SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3) (Previous Year Paper)

The logic followed here is : Consecutive cube of the prime number series.

Hence, "4913" is the correct answer.

The logic followed here is :-

From the given three different cubes, figure 1 and figure 3 ,the adjacent sides are as shown below :

As 1 is common on both figure 1 and figure 3, it is clear that 2, 4, 5 and 6 are adjacent to it and remaining number i.e., 3 will be opposite to it.

Opposite pairs:

2 → 5

4 → 6

1 → 3

So, the opposite side of "1" will be side "3".

Hence, the correct answer is "3".

The logic followed here is :

• Positional value of the letters is written in the reverse order according to English alphabetic series.
• Two digit positional values of letters according to English alphabetic series remains same within the number.

So,

• ‘CRUST’ is written as ‘201921183’

​

And,

• ‘BLAME’ is written as ‘5131122’

​

​Similarly,

• ‘PLASTIC’ is written as :

​

​Hence, "39201911216" is the correct answer.

The logic followed here is : Consecutive number series are added starting with (1) to the position value according to English alphabetic series and then reversed.

So,

• ROSE : IVQS

​

And,

• SUIT : XLWT

​

​Similarly,

• TIME :

​

​Hence, "IPKU" is the correct answer.

The correct mirror image of the given combination when mirror is placed at MN is as shown below:

Hence, the correct answer is "Option - (4)".

The logic followed here is :-

1. According to English alphabetic series the difference between the position values of first letter and second letter is (2).
2. According to English alphabetic series the difference between the position values of second letter and third letter is (2).

So,

• Option - (1) : FDB

​

• Option - (2) : ZXV

​

• Option - (3) : JIG

​

• Option - (4) : LJH

​

Hence, the correct answer is "JIG".

The logic followed here is :

1. 2nd number = Square of 1st number
2. 3rd number = Cube of 1st number

​Given :

• (9, 81, 729)

​81 = $(9)^2$

81 = 81 (LHS = RHS)

And,

729 = $(9)^3$

729 = 729 (LHS = RHS)

And,

• (14, 196, 2744)

​196 = $(14)^2$

196 = 196 (LHS = RHS)

And,

2744 = $(14)^3$

2744 = 2744 (LHS = RHS)

So,

• Option - (1) : (11, 212, 464)

​212 = $(11)^2$

212 ≠ 121 (LHS ≠ RHS)

And,

464 = $(11)^3$

464 ≠ 1331 (LHS ≠ RHS)

• Option - (2) : (17, 289, 4913)​

​289 = $(17)^2$

289 = 289 (LHS = RHS)

And,

4913 = $(17)^3$

4913 = 4913 (LHS = RHS)

• Option - (3) : (25, 625, 9375)​

​625 = $(25)^2$

625 = 625 (LHS = RHS)

And,

9375 = $(25)^3$

9375 = 15625 (LHS ≠ RHS)

• Option - (4) : (15, 375, 1125)​

​375 = $(15)^2$

375 ≠ 225 (LHS ≠ RHS)

And,

1125 = $(15)^3$

1125 ≠ 3375 (LHS ≠ RHS)

Hence, "Option - (2)" is the correct answer.

Given : 

So, according to the given symbols :​​​

• Option - (1) : P × P – Q → This option is invalid.  So, it will not be the correct answer.
• Option - (2) : P + Q – R → P is the father of Q who is the mother of R.

​

Here, Q is the daughter of P.

• Option - (3) : P – Q - R → P is the mother of Q who is the mother of R.

​

Here, Q is the daughter of P.

• Option - (4) : P – Q + R → P is the mother of Q who is the father of R.

​

Here, Q is the son of P.

Hence, "Option - (4)" is the correct answer.

Given : 

Statement : W @ Q # T & Y @ M % K

So, according to the given symbols :​

• W @ Q → W is the son of Q.

​

• Q # T → Q is the sister of T.

​

• T & Y → T is the father of Y.

​

• Y @ M → Y is the son of M.

​

• M % K → M is the mother of K.

​​​​​

Thus, according to the final family tree Q is the paternal aunt or father's sister of K.

Hence, "Father’s sister" is the correct answer.

The figure that will replace the question mark (?) in the following figure series is shown below:

1. For '

' element : The number of '

' element is decreasing and flipping vertically or horizontally i.e opposite side is darkened subsequently.

2. For '

' element : No change

3. For '

' element : Shifting in the anti-clockwise direction within the '

' element.

Final series is :

Hence, ‘option - (4)’ is the correct answer.

According to the question, after interchanging the number 3 and 8:

So,

• Option - (1) : 7 + 3 – 4 ÷ 2 × 8 = 9

​7 + 8 – 4 ÷ 2 × 3 = 9

7 + 8 - 2 × 3 = 9

7 + 8 - 6 = 9

15 - 6 = 9

9 = 9 (LHS = RHS)

• Option - (2) : 6 ÷ 2 × 8 + 3 – 1 = 17

6 ÷ 2 × 3 + 8 – 1 = 17

3 × 3 + 8 – 1 = 17

9 + 8 – 1 = 17

17 - 1 = 17

16 ≠ 17 (LHS ≠  RHS)

• Option - (3) : 8 – 3 + 6 × 2 ÷ 4 = –2

3 – 8 + 6 × 2 ÷ 4 = –2

3 – 8 + 6 × 0.5 = -2

3 + 3 - 8 = -2

6 - 8 = -2

-2 = -2 (LHS = RHS)

• Option - (4) : 2 + 3 – 6 ÷ 2 × 8 = 1

2 + 8 – 6 ÷ 2 × 3 = 1

2 + 8 – 3 × 3 = 1

2 + 8 - 9 = 1

10 - 9 = 1

1 = 1 (LHS = RHS)

Hence, "Option - (2)" is the correct answer.

The logic followed here is : 

1. First letter - Shifted to the third position.
2. Second letter - Shifted to first position.
3. Third letter - Shifted to second position.
4. Fourth and fifth letter - No change
5. Sixth and seventh letter - Interchange position with each other.
6. Eighth and ninth letter - Interchange position with each other.

So,

• ‘HYPOCRISY’ is written as ‘YPHOCIRYS’

​

And,

• ‘IMPORTANT’ is written as ‘MPIORATTN’

​

​Similarly,

• ‘INTEGRITY’ is written as :

​

​Hence, "NTIEGIRYT" is the correct answer.

Given : Year - 2033

Explanation:

Calculating the odd days for 31st December 2032 :

2032 can be written as → (2000 + 32) so,

2000 → 0

And,

32 → Dividing 32 by 4 will give get quotient 8 i.e:

 

Now, 40 ÷ 7 = Remainder = 5

As 5 is the code for Friday , thus it is Friday on 31st December 2032.

And, 

1st January is one day after 31st December 2032, so it will be Saturday.

Hence, "Saturday" is the correct answer.

 Additional Information

1. Ordinary year (365 days) = 1 odd day
2. Leap year (366 days) = 2 odd days

• Number of odd days for the days of week.

 

• Number of odd days for the days of months.

 

• Number of odd days for the years.

Note - Any multiple year of 400 like 800, 1200,1600, 2000 etc will have '0' Odd days.

The logic followed here :

• Earth is a planet.

Similarly

• Moon is a satellite.

Hence, "Satellite" is the correct answer.

Additional Information

1. Rocket - It is a space vehicle or missile.
2. Space - It is boundless three-dimensional extent in which the object and events have relative position and direction.
3. Satellite - An object that moves around another object.
4. Orbit - An regular repeating path that one object in space takes around another one.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. Some dogs are white → Does not follow (As some dogs are animals, some animals are pet and all pets are white. So, it is possible but not definitely true)

II. Some animals are white → Follow (As some animals are pet and all pets are white. So, it is definitely true)

III. Some animals are dogs → Follow (As some dogs are animals. So, it is definitely true)

∴ Here, Only conclusions II and III follow.

Hence, the correct answer is "Only conclusions II and III follow".

According to the question, after replacing the signs ÷ and +:

So,

• Option - (1) : 8 + 4 × 5 ÷ 2 – 6 = 7

8 ÷ 4 × 5 + 2 – 6 = 7

2 × 5 + 2 – 6 = 7

10 + 2 – 6 = 7

12 - 6 = 7

6 ≠ 7 (LHS ≠ RHS)

• Option - (2) : 16 + 8 × 2 ÷ 6 – 4 = 8

16 ÷ 8 × 2 + 6 – 4 = 8

2 × 2 + 6 – 4 = 8

4 + 6 - 4 = 8

10 - 4 = 8

6 ≠ 8 (LHS ≠ RHS)

• Option - (3) : 18 + 2 × 6 ÷ 3 – 7 = 50

18 ÷ 2 × 6 + 3 – 7 = 50

9 × 6 + 3 – 7 = 50

54 + 3 - 7 = 50

57 - 7 = 50

50 = 50 (LHS = RHS)

• Option - (4) : 11 + 8 × 16 ÷ 4 – 7 = 20

11 ÷ 8 × 16 + 4 – 7 = 20

1.375 × 16 + 4 – 7 = 20

22 + 4 - 7 = 20

26 - 7 = 20 

19 ≠ 20 (LHS ≠ RHS)

Hence, "Option - (3)" is the correct answer.

Logic :

1. First letter →  (1) is added to the position value according to the English alphabetic series.
2. Second letter → (2) is added to the position value according to the English alphabetic series.
3. Third letter → (3) is added to the position value according to the English alphabetic series.
4. Fourth letter → No change

So,

Hence, "DHLD" is the correct answer.

Given:

• The image must not to be rotated

Hence, the correct answer is "Option - (4)".

The logic followed here is : (1st number - 2nd number) = (2nd number - 3rd number)

So,

• Option - (1) : (92 –72 –52)

​92 - 72 = 72 - 52

20 = 20 (LHS = RHS)

• Option - (2) : (76 –56 –36)

​76 - 56 = 56 - 36

20 = 20 (LHS = RHS)

• Option - (3) : (98–78 –56)

​98 - 78 = 78 - 56

20 ≠ 22 (LHS ≠ RHS)

• Option - (4) : (88 –68 –48)

​88 - 68 = 68 - 48

20 = 20 (LHS = RHS)

Hence, "Option - (3)" is the correct answer.

Given : $(6)^3 \div 12+ [(\sqrt{81}) × 4] - (28 \div 2) + 24 = 43$

According to the question, after interchanging the numbers:

So,

• Option - (1) : 12 and 24

​$(6)^3 \div 24 + [(\sqrt{81}) × 4] - (28 \div 2) + 12 = 43$

216 ÷ 24 + (9 × 4) - (28 ÷ 2) + 12 = 43

216 ÷ 24 + 36 - 14 + 12 = 43

9 + 36 + 12 - 14 = 43

57 - 14 = 43

43 = 43 (LHS = RHS)

• Option - (2) : 6 and 24​

​$(24)^3 \div 12 + [(\sqrt{81}) × 4] - (28 \div 2) + 6 = 43$

13824 ÷ 12 + (9 × 4) - (28 ÷ 2) + 6 = 43

13824 ÷ 12 + 36 - 14 + 6 = 43

1152 + 36 + 6 - 14 = 43

1194 - 14 = 43

1180 ≠ 43 (LHS ≠ RHS)

• Option - (3) : 81 and 4

​$(6)^3 \div 12 + [(\sqrt{4}) × 81] - (28 \div 2) + 24 = 43$

216 ÷ 12 + (2 × 81) - (28 ÷ 2) + 24 = 43

216 ÷ 12 + 162 - 14 + 24 = 43

18 + 162 + 24 - 14 = 43

204 - 14 = 43

190 ≠ 43 (LHS ≠ RHS)

• Option - (4) : 28 and 24

​$(6)^3 \div 12 + [(\sqrt{81}) × 4] - (24 \div 2) + 28 = 43$

216 ÷ 12 + (9 × 4) - (24 ÷ 2) + 28 = 43

216 ÷ 12 + 36 - 12 + 28 = 43

18 + 36 + 28 - 12 = 43

82 - 14 = 43

68 ≠ 43 (LHS ≠ RHS)

Hence, "Option - (1)" is the correct answer.

Logic : (1st number × 3) - 11 = 2nd number

So,

• 37 : 100

​(37 × 3) - 11 = 100

111 - 11 = 100

100 = 100 (LHS = RHS)

And,

• 29 : 76

​(29 × 3) - 11 = 76

87 - 11 = 76

76 = 76 (LHS = RHS)

Similarly,

• 24 : ?

​​(24 × 3) - 11 = ?

72 - 11 = ?

61 = ? 

Hence, "61" is the correct answer.

The logic followed here is : (2nd number + 3rd number) = 1st number

Given :

• (23, 14, 9)

14 + 9 = 23

23 = 23 (LHS = RHS)

And,

• (37, 19, 18)

​19 + 18 = 37

37 = 37 (LHS = RHS)

So,

• Option - (1) : (125, 25, 5)

25 + 5 = 125

30 ≠ 125 (LHS ≠ RHS)

• Option - (2) : (125, 100, 5)

100 + 5 = 125

105 ≠ 125 (LHS ≠ RHS)

• Option - (3) : (125, 25, 100)

25 + 100 = 125

125 = 125 (LHS = RHS)

• Option - (4) : (125, 5, 25)

5 + 25 = 125

30 ≠ 125 (LHS ≠ RHS)

Hence, "Option - (3)" is the correct answer.

The figure that will replace the question mark (?) in the following figure series is shown below:

1. Two types of movements follow alternatively. The first elements follow this type

2. Secondly elements follow this type of movement. 

3. Thirdly elements repeat the first movement.

4. At last, the elements follow the second type of movement.

The final series is :

Hence, ‘option - (3)’ is the correct answer.

The logic followed here is :- (+2) is added to each position value according to English alphabetic series.

So,

Hence, the correct answer is "HQX".

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. Some D are not J → Does not follow (As there is no negative relation given between D and J, definite negative conclusion will be false.)

II. Some B are not J → Does not follow (it is possible that some B are not J but not definitely. So, it will be considered as false conclusion)

∴ Here, Neither conclusion follows.

Hence, the correct answer is "Neither conclusion follows".

Additional Information

The correct answer is Trans – Siberian Railways.

Key Points

• Trans–Siberian Railway:
• This is a trans–Siberian Railways major rail route of Russia that runs from St. Petersburg in the west to Vladivostok on the Pacific Coast in the east passing through Moscow, Ufa, Novosibirsk, Irkutsk, Chita and Khabarovsk.
• It is the most important route in Asia and the longest (9,332 km) double-tracked and electrified transcontinental railway in the world.
• It has helped in opening up its Asian region to West European markets.
• It runs across the Ural Mountains Ob and Yenisei rivers Chita is an important agro centre and Irkutsk is a fur centre.

Additional Information

• Trans Arabian Railway
• This is a concept as yet that has been approved by Saudi Arabia.
• This rail route will connect Saudi Arabia, UAE, Oman, Bahrain, Kuwait, and Qatar.
• This ambitious project is called the GCC Rail network.
• Russian Railways is interested in constructing this project.
• Trans European Railway
• It is a project by United Nations Economic Commission for Europe
• It is a joint project with Tran European Motorways.
• It aims at connecting Central, East, and South-Eastern Countries.
• Trans-Asian Railway
• It is a plan to construct a freight train network across Asia to Europe.
• The project is under the United Nations Economic and Social Commission for Asia and the Pacific (UNESCAP).

The correct answer is Bhupesh Baghel.

Key Points

• Bhupesh Baghel assumed the office of Chief Minister of the station on 17 December 2018 and succeeded Raman Singh.
• He belongs to Indian National Congress and Patan Assembly constituency.

Important Points 

• Chhattisgarh:
• The state came into existence on November 1, 2000, after its separation from Madhya Pradesh.
• The capital of Chhattisgarh is Raipur.
• The state ranks 9th in terms of area and 16th in terms of population.
• State animal: Wild Water Buffalo.
• State bird: Common Hill Myna.

Additional Information

The correct answer is 2003.

Key Points

• The Electricity Act 2003:
• It is an Act of the Parliament of India enacted to transform the power sector in India.
• It is an act to consolidate the laws relating to the generation, transmission, distribution, trading and use of electricity and generally for taking measures conducive to the development of the electricity industry, promoting competition therein, protecting the interest of consumers and supply of electricity to all areas, rationalization of electricity tariff, ensuring transparent policies regarding subsidies, promotion of efficient and environmentally benign policies.
• This act was amended in 2007 and was introduced in Lok Sabha on August 8, 2022.

Important Points 

• Energy Conservation Act 2001
• The Act is to provide for the efficient use of energy and its conservation and for matters connected therewith or incidental thereto.
• It extends to the whole of India except the state of Jammu and Kashmir.

The correct answer is Daojali Hading.

Key Points

• Daojali Hading is a neolithic site in the Dima Hasao District of Assam.
• Here stone tools including mortars and pestles have been found.
• It is the first stratified neolithic site discovered in Northeast India.
• Excavated in 1961-63 by a team led by M C Goswami and T C Sharma

Additional Information

• The Brahmaputra Valley has an average width of about 80 Km.
• The main river of the valley, Brahmaputra is one of the largest rivers in the world and ranks fifth concerning its average discharge.
• The river originates from the Kailash ranges of the Himalayas.
• In Bangladesh, Brahmputra is known by the name Jamuna.
• Yarlung Tsango is the Tibetan name for the upper course of Brahmputra.
• In Arunachal Pradesh, Brahmputra is known by the name Dihang.
• The Brahmputra is also called the Red River.

The correct answer is Goa.

Key Points

• Tarangmel is the folk dance of Goa that celebrates the youthfulness of the region.
• It is performed during Dussehra and Holi.

Additional Information

• There are eight classical dances recognized by the Government of India
• These are Bharatnatyam, Kathakali, Kuchipudi, Mohiniyattam, Kathak, Manipuri, Odissi, and Sattriya.

 

• Chhau dance
  

Chhau dance is the 9th dance form in India. According to India's Ministry of Culture, there are nine recognised classical dances. Dance is first mentioned in a well-known work in Bharat Muni's book Natya Shastra. Chhau dance is the 9th dance form in India.

The correct answer is directly proportional.

Key Points

• We know that Distance Travelled by an Object = Speed x Time.
• In order to replace the sign of equality with proportionally, either time or speed must be constant.
• As distance travelled is directly proportional to time.
• Therefore the speed of the object must be constant.
• This type of motion is also called Uniform Motion.

Additional Information

• The motion of an object can be uniform or non-uniform based on its velocity.
• The velocity of an object is the displacement per unit of time.
• Velocity is defined as a vector measurement of the rate and direction of motion of an object.
• Velocity formula when an object moving in a straight line: r=d/t.
• "r" is the rate or speed, "d" is the distance moved, and "t" is the time it takes to complete the movement.
• The acceleration of a moving object is the rate of change in velocity.

The correct answer is Andhra Pradesh.

Key Points

• The State Government of Andhra Pradesh has decided to implement the “Family Doctor Project” on a pilot basis in Padmanabham Mandal of Visakhapatnam district.
• Family Doctor Program is mainly introduced to establish village health clinics in every village.
• Every village health clinic is connected with the Grama Sachivalyams.
• As a part of this telemedicine is also provided to patients.
• Nurses and ASHA workers are present in these clinics.
• Under this scheme, two PHCs are present in each Mandal.
• The medical officers are known for being present at these PHCs 24x7.

The correct answer is "Mahalnobis was born in 1983 in Calcutta" which is incorrect.

Key Points

• About Prof. Prasanta Chandra Mahalanobis :
• He was known as the “Father of Indian Statistics”.
• He was born on 29th June 1893 in Calcutta.
• He was awarded the Padma Vibhushan in 1968 for his contribution to science and services
• He established the Indian Statistical Institute in 1931.
• He started the journal Sankhya.
• He is known as the architect of Indian planning.
• India celebrates June 29th as National Statistics Day to recognize the contribution of statistics in daily life and to educate the general public on the importance of statistics in socio-economic planning and policy formulation. The first National Statistics Day was celebrated on 29th June 2007.

The correct answer is Gangwon.

Key Points

• The fourth edition of the Winter Youth Olympic Games 2024 will be held in Gangwon province in the cities of Pyeongchang and Gangneung (Republic of Korea).
• The 2018 Olympic Winter Games 2018 also held in the same city.
• The motto of the 4th Edition is " Grow Together, Shine Together".
• The games are scheduled to be held between 19 January and 2 February 2024.

Additional Information

• The 2022 Winter Olympic Games will be held in Beijing.
• The official Mascot of the 2022 Winter Olympics Games is Bing Dwen.
• The 2024 Summer Olympics is scheduled to take place from 26 July to 11 August 2024 in Paris, France.
• Olympics 2020 was held in Tokyo, Japan from 23 July to 8 August 2021.
• The motto of the 2020 Olympics was United by Emotion.
• The United States topped the tally with a total of 113 medals.
• India ranked 48th with a total of 7 Medals (1 Gold, 2 Silver and 4 Bronze).

The correct answer is Dhaka.

Key Points

• All India Muslim League was established On 30 December 1906, a conference took place under the control of Nawab Salim Ulla Khan of Dhaka.
• The constitution of this league was made in 1907 in Karachi Pakistan.
• Its first session was held in 1907 in Karachi.
• The first session of the All India Muslim League was presided over by Aga Kha.
• Muslim League supported the partition of Bengal.

Additional Information

• The partition of Bengal in 1905 was introduced by Lord Curzon.
• He issued the order of partition of Bengal in July 1905 and the partition took effect in October 1905.
• The Eastern part of Bengal has the majority of the Muslim population and the western part of Bengal has the majority of the Hindu population while the central region is comprised of both religions.
• The partition of Bengal was made in order to carry out effective administration and discourage Hindu and Muslim unity.
• River Bhagirathi served as a physical partitioner between East Bengal and West Bengal.

The correct answer is Right to Vote.

Key Points

• The right to vote in India is guaranteed by the Constitution and the Representation of the People Act, 1951, subject to certain limitations.
• Every citizen over the age of 18 has the right to vote under Article 326 of the Constitution.
• The Right to vote in India is a Constitutional Right and not a Fundamental Right.​

Additional Information

• There are six fundamental rights recognized by the Indian constitution:
• Right to equality (Articles. 14-18)
• Right to freedom (Articles. 19-22) The right to freedom includes freedom of speech and expression
• Right against exploitation (Articles. 23-24)
• Right to freedom of religion (Articles. 25-28)
• Cultural and Educational Rights (Articles. 29-30), and
• Right to constitutional remedies (Articles. 32-35)

The correct answer is Godavari.

Key Points

• The Godavari River rises from Trimbakeshwar in the Nashik district of Maharashtra.
• It is also known as the Dakshin Ganga.
• It is the second-longest river in India.
• Dams on the Godavari river are - Polavaram Dam (Andhra Pradesh), and Pochampad Dam (Telangana).
• Tributaries of Godavari are Pranhita, Pravara, the Purna, the Manjra, and the Penganga.

Additional Information

The correct answer is Allaudin Khan.

Key Points

• Allauddin Khan totally reshaped Indian classical music's Maihar Gharana.
• He was also known as Baba Allauddin Khan.
• He was born in Shibpur village in Brahmanbaria (in present-day Bangladesh) in 1862.
• He was an Indian sarod player.
• He was the guru of Pandit Ravi Shankar.​

Additional Information

• Ravi Shankar was a Sitar Player and composer.
• A sitar virtuoso, he became the world's best-known exponent of North Indian classical music in the second half of the 20th century and influenced many musicians in India and throughout the world.
• He was born on 7 April 1920 in Varanasi and died on 11 December 2012 in La Jolla, California, United States.
• He was awarded Bharat Ratna, Grammy Lifetime Achievement Award, and more.
• He is an Indian musician, player of the sitar, composer, and founder of the National Orchestra of India.
• Sitar, a stringed instrument of the lute family that is popular in northern India, Pakistan, and Bangladesh.

The correct answer is i - b, ii - c, iii - a, iv - d.

Key Points 

• Vitamin A:
• It is fat soluble.
• Its scientific name is Retinol.
• Its deficiency causes xeropthalmia.
• Milk, butter and liver are a source of vitamin A.
• Vitamin B12:
• Vitamin B12 is also known as cobalamin.
• It is a water-soluble vitamin involved in the metabolism of every cell of the human body.
• It is one of eight B vitamins.
• All forms of vitamin B12 contain the biochemically rare element cobalt (Co) positioned in the centre of a corrin ring.
• Vitamin C:
• It is a water-soluble vitamin.
• It is also known as Ascorbic acid.
• Scurvy is caused by not having enough vitamin C in our diet
• Vitamin C is mainly found in fruit and vegetables.
• Vitamin D:
• Vitamin D is a group of fat-soluble secosteroids responsible for increasing intestinal absorption of calcium, magnesium, and phosphate, and multiple other biological effects.
• In humans, the most important compounds in this group are vitamin D3 (also known as cholecalciferol) and vitamin D2 (ergocalciferol).
• Cholecalciferol and ergocalciferol can be ingested from the diet and from supplements.
• Only a few foods contain vitamin D.
• The major natural source of the vitamin is the synthesis of cholecalciferol in the skin from cholesterol through a chemical reaction that is dependent on sun exposure (specifically UVB radiation).

The correct answer is 2 min.

Key Points

• According to Rule 7 of the AIBA Boxing competition Rules, in all AOB Junior Boys and Girls competitions, the Bouts must consist of three rounds of two minutes each.
• In all AOB Elite Men and Youth Boys competitions, the Bouts must consist of three rounds of three
  

minutes each.

• In all AOB Elite Women and Youth Girls competitions, the Bouts must consist of four rounds of two
  

 minutes each.

• For all the above-listed Competitions, the rest time between rounds is one minute.

Additional Information

• AIBA (International Boxing Association)
• HQ - Lausanne, Switzerland
• President - Umar Nazarovich Kremlev (Russian)
• Founded - November 1946

The correct answer is  Yamuna

Key Points 

• The Yamuna is a river in India.
• It is the largest tributary of the Ganges River.
• It originates from a place called Yamunotri and joins the Ganges at Prayagraj.
• It flows from North to South.
• Notable among its major tributaries are Chambal, Sengar, Choti Indus, Betwa and Ken.
• The major cities on the banks of Yamuna are Delhi and Agra.

The correct answer is Thanjavur.

Key Points

• Vijayalaya was the founder of the Chola Dynasty.
• He captured the Kaveri delta which was under the control of the Muttaraiyar and built Thanjavur.
• Thanjavur is the 7th biggest city in Tamil Nadu.
• Brihadeswara Temple is located in Thanjavur.
• Thanjavur is also home to Tanjore painting.

Additional Information

• The Chola Empire:
• Founded by Vijayalaya in 850 AD.
• The greatest ruler of Chola was Rajaraja and Rajendra I.
• Rajaraja built the Brihadeshwara temple which was attributed to Lord Shiva.
• Rajendra 1 defeated the Pala King Mahlpala and took the title of Gangaikondachola.
• The last ruler of the Chola dynasty was Rajendra III.

The first complete Census was taken in India in 1881.

 Key Points

• A census is an official enumeration of population done periodically. In India, the first census was held in the year 1872.
• The first complete census, however, was taken in the year 1881. Since then, censuses have been held regularly every tenth year.
• The Indian Census is the most comprehensive source of demographic, social and economic data about India.

The correct option is accepts deposits from the public.

Key Points

Central banks are responsible for overseeing the monetary system for a nation, along with a wide range of other responsibilities, from overseeing monetary policy to implementing specific goals such as currency stability, low inflation, and full employment.

Important Points

 

Functions of the Central Bank

• Currency regulator or bank of issue.
• Bank to the government.
• Custodian of Cash reserves.
• Custodian of International currency.
• Lender of last resort.
• Clearing house for transfer and settlement.
• Controller of credit.
• Protecting depositor’s interests.

The correct answer is Gujarat

Key Points

• Rann Utsav is usually celebrated in the months of December to February.
• It is held every year in the Kutch district of Gujarat. This year it was celebrated in 1st December 2019 to 20th February 2020
• Kutch or Rannutsav, a unique manifestation of the varied cultural ethos of the region is known for the ethnic flavor and celebrative zest.
• Semi parched Grasslands of the Banni hosts the Utsav.

The correct answer is Kerala

Key Points 

• Kerala Bird Atlas (KBA) is a first-of-a-kind state-level bird atlas in India.
• The atlas, curated over years, covers a number of species found in the State.
• It is Asia’s largest bird atlas in terms of geographical extent, sampling efforts, and species coverage derived from the aggregation of 25,000 checklists.
• It has details of 94 very rare species, 103 rare species, 110 common species, etc.

Important Points 

• Data was collected via random sampling from the geographical terrain split into nearly 4000 grids.
• In addition to this, over 1,000 volunteers of the bird-watching community participated in the citizen science-driven exercise.
• The volunteers were divided into survey teams of two to five members and were deployed across all 14 districts.
• For preparing KBA, systematic surveys were held twice a year, once during the wet season (July to September) and the other in dry season (January to March) between 2015 and 2020.
• In terms of technology, tools like Locus Free, an Android GPS application, and eBird platform were also used for seamless conduct of the survey and documentation process.

Additional Information 

• Kerala:
• Number of Districts - 14.
• Lok Sabha seats - 20.
• Rajya Sabha seats - 9.
• State Animal - Indian elephant.
• State Bird - Great hornbill.
• National Park: Anamudi Shola National Park, Eravikulam National Park, Mathikettan Shola National Park, Pambadum Shola National Park, Periyar National Park 1982, Silent Valley National Park.
• Dams: Idukki Dam (Periyar river), Mullaperiyar masonry gravity dam (Periyar rive), Pazhassi Dam or Kulur Barrage (Valapattanam river).
• Registered GI: Aranmula Kannadi, Palakkadan Matta Rice, Balaramapuram Saris and Fine Cotton Fabrics.

The correct answer is Greater the mass, greater the inertia

Key Points

Inertia: 

• An inherent property of all the bodies by virtue of which they cannot change their state of rest or uniform motion along a straight line by their own is called inertia.
• The natural tendency of an object to resist the change in its state of rest or of state of uniform motion is called Inertia.
• Inertia is the measure of the mass of a body.
• Inertia is not a physical quantity, it is only a property of the body which depends on the mass of the body.
• Inertia has no units and no dimensions.
• From the above, it is clear that the property of the body which depends on the mass of the body i.e., the mass of an object is a measure of its inertia.
• Greater is the mass of the body, more is the inertia of that body.

The correct answer is ​Vijayanagara

Key Points

• The Vijaynagar Kingdom (1336-1546 A.D.) in the south took keen interest in building large and small storage tanks.
• Anantraj Sagar tank was built with a 1.37 km long earthen dam across the Maldevi river.
• The well-known Korangal dam was built under King Krishnadevraya.

Additional Information 

• Vijayanagara empire:
• They ruled with their capital Hampi.
• They played a major role in protecting the Hindu religion and culture in south India.
• Harihara and Bukka were the founders of this dynasty.
• Dewankhana is a 40-pillared hall to the right side of the emperor’s palace.
• Boundaries of the land were demarcated by stones called Vamanamudreyakallu or Lingamudreyakallu.
• They issued gold silver and copper coins. Gold coins were called Gadyana, Varaha or Honnu, Prathapa, Hana, Visa, and Kasu based on their denominations.
• Mangalore, Bhatkala, Barkur, and Honnavara are the major port cities during the Vijayanagara times.
• The Boar / Varaha (an avatar of Vishnu) is the royal emblem of Vijayanagara rulers
• They issued nearly 7000 inscriptions, half of them are in the Kannada language and the rest are in Tamil, Telugu, and Sanskrit.
• Ramabhyudhayam was written by Rajanatha Dindima in the Sanskrit language.
• Kumara Ramana Kathe was written by Poet Nanjunda in the Kannada Language.
• Achuthabhyudhayam was written by Dindima II in Sanskrit.
• Varadambika Parinayam was written by Tirumalamba.
• Untouchability was still in practice in the kingdom.
• The secretaries in the kingdom were called Rayasa.
• Karyakarta is a man who looked after the emperor’s personal works.
• Land revenue was the chief source of Income, and was assessed after deciding the gross product of the land.

The Correct Answer is Saroj Khan.

Key Points

• The noted Bollywood choreographer Saroj Khan passed away in July 2020 due to cardiac arrest.
• In a career spanning more than four decades, Saroj Khan choreographed more than 2000 songs.
• She is a three-time National award winner -  Devdas (2003), Sringaram (2006-Tamil), Jab We Met (2008).
• She has choreographed popular songs including Hawa Hawai in Mr India (1987), Nagina (1986) and Chandni (1989), Ek Do Teen from Tezaab (1988), and more.
• Some of the iconic choreography in her career include - Ek do teen from tezaab, Dola re Dola from Devdas, Ye Ishq Haaye from Jab we met, etc.
• She also holds the record for winning 8 Filmfare best choreography award.

The correct answer is Glycogen

Key Points

• Glycogenesis:
• The Biochemical process in which Glucose is converted into Glycogen in the liver is known as Glycogenesis.
• The cell must have an excess of glucose for starting this process. Glucose is the starting molecule and is converted through the process of glycogenesis.
• When the body does have readily available glucose, the body creates glycogen through the process of glycogenesis.
• This process is activated during rest periods in the liver and also activated by insulin in response to high levels of glucose.
• When the body gets an excess meal and the blood glucose levels are high, the pancreas releases insulin hormone to store glucose.
• The fat in the human body is stored for long time energy but glycogen is not the same as fat.
• When the blood glucose concentration has dropped, glycogen stores are often taken from meals.

Important Points

• Glycogenolysis:
• Glycogenolysis is the breakdown of the molecule glycogen into glucose.
• Glycogenolysis occurs in muscle and liver cells when more energy needs to be produced.
• Gluconeogenesis:
• Gluconeogenesis fulfil the needs for plasma glucose between meals.
• Gluconeogenesis takes place in the liver and kidneys. Gluconeogenic substrates include glycerol, lactate, propionate, and certain amino acids.
• Glycolysis:
• Glycolysis is the metabolic process that breaks down glucose into pyruvic acid to produce energy.
• This process occurs in the cytosol of the cell cytoplasm. Glycolysis is an oxygen-independent metabolic pathway.

Given:

The simple interest on a certain sum for 3 years at 14% p.a. is ₹4,200 less than the simple interest on the same sum for 5 years at the same rate. 

Concept used:

Simple Interest, SI = (P × R × T)/100

Amount = P + SI

where

P = Principal amount

R = Rate of interest per year

T = Time in years

Calculation:

Let the principal amount be P.

​According to the question,

(P × 14 × 5)/100 - (P × 14 × 3)/100 = 4200

⇒ (P × 14 × 2)/100 = 4200

⇒ P = 15000

∴ The sum is ₹15,000.

Given:

450 men can finish the construction of an apartment in 20 days.

Concept used:

Total work = Number of workers × Efficiency of each worker × Number of days required

Calculation:

Let the efficiency of each man be M.

Total work = 450 × M × 20 = 9000M

Now, the number of men required to complete the task in 30 days = 9000M ÷ (M × 30) = 300

∴ 300 men can finish the construction in 30 days.

Given:

a + b = 11 and ab = 35

Concept used:

1. (a + b)² = a² + 2ab + b²
2. a² + b² = (a + b)² - 2ab

Calculation:

a + b = 11

⇒ (a + b)² = 11² (Taking square on both sides)

⇒ a² + 2ab + b² = 121

⇒ (a² + b²) = 121 - 2 × 35

⇒ (a2 + b2) = 51      ....(1)

Now, (a4 + b4)

⇒ (a²)² + (b²)²

⇒ (a² + b²)² - 2a²b²

⇒ (51)² - 2 × 35² (From 1)

⇒ 151

∴ The required value is 151.

Given:

Two numbers are in the ratio of 6 ∶ 5.

Their HCF is 3.

Concept used:

1. If P is the HCF of A and B then A = P × m & B = P × n. (Where m and n are arbitrary positive integers and they are co-prime to each other) 2. LCM is the smallest common multiple of two or more numbers.

Calculation:

First number = 6 × 3 = 18

Second number = 5 × 3 = 15

LCM (18, 15) = 3 × 6 × 5 = 90

∴  Their LCM is 90.

Shortcut Trick

Initial quantity = 25 litre, Replacement = 5 litre

Remaining fraction after 1 operation = (25 − 5) ÷ 25 = 4/5

Total operations = 1 + 2 = 3 times

Final Milk = 25 × (4/5)³ = 25 × 64/125 = 64/5 = 12.8 litre

∴ The correct answer is 12.8 litre.

Alternate Method

Given:

Initial quantity of milk (x) = 25 litre

Quantity replaced (y) = 5 litre

Total number of processes (n) = 3

Formula Used:

Final Quantity = x × (1 − y/x)ⁿ

Calculations:

⇒ Final Milk = 25 × (1 − 5/25)³

⇒ Final Milk = 25 × (1 − 1/5)³

⇒ Final Milk = 25 × (4/5)³

⇒ Final Milk = 25 × (64 ÷ 125)

⇒ Final Milk = 64 ÷ 5

⇒ Final Milk = 12.8 litre

∴ The correct answer is 12.8 litre.

Additional Information

Mixture Replacement Rule

When a fixed quantity is removed and replaced by another liquid 'n' times, the remaining quantity of the original liquid follows a geometric progression decrease.

Ratio of Liquids

After the process, the ratio of initial liquid to the replacing liquid (Water) can be found by (Initial Quantity − Final Quantity of Milk) : Final Quantity of Milk.

Successive Percentage Decrease

This problem is similar to population decrease or depreciation where the value decreases by a fixed percentage (here 20%) in each step.

Given:

x + y = 36

Formula used:

 a³ + b³ = (a + b)(a² - ab +  b2)

Calculation:

⇒ x + y = 36

⇒ x + y - 36 = 0    ................(1)

⇒ (x - 27) + (y - 9) = 0

Let consider (x - 27) = a and y - 9 = b.

 a3 + b3 = (a + b)(a2 + b2 - ab) using the formula, substitute the value of a and b

into the equation.

⇒  (x - 27)³ + (y - 9)³ = ( x - 27 + y - 9)((x - 27)² - (x - 27)(y - 9) + (y - 9)²)

⇒ (x - 27)3 + (y - 9)3 = ( x + y - 36)((x - 27)2 - (x - 27)(y - 9) + (y - 9)2)

The value of x + y - 36 = 0 from the equation (1).

⇒ (x - 27)3 + (y - 9)3 = (0)((x - 27)2 - (x - 27)(y - 9) + (y - 9)2)

⇒ (x - 27)³ + (y - 9)³ = 0

∴ The required value is 0.

Calculation:

The average number of bikes sold by P, Q, R and S = {(21 + 19 + 5 + 20)% × 2000} ÷ 4 = 325

So, the average number of bikes sold by T, U, V, and W = (2000 - 1300)/4 = 175

Now, the difference = 325 - 175 = 150

∴ The difference between the average number of bikes sold by P, Q, R and S and the average number of bikes sold by T, U, V and W is 150.

Given:

AB = AD = 7 cm and AC = AE and BC = 11 cm

Concept Used:

According to the concept of similarity, two triangles are said to be similar if two sides of one triangle are in the same ratio as two sides of the other triangle and the angle subtended by the two sides in both triangles is equal.

Calculation:

Since AB = AD, and AC = AE, by concept,

ΔABC ∼ ΔADE

Therefore, AB/AD = BC/ED = AC/AE

Now, AB/AD = BC/ED

⇒ 1 = 11/ED (∵ AB = AD)

⇒ ED = 11

∴ The length of ED is 11 cm.

Given:

$y + {{1} \over y} = 3$

Concept used:

(a + b)³ = a³ + b³ + 3ab(a + b)

Calculation:

$y + {{1} \over y} = 3$

⇒ $(y + {{1} \over y})^3 = 27$

⇒ $y^3 + {{1} \over y}^3 +3(y +\frac{1}{y})= 27$

⇒ $y^3 + {{1} \over y}^3 +3 \times 3= 27$

⇒ $y^3 + {{1} \over y}^3 +9= 27$

⇒ $y^3 + {{1} \over y}^3= 18$

⇒ ${{1} \over y^3} + y^3 + 2$ = 20

∴ The required answer is 20.

Given:

${{2 \tan 60°} \over 1+ \tan^260°}$

Concept used:

Calculation:

${{2 \tan 60°} \over 1+ \tan^260°}$

⇒ ${{2\sqrt3} \over 1+3}$

⇒ ${{2\sqrt3} \over 4}$

⇒ ${{\sqrt3} \over 2}$

⇒ ${{\sqrt3} \over 2}$ = sin 60°

∴ The required answer is sin 60°.

Calculation:

According to the question,

17.5% = 3.15 cr

1% = 3.15/17.5

100% = 18 cr

⇒ 18 cr

Now,

Total of expenditure on salary, taxes and infrastructure = 20 + 10 + 20

⇒ 50%

So, 50% = 0.18 × 50

⇒ 9 cr

∴ The required answer is 9 crores.

Given:

tan 240°

Concept used:

Calculation:

tan240°

⇒ tan(180 + 60)°

⇒ tan60°

⇒ √3

∴ The required answer is √3.

Calculation:

Total income of C1 in year P = 750

Total income of C2 in year Q = 250

So, required % = (750/250) × 100

⇒ 300%

So, statement I is wrong

Total income of C1 and C2 in T year = 530 + 270

⇒ 800

Average income = 800/2 = 400

So, statement II is correct

∴ The required answer is Option 1.

Mistake Point

We have to find which statement is not correct.

The income of C1 in year P is 300% of the income of C2 in year Q. So statement 1 is not correct.

The average income of C1 and C2 in year T is 400. So statement 2 is correct.

That's why option 1 is the correct answer. Please go through the question again.

Given:

Discounts are 15% and 12%

Concept used:

Successive discount = x + y - (xy)/100

Here,

x and y are two individual discounts

Calculation:

According to the concept,

Single discount = 12 + 15 - (15 × 12)/100

⇒ 27 - 180/100

⇒ 27 - 1.8

⇒ 25.2

∴ The required answer is 25.2%.

Given:

A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm.

Concept used:

Volume of sphere = 4/3πr3

Volume of cylinder = πr²h

Calculation:

Radius of sphere = 9 cm

Radius of wire = 0.3 cm  [As 1 cm = 10 mm]

According to the question,

Volume of sphere = Volume of cylinder

⇒ 4/3π93 = π0.3²x

⇒ 4/3 × 729 = 0.32x

⇒ 4 × 243 = 0.09x

⇒ x = 10800 cm = 108 m

∴ The length of the wire is 108 m.

Given:

A solid metallic sphere of radius 13 cm is melted and recast into a cone having diameter of the base as 13 cm.

Concept used:

Volume of a cone = 1/3πr2h

Volume of a sphere = 4/3πr3

Calculation:

According to the question,

4/3πr³ = 1/3πr²h

Let height of the cone be h

So,

4 × 13³ = (13/2)² × h

⇒ h = 4 × 13³ × (2/13)2

⇒ h = 16 × 13

⇒ h = 208

So, height = 208 cm

∴ The required answer is 208 cm.

Given:

tanθ + secθ= 7

Concept used:

1. sec2θ - tan2θ = 1 2. tanα = sinα/cosα 3. secα = 1/cosα

Calculation:

tanθ + secθ = 7      ....(1)

We know,

sec²θ - tan²θ = 1

⇒ (secθ - tanθ)(secθ + tanθ) = 1

⇒ (secθ - tanθ) × 7 = 1 (From 1)

⇒ (secθ - tanθ) = 1/7      ....(2)

By adding (1) and (2) we get,

⇒ 2 secθ = 7 + 1/7 = 50/7

⇒ secθ = 25/7

By subtracting (1) and (2) we get,

⇒ 2 tanθ = 7 - 1/7 = 48/7

⇒ tanθ = 24/7 

secθ = 25/7 and tanθ = 24/7

So, sinθ

⇒ tanθ ÷ secθ

⇒ 24/7 ÷ 25/7

⇒ 24/25

Now, 5sinθ

⇒ 5sinθ =  5 × 24/25 = 24/5

∴ The value of 5sinθ is ${{24} \over 5}$.

Shortcut Trick

sec θ + tan θ = 7 … (i)

Then, sec θ - tan θ = `1/7… (ii)  (as, sec2θ - tan2θ = 1)

Adding the equations we get,

⇒ 2sec θ = 50/7 

⇒ sec θ = 25/7 = Hypo/Base

So, sin θ = 24/25 

⇒ 5sin θ = 24/25 × 5 = 24/5

Concept used:

An exterior angle of a triangle is equal to the sum of the two interior opposite angles.

Calculation:

​According to the concept,

Considering ΔACD, y + 110° = 120°

⇒ y = 10°

Considering ΔABC, the sum of two interior angles of a triangle is equal to the exterior angle of the third angle.

hence, x + z = 110°

Now, x + y + z

⇒ 110° + 10° = 120°

∴ The measure of x + y + z is 120°.

Shortcut Trick

Let Expenditure = 5 and Savings = 1 → Income = 6.

Income increase = 10% of 6 = 0.6.

Expenditure increase = 20% of 5 = 1.0.

Savings change = Income change − Expenditure change = 0.6 − 1.0 = −0.4.

Percentage change = (−0.4 / 1) × 100 = −40%.

∴ The correct option is D.

Alternate Method

Given:

Ratio of Expenditure to Savings = 5 ∶ 1

Increase in Income = 10%

Increase in Expenditure = 20%

Formula Used:

Income = Expenditure + Savings

Percentage Change = (New Value − Old Value) ÷ Old Value × 100

Initial: Income 600 (Ratio 5:1) Expenditure: 500 Sav: 100

New: Income 660 (+10%), Exp 600 (+20%) New Expenditure: 600 New Sav: 60 Savings Change: 100 → 60 (−40% = 0.4)

⇒ Let Savings = 100 and Expenditure = 500.

⇒ Total Income = 500 + 100 = 600.

⇒ New Income = 600 + (10% of 600) = 600 + 60 = 660.

⇒ New Expenditure = 500 + (20% of 500) = 500 + 100 = 600.

⇒ New Savings = New Income − New Expenditure = 660 − 600 = 60.

⇒ Change in Savings = 60 − 100 = −40.

⇒ Percentage change in Savings = (−40 ÷ 100) × 100 = −40%.

⇒ In decimal form, the change magnitude is 0.4.

∴ The correct option is D.

Additional Information

Income Identity

The fundamental relation is Income = Expenditure + Savings. Any change in two variables directly determines the third.

Percentage Change

Percentage change = (Difference ÷ Original Value) × 100. A negative result indicates a decrease.

Ratio Scaling

When dealing with ratios and percentages, scaling values to 100 or 1000 (e.g., 5:1 to 500:100) simplifies calculations significantly.

Given:

2727 + 27

Concept used:

Aⁿ + Bⁿ is divisible by (A + B) when n is odd.

Calculation:

Now, (2727 + 27)

⇒ (2727 + 1²⁷ + 27 - 1)

⇒ (2727 + 127) + 26

Here, according to the concept, (2727 + 127) is divisible by (27 + 1) i.e. 28.

Hence, the remainder = 26

∴ The remainder when 2727 + 27 is divided by 28 is 26.

Calculation:

Number of female students who opted biology in school B = 400 × 36% × 7/(7 + 5) = 84

Number of female students who opted biology in school D = 800 × 18% × 9/(3 + 9) = 108

Now, the ratio = 84 : 108 = 7 : 9

∴ The ratio of the number of female students who opted for biology in school B and school D is 7 : 9.

Given:

In triangle ABC, the bisector of angle BAC cuts the line BC at D.

BD = 6 and BC = 14 

Concept used:

Angle Bisector Theorem: The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle.

Calculation:

DC = BC - BD  = 14 - 6 = 8 cm

According to the Angle Bisector Theorem,

BD/CD = AB/AC

⇒ 6/8 = AB/AC

⇒ AB : AC = 3 : 4

∴ The value of AB : AC is 3 : 4.

Given:

A takes 4 times as much time as B or 5 times as much time as C to finish a piece of work.

Working together, they can finish the work in 4 days. 

Concept used:

1. Efficiency (work done per day) of workers is inversely proportional to the time taken by workers to complete a particular task. 2. Total work = Efficiency (Work done per day) × Total time taken

Calculation:

Let the efficiency of A be P.

Hence, the efficiencies of B and C are 4P and 5P respectively.

Total work = 4 × (P + 4P + 5P) = 40P units

Now, B can do the work alone in = 40P/4P = 10 days

∴ B alone can do the work in 10 days.

Given: 

A swimmer swims from point P against the current for 6 min and then swims back along the current for next 6 min and reaches at a point Q.

The distance between P and Q is 120 m.

Concept used:

1. 6 min = 360 seconds 2. While rowing upstream, the upstream speed is the difference between the speed of the boat in still water and the speed of the flow.
2. While rowing downstream, the downstream speed is the addition of the speed of the boat in still water and the speed of the flow. 4. 1 m/s = 18/5 km/h
3. Distance = Time × Speed

Calculation:

Let's suppose the swimmer started from P and swam 360 seconds to R against the current, then return to Q swimming for 360 seconds.

Let the speed of the swimmer in still water and the current be U and V m/s respectively.

​According to the question,

PR = 360(U - V)      ....(1)

QR = 360(U + V)      ....(2)

So, PQ = QR - PR

⇒ 120 = 360(U + V - U + V) (From 1 and 2)

⇒ V = 1/6

So, the speed of the current = 1/6 m/s

Now, the speed of the current = 1/6 × 18/5 = 0.6 km/h

∴ The speed of the current is 0.6 km/h.

Given:

Kapil sells a mobile to Sachin at a gain of 15% and Sachin again sells it to Rohit at a profit of 12%.

Rohit pays Rs.322.

Concept used:

1. Selling Price = Cost Price × (1 + Gain%) 2. Final percentage change after two successive increments of A% and B% = $(A + B + {AB \over 100})\%$

Calculation:

Total profit percentage = $15 + 12 + \frac {15 × 12}{100}$ = 28.8%

Now, the cost price of the mobile for Kapil = 322 ÷ (1 + 28.8%) = Rs. 250

∴ The cost price of the mobile for Kapil is Rs. 250.

Shortcut Trick 

We know 15% = 3/20 and 12% = 3/25

In the 1st transaction at 15% profit, Kapil : Sachin = 20 : 23

In the 2nd transaction at 12% profit Sachin : Rohit = 25 : 28

So, Kapil : Sachin : Rohit = 500 : 575 : 644

Here, 644 unit → Rs.322

Then, 500 unit → 322/644 × 500 = Rs.250

The correct answer is 'Barren'.

Key Points

• The most appropriate antonym of the given word 'Fertile' is 'Barren'
• Fertile: (used about land or soil) that plants grow well in. [(ज़मीन या मिट्टी) उपजाऊ]
• Example: The ploughed earth looked rich and dark and fertile.
• Barren: (used about land or soil) not good enough for plants to grow on. [(भूमि या मिट्टी) पौधों वृद्धि के लिए अनुपयुक्त, ऊसर, बंजर]
• Example: He also wants to use the water to irrigate barren desert land.
  

Correct Answer: Barren.

Additional Information

• Let's look at the meaning of other words:
• Fecund: able to produce a lot of children, crops, young animals, etc. [(बच्चे, फ़सल आदि) ऊर्वर, बहुफलदायक, उपजाऊ, बहु प्रसव]
• Rich: having a lot of money or property; not poor. [धनी, अमीरी (धन और संपत्ति वाला); ग़रीब नहीं]
• Wet: covered in a liquid, especially water. [(पानी या अन्‍य द्रव से) गीला, तर, भीगा हुआ, आर्द्र, नम]

The correct answer is 'The latest assignment was explained to Lana by the manager.'

Key Points

• The given sentence is in Active Voice. As per the given question, we have to change it to Passive Voice.
• The structure of the given sentence is as follows:
• Subject + V2 + Object. (Active Voice)
• Subject (objective case) + was/were + V3 + Object (subjective case). (Passive Voice)
• Example:
• Their cousin showed them some rare photographs. (Active Voice)
• They were shown some rare photographs by their cousin. (Passive Voice)
• The subject of the given sentence is 'The manager'.​​
• The object of the given sentence is 'the latest assignment.
• The subject will be put in place of the object and the object will be put in place of the subject.
• And 'explained' will be changed into 'was explained'.
• Lastly, the preposition 'by' will be added.
  

Correct Sentence: The latest assignment was explained to Lana by the manager.

The correct answer is 'Temporary'.

Key Points

• The most appropriate synonym of the given word 'Transient' is 'Temporary'.
• Transient: lasting or continuing for a short period of time. (कुछ अवधि तक जारी रहनेवाला; क्षणिक, क्षणभंगुर, अस्थायी)
• Example: transient anger...
• Temporary: lasting for a short time; not permanent. (अल्‍पकालिक, अस्‍थायी)
• Example: a temporary job...
  

Correct Answer: Temporary.

Additional Information

• Let's look at the meaning of other words:
• Transform: to change somebody/something completely, especially in a way which improves him/her/it. [किसी व्यक्ति या वस्‍तु को पूरी तरह बदल देना (विशेषतया उसमें सुधार लाते हुए), (का) रूपांतरण कर देना]
• Transmit: to send out television or radio programmes, electronic signals, etc. (टीवी या रेडियो कार्यक्रमों, विद्युत संकेतों आदि को प्रसारित करना)
• Trap: a piece of equipment that you use for catching animals. (जंतुओं को पकड़ने के लिए प्रयुक्त फंदा; जाल)

The correct answer is She said to me, “Why were you smoking today?”

Key Points

• The given sentence is in Indirect Speech. As per the question we have to change it to Direct Speech.
• The process of transformation is as follows:
• 'Asked' will be changed into 'said to' because the given question is an example of an interrogative sentence with a question word.
• Commas and inverted commas will be added.
• 'had been smoking' will be changed into 'were smoking'. Because in 'Indirect to Direct' transformation 'past perfect continuous' tense is changed into 'past continuous'.
• 'I' will be changed into 'you' because in 'direct to indirect' transformation first-person pronoun is changed according to the subject of the reporting verb.
• 'Why' will be used as a conjunction because we know that in an interrogative sentence with a question word, the question word itself is used as a conjunction.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1. 
  

Correct Sentence: She said to me, “Why were you smoking today?”

The correct answer is 'Brilliant'.

Key Points

• The most appropriate word for the underlined part is 'Brilliant'.
• Brilliant: extremely intelligent or skilled. (अत्यंत बुद्धिमान या कुशल)
• Example: She seemed to have a brilliant career ahead of her
• The correct collocation here is brilliant. We say 'a brilliant student' rather than 'a splendid/dazzling/vivid student'.
• Thus, the correct answer is Option 2.
  

Correct Answer: Navika is a brilliant child in her class. 

Additional Information

• Let's look at the meaning of other words:
• Splendid: very good; excellent. (बहुत अच्‍छा; अत्‍युत्तम)
• Dazzling: extremely bright, especially so as to blind the eyes temporarily. (चौंधिया देने वाला)
• Vivid: having or producing a strong, clear picture in your mind. [सजीव और सुस्‍पष्‍ट (प्रभाव होने व उत्‍पन्‍न करने वाला)]

The correct answer is 'Formal'.

Key Points

• The most appropriate antonym of the given word 'Casual' is 'Formal'.
• Casual: relaxed and not worried; without showing great effort or interest. (तनावमुक्त और अचिंतित; प्रयास, परवाह या रुचि से वंचित)
• Example: I’m not happy about your casual attitude to your work.
• Formal: (used about language or behaviour) used when you want to appear serious or official and in situations in which you do not know the other people very well. [(भाषण या आचरण) औपचारिक, गंभीरतापूर्ण और ऐसी स्थिति में उपयुक्त जिसमें अन्‍य व्‍यक्ति आपके सुपरिचित न हों]
• Example: ‘Yours faithfully’ is a formal way of ending a letter.
  

Correct Answer: Formal.

Additional Information

• Let's look at the meaning of other words:
• Spiritual: concerning deep thoughts, feelings or emotions rather than the body or physical things. [गहन विचारों, भावनाओं या मनोभावों से संबंधित (न कि शरीर या भौतिक वस्‍तुओं से) आत्मिक; आध्‍यात्मिक]
• Personal: of or belonging to one particular person. (व्‍यक्ति-विशेष का या उससे संबंधित; व्‍यक्तिगत, वैयक्तिक)
• Traditional: existing in or as part of a tradition; long-established. (परंपरागत, पारंपरिक)

The correct answer is yesterday.

Key Points

• The correct replacement of the underlined word with the adverb of time is 'yesterday'.
• The other options are not adverbs of time. Option A, "twice", is an adverb of frequency, but it does not accurately describe how often the person went to Paris.
• Since the question has been asked for 'Adverb of Time' and the following words represent the same i.e. (Adverb of Time).
• Soon now, later, then, tomorrow, today, day after tomorrow, everyday, weekly, annually, quarterly, yearly, yesterday, last month, tonight, last week, immediately, etc. are some examples of adverbs of time.
  

Note- Twice, Often (Adverb of Frequency).

• Thus, the marked option is correct.

Correct Sentence: I went to Paris yesterday.