SSC GD Constable Previous Year Paper (Held on: 11th February 2019 Shift 3)

The pattern followed is,

The number of sides in the given figures is increasing by 1.

• In the first figure, there is one side.
• In the second figure, there are two sides.
• In the third figure, there are three sides.
• So, In the fourth figure, there must be four sides.

The figure which will come next in the pattern is,

Hence, option 3 is the correct answer.

The least possible Venn diagram is,

Conclusion I: All cows are goats → False (This is possible but not definite)

Conclusion II: Some cats are cows → True (This is definitely true)

Hence, “only conclusion II” follows.

The pattern followed is,

Hence, “201” is the correct answer.

The mirror image of the following word when mirror is placed at right side is,

Hence, option 2 is the correct answer.

The given figure is embedded in,

Hence, option 4 is the correct answer.

The pattern followed is,

AEI, IOU and OUA are sets of Vowels.

Whereas,

FGH are consonants.

Hence, “FGH” is the odd one out.

The pattern followed is,

For TERRACE,

TERRACE = 20 + 5 + 18 + 18 + 1 + 3 + 5 = 70

Similarly,

For BALCONY,

BALCONY = 2 + 1 + 12 + 3 + 15 + 14 + 25 = 72

Hence, “72” is the correct answer.

Option 1 → A collection of grapes is called a bunch.

Option 2 → A collection of flowers is called a bouquet

Option 3 → A group of bees is called a swarm

Option 4 → A group of men is not called a class.

In all pairs except 'Man: Class', the second term is a collection of the first.

Hence "Man: Class" is the odd pair.

The pattern followed is,

Hence, “YZ” is the correct answer.

The least possible Venn diagram is,

Conclusion I: All girls are women → False (This is possible but not definite)

Conclusion II: Some women are painters → False (This is possible but not definite)

Hence, “neither conclusion I nor II” follows.

The pattern followed is,

Similarly,

Hence, “ARZRO” is the correct answer.

According to the given information,

The one who reads it first, gives it to T.

So, T reads second.

The one who reads it last, had taken it from R.

So, R is in the fourth place.

There were two readers between P and R.

Q is not the first or last one to read it.

Q is the third one to have read the newspaper.

Hence, “Q” is the correct answer.

The option that will replace the question mark and complete the given pattern is,

Hence, option 4 is the correct answer.

Arranging them according to the given information,

E and F are at the centre while A and B are at the two extreme ends.

C is sitting to the immediate left of A.

Case 1: If facing North

Case 2: If facing South

D is sitting to the immediate right of B.

Hence, “D” is the correct answer.

72, 48 and 96 are divisible by 3.

Whereas,

68 is not divisible by 3.

Hence, “68” is the odd one among the given options.

The pattern followed is,

For 144: 12,

12² is 144

Similarly,

For 576: ?

24² is 576

‘24’ is related to the third term in the same way as the second term is related to the first term.

Hence, “24” is the correct answer.

The pattern appear which will appear when the transparent sheet is folded along the dotted line is,

Hence, option 2 is the correct answer.

The pattern followed is,

Row wise: (First number + third number) ÷ 2 = Second number

For first row: 

⇒ (12 + 28) ÷ 2 = 40 ÷ 2  = 20

For third row:

⇒ (31 + 11) ÷ 2 = 42 ÷ 2  = 21

Similarly,

For second row:

⇒ (21 + ?) ÷ 2 = 19

⇒ 21 + ? = 38

⇒ ? = 17

Hence, “17” is the correct answer.

The pattern followed is,

Similarly,

Hence, “TNDHBK” is the correct answer.

Gold and Silver are metals.

The correct Venn diagram is,

Hence, option 3 is the correct answer.

Arranging them according to the given information,

S is sitting third to the left of T. Q is seated second to the right of T.

R is not sitting between T and U. S is not the immediate neighbour of R.

‘S’ is sitting between U and Q.

Hence, “S” is the correct answer.

Cardiology is the branch of medicine that deals with diseases and abnormalities of the heart.

Similarly,

Virology is the branch of science that deals with the study of viruses.

‘Virus : Virology’ is analogous to the given pair.

Hence, “Virus : Virology” is the correct answer.

By decoding the given information,

The original equation is,

49 × 7 – 3 ÷ 9 + 4 = ?

Interchanging the signs,

49 ÷ 7 × 3 + 9 – 4 = ?

Using BODMAS rule,

7 × 3 + 9 – 4 = ?

21 + 9 – 4 = ?

30 – 4 = 26

Hence, “26” is the correct answer.

The pattern followed is,

1² + 1 = 2

2³ + 2 = 10

3⁴ + 3 = 84

4⁵ + 4 = 1028

Hence, “1028” is the correct answer.

Detect, Perceive and Observe are synonyms of each other.

Whereas, Ignorance is not a synonym

Hence, “Ignorance” is the odd one.

The correct answer is option 1 i.e. Shubha Mudgal

• Shubha Mudgal is a famous Indian singer of 'Hindustani classical music'.
• She has made a great contribution to Hindustani classical music, Thumriye Khyal, and Dadra music.
• Rita Ganguly is related to the Indian classical arts and she was honored with Padma Shri in 2003.
• Naina Devi was a famous singer of Hindustani classical music.
• She was known especially for her Thumri' singing and she was awarded Padma Shri in 1974.

The correct answer is option 3 i.e. Lord Irwin

• M.K Gandhi joined an official meeting with Lord Irwin on the behalf of the Indian National Congress.
• Gandhiji agreed to negotiate with Irwin on the terms of constitutional reforms on 5 March 1931.
• The 'Second Round Table Conference' was organized in London.
• Gandhi attended the 'Second Round Conference' during the Viceroy Lord Willington in Dec. 1931.
• Lord Ripon is known for many reforms in the internal administration of India during 1880-84.
• A 'University Commission' was established in 1902 at the time of 'Lord Curzon'.

The correct answer is option 3 i.e. Rama Devi

• V. S. Ramadevi was the first woman Chief Election Commissioner of India.
• Apart from this, she was also the first female Governor of Karnataka.
• Pratibha Devi  Patil was the first woman President of India (From 2007 to 12).
• Meira Kumar was the first woman Lok Sabha Speaker of India from 2009 to 2014.
• Nirmala Sitharaman is a famous politician and a member of the Bharatiya Janata Party (BJP).
• She currently serves as the Finance Minister of India.

The correct answer is option 1 i.e. Kerala.

• Kathakali is a popular dance form around Malabar, Cochin, and Travancore.
• This dance is a famous dance form of the south-western state of Kerala.
• Kathakali originated in Kerala in the 17th century.
• 'Bharatanatyam' is one of the oldest and most popular classical dance of the Tamil Nadu state of India.
• 'Kuchipudi' is a famous dance form of the state of Andhra Pradesh.
• 'Yakshagana' is a famous dance-drama performed in the coastal areas of Karnataka.

The correct answer is option 4 i.e. Palk Strait

Key Points

• The Palk Strait is a strait between the Tamil Nadu state and the northern part of Sri Lanka.
• It connects the Bay of Bengal and the Pak Bay in the northeast.

Additional Information

The correct answer is option 4 i.e. Pandit Madan Mohan Malaviya

• Banaras Hindu University was established in 1916 by Pandit Madan Mohan Malaviya.
• Pandit Madan Mohan Malaviya was an Indian reformer and he was the founder of Akhil Bharatiya Hindu Mahasabha.
• Bal Gangadhar Tilak was an Indian nationalist and leader of the Independence Movement.
• Jawaharlal Nehru was the first prime minister of India and the longest-serving prime minister.

The correct answer is option 4 i.e. Rainy

• Sowing of Kharif crops is done in the months of June-July.
• The monsoon rains begin from the month of June. Which provides a favorable environment for the Kharif crop.
• The winter season starts from November-December, at this time the Rabi crop is sown.
• Wheat, gram, pea, mustard, etc are the major Rabi crops.
• Paddy, Bajra, Jowar Millet, maize, etc. are the major Kharif crops.

The correct answer is Stapes.

• Smallest Bone in the Human Body
• At 3 mm x 2.5 mm, the "stapes" in the middle ear is the smallest named bone in the human body.
• The shape of a stirrup, this bone is one of three in the middle ear, collectively known as the ossicles.
• The ossicles convey sound pressure waves from the outer ear (and eardrum) to the inner ear, where the waves are translated into nerve impulses that go to the brain for identification.
• The other two ossicles are the malleus (hammer) and the incus (anvil).

The correct answer is silver.

Key Points

• Silver is a chemical element with symbol "Ag" and its atomic number is "47".
• Silver metal (Ag) is a good conductor of electricity and it is not chemically active in the atmosphere.
• Silver is classed as a transition metal in the periodic table.
• Silver is a white, soft precious metal used in **making jewelry.**​

Additional Information

• Aluminum (Al) is a silvery-white metal used in kitchen utensils, window frames, and airplane parts.

The correct answer is option 1 i.e. Government of India Act.

• The Company's rule in India was abolished by the 'Government of India Act' 1858.
• By this act, the control of the rule of India was handed over to the 'British Emperor'.
• Now the entire responsibility of the Indian government was on the 'Secretary of India'.
• A minister of the British government was called the 'Secretary of India'.
• Indian Trusts Act, 1882 is relating to private trusts and trustees.

The correct answer is option 3 i.e. Sridevi

• The 'Best Actress Award' was given to the late actress 'Sridevi' for her film 'Mom'.
• The 65th National Film Awards was given by the President Ramnath Kovind in 2018.
• The National Film Awards is the famous film award in India established in 1954.
• The 'National Film Award' is given for outstanding contributions to the world of cinema.
• Actor 'Vinod Khanna' was posthumously awarded the Dadasaheb Phalke Award. ​

The correct answer is option 4 i.e. fish production 

• During the Blue Revolution in India, there was widespread development of fish production.
• During the Blue Revolution, there has been a great improvement in fish farming, fish breeding, fish marketing, and fish exports.
• 'Arun Krishnan' is the father of the blue revolution in India.
• The 'Golden Fibre Revolution' is related to 'Jute Production'.
• The 'Green Revolution' is related to 'Agriculture Production'.
• The 'Black Revolution' is related to 'Petroleum Production'.
• The 'White Revolution' is related to 'Milk Production'.

The correct answer is option 3 i.e. Veto

• "Veto" is a prerogative that can be used to prevent a resolution from being passed.
• "Veto" is a Latin language word and it means, 'I do not allow'.
• Veto power is exercised by member nations at the United Nations Security Meeting.
• When there is a disagreement on an issue, then any decision or change is prevented by veto power.
• The vote is usually used to select someone or to express their vote.

The correct answer is option 1 i.e. TISCO

• The three major plants of Bhilai, Durgapur, and Rourkela are maintained by the 'Steel Authority of India Limited' (SAIL).
• | Steel Plant | Details | | --- | --- | | TISCO | - Tata Steel, also known as 'TISCO', is a large steel company in the private sector. - It was established in 1907 in Jamshedpur, Jharkhand and its headquarters are located in Mumbai. | | Rourkela Steel Plant | - Rourkela Steel Plant is the first public sector integrated steel plant in India. - The factory was established in 1955 in Orissa in collaboration with Germany. | | Bhilai Steel Plant | - It is a steel plant located in Bhilai, Chhattisgarh, India. - This plant was established in 1955 with the help of the Soviet Union. | | Durgapur Steel Plant | - It was established in 1959 in Kolkata during the Second Five-Year Plan. - It is situated on the banks of Damodar River and has been established with British cooperation. |

The correct answer is Preserving pickle.

Key Points

• Sodium hydroxide (NaOH) is known as 'caustic soda' and it is a 'high-base' alkali.
• It is used in the manufacture of pulp and paper cloth, drinking water, soap, and detergent.
• In the field of medicine, sodium hydroxide is used for the treatment, control, prevention, and improvement of diseases.

Hint

• Sodium benzoate is used as a preservative for carbonated drinks, jams and fruit juices, and pickles.

The correct answer is option 4 i.e. Parvez Musharraf

• Pakistan's elected government was couped in 1999 by General Pervez Musharraf.
• General Pervez Musharraf served as general of the Pakistan Army from 6 October 1998 to 28 November 2007.
• General Qamar Javed Bajwa is appointed as the current Chief of Army Staff of the Pakistan Army since 29 November 2016.
• Raheel Sharif was a former Chief of Army Staff of Pakistan.
• Ziauddin Butt served as the Chief of Army Staff of Pakistan for a brief time.

The correct answer is Hyderabad.

Key Points

• The Charminar is a monument located in Hyderabad, Telangana, India.
• Charminar is famous for its four grand arches which are built-in Indo-Islamic architectural styles.
• It was built by Quli Qutub Shah in 1591 AD on the banks of river Musi.
• Hyderabad and Secunderabad are both famous twin cities in India.
• Panaji is the capital of the Indian state of Goa.
• On 30 May 1987, Goa became a full-fledged state of India.

Additional Information

The correct answer is option 3 i.e. Irfan Pathan

• Irfan Pathan is the first bowler who takes a hat-trick in the "first over" of the test match.
• Irfan Pathan became the second Indian bowler to take a hat-trick in the test match.
• Irfan Pathan takes this great achievement against Pakistan in the third Test of the three-match series on January 29, 2006.
• Off-spinner Harbhajan Singh is the first Indian bowler to achieve Test hat-trick.
• Jasprit Bumrah became the third Indian bowler who takes a Test hat-trick.

The correct answer is option 1 i.e. Urjit Patel

• Urjit Patel resigned as the Governor of Reserve Bank of India in December 2018.
• Urjit Patel is an Indian economist, who was appointed as the 24th Governor of the Reserve Bank of India.
• Shaktikanta Das is the 25th governor of the Reserve Bank of India (RBI).
• 'Sir Osborne Smith' was the first Governor of the Reserve Bank of India.
• The Reserve Bank of India was established in 1935 under the Reserve Bank of India Act,1934.

The correct answer is Villi.

• Capillaries are called very tiny blood vessels.
• The Capillaries expand like a mesh in the whole body.
• Through these capillaries, blood is transported to all parts of the whole body.
• The arteries are the blood vessels that carry blood from the heart.
• All arteries carry oxygen-rich blood, except for pulmonary and avascular arteries.
• A tube that carries blood from the body to the heart and returns back is called a 'vein'.
• 'Villy' is a structure found in the intestine that helps to absorb nutrients from the food eaten.

The correct answer is Tokyo.

• The Tokyo Olympics which was scheduled to held in 2020 will take place in  to 2021 due to Covid-19 pandemic (Summer edition) will be held in Japan.
• The Olympic Games are considered the world's biggest sports competition.
• The Olympic Games are normally held every four years.
• It is organized alternating between the Summer and Winter Games every two years in the four-year period.
• The first modern Olympic Game is organized in Athens in 1896.
• The present President of the International Olympic Committee is 'Thomas Bach'.
• The headquarter of the International Olympic Committee located in Lausanne, Switzerland.

The correct answer is option 3 i.e. the Brahmaputra

• 'Majuli' is the largest river island in the world.
• Majuli island is a large river island located in the middle of the 'Brahmaputra River' in Assam.
• This island was formed due to a change in direction of the 'Brahmaputra River' and its tributaries.
• The Brahmaputra river origin from the Manasarovar Lake in Tibet and flow through Tibet, India, and Bangladesh.
• The Godavari is the longest river of South India it is known as "Dakshin Ganga".
• The Kaveri river origin on the Brahmagiri range in the Western Ghats, of Kodagu district of the state of Karnataka.

The correct answer is Charles Robert, Darwin

Key Points

The correct answer is option 4 i.e. Aravalli Hills

• The Aravalli mountain range extends from Gujarat to Delhi in 692 km.
• The maximum part of this mountain (Near about 80%) comes in Rajasthan state.
• The 'Guru Shikhar' (1721 m) is the highest peak of this mountain.
• 'Nilgiri' is a range of the Western Ghats of India.
• The Nilgiri mountain range is spread over the states of Tamil Nadu, Karnataka, and Kerala.
• The highest peak of Nilgiri mountain is 'Doddabetta'.
• 'Kaimur Hills' is the eastern part of the Vindhyan Range.

The correct answer is option 2 i.e. CK Khanna

• C. K. Khanna was the acting president of the BCCI from the year 2017 to February 2019.
• Sourav Ganguly was a former captain of the Indian cricket team who is elected as president of the BCCI in 2019.
• Vinod Rai was appointed as the interim president of the BCCI by the Supreme Court on the dismissal of Anurag Thakur in Jan 2017.
• Shashank Manohar was a former cricket administrator who was appointed twice as chairman of the BCCI.
• The Board of Control for Cricket (BCCI) is a governing body for cricket in India which was established in 1928.

Given:

Ravi can complete the work 30 days

Manish can complete it in 15 days

And Naveen can complete it in 10 days

Concept:

In this type of question always imagine the total work as LCM of time taken by individuals to

perform the work.

Formula used:

Efficiency = Total work/Time taken

Calculation:

Let the total work be LCM of 30, 15, 10 i.e. 30 unit

So efficiency of Ravi = 30/30 = 1 unit/day

Efficiency of Manish = 30/15 = 2 unit/day

Efficiency of Naveen = 30/10 = 3 unit/day

Ravi work for 2 days and performed work = 2 × 1 = 2 unit

Manish work for 5 days and performed work = 5 × 2 = 10 unit

Naveen 5 day work = 5 × 3 = 15 unit

Remaining work = 30 – (2 + 10 + 15) = 3 unit

∴ Time taken by Naveen to complete the remaining work = 3/3 = 1 day

Shortcut Trick

Assume B = 100.

Since A is 25% less than B, A = 100 − 25 = 75.

Ratio B : A = 100 : 75 = 4 : 3.

Substitute B = 4 and A = 3 in the expression (2B − A)/A.

Value = (2 × 4 − 3) ÷ 3 = (8 − 3) ÷ 3 = 5/3.

∴ The correct answer is 5/3.

Alternate Method

Given:

A = B − 25% of B

Formula Used:

Value = (2B − A) / A

Calculations:

⇒ A = B × (1 − 25/100) = B × (75/100)

⇒ A = 3B/4

⇒ 4A = 3B → B = 4A/3

⇒ Required value = (2(4A/3) − A) / A

⇒ Required value = ((8A/3) − A) / A

⇒ Required value = ((8A − 3A) / 3) / A

⇒ Required value = (5A / 3) / A = 5/3

∴ The correct answer is 5/3.

Additional Information

Percentage Change Base

If x is r% less than y, then x = y × (100 − r)/100. Conversely, y is [r/(100 − r)] × 100% more than x.

Fraction Equivalents

25% = 1/4. If a value is 25% less, the multiplier is (1 − 1/4) = 3/4. If 25% more, the multiplier is (1 + 1/4) = 5/4.

Given:

Speed of Puneet from his home to office = 60 km/hour

And speed of Punnet from his office to home = 90 km/hour

Formula used:

Average speed = 2v₁ × v₂/(v₁ + v₂) 

Where v₁ and v₂ are the speeds of journey for equal distance

Calculation:

Average speed = 2 × 60 × 90/(60 + 90) = 2 × 5400/150

∴ Average speed = 72 km/hour

Given:

Amount (A) = 6 × Principal (P)

Time = 4 years

Formula used:

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

Where A = Amount

P = Principal

r = rate of interest

T = Times

Calculation:

Let the principal be P and after T years it becomes 216 times of itself

According to question,

6P = P × (1 + r/100)⁴

⇒ 6 = (1 + r/100)⁴

⇒ (1 + r/100) = 6^1/4     ---- (i)

Also 216P = P × (1 + r/100)^T

⇒ 216 = (6^1/4)^T

⇒ 6³ = 6^T/4

⇒ T/4 = 3

⇒ T = 12 years

∴ The sum becomes 216 times of itself in 12 years.

Alternate Method

A certain sum at C.I become ‘y’ times in n₁ years. and ‘z’ times in n₂ years. then y^1/n₁ = z^1/n₂

Using the above formulae, we have

⇒ 6^1/4 = 216^1/n₂

⇒ 6^1/4 = 6^3/n₂

⇒ 1/4 = 3/n₂

⇒ n₂ = 12 years.

∴ The sum becomes 216 times of itself in 12 years.

Given:

Height of circular cylinder = 16 cm

Diameter of base = 3.5 cm

Formula used:

Volume of cylinder = πR²H

Where R is the radius of the base and H is height of right circular cylinder

Calculation:

Volume of cylinder = π × (3.5/2)² × 16

⇒ (22/7) × 35 × 35 × (16/400)

⇒ 14 × 11 = 154 cm³

∴ The Volume of the cylinder = 154 cm³.

Shortcut Trick

Ratio of Profit = (Investment_A × Time_A) : (Investment_B × Time_B)

Ratio = (28000 × 8) : (42000 × 12) = (28 × 8) : (42 × 12)

Ratio = (4 × 2) : (6 × 3) = 8 : 18 = 4 : 9

Total ratio parts = 4 + 9 = 13 units.

13 units = Rs. 21125 ⇒ 1 unit = 21125 ÷ 13 = Rs. 1625

Share of B = 9 units = 9 × 1625 = Rs. 14625

∴ The correct answer is Rs. 14625.

Alternate Method

Given → Investment of A = Rs. 28000, Time of A = 8 months. Investment of B = Rs. 42000, Time of B = 12 months. Total Profit = Rs. 21125. Formulas: Profit Share = Investment × Time period | Total Profit = Sum of individual shares.

⇒ Profit of A : Profit of B = (28000 × 8) : (42000 × 12) ⇒ Profit of A : Profit of B = 224000 : 504000 ⇒ Dividing both by 56000: Ratio = 4 : 9 ⇒ B share = (Ratio of B ÷ Sum of Ratios) × Total Profit ⇒ B share = (9 ÷ 13) × 21125 ⇒ B share = 9 × 1625 = 14625

∴ The correct answer is Rs. 14625.

Additional Information

Partnership Basics

In a partnership, the profit is always distributed in the ratio of the product of Capital and Time.

Types of Partnership

1. Simple Partnership: When investments are for the same duration. 2. Compound Partnership: When investments are for different time periods.

Given:

Diagonal of square = 14 cm

Formula used:

Diagonal of a square (d) = a√2

And area of square = a² = d²/2

Where ‘a’ is the side of the square

Calculation:

Area of square = (14)²/2

∴ Area of square = 196/2 = 98 cm²

Given:

Principal = Rs. 10640

Simple interest = Rs.3724

Rate = 5%

Formula used:

Simple interest (SI) = Principal (P) × Rate (r) × Time (x)/100

SI = (P × r × x)/100

Where x is in years

Calculation :

3724 = 10640 × 5 × (x)/100

⇒ x = 7448/1064

∴ x = 7 years

Given:

A can make the chair in days = 40

B can make the same chair in days = 24

Concept:

In this type of question always imagine the total work as LCM of time taken by individuals to perform the work.

Formula used:

Efficiency = Total work/Time taken

Calculation:

Let the total work be LCM of 40, 24 i.e. 120 unit

Efficiency of A = 120/40 = 3 unit/day

Efficiency of B = 120/24 = 5 unit/day

If they work on alternate days starting from A their 2 days work

= 3 + 5 = 8 unit

i.e. 8 units of work completed in 2 days

So, (8 × 15) = 120 units of work be completed in (2 × 15) = 30 days

∴ The chair will be completed in = 30 days

Formula used:

Average = Sum of all quantities/Total number of quantities

Calculation:

35 + 39 + 41 + 46 + 27 + x = 6 × 38

⇒ 188 + x = 228

⇒ x = 228 – 188

∴ x = 40

Given:

Speed of Piyush = 8 km/hour

Takes rest for 5 min at the end of third km

Calculation:

In 56 km he will stop for times = 56/3 = 18.67

That means he will stop for 18 times

Total rest time = 18 × 5 = 90 min = 1 hour 30 min

And time taken to complete journey without rest = 56/8 = 7 hours

∴ Time taken by Piyush to complete the journey = 7 + (1 hour + 30 min) = 8 hour 30 min

Given:

Discount = 20%

Profit = 36%

Formula used:

Cost price : Marked Price = (100 – Discount percentage) : (100 + Profit percentage)

Calculation:

Cost price : Marked price = (100 – 20) : (100 + 36) = 80 : 136 = 10 : 17

Let the cost price be 10x and marked price be 17x

Difference between marked price and cost price = 7x

∴ Percentage from which MP is greater than CP = (7x/10x) × 100 = 70%

ALTERNATE SOLUTION:

Let the ratio between MP and SP be after 20% discount = 5 : 4

Ratio between CP and SP after 36% profit = 50 : 68

⇒ SP must be same in both transaction so, new ratio of MP to CP = 85 : 50

∴ Percentage from which MP is greater than CP = [(85 – 50)/50] × 100 = 70%

Concept:

If the average of n numbers is N and x is subtracted from each numbers then the new average will

be (N – x)

And if the average of n numbers is N and x is added to each numbers then the new average will be

(N + x)

Formula used:

Average = Sum of all numbers/Total numbers

Calculation:

According to question,

A = (N₁ + N₂ + N₃ + N₄ + N₅ + N₆)/6

⇒ 6A = N₁ + N₂ + N₃ + N₄ + N₅ + N₆

If 5 is subtracted from each number then

New average = (N₁ – 5 + N₂ – 5 + N₃ – 5 + N₄ – 5 + N₅ – 5 + N₆ – 5)/6

⇒ New average = (N₁ + N₂ + N₃ + N₄ + N₅ + N₆ – 30)/6

∴ New average = (6A – 30)/6 = A – 5

Given:

Sumit investment = Rs. 45000

Ravi investment = Rs. 81000

Puneet investment = Rs. 90000

Total profit = Rs. 4800

Profit given in charity = 30% of 4800 = 1440

Formula used:

Profit ratio = Investment ratio × Time (in months)

Calculation:

Person Sumit Ravi Puneet

Investment (in Rs.) 45000 : 81000 : 90000

Investment Ratio 5 : 9 : 10

Time (in months) 12 : 12 : 12

Profit ratio 5 : 9 : 10

Profit share distributed in Sumit, Ravi, and Puneet = 4800 – 1440 = 3360

∴ Share of Sumit = 5 × (3360/24) = Rs. 700

Given:

Cost price = 70% of Selling price

Formula used:

Profit = Selling price – Cost Price

Profit percentage = (Selling price – Cost price) × 100/Cost Price

Calculation:

Let the selling price be 100

So cost price = 70

Profit = 100 – 70 = 30

∴ Profit percentage = 30 × (100/70) = 300/7 = 42.86%

Let CP : SP = 7 : 10

⇒ Profit% = (3/7) × 100

∴ Profit = 42.86%

Concept Used:

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

Calculation:

⇒ $\frac{{4 \div 2; + ;2 - \frac{1}{2}; \times ;\frac{1}{4}}}{{8 - 3 \div \frac{1}{4}; + ;6}}$

⇒ $\frac{{2; + ;2 - \frac{1}{8}}}{{8 - 12; + ;6}}$

⇒ $\frac{{4 - 1/8}}{2}$

⇒ 31/16

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

Step - 1 : Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS

rule in the bracket.

Step - 2 : Any mathematical 'Of' or 'Exponent' must be solved next.

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

Step - 4 : Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction'

should be calculated.

Given expression is

⇒ $6\frac{1}{2} + 80 \div 40 - \frac{{30}}{7};of;\left( {5 - \frac{1}{3}} \right)$

⇒ $\frac{{13}}{2} + 2 - \frac{{30}}{7};of\frac{{14}}{3}$

⇒ $\frac{{13}}{2} + 2; - 20$

⇒ –23/2

Formula used:

If the number of observations (n) is odd then the median is the value at position (n + 1)/2

And if the number of observations (n) is even then

1. Find the value at position n/2
2. Find the value at position n/2 + 1

Find the average of these two values to get the median

Calculation:

Writing the given data in the form of a series

5, 15, 15, 15, 20, 20, 20, 20, 25, 25, 30, 35, 40, 40

Number of observation (people) = 14

So n/2 = 7^th position value = 20

And n/2 + 1 = 8^th position value = 20

∴ Median = (20 + 20)/2 = Rs. 20

Important Points

Median 

If the number of observations (n) is odd then the median is the value at position (n + 1)/2

If the number of observations (n) is Even then the median is the value at position (n/2th + (n/2 + 1)th)/2

Always data set in the Ascending order.

Given:

Price of 324 toffees = Rs. 486

Formula used:

Cost price (CP) × (100 + Profit)/100 = Selling Price

Calculation:

Cost price of 1 toffee = 486/324

So in Rs. 486/324 toffee purchased = 1

In Rs. 90 toffee purchased at Cost price = 324 × (90/486)

For 50% profit toffee sold in Rs. 90

⇒ 324 × 90/486 × (100/150)

⇒ 40

∴ The required answer is 40.

Cost price of 324 toffees = Rs 486

Cost price of 1 toffees

⇒ 486/324 = Rs. 1.5

Selling 50% profit 

Selling price of 1 toffee

⇒ (150/100)× 1.5

⇒ Rs. 2.25

Then, The number of toffee in Rs. 90

⇒ 90/2.25 = 40

∴ The required answer is 40.

Given:

x : y = 6 : 5

And z : y = 9 : 25

Calculation :

x/y = 6/5     ---- (i)

And z/y = 9/25

⇒ y/z = 25/9     ---- (ii)

Multiply equation (i) and (ii) we get,

(x/y) × (y/z) = (6/5) × (25/9)

⇒ x/z = 10/3

∴ x : z = 10 : 3

Alternate Method 

x : y = 6 : 5     ----- (i)

And z : y = 9 : 25     ---- (ii)

As y is in both the ratios, Multiply (i) × 5 to make equal value of y in both the ratios

x : y = (6 : 5) × 5 = 30 : 25    ---- (iii)

from (ii) and (iii), Since y is same in both the ratios

x : z = 30 : 9 = 10 : 3

Given:

LCM = 60

HCF = 4

Sum of numbers = 32

Formula used:

Product of two numbers = LCM × HCF

Calculation:

Let the two numbers be x and y

So,

xy = LCM × HCF = 60 × 4 = 240      --- (1)

x + y = 32     ---(2)

We know that,

(x – y)² = (x + y)² – 4xy

⇒ (x – y)² = 32² – 4 × 240

⇒ (x – y)² = 1024 – 960

⇒ (x – y)² = 64

⇒ x – y = 8

∴ Difference of these two numbers = 8

Calculation:

From the bar graph the percentage of sugar in sweet S3 = 16%

∴ Amount of sugar used in sweet S3 = 16% of 450 = 72 kg

Calculation:

From the line chart,

Ratio of imports to exports in year Y5 = 0.95

⇒ Imports/Exports = 0.95

⇒ 76000/Exports = 0.95 = 95/100 = 19/20

⇒ Exports = 76000 × 20/19

∴ Exports = Rs. 80000 crore

Given:

Area of circle = 2464 cm²

Formula used:

Perimeter of circle = 2πR

Area of circle = πR²

Perimeter of square = 4a

Area of square = a²

Where ‘a’ is the side of the square and ‘R’ is the radius of the circle

Calculation:

According to the question,

Perimeter of square = Perimeter of circle

⇒ 4a =  2πR

⇒ a = πR/2

And πR² = 2464

Area of square = a² = π²R²/4

⇒ π × (πR2/4)

⇒ (22/7) × (2464/4)

⇒ (22/7) × 616

⇒ 88 × 22 = 1936 cm2

∴ The area of square = 1936 cm²

As the given data in line chart are the ratios of imports to exports of different years so we cannot

compare the exports and imports of two different years.

∴ The data given is not sufficient to answer the question.

The correct answer is option 3), i.e., Against militants in POK.

Key Points

• The sentence uses the incorrect preposition 'towards'.
• As it talks about the 'strike' by Indian army; the preposition should show this opposition/ conflict between two parties.
• Let's look at how the given prepositions are used:
• Towards- expressing the relation between behaviour and the thing at which it is directed. Example: He was always warm towards her.
• For- indicating the purpose of something. Example: The flowers are for you.
• Over- showing the trajectory or duration of something. Example: The people were scattered all over the mountain.
• Against- in opposition to. Example: It is the job of the police to fight against crime.

Important Points

• Given the above context, only the preposition 'Against' is appropriate here.

Thus, the rectified sentence is: The movie Uri tells the story of a surgical strike by the Indian army against militants in POK.

The correct answer is Option 2), i.e., Which is most.

Key Points

• The sentence uses the incorrect form 'which is most'.
• The sentence uses the superlative degree of adjective 'most attractive', for the noun Qutub Minar.

​

Important Points

• Adjective Rule: Superlative degree of an adjective is always preceded by the article 'The'. Example: You are the best friend I have ever had.
• So, here, there should be the article 'The' used before the adjective.

Additional Information

• Using the article 'The' gives superlative adjective the specificity of being the best, out of all others of its nature.

Thus, the rectified sentence is: They visited the Qutub Minar, which is the most attractive spot in Delhi.

The correct answer is option 2), i.e., In repair.

​Explanation:

• The error lies in option 2, which uses the incorrect preposition 'in'.
• The preposition 'In' refers to something that is surrounded by something else. Example: London is in England.
• Important Point:
• Here, the sentence is talking about the road being 'in the process of' being repaired.
• So, the correct preposition here should be 'under', which forms the phrase 'under repair'.
• Under- showing an ongoing process of something. Example: The house is under construction.

​

Thus, the rectified sentence is: The road was blocked since it was under repair.

The correct answer is option 4, i.e., Lobby.

Explanation:

Foyer means an entrance hall or other open area in a building used by the public, especially a hotel or theatre.

Let's look at the meanings of the given options:

Kitchen- a room or area where food is prepared and cooked. 

Verandah- a roofed platform along the outside of a house, level with the ground floor.

Bedroom- a room for sleeping in.

Lobby- a room providing a space out of which one or more other rooms or corridors lead, typically one near the entrance of a public building.

Out of these, only Lobby is an appropriate synonym for Foyer.

The correct answer is option 3, i.e., Epilogue.

Key Points:- 

• Let's look at the meanings of the given options:
• Eulogy- a speech or piece of writing that praises someone or something highly, especially a tribute to someone who has just died. (एक भाषण या लेखन का टुकड़ा जो किसी की प्रशंसा करता है या बहुत कुछ, विशेष रूप से किसी ऐसे व्यक्ति को श्रद्धांजलि जो अभी-अभी मरा है)
• Prologue- a separate introductory section of a literary, dramatic, or musical work. (एक साहित्यिक, नाटकीय या संगीत कार्य का एक अलग परिचयात्मक खंड)
• Epilogue- a section or speech at the end of a book or play that serves as a comment on or a conclusion to what has happened. (एक पुस्तक या नाटक के अंत में एक खंड या भाषण जो कि जो हुआ है उस पर टिप्पणी या निष्कर्ष के रूप में कार्य करता है)
• Chorus- a part of a song or hymn that is repeated every so often. (एक गीत या भजन का एक हिस्सा जिसे हर बार दोहराया जाता है)
• Out of these, only Epilogue shows the meaning intended by the given group of words.

The correct answer is option 4), i.e., Curator.

Explanation:

The blank is used after the article 'the' and before the preposition 'of', which means the blank should contain a noun.

The noun should also mean an authority/knowledgeable figure related to a museum.

Let's look at the meanings of the given options:

Controller- a person or thing that directs or regulates something.

Conservator- a person responsible for the repair and preservation of things such as buildings or works of art. 

Collector- a person who collects things of a specified type, professionally or as a hobby.

Curator- a keeper or custodian of a museum or other collection.

Out of these, only 'Curator' is appropriate here, given the context.

Thus, the complete sentence is: The Curator of the museum showed us some ancient coins.

The correct answer is option 2, i.e., Saving money.

​Explanation: 

• Cutting corners means to save money or effort by finding cheaper or easier ways to do something.
• Example: The report found out that the fault was cutting corners in raw material acquisition.
• The phrase is derived from not taking the sharp turn at the corner of a road by a vehicle; and instead taking a smaller inner turn which saves effort and money

The correct answer is option 3 i.e. Strict.

Key Points

• Let's look at the following points-
• Lenient- means (of punishment or person in authority) more merciful or tolerant than expected. ((दंड या अधिकार में व्यक्ति) अपेक्षा से अधिक दयालु या सहनशील)
• Strict-  (of a rule or discipline) demanding total obedience or observance; rigidly enforced. (एक नियम या अनुशासन का) पूर्ण आज्ञाकारिता या पालन की मांग करना; सख्ती से लागू किया गया)
• Hence, both options i.e. Lenient and Strict express opposite meanings.

Additional Information

Now, let's look at the following points-

• Generous- showing a readiness to give more of something, especially money, than is strictly necessary or expected. (कड़ाई से आवश्यक या अपेक्षा से अधिक, विशेष रूप से धन देने के लिए तत्परता दिखाना)
• Helpful- giving or ready to give help. (मदद देने के लिए तैयार)
• Defensive- used or intended to defend or protect. (बचाव या रक्षा के लिए इस्तेमाल या इरादा)

Thus, the correct option is Strict and therefore the answer.

The correct answer is option 2), i.e., C

​ Explanation:

• The error lies in option 2, which uses the incorrect preposition 'from'.
• From- used to indicate the source of an event. Example: The train came from London.
• Important Point:
• The sentence talks about the necessity regarding spectacles.
• In this case, the correct preposition here should be 'of'.
• Of- indicating an association between two entities, typically one of belonging. Example: This is the need of the hour.

​

Thus, the rectified sentence is: She complained about her weak eyes and lamented about the necessity of spectacles.

The correct answer is A hidden favour.

Key Points:

• A blessing in disguise means an apparent misfortune that eventually has good results.

• Example: Losing my umbrella turned out to be a blessing in disguise as it led me to the library.

• The phrase suggests that sometimes even seemingly bad things may lead to something good.

• The phrase, in this form, was first used by James Hervey in his 1746 book, 'Reflections on a Flower-Garden'.

• A blessing in disguise का अर्थ एक स्पष्ट दुर्भाग्य है जिसके अंततः अच्छे परिणाम होते हैं।

• उदाहरण: Losing my umbrella turned out to be a blessing in disguise as it led me to the library.

• मुहावरा बताता है कि कभी-कभी बुरी लगने वाली चीजें भी कुछ अच्छा कर सकती हैं।

• इस रूप में वाक्यांश, पहली बार जेम्स हर्वे द्वारा अपनी 1746 की पुस्तक 'रिफ्लेक्शंस ऑन ए फ्लावर-गार्डन' में इस्तेमाल किया गया था।

The correct answer is option 1), i.e., Can understand them.

Key Points

• The sentence uses the incorrect singular pronoun 'it'.
• The subject here is the plural 'questions', to which the pronoun is referring.
• Important Point:
• The pronoun, then, must also be in its plural form, which is 'them'.

Thus, the rectified sentence is: The questions are so simple that a child can understand them.

The correct answer is Concave.

Key Points

Convex means having an outline or surface that is curved outward like the exterior of a circle or sphere. (एक रूपरेखा या सतह जो एक वृत्त या गोले के बाहरी भाग की तरह बाहर की ओर घुमावदार होती है)

So, its opposite meaning must be something that is curved inwards.

Additional Information

• Let's look at the meanings of the given options:
• Opaque- not able to be seen through; not transparent. (के माध्यम से देखने में सक्षम नहीं)
• Dense- closely compacted in substance. (पदार्थ में बारीकी से संकुचित)
• Concave- having an outline or surface that curves inwards like the interior of a circle or sphere. (एक रूपरेखा या सतह जो एक वृत्त या गोले के आंतरिक भाग की तरह अंदर की ओर झुकती है)
• Transparent- allowing light to pass through so that objects behind can be distinctly seen. (प्रकाश को गुजरने देना)
• Out of these, only Concave is an appropriate antonym for Convex.

The correct answer is option 3, i.e., Embarrassment.

​Explanation:

• Out of the given options, only option 3 shows the correct spelling of the noun 'Embarrassment'.
• Embarrassment means a feeling of self-consciousness, shame, or awkwardness.
• Example: I wanted to say something, but could not do anything because of embarrassment.

The correct answer is option 3, i.e., Hierarchy.

Key Points

• Out of the given options, only option 3 shows the correct spelling of the noun 'Hierarchy'.
• Hierarchy means a system in which members of an organization or society are ranked according to relative status or authority. (एक ऐसी प्रणाली जिसमें किसी संगठन या समाज के सदस्यों को सापेक्ष स्थिति या अधिकार के अनुसार क्रमबद्ध किया जाता है)
• Example: The caste system in India was a system of hierarchy that preyed on the lower classes.

The correct answer is option 4), i.e., Respect.

Key Points

The sentence suggests that the blank must contain a noun, as it is used after the adjective 'greatest'.

The noun should also be an emotion that can be 'shown' to her.

Let's look at the meanings of the given options:

Praise- express warm approval or admiration of. Example: They showered him with praise.

Tribute- an act, statement, or gift that is intended to show gratitude, respect, or admiration. Example: The song was a tribute to the legend.

Honour- high respect; great esteem. Example: It was a matter of honour for the court.

Respect- a feeling of deep admiration. Example: He showed great respect towards his teachers.

Although the options show similar meanings; only 'Respect' can be used with the verb 'showed'.

Thus, the complete sentence is: They showed her the greatest respect.

The correct answer is option 1, i.e., Hymn.

Key Points:- 

• Let's look at the meanings of the given options:
• Hymn- a religious song or poem of praise to God or a god. (एक धार्मिक गीत या भगवान की स्तुति की कविता)
• Elegy- a poem of serious reflection, typically a lament for the dead. (गंभीर प्रतिबिंब की कविता, आमतौर पर मृतकों के लिए विलाप)
• Ode- an elaborately structured poem praising or glorifying an event or individual. (किसी घटना या व्यक्ति की प्रशंसा या महिमामंडन करने वाली एक विस्तृत रूप से संरचित कविता)
• Epic- a long poem, narrating the deeds and adventures of heroic or legendary figures or the past history of a nation. (एक लंबी कविता, वीर या महान शख्सियतों के कारनामों और रोमांच या किसी राष्ट्र के पिछले इतिहास का वर्णन करती है)
• Out of these, only Hymn shows the meaning intended by the given group of words.

The correct answer is option 2), i.e., Is old and needs.

Key Points

Let's look at the following points-

• The sentence uses the incorrect plural verbs 'are and need'; which is incorrect.
• The subject 'Furniture' is an uncountable noun; so it is always used in its singular form.
• Important Point:
• Subject-Verb Agreement Rule: A singular subject takes singular verbs while a plural subject uses a plural verb. Example: She goes. (Singular) They go. (Plural)
• Since 'Furniture' is singular, the corresponding verbs must also be the singular forms 'is' and 'needs' respectively.

 Extra-Bite:

• When using the plural form of Furniture, we say 'pieces of furniture'.
  

Thus, the rectified sentence is: The furniture in this room is old and needs to be replaced.

The correct answer is option 2, i.e., Productive.

Key Points

• Fruitful means producing good or helpful results; productive. (अच्छे या सहायक परिणाम देना; उत्पादक)
• Let's look at the meanings of the given options:
• Useless- not fulfilling or not expected to achieve the intended purpose or desired outcome. (इच्छित उद्देश्य या वांछित परिणाम को प्राप्त करने के लिए पूरा न करना या अपेक्षित न होना)
• Productive- producing or able to produce large amounts of goods, crops, or other commodities. (बड़ी मात्रा में वस्तुओं, फसलों या अन्य वस्तुओं का उत्पादन या उत्पादन करने में सक्षम)
• Barren- (of land) too poor to produce much or any vegetation; fruitless. (बंजर; निष्फल)
• Juicy- (of food) full of juice; succulent. ((भोजन का) रस से भरा हुआ; रसीला)
• Out of these, only Productive is an appropriate synonym for Fruitful.

The correct answer is option 4), i.e., Who.

​Explanation: