SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3) (Previous Year Paper)

The logic followed here is:

Logic: (1st number)² - 100 = 2nd number.

Now,

For, 17 ∶ 189

→ 17² - 100

→ 289 - 100 = 189. 

For, 13: 169

→ 132 - 100

→ 169 - 100 = 69. 

Similarly, for 18 ∶ ? 

→ 182 - 100

→ 324 - 100 = 224.

Hence, the correct answer is "Option 1".

Statements:

All males are boys.

Some teachers are boys.

All students are teachers.

The Venn diagram as per the given statements:

Conclusions:

I. Some boys are males. → Follow (All males are boys, which means some boys are males also)

II. Some teachers are students. → Follow (All students are teachers, which means some teachers are students)

Ill. All males are students. → not follow (Because there is no definite relation given between males and students, it is possible but not definitely follow.)

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

Given:

(12, 40, 14)

(15, 33, 9)

Logic: Second no. = [(Third no. × 2) + First no.]

(12, 40, 14) →

⇒ [(14 × 2) + 12]

⇒ (28 + 12) = 40

(15, 33, 9) →

⇒ [(9 × 2) + 15]

⇒ (18 + 15) = 33

Checking all the given options:

1. (11, 105, 42) →

⇒ [(42 × 2) + 11]

⇒ (84 + 11) = 95

2. (21, 35, 41) →

⇒ [(41 × 2) + 21]

⇒ (82 + 21) = 103

3. (21, 95, 35) →

⇒ [(35 × 2) + 21]

⇒ (70 + 21) = 91

4. (21, 91, 35) →

⇒ [(35 × 2) + 21]

⇒ (70 + 21) = 91

Here, (21, 91, 35) shows a similar relation to the given set of numbers.

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

Given:

M N B _ C M _ _ W C M N B _ _ M _ _ Y C

Checking all the given options:

1. V N B X C N B

Here, the series is completed.

2. V N B Y D N B

M N B V C / M N B W C / M N B Y D / M N B Y C

3. W Y Y Y C N B

M N B W C / M Y Y W C / M N B Y C / M N B Y C

4. W N B Y D N B

M N B W C / M N B W C / M N B Y D / M N B Y C

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

The logic followed in the given figure series is:

Logic:

1. (5) moves in the upper row and changes into (2) and then (2) changes into (5) alternatively.
2. The triangle moves in the middle column as shown below.
3. The circle is moving clockwise to the middle and corners of the square perimeter.

From Figure (1) to (2):

From Figure (2) to (3):

From Figure (3) to (4):

From Figure (4) to Answer Figure (5):

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

Here, we use the table given below:

Logic: 'Opposite alphabet is the code'

LIGHT : ORTSG →

FANCY : UZMXB →

Similarly, for 'WATCH : ?' →

Here, 'WATCH : DZGXS' is the correct pair.

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

Here, we use the BODMAS table given below:

Given:

⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436

(1) ÷ and +

⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436

After changing the signs:

⇒ 1664 + 4 × 2 ÷ 712 - 316 = 436

Apply BODMAS rule:

⇒ 1664 + 4 × 0.0028 - 316

⇒ 1664 + 0.0112 - 316

⇒ 1664.0112 - 316 = 1348.0112

Here, the equation is not satisfied.

(2) ÷ and -

⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436

After changing the signs:

⇒ 1664 - 4 × 2 + 712 ÷ 316 = 436

Apply BODMAS rule:

⇒ 1664 - 4 × 2 + 2.25

⇒ 1664 - 8 + 2.25

⇒ 1666.25 - 8 = 1658.25

Here, the equation is not satisfied.

(3) - and +

⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436

After changing the signs:

⇒ 1664 ÷ 4 × 2 - 712 + 316 = 436

Apply BODMAS rule:

⇒ 416 × 2 - 712 + 316

⇒ 832 - 712 + 316

⇒ 1148 - 712 = 436

⇒ '1664 ÷ 4 × 2 - 712 + 316 = 436'

Here, the equation is satisfied.

(4) + and ×

⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436

After changing the signs:

⇒ 1664 ÷ 4 + 2 × 712 - 316 = 436

Apply BODMAS rule:

⇒ 416 + 2 × 712 - 316

⇒ 416 + 1424 - 316

⇒ 1840 - 316 = 1524

Here, the equation is not satisfied.

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

The embedded part of this image is:

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

Given:

_ _ BFGDM _ _ G _ MBF _ D _ B _ G

Checking all the given options:

1. DMFBDGMF

DMBFG / DMFBG / DMBFG / DMBFG

2. DMBFDGMF

DMBFG / DMBFG / DMBFG / DMBFG

Here, the series is completed.

3. DFBMDGMF

DFBFG / DMBMG / DMBFG / DMBFG

4. DMBFGDFM

DMBFG / DMBFG / GMBFD / DFBMG

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

The logic followed in the given figure series is:

From Figure (1) to (2):

The symbols move as shown below.

From Figure (2) to (3):

The symbols move as shown below.

.

From Figure (3) to (4):

The symbols move as shown below.

From Figure (4) to Answer Figure (5):

The symbols move as shown below.

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

Here, we use the table given below:

Logic: Addition of (3) and (4) in the first and third letter's position value and subtraction of (2) from the second letter's position value.

BPX : ENB →

KUW : NSA →

Similarly,  for 'FOY : ?' →

Here, 'FOY : IMC' is the correct pair.

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

Logic: Second no. = [(First no.) × 8 + 3]

Checking all the given options:

1. (24, 195) →

⇒ [(24 × 8) + 3]

⇒ (192 + 3) = 195

2. (26, 211) →

⇒ [(26 × 8) + 3]

⇒ (208 + 3) = 211

3. (25, 200) →

⇒ [(25 × 8) + 0]

⇒ (200 + 0) = 200

4. (36, 291) →

⇒ [(36 × 8) + 3]

⇒ (288 + 3) = 291

Here,  in (25, 200) different logic is followed.

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

Preparing the family tree diagram by using the following symbol:

​

As per the given information:

 

Here, Veronica is the wife of her husband's brother.

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

Given:

(54, 32, 66)

(49, 31, 54)

Logic: Third no. = [(First no. - Second no.) × 3]

(54, 32, 66) →

⇒ [(54 - 32) × 3]

⇒ (22 × 3) = 66

(49, 31, 54) →

⇒ [(49 - 31) × 3]

⇒ (18 × 3) = 54

Checking all the given options:

1. (39, 18, 63) →

⇒ [(39 - 18) × 3]

⇒ (21 × 3) = 63

2. (44, 28, 52) →

⇒ [(44 - 28) × 3]

⇒ (16 × 3) = 48

3. (68, 49, 55) →

⇒ [(68 - 49) × 3]

⇒ (19 × 3) = 57

4. (55, 30, 70) →

⇒ [(55 - 30) × 3]

⇒ (25 × 3) = 75

Here, (39, 18, 63) shows a similar relation to the given set of numbers.

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

Given:

4, 11, 20, 31, 44,?

Logic: Addition of consecutive odd numbers from 7.

Here, '59' is the next number.

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

Statements:

All curtains are doormats.

Some doormats are pillows.

Some pillows are bedsheets.

The Venn diagram as per the given statements:

Conclusions:

I. Some bedsheets are doormats. → not follow (Because there is no definite relation given between bedsheets and doormats, so it can be possible only but not definitely true)

II. Some bedsheets are curtains. → not follow (Because there is no definite relation given between bedsheets and curtains, so it can be possible only but not definitely true)

III. Some pillows are doormats. → Follow (Some doormats are pillows, which means some pillows are doormats is definitely true)

Hence, the correct answer is "Only conclusion III follows".

Given:

Normal year = 365 days = 52 weeks + 1 day

As per the question:

1 year and 2 days later is Tuesday, which means the last day of the year is Saturday.

In a normal year first and last days are the same means today is also Saturday.

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

The embedded part of this image is:

 

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

The mirror image of the given figure is:

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

Here, we use the table given below:

The logic followed in the given codes:

'PUBLIC' is written as 'TIEIUY'→

'SERVER' is written as 'WEUSEN' →

Similarly, 'DIRECT' will be written as:

Here, 'DIRECT' is written as 'HCUBIP'.

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

Given:

(36, 6, 18)

(35, 5, 21)

Logic: Third no. = [(First no. ÷ Second no.) × 3]

(36, 6, 18) →

⇒[(36 ÷ 6) × 3]

⇒ (6 × 3) = 18

(35, 5, 21) →

⇒[(35 ÷ 5) × 3]

⇒ (7 × 3) = 21

Checking all the given options:

1. (49, 7, 21) →

⇒[(49 ÷ 7) × 3]

⇒ (7 × 3) = 21

2. (63, 7, 98) →

⇒[(63 ÷ 7) × 3]

⇒ (9 × 3) = 27

3. (100, 5, 40) →

⇒[(100 ÷ 5) × 3]

⇒ (20 × 3) = 60

4. (76, 13, 5) →

⇒[(76 ÷ 13) × 3]

⇒ (5.84 × 3) = 17.53

Here, (49, 7, 21) shows a similar relation to the given set of numbers.

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

Here, we use the BODMAS table given below:

Given:

⇒ 17 * 21 * 7 * 5 * 4 * 34

(1) ÷, -, +, ×, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 ÷ 21 - 7 + 5 × 4 = 34

Apply BODMAS rule:

⇒ 0.809 - 7 + 5 × 4

⇒ 0.809 - 7 + 20

⇒ 20.809 - 7 = 13.809

Here, the equation is not satisfied.

(2) -, ÷, +, ×, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 - 21 ÷ 7 + 5 × 4 = 34

Apply BODMAS rule:

⇒ 17 - 3 + 5 × 4

⇒ 17 - 3 + 20

⇒ 37 - 3 = 34

⇒ '17 - 21 ÷ 7 + 5 × 4 = 34'

Here, the equation is satisfied.

(3) +, ×, ÷, -, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 + 21 × 7 ÷ 5 - 4 = 34

Apply BODMAS rule:

⇒ 17 + 21 × 1.4 - 5

⇒ 17 + 29.4 - 5

⇒ 46.4 - 5 = 41.4

Here, the equation is not satisfied.

(4) ×, -, ÷, +, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 × 21 - 7 ÷ 5 + 4 = 34

Apply BODMAS rule:

⇒ 17 × 21 - 1.4 + 4

⇒ 357 - 1.4 + 4

⇒ 361 - 1.4 = 359.6

Here, the equation is not satisfied.

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

The correct order of words as they would appear in the English dictionary is:

3. Signed
4. Significant
5. Simplify
6. Sinful
7. Singing

The correct order is '3, 1, 5, 2, 4'.

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

The mirror image of the given figure is:

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

Preparing the family tree diagram by using the following symbol:

​

As per the given information, the family tree is:

Here, Y is the mother of P.

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

The correct answer is coffee.

Key Points

• Coffee:-
• The coffee harvesting season typically occurs between November and February.
• Coffee is often grown in shade, either within natural forest areas or under a mix of shade trees on plantations.
• This practice helps protect the coffee plants from harsh sunlight and provides a conducive microclimate. Coffee plants require well-drained soil and moderate rainfall.
• Baba Budan hill'), also known as Chandradrona ( lit. 'Moon guide', as the range naturally forms the shape of a crescent moon), is a hill and mountain range in the Western Ghats of India, located in the Chikkamagaluru district of Karnataka.
• The cultivation of coffee was introduced on the Baba Budan Hills in India.
  

​

Additional Information

• Tea cultivation in India was introduced in the region of Assam.
• The cultivation of silk in India is believed to have been introduced in the region of ancient India known as Kanchipuram, located in present-day Tamil Nadu.
• The cultivation of cardamom in India is believed to have been introduced in the southern state of Kerala.

The correct answer is Two.

Key Points

• The gravitational attraction between the Earth, the Moon, and the Sun causes tides in the Earth's oceans.
• There are typically two high tides and two low tides in most locations around the world in a 24-hour period, resulting in a semi-diurnal tide pattern.
• Each high tide is followed by a low tide, and then there's another high tide and low tide.
• The time between successive high tides (or low tides) is approximately 12 hours and 25 minutes, which means there are about two high tides and two low tides in a day.
• This is because the Moon's gravitational pull causes a bulge of water on the side of the Earth facing the Moon (the high tide), and another bulge on the opposite side of the Earth (the low tide).
• The Sun's gravitational pull also contributes to the tides, though its effect is about half that of the Moon's due to the Sun's greater distance.

The correct answer is Prarthana Samaj

Key Points

• Prarthana Samaj:-
• The Prarthana Samaj was founded in 1867 in Bombay by Dr. Atmaram Pandurang.
• It was an off-shoot of Brahmo Samaj.
• It was a reform movement within Hinduism and Justice M.G. Ranade and R.G. Bhandarkar joined it in 1870 and infused new strength to it.
• Several members of the Prarthana Samaj had earlier been active in the Paramhansa Mandali.
• This Samaj denounced idolatry, priestly domination, caste rigidities, and preferred monotheism.
• It also concentrated on social reforms like inter-dining, inter-marriage, widow remarriage, and the uplift of women and depressed classes.
• Veeresalingam Pantulu was the Telugu reformer who encouraged the Prarthana Samaj in South India.​
• Ramakrishna Gopal Bhandarkar:-
• He was an influential Indian scholar and social reformer.
  

Bhandarkar was a distinguished scholar in Sanskrit and ancient Indian history.

• He made valuable contributions to deciphering ancient Indian inscriptions and texts, shedding light on India's past.
• He was associated with the Prarthana Samaj, a reformist movement focused on promoting monotheism, rationalism, and social equality.

Additional Information

• The Arya Samaj
• The Arya Samaj was formed on 10th April 1875.
• Dayananda Saraswati was the founder of Arya Samaj.
• Key principles of Arya Samaj
• They believe in the infallibility of Vedas.
• They opposed idol worship and reincarnation theory.
• They accepted the doctrine of Karma.
• They believed in the one God with no physical existence of God.
• Theosophical Society:-
• It was founded by Madame H. P. Blavatsky and Colonel Olcott in New York in 1875.
• In 1882, the headquarters of the Society were established in Adyar, near Madras (now Chennai) in India.
• The Brahmo Samaj:-
• It was founded in Calcutta in 1828 by Ram Mohan Roy as Brahmo Sabha.
• The Brahmo Samaj was a monotheistic sect of Hinduism
• The samaj was dedicated to the "worship and adoration of the Eternal, the Unsearchable, the Immutable Being, who is the Author and Preserver of the Universe".
• The Samaj was open to all without distinction of color, creed, caste, nation, or religion.

The correct answer is 1984.

Key Points

• Sports Authority of India (SAI):-
• It is an autonomous organization under the Ministry of Youth Affairs and Sports in India.
• It was established in 1984 with the aim of developing and promoting sports in the country.
• SAI is responsible for various functions related to sports management, training, and infrastructure development.
• SAI identifies young sporting talents across the country and provides them with necessary training, coaching, and infrastructure facilities to nurture their skills and potential.
• SAI operates a network of National Sports Training Centers (NSTCs) and Regional Centers of Excellence (RCEs) across India. These centers offer specialized coaching and training in various sports disciplines to prepare athletes for national and international competitions.

The correct answer is Mahaprajapati Gotami

Key Points

• Mahapajapati Gotami:-
• Buddha’s foster mother Mahaprajapati  Gotami was the first woman to be ordained as a bhikkhuni.
• Mahapajapati Gotami was the foster-mother, step-mother, and maternal aunt (mother's sister) of the Buddha.
• In the Buddhist tradition, she was the first woman to seek ordination for women, which she did from Gautama Buddha directly, and she became the first bhikkhuni (Buddhist nun).
• Tradition says Maya and Mahapajapati Gotami were Koliyan princess and sisters of Suppabuddha.
• Mahapajapati was both the Buddha's maternal aunt and adoptive mother, raising him after her sister Maya, the Buddha's birth mother died.
• She was considered the kindest mother who raised Siddhartha as her own child.

Additional Information

• Dhammananda Bhikkhuni:-
• Her birth name is Chatsumarn Kabilsingh, is a prominent figure in the Theravada Buddhist tradition.
• She was born in Thailand in 1944 and is known for her significant contributions to the ordination and recognition of women as fully ordained Buddhist monastics (bhikkhunis) in the Theravada tradition.
• Sujata:-
• She is also known as Sujata Kheema, is a figure from Buddhist tradition who played a significant role in the life of Siddhartha Gautama, who later became known as Gautama Buddha.
• Sujata's story is often referenced in Buddhist texts and teachings, illustrating moments of compassion, generosity, and the path to enlightenment.
• Sanghamitta:-
• She was a historical figure in Buddhism who played a crucial role in the spread and establishment of Buddhism in Sri Lanka during the ancient times.
• She was the daughter of Emperor Ashoka, one of the most renowned rulers of the Maurya Empire in India.
• Sanghamitta is particularly known for her efforts in introducing the Theravada Buddhist monastic tradition to Sri Lanka and for her contribution to the propagation of Buddhism in the region.

The correct answer is Luminance.

 Key Points

• Luminance:-
• It refers to the amount of light that is emitted, reflected, or transmitted from a surface, object, or scene.
• It is a measure of the brightness of light and is often used in the context of visual perception, photography, and various fields of science and technology.
• Luminance is typically measured in units called "candelas per square meter" (cd/m²) or "nits." It represents the intensity of light as perceived by the human eye. In simpler terms, it is how bright an object appears to an observer.

Additional Information

• Luminous exposure:-
• It often referred to simply as "exposure," is a concept used in photography and lighting design to quantify the total amount of light that falls onto a photographic film or image sensor in a camera, or onto a surface in a lighting scenario.
• It is a fundamental concept in understanding how light affects the outcome of an image or the illumination of a scene.
• Luminosity:-
• It refers to the total amount of energy radiated by an object or source in the form of electromagnetic radiation, typically including visible light and other forms of energy like infrared and ultraviolet radiation.
• It's a measure of the overall brightness or total energy output of an object, often used in astronomy and physics to describe the intrinsic brightness of celestial bodies.
• Luminous emittance:-
• ​Luminous emittance, also known as luminous exitance, is a term used in lighting and radiometry to describe the amount of visible light emitted or radiated from a surface per unit area.
• It is a measure of the brightness or luminous output of a surface and is commonly denoted by the symbol "M" or "Mv" and is measured in units of lumens per square meter (lm/m²) or lux (lx).

The correct answer is class first.

Key Points

• Vidya Pravesh:-
• It is a term from the Indian education context, particularly in the context of primary education.
• It can be translated to "Entry into Education" or "Initiation into Learning" in English.
• Vidya Pravesh typically refers to the formal process of a child's entry into the world of formal education, often marked by starting school, particularly in the early years of primary education.
• On 29 July 2021, the Government of India launched Vidya Pravesh, a preschool preparation programme for class first students, preparing the children for school.

The correct answer is Karachi Resolution.

Key Points

• Karachi Resolution:-
• The Karachi Resolution was passed by the Indian National Congress at its 1931 Karachi session.
• The Session was conducted in the shadow of three major events.
• First, Mahatma Gandhi had just been released from prison following his Salt Satyagraha.
• Second, the Gandhi-Irwin pact had just been concluded which had brought the civil disobedience movement to an end.
• The origin of Directive Principles of State Policy can be traced to Karachi Resolution.

Additional Information

• The Gandhi-Irwin Pact:-
• It was signed on 5th March 1931 by Mahatma Gandhi and Viceroy Lord Irwin.
• In this pact, Gandhi agreed to end the civil disobedience movement in India against British rule and to join the second Round Table Conference.
• The Poona Pact:-
• It refers to an agreement reached between the leaders of the depressed classes (now known as Scheduled Castes or Dalits) and the upper-caste leadership of the Indian National Congress in 1932.
• This agreement was a significant event in the context of the struggle for political representation and rights for the oppressed communities in British India.
• The Second Round Table Conference:-
• It was one of a series of conferences held in London during the 1930s to discuss constitutional reforms and political issues related to India's future.
• The Second Round Table Conference took place from September 7 to December 1, 1931.

The correct answer is three.

Key Points

• ​Industrial Policy Resolution (IPR) 1956:-
• It laid the foundation for India’s second five-year plan and Industrial policy Resolution 1956, which paved the way for the development of the Public Sector and License Raj.
• In accordance with the goal of the state controlling the commanding heights of the economy, the Industrial Policy  Resolution of 1956 was adopted.
• The 1956 Policy empha­sised the need to expand the public sector and build up a large and growing coop­erative sector.
• It encourages the separation of ownership and management in private in­dustries and, above all, prevents the rise of pri­vate monopolies.
• This resolution formed the basis of the Second Five Year Plan, the plan which tried to build the basis for a socialist pattern of society.
• This resolution classified Industries into three categories.
• The first category comprised industries that would be exclusively owned by the government; the second category consisted of industries in which the private sector could supplement the efforts of the public sector.
• It was based upon the Mahalanobis Model of growth which advocated that emphasis should be laid on the heavy industries, which can increase the economic output of the country. Mahalanobis model suggested the dominance of the heavy industries.
• It laid emphasis on integrated infrastructure development as a prerequisite to private investment and therefore gave priority to power, transport, and financial institutions.
• It gave recognition to small-scale industries such as cottage industries with respect to balanced regional growth and also gave tax concessions and subsidies.
• It gave impetus to industrial development in far-off of the country to increase economic growth.
• It considered FDI as complementary to domestic growth provided a major share in control and management was to be given to Indian hands.

The correct answer is Paralympic 2020.

Key Points

• 2020 Summer Paralympics:-
• It was originally scheduled to be held in Tokyo, Japan, were postponed to 2021 due to the COVID-19 pandemic.
• They are now officially known as the "Tokyo 2020 Paralympic Games," even though they were held in 2021.
• The event took place from August 24 to September 5, 2021.
• 'We have wings' is associated with this.

Additional Information

• 2016 Summer Olympics:-
• It is officially known as the Games of the XXXI Olympiad, were held in Rio de Janeiro, Brazil, from August 5 to August 21, 2016.
• These Olympics featured a wide range of sports and showcased the talent of athletes from around the world.
• 2020 Summer Olympics:-
• It is officially known as the Games of the XXXII Olympiad, were originally scheduled to be held in Tokyo, Japan, from July 24 to August 9, 2020.
• However, due to the COVID-19 pandemic, the International Olympic Committee (IOC) and the Tokyo 2020 Organizing Committee made the unprecedented decision to postpone the Games to 2021.
• The rescheduled dates for the Tokyo 2020 Olympics were July 23 to August 8, 2021.

The correct answer is Pulicat.

Key Points

• Pulicat Lake:-
• Pulicat Lake, saltwater lagoon on the Coromandel Coast of Andhra Pradesh state, southern India.
• It extends from the extreme southeastern portion of Andhra Pradesh into the adjacent portion of Tamil Nadu state and has a length of about 30 miles (50 km) and a width of 3 to 10 miles (5 to 16 km).
• Pulicat Lake is a large brackish water lagoon.

Additional Information

• Loktak:-
• Loktak Lake is situated in the Bishnupur district of Manipur, which is a state in the northeastern part of India.
• Loktak Lake is one of the largest freshwater lake.
• One of the most unique features of Loktak Lake is the presence of "phumdis," which are floating islands made of vegetation, organic matter, and soil.
• Bhimtal:-
• Bhimtal Lake is the largest lake in the Kumaon region.
• The lake is named after the mythological character Bhima from the Hindu epic Mahabharata.
• It is known for its green-blue waters and a small island situated within the lake
• Nainital:-
• The iconic Naini Lake is the heart of Nainital.
• It is a natural freshwater lake that's shaped like an eye and gives the town its name.
• The lake is surrounded by a promenade called the "Mall Road," which offers scenic views of the water and the surrounding hills. Boating is a popular activity on the lake.

The correct answer is 1674.

Key Points

• Anton Van Leeuwenhoek:-
• Microbiologist and microscopist Antonie Philips van Leeuwenhoek was from the Netherlands.
• He is frequently referred to as "the Father of Microbiology."
• Single-celled life forms were discovered by Anton Van Leeuwenhoek in 1674.
• Anton van Leeuwenhoek in Holland made more crucial discoveries using a microscope after Robert Hooke discovered cells in cork. He said that cells are the building blocks of life.

Additional Information

• Single-celled life:-
• It refers to organisms that consist of only one cell, as opposed to multicellular organisms which are composed of multiple cells.
• These single-celled organisms are known as unicellular organisms.
• They are some of the simplest forms of life on Earth and have been present for the majority of the planet's history.
• Single-celled organisms can be found in various environments, including water, soil, and even inside other organisms.

The correct answer 1 - c, 2 - a, 3 - b.

Key Points

• Dzongkha:-
• Dzongkha is the official language of Bhutan.
• It is a Tibeto-Burman language and is widely spoken by the Bhutanese people.
• Dzongkha is not only the language of communication but also holds cultural and religious significance in Bhutan.
• Burmese:-
• It is the official language of Myanmar.
• It is the most widely spoken language in Myanmar and serves as a vital medium of communication, culture, and administration.
• Sinhala:-
• It is the official language of Sri Lanka.
• It is the mother tongue of the Sinhalese ethnic group, which constitutes the majority of the population in Sri Lanka.
• Sinhala has a rich history and cultural significance in the country.

The correct answer is Veer Kunwar Singh

Key Points 

• Veer Kunwar Singh:-
• ​Kunwar Singh belonged to the Rajput house of Jagdispur.
• He led the Revolt of 1857 from Bihar.
• He died at the age of 80 fighting the British soldiers.

Additional Information

• Azimullah Khan:-
• He was a key figure during the Indian Rebellion of 1857.
• He was a trusted advisor to Bahadur Shah II, the last Mughal emperor of India, and played a significant role in the events leading up to and during the rebellion.
• Bakht Khan:-
• He was a prominent figure during the Indian Rebellion of 1857.
• He was a soldier in the service of the British East India Company who later joined the rebellion against British rule.
• He played a significant role in the events of the uprising, particularly in Delhi.
• Maulvi Ahmadullah Shah;-
• He is also known as Maulvi Ahmadullah.
• He was an important figure in the Indian Rebellion of 1857.
• He was a prominent leader and a religious cleric who played a significant role in organizing and leading the rebellion in the region of Awadh (Oudh), which is present-day Uttar Pradesh in India.

The correct answer is Manipur.

Key Points

• Thabal Chongba:-
• It is a traditional folk dance from Manipur, a northeastern state of India.
• It is a vibrant and lively dance that is usually performed during the festival of Holi, which is known as "Yaosang" in Manipur.
• Thabal Chongba is an integral part of Manipuri culture and holds both social and cultural significance.

Additional Information

• Some of the folk dances of Goa:-
• Fugdi
• Dhalo
• Dekhnni
• Mando
• Corredinho
• Tonya Mel
• Dulpod
• Kunbi Dance
• Lamp Dance (Vavraddi)
• Ranmale
• Ghode Modni
• Some of the folk dances of Mizoram:-
• Cheraw Dance
• Khuallam
• Chheih Lam
• Bamboo Dance
• Sarlamkai
• Chai Dance
• Some of the folk dances of West Bengal:-
• Baul Dance
• Gambhira Dance
• Tusu Dance
• Chhau Dance
• Santhal Dance
• Jhumur Dance
• Bhawaiya Dance
• Raibenshe Dance

The correct answer is Jahangir.

Key Points

• Amar Singh I (1559-1620):-
• Amar Singh I of Mewar kingdom did indeed have interactions with the Mughal Empire.
• He was a contemporary of Emperor Jahangir, who ruled the Mughal Empire from 1605 to 1627.
• Amar Singh I, initially continued the legacy of resistance against the Mughals that was characteristic of his forebears, including his father Maharana Pratap.
• However, after years of conflict, he eventually came to a settlement with the Mughal Emperor Jahangir.
• This occurred in the early 17th century.
• He did so to avoid direct confrontation and to maintain a degree of control over his territory.
• Jahangir:-
• ​He was the son of Mughal emperor Akbar and Mariam-uz-Zamani (or Jodha Bai).
• He was named Salim but on ascending the throne, he adopted Jahangir which means "World Seizer", as his reign name.
• He was succeeded by his third son, Prince Khurram better known as Shah Jahan.

Additional Information

• Akbar:-
• He is also known as Akbar the Great.
• He was the third Mughal emperor of India, reigning from 1556 to 1605.
• He is considered one of the most prominent and successful rulers in Indian history.
• Akbar's reign marked a significant period of cultural, political, and economic growth in the Mughal Empire.
• Aurangzeb:-
• He was the sixth Mughal emperor of India, reigning from 1658 to 1707.
• He is a highly controversial figure in Indian history due to his strict and often repressive policies, particularly concerning religion.
• Aurangzeb's reign marked a significant departure from the religious tolerance and cultural syncretism associated with his predecessors.
• Babur:-
• He was the founder of the Mughal Empire in India.
• He was a descendant of Timur on his father's side and Genghis Khan on his mother's side.
• Babur's life and achievements laid the foundation for the Mughal dynasty's rule in India.

The correct answer is Gymnosperms are seedless flowering plants.

Key Points

• Gymnosperms:-
• These are a group of plants that produce naked seeds but do not have flowers. (Hence statement 2 is incorrect )
• They include conifers, cycads, ginkgoes, and others.
• Gymnosperms have a higher number of species compared to bryophytes and algae.
• Gymnosperms are typically slow in terms of reproduction; up to a year may pass between pollination and fertilisation and seed maturation may require 3 years.
• They are known for their adaptability to various environmental conditions and can be found in different parts of the world.
• Gymnosperms exhibit cones or strobili and naked seeds, but not flowers.
• Gymnosperms are found as woody shrubs, trees or lianas and include no true aquatics and few epiphytes.

The correct answer is fifteen percent.

Key Points

• Council of Ministers: 
• A Minister who is a member of the house of Parliament has the right to speak and take part in proceedings of the other house of Parliament but can vote only in the house in which he is a member.
• Under Article 75 it is clearly stated that the Council of Ministers is collectively responsible to the Lok Sabha. 
• It means they work as a team and swim or sink together.
• When the Lok Sabha passes a no-confidence motion against the Council of Minister the Ministers have to resign including those Ministers who are from the Rajya Sabha.
• The Council of Minister can advise the President to dissolve the Lok Sabha on the ground that the house does not represent the views of the electorate faithfully and call for fresh elections the President may not oblige the council of the minister that has lost the confidence of the Lok Sabha.
• It is the duty of every Minister to stand by cabinet decisions and support them both within and outside the Parliament.
• ​if any Minister disagrees with a cabinet decision and is not prepared to defend, he must resign.
• The ministers can hold office during the pleasure of the President which means that the President can remove a Minister even at a time when the Council of Ministers enjoys the confidence of the Lok Sabha.
• There is no legal responsibility of a Minister in India.
• The total number of Ministers, including the Chief Minister, in the Council of Ministers in a State shall NOT exceed fifteen percent of the total number of members of the Legislative Assembly of that State.

The correct answer is Lift system.

Key Points

• Solar cells:-
• It is also known as photovoltaic cells, are devices that convert sunlight directly into electricity through a process called the photovoltaic effect.
• They are a key technology in the field of renewable energy, as they provide a clean and sustainable way to generate electricity from sunlight.
• Solar cells are widely used in various applications, including residential and commercial solar power systems, as well as in space exploration and remote power generation.
• Solar cells are not used in Lift system.

The correct answer is Kartika.

Key Points

• Kartika:-
• ​Kartika month is believed to be a time of heightened devotion and spiritual practices.
• Many Hindus undertake special rituals, prayers, and penances during this month to seek blessings, purify themselves, and deepen their connection with the divine.
• The dates of Kartika month vary each year according to the Hindu lunar calendar.
• The exact timing of Kartika depends on the position of the moon and its phases.
• This is why the Gregorian calendar months of October and November roughly correspond to Kartika.

Additional Information

• According to India's national calendar, the names of the months are as follows :-

The correct answer is Andhra Pradesh.

Key Points

• AMPHEX 2023:-
• ​The biennial Tri-Services Amphibious Exercise, AMPHEX 2023 was conducted at Kakinada, Andhra Pradesh from 17 to 22 January 23.
• AMPHEX is aimed at joint training of elements of all three services in various facets of amphibious operations to enhance interoperability and synergy.
• AMPHEX 23 is the first time that the exercise was undertaken at Kakinada, and was the largest ever AMPHEX conducted till date.
• AMPHEX 2023 successfully demonstrated the amphibious capabilities and validated the excellent coordination that exists between the three Services to undertake the full spectrum of amphibious operations.

Additional Information 

• Some Military Exercises of India:
• | Country | Military Exercise | | --- | --- | | USA | Yudh Abhyas, Vajra Prahar | | Bangladesh | Sampriti | | France | Shakti Exercise, Garuda, Varuna | | Indonesia | Garuda Shakti | | Thailand | Maitree Exercise | | Mongolia | Nomadic Elephant | | Japan | Dharma Guardian, Veer Guardian | | China | Hand in Hand | | Oman | Al Najah, Naseem Al Bahr, Eastern Bridge | | Kazakhstan | KAZIND | | Nepal | Surya Kiran | | Oman | Eastern Bridge | | USA, Japan | Malabar | | Singapore | SIMBEX | | Uzbekistan | DUSTLIK |

The correct answer is Kuchipudi

Key Points

• Gaddam Padmaja Reddy:-
• Gaddam Padmaja Reddy, a well-known Kuchipudi dancer, received the Padma Shri award in 2022 for her tireless efforts to advance the dance style.
• Former President Ram Nath Kovind presented the Padma Shri to Padmaja Reddy.
• She is from Pamarru, a village located about 15 kilometres away from Kuchipudi.
• For nearly 50 years, she has been performing Kuchipudi.
• She is renowned for bringing to life on stage the illustrious past and beauty of the Kakatiya empire.
• The 51-year-old Hyderabadi dancer has performed in more than 3000 concerts across 100 nations.
• She was also influenced by the book Nritta Ratnavali, which describes classical and traditional dance.
• At the age of five, she started dancing.

Additional Information

• The different Classical Dances and States include -
• Bharatanatyam, Tamil Nadu.
• Kathak, Uttar Pradesh.
• Kathakali, Kerala.
• Kuchipudi, Andhra Pradesh.
• Odissi, Odisha.
• Sattriya, Assam.
• Manipuri, Manipur.
• Mohiniyattam, Kerala.

The correct answer is Tabla, Pakhawaj, Ghatam

Key Points

• Ustad Alla Rakha Qureshi:-
• He was an Indian tabla player who specialized in Hindustani classical music.
• He was a frequent accompanist of sitar player Pandit Ravi Shankar and was largely responsible for introducing Tabla to the western audience.
• Alla Rakha left home at age 12 to learn tabla under the great master (ustad) Mian Qadir Baksh.
• He also trained under Ashik Ali Khan, a vocalist admired especially for his mastery of the khayal Hindustani song repertoire.
• Totaram Sharma:-
• He is an exponent of pakhawaj.
• The pakhavaj is a barrel-shaped, two-headed drum, originating from the Indian subcontinent, the oldest version of the double-sided drum.
• TH Vinayakam:-
• He was an exponent of Ghatam.
• The ghatam is a traditional percussion instrument from India.
• It is a clay pot with a narrow opening at the top and a wider base.
• The body of the ghatam is made of clay or clay mixed with other materials, and it produces a unique resonant sound when struck or played.

The correct answer is SMILE

Key Points

• SMILE - ''support for marginalized individuals for livelihood and enterprise'.
• About the scheme:
• ​It is a central sector scheme for Beggars and Transgenders.
• It provides for the use of existing shelter homes for rehabilitation of the persons engaged in begging.
• The scheme is formulated by the Ministry of social justice and empowerment.

The correct answer is (nominal GDP / Real GDP) × 100

Key Points

• GDP deflator:-
• It is a measure of the level of prices of all-new, domestically produced, final goods and services in an economy.
• The formula implies that dividing the nominal GDP by the Real GDP will give the GDP deflator, hence "deflating" the nominal GDP into a real measure.

Given:

 a2 + b2 + c2 = ab + bc + ac

Concept used:

Putting the value of a = b = c = 1

Calculation:

By Putting the value of a = b = c = 1 we get,

$\rm \frac{11 a^4+13 b^4+17 c^4}{17 a^2 b^2+9 b^2 c^2+15 c^2 a^2}$

⇒ (11 + 13 + 17) / (17 + 9 + 15)

⇒ 41 / 41 = 1

∴ The correct option is 1

Shortcut Trick

Given DE || BC and AD : DB = 7 : 9.

In ΔABC, AB = AD + DB = 7 + 9 = 16.

Since ΔADE ∼ ΔABC, DE/BC = AD/AB = 7/16.

As DE || BC, ΔDEF is similar to ΔCBF (by AA similarity).

Ratio of areas of similar triangles = (Ratio of corresponding sides)².

Area(ΔDEF) : Area(ΔCBF) = (DE/BC)² = (7/16)² = 49 : 256.

∴ The correct answer is 49 : 256.

Alternate Method

Given: In ΔABC, DE || BC, AD : DB = 7 : 9, and CD, BE intersect at F.

Formula Used: For two similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

Calculations:

⇒ Let AD = 7x and DB = 9x.

⇒ Total length AB = AD + DB = 7x + 9x = 16x.

⇒ In ΔADE and ΔABC, ∠A is common and ∠ADE = ∠ABC (corresponding angles as DE || BC).

⇒ ∴ ΔADE ∼ ΔABC (by AA similarity).

⇒ DE/BC = AD/AB = 7x / 16x = 7/16.

⇒ Now, in ΔDEF and ΔCBF:

⇒ ∠EDF = ∠BCF (Alternate interior angles).

⇒ ∠DEF = ∠CBF (Alternate interior angles).

⇒ ∴ ΔDEF ∼ ΔCBF (by AA similarity).

⇒ Area(ΔDEF) / Area(ΔCBF) = (DE / BC)²

⇒ Area Ratio = (7 / 16)² = 49 / 256.

∴ The correct answer is 49 : 256.

Additional Information

Basic Proportionality Theorem (Thales Theorem)

If a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides the two sides in the same ratio (AD/DB = AE/EC).

Area of Similar Triangles

The ratio of the areas of two similar triangles is equal to the square of the ratio of any two corresponding sides, altitudes, or medians.

AA Similarity Criterion

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Given:

A and B are equally efficient, and each could individually complete a piece of work in 30 days, if none took any holiday.

A and B started working together on this piece of work, but A took a day off after every four days of work, while B took a day off after every five days of work.

Concept used:

Efficiency is inversely proportional to the time of work.

Calculation:

Lets total work in 30 units

The efficiency of A and B both is 30 /30 = 1 unit

In 1st 4 days total work 4 × 2 = 8 units

5th and 6th day 1 unit each respectively.

Total work in 6 days 8+2 = 10units

Total 10 × 3 = 30 units will be done in 6×3 = 18days

So the work will be completed in 18 August 2022

∴ The correct option is 4

Given:

A conical tent with a radius 6 units and height 8 units is to be made by canvas

Concept used:

The curved surface area of the canvas is πrl ( l = slant height and r = radius)

Again l² = r² + h².

Calculation:

Slant hei ght will be , √(6² + 8²) = 10 units

The canvas is needed to make the tent is,

π × 6 × 10 = (22/7) × 6 × 10 

= 188.57 square units

∴ The correct option is 1

Calculation:

The nearest number of 888 exactly divisible by 35 is,

⇒ 35 × 26 = 910

The number should be added 910 - 888 = 22

∴ The correct option is 1

Given:

The square of the difference between two given natural numbers is 324, while the product of these two given numbers is 144. 

Calculation:

Let the numbers are x and y

(x - y)² = 324

So, x - y = 18, xy = 144

(x + y)2 = (18)² + 4× 144

⇒ 900

⇒ x + y = 30

Then, x is (30 + 18) / 2 = 24 and y = 6

So , x² - y² = 24² - 6²

⇒ 576 - 36 = 540

∴ The correct  option is 2

Shortcut Trick

Let total work = 15 units (LCM of 15). Efficiency of A = 1 unit/day.

A works for 2 + 2 = 4 days. Work done by A = 4 × 1 = 4 units.

Remaining work = 15 − 4 = 11 units. B completes this in 20 − 4 = 16 days.

Efficiency of B = 11/16 units/day. Combined efficiency = 1 + 11/16 = 27/16.

Time taken together = 15 ÷ (27/16) = (15 × 16)/27 = 80/9 days.

∴ The correct answer is 80/9 days.

Alternate Method

Given: Time taken by A = 15 days. Total duration of work = 20 days. A works for 4 days total.

Formula Used: Efficiency = Total Work ÷ Time; Time = Total Work ÷ Efficiency

⇒ Work done by A in 4 days = 4 × 1 = 4 units

⇒ Remaining work = 15 − 4 = 11 units

⇒ Time taken by B = 20 days (total) − 4 days (A) = 16 days

⇒ Efficiency of B = 11/16 units/day

⇒ Combined Efficiency (A + B) = 1 + 11/16 = 27/16 units/day

⇒ Time taken together = 15 ÷ (27/16) = (15 × 16) ÷ 27 = 240/27 = 80/9 days

∴ The correct answer is 80/9 days.

Additional Information

Combined Efficiency

When two people work together, their individual efficiencies are added: E_total = E_A + E_B.

Work and Time Relation

Time taken to complete a work is inversely proportional to efficiency: Time = Work / Efficiency.

Remaining Work Concept

If a part of work is done, the remaining work is (1 − part done), which is then used to find the efficiency of the second person.

Calculation:

51 ÷ {25 + (25 of 12 ÷ 30) - (5⁴ ÷ 5 of 125)}

⇒ 51 ÷ {25 + (25 ×  12 / 30) - (5⁴ ÷ 5× 5³)}

⇒ 51 ÷{25 + (25 ×  12 / 30) - 1}

⇒ 51 ÷ {25 + 10 - 1}

⇒ 51 ÷ 34 = 3/2

∴ The correct option is 2

Given:

 sin (5x - 25°) = cos(5y + 25°), where 5x - 25° and 5y + 25° are acute angles,

Concept used:

Sinθ = cos (90°- θ)

Calculation:

As per the question,

 sin (5x - 25°) = cos(5y + 25°)

⇒ sin (5x - 25°) = sin 90 - (5y + 25°)

⇒ (5x - 25°) = 90° - (5y + 25°) 

⇒ 5x + 5y =  90

⇒ x + y =  90/5

⇒ x + y =  = 18° 

∴ The correct option is 3

Given:

A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days.

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day 

Calculation:

Let total work is 60 units ( LCM of 6, 10 , and12 and)

The efficiency of A+B  = 60 /10

⇒ 6 units

The efficiency of B+C = 60 / 12

⇒ 5 units

The efficiency of A+C = 60 / 6

⇒ 10 units

Total efficiency of A + B + C is (10 + 5 + 6) / 2 = 21/2

The efficiency of A is 21 / 2 - 5 = 11/2 units

The number of days A required is 60 × 2 / 11 = 120 /11 days

∴ The correct option is 3

Calculation:

The average production of flavour X in 2017 and 2018 is (20 + 20) / 2 = 20

The average production of flavour Y in 2019 and 2020 is (32 + 20) / 2 = 26

Difference is (26 - 20) × 1000 = 6000 packs

Calculation:

According to Raghav, his weight is more than 64 kg but less than 74 kg. 

i.e. 64 < Weight <74

His sister  thinks that his weight is more than 60 kg but less than 69 kg.

i.e. 60 < Weight < 69

His mother's view is that his weight cannot be more than 68 kg

i.e. Weight <= 68.

His father's view is that his weight cannot be more than 67 kg.

i.e. Weight <= 67.

So possible weights are 65, 66, 67

Only possible average is (65 + 66 +67) / 3 = 66kg

∴ The correct option is 1

Shortcut Trick

Using the direct relation between Cost Price (CP) and Marked Price (MP):

CP / MP = (100 − D%) / (100 + P%)

⇒ CP / 4200 = (100 − 5) / (100 + 14)

⇒ CP / 4200 = 95 / 114 = 5 / 6

⇒ CP = 4200 × 5 / 6 = 3500

∴ The correct answer is Rs. 3500.

Alternate Method

Given:

Marked Price (MP) = Rs. 4200

Discount (D%) = 5%

Profit (P%) = 14%

CP = ?SPMP = 4200+14% Profit-5% DiscCP / MP = (100 − D%) / (100 + P%)

Formula Used:

Selling Price (SP) = MP × (100 − D%) / 100

Cost Price (CP) = SP × 100 / (100 + P%)

Calculations:

⇒ SP = 4200 × (100 − 5) / 100

⇒ SP = 4200 × 95 / 100

⇒ SP = Rs. 3990

⇒ CP = 3990 × 100 / (100 + 14)

⇒ CP = 3990 × 100 / 114

⇒ CP = 35 × 100 = Rs. 3500

∴ The correct answer is Rs. 3500.

Additional Information

Marked Price (MP) & Discount

Discount is always calculated on the Marked Price. Formula: SP = MP × (100 − D%) ÷ 100

Profit & Loss

Profit and Loss are always calculated on the Cost Price (CP) unless stated otherwise. Formula: SP = CP × (100 + P%) ÷ 100

Successive Discounts

If two successive discounts of a% and b% are given, then the equivalent single discount is (a + b − ab ÷ 100)%.

Calculation:

We know that 

sec2 A - tan2 A = 1

So, tan2 A = sec2 A - 1

Among the given option, option 1 is incorrect.

Given:

in ΔXYZ, XY = 4 and XZ = 5 cm, and Q is a point on YZ such that XQ bisects ∠X

Calculation:

If in ΔXYZ,  Q is a point on YZ such that XQ bisects ∠X

Then,  XY : XZ = YQ : QZ = 4 : 5 

So, the ratio YQ : QZ is 4 : 5.

Shortcut Trick

Relative speed in same direction = (70 − 34) = 36 km/h.

Speed in m/s = 36 × (5/18) = 10 m/s.

Combined length of trains = Relative speed × Time = 10 m/s × 25 sec = 250 m.

∴ The correct answer is 250 m.

Alternate Method

Given:

Speed of the faster train (S₁) = 70 km/h

Speed of the slower train (S₂) = 34 km/h

Time taken to cross (t) = 25 seconds

Formula Used:

Total Distance (Combined Length) = Relative Speed × Time

Calculations:

⇒ Relative Speed = S₁ − S₂ (Same direction)

⇒ Relative Speed = 70 − 34 = 36 km/h

⇒ Speed in m/s = 36 × (5/18) = 10 m/s

⇒ Combined length = 10 × 25

⇒ Combined length = 250 m

∴ The correct answer is 250 m.

Additional Information

Relative Speed Concept

When two objects move in the same direction, relative speed = S₁ − S₂. When they move in opposite directions, relative speed = S₁ + S₂.

Unit Conversion

To convert speed from km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.

Train Crossing Total Distance

The distance covered when one train crosses another is always the sum of the lengths of both trains, regardless of direction.

Given:

In a constituency, 85% of the total number of people on the electoral roll cast their votes during an election.

10% of the votes cast were declared invalid.

If there were 3,00,000 people on the electoral roll, and Dharam secured 1,37,700 valid votes.

Calculation:

The number of casted votes

⇒ 300000 × 85/100 =2,55,000

Number of valid votes,

⇒ 2,55,000 × 90 /100 = 229500

Percentage of votes Dharam secured

⇒ (137700 / 229500) × 100 = 60%

∴ The correct option is 4

Concept used:

sin 90° = 1, cos 90° = 0

Calculation:

Putting θ = 90° , we get

12(sin4 θ  + cos4 θ) + 18(sin6 θ + cos6 θ) + 78 sin2 θ cos2 θ

⇒ 12(sin4 90°  + cos4 90°) + 18(sin6 90° + cos6 90°) + 78 sin2 90° cos2 90°

⇒ 12 × 1 + 18 × 1 = 30

∴ The correct option is 1

Given:

ΔPQR is an equilateral triangle inscribed in a circle.

S is any point on the arc QR.

Concept used:

Each of the angles of an equilateral triangle is equal and 60° 

The angles subtended by an arc in the same segment of a circle are equal.

Calculation:

Both ∠PRQ and ∠PSQ are in the subtended by the arc PQ in the same segment, so

∠PRQ = ∠PSQ = 60°

 ∴ The correct option is 2

Calculation:

Hitansh's marks in Science = 70% of 150 = 105

Total marks scored by Hitansh = 67 + 105 + 64 + 55 + 75 = 366

Total maximum marks in all subjects = 550

⇒ Percentage marks scored = (366/550) × 100 = 66.55%

∴ Hitansh's overall percentage in the examination is 66.55%

Mistake Points

In the table, the marks given are the percentage marks obtained by each student.

Except for Science, each subject carries maximum marks = 100

Thus, marks obtained and percentage marks are equal

e.g. Hitansh scored 67% marks in English

⇒ Marks scored by Hitansh in English = 100 × (67/100) = 67

For Science subject, the maximum marks are 150

Hitansh scored 70% marks in Science

⇒ Marks scored by Hitansh in Science = 150 × (70/100)

⇒ Marks scored by Hitansh in Science = 105

Given:

In a 1500 m race, X beats Y by 100 m and X beats Z by 240 

Calculation:

When x goes 1500 m , y goes 1500-100 = 1400 m

When x goes 1500 m , z goes 1500-240 = 1260 m

When y goes 1400 m , z goes 1260 m

When y goes 1500 m , z goes,

⇒ (1260/1400) × 1500m = 1350 m

 Y beat Z in the same race by the distance of 1500 - 1350 = 150 m

Mistake Points The race should be calculated as 1500m when calculating Y beat Z in the same race

∴ The correct option is 3

 Alternate Method

• When X finishes 1500 m, Y has run 1400 m.
• When X finishes 1500 m, Z has run 1260 m.

Now, we need to find the distance by which Y beats Z in the same race.

When Y finishes 1500 m, the ratio of the distances run by Y and Z is the same as when X finishes. This is because the ratio of their speeds remains constant.

So, the ratio of distances run by Y and Z when X finishes the race is:

Distance run by Y: Distance run by Z=1400:1260

We can simplify this ratio by dividing both terms by their greatest common divisor (GCD), which is 20:

1400:1260 ​ =70:63

This means when Y runs 70 units of distance, Z runs 63 units of distance.

When Y runs the entire 1500 m race, we can set up a proportion to find the distance Z runs:

63/70​=Distance run by Z/1500​

Cross-multiplying gives:

70×Distance run by Z = 63×1500

70×Distance run by Z = 94500

Distance run by Z = 94500/70​

Distance run by Z = 1350 m

So, when Y finishes the 1500 m race, Z has run 1350 m.

Therefore, Y beats Z by:

1500 m − 1350 m = 150 m

Calculation:

The cost of 120 m of cloth is Rs. 9,600

The cost price of 1 cloth is 9600 /120 = Rs 80

The cost price of 1 cloth is 147 × 80 = Rs 11760

∴ The correct option is 3

Given:

 $(x+\frac{1}{x})$ = 5 and x > 1

Calculation:

$(x+\frac{1}{x})$ = 5

So x² + 1/x² = 25 - 2

⇒ 23

Again,

 x - 1/x = √21

 x2 - 1/x2 =5√21

⇒ x⁴ + 1/x⁴ = 529 - 2

⇒ 527

x4 - 1/x4 =115√21

x⁸ - 1/x⁸ =( x4 + 1/x4 ) ×(x4 - 1/x4 )

⇒ 115√21 × 527 

= 60605√21

∴ The correct option is 1

Given:

A sum of Rs. 9,500 amount to Rs. 11,780 at the rate of 8% per annum at simple interest

Formula used:

Simple interest = P × R × T / 100 [ P = principal, R = rate of interest, T = time]

Calculation:

Let, Time  = T

Simple interest is  (11780 - 9500) = 2280

As per the question,

⇒2280 = 9500 × 8 × T / 100

⇒ T = 3 years

Given:

By selling a watch for Rs. 2,000, a shopkeeper loses 20%

Concept used:

Profit is calculated on cost price.

Calculation:

The cost price is 2000 × 100/80 = Rs 2500

By selling it for 3000

Profit is 3000 - 2500 = Rs 500

Profit percentage is (500/2500) × 100 = 20%

∴ The correct option is 1

The correct answer is 'B'.

 

Key Points

• Segment A, "Aniket lives," is grammatically correct. It has a proper subject-verb agreement.
• Segment B, "in the small apartment," contains a minor article usage error. The correct usage should be "in a small apartment" since a specific apartment is not being referred to previously within a given context. We generally use 'the' when we are referring to specific things or instances that both the speaker and listener are aware of.
• Segment C, "in the suburbs," is grammatically correct as the usage of "in" is appropriate for indicating location.
• Therefore, the segment containing the error is B.

Hence, the correct answer is 'Option 3'.

Therefore, the correct sentence should be: 'Aniket lives in a small apartment in the suburbs'.

The correct answer is: Useful

Key Points

• The word 'utilitarian' means practical or useful. (व्यावहारिक या उपयोगी)
• Synonyms for 'utilitarian' include functional, pragmatic, and efficient.
• For example: The utilitarian design of the building prioritizes function over aesthetics.
• So, in this context 'useful' is the most appropriate synonym for the highlighted word.

Therefore, the correct answer is option 3.

Additional Information

• Thrust means a forceful push or a main theme. (एक जोरदार धक्का या मुख्य विषय)
• Fanciful means imaginative or unrealistic. (कल्पनाशील या अवास्तविक)
• Distasteful means unpleasant or offensive. (अप्रिय या आपत्तिजनक)

The correct answer is: The gate was opened by Mr.Akhil. 

Key Points

• In passive voice, the object (the gate) becomes the subject of the sentence and the subject (Mr. Akhil) becomes the object.
• The verb "opened" is changed to its past participle form "was opened".
• The phrase "by Mr. Akhil" is added to indicate who performed the action.

Therefore, the correct answer is option 1.

Additional Information

• "Mr. Akhil open the gate" is incorrect because it is in active voice and the verb tense is incorrect.
• "The gate been open by Mr. Akhil" is incorrect because the verb tense is incorrect and the word "been" is unnecessary.
• "The gate opened by Mr. Akhil" is grammatically correct but it is missing the auxiliary verb "was" to indicate passive voice.

The incorrectly spelt word is: Aristocrate

Key Points

• The correct spelling of the word is "aristocrat".
• The incorrect spelling has an extra "e" at the end.
• "Aristocrat" refers to a member of a ruling class or nobility, while "aristocracy" refers to a government or society ruled by such a class. (शासक वर्ग या कुलीन वर्ग का सदस्य)
• For example: The elegant ball was attended by many aristocrats from high society.
• Other options in the question are correctly spelt words.

Therefore, the correct answer is option 1.

Additional Information

• Advertise means to promote or publicize a product or service. (किसी उत्पाद या सेवा का प्रचार या प्रचार करना)
• Occurrence means an event or incident. (कोई घटना या प्रसंग)
• Preference means a choice or liking for one thing over another. (एक चीज़ को दूसरी चीज़ से ज़्यादा पसंद करना या पसंद करना)

The correct answer is: "you since last year"

Key Points

• "Since" is used to indicate a point in time that marks the beginning of a period of time that continues until the present
• "For" is used to indicate the duration of time that has passed
• Therefore, "you since last year" is the correct option as it indicates that the speaker has not seen the person since last year, which is a point in time that marks the beginning of the period of time until the present.

Hence, option 1 is the correct answer.

Corrected sentence: I have not seen you since last year. 

Additional Information

• "me for last year" is grammatically incorrect as it does not make sense in the context of the sentence.
• "you about last year" is incorrect as it does not convey the same meaning as the original sentence.
• "you for last years" is incorrect as it uses the plural form of "year" which is not appropriate in this context.

The incorrectly spelt word is: Wierd

Key Points

• The correct spelling is "weird" with the letter "i" after "e".
• Weird means something that is strange, unusual, or out of the ordinary. (कुछ ऐसा जो अजीब, असामान्य या सामान्य से हटकर हो)
• For example: Her choice of clothing was quite weird, featuring mismatched patterns and colours.
• This sentence discusses the incorrectness of overreacting to consequences that don't matter in the end.

Therefore, the correct answer is option 3.

Additional Information

• 'Matter' is spelt correctly and is used correctly in the sentence. (मामला)
• 'Overreact' is spelt correctly and is used correctly in the sentence. (अत्यधिक प्रतिक्रिया)
• 'Consequences' is spelt correctly and is used correctly in the sentence. (नतीजे)

The correct answer is: I'm not wearing

Key Points

• The sentence is in the present tense, indicating a current action.
• The use of "don't" indicates a negative present action.
• The contraction "I'm" is a common way to say "I am" in spoken English.
• However, to convey the same idea in a more natural and specific way, it's better to use the present continuous tense "am not wearing" because it emphasizes the ongoing action.
• "Currently" is used to indicate the time frame in which the action is happening, which is in line with the original phrase "at the moment."

Therefore, the correct answer is option 4.

Additional Information

• "I didn't wear" is in the past tense and does not accurately reflect the current action.
• "I wore" is also in the past tense and does not accurately reflect the current action.
• "I was wearing" is in the past continuous tense and implies that the action was interrupted or ended.

The correct answer is: Cartographer

Key Points

• A cartographer is a person who draws or produces maps. (मानचित्रकार वह व्यक्ति होता है जो मानचित्र बनाता या बनाता है)
• For example: The cartographer created detailed maps of uncharted lands.
• The word is derived from the Greek word "chartes" meaning map and "graphein" meaning to write.

Therefore, the correct answer is option 4.

Additional Information

• Calligrapher: A person who practices the art of beautiful handwriting. (एक व्यक्ति जो सुंदर लिखावट की कला का अभ्यास करता है)
• Choreographer: A person who creates and arranges dances for stage performances. (एक व्यक्ति जो मंच प्रदर्शन के लिए नृत्य बनाता और व्यवस्थित करता है)
• Chauffeur: A person employed to drive a private or hired car for someone else. (एक व्यक्ति जो किसी अन्य के लिए निजी या किराए की कार चलाने के लिए नियोजित है)

The correct answer is: "house were dashed when"

Key Points

• "Beaten" here means "defeated" or "crushed".
• "Dashed" means "ruined" or "destroyed".
• The sentence means that the woman's hopes of building her own house were ruined when she lost her jewellery box.

Therefore, the correct answer is option 4.

Additional Information

• "house were defeated when" is similar in meaning to option 4 but doesn't fit the sentence structure as well.
• "house were frustrated when" doesn't convey the same level of finality as the original sentence.
• "house were relieved when" is the opposite of what the sentence is saying.

The correct answer is: undeniable

Key Points

• Synonym of "inevitable" is "undeniable".
• "Undeniable" means something that cannot be denied or disputed. (कुछ ऐसा जिसे नकारा या विवादित नहीं किया जा सकता)
• For example: The evidence presented was undeniable, proving his innocence.
• The sentence suggests that climate change is a global challenge that cannot be disputed.
• Grammatically, "undeniable" is an adjective that modifies the noun "global challenge".

Therefore, the correct answer is option 2.

Additional Information

• Immemorable means something that cannot be remembered. It is not a synonym of the underlined word. (कुछ ऐसा जो याद न रखा जा सके)
• Adventurous means something that involves risk or excitement. It is not a synonym of the underlined word. (कुछ ऐसा जिसमें जोखिम या उत्तेजना शामिल हो)
• Escapable means something that can be avoided or evaded. It is the opposite of the underlined word. (कुछ ऐसा जिसे टाला जा सकता है)

The correct answer is: Fastidious

Key Points

• Fastidious means being very careful and attentive to details. (विवरणों के प्रति बहुत सावधान और चौकस रहना)
• For example: She was known for her fastidious attention to detail in her artwork.
• It is often used to describe someone who is very particular about cleanliness or orderliness.
• The word can also be used to describe a person who is hard to please or who has high standards.
• The word is derived from the Latin word "fastidiosus," which means "disgusted" or "disdainful."

Therefore, the correct answer is option 1.

Additional Information

• Squeamish means easily nauseated or disgusted and is not a suitable substitute for the given group of words. (आसानी से मतली या घृणा होना)
• Stubborn means refusing to change one's opinion or course of action, and is not a suitable substitute for the given group of words. (किसी की राय या कार्रवाई के तरीके को बदलने से इनकार करना)
• Impregnable means unable to be captured or broken into and is not a suitable substitute for the given group of words. (पकड़ने या तोड़ने में असमर्थ)

The correct answer is: In good times and in bad times

Key Points

• The idiom "through thick and thin" means to support someone or something consistently, even during difficult times.
• For example: She supported her best friend through thick and thin, always being there in times of difficulty and happiness.
• The phrase is often used to describe a strong and enduring friendship or relationship.
• The word "thick" refers to dense or difficult situations, while "thin" refers to times of scarcity or hardship.
• The phrase can also be used to describe someone's loyalty or commitment.

Therefore, the correct answer is option 3.

Additional Information

• "Only assist during good times" is incorrect because the idiom implies support during both good and bad times.
• "Hope during trying times" is not the best fit for the idiom, as it does not capture the idea of consistent support.
• "Weak and lonely"  is not related to the meaning of the idiom.

The correct answer is: Elaborate

Key Points

• Elaborate means to explain in detail, which is the same as the underlined word in the sentence. (विस्तार से समझाने के लिए)
• The word is often used in academic or professional contexts.
• For example: The professor asked the students to elaborate on their research findings.

Therefore, the correct answer is option 1.

Additional Information

• Trouble means to cause difficulty or distress, which is not the same as explaining in detail. (कठिनाई या कष्ट उत्पन्न करना)
• Collect means to gather or accumulate, which is not related to explaining in detail. (इकट्ठा करना या संचय करना)
• Keen means eager or enthusiastic, which is not the same as explaining in detail. (उत्सुक या उत्साही)

The correct order is: CBDA

Key Points

• Sentence C introduces the topic of the paragraph, the impact of court orders on people's livelihoods in environmental issues.
• Sentence B provides an example of such court orders, where industries in residential areas were directed to close down or shift out of the city.
• Sentence D explains the reason behind the court's decision, these industries were polluting the neighbourhood and the Yamuna River.
• Sentence A concludes the paragraph by highlighting the unintended consequences of the court's action, many workers lost their jobs due to the closure of these industries.

Hence, option 1 is the correct answer.

Additional Information

• BDCA: The first sentence should introduce the topic, which is missing in this option.
• CDAB: The last sentence should conclude the paragraph, which is missing in this option.
• BCAD: The reason behind the court's decision (sentence D) should come before the unintended consequences (sentence A).

The correct answer is: Outcome

Key Points

• Consequence means the result or effect of an action. (किसी क्रिया का परिणाम या प्रभाव)
• For example: The consequence of his actions was a loss of trust among his friends.
• Outcome means the result of an activity or process. (किसी गतिविधि या प्रक्रिया का परिणाम)
• For example: The hard work and preparation resulted in a positive outcome for the team.
• Both words have similar meanings and can be used interchangeably in most cases.

Hence, option 1 is the correct answer.

Additional Information

• Origin means the point or place where something begins, arises, or is derived. (वह बिंदु या स्थान जहां कोई चीज़ शुरू होती है, उत्पन्न होती है या उत्पन्न होती है)
• Start means the beginning of something. (किसी चीज़ की शुरुआत)
• Begin means to start doing something. (कुछ करना शुरू करना)