SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4) (Previous Year Paper)

Logic :

1. First three and last three letters→  (2) is added to the position value according to the English alphabetic series.
2. Fourt, fifth and sixth letter → No change.

​So,

• ​'EDUCATION' is written as 'GFWCATKQP'​

​And,

• ‘PROFESSOR’ is written as ‘RTQFESUQT’

​

​Similarly,

• 'FACULTIES' is written as :​

Hence, "HCEULTKGU" is the correct answer.

According to the question**,** after interchanging the given two signs and numbers :

1. • and ×
2. 1 and 2

So,

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

​​After interchanging:

8 + 3 – 4 ÷ 1 × 2 = 7

8 + 3 – 4 × 2 = 7

8 + 3 - 8 = 7

11 - 8 = 7

3 ≠ 7 (LHS ≠ RHS)

• Option - (2) : 2 × 3 – 8 ÷ 1 + 9 = 18

​After interchanging:

1 + 3 – 8 ÷ 2 × 9 = 18

1 + 3 - 4 × 9 = 18

1 + 3 - 36 = 18

4 - 36 = 18

-32 ≠ 18 (LHS ≠ RHS)

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

​​After interchanging:

8 + 3 – 4 ÷ 1 × 2 = 3

8 + 3 – 4 × 2 = 3

8 + 3 - 8 = 3

11 - 8 = 3

3 = 3 (LHS = RHS)

• Option - (4) : 2 × 3 – 8 ÷ 1 + 2 = 5

​​After interchanging:

1 + 3 – 8 ÷ 2 × 1 = 5

1 + 3 - 4 × 1 = 5

1 + 3 - 4 = 5

4 - 4 = 5

0  ≠ 5 (LHS ≠ RHS)

Here, digit - (2) is repeated, therefore this option is invalid.

Hence, "Option - (3)" 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 2 is common in both figure 1 and figure 3, it is clear that 3, 4, 5 and 6 are adjacent to it, and the remaining number i.e., 2 will be opposite to it.

Opposite pairs:

3 → 5

4 → 6

2 → 1

So, the opposite side of "2" will be side "1".

Hence, the correct answer is "1".

The logic followed here is:

Logic: (3^rd number × 2) - 1^st number = 2^nd number.

(6, 22, 14)

→ 14 × 2 - 6 = 22.

(8, 30, 19)

→ 19 × 2 - 8 = 30.

Similarly, for (4, 18, 11)

→ 11 × 2 - 4 = 18.

Hence, the correct answer is "Option 2".

Alternate Method

Logic :  3^rd number - (1^st number ÷ 2) = 2^nd number ÷ 2

Given :

• (6, 22, 14)

​14 - 6 ÷ 2  = 22 ÷ 2

14 - 3 = 11

11 = 11 (LHS = RHS)

• (8, 30, 19)​

​19 - 8 ÷ 2  = 30 ÷ 2

19 - 4 = 15

15 = 15 (LHS = RHS)

​So,

• Option - (1) : (12, 46, 27)​

​27 - 12 ÷ 2  = 46 ÷ 2

27 - 6 = 23

21 ≠ 23 (LHS ≠ RHS)

• Option - (2) : (4, 18, 11)​

​11 - 4 ÷ 2  = 18 ÷ 2

11 - 2 = 9

9 = 9 (LHS = RHS)

• Option - (3) : (7, 26, 17)​

​17 - 7 ÷ 2  = 26 ÷ 2

17 - 3.5 = 13

13.5 ≠ 13 (LHS ≠ RHS)

• Option - (4) : (9, 34, 22)​

​22 - 9 ÷ 2  = 34 ÷ 2

22 - 4.5 = 17

17.5 ≠ 17 (LHS ≠ RHS)

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

Logic :  (1^st number ÷ 3^rd number)² = 2^nd number 

Given :

• (63, 81, 7)

​$(63 \div 7)^2$ = 81

$(9)^2$ = 81

81 = 81 (LHS = RHS)

• (84, 49, 12)​

​$(84 \div 12)^2$ = 49

$(7)^2$ = 49

49 = 49 (LHS = RHS)

​So,

• Option - (1) : (99, 121, 9)​

​$(99 \div 9)^2$ = 121

$(11)^2$ = 121

121 = 121 (LHS = RHS)

• Option - (2) : (76, 234, 12)​

​$(76 \div 12)^2$ = 234

$(6.33)^2$ = 234

40 ≠ 234 (LHS ≠ RHS)

• Option - (3) : (12, 125, 56)​

​$(12 \div 56)^2$ = 125

$(0.21)^2$ = 125

0.0441 ≠ 125 (LHS ≠ RHS)

• Option - (4) : (78, 14, 56)​

​$(78 \div 56)^2$ = 14

$(1.39)^2$ = 14

1.93 ≠ 14 (LHS ≠ RHS)

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

Logic : (1^st number × 2^nd number) = 3^rd number 

Given :

• (22, 9, 198)

22 × 9 = 198

198 = 198 (LHS = RHS)​

​So,

• Option - (1) : (19, 7, 133)

19 × 7 = 133

133 = 133 (LHS = RHS)​

• Option - (2) : (26, 5, 130)​

26 × 5 = 130

130 = 130 (LHS = RHS)

• Option - (3) : (28, 7, 196)​

28 × 7 = 196

196 = 196 (LHS = RHS)

• Option - (4) : (17, 9, 157)​

17 × 9 = 153

153 ≠ 157 (LHS ≠ RHS)

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

Given :

Statement given : A # B – C @ D + E

So,

• A # B → A is the daughter of B.

• B – C → B is the mother of C.

• C @ D → C is the son of D.

• D + E → D is the father of E.

​

Thus, according to the final family tree, A is the sister of E.

Hence, "Sister" is the correct answer.

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

Conclusions:

I. All knives are plates → Follow (As all knives are forks and all forks are plates. So, as whole knives come in forks which further whole comes in plates therefore it is definitely true)

II. All plates are spoons → Does not follow (As all spoons are and all forks are plates. So, it is possible but not definitely true)

III. Some plates are knives → Follow (As all knives are forks and all forks are plates. So, as whole knives comes in forks which further whole comes in plates therefore it is definitely true)

∴ Here, Both conclusions I and III follow.

Hence, the correct answer is "Both conclusions I and III follow".

The logic followed here is:

First multiplied by (3), then added (2) subsequently.

Hence, "3" is the correct answer.

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

Conclusions:

I. All Q are R → Does not follow (As all R are Q. So, it is possible but not definitely true)

II. All P are R → Does not follow (As all P are Q and all R are Q. There is no definite relation between P and R So, it is possible but not definitely true)

∴ Here, Neither conclusion follows.

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

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

1) For '

' element : Shifting in the anti-clockwise direction subsequently.

2) For '

' element : Shifting in the anti-clockwise direction subsequently.

3) For '

' element : Rotating in the anti-clockwise direction subsequently.

Final series is :

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

According to the sequence in the dictionary:

4. Latitude
5. Laudanum
6. Laudatory
7. Launder
8. Laureate
9. Legacy
10. Lesage

Hence, the correct option is "4, 6, 2, 7, 3, 5, 1".

The position of the English alphabet letters is given below:

    

Hence, the correct answer is "MXJY".

Logic : (2^nd number - 1^st number) = (3^rd number - 2^nd number)

​So,

• Option - (1) : (90 –93 –96)

93 - 90 = 96 - 93

3 = 3 (LHS = RHS)​

• Option - (2) : (84 –87 –90)

87 - 84 = 90 - 87

3 = 3 (LHS = RHS)

• Option - (3) : (44 –49 –52)​

49 - 44 = 52 - 49

5 ≠ 3 (LHS ≠ RHS)

• Option - (4) : (58 –61 –64)​

61 - 58 = 64 - 61

3 = 3 (LHS = RHS)

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

Given :

So,

• Option - (1) → Q – P × R ⇒ Q is the father of P who is the mother of R.

Here, P is the mother of R.

• Option - (2) → P – Q ÷ R ⇒ P is the father of Q who is the sister of R.

Here, P is the father of R.

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

Here, P is the grand father of R.

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

​

Here, P is the daughter of R.

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

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

1) For 'I' element : Shifting alternately to right up corner and then left up corner subsequently.

2) For 'Z' element : Replacing by C and 8, and Shifting alternately to right up corner and then left up corner subsequently.

3) For 'B' and 'K' element : B replaced by 'T' element and K replaced by 'S' element, then interchanged alternatively in anticlockwise direction.

4. Last three terms are getting interchanged alternatively in clockwise direction.

Final series is :

Hence, ‘Option 1’ is the correct answer.

Given:

 

• The image must not to be rotated

 

  

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

By the logic followed here,

A Beehive is a dome-shaped or box-like structure in which bees live.

Similarly,

A kennel or dog house is a small shelter for dogs.

So, the correct answer is "kennel".

 Additional Information

1. stables → it is the accommodation of horses.

2. Farm → home to cows and sheep.

3. Canopy → It is a simple thatched structure or canopy used to store goods or shelter animals.

The logic followed here is :

• A tailor uses a sewing machine for sewing clothes.

Similarly,

• Option - (1) : Electrician ∶ Expensive

⇒Electrician use electrical tools. 

• Option - (2) : Farmer ∶ Plants

​⇒Farmer use planting tools.

• Option - (3) : Scissors ∶ Hair

​⇒Scissors is used to cut things like hair.

• Option - (4) : Police ∶ Handcuffs

​⇒Police uses handcuff. 

Here, out of all the options only option - (4) follows the same logic as given.

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

Logic : Position value according to the English alphabetic series are added.

​So,

• STEAMER is coded as 81​

​

​And,

• CRUISE is coded as 75​

​Similarly,

• SUBMARINE is coded as :​

Hence, "102" is the correct answer.

Logic :

1. First letter →  (2) is subtracted from 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 subtracted from the position value according to the English alphabetic series.

​So,​

Hence, "LRM" is the correct answer.

Given statement : 66 * 6 * 12 * 3 * 15 = 12

According to the question, after replacing the * signs :

So,

• Option - (1) : ÷, −, ×, +

66 ÷ 6 − 12 × 3 + 15 = 12

11 − 12 × 3 + 15 = 12

11 + 15 - 36 = 12

26 - 36 = 12

-10 ≠ 12 (LHS ≠ RHS)

• Option - (2) : +, −, ÷, ×

66 + 6 − 12 ÷ 3 × 15 = 12

66 + 6 − 4 × 15 = 12

66 + 6 − 60 = 12

72 - 60 = 12

12 = 12 (LHS = RHS)

• Option - (3) : ÷, ×, +, −

66 ÷ 6 × 12 + 3 − 15 = 12

11 × 12 + 3 − 15 = 12

132 + 3 - 15 = 12

135 - 15 = 12

115 ≠ 12 (LHS ≠ RHS)

• Option - (4) : ×, −, ÷, +

66 × 6 − 12 ÷ 3 + 15 = 12

66 × 6 − 4 + 15 = 12

396 + 15 - 4 = 12

411 - 4 = 12

407 ≠ 12 (LHS ≠ RHS)

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

Given statement : 54 - (3 × 12) ÷ (8)${{1} \over 3}$ + (11 × 4) + 6 = 69

According to the question, after interchanging the two numbers:

So,

• Option - (1) : 11 and 6

Given statement : 54 - (3 × 12) ÷ (8)${{1} \over 3}$ + (11 × 4) + 6 = 69

After Interchanging: 

54 - (3 × 12) ÷ (8)${{1} \over 3}$ + (6 × 4) + 11 = 69

54 - 36 ÷ 2 + 24 + 11 = 69

54 + 24 + 11 - 18 = 69

89 - 18 = 69

71 ≠ 69 (LHS ≠ RHS)

• Option - (2) : 4 and 12

 

Given statement : 54 - (3 × 12) ÷ (8)${{1} \over 3}$ + (11 × 4) + 6 = 69

After Interchanging: 

54 - (3 × 4) ÷ (8)${{1} \over 3}$ + (11 × 12) + 6 = 69

54 - 12 ÷ 2 + 132 + 6 = 69

54 + 132 + 6 - 6 = 69

192 - 6 = 69

186 ≠ 69 (LHS ≠ RHS)

• Option - (3) : 6 and 4

 

Given statement : 54 - (3 × 12) ÷ (8)${{1} \over 3}$ + (11 × 4) + 6 = 69

After Interchanging: 

54 - (3 × 12) ÷ (8)${{1} \over 3}$ + (11 × 6) + 4 = 69

54 - 36 ÷ 2 + 66 + 4 = 69

54 + 66 + 4 - 18 = 69

124 - 18 = 69

106 ≠ 69 (LHS ≠ RHS)

• Option - (4) : 3 and 4

 

Given statement : 54 - (3 × 12) ÷ (8)${{1} \over 3}$ + (11 × 4) + 6 = 69

After Interchanging: 

54 - (4 × 12) ÷ (8)${{1} \over 3}$ + (11 × 3) + 6 = 69

54 - 48 ÷ 2 + 33 + 6 = 69

54 + 33 + 6 - 24 = 69

93 - 24 = 69

69 = 69 (LHS = RHS)

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

Logic :

1. First and fourth letter →  Difference between the position value according to the English alphabetic series is 6.
2. Second and third letter → Difference between the position value according to the English alphabetic series is 5.

​​So,​

• Option - (1) : EQVK

​

• Option - (2) : RDIX

​

• Option - (3) : QFJV

​

• Option - (4) : IMRO

​

Here, out of all options only 'QFJV' doesn't follow the same logic as given.

Hence, "QFJV" is the correct answer.

Given:

• The image must not to be rotated

 

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

The correct answer is 1878.

Key Points

• Between 1876 until 1880, Lord Lytton held the position of Viceroy of India.
• He approved both the 1878 Arms Act and the Vernacular Press Act.
• The Arms Act was developed by the British during the 19^th century in response to the rising Indian nationalism.
• It became law in 1878.
• The production and sale of firearms in the nation were controlled by this statute.
• No Indian was permitted to produce, market, or even possess a weapon without first obtaining a government permission.
• The British intended to prevent Indians from possessing rifles and pistols because they did not want another uprising like the one that occurred in **1857 CE.**​

Additional Information

• The Indian Parliament passed the Arms Act of 1959.
• Its goal was to strengthen and reform the law governing firearms and ammunition in an effort to stop the use of illegal weapons and the violence that results from them.
• The Indian Arms Act of 1878 was replaced by it.
• In 1959, the Arms Act was adopted.​

The correct answer is cheese.

Key Points

• Roquefortine C:
• A naturally occurring 2,5-diketopiperazine class of mycotoxin is known as roquefortine C.
• It is generated by a variety of fungi, mainly those from the genus Penicillium.
• It was first discovered in a strain of the bacterium Penicillium roqueforti.
• Penicillium roqueforti is utilized commercially as a source of proteolytic and lipolytic enzymes in the maturing of blue-veined cheeses such as Roquefort, Danish Blue, Stilton, and Gorgonzola.

Additional Information

• A common and widely distributed saprophytic fungus is Penicillium roqueforti.
• It is possible to isolate it from the soil, decomposing organic matter, and plant materials.
• This fungus is mostly used in industry to make blue cheese, flavoring compounds, antibacterials, polysaccharides, proteases, and other enzymes.
• They do create human poisons and allergens, in addition to other antibacterial metabolites, but no medically effective antibiotics.

The correct answer is Kerala.

Key Points

Mohiniyattam:

• It is one of the two classical dance forms that originated in Kerala, the other one being Kathakali.
• Mohiniyattam gets its name from the word 'Mohini', the feminine form of Lord Vishnu, the word means 'dance of Mohini'.
• Dr. Sunanda Nair became the first in India to acquire a Master's degree in Mohiniyattam. She completed her Ph.D. thesis in Intrinsic Lyrical Feminism in Mohiniyattam from Mumbai University.
• Mohiniyattam is based on Natya Shastra's lasya style.
• It has delicate movements and more feminine facial expressions.
• The movements are gentle and glide-like.
• They do not have terse rhythmic steps.
• More emphasis is on facial expressions and hand gestures.

Additional Information

• The Sangeet Natak Akademi recognizes 8 classical dances in India.
• 8 Classical Dances of India and States:

The correct answer is Aschelminthes. 

Key Points

• ​Roundworms are the popular name for Aschelminthes.
• They are distinguished by having a pseudocoelom.
• They either live freely or are parasites.
• They can be found on plants, animals, humans, and even in freshwater and soil.
• In the human intestine, Ascaris is discovered to exist as an endoparasite.
• The body is triploblastic and bilaterally symmetric.
• The body is long, slender, and not segmented; it tapers out at the end.
• There is no evidence of metameric segmentation.
• Males are often smaller than females since they are dioecious.
• Their bodies are organised on an **organ-system level.**​

Additional Information

• Platyhelminthes:
• The flatworms, also known as platyhelminths, are a phylum of soft-bodied, relatively uncomplicated bilaterian invertebrates.
• They are bilaterally symmetrical, triploblastic, and acoelomate.
• They could be parasites or free-living beings.
• Ctenophores:
• Sea waters are home to a phylum of marine invertebrates known as comb jellies, or Ctenophora.
• They have two embryonic layers, the ectoderm and endoderm, making them diploblastic.
• They lack a bodily cavity since they are acoelomates.
• Ctenophores are symmetrical in all directions.
• Mollusca:
• After Arthropoda, Mollusca is the second-largest phylum of invertebrate animals.
• Organ system level organization can be seen in them.
• A cavity exists in their body.
• The skull, visceral mass, muscular foot, and mantle are the different parts of the body.
• Tentacles and complex eyes make up the head.
• The body has a calcareous shell covering it.

The correct answer is Marcellin Berthelot.

Key Points

• The Thomsen-Berthelot principle of thermochemistry was developed by Republican politician and French chemist Marcellin Berthelot.
• He created numerous organic compounds from inorganic compounds.
• He conducted studies on reaction rates, the synthesis of hydrocarbons, and alcohols and carboxylic acids.
• He researched explosive mechanisms and found several **compounds of coal tar.**​

Additional Information

• ​Jacob Berzelius:
• Jacob Berzelius is considered to be one of the founders of modern chemistry.
• He is referred to as the "Father of Swedish Chemistry" in Sweden.
• On August 20^th, it is recognised as Berzelius Day in his honour.
• Auguste Laurent:
• French chemist Auguste Laurent contributed to the development of organic chemistry by discovering Anthracene, Phthalic acid, and Carbolic acid.
• Antoine Lavoisier:
• The scientist and Nobleman Antoine Lavoisier were from France.
• He challenged the phlogiston idea and recognised and called oxygen (1778) and hydrogen (1783).

The correct answer is 2007.

Key Points

• ​Indian playback singer, music director, and musician Manna Dey were well-known and renowned on a global scale.
• He received his classical voice training from Ustad Aman Ali Khan.
• He belonged to the Bhendibazaar Gharana.
• In 1971 and 2005, the Indian government presented him with the Padma Shri and Padma Bhushan awards, respectively.
• In 2007, he received the Dadasaheb Phalke Award.

Additional Information

• The Dadasaheb Phalke award for 2022

The correct answer is Andhra Pradesh.

Key Points

• Ugadi
• Ugadi, which is observed as Andhra Pradesh's Hindus' New Year's Day, is observed on the first day of the Hindu Luni-Solar Calendar in the month of Chaitra.
• According to the Gregorian calendar, it takes place in either March or April.
• This Indian holiday heralds the arrival of pleasure, joy, hope, and light.
• The Sanskrit words "Yuga," which means age, and "adi," which means the beginning, are combined to form the word "Ugadi."
• It denotes the start of a new era in plain terms.
• In Karnataka, Andhra Pradesh, and Telangana, this holiday is celebrated with great zeal and passion.

Additional Information

 

Confusion Points

• Ugadi is celebrated in the states of Andhra Pradesh, Telangana, Karnataka and Goa in India.

The correct answer is Parameswaran Iyer.

Key Points

• The current CEO of NITI Aayog is an Indian government officer by the name of Parameswaran Iyer.
• The Indian government launched the Swachh Bharat Mission, a nationwide sanitation programme, in 2014.
• He served as its leader.
• NITI Aayog:
• NITI Aayog is evolving into a cutting-edge resource center with the knowledge and abilities that will allow it to
• respond quickly,
• support research and innovation,
• offer the government a strategic policy vision, and
• handle unforeseen difficulties.
• The NITI Aayog is founded on seven pillars:
• pro-activity,
• pro-people,
• participation,
• empowerment,
• inclusion of all,
• equality, and
• transparency.
• Formed: 1 January 2015

Headquarters: New Delhi

Chairperson: Narendra Modi

Additional Information

• Avinash Kulkarni:
• Blue Planet Solutions' founder and CEO is Avinash Kulkarni.
• Krishna Srinivasan:
• ​Director of the Asia and Pacific Department is Krishna Srinivasan.

The correct answer is Eloquence.

 Key Points

• ​According to the constitution, The maximum strength of the Rajya Sabha is 250. But the current strength of the Rajya Sabha is 245.
• Out of 250, the president will propose 12 members from among those with expertise in literature, science, the arts, or social services, as well as up to 233 representatives from the states and union territories.

Additional Information

• The upper house of India's bicameral parliament is known as the Rajya Sabha.
• It can have up to 245 members as of 2022.
• Article 80 of the Indian Constitution states that the Rajya Sabha has a maximum seating capacity of 245 members (233 elected, 12 appointed).
• Members serve six-year terms that are staggered.
• The vice president of India serves as the Rajya Sabha's official chairman.
• The Rajya Sabha's deputy chairman is chosen from among the body's members.

The correct answer is Fifth.

Key Points Fifth Five-Year Plan

• The Fifth Five-year Plan emphasized the ‘removal of poverty and attainment of self-reliance.
• The fifth Five Year Plan duration was from 1974 to 1978. This plan focussed on Garibi Hatao, employment, justice, agricultural production, and defense.
• This plan was terminated in 1978 by the newly elected Moraji Desai government.
• The Electricity Supply Act was amended in 1975, a Twenty-point program was launched in 1975, the Minimum Needs Programme (MNP), and the Indian National Highway System was introduced. ​

Additional Information

• Five-year plans :​

The correct answer is Ramprasad Bismil.

Key Points

• These lines became a war cry for India’s freedom struggle against the British.
• These lines were recited by the revolutionary Ram Prasad Bismil before he was hanged to death.
• A freedom fighter, Ram Prasad Bismil was also a talented poet who wrote in Urdu and Hindi, under the pen names Ram, Agyat, and Bismil.
• He was also the founding member of the Hindustan Republican Association (that became the Hindustan Socialist Republican Association) whose more popular revolutionary members were Bhagat Singh and Chandrashekhar Azad.
• "Sarfaroshi ki tamanna ab hamare dil mein hai, dekhna ki zor kitna baazu-e-qatil mein hai.” these lines are written by Bismil Azimabadi, a poet from Bihar.

The correct answer is New Zealand and Australia.

Key Points

• New Zealand and Australia will host the 2023 FIFA Women’s World Cup.
• FIFA announced its decision after its governing council held a vote by videoconference.
• The joint bid submitted by Football Federation Australia and New Zealand Football received 22 of the 35 valid votes cast by the FIFA Council members, with the Colombian Football Association having obtained 13 votes.
• FIFA’s decision means South America is still waiting to host its first Women’s World Cup, a tournament that was first played in 1991.

Additional Information

• FIFA is a non-profit organization that describes itself as an international governing body of association football, fútsal, and beach soccer.
• It is the highest governing body of association football.
• Headquarters: Zürich, Switzerland
• Founded: 21 May 1904, Rue Saint-Honoré, Paris, France
• Main organ: FIFA Congress
• Founded at: Paris, France
• Current champion: Argentina

The correct answer is Centripetal.

Key Points

• Centripetal force:
• A force that acts on a body moving in a circular path and is directed towards the centre around which the body is moving.
• This force is applied to the object from outside and for this reason, the centripetal force is an external force.
• It acts always towards the center (so we do not assume that it is an internal force) but it is an external force.
• Example: When we spin a ball on a string our hand always apply the centripetal force to the ball. So, the force applied by us is an external force on the ball.

Additional InformationVan der Waals

• The equation is basically a modified version of the Ideal Gas Law which states that gases consist of point masses that undergo perfectly elastic collisions. Ideal gas equation fails to explain the behaviour of real gases. Therefore, the Van der Waals equation was devised and it helps us define the physical state of a real gas.
• Van der Waals equation is an equation relating the relationship between the pressure, volume, temperature, and amount of real gases. For a real gas containing ‘n’ moles, the equation is written as

$\left ( P+\frac{an^{2}}{V^{2}} \right )\left ( V-nb \right )=nRT$

here, P = Pressure, V = Volume, T = Temperature, R = Gas constant, n = Number of moles

• Frictional
• The opposing force which comes into play when a body moves or tries to move the surface of another body is known as friction.
• The maximum value of the force of friction that comes into play before a body just begins to slide over the surface of another body is called limiting friction.
• Centrifugal force
• It is equivalent and opposite to the centripetal force and it is the force produced as a result of the centripetal force.
• ​​Centrifugal force is also known as pseudo force.
• Cream separator works on the principle of centrifugal force.

The correct answer is Uday Umesh Lalit.

Key Points

• Justice Uday U Lalit is set to take over as the 49^th Chief Justice of India (CJI) on August 27, 2022, with the incumbent, NV Ramana recommending the former as his successor.
• Lalit will have a short tenure of fewer than three months.

Important Points

• ​The Supreme Court of India is the highest judicial court and the final court of appeal under the Constitution of India
• It is also the highest constitutional court, with the power of judicial review.
• India is a federal State and has a single and unified judicial system with a three-tier structure.
• The Indian constitution provides for a provision of the Supreme Court under Part V (The Union) and Chapter 6 (The Union Judiciary).
• Articles 124 to 147 in Part V of the Constitution deal with the organization, independence, jurisdiction, powers and procedures of the Supreme Court.

Additional Information

• Ajay Kumar Sood is an Indian physicist, and researcher and is serving as the 4^th Principal Scientific Adviser to the Government of India.
• He is also the holder of 2 US and 5 Indian patents.
• Rajiv Ranjan Singh alias Lalan Singh is an Indian politician and Member of Parliament representing Munger in the 17^th Lok Sabha from Janata Dal.
• He is the National party president of JDU.
• Sanjeev Kapoor is an Indian celebrity chef, entrepreneur and television personality.

The correct answer is Reptiles.

Key Points

• Non-chordates
• Non-chordates are animals without a notochord or backbone whereas chordates have the same.
• Gill slits are not present in non-chordates since they breathe through the body surface or trachea.
• Post-anal tail is absent in the case of non-chordates whereas the heart is generally absent and if present, it will be dorsally or laterally placed.
• Reptiles
• It has a three-chambered heart.
• These are cold-blooded (poikilotherms) animals.
• They creep on the land as their body cannot be lifted up.
• Their skin is dry and scaly.
• The neck is present between the head & trunk.
• The external ear is absent.
• Digits are provided with claws.
• Examples: Tortoise, Lizard, Snake, etc.

The correct answer is Olympic Council of Asia.

Key Points

• Asiad is regulated by Olympic Council of Asia.
• The Asian Games are also known as Asiad.
• Asiad is a continental multisport athletic event held every four years.
• The first Asian Games were organized in New Delhi, India in 1951.

Additional Information 

• The Olympic Council of Asia general assembly has selected the two countries to host the 2030 and 2034 editions of the Asian Games through virtual voting.
• Qatar will be the host of 2030's edition at Doha city, while the runner-up in voting and Saudi Arabia will host the 2034 edition of Asian Games at Riyadh city.
• The Olympic Council of Asia meeting held in Muscat, Oman.
• The International Olympic Committee (IOC) was founded by Baron Pierre de Coubertin in 1894.
• The first Olympic Games were held in Athens, Greece in the year 1896.
• The Olympic Games are governed by the International Olympic Committee.
• The Olympic Games consist of five rings colored blue, yellow, black, red, and green.
• Commonwealth Games Federation (CGF) nominated the inclusion of women's cricket in the 2022 Commonwealth Games in Birmingham.
• The inclusion of women's cricket in the Birmingham 2022 Commonwealth Games would be a landmark moment in the development of the sport.
• This is a  part of the global ambition for cricket to inspire and empower women and girls around the world.
• The Indian Olympic Association of India (IOA) has appointed Harjinder Singh as the Chef de Mission of the country’s contingent for the upcoming 2022 Winter Olympics in Beijing.
• He is the General Secretary of Ice Hockey Association of India.

The correct answer is Narmada.

Key Points

• The Dhuandhar Falls are located on the Narmada River in Bhedaghat and are 30 meters high.
• The Dhuandhar Falls is a waterfall in Jabalpur district in the Indian state of Madhya Pradesh.
• It is also known as the Smoke cascade and is located at Bhedaghat 30 km away from Jabalpur.
• It is believed that a dip in the holy river can wash away one’s sins.

Additional Information

The correct answer is Kesavananda Bharati Case, 1973.

Key Points 

• Kesavananda Bharati Sripadagalvaru and Ors v State of Kerala Case, 1973:
• Kesavananda Bharati challenged the Kerala land reforms legislation in 1970.
• The land reforms case imposed restrictions on the management of religious property.
• Under Article 26 the case was challenged.
• The verdict:
• Any provision of the Indian Constitution can be amended by the Parliament in order to accomplish its socio-economic obligations that were guaranteed to the citizens as mentioned in the Preamble, provided that such an amendment did not change the basic structure of the constitution.
• The preamble is a part of the constitution and can be amended by the Parliament under Article 368.

Additional Information

• Golaknath Case, 1967
• Golaknath Vs. the State Of Punjab was a 1967 Indian Supreme Court case, in which the Court ruled that Parliament could not curtail any of the Fundamental Rights in the Constitution.
• The judgment reversed the Supreme Court's earlier decision which had upheld Parliament's power to amend all parts of the Constitution, including Part III related to Fundamental Rights.
• The judgment left Parliament with no power to curtail Fundamental Rights.
• The majority did not agree with the view that Article 368 of the Constitution contained "power and procedure" to amend, but instead believed that the text of Article 368 only explained the procedure to amend the constitution, the power being derived from entry 97 of the List I of the VII Schedule to the Constitution.
• ​Minerva Mills Case, 1980
• In the Minerva Mill case (1980), the Supreme court provided key clarifications on the interpretation of the basic structure doctrine.
• By the 42^nd Amendment, Article 31C was amended to give precedence to all the Directive Principles over Article 14, 19, and 31. The Minerva Mill case declared this change as unconstitutional.

The correct answer is base year.

Key Points

• GDP is the market value of all the final goods and services produced within a country for a given time period.
• Real GDP is a measurement of economic output that accounts for the effects of inflation or deflation.
• The difference between nominal GDP and real GDP is the adjustment for inflation.
• Since nominal GDP is calculated using current prices, it does not require any adjustments for inflation.​
• The base year of the national accounts is chosen to enable inter-year comparisons. It gives an idea about changes in purchasing power and allows the calculation of inflation-adjusted growth estimates.

Important Points

• Real GDP :
• Real GDP is said to be the value of all goods and services determined in an economy after taking into account the rate of inflation.
• In other words, it is the inflation-adjusted value of goods and services produced in an economy in a year; therefore it is also known as inflation-adjusted gross domestic product.
• Real GDP in addition to inflation, also takes into account deflation.
• The Real GDP formula can be represented as,
• Real GDP = Nominal GDP / Deflator
• Nominal GDP:
• Nominal gross domestic product (GDP) is the value of all the final goods and services at current market prices.
• In other words, it is the GDP calculated at the current market prices.
• It takes into account factors such as inflation, price changes, changing interest rates, and money supply at the time of determining GDP.
• The rise in inflation increases the nominal GDP.
• The Nominal GDP formula can be represented as,
• Nominal GDP = Real GDP x GDP Deflator

The correct answer is Ajmer.

Key Points

• Ajmer was ruled by the great Raja Prithvi Chauhan the last Hindu king of Delhi, until his defeat in 1192.
• in 1556 Ajmer finally came under the Mughal Emperor, Akbar who used it as the headquarters for his vitally important operations in Rajasthan.
• The Ajmer Subah was one of the original 12 subahs that comprised the Mughal Empire after the administrative reform by Akbar
• Mughal patronage of the city of Ajmer in the 16^th century through the support of local Sufi shrines (such as one dedicated to Moinuddin Chishti)
• The first British Ambassador, Sir Thomas Roe, had a historic meeting with Emperor Jahangir in 1615 in Ajmer.

Additional Information

• Pallava Dynasty
• The Pallava Dynasty rules most of the Southern part of India.
• Simha Vishnu was the founder of the Pallava Dynasty.
• Kanchipuram was the capital of the Pallava Dynasty.
• Chola Dynasty
• ​It was founded by Vijayalaya.
• The Greatest Chola ruler was Rajaraja and Rajendra 1
• Thanjavur was the capital city of the Chola Dynasty.
• Delhi Sultanate
• ​Slave Dynasty-1206-1290
• Khilji Dynasty – 1290-1320
• Tughlaq Dynasty- 1320-1414
• Sayyid Dynasty- 1414-1450
• Lodi Dynasty - 1451-1526

The correct answer is Goa.

Key Points

• The National Institute of Oceanography (NIO) with its headquarters at Dona Paula, Goa.
• Its regional centres at Kochi, Mumbai and Visakhapatnam, are one of the 37 constituent laboratories of the Council of Scientific & Industrial Research (CSIR), New Delhi.
• NIO was established on 1 January 1966 following the International Indian Ocean Expedition (IIOE) in the1960.
• Prof. Sunil Kumar Singh is the current Director of the NIO.
• He was conferred with the Lifetime Achievement Award of the Indian Society of Applied Geochemists (ISAG) in December 2022, in recognition of his contributions to Earth Sciences in general and applied Geochemistry in particular.

Additional Information

• Some Important National Institutes of India are:
• Anthropological Survey of India,1945 - Kolkata
• Archaeological Survey of India, 1861 - New Delhi
• National School of Drama, 1959 - New Delhi
• Sahitya Academy, 1954 - New Delhi
• National Library of India - Kolkata
• Established 1836 (as Calcutta Public Library), 30 January 1903 (as Imperial Library) and 1 February 1953 (as National Library of India)

The correct option is Structural.

Key Points

• The term unemployment refers to a situation where a person actively searches for employment but is unable to find work.
• Structural unemployment comes about through a technological change in the structure of the economy in which labour markets operate.
• Technological changes can lead to unemployment among workers displaced from jobs that are no longer needed
• Examples of such changes include the replacement of horse-drawn transport with automobiles and the automation of manufacturing,

Additional Information

• Frictional Unemployment
• This type of unemployment is usually short-lived. It is also the least problematic from an economic standpoint. It occurs when people voluntarily change jobs.
• Seasonal unemployment
• It occurs at different points over the year because of seasonal patterns that affect jobs. Some examples include ski instructors, fruit pickers and holiday-related jobs.
• Economic Unemployment
• During an economic downturn, a shortfall of demand for goods and services results in a lack of jobs available for those who want to work. Businesses experiencing weaker demand might reduce the number of people they employ by laying off existing workers or hiring fewer new workers.

The correct answer is Chalukyas.

Key Points

​Ravikirti 

• Ravikirti was the court poet of King Pulakesin II of the Chalukya Dynasty.
• Pulakeshin II was the most famous ruler of the Chalukya dynasty who reigned from 610 to 642 CE.
• The most notable military achievement of Pulakeshin II was his victory over the powerful emperor Harshavardhana, who ruled over much of Northern India.
• The famous Aihole inscription written in classical Sanskrit was composed by Ravikirti.
• Narasimhavarman I was the ruler of the Pallava Dynasty who defeated Pulakeshin II.
• Pulakeshin I was the founder of the Chalukya Dynasty.
• Krishna I was the ruler of the Rastrakuta Dynasty who built the famous rock temple of Kailasa at Ellora.

 

Additional Information

The correct answer is Rajasthan.

Key Points

• National Legal Services Authority (NALSA) Chairman Uday Umesh Lalit launched India's first AI-powered, end-to-end digital Lok Adalat in Rajasthan.
• The digitalisation of Lok Adalat will facilitate common people to get justice from the comforts of their homes.
• Aligning with Lok Adalat’s vision to provide access to justice for all, Justice has developed the AI-powered Digital Lok Adalat to make its services more accessible, affordable, cost-effective, transparent, accountable, equitable, and secure.
• Jupitice’s Digital Lok Adalat will be used by Maharashtra and Rajasthan to dispose of pending disputes/disputes at the pre-litigation stages quickly and efficiently

Additional Information

• Rajasthan
• CM - Bhajan Lal Sharma
• Governor - Kalraj Mishra
• Uttar Pradesh
• CM - Yogi Adityanath
• Governor - Anandiben Patel
• Madhya Pradesh 
• CM - Mohan Yadav
• Governor - Mangubhai Chhaganbhai Patel
• Gujarat
• CM - Bhupendra Patel
• Governor - Acharya Devrat

The correct answer is December.

Key Points

• Kagyed dance, a customary dance festival, celebrated annually in Sikkim falls on the 28^th and 29^th day of the tenth month according to the Tibetan calendar, which according to the English calendar falls in the month of December.
• In the name of eight tantrik Gods and Goddesses commonly called Kagyed, lamas on these days perform dances and sing songs in different monasteries and offer prayers to them requesting these deities to save human beings from the tormenting evil spirits and to bless them for good health and fortune.
• It is celebrated by Buddhists n Takes place in Monasteries, particularly at the Old Rumtek Monastery
• The celebrations commence two days prior to the onset of Loosong.

Additional Information

• Sikkim
• ​CM - Prem Singh Tamang
• Governor - Om Prakash Mathur
• Capital - Gangtok
• Passes - Nathu La, Dongkha La, Jelep La
• Famous Dances - Limboo, Mask Dance, Singhi Chaam, Chu Faat, etc

Given:

$\rm \sqrt{{1 \ + \ \cos A} \over 1 \ - \ \cos A}$

Concept used:

sin²θ + cos²θ = 1

Calculation:

$\rm \sqrt{{1 \ + \ \cos A} \over 1 \ - \ \cos A}$

⇒ $\rm \sqrt{{(1 \ + \ \cos A)(1 \ + \ \cos A)} \over (1 \ - \ \cos A)(1 \ + \ \cos A)}$

⇒ $\rm \sqrt{{(1 \ + \ \cos A)^2} \over 1 \ - \ \cos^2 A}$

⇒ $\rm \sqrt{{(1 \ + \ \cos A)^2} \over sin^2 A}$

⇒ $\rm\frac{1 ,+, cosA}{sinA}$

⇒ $\rm\frac{1}{sinA} + \frac{cosA}{sinA}$

⇒ cosec A + cot A

∴ The required answer is cosec A + cot A.

Given:

BG = 12 cm

Concept used:

The centroid divides each median into two parts, which are always in the ratio 2 :1.

Calculation:

Accoring to the concept,

BG : GE = 2 : 1

So, GE = 6 cm

Now,

BE = BG + GE

⇒ 12 + 6

⇒ 18 cm

∴ BE is equal to 18 cm.

Calculation:

Total number of players participating in game A = 31 + 24 + 18 + 29 + 12 + 40

⇒ 154

Total number of players participating in game B = 58 + 36 + 26 + 37 + 33 + 44

⇒ 234

Ratio = 154 : 234

⇒ 77 : 117

∴ Ther required answer is 77 : 117.

Concept used:

(a + b)² = a² + b² + 2ab

Calculation:

(mx + n)

⇒ (mx + n)²

⇒ m2x2 + 2mnx + n2

So, (mx + n) is a factor of  m2x2 + 2mnx + n2

∴ The correct answer is Option 2.

Given: 

tan A = ${{5} \over 12}$

Calculation:

As we know tan = P/B and sin θ = P/H

So, H = √(P² + B²)

⇒ H = √(52 + 122)

⇒ H = √(25 + 144)

⇒ H = √169

⇒ H = 13

Now,

sin A + sin B + sin C

= sin A + sin 90° + sin C

= ${{5} \over 13}$ + 1 + ${{12} \over 13}$

⇒ ${{5,+,13,+12} \over 13}$

⇒ ${{30} \over 13}$

⇒ $2{{4} \over 13}$

∴ The required answer is $2{{4} \over 13}$.

Concept used:

Calculation:

sin30° = BC/AB

⇒ 1/2 = BC/10

⇒ BC = 5

∴ The length of BC is 5 cm.

Given:

Actual speed = 45 km/h

Reduced speed = 30 km/h

Formula used:

Total distance = $\frac{(S_1 × S_2)}{S_1-S_2} \times (T_1+T_2)$

Here,

S1 = Actual speed

S2 = Reduced speed

T1 = Time1

T2 = Time 2

Calculation:

According to the concept,

Total distance = $\frac{(45 × 30)}{45-30} \times (0+\frac{1}{4})$

⇒ $\frac{(1350)}{15} \times \frac{1}{4}$

⇒ 22.5 km

∴ The distance between A and B is 22.5 km.

Given:

The tax on the salary of C is ${{1} \over 4}$ of the salary and savings are ${{1} \over 3}$ of the salary.

Calculation:

Let the salary of C be 12a

So,

tax = 12a × ${{1} \over 4}$

⇒ 3a

savings = 12a × ${{1} \over 3}$

⇒ 4a

So, expenditure  = 12a - 3a - 4a

⇒ 5a

Ratio of expenditure : saving = 5a : 4a

⇒ 5 : 4

∴ The required answer is 5 : 4.

Calculation:

Number of students who failed in Science but passed in Mathematics of section B and section D together = 12 + 15

⇒ 27

Number of students of section A that passed in both subjects = 63

Ratio = 27 : 63

⇒ 3 : 7

∴ Ther required answer is 3 : 7.

Given:

In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race.

Concept used:

Speed = Distance/Time

Calculation:

When bike A covers 1200 m bike B covers 1100 m

Ratio of speed = 12 : 11

Again,

When bike B covers 600 m bike c covers 500 m

Ratio of speed = 6 : 5

Ratio of speed of A, B, and C = 72 : 66 : 55

So, when bike A covers 720 m then bike C covers 550 m

So, difference = 720 - 550

⇒ 170 m

Now,

Bike C will cover the remaining 170 m in 30 sec

So, speed of bike C = 170/30

⇒ ${{17} \over 3}$ m / sec

∴ The speed of bike C ${{17} \over 3}$ m / sec.

Calculation:

Ratio of invalid votes of village R to that of village U = 100 × 65% × 35% : 40 × 90% × 40%

⇒ 65 × 35 : 36 × 40

⇒ 65 × 7 : 36 × 8

⇒ 455 : 288

∴ The required answer is 455 : 288.

Shortcut Trick

Profit = 12.5% = 1/8.

This means for every 8 parts of actual weight given (cost base), the dealer gains 1 part.

Total Claimed Weight = 8 parts (Base) + 1 part (Profit) = 9 parts.

Since 9 parts = 1000 g, the False Weight (8 parts) = (1000 ÷ 9) × 8.

False Weight = 8000 ÷ 9 ≈ 888.8 g.

∴ The correct answer is 888.8 g.

Alternate Method

Given:

Profit percentage = 12.5%

Claimed true weight = 1 kg = 1000 g

Formula Used:

Profit % = [(True Weight − False Weight) ÷ False Weight] × 100

Calculation:

⇒ 12.5 = [(1000 − False Weight) ÷ False Weight] × 100

⇒ 12.5 ÷ 100 = (1000 − False Weight) ÷ False Weight

⇒ 1 ÷ 8 = (1000 − False Weight) ÷ False Weight

⇒ False Weight = 8 × (1000 − False Weight)

⇒ False Weight = 8000 − 8 × False Weight

⇒ 9 × False Weight = 8000

⇒ False Weight = 8000 ÷ 9

⇒ False Weight ≈ 888.8 g

∴ The correct answer is 888.8 g.

Additional Information

Dishonest Dealer Selling at Cost Price

When a dealer claims to sell at the cost price but uses a false weight, the profit is generated entirely from the weight difference. Profit % = [(True Weight − False Weight) ÷ False Weight] × 100.

Dishonest Dealer Selling at a Markup

If the dealer also marks up the price by x% along with using a false weight, the effective profit multiplier becomes: True SP ÷ True CP = [(100 + x) ÷ 100] × [True Weight ÷ False Weight].

Using Ratio Method for Dishonest Dealer

When a dealer cheats on both weight and price, write the ratios of CP to SP for both cases. Multiply the ratios to get the final equivalent CP and SP, which gives the overall profit or loss percentage directly.

Calculation:

LCM of 4, 7 is 28

The greatest number of 3 digits = 999

⇒ 999 ÷ 28

⇒ Reminder = 19

⇒ 3 digit greatest numbers = 999 - 19 = 980

∴ The greatest number of 3 digits is 980.

Given:

A and B working separately can complete a piece of work in 10 and 16 days

Concept used:

Total work = efficiency of the worker × time taken by them

Calculation:

Let the total work be 80 units

So, the efficiency of A and B = 8 units/day, 5 units/day

Effective efficiency of the two = 13 units/day

According to the question,

They work on alternative days

So, in 2 days work completed = 13 units

In 12 days work completed = 78 units

Now,

The remaining 2 units will be completed by A in 2/8 days or 1/4 days

So, total time = 12 + 1/4 days

⇒ $12{{1} \over 4}$ days

∴ The work is completed in $12{{1} \over 4}$ days.

Given:

The length of the diagonal of a cube is 7${\sqrt{3} }$ cm

Concept used:

Diagonal of cube = a√3

Surface area of cube = 6a²

Calculation:

We know that,

Diagonal of cube = a√3

a√3 = 7√3

⇒ a = 7

Now, 

Surface area of cube = 6a² = 6(7)² =

⇒ 294 cm².

∴ The surface area of the cube is 294 cm2.

Given:

∠A = ${{1} \over 3}$∠R = ∠S

Concept used:

If two triangles are congruent, then their corresponding angles are equal

Calculation:

∠A = ${{1} \over 3}$∠R

⇒ 3∠A = ∠R

Again,

${{1} \over 3}$∠R = ∠S

⇒ ∠R = 3∠S

Also ∠A = ∠S

Now,

∠A + ∠R + ∠S = 180°

⇒ ∠A + 3∠A + ∠A = 180°

⇒ 5∠A = 180°

⇒ ∠A = 36°

So, ∠R = 3 × 36°

⇒ 108°

Now,

As ΔBPQ ≅ ΔASR

So, ∠R = ∠Q

So, ∠Q = 108°

∴ The required answer is 108°.

Given:

Two identical circles each of radius 30 cm intersect each other such that the circumference of each one passes through the centre of the other.

Calculation:

OA = O’A = OB = OB’ = OO’ = 30 cm

In triangle AOO’,

OA = O’A = OO’ = 30 cm ( As all three sides of AOO' are equal so it is an equilateral triangle)

⇒ ∠AOO’ = 60°

⇒ ∠AOB = 120°

In triangle ACO,

AC² = OA² - OC² = 900 - 225

⇒ AC2 = 675

⇒ AC = 15√3

So, AB = 30√3

Area of AO’BA = Area of sector AO’BO - Area of triangle AOB =

⇒ π(30)² ÷ 3 - ½ ⨯ 30√3 ⨯ 15

⇒ 900π ÷ 3 - 225√3

⇒ 300π - 225√3

Area of intersecting region = 2(Area of AO’BA)

⇒ 600π - 450√3 cm² 

∴ The required answer is 600π - 450√3 cm2.

Given:

The marked price of a chair is ₹2,400, which is 20% above the cost price.

The chair is sold at a discount of 10% on the marked price

Concept used:

Selling price = Marked price × (100 - Discount)%

Selling price = Cost × (100 + profit)%

Calculation:

Selling price of the chair = 2400 × 90%

⇒ Rs. 2160

Now,

Cost price of the chair = 2400 × (100/120)

⇒ Rs. 2000

Profit = 2160 - 2000

⇒ Rs. 160

Profit% = (160/2000) × 100

⇒ 8%

∴ The profit percentage is 8%.

Shortcut Trick

MP is 20% above CP then CP : MP = 5 : 6

After 10% discount MP : SP = 10 : 9

Then, CP : SP = 50 : 54 so profit% = 4/50 × 100 = 8%

Shortcut Trick

Total percentage of Simple Interest = Rate × Time = 30% × 7 = 210%

Total Amount percentage = 100% (Principal) + 210% (Interest) = 310%

According to the question, 310% = ₹15,500 ⇒ 1% = ₹50

Total Interest for 7 years (210%) = 210 × 50 = ₹10,500

∴ The correct answer is ₹10,500.

Alternate Method

Given: Amount (A) = ₹15,500, Rate (R) = 30% p.a., Time (T) = 7 years

Formula used: A = P + (P × R × T) ÷ 100

⇒ 15500 = P + (P × 30 × 7) ÷ 100

⇒ 15500 = P + (210P ÷ 100)

⇒ 15500 = P + 2.1P

⇒ 15500 = 3.1P

⇒ P = 15500 ÷ 3.1 = 5000

⇒ Total Interest = Amount − Principal = 15500 − 5000 = 10500

∴ The correct answer is ₹10,500.

Additional Information

Simple Interest (SI) Formula

The formula to calculate SI is (P × R × T) ÷ 100, where P is Principal, R is Rate per annum, and T is Time in years.

Difference between SI and CI

For 2 years, the difference between Compound Interest and Simple Interest is P(R/100)².

Effective Rate of Interest

In simple interest, the total percentage interest earned over the entire period is simply the product of Rate and Time (R × T).