decrease in the oxidation state.

If a number is both a perfect square and a perfect cube.

Then, it has to be some number to the power of (2 × 3) = 6

⇒ 2000 < a⁶ < 7000

⇒ a = 4 satisfies the above equation

⇒ required number = 4⁶ = 4096

∴ the correct option is 2)

Given: (x/y)^{a - 4} = (y/x)^{2a - 5}

⇒ (x/y)^{a - 4} = (x/y)^{-(2a - 5)}

(x)a - 4 + 2a - 5 = (y)^{2a - 5 + a - 4}

(x)3a - 9 = (y)3a - 9

Thus from the above equation we can derive 

x = y

∴ The correct option is 4

Given: average runs scored by 7 players = 53

⇒ Total runs scored by players = 53 × 7 = 371

⇒ Sum of runs scored by 6 players = 121 + 40 + 26 + 56 + 37 + 48 = 328

⇒ Runs scored by 7^th player = 371 – 328 = 43

∴ the correct option is 3)

Cost price of bicycle = Rs. 2700

Repair cost = Rs. 500

New cost price for Mohit = 2700 + 500 = Rs. 3200

Selling price of bicycle = Rs. 3520

Profit = SP – CP = 3520 – 3200 = Rs. 320

Profit % = (320/3200) × 100 = 10%

∴ the correct option is 10%.

Given:

(cosA + sinA)(cotA + tanA)

Formula Used:

Sin²θ + cos²θ = 1

Calculation:

We have 

$(cosA + sinA)(\frac{cosA} {sinA} +\frac{sinA} {cosA)})$

$⇒ (cosA + sinA)(\frac{cos^2A \ + \ sin^2A} {sinA.cosA})$

$⇒ (cosA + sinA)(\frac{1} {sinA.cosA})$

$⇒ \frac{1}{sinA} + \frac{1}{cosA}$

⇒ cosecA + secA

∴ The simplified value of (cosA + sinA)(cotA + tanA) is cosecA + secA.

Given: Principal = Rs. 720

Amount after 3/2 years = Rs. 882

We know that,

A = P + (P × R × T)/100

⇒ 882 = 720 + (720 × R × 3/2)/100

⇒ 16200 = 720 × R × 3/2

⇒ R = 16200/(720 × 1.5)

⇒ R = 15%

New Principal = Rs. 800, new Amount = Rs. 1040

⇒ 1040 = 800 + (800 × 15 × t)/100

⇒ 24000 = 800 × 15 × t

⇒ t = 2 years

∴ the correct option is 4)

Given,

If 2 cosθ = 2 - sinθ

⇒ 2 (cosθ - 1) = -sinθ

Squaring both sides

⇒ 4 (cosθ – 1)² = sin²θ

⇒ 4 (cosθ – 1)² = 1 - cos²θ

⇒ 4 cos²θ + 4 - 8 cosθ = 1 - cos²θ

⇒ 5 cos²θ - 8 cosθ + 3 = 0

⇒ 5 cos²θ - 5 cosθ - 3 cosθ + 3 = 0

⇒ 5 cosθ (cosθ – 1) - 3(cosθ – 1) = 0

⇒ (5 cosθ – 3) (cosθ – 1) = 0

⇒ cosθ = 3/5, 1

Given: total trade for Year 1 = 5700 crore dollars

Then, total trade for Year 5 = 5700/2 = 2850 crore dollars

Let the export and import of country in year 1 be 10a and 9a respectively

And let the export and import of country in year 5 be 12b and 13b respectively

⇒ 10a + 9a = 5700

⇒ 19a = 5700

⇒ a = 300

Also,

⇒ 12b + 13b = 25b = 2850

⇒ b = 2850/25

⇒ b = 114

So, export of year 1 = 10a = 300 × 10 = 3000 crore dollars

And, export of year 5 = 12b = 114 × 12 = 1368 crore dollars

Required difference = 3000 – 1368 = 1632

∴ the correct option is 2)

Let’s take a = x + (x² - 1)^1/2 and b = x - (x² - 1)^1/2

So, above equation simplifies to: a/b + b/a = 194

⇒ (a² + b²)/ab = 194

Here, ab = x² - (x² - 1) = 1

So, a² + b² = 194

⇒ x² + x² - 1 + 2x (x² - 1)^1/2 + x² + x² - 1 - 2x(x² - 1)^1/2 = 194

⇒ 4x² - 2 = 194

⇒ 4x² = 196

⇒ x = 7, -7

∴ the correct option is 3)

Here, ΔPRM and ΔMRN are isosceles triangles

Also, in ΔRPN

⇒ ∠RPM + ∠RNP = 102°         ….(i)     [EXTERIOR ANGLE PROPERTY]

⇒ ∠MRN = ∠MNR

⇒ ∠MRN + ∠MNR = ∠RMP     …(ii)       [EXTERIOR ANGLE PROPERTY

⇒ 2∠RNP = ∠RMP = ∠RPM

By (i) and (ii), we get

⇒ 3/2(∠RPM) = 102°

⇒ ∠RPM = 68°

∴ the correct option is 2) 

Alternate Method

Let  ∠RNP = x and  ∠RPN = y.

Now 102° = x + y.....(i)     [EXTERIOR ANGLE PROPERTY]

In triangle RNM,

2x = y …(ii)       [EXTERIOR ANGLE PROPERTY

Now add both

3x = 102

x = 34.

We need to find ∠MPR = y = 2x = 2 × 34 = 68°

Given: 3a - (3/a) - 3 = 0

Taking 3 in common, we get

⇒ 3[a - (1/a) - 1] = 0

⇒ a - (1/a) = 1

We know that,

⇒ (a - 1/a)³ = a³ - 1/a³ - 3 × a ×1/a(a - 1/a)

⇒ (a - 1/a) = 1

Cubing both the side.

⇒ (a - 1/a)³ = 1

⇒ a3 - 1/a3 - 3 × a ×1/a = 1

⇒ a³ - 1/a³ = 4      ----(1)

Putting the value of eq. (1) in a3 – (1/a3) + 2, we get

⇒ a3 – (1/a3) + 2 = 4 + 2 = 6

∴ the correct option is 4)

Let the marked price (M.P.) of the article be a

⇒ Price after first discount = a – (20/100)a = 0.8a

⇒ Price after second discount = 0.8a – (12/100)0.8a = 0.704a

⇒ since, the selling price = 0.704a = Rs. 16896

⇒ a = 16896/0.704 = Rs.24000

∴ the correct option is 4)

Let the distance to be covered be y km and the ratio of the speed of the 3 racers = 3z : 4z : 6z

⇒ Time taken = distance covered/speed

⇒ Time taken by 1^st racer = y/(3z)

⇒ Time taken by 2^nd racer = y/(4z)

⇒ Time taken by 3^rd racer = y/(6z)

Ratio of the 3 times periods = y/(3z) : y/(4z) : y/(6z)

⇒ 1/3 : 1/4 : 1/6 = 4/12 : 3/12 : 2/12

⇒ 4 : 3 : 2

Given: In ΔABC,

⇒ ∠BAC + ∠BCA + ∠ABC = 180°

⇒ ∠ABC = 180° – 75° - 80°

⇒ ∠ABC = 25°

Since O is the circumcentre

⇒ 2 × ∠ABC = ∠AOC

⇒ ∠AOC = 50°

In ΔAOC, AO = OC (radius of circle)

Hence, ΔAOC is an isosceles Δ

⇒ ∠OAC + ∠ACO + ∠AOC = 180°

⇒ ∠OAC + ∠ACO = 180° – 50°

⇒ 2 × ∠OAC = 130°

⇒ ∠OAC = 65°

∴ the correct option is 2)

To find: the value of (x⁴ + 5x³ + 3x² + 5x + 1)/(x⁴ + 1)

⇒ (x + 1/x) = 3

⇒ (x + 1/x)² = 3²

⇒ x² + 1/x² = 3² - 2

⇒ x² + 1/x² = 7

Now, (x⁴ + 5x³ + 3x² + 5x + 1)/(x⁴ + 1)

⇒ {(x4 + 1)/(x4 + 1)} + {(5x3 + 3x2 + 5x + 1)/(x4 + 1)}

⇒ 1 + {(5x³ + 3x² + 5x)/(x⁴ + 1)}

Taking x² common from both numerator and denominator

⇒ 1 +{ x²(5x + 3 + 5/x)/x²(x² + 1/x²)}

⇒ 1 + {(5x + 3 + 5/x)/(x² + 1/x²)}

⇒ 1 + {[5(x + 1/x) + 3]/(x² + 1/x²)}

⇒ 1 + {[5 × 3 + 3]/7}

⇒ 1 + {18/7}

⇒ 25/7

∴ the correct option is 1)

Given:

3 men or 4 women can complete a job in 120 days.

Formula used:

W = E × T     Where, W = Work, E = Efficiency, and T = Time

Calculation:

Given: 3 men or 4 women complete a work in 120 days

Time is taken by 12 men to complete the work = (120/12) × 3

⇒ 30 days

Time is taken by 16 women to complete the work = (120/16) × 4

⇒ 30 days

Time is taken by 12 men and 16 women to complete the work = 1/[(1/30) + (1/30)]

Time is taken by 12 men and 16 women to complete the work = 15 days

∴ 12 men and 16 women will complete the same job in 15 days.

Given:

Speed of train = 120% of the speed of the car.

Distance = 180 km

Stoppage time = 30 min

Concept:

Speed = Distance / Time

Calculation:

Let the speed of the car be a km/hr

⇒ Speed of the train = a + (20/100)a = 1.2a km/hr

⇒ Total distance covered by both = 180 km

⇒ Time taken by train = 180 km/1.2a = 150/a hr

⇒ Time taken by car = 180/a hr

Given: both take equal amount of time when train has 1/2 hr of stoppage time

⇒ 150/a + 1/2 = 180/a

⇒ 30/a = ½

⇒ a = 60 km/hr

Hence, speed of train = 1.2a = 72 km/hr

∴ the correct option is 3)

Let the household consumed a kgs of onion earlier and b kgs of onion later.

⇒ The price paid by the household earlier = Rs. 24a

⇒ The price paid by the household now = Rs. 36b

Since both the prices should be same

⇒ 24a = 36b

⇒ b = 2a/3

So, required percentage = [(a – 2a/3)/a] × 100

⇒ 33.33%

∴ the correct option is 2)

Given: AD = (1/2)BC and ∠ACD = 40°

In ΔABC,

Since, AD is the median 

∴ BD = CD 

and AD = (1/2) BC = BD 

∴  AD = BD = CD

Let ∠ABD = a and ∠ACD = b

Now, ΔABD and ΔADC are both isosceles Δ

⇒ ∠ABD = ∠DAB = a and ∠ACD = ∠CAD = b

In Δ ABC

⇒ ∠ABC + ∠ACB + ∠CAB = 180° 

⇒ a + b + b + a = 180° 

⇒ 2a + 2b = 180° (sum of angles in a triangle = 180°)

⇒ a + b = 90°

⇒ a = 90° – 40° = 50°

Hence, ∠DAB = a = 50°

∴ the correct option is 3)

Given:

Diameter of a hemisphere = 21cm.

∴ Radius (r) of hemisphere = 21 / 2 = 10.5 cm.

Concept used:

Volume of a hemisphere is given by:

V = (2 / 3) × π × r3.

Calculations:

⇒ Volume of a hemisphere = (2/3)πr³

⇒ Volume of a hemisphere = (2/3)π(21/2)³

⇒ Volume of a hemisphere = 771.75π

⇒ Volume of a hemisphere = 2425.5

Let ABCD be the given rhombus and AC be the bigger diagonal.

So, AB = BD = 4 cm

So, ΔABD is an equilateral triangle

⇒ Ar (ΔABD) = √3 (side)²/4

⇒ Ar (ΔABD) = 4√3

Now, Ar (rhombus ABCD) = 2 [Ar (ΔABD)]

⇒ Ar (rhombus ABCD) = 8√3

Also, Ar (rhombus ABCD) = ( 1/2) × AC ×BD

⇒ (1/2) × AC × BD = 8√3

⇒ AC = (8√3 × 2)/4 = 4√3

Now, AC is the side of new equilateral Δ

⇒ Area of new triangle = [√3 × (4√3)²]/4

⇒ Required area = 12√3 cm²

∴ the correct option is 4)

Given: $\sqrt {\frac{{cosec;A}}{{cosec;A - 1}} + \frac{{cosec;A}}{{cosec;A + 1}}?}$

Substituting cosecA = 1/sinA

⇒ √{[(1/sinA) / (1/sinA – 1)] + [1/sinA/ (1/sinA + 1)]}

⇒ √{[1/(1 – sinA)] + [1/(1 + sinA)]}

⇒ √{[1 + sinA + 1 – sinA]/[1 – sin²A]}

⇒ √{[2/[1 – sin²A]}

⇒ √{[2/cos²A}

⇒ √{[2sec²A}

⇒ √(2) secA

∴ the correct option is 1)

Let the export of country in year 3 be 4a

Then the import will be 3a

Given: the total trade of the country in year 3 = 1183 crore dollars

⇒ 4a + 3a = 1183

⇒ 7a = 1183

⇒ a = 169

Required difference = 4a – 3a = 169

∴ the correct option is 1)

Given: total trade for Year 2 and Year 4 is same

Let the export and import of country in year 2 be 11a and 7a respectively

And let the export and import of country in year 4 be 5b and 8b respectively

⇒ 11a + 7a = 5b + 8b

⇒ 18a = 13b

⇒ a = 13b/18

Since, exports of year 4 = 5b = 315 crore dollars

⇒ b = 63

⇒ a = 13b/18 = 13 × 63/18 = 45.5

Hence, the imports (in crore dollars) of Year 2 = 7a = 7 × 45.5 = 318.5

∴ the correct option is 4)

For year 1:

⇒ Export = (10/19) × (3800) = 2000 crore dollars

⇒ Import = 3800 – 2000 = 1800 crore dollars

For year 2:

⇒ Export = (11/18) × (3600) = 2200 crore dollars

⇒ Import = 3600 – 2200 = 1400 crore dollars

For year 3:

⇒ Export = (4/7) × (2800) = 1600 crore dollars

⇒ Import = 2800 – 1600 = 1200 crore dollars

For year 4:

⇒ Export = (5/13) × (3900) = 1500 crore dollars

⇒ Import = 3900 – 1500 = 2400 crore dollars

For year 5:

⇒ Export = (12/25) × (5000) = 2400 crore dollars

⇒ Import = 5000 – 2400 = 2600 crore dollars

Average export = (2000 + 2200 + 1600 + 1500 + 2400)/5 = 1940 crore dollars

Average import = (1800 + 1400 + 1200 + 2400 + 2600)/5 = 1880 crore dollars

Required difference = 1940 – 1880 = 60 crore dollars

Correct Answer: 3

The sentence uses ‘prefer’ incorrectly by using ‘than’, instead of ‘to’, as preferences are ranked generally. Therefore, the correct sentence would be: ‘On Sundays I prefer reading to going out visiting my friends’.

Correct Answer: immanent 

‘Immanent’ means ‘pervasive and sustaining the universe’. This word is an appropriate fit to the blank as the other words do not carry a suitable meaning to complete the sentence.

The correct answer is 2

Key Points

• Adjectives that end in 'ior' are followed by 'to' and not 'than'.
• All such words are: Superior, inferior, senior, junior, prior, anterior, posterior.
• Example: He is senior to me.
• Thus, the correct sentence is: Rohit is two- year junior to Mukesh in the office.

Correct Answer: PRQS

The first sentence of a passage should begin with the characteristic features if a character is being introduced. Sentence P is composed of the facial and physical appearance of the character and therefore, must come first. Hence, PRQS is the correct choice out of the 4.

The correct answer is Climb

Key Points

• Ascend means ‘to go up or climb something’.
  

Example: They slowly ascended the steep path up the mountain.

• Therefore, it is quite evident that ‘climb’ is the correct answer for the given question.

Additional Information

• Meaning of other words given in the options are: 
• ‘Lay’ means ‘to lie'.
• ‘Weaken’ means ‘to drain someone’
• ‘Void’ means ‘an empty space’.
• The other words are nowhere close to the meaning of ‘ascend’ and thus are disregarded.

The correct answer is: Option 1 i.e. Sanctify.

Key Points

• The word "Desecrate" means to treat (a sacred place or thing) with violent disrespect; violate. (अपवित्र करना)
• Example: The vandals desecrated the church by spray-painting graffiti on its walls.
• "Sanctify" means to make holy or set apart as sacred; to consecrate. (पवित्र करना)
• Example: The priest sanctified the water, making it holy for the baptism ceremony.
• Hence, we can infer that the opposite of 'Desecrate' is 'Sanctify'.

Therefore, the correct answer is: Option 1 i.e. Sanctify.

Additional Information

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

• Profane (अपवित्र): Showing disrespect for something sacred.
• Example: His profane language offended the religious congregation.
• Befoul (गंदा करना): To make dirty or impure.
• Example: The factory's waste befouled the river, making it unsafe for swimming.
• Defile (अपवित्र करना): To spoil the purity or cleanliness of something.
• Example: The graffiti on the ancient monument defiled its historical significance.

The correct answer is 'RSPQ'.

Key Points

• We start with sentence 'R' as it provides an introduction to the materialistic culture and the practice of constantly selling new products, establishing the context.
• Sentence 'S' then follows this naturally as it details how consumers are drawn in and lured into the system of credits and loans, building upon the information given in 'R'.
• 'P' is the next logical choice, explaining the consequences of extending credit to the limit and the eventual outcome.
• 'Q' finally gives a concluding remark about the situation, fitting as an ending to the paragraph.

Therefore, the correct order is 'Option 2'.

Additional Information

• 'PRQS': Here, starting with 'P' does not provide a proper background or setting for the actions described in the subsequent sentences.
• 'QSPR': Leading with 'Q' is incongruous, as its context relies on understanding the earlier actions and their consequences.
• 'RPQS': The sequence here almost works, but having 'Q' before 'S' does not match the logical flow of events as 'Q' is more of a concluding remark.

The correct answer is Bulettin

Key Points

• ‘Bulettin’ is incorrectly spelled. The correct spelling of the word is: ‘Bulletin’, meaning ‘a short news programme on television or radio, often about something that has just happened, or a short newspaper printed by an organization’
  

Example: The company publishes a weekly bulletin for its employees.

• Barrage: a concentrated artillery bombardment over a wide area.
  

Example: H**is forces launched an artillery barrage on the city.

• Buoyant: If you are in a buoyant mood, you feel cheerful and behave in a lively way.
  

Example: She was in a buoyant mood and they were looking forward to their new life.

• Beginner: A beginner is someone who has just started learning to do something and cannot do it very well yet.
  

Example: The course is suitable for beginners and advanced students.

Correct Answer: He said that he had seen a snake there.

The sentence is in simple past recognised by "I saw" , (sub+ 2nd form of verb), which will be changed to past perfect tense and first person changes to third person . Hence option number 1 is correct as option 4 does not include the word 'there'

Correct Answer: identified

‘identified’ is used to establish what something is. Here, morality is established with ethics by using the word ‘identified’.

Correct Answer: right

The passage says that although politics is the idea of being practical and convenient, it is not necessary for it to always be correct, i.e., right.

Correct Answer: Handkercheif

‘Handkercheif’ is incorrectly spelled. The correct spelling of the word is: ‘Handkerchief’. Note that this makes use of the ‘i before e except after c’ rule.

Correct Answer: To experience many dangers in order to achieve something

The phrase ‘go through fire and water’ means ‘to face any peril to get something’. An example sentence is: ‘The soldiers were ready to go through fire and water to gain victory for their motherland’.

The correct sentence is "either writes". 

Key Points

• ‘Either writes’ denotes that both of the pens write well.
• Since 'either' takes a singular verb, ‘writes’ is used.
• The present continuous tense is used to denote an action that is going on.
• Structure of present continuous tense - Subject + is/are + V₁ ing + Object.
• For Example - She is playing cricket.

Therefore, the correct sentence is There are two pens here and either writes well.

The correct answer is: Option 4 i.e. Solemn.

Key Points

• The word "Waggish" means playful or humorous. (चुलबुला या मजाकिया)
• Example: His waggish remarks always lighten the mood during meetings.
• "Solemn" refers to something that is serious, formal, and dignified. (गंभीर)
• Example: The atmosphere at the funeral was solemn and respectful.
• Hence, we can infer that the opposite of 'Waggish' is 'Solemn'.

Therefore, the correct answer is: Option 4 i.e. Solemn.

Additional Information

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

• Jocular (हंसी मजाक करनेवाला): Characterized by joking or jesting.
• Example: His jocular nature makes him the life of every party.
• Whimsical (मनमौजी): Playfully quaint or fanciful, especially in an appealing and amusing way.
• Example: The whimsical design of the garden enchanted all the visitors.
• Flippant (चंचल): Not showing a serious or respectful attitude.
• Example: His flippant response to serious questions annoyed the teacher.

Correct Answer: No improvement

No improvement is needed as ‘agree on’ means ‘to reach a decision or consensus’, which makes a meaningful sentence.

Correct Answer: immoral

The passage says that if an action is known to be wrong and is used as an expedient, then it is not immoral in nature.

The correct answer is: Option 2 i.e. Distinct.

Key Points

• The word "Articulate" means having or showing the ability to speak fluently and coherently. (स्पष्ट रूप से बोलना)
• Example: She is an articulate speaker who can convey her ideas clearly and effectively.
• "Distinct" refers to something that is clearly different or of a different kind. (अलग)
• Example: The two species are distinct from each other in several ways.

Therefore, the correct answer is: Distinct.

Additional Information

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

• Dominate (प्रभुत्व जमाना): To have control or power over a place or person.
• Example: His strong personality tends to dominate the conversation.
• Helpers (सहायकों): People who assist or aid others.
• Example: Volunteers and helpers are essential for the success of the event.
• Unsteady (अस्थिर): Not firmly or solidly positioned; liable to fall.
• Example: After the accident, he was left with an unsteady gait.

The correct answer is Option 2)

Explanation:

• Orophobia: fear of mountains
• Cynophobia: Phobia of dogs
• Vatrachophobia: relating to the fear of toads and frogs
• Phemophobia:  Fear of voice.

​Thus, the correct answer is Cynophobia

The correct answer is Gust

Key Points

• Gust means a sudden and strong rush of wind. Therefore, it is the best substitute for the given phrase.
• Implosion means something collapsing violently inwards.
• Trickle means flow slowly
• Mantle means an important role or responsibility.

Correct Answer: passed

‘Passing an exam’ means attending an exam and obtaining a pass result in it. Therefore, in the sentence, ‘passed’ fits appropriately as the other words do not add suitable meaning to the sentence.

Correct Answer: Something that is impossible to get or achieve.The meaning of the phrase ‘will-o-the wisp’ is ‘someone or something that keeps disappearing or is impossible to catch’. An example sentence is: ‘He was a will-o'-the-wisp, more of a concept than a man.’

Correct Answer: merely

The passage states that if something is known to be wrong and is only used a mere means of achieving a particular end, then it is not immoral. Here, ‘merely’ shows that the action is only expedient in nature and nothing else.

The correct answer is: The police arrested John on a charge of murder, but for lack of evidence released him.

Key Points

• The original sentence is in the passive voice: "John was arrested on a charge of murder, but for lack of evidence, he was released."
• Option 1 is the active voice alternative that maintains the original meaning: "The police arrested John on a charge of murder, but for lack of evidence released him."
• In this option, "the police" is the subject, "arrested" and "released" are the verbs, and "John" is the object. The original meaning is preserved, and the sentence structure is grammatically correct.
• This option best expresses the given sentence in the active voice. It conveys the same meaning as the original sentence, with the police as the subject performing the action of arresting John and subsequently releasing him due to a lack of evidence. The sentence structure follows the active voice format, making it the correct choice in this context.
• Option 2 is incorrect because it is still in the passive voice.
• Option 3 is incorrect because it contains a passive construction in the second half of the sentence ("he was released"). The goal is to convert the entire sentence into the active voice, which option 1 accomplishes.
• Option 4 is incorrect because it is also in the passive voice, and it changes the tense to past perfect ("had been arrested" and "had been released"), which is not consistent with the original sentence.

Correct Answer: notion

‘Notion’ means ‘a conception or belief about something’. The passage regards politics as the idea or belief of being convenient.