SSC GD Constable Previous Year Paper (Held on: 6th March 2019 Shift 1)

We cut by our teeth.

Similarly, we walk by our legs.

Hence, option 1 is the correct answer.

The logic followed here is:

2³ + 2 = 10

3³ +3 = 30

Similarly, 

4³ + 4 = 68

5³ +5 = 130

10 : 30 :: 68 : 130

Hence, option 4 is the correct answer.

Celsius is the unit of Temperature.

Similarly, Kilometer is the unit of Distance.

Hence, option 1 is the correct answer.

Following figure will complete the figure given in question :

The final figure is :

Hence, option 2 is the correct answer.

Bhagavad Gita is the holy book of Hindu, Bible is the holy book of Christian and Quran is the holy book of Islam but Jewish is the name of religion.

So Jewish is different from others.

Hence, option 4 is the correct answer.

The mirror image is given bellow -

Hence, option 1 is the correct answer.

ROSEBERRY is related to SEBERRYRO -

Similarly, BEAUTIFUL is related to -

BEAUTIFUL is related to AUTIFULBE.

Hence, option 3 is the correct answer.

When opened, the figure will appear as :

Hence, option 4 is the correct answer.

Brothers- P, Q, R and S.

Hotel rooms numbered- 301, 302, 303 and 304.

Sum of room numbers of P and R is 603. This means room number 301 and 302 is booked by P and R, not necessarily in the same order.

The sum of room numbers of R and S is 604. This means room number 301 and 303 is booked by R and S, not necessarily in the same order.

From the above statements, it is clear that R booked room number 301, P booked room number 302 and S booked room number 303.

Therefore, room booked by Q is 304.

Sum of room numbers booked by P, Q and R = 302 + 304 + 301 = 907

Hence, option 1 is the correct answer.

Option 3 has two vowels. Other options have only one vowel.

Hence, option 3 is the correct answer.

The diagram are given bellow

I. Some socks are shirts.→ True 

II. No shirt is red. → False (It is possible but not definite)

Hence, option 2 is the correct answer.

If PT is written as 8-10 that means place value of P = 16 is divided by 2 we get first value = 8 and place value of T = 20 is divided by 2 we get second value = 10.

P = 16/2 = 8

T = 20/2 = 10

Similarly, NLR is written as 

Place value of N = 14 is divided by 2 we get first value = 7, place value of L = 12 is divided by 2 we get second value = 6 and place value of R = 18 is divided by 2 we get third value = 9.

NLR is written as 7-6-9.

Hence, option 4 is the correct answer.

The logic followed here is :

Hence, option 4 is the correct answer.

The circle moves one position and two positions alternately in anti clockwise direction. The square moves two positions and one position alternately in anti clockwise direction. The number of dots in the figure increases from 3 to 4 then to 5; again three to four. So, in the answer figure, the number of dots will be five. So the next figure is -

Hence, option 2 is the correct answer.

Sum of digits of 2348 is 17, which is a prime number.

Sum of digits of option 1, 2 and 3 is not a prime number.

Hence, option 4 is the correct answer.

Person -A, M, P, D, Q, R, W and B.

D is fourth to the left of A who is third to the right of M.

P is third to the left of Q who is third to the left of M.

R is third to the right of W who is second to the right of B.

AB is the second person sitting to the immediate right of the first person.

Hence, option 1 is the correct answer.

Given figure are 

After checking option 1, 2, 3 and 4 we get :

Hence, option 1 is the correct answer.

In this figure shows that

9 painters are neither doctors nor players.

Hence, option 2 is the correct answer.

The diagram given bellow

I. Some Retina are Cornea → True 

II. Some Retina are Iris → False (It is possible but not definite)

III. Some Lens are Iris → False (It is possible but not definite)

IV. Some Cornea are Retina → True

Hence, option 1 is the correct answer.

The logic followed is :

14² + 16² = 196 + 256 = 452

Similarly,

13² + 17² = 169 + 289 = 458.

Hence, option 2 is the correct answer.

Option 1 :530 ÷ 2 + 3 - 5 = 800

Applying BODMAS rule

265 + 3 - 5 = 800

263 = 800

This is wrong.

Option 2 : 530 ÷ 2 - 3 - 5 = 800

265 -8 = 800

258 = 800

This is also wrong.

Option 3 : 530 ÷ 2 × 3 + 5 = 800

265 × 3 + 5 = 800

795 + 5 = 800

800 = 800

This is correct.

Hence, option 3 is the correct answer.

The given series -

2, 7, 5, 10, 8, 13, ?

The logic followed is :

The next number of the series is 11.

Hence, option 2 is the correct answer.

The given series-

AB, BA, ABC, CBA, ABCD, ?

First is AB, then reverse the order BA, then reverse the order and add C i.e. ABC and so on

The next step is DCBA.

Hence, option 1 is the correct answer.

Boys- A, B, C, D

Girls - P,Q, R. S

A is to the immediate left of R, who is opposite to Q.

P and Q have only C between them.

P is opposite to S. who is to the immediate right of B.

If B is the only person between R and S,

C is opposite B.

Hence, option 3 is the correct answer.

In a certain code, TIM is coded as RGK.

Similarly,  PAINE coded in the same way-

PAINE is coded as NYGLC.

Hence, option 4 is the correct answer.

The correct answer is Rs. 24 lakh crore.

• As per AUM as on 30 November 2018, manages assets worth Rs.24,03,134 crore.
• Average Assets Under Management (AAUM) of Indian Mutual Fund Industry for the month of October 2020 stood at ₹ 28,33,890 crore.
• The Industry’s AUM had crossed the milestone of ₹10 Trillion (₹10 Lakh Crore) for the first time in May 2014.
• There are 44 asset management companies (AMCs) or mutual fund houses operating in India.

Key Points

• A mutual fund collects money from investors and invests the money on their behalf in the financial market.
• SEBI is the regulatory body of mutual funds.
• TER or Total Expense Ratio is a percentage of a scheme's corpus that a mutual fund house charges towards expenses including administrative and management.

The correct answer is Australia.

• The ICC Under-19 Cricket World Cup 2018 was held in New Zealand from 13 January to 3 February 2018.
• India won the ICC under 19 world cup 2018 and it was India's fourth title.
• Shubham Gill became the player of the series.
• It was the twelfth edition of the ICC World Cup 2018.
• New Zealand hosted this event three times in 2002, 2010, and 2018.
• There are 10 teams that qualified automatically for the tournament along with this Namibia also qualified automatically as the highest-ranked associate member.

Key Points

• The next ICC World Cup of Under 19 will be held in 2020 in South Africa.
• 2016 ICC Under 19 World Cup was held in Bangladesh.

The correct answer is Madai.

• The Charama and Kurna communities of the Kanker district, tribes of Bastar, celebrates the Madai Festival in the state of Chhattisgarh.
• People of Bhanupratappur, Narayanpur, Kondagaon, Pakhanjore, and Antagrah also celebrate this festival.

Additional Information

• Bastar Dussehra is also the festival of Chhattisgarh.
• Sarhul is the festival celebrated in the Jharkhand region.
• Pulikkali is a recreational folk art from the state of Kerala.
• Minjar Mela is celebrated in the Chamba district of Himachal Pradesh.

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Important Points

• Bhula, Chhath Pooja, Madhushravani are the festivals of Bihar.
• Magha Sanji is known as Makar Sankranti of Himachal Pradesh.
• Kumbh Mela, Kicheri are the famous festival of Uttar Pradesh.

The correct answer is Tanaji Malusare.

• Tanaji Malusare was a military assistant of Maratha King Shivaji.
• The Sinhagad fort also known as the Kondhana fort.
• The battle was fought between Tanaji Malusare, from the Shivaji side, and UdayBhan Singh Rathore, from Mughal emperor Aurangzeb side.
• The battle of Kondhana was fought on 04 Feb 1670 on the fort of Sinhabad.

Additional Information

• A local poet Tulsidas wrote a powada describing Tanaji's heroics and sacrifice of life in the Battle of Sinhagad.
• Gad ala pan sinh gela, a Marathi novel by Hari Narayan Apte was written in 1903, based on his life.

The correct answer is 5150 per quintal.

• The MSP is the rate at which the government buys grains from farmers.
• The MSP is fixed on the recommendations of the Commission for Agricultural Costs and Prices (CACP).
• On 18th November 2004, the Union government formed the National Commission on Farmers (NCF) with MS Swaminathan as its chairman.

The factors taken for MSP consideration are:

• Demand and supply, Cost of production, Price trends in the market, both domestic and international,  Inter-crop price parity, Terms of trade between agriculture and non-agriculture, A minimum of 50% as the margin over the cost of production etc.

Additional Information

• MSP is announced before harvesting of crops.
• Cabinet Committee of Economic Affairs announces MSP on the recommendation of CACP.
• 2020-21 MSP for Kharif crops are-
• Nigerseed - Rs. 755 per quintal
• Seasum - Rs 370 per quintal
• Urad - Rs 300 per quintal
• Cotton of long-staple - Rs. 275 per quintal.

The correct answer is the Bahujan Samaj Party.

• The Bahujan Samaj Party was founded by Kanshi Ram in 1984 and now Mayawati is the leader of this Party.
• In Uttar Pradesh, The BSP has its main base and it was the second-largest party in the 2019 Indian general election.
• National Congrees Party was founded in 1885 by A.O. Hume and its symbol is a picture of an open hand.
• Bhartiya Janta Party was founded on 6th April 1980  and its symbol is the lotus.
• The Rashtriya Janata Dal is a Bihar state base Party and it was founded in 1997 by Lalu Prasad Yadav and its symbol is Lantern.
• The Communist Party of India was formed in 26 December 1925 at Kanpur.
• The symbol of CPI is a hammer and sickle.

Additional Information

Major political parties and their symbols are as below-

The correct answer is Diana Hayden.

• 1997 was the 47^th edition of the Miss World pageant, which was held in Baie Lazare, Seychelles on 22 November 1997.
• Reita Faria won the Miss World title in 1966. She is the first Asian woman to win this event.
• Tara Anne Fonseca is an Indian model and winner of Miss Asia Pacific 1973 contest.
• Zeenat  Aman won the Asia Pacific Femina Miss India in 1970.

Important Points

• India contributed 6 Miss Worlds-
• Aishwarya Rai - 1994
• Reita Faria - 1966
• Diana Hayden - 1997
• Yukta Mookhey - 1999
• Priyanka Chopra - 2000
• Manushi Chillar - 2017

The correct answer is Ram Prasad Bismil and Ashfaqulla Khan.

• In Kakori Conspiracy, Ram Prasad Bismil, Ashfaq Ullah Khan, Thakur Roshan Singh, and Rajendra Lahiri were hanged by Britishers.
• Sachindra Bakshi and Shachindra Nath Sanyal were jailed in Port Blair, Andaman & Nicobar Islands.
• The Kakori Conspiracy was an armed robbery that took place on 09 August 1925 on a train in Uttar Pradesh.

Additional Information

• Kakori Conspiracy is also known as Kakori Train Action.
• The raiders of the Kakori Conspiracy formed a group, named Hindustan Republican Association (HRA).
• The HRA was renamed in 1928 as Hindustan Republican Socialist Association. Bhagat Singh, C Azad, Battukeshwar Dutt, Rajguru, and Sukhdev were associated with it.

The correct answer is Punjab.

Key Points

• Bhaṅgṛa is a type of traditional dance that originated in Sialkot in the Majha area of Punjab.
• Lavani, Nakata, Koli, Lezim, Gafa, Dahikala Dasavtar dances are famous in Maharashtra.
• Ghumar, Chakri, Ganagor, Jhulan Leela, Jhuma, Suisini, Ghapal are famous dance forms of Rajasthan.

Important Points

• Savari, Ghumara, Painka, Munari are famous Odisha dance forms.
• Hojagiri is a dance form of Tripura state.
• Garhwali, Kumayuni, Kajari, Jhora, Raslila are dance form of Uttarakhand.
• Nautanki, Raslila, Kajri, Jhora, Chappeli are dance forms of Uttar Pradesh.

The correct answer is option 1.

• T=2π√L/g is the time period of a simple pendulum. here L is the length of the pendulum and g is the acceleration due to gravity.
• Simple Pendulum -A mass suspended from a light string that can oscillate when displaced from its rest position.

Additional Information

Concept:

• Note that when we compare two simple pendulums, one with 1 kg of a bob attached and the other with 100 of a bob attached with the same length of rope, then their time period will be the same because the Time period does not depend upon the mass of the bob.

Key Points

• The amplitude of Simple Pendulum is the maximum displacement on either side of the mean position, which is called amplitude.
• Oscillation is the motion from one extreme to another extreme, is called one oscillation. Thus, one oscillation is half vibration.

The correct answer is 92^nd Constitution Amendment Act of 2003.

Key Points

• Bodo, Dogri, Maithili, and Santhali were added by the 92^nd Amendment Act of 2003.
• The Sindhi language was added in the 8^th schedule by the 21^st Amendment Act of 1967.
• Konkani, Manipuri, and Nepali were added by the 71^st Amendment Act of 1992.
• Part XVII of the Indian constitution deals with the official languages in articles 343 to 351.

Additional Information

• 73^rd Constitutional Amendment Act came in 1992 and it gave constitutional status to the three-tier structure of Panchayati Raj Institutions.
• 101^st Constitutional Amendment Act, 2016 applied GST throughout the country form 1 July 2017.
• 103^rd Constitutional Amendment Act, 2019 gave 10% reservation to Economically weaker section.

The correct answer is Betwa.

• The Betwa River is in northern India and a tributary of the Yamuna.
• It rises in the Vindhya Range just north of Hoshangabad in Madhya Pradesh.
• It flows northeast through Madhya Pradesh and Orchha to Uttar Pradesh.
• The confluence of the Betwa and the Yamuna rivers is the Hamirpur district in Uttar Pradesh.
• Rajghat Dam, Mattila Dam, Parichha Dam, and  Dhurwara Dam are the dams that are on the Betwa River.

Key Points

• Important tributaries of Krishna are Tungabhadra, Bhima, Musi, Malaprabha, Ghataprabha, Koyna, Munneru, and Nira, Venna.

The correct answer is Vinesh Phogat.

Key Points

• Vinesh Phogat beat Japan’s Yuki Irie in Women’s Freestyle 50 kg and won the gold medal which was the fifth medal of the country in the 2018 Asian games.
• She awarded from Rajiv Gandhi Khel Ratna award in 2020.
• She also awarded the Arjuna Award in 2016.

​

Additional Information

• Phogat won gold in the 2019 Yasar Dogu International by defeating Ekaterina Poleshchuk of Russia.
• She is the first female who won gold in both Commonwealth and Asian games.

The correct answer is Australia.

Key Points

• Article 301 talks about the freedom of trade, commerce, and Exchange throughout the country.
• It states that subject to other provisions under Part XIII, the freedom to carry on these activities shall be free.
• Article 19 g of the constitution gives to practice any profession or to carry on any occupation, trade, or business.
• Section 92 of the Australian Constitution says that there should be freedom of trade, commerce, and intercourse which may be carried out by ocean navigation or internal carriage.
• India has taken the concept of freedom of trade in India's constitution from the Australian constitution.

Additional Information

• Concepts borrowed in the Indian constitution from various other constitutions of the world are as below-

The correct answer is Brahmi.

• The Edicts of Ashoka are a collection of more than thirty inscriptions on the pillars, as well as boulders and cave walls.
• The edicts describe in detail Ashoka's view about dhamma, an earnest attempt to solve some of the problems that a complex society faced.
• These edicts were deciphered by British archaeologist and historian James Prinsep.
• These inscriptions proclaim Ashoka's adherence to the Buddhist philosophy which, as in Hinduism, is called dharma, "Law".

Key Points

• The inscriptions of Ashoka are found with the following scripts:
• Magadhi Prakrit using Brahmi Script - in the central and eastern part of India
• Prakrit using Kharoshti script - in north and northwest
• Greek and Aramaic - in northwest India

Important Points 

Ashokan inscriptions are classified as below:

• Major Rock Edicts: 14 Edicts and 2 separate ones found in Odisha; in Prakrit and Greek.
• Major Pillar Edicts: 7 Edicts, inscribed at the end of Ashoka's reign; in Prakrit.
• Minor Rock Edicts: Edicts inscribed at the beginning of Ashoka's reign; in Prakrit, Greek and Aramaic.
• Minor Pillar Edicts: Schism Edict, Queen's Edict, Rummindei Edict, Nigali Sagar Edict; in Prakrit.

The correct answer is Deltoids.

• The deltoid muscle is located over shoulder joints or glenohumeral joints and are large, triangular-shaped muscle.
• It is also known as the 'common shoulder muscle'.
• The deltoid muscle is forming the round shape of human shoulder.
• Deltoids appears to be made up of three sets of fibres :
• Anterior
• Posterior
• Intermediate

Key Points

The function of Deltoid-

• When all its fibers contract simultaneously, the deltoid is the prime mover of arm abduction along the frontal plane.

​

Additional Information

• The stapedius is the smallest skeletal muscle in the human body.
• The Largest muscle of the human body is the Gluteus maximus.
• The Longest muscle of the human body is Femur.
• The Strongest muscle of the human body is Jaw Muscle.

The correct answer is German Silver.

Important Points

The correct answer is the National Livelihood Mission.

• National Rural Livelihood Mission is a poverty alleviation project implemented by the Ministry of Rural Development.
• On 25 September 2015, the Scheme was succeeded by Deen Dayal Antyodaya Yojana or NLM-DAY.
• This program is supported by the World Bank.

​

Additional Information

• On 11 November 2020, the central govt. announced a new scheme- Operation Green in which 50 % subsidy provided to North-Eastern states for air transportation of notified fruits and vegetables.
• Another Operation Green scheme was launched with an outlay of Rs. 500 crore for integrated development of Tomato, Onion and Potato (TOP) value chain.
• The Saubhagya Scheme or Pradhan Mantri Sahaj Bijli Har Ghar Yojana is a Project of the Indian government that provides electricity to the households.
• According to Pradhanmantri Ujjwala Yojana, Central Govt. gave the LPG connections for poor people.

The correct answer is Dantidurga.

• The Samangadh copper plate gives proof that King Dantidurga defeated the Chalukyas of Badami.
• Dantidurga defeated the Chalukyas in 753AD and took the titles Rajadhiraja and Parameshvara.
• His capital was situated in the Gulbarga area of Karnataka.
• Dantidurga was the founder of the **Rashtrakuta Empire of Manyakheta.**​

Important Points

• Dantidurga also known as Dantivarman or Dantidurga 2.
• The first ruler of the Rashtrakuta dynasty was Dantidurga and the last ruler of this dynasty was Krishna 3.

The correct answer is Carbon dioxide.

• The atmosphere of Mars is mostly composed of 95.32 % Carbon dioxide.
• 2.6 Percent of Molecular nitrogen and 1.9 per cent of Argon are also present in the Mars Atmosphere.
• Methane, Sulfur dioxide is also present in the Mars atmosphere.
• It also contains trace levels of water vapour, oxygen, carbon monoxide, hydrogen, and other noble gases.

Important Points

• The surface pressure of Mars is 610 Pascals and its gravity is 1/3rd of earth.
• One Martian day equals 24 hours 37 minutes.
• Mars has two moons viz. Phobos and Deimos.

​

Additional Information

• The Mars Orbiter Mission (MOM) or Mangalyaan, is a space probe launched by the Indian Space Research Organization on 5th November 2013.
• Mangalyaan was India's first interplanetary mission.
• MOM was launched aboard PSLV C-25.

The correct answer is Strontium.

• Strontium is the chemical element with the atomic number 38 and with the symbol Sr.
• An alkaline earth metal, strontium is a soft silver-white yellowish metallic element that is highly chemically reactive.
• Strontium belongs to the group 2 elements of the periodic table, along with Be, Mg, Ca, and Ba.
• Strontium resembles the calcium element in its properties, it is taken up and preferentially located in bones.
• Strontium is a lithophile metallic element.

Key Points

• The vertical columns on the periodic table are called groups or families because of their similar chemical behavior.
• The horizontal rows on the periodic table are called periods

​

Additional Information

Some important terms-

• Group (family): A vertical column in the periodic table.
• Alkali metals: Group 1A of the periodic table.
• Alkaline earth metals: Group 2A of the periodic table.
• Halogens: Group 7A of the periodic table.
• Noble gases: Group 8A of the periodic table.
• Transition elements: Groups 3 to 12 of the periodic table.

The correct answer is Sharadindu Bandyopadhyay.

• Saradindu Bandopadhyay authored 32 Byomkesh stories from 1932 to 1970 prior to his death**.**
• The stories are all written in traditional formal Bengali language.
• The first story of 'Byomkesh Bakshi Stories’ was Satyanweshi in 1932.
• The last story of 'Byomkesh Bakshi Stories’ was Bishupal Bodh in 1970.

Additional Information

• The most brilliant and versatile Byomkesh Bakshi cinema is Chiriyakhana, directed by Oscar winning director Satyajit Ray.
• Saradindu Bandopadhyay published his first work, Jaubansmriti, a collection of poems in 1919.
• Kaler Mandira, GaurMallar,  Tumi Sandhyar Megh, and  Kumarsambhaber Kabi are fictions writtings of him.

The correct answer is the Zanskar Range.

Key Points:

Zoji La Pass:

• It is in the Zaskar range in the Indian union territory of Ladakh.
• The road route from Srinagar to Leh goes through this pass.
• It was formed by the Indus river.

Shortcut Trick

Himalayan Ranges from north to south-

• TRICK:- Kal Jana Padega Desh Se.
• K = Karakoram  J= Zaskar D = Dhauladhar S = Shiwalik

Main Passes tricks-

• Sikkim
• Nathuram Sikkim Jail Gaya - Nathula, and Jelep La Pass
• Himachal Pradesh
• Rohit barah bje ship lene gaya
• Rohtang Pass, Barah Pass, Shipkila Pass
• Arunachal Pradesh
• Dipu ne likha pyara patra
• Dipu La, Likhapani and Pangsan pass

https://www.dangerousroads.org/asia/india/111-zoji-la-pass-india.html

The correct answer is Peta.

• Peta was adopted as an SI prefix in the International System of Units in 1975 and has the symbol P.
• The prefix ' exa ‘ is equal to a factor of 10¹⁸.
• The prefix ' atto ‘ is equal to a factor of 10^-18.
• The prefix ' femto ‘ is equal to a factor of 10^-15.
• The prefix ' zepto ‘ is equal to a factor of 10^-21.
• The prefix ' zetta ‘ is equal to a factor of 10²¹.

Additional Information

• The list of units, their values, and symbols is as below-

The correct answer is Mahesh Bhatt and Vikram Bhatt.

• The Dadasaheb Phalke Award has the reward of 10 Lac rupees and a golden Lotus.
• The Dadasaheb Phalke Award is presented annually at the National Film Awards ceremony by the Directorate of Film Festivals.
• Directorate of Film Festivals is an organisation set up by the Ministry of Information and Broadcasting.

​

Additional Information

• It was first awarded in 1969 to Devika Rani.
• Recently in 2019, It was awarded to Mr. Amitabh Bachchan

​

Important Points

• The award was introduced by the Government of India to commemorate Dadasaheb Phalke's contribution to Indian cinema in 1969.
• Phalke was popularly known as and often regarded as "the father of Indian cinema".
• The theme of the Event 2018 was “Child Safety”.

Given:

Principal = Rs. 5000

Rate = 10%

Time = 2 years 

Formula Used:

A = P(1+r/100)^t 

C.I = A - P

Calculations :

Substituting the values in formula 

A = 5000(1+10/100)²  

A = (110 × 110)/2

⇒ A = 12100/2 

⇒ A = Rs.6050

C.I ⇒  A - P = 6050 -5000

∴ C.I = Rs. 1050

Given :

let x be the fourth proportional of  3,7 and 15 

then 3 : 7 :: 15 : x 

Concept Used:

If  a : b :: c : d

then ad = bc

d = bc/a

Calculation:

3/7 = 15/x

⇒ x = (15 × 7) / 3 

⇒ x = 35

∴ Fourth proportional of 3, 7 and 15 is 35

Given:

Marks obtained by student A in Maths = 88

Marks obtained by student B in Maths = 65

Marks obtained by student C in Maths = 72

Total marks per subject = 100

Formula Used:

Average =  Sum of the Maths Marks(A,B,C) / Number of students

Calculation:

The sum of the marks obtained by A, B, C = 88 + 65 + 72

⇒ sum = 225

Number of students = 3

Average marks = 225/3

⇒ Average marks = 75 

∴ Average Marks marks obtained by A, B, C is 75.

Shortcut Trick

CP of mixture = SP ÷ (100 + Profit%) × 100

CP of mixture = 48 ÷ 120 × 100 = ₹ 40 per kg

Ratio = (Cheaper Difference) : (Dearer Difference) = (40 − 32) : (45 − 40)

Ratio = 8 : 5

∴ The correct answer is 8 : 5.

Alternate Method

Given:

Price of Variety 1 (Dearer) = ₹ 45 per kg

Price of Variety 2 (Cheaper) = ₹ 32 per kg

Selling Price (SP) of mixture = ₹ 48 per kg

Profit percentage = 20%

Formula Used:

Cost Price (CP) = [SP × 100] / [100 + Profit%]

Alligation Rule: Quantity of Cheaper / Quantity of Dearer = (CP of Dearer − Mean Price) / (Mean Price − CP of Cheaper)

Calculations:

⇒ Mean CP = (48 × 100) / (100 + 20)

⇒ Mean CP = 4800 / 120 = ₹ 40

⇒ By Rule of Alligation:

⇒ Quantity of Bajra 1 : Quantity of Bajra 2 = (40 − 32) : (45 − 40)

⇒ Ratio = 8 : 5

∴ The correct answer is 8 : 5.

Additional Information

Rule of Alligation

It is used to find the ratio in which two ingredients at given prices must be mixed to produce a mixture of a specified mean price.

Mean Price Requirement

When applying alligation, all three values (Cheaper price, Dearer price, and Mean price) must be of the same unit, typically Cost Price (CP).

Profit and Loss Relation

If Selling Price (SP) and Profit% are given, always calculate CP first using CP = SP × [100 / (100 + P%)] before using the alligation cross.

Given

Speed of train are 100 m/hr and 80 m/hr

Formula 

average speed  2× (xy)/(x  y)

where, x and y are speed of the train

Calculation

Average speed = 2 × (100 × 80)/(100 + 80)

⇒ 16000/180 = 88.89

∴ Average speed is 88.89 m/hr

Given

Pipe A can fill a cistern in 20 minutes

The leak can empty it in 28 minutes 

Calculation

By LCM method

⇒ LCM of 20 minutes and 28 minutes = 140

⇒ Efficiency of Fill pipe = 140/20 = 7 unit

⇒ Efficiency of leaked pipe = 140/28 = 5 unit

⇒ When both pipes are opened efficiency = 7 - 5 = 2 unit

∴ Cistern fill in 140/2 = 70minute

Given:  the difference between A’s and C’s total marks in the exam

Marks obtained by A in Mathematics = 88

Marks obtained by A in Science = 86

Marks obtained by A in English = 66

Marks obtained by C in Mathematics = 72

Marks obtained by C in Science = 68

Marks obtained by C in English = 84

Calculation:

Total marks obtained by A in all subjects together = marks obtained by A in Mathematics + marks obtained by A in Science + marks obtained by A in English 

⇒ Total marks obtained by A in all subjects together = 88 + 86 + 66

⇒ Total marks obtained by A in all subjects together = 240

Total marks obtained by C in all subjects together = marks obtained by C in Mathematics + marks obtained by C in Science + marks obtained by C in English 

⇒ Total marks obtained by C in all subjects together = 72 + 68 + 84

⇒ Total marks obtained by C in all subjects together = 224

∴ the difference between A’s and C’s total marks in the exam = Total marks obtained by A in all subjects together - Total marks obtained by C in all subjects together

⇒ 240 - 224

⇒ 16

Hence, the difference between A’s and C’s total marks in the exam is 16.

Concept used:

We have to follow the BODMAS rule:

Calculation:

$\frac{1}{3} \div \frac{6}{7} \div \frac{6}{3} + \frac{8}{9} - \frac{2}{3} \times \frac{4}{3}$

⇒ $\frac{1}{3} \times \frac{7}{6} \div \frac{6}{3} + \frac{8}{9} - \frac{2}{3} \times \frac{4}{3}$

⇒ $\frac{7}{{18}} \div \frac{6}{3} + \frac{8}{9} - \frac{2}{3} \times \frac{4}{3}$

⇒ $\frac{7}{{18}} \times \frac{3}{6} + \frac{8}{9} - \frac{2}{3} \times \frac{4}{3}$

⇒ $\frac{7}{{36}} + \frac{8}{9} - \frac{8}{9}$

⇒ $\frac{7}{{36}}$

∴ The value is 7/36.

Given:

 Time taken by train to cross a man = 8 seconds 

Time taken by train to cross a platform = 18 seconds

Length of the train = 100 metres 

Formula Used :

Distance = Speed × Time

Calculation :

let the length of the platform be x 

Total distance covered by train in 18 sec = Lenght of train + length of the platform

⇒  D = (100 + x) metres

speed of the train = 100/8 m/s 

 Total distance covered by train= speed of train × total time taken

100 +x = (100/8) × 18

⇒ x = 225 - 100

⇒x = 125 m

∴ The length of the platform is 125 m

Calculation

Number of composite number in a dice are  (4 and 6)

⇒ Probabilty of composite number in a dice = 2/6 = 1/3

⇒ Number of prime number in a dice = 2, 3 and 5

⇒ Probability of prime number in a dice = 3/6 = 1/2

∴The probability of getting a composite number on the first roll and a prime number on the second roll = 1/2 × 1/3 = 1/6

Given:

Base area of cuboid = 34 sq cm.

height of cuboid = 3.5 cm

Formula used:

The volume of cuboid = base area of cuboid × height

Calculation:

Volume of cuboid = 34 × 3.5

⇒ Volume of cuboid = 119 cm³ 

Hence, the volume of the cuboid is 119 cm³.

Given

A sum of ₹ 10000 is lent partly at 8% and remaining at 10% per annum

Average interest = 9.2%

Formula used

SI = (P × R × T)/100

SI = Simple interest

P = Principal

R = Rate

T = Time period

Calculation

Let Rs x be lent at 8% and (Rs.10000 - x) is lent at 10%

⇒ (x × 8 × 1) /100 + [(10000 - x) × 10 × 1]/100 = (10000 × 9.2 × 1)/100

⇒ 8x/100 + 100000/100 - 10x/100 = 920

⇒ (8x - 10x)/100 + 1000 = 920

⇒ -2x = - 8000

⇒ x = 4000

∴ Both parts are Rs.4000 and Rs.6000

By allegation method

5 unit = 10000

1 unit  2000

2 unit = RS.4000

6 unit  Rs.6000

Formula used

To calculated LCM of the fraction, value is LCM of numerator/HCF of Denominator

Calculation

LCM of 10, 20 and 55 = 220

HCF of 21, 63, and 56 = 7

∴ LCM of 10/21, 20/63 and 55/56 is 220/7

Given:

The ratio of increased length = 4 : 5

Ratio of decreased breadth = 3 : 2 

Formula Used:

Area of the Rectangle = l × b sq units

Calculation:

Taking the individual length and breadth ratio before and after the change in dimension

Area of the rectangle before the change in dimension =  4 × 3 

⇒ Area = 12 Sq units

Area of the rectangle after the change in dimension =  5  × 2

 ⇒ Area = 10 Sq units

 area will be decreased in the ratio= 12 : 10

 ∴ The area will be decreased in the ratio  = 6 : 5

Given:

John travels a distance by bike =$\frac{2}{3}^{rd}$ of the total distance 

John travels a distance by foot = 6 km

Calculation:

Let us take the total distance traveled be x

John travels a distance by foot  = x - $\frac{2}{3}$x ⇒ $\frac{1}{3}$ x          -----------------------(I)

John travels a distance by foot = 6 km                   -----------------------(ii)

Equating (I) and (ii)

6 = $\frac{1}{3}$x

x = 18 km 

∴ The total distance traveled = 18 km

Alternate Method Unitary Method Approach:

Distance travelled by Bike = 2/3

Total Distance = 3 units

That means, 2 units out of 3 units travelled by Bike

Remaining Distance travelled by Foot = 1 unit (given as 6 km)

1 unit = 6 km

3 units = 6 × 3 = 18 km

Given:

Marks obtained by A in Mathematics = 88

Marks obtained by A in Science = 86

Marks obtained by A in English = 66

Calculation:

Total marks obtained by A in all subjects together = marks obtained by A in Mathematics + marks obtained by A in Science + marks obtained by A in English 

⇒ Total marks obtained by A in all subjects together = 88 + 86 + 66

⇒ Total marks obtained by A in all subjects together = 240

hence, the Total marks obtained by 'A' in all subjects together is 240.

Given :

$\frac{a}{b} = \frac{2}{3}$

Calculation:

a = 2

b = 3

Substitute the values in the equation

 ⇒ (5 × 2³ − 2 × 2² × 3) : (3 × 2× 3²− 33)  = (40 - 24) : (54 - 27)

 ⇒ (40 - 24) : (54 - 27) = 16 : 27

∴ The value of (5a3 − 2a2b) : (3ab2 − b3)  is 16 : 27

Given

MP = Rs.33,6000 

Discount  16%

Formula

MP(1 - D/100) = SP

MP = Marked price

D = Dscount

SP = Sellng price

Calculaton

33600(1 - 16/100) = SP

⇒ SP = 33600 × 84/100

⇒ SP = Rs.28224

∴ Selling price is Rs28224

Given

By selling 20 metres of cloth, a man gains the selling price of 4 metres of cloth

Formula used

Profit % = [(SP - CP)/CP] × 100

CP  Cost price

SP  Selling price

Calculation

Let CP of 1 meter cloth be Re.1

⇒ CP of 16 meter cloths = Rs.16

⇒ SP of 20 meter cloths = 20

Profit = 20 - 16 = Rrs.4

∴ Profit % is 4/16 × 100 = 25%

Given :

kohli total innings = 10

Runs scored by Kohli in 10^th Innings  = 106 

Average runs increased by 6 runs 

Formula Used:

Batting average = Total runs scored / total innings

Calculation:

Let us take the Batting average of Kohli be x 

New average = x + 6

Total runs scored = 9x + 106

Total innings = 10 

According to the question,

New Batting average = Total runs scored / total innings 

⇒ x + 6 = (9x + 106)/10

⇒10x + 60 = 9x + 106 

⇒ x = 46

New average = 46 + 6 ⇒ 52

∴ New batting average of virat kohli is 52

Given

A person purchases a silk cloth of length 50 m and width 1 m at the rate of ₹ 250 per sq m and a cotton cloth of length 40 m and width 2 m at the rate of ₹ 200 per sq m

Calculation

Area of silk cloth = 50 × 1 = 50 sq m

⇒ Rate of silk cloth = 50 × 250 = Rs.12500

Area of cotton cloth = 40 × 2 = 80 sq m

⇒ Rate of cotton cloths = 80 × 200 = Rs.16000

So, the difference between the prices = Rs. (16000 - 12500) = Rs. 3500

∴ The difference between the prices is Rs. 3500.

Given

CP (Cost price) of 70 article = Rs 890

SP (Selling price) of 60 article = Rs890

Formula

Profit % = [(Selling price - Cost price)/Cost price] × 100

Calculation

CP of 70 article is 890

⇒ CP of 420 article = Rs.5340

⇒ SP of 60 article = 890

⇒ SP of 420 article = Rs.6230

Profit = 6230 - 5340 = Rs.890

∴ Profit % = 890/5340 × 100 = $16\frac{2}{3}$%

CP of 1 article = Rs. 890/70 = 89/7

SP of 1 article = Rs. 890/60 = 89/6

Profit = 89/6 - 89/7 = 89/42

Profit% = [(89/42)/(89/7)] × 100 = $16\frac{2}{3}$%

∴ Profit% is $16\frac{2}{3}$%

Given :

We have to follow the BODMAS rule.

Calculation:

Using BODMAS Rule 

(140 + 80 × 2 − 24) ÷ (80 + 20 × 3 − 40) = ?

⇒(140 + 160 − 24) ÷ (80 + 60 − 40) = ?

⇒ (276) ÷ (100) = ?

∴ ? = 2.76

Given:

Female rat in particular experiment = 60%

Male rats in particular experiment = 40%

Female rats died in experiment = 70%

Male rats died in experiment = 30% 

Calculation:

Let the number of rats be x 

The number of female rats  = 60% of x = 0.6x 

Number of male rats = 40% of x = 0.4x

Let the number of rats that died be y 

The number of female rats died = 70% of y = 0.7y

Number of male rats died =  30% of y = 0.3y

Death rate of male rats = $\frac{0.3y}{0.4x}$ = $\frac{3y}{4x}$      ----(I)

Death rate of female rats = $\frac{0.7y}{0.6x}$ = $\frac{7y}{6x}$      ----(II)

The ratio of the death rate among the male rats to the death rate among the female rats

⇒ $\frac{3y}{4x}$ / $\frac{7y}{6x}$  = ${18 \over 28}$ = 18 : 28 = 9 : 14

∴ The ratio of the death rate of male to female rats is 9 : 14

Given:

the grass of a lawn is cut by a man = T minutes

Concept used:

If a person does work in n days,

then one day work by a person = 1/n part of the total work.

Calculation:

∴  Grassland will be cut by a man in 1 minute = 1/T part

⇒ In 30 minutes, Grassland will be cut by a man = (1/T) × 30 part

⇒ In 30 minutes, Grassland will be cut by a man = 30/T part

Hence, part of the lawn can be cut in 30 minutes is 30/T.

The correct answer is Rejoice. 

Key Points

• The most appropriate antonym of the given word 'Lament' is 'Rejoice'.
• Let's look at the meaning and examples of the given words: 
• | Lament | to express sadness and feeling sorry about something | Ex. The poem opens by lamenting (over) the death of a young man. | | --- | --- | --- | | Rejoice | to feel or show great happiness about something | Ex. Everyone rejoiced at the news of his safe return. | | Regret | a feeling of sadness about something sad or wrong or about a mistake that you have made, and a wish that it could have been different and better | Ex. The manager expressed deep regret at the number of staff reductions. | | Grieve | to feel or express great sadness, especially when someone dies | Ex. He is still grieving over his wife. | | Mourn | to feel or express great sadness, especially because of someone's death | Ex.They mourned the passing of an older, simpler way of life. |

Therefore, by reading the above explanation we find that the correct answer is 'Rejoice'.

The correct answer is is normal. 

Key Points

• The given sentence is grammatically incorrect.
• The erroneous Part 'in normal' should be 'is normally'.
• When modifying an entire sentence, adverbs can be placed in four positions:
• at the beginning; at the end; after the verb "to be" and "all auxiliary verbs": can, may, will, must, shall, and have, when have is used as an auxiliary (for example in I have been in Spain twice); before all the other verbs.
• Example of adverb after the auxiliary verb: 
• The summer is usually hot and humid.
• Therefore, cannot be used between the helping verb and the main verb.
• Hence, the correct answer is Option 4. 
  

​

Correct Sentence: The jute plant is normally harvested when it is at flowering stage.

The correct answer is to be calm. 

Key Points

• The most appropriate meaning of the given idiom is 'to be calm'.
• Cool as Cucumber: very calm or very calmly, especially when this is surprising
• Example: She walked in as cool as a cucumber as if nothing had happened.
• Therefore, the correct answer is Option 3. 
  

​

Hence, the correct answer is 'to be calm'.  

Cool as Cucumber:  धैर्यवान

The correct answer is 'Concious'. 

Key Points

• In the given question 'Concious' is incorrectly spelt.
• The correct spelling of it is C-O-N-S-C-I-O-U-S.
• Let's look at the meaning and examples of the given words:

​Hence, the correct answer is 'Concious'.

The correct answer is 'Anarchist'. 

Key Points

• Let's look at the meaning and examples of the given words: 
• | Anarchist | someone who wishes to destroy the existing government and laws | He was a poet, an anarchist, and a vegan. | | --- | --- | --- | | Pacifist | the belief that war is wrong, and, therefore, that to fight in a war is wrong | The pacifist movement is gaining increasing support among young people. | | Patriot | a person who loves their country and, if necessary, will fight for it | This discourse was not only present in different media but also characterizes descriptions of the patriot. | | Hermit | a person who lives alone and apart from the rest of society, especially for religious reasons | The town derives its name from a hermit who lived here in the 7th and 8th centuries. |

The correct answer is 'leave are used'. 

Key Points

• The erroneous Part ''leave are used'' should be ''leaves are used''.
• The word 'leave' means 'to go away from someone or something, for a short time or permanently'. Whereas, the word 'leaves' is the plural form of 'leaf'.
• The given sentence is talking about the whole leaves of the plants of mustard. Therefore, the plural form of 'leaf' that is 'leaves' should be used. 
  

​

Correct Sentence: Seeds of mustard plants give us oil and the leaves are used as a vegetable.

The correct answer is to force to submit. 

Key Points

• The most appropriate meaning of the given idiom is 'to force to submit'.
• Bring to one' knees: to destroy or defeat someone or something
• Example: The strikes had brought the economy to its knees.
• Therefore, by reading the above explanation we find that the correct answer is Option 1. 
  

​

The correct answer is 'to force to submit.' 

Additional Information

• The other idioms of the word 'Bring': 
• Bring someone/something into line (with someone/something): to force someone or something to be similar or of the same standard as someone or something else
• Example: Teachers say the raises would bring their salaries into line with other public workers.
• Bring something to the table: to provide something that will be a benefit
• Example: Clarkson was the right person to hire – she brings a lot of experience and some important skills to the table.

The correct answer is Convalescent. 

Key Points

• The most appropriate one-word for the given group of words is 'Convalescent'.
• Let's look at the meaning and examples of the given words: 
• | Athlete | a person who is very good at sports or physical exercise, especially one who competes in organized events | Ex. He became a professional athlete at the age of 16. | | --- | --- | --- | | Convalescent | someone who is getting better after a serious illness or injury | Ex. Most convalescents prefer to be cared for at home rather than in a hospital. | | Healthy | strong and well | Ex. He looks healthy enough. | | Altruist | a person who cares about others and helps them despite not gaining anything by doing this | Ex. Altruists have a strong desire to help other people. |

Hence, by reading the above explanation we find that the correct answer is 'Convalescent'.

The correct answer is giving off. 

Key Points

• The given sentence is grammatically incorrect.
• The erroneous Part 'giving off' should be 'gives off'.
• The usage of 'giving' is grammatically incorrect because it is a general statement. And present indefinite tense is used in these kinds of sentences.
• Here, 'Give off' is a phrasal verb.
• Give off: to produce something as a result of a natural process
• Example: The forest fire gave off thick black smoke.
• Therefore, the correct answer is Option 3. 
  

​

Correct Sentence: The thin wire that gives off light is called the filament.

The correct answer is 'are separated from'. 

Key Points

• The given question has two errors.
• In the given question 'Tea leaves' is plural. So, accordingly, a plural helping verb should be used. Hence, 'are' should be used instead of 'is'.
• The given sentence is an example of passive voice. Therefore, the third form of the verb 'separated' should be used.
  

​

Correct Sentence: Tea leaves are separated from the liquid with a strainer while preparing tea.

The correct answer is 'various'. 

Key Points

• The word 'various' means 'many different'. 
• Example: The author gave various reasons for having written the book.
• Here, the given sentence intends to convey that out of different kinds of ant, the most common are black or red.  
  

Correct Sentence: Among the various kinds, the most common ant is black or red. 

Additional Information

• Let's look at the meaning and examples of the other words: 
• | Separate | existing or happening independently or in a different physical space | The art department and the music department are in two separate buildings. | | --- | --- | --- | | Much | a large amount or to a large degree (of an uncountable noun) | I don't earn much money. | | Lot of | lots (of) a large amount or number of people or things | She eats lots of fruits |

The correct answer is different from each other. 

Key Points

• The given sentence is grammatically incorrect.
• The adjective different means ‘not the same’. When we compare two or more items, it is usually followed by 'from'.
• Example: Adam is so different from his brother.
• ​Here, in the given question 'in' is used incorrectly.
• Therefore, the correct answer is Option 4. 
  

​

Correct Sentence: The two sisters look quite different from each other.  

Mistake Points

• In American English, it is also common to say 'different than'.
• Example: This tea tastes very different than the one I usually drink. (or … very different from/to the one I usually drink)
• But in competitive exams, it is grammatically incorrect.

The correct answer is Insanity. 

Key Points

• The most appropriate synonym of the given word 'Madness' is 'Insanity'.
• Let's look at the meaning and examples of the given words:
• | Madness | stupid or dangerous behavior | Ex. To begin a war would be sheer madness. | | --- | --- | --- | | Insanity | the condition of being seriously mentally ill | Ex. He was found not guilty of murder by reason of insanity. | | Wisdom | the ability to use your knowledge and experience to make good decisions and judgments | Ex. I certainly hope to gain a little wisdom as I grow older. | | Stability | a situation in which something is not likely to move or change | Ex. Our country has enjoyed a long period of peace and stability. | | Balance | a state where things are of equal weight or force | Ex. The toddler wobbled and lost his balance. |

Therefore, by reading the above explanation we find that the correct answer is *'*Insanity'.  

Hinglish