SSC CGL Previous Paper (Held On: 11 August 2017 Shift 2) (Previous Year Paper)

The pattern followed here is,

"TREASON" is written as,

Reverse order: RKWWINX

"POULTRY" is written as

Reverse order: CNXHYKT

Similarly,

"NUMBER" will be coded as,

Reverse order: NIXQQR

Clearly, “NUMBER” is written as “NIXQQR”.

According to Akshar = 26 April < x < 30 April

According to Suresh = 22 April < x < 28 April

Clearly, only one date between exist = 27 April.

Hence, match will be on 27 April.

A vertical mirror is placed, so the object at the left will appear at the right. The cirlce in the diagonal will appear at the left thus the first two options eliminated.

Also, the single circle at bottom left will appear at the top left so the third option is also not possible.

Hence, the correct answer is option 4.

Clearly, the correct sequence of word according to dictionary is

3. Tingling
4. Topper
5. Traction
6. Train
7. Tumbler

Hence, the correct sequence is 32514.

The pattern followed here,

1. 26 → 25 + 1 → 5² + 1

2. 50 → 49 + 1 → 7² + 1

3. 82 → 81 + 1 → 9² + 1

4. 120 → 121 - 1 → 11² - 1

Hence, 120 is odd one out.

1. 10, 04, 33, 57, 69 → STRMN

2. 41, 42, 14, 68, 86 → STRMN

3. 34, 23, 40, 88, 78 → STROK

4. 22, 11, 21, 75, 96 → STROM

Clearly, the set for word ‘STROM’ is ‘22, 11, 21, 75, 96’.

The pattern is followed that a × b - (a + b + 1).

13 # 9 = 94

→ 13 × 9 - (13 + 9 + 1)

117 - 23 = 94

18 # 7 = 100

→ 18 × 7 - (18 + 7 + 1)

126 - 26 = 100

Similarly;

24 # 6

→ 24 × 6 - (24 + 6 + 1)

144 - 31 = 113

Hence, 113 is the correct answer.

Clearly, Heart is an Organ; similarly, eyes are also an organ.

1. Anger → Passenger → can be formed.

2. Pass → Passenger → can be formed.

3. Page → Passenger → can be formed.

4. Pain → Passenger → cannot be formed as there is no letter ‘i’.

Hence, word ‘Pain’ cannot be formed.

Clearly, 19 black buttons are shirts

The pattern followed here is,

D + 2 = F, F + 2 = H, H + 2 = J

K + 3 = N, N + 3 = Q, Q + 3 = T

Clearly, ‘JT’ is the next term in the series.

Logic followed for ‘BPTW : CQUX’:

B + 1 = C, P + 1 = Q, T + 1 = U, W + 1 = X

Similarly;

C + 1 = D, H + 1 = I, N + 1 = O, S + 1 = T

Hence, DIOT is the correct answer.

Clearly, M, S and W are consonants, while E is a vowel.

Hence, E is the odd one out.

Clearly, 15 triangles are there in the given figure.

From dice 1 and 3 we conclude that B, D, C and F lie adjacent to A. Therefore, E must lie opposite A.

Hence, the answer is ‘A’.

The pattern followed here is,

→ 2 × 2 + 1 = 5

→ 5 × 3 + 2 = 17

→ 17 × 4 + 3 = 71

Similarly;

→ 71 × 5 + 4 = 359

Hence, the missing term is 359.

The question figure is embedded in the following figure;

Hence, the given question figure is embedded in option 4.

Solution:

The pattern followed here is,

7² - 1 = 48

8² - 1 = 63

9² - 1 = 80

Similarly;

10² - 1 = 99

Hence, 99 is the correct answer.

First table (from left):

In the first column, the number at the end is obtained by adding 12 in the first element.

2 + 12 = 14

In the second column, the number at the end is obtained by adding 4 in the first element.

5 + 4 = 9

Second table (from left):

7 + 12 = 19

10 + 4 = 14

Similarly;

Thrid table (from left):

8 + 12 = 20

11 + 4 = 15

Hence, 15 is the missing number in the table.

Let us draw the following digram;

Conclusions:

I. All sharpeners are erasers → follows.

II. Some books are sharpeners → follows.

Hence, both Conclusions follow.

Hence, the unfolded figure will be similar to option 3.

Total books = 15 + 5 + 11 + 2 = 33 books

Clearly, 33 books are in the row.

Hence, option 2 will complete the given question figure.

Given Expression: 30 ? 6 ? 4 ? 5 ? 4

1. -, =, x and +

→ 30 - 6 = 4 × 5 + 4

→ 24 = 24

2. +, =, × and -

→ 30 + 6 = 4 × 5 - 4

→ 36 ≠ 16

3. =, ×, + and -

→ 30 = 6 × 4 + 5 - 4

→ 30 ≠ 25

4. -, +, = and ×

→ 30 - 6 + 4 = 5 × 4

→ 28 ≠ 20

Clearly, ‘-, =, × and +’ will make the expression correct.

Clearly, Dates are written in Calendar, Notes are written in a Notebook, Entries are written in Accounts but Milk is a ‘dairy product’.

Hence, ‘Dairy : Milk’ is the odd one out.

• Sirocco is a Mediterranean wind that comes from the Sahara and can reach hurricane speeds in North Africa and Southern Europe, especially during the summer season.
• The Loo is a strong, dusty, hot and dry summer wind from the west which blows over the western Indo-Gangetic Plain region of North India and Pakistan.
• A Föhn or foehn is a type of dry, warm, down-slope wind that occurs in the lee (downwind side) of a mountain range.
• The mistral is a strong, cold, northwesterly wind that blows from southern France into the Gulf of Lion in the northern Mediterranean, with sustained winds often exceeding 66 km/h.

Melanin is generally a complex polymer derived from the amino acid tyrosine that is responsible for determining skin and hair color. It is seen in the skin to a certain degree, depending on how much a population has been exposed to the sun historically.

Cancer along with chronic lung diseases, diabetes, and cardiovascular diseases are few diseases that are non-communicable in nature. NCDs or non-communicable diseases are those conditions that are usually not passed on from one affected person to others but are caused as a direct result of lifestyle and environmental factors.

The Enter key is used in MS-Word is used to move to the next line whereas The Shift keys combine with other keys to help in different actions.

Potassium nitrate is used mainly in firecrackers manufacturing along with fertilizers, tree stump removal, and rocket propellants. The main reason is that it is the oxidizer in black powder, which is used in almost all fireworks.

• The main motive of the Third Five-year Plan was to stress agriculture and improvement in the production of wheat.
• It was made for the duration of 1961 to 1966.
• The main target of this plan was to make the economy independent and to reach self active position of take off.
• Due to china war, this plan could not achieve its growth target of 5.6%

• Electric Motor converts electrical energy into mechanical energy.

• It works because of electromagnetic induction, which is when a voltage is induced by a changing magnetic field.

• That would make the copper coil inside the motor turn around repeatedly inside its permanent magnet.

• Electric motor thus makes mechanical energy through the interaction between magnetic fields.

• Electric Generator converts Mechanical energy to Electrical energy.

Researchers believed that Shakespeare wrote his play Hamlet in early 1601 when Elizabeth I was still on the throne after more than 42 years. Researchers have found that this is the wrong date and that the Bard did not produce the finished version for another two years.

• Apurvi Singh Chandela is an Indian shooter who competes in the 10-meter air rifle event, was awarded the Arjuna awards 2016.
• Indian women's Hockey team captain Ritu Rani was awarded Arjuna Award in 2016 for Hockey.
• Ajinkya Rahane is the 49th Indian cricketer who has been awarded the prestigious Arjuna award in 2016.

The correct answer is Abul Fazal.

Key Points

• Abul Fazl who was one of the nine jewels in Akbar's court wrote the book Akbarnama.
• It was written in Persian, the literary language of the Mughals, and includes vivid and detailed descriptions of the life and times of the Mughal emperor Akbar.

Allotropes are generally elements which exist in two or more different forms in the same physical state and they also differ in physical properties and chemical activity. Diamond, graphite, and fullerenes are three allotropes of the element carbon. Steel, on the other hand, is an alloy of iron and carbon and other elements.

“Urja Ganga” gas pipeline project was inaugurated by Prime Minister Narendra Modi on October, 2016 in his constituency Varanasi, Uttar Pradesh. It is a 2540km long pipeline that is planned to be laid as it is supposed to provide piped cooking gas to the households of Varanasi within next two years and to other neighboring states after one more year.

Vinod Dham invented the Pentium Chip. He was popularly known as the “Father of the Pentium chip”, for his contribution to the development of highly successful Pentium processors from Intel.

The degree of longitude is approximately 69 miles or 111 kilometers apart at the equator. Degrees of latitude are parallel so the distance between each degree remains almost constant but since degrees of longitude are farthest apart at the equator and converge at the poles, their distance varies greatly.

Twelve of Rajya Sabha members can be nominated by the President. This is done from the persons who have earned the distinction in the fields of literature, art, science and social service.

The correct answer is Total Internal Reflection.

CONCEPT:

• Total Internal reflection: The total reflection of light from a higher refractive index medium to back in its medium at an angle more than a critical angle known as total internal reflection.

• It always happens when light travels from denser medium to rarer medium.

• Optical fibre: It is a very thin fibre made of glass and plastic having a radius of the order of a micrometre (10-6 m).

• It works on the principle of Total Internal Reflection.

• It is lightweight, fast, and useful for long-distance data and light transmission with very few losses.

• A bundle of such thin fibres forms a light pipe.

• Scattering of light: The phenomenon in which the particles in a colloid scatter the beams of light that are directed at them is called scattering of light.

• Refraction: When a ray of light passes from one medium to another it suffers a change in direction at the boundary of two media is called refraction.

• Reflection: The phenomena in which light ray is sent back into the same medium from which it is coming, on interaction with boundary, is called reflection.

EXPLANATION:

• Optical fibres work on the principle of Total Internal Reflection.
• Total Internal Reflection refers to the complete reflection of a ray of light within a given medium from the surrounding surface.

The Khalsa is the army of all initiated Sikhs represented by the five beloved-ones and can be called the Guru Panth and was initiated on 13 April 1699, by Guru Gobind Singh who was the tenth Sikh Guru. The word Khalsa generally means "pure”.

A football match is of 90 minutes and each half is divided into 45 minutes each excluding the injury times which are given after the end of the respective 45 minutes of both the halves.

Gumnam was directed by Raja Nawathe and was released in the year 1965.

U.S.A has co-sponsored 'Cobra Gold' – an annual multilateral military exercise along with Thailand. It was first held in 1982 and it served as a military training exercise to improve coordination between the armed forces of the United States and Thailand in both hostile military and humanitarian efforts.

The correct answer is Pakistan.

Key Points

• Gurdwara ‘Panja Sahib’ is a famous gurdwara which is located in Hasan Abdal, Pakistan.
• The shrine is considered to be the most valuable as the handprint of Guru Nanak, the founder of Sikhism, is believed to be imprinted on a rock at the gurdwara.
• The Kartarpur Gurdwara is located in Narowal district of Punjab province near the Indian border and is revered by Sikhs due to the belief that the founder of Sikhism, Guru Nanak died there.
• A corridor will be made to visit the Gurdwara for visa-less entry.

The 'Reduce', 'Reuse' and 'Recycle' elements are referred to as the '3 R's'.

Reducing - Try to reduce the amount of waste produced, as this is the best way to help the environment.

Reusing – New methods must be applied for reusing all the old stuff.

Recycling- This enables the materials which are thrown away to be used again by making them into new products.

According to Article 356:

If the President, is satisfied that a situation has arisen in which the Government of the State cannot be carried on by the provisions of the Constitution, the President may issue a proclamation in which the president may assume to himself all or any of the powers vested in the Governor and in such situation proclamation of Emergency is in operation, in the whole of India or in any part of the State.

The Correct Answer is Nerve Cells.

Nerve Cells:-

• Nerve cells are the longest cells in the human body. These are cells within the nervous system and carry messages throughout the body. The longest axons in the human body are those of the sciatic nerve, which run from the base of the spinal cord to the big toe of each foot.
• The Length of a nerve cell is 90cm-100cm, linking the central nervous system (brain and spinal cord) to other parts of the body.
• Diagram of Nerve Cell:-

Extra Facts:- 

Pancreatic Cells:-

• Pancreatic cells are the islets of Langerhans, which are regions of the pancreas that contain hormone-producing endocrine cells.
• The Pancreas serves two functions, endocrine and exocrine.

Epithelial Cells:-

• These cells come from surfaces of your body, such as skin, blood vessels, urinary tract, or organs.
• They protect from viruses.

Epidermal Cells:-

• These cells are thin outer layer which is present in plants, humans, animals, etc.
• For Example:- the epidermis of the skin, the epidermis of roots.

• A mixed economy is defined as an economic system which consists of a mixture of markets and economic planning, public ownership and private ownership and free markets
• In a market economy decisions regarding investment, production, and distribution are guided by the price signals created by the forces of supply and demand.
• A centrally planned economy is an economic system in which the state or government makes economic decisions rather than made by the interaction between businessman and customers.
• "Private sector of the economy” which is also known as the "private economy” comprises of all the entities that aren't an agent of the Government.

Given:

PQ = 3 × PM

PN = 3 × PS

Area of PMRN = 17 cm²  

Formula Used:

Area of rectangle = l × b

Area of right triangle = 1/2 × b × h

Calculation:

Let PQ and PS be 3l and 3b respectively

PM = l and PN = b 

Area of the rectangle PQRS = Area of PMRN + Area of Δ NSR + Area of Δ MQR 

Area of rectangle = 3l × 3b = 9lb cm² ⇒ X cm²      ----(I)

Area of PQRS = 17 + (1/2 × RQ × MQ) + (1/2 ×  NS × SR)

Area of PQRS  = 17 + (1/2 × 3b × 2l) + (1/2 ×  2b × 3l) 

⇒ X = 17 + 3lb + 3lb

⇒ X - 6lb = 17      ----(II)

Multiply (I) by 2/3 

X × 2/3 = 9lb × 2/3 ⇒ 6lb

2/3 ×X = 6lb      ----(III)

Substitute (III) in (II) 

⇒ X - (2/3) × X = 17 

⇒ 1/3 × X = 17

⇒ X = 51 cm² 

∴ The area of the rectangle PQRS is 51cm²

Alternate Method 

As given in the figure

PQ = l

PS = b

According to question,

PM = l/3

PN = b/3

Area of Rectangle PQRS = Area of quadrilateral PMRN + Area of triangle MQR + Area of triangle NSR

⇒ lb = 17 + $\frac{ \frac{2lb}{3}}{2} + \frac{ \frac{2lb}{3}}{2}$

⇒ lb = 17 + $2×\frac{ \frac{2lb}{3}}{2}$

⇒ 17 = lb - $\frac{2lb}{3}$

⇒ 17 = lb/3

⇒ lb = 17 × 3 = 51 cm²

∴ Area of Rectangle PQRS = 51 cm2

Given number = 1200

⇒ Prime factorization of 1200 = 2 × 2 × 2 × 2 × 3 × 5 × 5

⇒ Prime factorization of 1200 = 2⁴ × 5² × 3

Since, 3 has no pair, so it should be multiplied by 3 to get a perfect square

Join PR

ΔPRQ is a right angled triangle  [ANGLE IN A SEMI CIRCLE]

So, ∠PQR + ∠PRQ + ∠RPQ = 180°

⇒ ∠RPQ = 180° - 43° - 90°

⇒ ∠RPQ = 47°

Now, ∠RPQ = ∠QSR   [ANGLE MADE BY SAME CHORD]

So, ∠QSR = 47°

∴ the correct option is 3)

Given: p/q = (x + 3)/(x – 3)

So, p = [(x + 3)q]/(x – 3)

To find: (p² + q²)/(p² – q²)

Substituting the value of p in above expression

⇒ {[(x + 3)²q²]/(x – 3)² + q²}/{[(x + 3)²q²]/(x – 3)² – q²}

⇒ q²{(x + 3)²/(x – 3)² + 1}/q²{[(x + 3)²]/(x – 3)² – 1}

⇒ {(x + 3)²/(x – 3)² + 1}/{(x + 3)²/(x – 3)² – 1}

⇒ {(x + 3)² + (x – 3)²}/{(x + 3)² - (x – 3)²}

⇒ {2x² + 18}/12x

⇒ (x² + 9)/6x

∴ the correct option is 4)

Lets (p – q) = a

Hence, we have

[1/(x^a + 1)] + [1/(x^-a + 1 )]

⇒ [(x^-a + 1) + (x^a + 1)]/[(x^-a + 1)(x^a + 1)]

⇒ [x^-a + x^a + 2]/[x^{-a + a} + x^-a + x^a + 1]

⇒ [x^-a + x^a + 2]/[x^-a + x^a + 2]

⇒ 1

∴ the correct option is 2)

Shortcut Trick

Difference in percentage = 30% − 25% = 5%

This 5% gap represents the value 27.

If 5% = 27

Then 100% = (27 ÷ 5) × 100 = 540

∴ The correct answer is 540.

Alternate Method

Given: 30% of a number − 25% of the same number = 27

25% 30% 0% 100% (Number)

Gap 5% = 27

⇒ Let the required number be x.

⇒ 30% of x − 25% of x = 27

⇒ (30/100) × x − (25/100) × x = 27

⇒ (5/100) × x = 27

⇒ x = (27 × 100) ÷ 5

⇒ x = 27 × 20

⇒ x = 540

∴ The correct answer is 540.

Additional Information

Percentage Base Rule

When comparing percentages of the same number, the percentages can be directly added or subtracted. For different bases, they must be calculated individually first.

Fraction Conversion

To speed up calculations, use fraction equivalents: 25% = 1/4, 50% = 1/2, 75% = 3/4, and 20% = 1/5.

Percentage Change Formula

Percentage Change = (Difference ÷ Original Value) × 100. This is essential for profit/loss and data interpretation questions.

We know that (a + b)² = a² + b² + 2ab

⇒ [√x + (1/√x)]² = x + 1/x + 2

⇒ [√x + (1/√x)]² = 16 + (1/16) + 2

⇒ [√x + (1/√x)]² = 259/16

⇒ [√x + (1/√x)] = (√259)/4 = 4.25

Given: selling price of an article = Rs. 1848

Let the MP be Rs. a

Discount = 23%

⇒ a(1 – 23/100) = 1848

⇒ 77a/100 = 1848

⇒ a = (1848 × 100)/77

⇒ a = 2400

∴ the correct option is 4)

Given: √[(1/sin²A) + (1/cos²A)]

⇒ √[(sin²A + cos²A)/[ sin²A × cos²A]

⇒ 1/sinA × cosA

Putting 1 = sin²A + cos²A

⇒ (sin²A + cos²A)/ sinA × cosA

⇒ sinA/cosA + cosA/sinA

⇒ tan A + cot A

Given:

Time taken by A to complete the work = 10 days 

Time taken by B to complete the work = 12 days 

Time taken by C to complete the work = 15 days 

Concept used:

Total work = LCM 

Efficiency = (Total work)/(Total time)

Calculations:

Total work = LCM(10, 12, 15) = 60

Total efficiency of A, B and C together = 6 + 5 + 4 = 15 

Work done by A, B and C in 2 days = 15 × 2 = 30 units  

Remaining work = 60 – 30 = 30 units

According to the question, B left the job 3 days before the work was completed.

So, in the last 3 days, only C was working 

So, work done by C in 3 days = 4 × 3 = 12 units 

Remaining work = 30 – 12 = 18 units 

These 18 unit work is completed by B and C together

Total efficiency of B and C = 5 + 4 = 9

So, time taken by B and C to complete 18 units of work = 18/9 = 2 days

Total time to complete the work = 2 + 2 + 3 = 7 days 

Total work = LCM(10, 12, 15) = 60

Let the total number of days taken to finish the work be x.

C worked for all X days.

B worked for (X - 3) days

A worked for 2 days.

Total work by all together = 60 untis

4 × X + 5 × (X - 3) + 6 × 2 = 60

Or, 9X = 63

Or, X = 7 

∴ Total time to complete the work is 7 days

Let the distance between 2 trees = a units

Then, the distance covered to reach 13^th tree = 12a units

⇒ Time taken to cover a units = 20/12 = 1.67 sec

Remaining distance to be covered = 36a – 12a = 24a units

⇒ Time taken to cover 24a units = 24 × 1.67 = 40 sec

∴ the correct option is 2)

Let sides of square PQRS be a units

⇒ MQ = a/2 and QN = a/3

We know that, area of triangle = 1/2 × base × height

So, Ar(ΔMQN) = 1/2 × MQ × QN

⇒ Ar(ΔMQN) = 1/2 × a/2 × a/3

⇒ 48 = a²/12

⇒ a² = 576

⇒ a = 24 cm

Length of side = 24 cm

So, length of diagonal PR = a√2 = 24√2 cm

Here, MQ = 15 cm and NS = 12 cm because OM and ON are perpendicular bisectors

Now, Join OQ and OS

Here, ΔOMQ and ΔONS

In ΔOMQ

⇒ OQ² = OM² + MQ²

⇒ OQ² = 12² + 15²

⇒ OQ = √369

Also OQ = OS = Radius of circle

In ΔONS

⇒ OS² = ON² + NS²

⇒ 369 = ON² + 12²

⇒ 369 - 144 = ON²

⇒ ON = 15 cm

∴ the correct option is 3)

Given: √[(1 - sinA)/(1 + sinA)]

Multiplying (1 – sinA) to both numerator and denominator

⇒ √[(1 - sinA)²/(1² – sin²A)]

⇒ √[(1 - sinA)²/(cos²A)]

⇒ (1 - sinA)/(cosA) 

⇒ 1/cosA – sinA/cosA

⇒ sec A – tan A

Given,

3P/5 = 7Q/2 = 7R/5

⇒ LCM of all the denominators = 2, 5 and 5

⇒ LCM of all the denominators = 10

This gives, 6P/10 = 35Q/10 = 14R/10

⇒ 6P = 35Q = 14R

Now, LCM of 6, 35 and 14 = 210

So, if 6P = 35Q = 14R = 210

⇒ P = 210/6 = 35

⇒ Q = 210/35 = 6

⇒ R = 210/14 = 15

∴ P : Q : R = 35 : 6 : 15

Sum of first 93 natural numbers = n(n + 1)/2 = 93(94)/2 = 4371

⇒ Average of first 93 numbers = 4371/93 = 47

∴ the correct option is 3)

Let the principal = P

Then, Amount = 2P

We know that, A = P + [P × R × $7\frac{2}{3}$] /100

⇒ 2P = P + [P × R × $7\frac{2}{3}$] /100

⇒ P = [P × R × $7\frac{2}{3}$] /100

⇒ 100 = R × $7\frac{2}{3}$

⇒ 100/ (23/3) = R

⇒ R = $13\frac{1}{{23}}$

∴ the correct option is 2)

According to graph, percentage change from 8 am to 9 am is highest

i.e., [(138 – 14)/14] × 100 = 885.7%

∴ the correct option is 3)

We know total number of cars = 1110 and total time duration =13

hence the average will be 1110/6 = 85.38

Since, the average number of cars parked per hour from 6 am to 6 pm = 85.38

So, according to graph,

There are 8 cases in which the number of parking is less than 85.38

∴ the correct option is 2)

Total number of cars = 1110

Charges = Rs. 50 per hour

So, the total income (in Rs) from 6 am to 6 pm on the given day = 1110 × 50 = Rs. 55500

∴ the correct option is 1)

Selling price of 2 items = Rs. 400 each

⇒ Cost price of the item which amounts to loss = 400/[1 - (1/15)]

⇒ Cost price of the item which amounts to loss = Rs. 470.58

Here, loss = 470.58 – 400 = Rs. 70.58

⇒ Cost price of the item which amounts to profit = 400/[1 + (1/15)]

⇒ Cost price of the item which amounts to profit = 40000/115

⇒ Cost price of the item which amounts to profit = Rs. 347.83

Here, profit = 400 – 347.83 = Rs. 52.17

So, total loss = 70.58 – 52.17 = 18.41

Given:

{[(1 + a) / (a^1/2 + a^-1/2) + a^-1/2] – [(a^1/2 + a^-1/2) / (1 + a)]}

⇒ {[(1 + a) + (a^1/2 + a^-1/2)(a^-1/2) / (a^1/2 + a^-1/2)] – [(a^1/2 + a^-1/2) / (1 + a)]}

⇒ {[(2 + a + a^-1) / (a^1/2 + a^-1/2)] – [(a^1/2 + a^-1/2) / (1 + a)]}

⇒ {[(2 + a + a^-1)(1 + a) – (a^1/2 + a^-1/2)²] / [(a^1/2 + a^-1/2)(1 + a)]}

⇒ {[(a² + 3a + a^-1 + 3) – (a + a^-1 + 2)] / [(a^1/2 + a^3/2 + a^-1/2 + a^1/2)]}

⇒ {(a² + 2a + 1) / (2a^1/2 + a^3/2 + a^-1/2)}

Taking a^1/2 common from the numerator

⇒ a^1/2[(2a^1/2 + a^3/2 + a^-1/2)] / [( 2a^1/2 + a^3/2 + a^-1/2)]

⇒ a^1/2 (1) = √a

∴ the correct option is 1

Given: (1 – sin A cos A)(sin A + cos A)

⇒ sinA + cosA – sin²A cosA – sinA cos²A

⇒ cosA – sin²A cosA – sinA cos²A + sinA

⇒ cosA(1 – sin²A) + sinA(1 – cos²A)

⇒ cosA(cos²A) + sinA(sin²A)

⇒ sin³A + cos³A

Given r = 7/2

⇒ Initial surface area = 4πr² = 4 π (3.5)²

⇒ Final surface area = 4πr² + 2 π r²

⇒ Final surface area = 6πr²

⇒ Increase in total surface area = 6πr² - 4πr² = 2πr²

⇒ Increase in total surface area = 2π(3.5)²

⇒ Increase in total surface area = 76.96 cm²

∴ the correct option is 1)

Total number of cars parked from 6 am to 6 pm = 152 + 35 + 14 + 138 + 34 + 40 + 35 + 150 + 63 + 68 + 112 + 73 + 196 = 1110

Total number of hours = 13

Average number of cars parked per hour from 6 am to 6 pm = 1110/13 = 85.38 = 85

∴ the correct option is 2)

Correct Answer: Nepotism  

Nepotism means ‘the practice among those with power or influence of favouring relatives or friends, especially by giving them jobs’. Hence, it is the correct one-word substitute.

Ableism is discrimination in favour, iconoclast is a critic and maiden means an unmarried girl.

The correct answer is: Option 1.

Key Points

• The word "Haggard" means looking exhausted and unwell, especially from fatigue, worry, or suffering. (थका हुआ और बीमार)
• Example: After working for three days without sleep, he looked haggard and worn out.
• "Emaciate" refers to being abnormally thin or weak, especially because of illness or a lack of food. (दुर्बल)
• Example: The stray dog was emaciated and in desperate need of nourishment.
• Hence, we can infer that the word similar in meaning to 'Haggard' is 'Emaciate'.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Insane (पागल): In a state of mind which prevents normal perception, behavior, or social interaction; seriously mentally ill.
• Example: His insane behavior worried his family and friends.
• Rejected (अस्वीकृत): Dismissed as inadequate, unacceptable, or faulty.
• Example: Her application was rejected due to incomplete information.
• Ridicule (उपहास): The subjection of someone or something to contemptuous and dismissive language or behavior.
• Example: They ridiculed him for his unusual ideas.

The correct answer is "Philistine".

Key Points

• Philistine means a person who is hostile or indifferent to culture and the arts.
• Example - When it comes to art, the man's a philistine.
• Dictator is a ruler with complete power
• Example - He plays the leader of mercenaries battling a brutal dictator.
• Hypocrite means a pretender
• Example - The man is a total hypocrite.
• Primitive means of ancient times.
• ​Example - It is a primitive instinct to flee a place of danger.

Thus, the correct answer is option 3.

Correct Answer: seeks

‘Seek’ means to ask or obtain permission from someone for something. Therefore, it is the appropriate match for the blank.

Correct Answer: SQRP  

Only Sentence S begins without a conjunction and is the opening sentence.

Sentence R clearly depends on Sentence Q, as Q has ‘particular time and particular place’. This makes SQR a combination, which exists only in Option 4.

Hence, SQRP is the correct answer.

Correct Answer: One place to another

‘Pillar to post’ means ‘from place to place, hither and thither’.

An example sentence is: ‘His job was the cause of him going pillar to post for the past five years’.

Correct Answer: No real choice at all

Hobson’s choice means ‘something that seems to be a choice but is not’, meaning a choice made when there are no alternatives.

An example sentence is: ‘It’s Hobson’s choice right now, as there are no other rooms available’.

Correct Answer: quality  

‘Quality’ is the standard of something or the degree of excellence. The sentence is about the educational curriculum, so, ‘quality’ is the appropriate word to fill in the blank.

Correct Answer: robots  

The new age talks about computers and robots replacing the need for humans in jobs. The other options do not make much sense in the context. Therefore, ‘robots’ is the correct answer.

Correct Answer: By whom are you taught Mathematics?

Although there are two subjects in the sentence, ‘you’ and ‘Mathematics’, as per the rules, we take the subject closest to the verb, which in this case is ‘you’. Therefore, the passive voice would then have ‘you’ as the object, as in Sentences 1, 2 and 3. However, Sentences 2 and 3 do not respect the tense of the active voice, making them incorrect. The correct sentence is Sentence 1.

Correct Answer: truth

The previous sentence is a statement which is propounded in the passage. Therefore, it can be considered as a ‘truth’.

Correct Answer: to sleeping  

Because sleep is a continuous activity, when used with a timeframe (so long), it has to be in the continuous tense. Therefore, ‘to sleeping’ is the correct choice.

The correct answer is: Indifferent.

Key Points

• The word "commiserate" means to express or feel sympathy or pity; to sympathize. (सहानुभूति प्रकट करना)
• Example: She went over to commiserate with Rose on her unfortunate circumstances.
• "Indifferent" refers to having no particular interest or sympathy; unconcerned. (उदासीन)
• Example: He was indifferent to the suffering of others, showing no empathy at all.
• Hence, we can infer that the opposite of 'commiserate' is 'indifferent'.

Therefore, the correct answer is: Indifferent.

Additional Information

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

• Debatable (विवादास्पद): Open to discussion or argument.
• Example: The topic of climate change is highly debatable among scientists.
• Empathize (सहानुभूति रखना): Understand and share the feelings of another.
• Example: She could empathize with her friend’s grief over the loss of her pet.
• Legion (सेना): A vast multitude or a large number of people or things.
• Example: He has a legion of fans who adore his work.

The correct answer is: Clamorous.

Key Points

• The word that is similar in meaning to "boisterous" is "clamorous."
• Explanation: Both "boisterous" and "clamorous" describe something or someone that is noisy, loud, and full of energy or excitement.
• They are synonymous because they convey a similar idea of a lively and uproarious nature.
• Therefore, the correct answer is: Clamorous.

Additional Information

• Clamorous: (Similar meaning to boisterous) Making a loud and noisy outcry or uproar. (शोरमंद, कोलाहलपूर्ण)
• Ferocious: Having a fierce, savage, or violent nature. (उग्र, उग्ररूपी)
• Fissiparous: Tending to break apart or divide into smaller sections or groups. (विभाजनकारी)
• Voluminous: Having great volume, size, or fullness; large or extensive. (विस्तृत, व्यापक)

The correct answer is "Hypocracy". 

Key Points

• ‘Hypocracy’ is the incorrectly spelt word. The correct spelling is ‘hypocrisy’.
• Hypocrisy refers to the act of pretending to have qualities, beliefs, or principles that one does not actually possess. It involves expressing a certain virtue or opinion while behaving in a contradictory manner, often to deceive others or avoid criticism.
• Example: The politician's hypocrisy was evident when he publicly advocated for transparency, but privately engaged in corrupt practices.
• Let us look at the meanings of other words:
• Colonel: Colonel is a military rank that is typically above the rank of lieutenant colonel and below the rank of brigadier general. In most armies, it is considered a senior field-grade officer rank. A colonel is responsible for commanding a regiment or a similar-sized military unit.
• Example: Colonel Smith led his troops into battle with great determination and strategic prowess.
• Offence: Offence refers to an action or behavior that is considered morally, socially, or legally unacceptable or improper. It involves violating a rule, norm, or code of conduct, which can result in harm, hurt feelings, or negative consequences for others.
• Example: His offensive remarks during the meeting offended several colleagues and created a tense atmosphere.
• Strength: Strength generally refers to the physical or mental power and capacity to exert force or overcome obstacles. It can also be used metaphorically to describe attributes such as resilience, determination, or moral fortitude.
• Example: The weightlifter demonstrated incredible strength by lifting the heavy barbell over his head.

Correct Answer: 2  

Since floor and restaurant are not similar terms, they cannot be used in conjunction. The correct sentence is: ‘Our office building comprises seven floors with a restaurant at the top in an area of about eight hundred sq. metres.

Correct Answer: QSPR  

The sentences talk about the interdependence of food and labour market. This causes Sentence Q to be the opening sentence. Sentence P talks about the shifts in the food supply curve, which is talked about first in Sentence S. Hence, P is followed by S. Therefore, QSPR is the correct sequence.

Correct Answer: all the  

Since the sentence uses the superlative form, ‘greatest’, it already includes all other writers in the comparison. Therefore, the word ‘other’ has to be omitted. The correct choice is ‘all the’.

Correct Answer: She said that she didn't know the answer and asked me if I did.

On converting to indirect speech, the tense changes to past tense. In Sentence 3, the rules are correctly followed and therefore, it is the correct answer.

Correct Answer: teachers  

In an education system, there are teachers who teach the students. Therefore, the blank can only be filled by ‘teachers’.

Correct Answer: inadequate

‘Inadequate’ means lacking the quality needed’. The sentence says that as long as we are unmindful of the truth, the quality of all the components of our education system will be lacking, i.e., ‘inadequate’.

The correct answer is "Preceed".

Key Points

• ‘Preceed’ is the incorrectly spelt word. The correct spelling is ‘precede’.
• Precede: Precede means to come before in time, order, or rank. It refers to something that occurs or is positioned prior to another event, action, or object.
• Example: The opening ceremony will precede the main event by half an hour.
• Let us look at the meaning of other words:
• Proceed: Proceed means to continue or move forward, especially after a pause or delay. It involves taking action or progressing towards a particular destination or objective.
• Example: The meeting will proceed as scheduled despite the minor technical difficulties.
• Recede: Recede means to move back or retreat, typically from a previous position or level. It describes something that gradually becomes more distant or less intense.
• Example: The floodwaters began to recede, revealing the damage caused to the surrounding areas.
• Succeed: Succeed means to achieve a desired outcome or result. It can refer to accomplishing a goal, taking over a position or role from someone else, or achieving prosperity and recognition.
• Example: With her hard work and dedication, she managed to succeed in securing the promotion she had been working towards.
• Hence option 1 is correct.

Correct Answer: wants  

The subject of the sentence is the sister, not the brothers. Therefore, the verb form should be used in accordance with the subject, which is singular. The correct answer is hence, ‘wants’.

Correct Answer: 4

Since the sentence has both ‘father and ‘elder brother’, the plural form is used (are not). Hence, the sentence is free of any errors.

The word opposite in meaning to "Ostentation" is "Modest."

Key Points

• Modest (Hindi: विनम्र) - not excessive, moderate, or humble.
• Ostentation (Hindi: अप्रतीक्षित प्रदर्शन) excessive display or showiness.
• They are opposite because ostentation involves extravagant or flashy display, whereas modesty implies simplicity, humility, and avoiding excessive showiness.
• As we can see, the meanings of 'ostentation' and 'modest' are opposite to each other.

Therefore, the correct answer is: Modest.

Additional Information 

• Comical (Hindi: हास्यास्पद) - humorous or funny
• Insane (Hindi: पागल) - mentally deranged or crazy
• Swanky (Hindi: ढेर सारी दिखावटी) - stylish or luxurious.