SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 4) (Previous Year Paper)

 

Given statement : 162 ÷ 3 + 5 × 6 - 2 = 274 

According to the question, after interchanging the signs :

So,

• Option - (1) : + and -

162 ÷ 3 + 5 × 6 - 2 = 274 ⇒ 162 ÷ 3 - 5 × 6 + 2 = 274

54 - 5 × 6 + 2 = 274

54 + 2 - 30 = 274

56 - 30 = 274

26 ≠ 274 (LHS ≠ RHS)

• Option - (2) : ÷ and ×

162 ÷ 3 + 5 × 6 - 2 = 274 ⇒ 162 × 3 + 5 ÷ 6 - 2 = 274

162 × 3 + 0.83 - 2 = 274

486 + 0.83 - 2 = 274

486.83 - 2 = 274

484.83 ≠ 274 (LHS ≠ RHS)

• Option - (3) : - and ÷

162 ÷ 3 + 5 × 6 - 2 = 274 ⇒ 162 - 3 + 5 × 6 ÷ 2 = 274

162 - 3 + 5 × 3 = 274

162 + 15 - 3 = 274

177 - 3 = 274

174 ≠ 274 (LHS ≠ RHS)

• Option - (4) : + and ×

162 ÷ 3 + 5 × 6 - 2 = 274 ⇒ 162 ÷ 3 × 5 + 6 - 2 = 274

54 × 5 + 6 - 2 = 274

270 + 6 - 2 = 274

276 - 2 = 274

274 = 274 (LHS = RHS)

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

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

Detailed Explanation:

• The line MN is the mirror
• The word "RsN592YQ" the third letter is "N". So, the mirror image should be "

" ⇒ Option 1 is eliminated.

• The word "RsN592YQ" the second letter is "s". So, the mirror image should be "

" ⇒ Option 2 is eliminated..

• The word "RsN592YQ" the seventh letter is "Y". So, the mirror image should be "

" ⇒ Option 4 is eliminated.

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

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

1. For '

' element → Rotating 90º in the anti clockwise direction subsequently.

2. For '

' element → Shifting in the clockwise direction and vowels series according to English alphabetic series is followed subsequently.

3. For '

' element → Consecutive prime number series is followed subsequently

4) For '

' element → Rotating 90º in the anticlockwise direction subsequently.

Final series is

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

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

Given : 

• (12, 5, 29)

(29 - 5) ÷ 2 = 12

24 ÷ 2 = 12

12 = 12 (LHS = RHS)

• (19, 12, 50)

(50 - 12) ÷ 2 = 19

38 ÷ 2 = 19

19 = 19 (LHS = RHS)

So,

• Option - (1) : (8, 15, 21)

(21 - 15) ÷ 2 = 8

6 ÷ 2 = 8

3 ≠ 8 (LHS ≠ RHS)

• Option - (2) : (16, 12, 34)

(34 - 12) ÷ 2 = 16

22 ÷ 2 = 16

11 ≠ 16 (LHS ≠ RHS)

• Option - (3) : (15, 14, 44)

(44 - 14) ÷ 2 = 15

30 ÷ 2 = 15

15 = 15 (LHS = RHS)

• Option - (4) : (17, 11, 55)

(55 - 11) ÷ 2 = 17

44 ÷ 2 = 17

22 ≠ 17 (LHS ≠ RHS) 

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

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

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

Logic : [(1^st number ÷ 2) + 1] × 1^st number = 2^nd number

So,

• 16 ∶ 144

[(16 ÷ 2) + 1] × 16 = 144

[8 + 1] × 16 = 144

9 × 16 = 144

144 = 144 (LHS = RHS)

And,

• 14 ∶ 112

[(14 ÷ 2) + 1] × 14 = 112

[7 + 1] × 14 = 112

8 × 14 = 112

112 = 112 (LHS = RHS)

Similarly,

• 22 ∶ ?

[(22 ÷ 2) + 1] × 22 = ?

[11 + 1] × 22 = ?

12 × 22 = ?

264 = ?

Hence, "264" is the correct answer.

According to the sequence in the dictionary:

6. Cancer
7. Candidly
8. Cannibal
9. Canopy
10. Canteen
11. Canvas

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

The Venn diagram that best represents the relationship between Insects, Animals, Poisonous is shown below:

⇒ As insects are subset of animal kingdom, therefore whole insects comes in animals

⇒ As some insects are poisonous, therefore some part of the poisonous is common with insects.

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

Explanation : Sonal’s brother’s paternal grandmother, named Seeta, is coming to Sonal’s party with her only son.

Thus, according to the family tree Seeta's son is the father of Sonal.

Hence, "Father" is the correct answer.

Given : ST_FIR_STNF_ RGSTN_IRG_ _NFI_G    

By checking options :

1. NGSFITR → STNFIRGSTNFSRGSTNFIRGI TNFIRG → (It doesn't Follows the pattern)
2. NGFISRT → STNFIRGSTNFFRGSTNIIRGS RNFITG → (It doesn't Follows the pattern)
3. NGIFSTR → STNFIRGSTNFIRGSTNFIRGS TNFIRG → (It follows the pattern of : STNFIRG - STNFIRG - STNFIRG - STNFIRG)
4. NGISFRT → STNFIRGSTNFIRGSTNSIRGF RNFITG → (It doesn't Follows the pattern)

⇒Option - (3) gives the pattern of "STNFIRG - STNFIRG - STNFIRG - S TNFIRG"

Hence, "NGIFSTR" is the correct answer.

Logic :

• First four letters → (2) is added to the position value according to English alphabetic series.
• Last four letters → (1) is added to the position value according to English alphabetic series diagonally.

So,

• ‘STRAIGHT’ is written as ‘UVTCUIHJ’

And,

• ‘SURVIVAL’ is written as ‘UWTXMBWJ’

​Similarly,

• ‘TAKEOVER’ will be written as :

​Hence, "VCMGSFWP" is the correct answer.

Logic : Number series is added to the position value according to English alphabetic series diagonally.

So,

• 'WINTER' is coded as XJXQKX

And,

• 'AUTUMN' is coded as TRYWWB

​Similarly,

• 'SEASON' will be coded as :

​Hence, "TTWDGT" is the correct answer.

Given:

 

• The image must not to be rotated

  

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

Logic :

• 2 letters code is assigned to each letter
• 1^st letter code → (1) is subtracted from the position value according to English alphabetic series.
• 2^nd letter code → (2) is subtracted from the position value according to English alphabetic series.

So,

• GIST : FEHGRQSR

And,

• DUCK : CBTSBAJI

​Similarly,

• LOPE : ?

​Hence, "KJNMONDC" is the correct answer.

 

Given statement : 12 * 8 * 3 * 2 * 5 * 1 * 5 * 10

According to the question, after replacing the * signs :

So,

• Option - (1) : −, +, ×, ×, ÷, ×, =

12 * 8 * 3 * 2 * 5 * 1 * 5 * 10 ⇒ 12 - 8 + 3 × 2 × 5 ÷ 1 × 5 = 10 

12 - 8 + 3 × 2 × 5 × 5 = 10

12 + 150 - 8 = 10

162 - 8 = 10

154 ≠ 10 (LHS ≠ RHS)

• Option - (2) : ×,−, +, ×, ÷, ×, =

12 * 8 * 3 * 2 * 5 * 1 * 5 * 10 ⇒ 12 × 8 - 3 + 2 × 5 ÷ 1 × 5 = 10

12 × 8 - 3 + 2 × 5 × 5 = 10

96 + 50 - 3 = 10

146 - 3 = 10

143 ≠ 10 (LHS ≠ RHS)

• Option - (3) : ×, ÷, ×, ×, =,−, +

12 * 8 * 3 * 2 * 5 * 1 * 5 * 10 ⇒ 12 × 8 ÷ 3 × 2 × 5 = 1 - 5 + 10

12 × 2.66 × 2 × 5 = 1 + 10 - 5

320 = 11 - 5

320 ≠ 6 (LHS ≠ RHS)

• Option - (4) : -, +, ×, ÷, ×, ×, =

12 * 8 * 3 * 2 * 5 * 1 * 5 * 10 ⇒ 12 - 8 + 3 × 2 ÷ 5 × 1 × 5 = 10

12 - 8 + 3 × 0.4 × 1 × 5 = 10

12 + 6 - 8 = 10

18 - 8 = 10

10 = 10 (LHS = RHS)

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

Logic :

• (1^st number + 1)= (Square of 3^rd number)
• (3^rd number × 5) = 2^nd number

So,

• Option - (1) : 24 ∶ 25 ∶ 5

24 + 1 = $(5)^2$

25 = 25 (LHS = RHS)

And,

5 × 5 = 25 

25 = 25 (LHS = RHS)

• Option - (2) : 35 ∶ 36 ∶ 6

35 + 1 = $(6)^2$

36 = 36 (LHS = RHS)

And,

6 × 5 = 36 

30 ≠ 36 (LHS ≠ RHS)

• Option - (3) : 8 ∶ 15 ∶ 3

8 + 1 = $(3)^2$

9 = 9 (LHS = RHS)

And,

3 × 5 = 15 

15 = 15 (LHS = RHS)

• Option - (4) : 3 ∶ 10 ∶ 2

3 + 1 = $(2)^2$

4 = 4 (LHS = RHS)

And,

2 × 5 = 10 

10 = 10 (LHS = RHS)

Hence, the correct answer is "35 ∶ 36 ∶ 6".

The logic followed here is :- 

• First and second letter - Difference between the position value according to English alphabetic series is (3).
• First and third letter - Opposite letter pairs according to English alphabetic series.

​So,

• Option - (1) : EHV

​

• Option - (2) : BEY

​

• Option - (3) : JMP

​

• Option - (4) : GJT

​

Thus, out of all the options 'JMP' is the odd one out as the difference between first and the third letter are not opposites.

​Hence, the correct answer is "JMP".

Logic: Consecutive multiple of (4) is added subsequently.

Hence, the correct answer is "36".

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

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

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

Given :

• (10, 5, 52)

10 × 5 = 52 - (10 ÷ 5)

50 = 52 - 2

50 = 50 (LHS = RHS)

And, 

• (35, 7, 250)

35 × 7 = 250 - (35 ÷ 7)

245 = 250 - 5

245 = 245 (LHS = RHS)

So,

• Option - (1) : (8, 4, 34)

8 × 4 = 34 - (8 ÷ 4)

32 = 34 - 2

32 = 32 (LHS = RHS)

• Option - (2) : (14, 8, 90)

14 × 8 = 90 - (14 ÷ 8)

112 = 90 - 1.75

112 ≠ 88.25 (LHS ≠ RHS)

• Option - (3) : (8, 9, 10)

8 × 5 = 10 - (8 ÷ 9)

40 = 10 - 0.88

40 ≠ 9.12 (LHS ≠ RHS)

• Option - (4) : (20, 5, 300)

20 × 5 = 300 - (20 ÷ 5)

100 = 300 - 4

100 ≠ 75 (LHS ≠ RHS)

Hence, the correct answer is "(8, 4, 34)".

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

Given :

• (4, 14, 56)

4 × 14 = 56

56 = 56 (LHS = RHS)

And, 

• (6, 15, 90)

6 × 15 = 90

90 = 90 (LHS = RHS)

So,

• Option - (1) : (8, 13, 106)

8 × 13 = 106

104 ≠ 106 (LHS ≠ RHS)

• Option - (2) : (9, 15, 125)

9 × 15 = 125

135 ≠ 125 (LHS ≠ RHS)

• Option - (3) : (7, 17, 118)

7 × 17 = 118

119 ≠ 118 (LHS ≠ RHS)

• Option - (4): (7, 16, 112)

7 × 16 = 112

112 = 112 (LHS = RHS) 

Hence, the correct answer is "(7, 16, 112)".

The logic followed here is:

The middle letter is increasing by prime number order(2, 3, 5, 7).

​Hence, "UOQ" is the correct answer.

Logic : 

• First three letters and last three letters → (1) is subtracted from the position value according to English alphabetic series.
• Fourth letter → (2) is added to the position value according to English alphabetic series.

So,

• ‘PDFJARS’ is written as ‘OCELZQR’

And,

• ‘MHCXBTU’ is written as ‘LGBZAST’

​Similarly,

• ‘ZVDGENQ’ will be written as :

​Hence, the correct answer is "YUCIDMP".

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.

2. For '

' element → Shifting in the anti-clockwise direction.

3. For '

' element → Rotating in the clockwise direction.

Final series is

Hence, the correct answer is "Option 3".

The Venn diagram that best represents the relationship between Women, Sister, Wife is shown below:

⇒ As wife and sister are subset of women category, therefore whole wife and sisters wiill comes in women.

⇒ As some wife are sister too, therefore some part of the wife is common with sister.

Hence, the correct answer is "Option 3".

The correct answer is Raja Ram Mohan Roy.

Key Points

• Bramho Samaj was founded by Raja Ram Mohan Roy in 1828.
• Raja Ram Mohan Roy was a social reformer who advocated for the abolition of Sati and worked towards the upliftment of women in society.
• Bramho Samaj was a socio-religious movement that aimed to promote monotheism and rationalism in Hinduism.
• The movement also advocated for the eradication of caste system and encouraged education and social reforms.

Additional Information

• Keshab Chandra Sen was a disciple of Raja Ram Mohan Roy and played a significant role in the growth of Bramho Samaj.
• Debendranath Tagore was also a disciple of Raja Ram Mohan Roy and his son-in-law, who later became the leader of the Bramho Samaj movement.
• Dayanand Saraswati was the founder of Arya Samaj, another socio-religious movement in India that aimed to promote Vedic teachings and eradicate social evils.

The correct answer is Usha Mehta.

Key Points

• Usha Mehta, along with her close associates, started the secret congress radio during the Quit India Movement.
• The radio was started to spread the message of the Congress and to motivate people to participate in the movement.
• Usha Mehta was a freedom fighter and a prominent member of the Indian National Congress.
• She was also a teacher and played a significant role in educating the masses about the freedom struggle.
• The Quit India Movement was launched on 8^th August 1942, and it was a mass civil disobedience movement against the British rule in India.

Additional Information

• Bhikaiji Cama was an Indian revolutionary who is known for designing the first version of the Indian National Flag.
• Lakshmi Sehgal was a freedom fighter and a close associate of Netaji Subhas Chandra Bose.
• Sarojini Naidu was a poet, social activist, and a prominent member of the Indian National Congress.
• She was also the first woman Governor of an Indian state (Uttar Pradesh).

The correct answer is Kanishka.

Key Points

• Kushana rulers were known for their patronage of Buddhism and their contribution to the spread of the religion in Central Asia and India.
• The fourth Buddhist Council was held in Kashmir during the reign of Kanishka, which was attended by Buddhist scholars and monks from across the region.
• He was one of the most famous and influential Kushana rulers who ruled from 127 CE to 150 CE.
• He is known for his patronage of Buddhism and organizing the fourth Buddhist Council, which was attended by scholars and monks from across the region.
• Kanishka also built several Buddhist stupas and monasteries, which helped spread the religion throughout his empire.

Additional Information

• Vasudeva I:
• He was a Kushana ruler who succeeded Kanishka.
• He is known for his military campaigns and expanding the Kushana empire, but there is no evidence to suggest that he was a patron of Buddhism or organized any Buddhist councils.
• Vima Kadphises:
• He was one of the early Kushana rulers who succeeded Kujula Kadphises.
• He is known for his military campaigns and expanding the Kushana empire, but there is no evidence to suggest that he was a patron of Buddhism or organized any Buddhist councils.
• Huvishka:
• ​He was a Kushana ruler who succeeded Kanishka and ruled from 150 CE to 180 CE.
• He continued the patronage of Buddhism and built several Buddhist stupas and monasteries, but there is no evidence to suggest that he organized any Buddhist councils.

The correct answer is Manipuri.

Key Points

• Akham Lakshmi Devi is renowned for Manipuri dance, which is a classical dance form originating from the northeastern state of Manipur.
• Manipuri dance is characterized by graceful movements, fluidity, and the use of intricate hand and eye gestures.

Additional Information

• Kathak is a classical dance form from North India that is known for its fast footwork and storytelling through dance.
• Odissi is a classical dance form from the eastern state of Odisha that is known for its fluid movements and expressions.
• Sattriya is a classical dance form from the northeastern state of Assam that is known for its devotional and spiritual themes.

The correct answer is The iris contracts the pupil to allow less light to enter the eye.

Key Points

• When we move from a brightly lit room to a dimly lit room, our eyes take some time to adjust to the change in lighting.
• This is because the iris, which controls the amount of light entering the eye, needs to adjust to the new lighting conditions.
• This helps to improve the clarity of the image that is formed on the retina.
• Dilation of the eye lens actually allows more light to enter the eye, and so this would not help in a dimly lit room.​

Additional Information

• Iris:
• The iris is a circular muscle in the eye that controls the size of the pupil and the amount of light entering the eye.
• It is responsible for adjusting the amount of light that enters the eye based on the lighting conditions.
• Pupil:
• ​The pupil is the black circular opening in the center of the iris that allows light to enter the eye.
• Its size is controlled by the iris, which adjusts it based on the amount of light available.
• Vitreous humour:
• The vitreous humour is a gel-like substance that fills the eye and helps to maintain its shape.
• It does not have any control over the amount of light entering the eye.
• Cornea:
• The cornea is a transparent layer at the front of the eye that helps to focus light onto the retina.
• It does not have any control over the amount of light entering the eye.

The correct answer is Manipuri.

Key Points

• Guru Bipin Singh is associated with Manipuri dance form.
• Manipuri is a classical dance form originated in the north-eastern state of Manipur.
• This dance form is known for its graceful movements, unique costumes, and use of props like cymbals, bamboo flutes, and drums.
• Guru Bipin Singh is considered as one of the pioneers of Manipuri dance and has contributed significantly to its growth and popularity.

Additional Information

• Kathak is a classical dance form originated in North India, known for its intricate footwork, graceful hand gestures, and storytelling through dance.
• Odissi is a classical dance form originated in the state of Odisha, known for its fluid movements, expressive eyes, and emphasis on footwork and body posture.
• Kathakali is a classical dance form originated in the state of Kerala, known for its elaborate makeup, colorful costumes, and dramatic storytelling through dance and music.

The correct answer is 1 April 2022 to 31 March 2023.

Key Points

• The financial year in India starts on 1 April and ends on 31 March of the next year.

Additional Information

• The financial year in India is important for businesses, individuals, and the government as it is used for taxation purposes and financial reporting.
• The Indian financial year is different from other countries such as the United States, where the financial year starts on 1 October and ends on 30 September.
• The Indian financial year was previously known as the 'Previous Year' and was changed to 'Assessment Year' in 1961 after the Income Tax Act came into effect.

The correct answer is Poland and Netherlands.

Key Points

• Poland and Netherlands are going to host the 2022 FIVA Volleyball Women's World Championship.
• The FIVA Volleyball Women's World Championship is an international volleyball tournament organized by the International Volleyball Federation (FIVB) for women's national teams.

Additional Information

• The 22^nd FIVB Volleyball Women's U21 World Championship took place in 2023.
• It was held in Mexico from August 17–26, 2023.
• China defeated Italy 3–2 in the championship game to win their fourth U21 World Championship.​

The correct answer is Hemant.

Key Points

• Hemant is the season that falls between Sharad and winter, usually in November and December, according to the traditional Indian seasons.

Additional Information

• Sharad is the season that comes after the monsoon and before Hemant, usually in September and October.
• Shishir is the season that comes after Hemant and before spring, usually in January and February.
• Vasant is the season that comes after Shishir and before summer, usually in March and April.

The correct answer is 354 Persons per sq. km.

Key Points

• Sri Lanka is a small island nation located in South Asia and has a total area of around 65,610 square kilometers.
• The population of Sri Lanka in 2020 was estimated to be around 21.4 million.
• Therefore, the population density of Sri Lanka in 2020 was around 354 persons per square kilometer.

Additional Information

• The term "population density" refers to the number of people living in a particular area, usually measured per square kilometer or square mile.
• Sri Lanka has a relatively high population density compared to other countries in the region, such as India and Bangladesh.

The correct answer is Cell wall.

Key Points

• Plant cells have a rigid cell wall made up of cellulose, which provides structural support and protection to the cell.
• The cell membrane is present in both plant and animal cells, and it forms a barrier between the cell and its environment, controlling the movement of substances in and out of the cell.

Additional Information

• Cell membrane:
• It is a thin, flexible barrier made up of lipids and proteins that surrounds the cell and regulates the movement of materials in and out of the cell.
• Nucleolus:
• It is a dense, spherical structure found within the nucleus of eukaryotic cells, which is involved in the synthesis of ribosomal RNA and the assembly of ribosomes.
• Mitochondria:
• These are membrane-bound organelles found in eukaryotic cells, which are responsible for producing energy in the form of ATP through cellular respiration.
• They contain their own DNA and can replicate independently within the cell.

The correct answer is Bahadur shah II.

Key Points

• Bahadur Shah II was the Mughal ruler who contributed to the revolt of 1857, also known as the First War of Indian Independence.
• He was the last Mughal emperor and was exiled to Rangoon by the British after the revolt was suppressed.

Additional Information

• Shah Alam II, also known as Ali Gauhar, was the Mughal emperor during the Third Battle of Panipat in 1761, where he was taken captive by Ahmad Shah Durrani.
• Bahadur Shah I, also known as Shah Alam I, was the Mughal emperor from 1707 to 1712.
• He was the son of Aurangzeb.
• Alamgir II was the Mughal emperor from 1754 to 1759.
• He was assassinated by his own wazir, Imad-ul-Mulk.

The correct answer is Madhya Pradesh.

Key Points

• Madhya Pradesh presented the 'Child Budget' for the first time in March 2022 as a part of their annual financial plan.
• The 'Child Budget' is a budget allocation specifically for children's welfare and development programs.
• The introduction of the 'Child Budget' is a significant step towards prioritizing children's rights and needs in the state's financial planning.
• This move by Madhya Pradesh is expected to inspire other states to adopt similar measures for the betterment of children.
• Andhra Pradesh, Uttar Pradesh, and Arunachal Pradesh have not presented a 'Child Budget' as of March 2022.

Additional Information

• Andhra Pradesh:
• The state has launched various initiatives for children's welfare, including the 'Bala Sanjeevani' program for malnourished children and 'Amma Vodi' scheme for providing financial assistance to mothers for their children's education.
• Uttar Pradesh:
• The state government has launched the 'Bal Shramik Vidya Yojana' to provide education and rehabilitation to child laborers.
• Arunachal Pradesh:
• The state has implemented various schemes for child development, including the 'Beti Bachao Beti Padhao' program for promoting girls' education and 'Sishu Raksha Karyakram' for child protection.

The correct answer is Ravi river.

Key Points

• Ravi river originates in the Himalayas and flows through Chamba district of Himachal Pradesh, before entering Punjab and finally joining the Chenab river.
• Saryu river is a tributary of the Ghaghara river and flows through Uttar Pradesh and Nepal.
• Yamuna river is a major tributary of the Ganga river and originates in the Yamunotri glacier in the Himalayas.
• It flows through several states, including Uttarakhand, Uttar Pradesh, Haryana, and Delhi, before merging with the Ganga at Allahabad.
• Krishna river is a major river in South India and originates in the Western Ghats of Maharashtra.
• It flows through several states, including Karnataka, Telangana, and Andhra Pradesh, before emptying into the Bay of Bengal.

Additional Information

• The Ravi river is an important river in North India and Pakistan, with a total length of about 720 km.
• It is a transboundary river, meaning it flows through both India and Pakistan.
• The river has several major tributaries, including the Bhadal and Tant Gari rivers in Himachal Pradesh, and the Ujh and Beas rivers in Punjab.
• The Ravi river has been dammed at several places, including the Chamera Dam in Himachal Pradesh, and the Ranjit Sagar Dam in Punjab.
• These dams provide hydroelectric power and irrigation water to the surrounding areas.
• The Ravi river basin is home to several important wildlife species, including the Himalayan black bear, snow leopard, and musk deer.
• The river is also an important source of fish for the local communities.

The correct answer is Odisha.

Key Points

• The Rourkela steel plant is located in the Sundargarh district of Odisha.
• It was set up in collaboration with the German company Krupp and Demag in 1955.
• The plant has an annual production capacity of 4.5 million tonnes of hot metal and 4.2 million tonnes of crude steel.
• The Rourkela steel plant is one of the largest steel plants in India and is a major contributor to the economy of Odisha.

Additional Information

• Jharkhand:
• Jharkhand was carved out of Bihar in the year 2000.
• The steel industry is one of the major industries in Jharkhand, with companies like Tata Steel, Bokaro Steel Plant, and Jindal Steel and Power Limited operating in the state.
• Bihar:
• Bihar is a state in eastern India and was part of the undivided state of Bihar and Orissa during the time when the Rourkela steel plant was set up.
• The state has a few small steel plants, but not as significant as the Rourkela steel plant.
• Assam: 
• Assam is a state in northeastern India and is not known for its steel industry.
• The state has a few small-scale steel plants, but they are not as significant as the Rourkela steel plant.

The correct answer is the Chief Justice of the High Court exercising jurisdiction in relation to the State.

Key Points

• The Governor of an Indian state is appointed by the President of India and holds the office during the pleasure of the President.
• Before entering upon his office, the Governor takes an oath or affirmation before the Chief Justice of the High Court exercising jurisdiction in relation to the State.
• The purpose of taking the oath or affirmation is to ensure that the Governor will faithfully discharge the duties of his office and uphold the Constitution and the laws of the land.
• The oath or affirmation is a solemn promise made by the Governor to fulfill his obligations with honesty, integrity, and dedication.
• The Chief Justice of the High Court administering the oath or affirmation is a symbol of the independence of the judiciary and the rule of law.

Additional Information

• The President is the appointing authority of the Governor on the recommendation of Council of Ministers and does not administer the oath or affirmation.
• The Chief Minister is the head of the state government and has no role in the appointment or swearing-in of the Governor.
• The Prime Minister is the head of the central government and has no role in the appointment or swearing-in of the Governor.

The correct answer is 13^th.

Key Points

• The Government of India urged people to hoist or display the Tricolour in their homes from August 13^th to 15^th to celebrate Independence Day in 2022.
• This move by the Indian government was aimed at encouraging people to show their respect and love for the country and its freedom struggle.

Additional Information

• The Indian national flag, also known as Tiranga, is a horizontal, rectangular tricolor flag with the 24-spoke Ashoka Chakra in navy blue at its center.
• The colors of the flag are saffron, white, and green.
• On July 22, 1947, at a meeting of the Constituent Assembly, it was accepted in its current form.
• On August 15, 1947, it was adopted as the Union of India's official flag.
• The Indian national flag is nearly invariably referred to as the "tricolour" in Indian culture.

The correct answer is Orangutan - Caribbean islands.

Key Points

• Orangutans are not found in the Caribbean islands, but rather in the rainforests of Borneo and Sumatra in Southeast Asia.

• Kangaroos are primarily found in Australia, but also in Papua New Guinea and nearby islands.
• Ostriches are found in savanna and desert regions of Africa.
• Lemurs are only found in Madagascar, an island off the coast of Southeast Africa.

Additional Information

• Orangutans are known for their long, powerful arms and reddish-brown hair.
• Kangaroos are marsupials, meaning they carry their young in a pouch, and they are known for their powerful hind legs and tails.
• Ostriches are the largest living bird species and are known for their long necks and powerful legs.
• Lemurs are primates that are only found in Madagascar, and they are known for their large eyes and long, bushy tails.

The correct answer is Pandit Shivkumar Sharma.

Key Points

• Pandit Shivkumar Sharma is an exponent of the classical instrument, Santoor.
• He is a renowned musician and composer who has contributed immensely to Indian classical music.

Additional Information

• The Santoor is a hammered dulcimer-like instrument that originated in Kashmir.
• It is played by striking the strings with a pair of light wooden mallets.
• Pandit Kumar Gandharva was known for his unconventional approach to classical music.
• He experimented with different genres and styles and was known for his innovative compositions.
• Pandit Bhimsen Joshi was a disciple of Sawai Gandharva and was known for his mastery over the Kirana Gharana style of music.
• He was awarded the Bharat Ratna, India's highest civilian award, in 2008.
• Pandit Ravi Shankar was a sitar maestro who collaborated with numerous Western musicians and popularized Indian classical music in the West.
• He was awarded the Bharat Ratna in 1999.

The correct answer is Speed.

Key Points

• The equation ac = v²/R provides the centripetal acceleration of an object moving in a circular path.
• Here, 'v' represents the speed or velocity of the object.
• The unit of speed is meters per second (m/s) or kilometers per hour (km/h).

Additional Information

• Distance is the total length covered by an object in motion and is measured in meters (m) or kilometers (km).
• Surface area is the total area occupied by the surface of an object and is measured in square units like square meters (m²) or square centimeters (cm²).
• Intensity is the measure of the strength or power of a phenomenon such as light, sound, or radiation and is measured in units like watts per square meter (W/m²) or decibels (dB).

The correct answer is long corner.

Key Points

• Long corner is awarded when the ball goes over the back line after last being touched by a defender, giving the defending team a chance to regain **possession.**​

Additional Information

• Off side is a foul that occurs when an attacking player is ahead of the ball and closer to the opponent's goal than both the ball and the second-to-last defender.
• Free hit is awarded when a foul occurs outside the shooting circle.
• Penalty corner is awarded when a foul occurs inside the shooting circle.

The correct answer is 12%.

Key Points

• The Social Justice and Empowerment Ministry of India saw a 12% increase in the allocation in the Union Budget 2022 - 23.
• This increase in allocation is a positive development as it will help the ministry in implementing various schemes and programs for the welfare of backward classes and people with disabilities.
• The Social Justice and Empowerment Ministry is one of the key ministries of the Government of India and is responsible for the welfare of the disadvantaged sections of the society.
• The ministry has various schemes and programs like scholarships, skill development, rehabilitation, and assistive devices for persons with disabilities, etc.

Additional Information

• On February 1, 2022, India's Minister of Finance, Nirmala Sitharaman, unveiled her fourth budget, the Union Budget for 2022.
• The NDA government lead by Narendra Modi is in its second term and this is its third budget.
• The day before the budget, on January 31, 2022, saw the release of the Economic Survey for 2021–2022.

The correct answer is the ratio between export prices and import prices.

Key Points

• The term of trade is the ratio between the prices of a country's exports and the prices of its imports.
• It is an indicator of a country's economic performance in international trade.
• If the ratio improves, it means that a country can buy more imports with the same quantity of exports, which is favorable for its economy.
• In contrast, if the ratio deteriorates, it means that a country needs to export more to buy the same quantity of imports, which can be a challenge for its economy.

Additional Information

• Trade agreements are not the same as the term of trade, although they can affect it by influencing the demand for a country's exports or imports.
• Loan conditions are not related to the term of trade, although they can affect a country's ability to pay for its imports or to invest in its exports.

The correct answer is Article 40.

Key Points

• Article 40 of the Constitution of India mandates the State to take necessary measures to organize Panchayats and endow them with powers and authority to function as self-governing units.
• This article is a part of Directive Principles of State Policy, which are non-justiciable in nature but are fundamental in the governance of the country.
• The objective behind this article is to promote democratic decentralization and grassroots-level democracy in India.
• Panchayats are an essential institution of local self-government in rural areas, and the Constitution recognizes their significance in the development of the country.

Additional Information

• Article 35 of the Indian Constitution gives Parliament the power to make laws that implement the fundamental rights guaranteed by the Constitution.
• Article 38 pertains to the State's duty to secure a social order for the promotion of the welfare of the people.
• Article 32 provides for the right to constitutional remedies for enforcing fundamental rights.

The correct answer is PRASHAST.

Key Points

• PRASHAST is a Disability Screening Mobile App developed by NCERT launched in Delhi schools to screen students with suspected disabilities.
• This app is designed to identify children with special needs and disabilities at an early stage and provide them with appropriate interventions.

Additional Information

• SAMAGRA is an integrated school education portal that provides services like student tracking, teacher management, and school infrastructure monitoring.
• VIDYAN is an e-learning platform developed by the Indian Space Research Organization (ISRO) to provide educational resources to students and teachers.
• SAMAGAM is a national level congregation of artists, musicians, and performers organized by the Ministry of Culture.

Given:

Length of longest diagonal = 7√3

Formula used:

Diagonal of cube = √3 × side

Calculation:

Diagonal of cube = 7√3

⇒ √3 × side = 7√3

⇒ Side = 7 cm

The volume of cube = (side)³

⇒ (7)³ = 343 cm³

∴ The correct answer is 343 cm³.

Given: 

First number = (a + b) (a - b)3

Second number = (a + b)3 (a - b)

Formula used:

Mean proportional = √(Product of numbers)

Calculation:

Mean proportional = √{(a + b) × (a - b)3} × {(a + b)3 × (a - b)}

⇒ √{(a + b) × (a - b)² ×(a - b) × (a + b)2 ×(a + b) × (a - b)}

⇒ √{(a - b)4 × (a + b)⁴}

⇒ (a - b)2 × (a + b)2

∴ The correct option is 1.

Given:

A group of college students complete a project = 10 days

Formula used:

Total work = efficiency × time

Sum of n terms = (n/2) × [a + l]

Where, n = number of terms; a = first term; l = last term

Calculation:

Let the number of students in a group initially = x

According to the question:

⇒ x + (x - 2)......(x - 28) = x × 10

⇒ (15/2) × [x + x - 28] = 10x

⇒ 3 × [2x - 28] = 4x

⇒ 6x - 84 = 4x

⇒ 2x = 84

⇒ x = 42 students

∴ The correct answer is 42 students.

Given:

4 men can finish the work = 18 days

Concept used:

M₁ × D₁ = M₂ × D₂

Where, M = men; D = no. of days

Calculation:

⇒ M1 × D1 = M2 × D2

⇒ 4 × 18 = M2 × 12

⇒ M2 = 72/12 = 6 men

More men will be 6 - 4 = 2

∴ The correct answer is 2 men.

Given:

cos(40° + x) = sin 30°

Formula used:

Cos 60° = sin 30° = 1/2

Calculation:

Cos (40° + x) = sin 30°

⇒ Cos (40° + x) = 1/2

⇒ Cos (40° + x) = cos 60

⇒ (40° + x) = 60°

⇒ x = 20° 

∴ The correct answer is 20°.

Given:

Total circular track length = 500 m

Speed of P  = 6 m/s

Speed of Q = 10m/s

Formula used:

Distance = relative speed × time

Calculation:

Distance = relative speed × time

⇒ 500 = (10 + 6) × time

⇒ Time = 500/16 = 125/4 = 31.25 sec

Distance covered by P = 6 × 31.25 = 187.5 m

Distance covered by Q = 10 × 31.25 = 312.5 m

If speeds of P and Q are exchanged then

Time taken by P to cover 312.5 m = 312.5/10 = 31.25 sec

Time taken by Q to cover 187.5 m = 187.5/6 = 31.25 sec

Since the time is same. So P and Q reach the starting point at the same time.

∴ The correct option is 3.

Shortcut Trick

Total area of the paper = Total Surface Area of the cuboid.

TSA = 2 × (lb + bh + hl) = 2 × (48 + 24 + 32) = 208 sq. units.

The paper forms a square, so Area of square = side² = 208.

side = √208 ≈ 14.42 units (since 14² = 196 and 15² = 225).

∴ The correct answer is 14.42 units.

Alternate Method

8 4 6 Cuboid   Unfolded  Area = 208 a a Square

Given:

Sides of the cuboid:

Length (l) = 8 units

Breadth (b) = 6 units

Height (h) = 4 units

Formula Used:

Total Surface Area of Cuboid = 2 × (lb + bh + hl)

Area of Square = a² (where a is the side of the square)

Calculations:

⇒ Area of the paper used to cover the cuboid = Total Surface Area of the cuboid

⇒ Area = 2 × (8 × 6 + 6 × 4 + 4 × 8)

⇒ Area = 2 × (48 + 24 + 32)

⇒ Area = 2 × 104 = 208 sq. units

This same paper is completely used to form a square. Therefore, the area of the square is equal to the area of the paper.

⇒ Area of the square = 208 sq. units

⇒ a² = 208

⇒ a = √208

We know that 14² = 196 and 15² = 225. Thus, √208 lies between 14 and 15.

⇒ a ≈ 14.42 units

∴ The correct answer is 14.42 units.

Additional Information

Total Surface Area of a Cuboid

It is the sum of the areas of its 6 rectangular faces. The formula is given by TSA = 2(lb + bh + hl).

Area and Perimeter of a Square

For a square with side length 'a', the Area is calculated as a² and the total perimeter boundary is 4a.

Conservation of Surface Area

When a 2D sheet such as paper or foil is unwrapped from a 3D object and reshaped without cutting or overlapping, its total surface area remains perfectly constant.

Shortcut Trick

Overall interest rate = (5,200 ÷ 50,000) × 100 = 10.4%.

Using Alligation between 8% and 12%:

Ratio of Principal (8% : 12%) = (12 − 10.4) : (10.4 − 8) = 1.6 : 2.4 = 2 : 3.

Total units = 2 + 3 = 5 units → ₹50,000.

Investment at 12% rate = 3 units = (50,000 ÷ 5) × 3 = ₹30,000.

∴ The correct answer is ₹30,000.

Alternate Method

Given: Total Principal = ₹50,000, Interest Rates = 8% and 12%, Time = 1 year, Total Interest = ₹5,200.

Formula Used: Simple Interest (SI) = (P × R × T) ÷ 100

Calculations:

⇒ Let the money deposited at 12% be x and at 8% be (50,000 − x).

⇒ [(50,000 − x) × 8 × 1] ÷ 100 + [x × 12 × 1] ÷ 100 = 5,200

⇒ 400,000 − 8x + 12x = 520,000

⇒ 4x = 520,000 − 400,000

⇒ 4x = 120,000

⇒ x = 120,000 ÷ 4 = ₹30,000.

∴ The correct answer is ₹30,000.

Additional Information

Simple Interest Formula

SI is calculated on the original principal for every period: SI = (P × R × T) ÷ 100, where P is principal, R is rate per annum, and T is time in years.

Alligation Rule

It is a rule to find the ratio in which two ingredients at given prices/rates must be mixed to produce a mixture at a given mean price/rate: (Cheaper Quantity) ÷ (Dearer Quantity) = (Dearer Rate − Mean Rate) ÷ (Mean Rate − Cheaper Rate).

Effective Interest Rate

When a sum is split into different parts with different rates, the effective rate is the total interest divided by the total principal, multiplied by 100.

Calculation:

Total amount of salary in 4 years = 200000 + 250000 + 300000 + 350000 = Rs.1100000

Average amount of salary in four years = 1100000/4 = Rs.275000

∴ The correct answer is Rs.275000.

Given:

Tarun plot = 110% × Basab plot

Nakul plot = 140% × Tarun plot

Area of Nakul plot = 2695 feet²

Calculation:

Tarun plot : Basab plot = 110 : 100 = 11 : 10

Nakul plot : Tarun plot = 140 : 100 = 7 : 5

Tarun plot must be same so

Tarun plot : Basab plot = (11 : 10) × 5 = 55 : 50

Nakul plot : Tarun plot = (7 : 5) × 11 = 77 : 55

Tarun plot : Basab plot : Nakul plot = 55 : 50 : 77

Now, 77 units = 2695 feet²

⇒ Basab plot = 50 units = (2695 × 50)/77

⇒ Basab plot = 35 × 50 = 1750 feet²

∴ The correct answer is 1750 feet2.

Formula used:

(a + b)² = a² + b² + 2ab

a² - b² = (a + b) (a - b)

Calculation:

$\frac{s^2+t^2+2 s t-u^2}{s^2-t^2-2 t u-u^2}$

⇒ $\frac{(s^2+t^2+2^st)-u^2}{s^2-(t^2+2tu+u^2)}$

⇒ $\frac{(s+t)^2-u^2}{s^2-(t+u)^2}$

⇒ $\frac{(s+t+u)(s+t-u)}{(s+t+u)(s-t -u)}$

⇒ $\frac{s+t-u}{s-t-u}$

∴ The correct option is (1).

Formula used:

(1/sin θ) = cosec θ

Calculation:

(1 / sinθ) - sinθ

(1 - sin²θ)/sinθ

cos²θ/sin θ

Cosθ cotθ

∴ Option 1 is the correct answer.

Given:

Total quantity of mangoes = 1600

Cost price of mangoes = Rs.120/dozen

Formula used:

Gain = (S.P - C.P)

Gain% = (P × 100)/C.P

Where, P = profit; C.P = cost price; S.P = selling price

Calculation:

Price of 12 mangoes = 120

Price of 1 mango = 120/12 = 10

Total C.P = 1600 × 10 = Rs.16000

Total S.P = 900 × 15 + 700 × 14

⇒ 13500 + 9800 = 23300

Gain = (23300 - 16000) = Rs.7300

Gain% = (Gain × 100)/C.P

⇒ (7300 × 100)/16000

⇒ 730/16 = 45.625%

∴ The correct answer is 45.625%.

Given:

Speed of thief = 15 km/hr

Formula used:

Distance = relative speed × time

Calculation:

Distance covered by thief in 20 minutes = 15 × (20/60) = 5 km

Since there is a gap of 200,m = 5 - 0.2 = 4.8 km. 

Distance covered by a policeman in 16 minutes = 4.8 km

⇒ Speed of policeman × (16/60) = 4.8

⇒ Speed of policeman = (4.8 × 60)/16 = 18 km/hr

Now,

Distance = relative speed × time

⇒ 200 = (18 - 15) × (5/18) × time

⇒ Time = (200 × 18)/(3 × 5)

⇒ Time = 240 sec

Distance covered by thief = (15 × 240)/3600 = 1 km

Total distance covered by thief = 5 + 1 = 6 km

∴ The correct option is 2.

Given:

Radius of small circle (r) = 4 cm

AE = 6 cm; EC = 9 cm

Concept used:

The tangent makes a right angle with the radius of a circle at the point of contact.

The vertical opposite angle is equal.

Calculation:

AD ⊥ AC and BC ⊥ AC

∠DAE = ∠BCE = 90°

In △DAE and △BCE

∠DAE = ∠BCE = 90°

∠AED = ∠BEC (Vertical angle)

△DAE ∼ △BCE (By AA similarity)

By C.P.C.T

⇒ AE/EC = AD/BC

⇒ 6/9 = 4/BC

⇒ BC = 36/6 = 6 cm

∴ The correct answer is 6 cm.

Given:

PQ is a diameter.

∠QOR = 100°

Concept used:

the angle subtended by the chord at the centre of the circle is twice

the angle subtended at any point on the circle's circumference. 

Calculation:

⇒ ∠QOR + ∠ROP = 180°

⇒ ∠ROP = 180 - 100 = 80°

∠ROP = 2 × ∠PSR

⇒ ∠PSR = 80/2 = 40°

∴ The correct answer is 40°.

Shortcut Trick

The expression a³ + b³ − c³ + 3abc can be written as (a + b − c) × [1.5(a² + b² + c²) − 0.5(a + b − c)²].

Given (a + b − c) = 20 and (a² + b² + c²) = 152.

Value = 20 × [1.5 × 152 − 0.5 × 20²]

Value = 20 × [228 − 200] = 20 × 28 = 560.

∴ The correct answer is 560.

Alternate Method

Given:

(a + b − c) = 20

a² + b² + c² = 152

Formula Used:

1. (a + b − c)² = a² + b² + c² + 2(ab − bc − ca)
2. a³ + b³ − c³ + 3abc = (a + b − c)(a² + b² + c² − (ab − bc − ca))

Calculations:

Using the squaring formula:

⇒ (20)² = 152 + 2(ab − bc − ca)

⇒ 400 = 152 + 2(ab − bc − ca)

⇒ 400 − 152 = 2(ab − bc − ca)

⇒ 248 = 2(ab − bc − ca)

⇒ (ab − bc − ca) = 124

Now, substituting the values into the cubic identity:

⇒ a³ + b³ − c³ + 3abc = (20) × (152 − 124)

⇒ a³ + b³ − c³ + 3abc = 20 × 28

⇒ a³ + b³ − c³ + 3abc = 560

∴ The correct answer is 560.

Additional Information

Standard Algebraic Identity

The general form is a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca).

Special Conditional Case

If a + b + c = 0, then a³ + b³ + c³ = 3abc. This is frequently used in competitive exams.

Half-Difference Form

a³ + b³ + c³ − 3abc = 0.5(a + b + c)[(a − b)² + (b − c)² + (c − a)²], useful when differences are given.

Given:

The total quantity of mixture = 40 litres

Calculation:

Alcohol present in mixture = 40 × 25% = 10 litres

Water present in mixture = 40 - 10 = 30 litres

10 litres of water is added to the mixture.

New quantity of water = 30 + 10 = 40 litres

Percentage of alcohol in mixture = (10 × 100)/50 = 20% 

∴ The correct answer is 20%.

Concept used:

Average of N numbers = sum of N numbers/N

Calculation:

Sum of total FDI over the years 1992 - 1997 = 5.7 + 10.15 + 12.16 + 10.22 + 24.23 + 31.36 = 93.82 millions of euros

Average FDI over the years 1992 - 1997 = 93.82/6 = 15.6

∴ The correct answer is 15.6.

Shortcut Trick

Identify the Discount by subtracting the Selling Price from the Marked Price.

Discount = 15990 − 12792 = 3198.

Use the ratio-unitary method: Discount % = (3198 ÷ 15990) × 100.

The fraction simplifies to 1 ÷ 5, which equals 20%.

∴ The correct answer is 20%.

Alternate Method

Given → Marked Price (MP) = ₹15,990, Selling Price (SP) = ₹12,792. Formulas: Discount = MP − SP | Discount % = (Discount ÷ MP) × 100.

⇒ Discount = 15990 − 12792 = 3198. ⇒ Discount % = (3198 ÷ 15990) × 100. ⇒ Discount % = 0.2 × 100 = 20%.

∴ The correct answer is 20%.

Additional Information

Marked Price & Discount

The Marked Price is the price listed on the product, and Discount is always calculated on this value to find the Selling Price.

Selling Price Calculation

Selling Price (SP) = MP × (100 − Discount %) ÷ 100.

Calculation:

• 7p - [3q - {8p - (4q - 10p)}]

⇒ - 7p - [3q - {8p - 4q + 10p}]

⇒ - 7p - [3q - 8p + 4q - 10p]

⇒ - 7p - 3q + 8p - 4q + 10p

⇒ 18p - 7p - 7q

⇒ 11p - 7q

∴ The correct answer is 11p - 7q.

Given:

(20 women + 15 men) can complete a work = 6 days

1 woman can complete the same work = 150 days

Formula used:

Total work = efficiency × time

Calculation:

Let the man efficiency = M

and the woman's efficiency = W

According to the question:

⇒ (20 W + 15 M) × 6 = W × 150

⇒​ 20 W + 15 M = W × 25

⇒​ 15 M = 25 W - 20 W

⇒​ M/W = 5/15 = 1/3

Total work =  W × 150

⇒ 3 × 150 = 450 units

Time taken to complete the work by 1 man = 450/1 = 450 days

∴ The correct answer is 450 days.

Given:

Radius of circle = 4 cm

AC = 12 cm;

∠ACB = 90°  

Concept used:

The tangent makes a right angle with the radius of a circle at the point of contact.

If two tangents are drawn from an external point of the circle, then they are equal in length.

Formula used:

Pythagoras theorem:

H² = P² + B²

Where, P = perpendicular; B = base;

H = hypotenuse

(a + b)² = a² + b² + 2ab

Calculation:

Quadrilateral PCRO is a square.

PC = CR = 4 cm

AR = (AC - CR) = (12 - 4) = 8 cm

AR = AQ = 8 cm

In △ABC

(AB)² = (AC)² + (BC)²

⇒ (8 + x)² = 12² + (4 + x)²

⇒ 64 + x² + 16x = 144 + 16 + x² + 8x

⇒ 64 + 16x = 160 + 8x

⇒ 8x = (160 - 64) = 96

⇒ x = 96/8 = 12

BC = (4 + x) = 4 + 12 = 16 cm

∴ The correct answer is 16 cm.

Concept used:

Divisibility rule of 44:

If a number is divisible by 4 and 11, then the number is also divisible by 44.

Divisibility rule of 11:

If the difference between odd places and even places is either 0 or divisible by 11,

then the number is divisible by 11.

Divisibility rule of 4:

If the last two digits of a number are divisible by 4, then the number is divisible by 4.  

Calculation:

We need to check it by option:

Option 1:

Number = 32802

Last two digits = 02

2 is not divisible by 4. So the number is not divisible by 4.

The number is not divisible by 44.

Option 2:

Number = 54736

Last two digits = 36

36 is divisible by 4. So the number is divisible by 4.

Sum of digits at odd places = 5 + 7 + 6 = 18

The sum of digits at even places = 4 + 3 = 7 

Difference between the sum of odd places and even = (18 - 7) = 11

11 is divisible by 11. So the number is divisible by 11.

The number is divisible by 11 and 4. So the number is divisible by 44.

∴ The correct option is 2.

Concept used:

(√a + √b)/(√a - √b) = {(√a + √b) × (√a + √b)}/{(√a - √b) × (√a + √b)}

Formula used:

(a - b)² = a² + b² - 2ab

a2 - b2 = (a + b) × (a - b)

Calculation:

(√x - √y)/(√x + √y)

⇒ {(√x - √y) × (√x - √y)}/{(√x + √y) × (√x - √y)}

⇒ (√x - √y)²/}(√x)² - (√y)²

Now, putting the value of x = 2 and y = 3

⇒ (√2 - √3)2/}(√2)2 - (√3)2

⇒ - {(√2)2 + (√3)2 - 2 × √2 × √3}

⇒ - (2 + 3 - 2√6)

⇒ 2√6 - 5

∴ The correct answer is 2√6 - 5.

The correct answer is: "If you are not alert, you are likely to miss opportunities."

Key Points

 

• The idiom "You snooze, you lose" means that if you are not alert and attentive, you are likely to miss out on opportunities. (अगर आप सतर्क और ध्यानदेने में अक्षम हैं, तो आपके लिए अवसर चूकने की संभावना है)
• Example: She wanted to buy that limited-edition item, but she hesitated, and now it's sold out. You know what they say, "You snooze, you lose."
• The phrase implies that being lazy or inactive can lead to missed chances.
• The idiom is often used in contexts such as sports, business, or relationships where quick thinking and decisive action are important.
• The phrase can also be used as a warning to someone who is not paying attention or not taking a situation seriously.

Therefore, the correct answer is option 4.

The correct answer is: "have been told".

Key Points

• The sentence is in the present perfect tense, indicating that the action started in the past and continues up to the present.
• Structure:
• "Have been told" is the correct form of the present perfect tense for the third person plural subject "stories".
• The use of "throughout history" also suggests that this action has been ongoing.

Thus, option 3 is the correct answer.

Complete sentence: "Stories of dolphins’ saving human lives have been told throughout history."

Additional Information

 

"Have been said" is grammatically correct but less commonly used in this context.

"Told" is in the past tense and does not fit with the present perfect tense of the sentence.

"Had been said" is in the past perfect tense and does not fit with the present perfect tense of the sentence.

Confusion Points

• "Told" is used here because it implies the act of narrating or recounting stories.
• "Said," on the other hand, is more typically used for direct speech or when you want to attribute specific words to a person.
• Therefore,  "told" is the preferred verb because it relates to the act of narrating stories.

The correct answer is: Vanished.

Key Points

• A synonym is a word having the same or nearly the same meaning as another word.
• Extinct means no longer in existence or happening. (अब अस्तित्व में न��ीं है या घटित नहीं हो रहा है)
• Example: Many ancient languages have become extinct, their words and grammar structures lost to history.
• Marked option Vanished means disappeared suddenly and completely. (अचानक और पूरी तरह से गायब हो गया)
• Example: The treasure chest, hidden for centuries, suddenly vanished without a trace.
• So, 'vanished' is a suitable synonym for 'extinct'.

Therefore, the correct answer is option 2.

Additional Information

• Vibrant means full of energy and enthusiasm. (ऊर्जा और उत्साह से भरपूर)
• Active means engaged in physical or mental activity. (शारीरिक या मानसिक गतिविधि में लगे हुए)
• Living means having life or being alive. (जीवन होना या जीवित होना)

The correct answer is: Praise.

Key Points

• Glorify means to praise or honour something or someone. (किसी वस्तु या व्यक्ति की प्रशंसा या सम्मान करना)
• Example: The fans glorified the football team after their victory in the championship.
• Marked option Praise is a noun that refers to the expression of approval, admiration, or compliments given to someone for their achievements, qualities, or actions. (किसी को उसकी उपलब्धियों, गुणों या कार्यों के लिए दी गई स्वीकृति, प्रशंसा या प्रशंसा की अभिव्यक्ति)
• Example: He received praise from his colleagues for his innovative ideas that improved the company's productivity.
• Other synonyms of Glorify include exalt, extol, laud, and acclaim.

Therefore, the correct answer is option 3.

Additional Information

• Simplify means to make something easier to understand or do. (किसी चीज़ को समझना या करना आसान बनाना)
• Stupefy means to stun or shock someone, leaving them unable to think or act. (किसी को स्तब्ध या चौंका देना, जिससे वह सोचने या कार्य करने में असमर्थ हो जाए)
• Strengthen means to make something stronger or more powerful. (किसी चीज़ को मजबूत या अधिक शक्तिशाली बनाना)

The correct answer is: "It was a hectic day for Susan with a lot of purchases and a couple of meetings."

Key Points

• The sentence is grammatically correct because it uses the correct article "a" before "lot of purchases" and "couple of meetings".
• Subject: "It" - This is a pronoun that serves as the subject of the sentence.
• Verb: "was" - This is the linking verb that connects the subject to the subject complement.
• Subject Complement: "a hectic day for Susan with a lot of purchases and a couple of meetings" - This is a noun phrase that provides more information about the subject "It." It describes what kind of day it was for Susan.
• So, the sentence is grammatically correct and effectively conveys that Susan had a busy and eventful day with numerous purchases and a few meetings.

Therefore, the correct answer is option 1.

Additional Information

• Option 2: Incorrect grammar due to the use of "the" before "lot of purchase".
• Option 3: Incorrect grammar due to the use of "an" before "couple of meetings".
• Option 4: Incorrect grammar due to the use of "the" before "hectic day" and "couple of meetings".