SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3) (Previous Year Paper)

The logic followed here is : Multiplied by 2.

So, the series here is :-

111 × 2 = 222

222 × 2 = 444

444 × 2 = 888

888 × 2 = 1776

1776 × 2 = 3552

Hence, "888" is the correct answer.

​​

Logic :

1. Difference of the position values of the last first and second letters according to English alphabetic series is (5).
2. Difference of the position values of the last first and second letters according to English alphabetic series is (4).
3. Difference of the position values of the last first and second letters according to English alphabetic series is (2).

So,

• IDAY

​​

• SNJH

​

• QLHF

​

• VQMK

Here, Only 'IDAY' the difference of the position values of second and third letters is (3).

Hence, "IDAY" is the correct answer.

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

1. + and –
2. 2 and 4

​So,

• Option - (1) : 9 – 5 ÷ 4 × 2 + 8 = 80

​9 + 5 ÷ 2 × 4 - 8 = 80

9 + 2.5 × 4 - 8 = 80

9 + 10 - 8 = 80

19 - 8 = 80

11 ≠ 80 (LHS ≠ RHS)

• Option - (2) : 7 × 4 – 2 ÷ 1 + 5 = 13

7 × 2 + 4 ÷ 1 - 5 = 13

7 × 2 + 4 - 5 = 13

14 + 4 - 5 = 13

18 - 5 = 13

13 = 13 (LHS = RHS)

• Option - (3) : 7 – 8 ÷ 2 + 16 × 4 = 18

​7 + 8 ÷ 4 - 16 × 2 = 18

7 + 2 - 16 × 2 = 18 

7 + 2 - 32 = 18

14 - 32 = 18

-18 ≠ 18 (LHS ≠ RHS)

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

​5 - 7 × 2 + 8 ÷ 4 = 5

5 - 7 × 2 + 2 = 5

5 + 2 - 14 = 5

7 - 14 = 5

-7 ≠ 5 (LHS ≠ RHS)

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

Given :

Statement given : E ÷ F × J + L = M

So,

• E ÷ F → E is the wife of F.

​

• F × J → F is the brother of J.

​

• J + L → J is the daughter of L.

​

• L = M → L is the father of M.

​

Thus, according to the final family tree L is the father-in-law of E.

Hence, "Father-in-law" is the correct answer.

The logic followed here is : Cube of 1st number = 2nd number + (1st number × 2)

So,

• 8 : 496

​$(8)^3$ = 496 + (8 × 2)

512 = 496 + 16

512 = 512 (LHS = RHS)

​And,

• 9 : 711

​​$(9)^3$ = 711 + (9 ×  2)

729 = 711 + 18

729 = 729 (LHS = RHS)

​Similarly,

• ? : 204​

​​$(x)^3$ = 204 + ($x$ ×  2)

$(x)^3$ = 204 + 2$x$

Now, using option elimination method on the RHS to find '$x$' :

1. Option - (1) : 5 ⇒ [204 + (2 × 5)] = 214 → Not a cube of any number
2. Option - (2) : 13 ⇒ [204 + (2 × 13)] = 230 → Not a cube of any number
3. Option - (3) : 6 ⇒ [204 + (2 × 6)] = 216 → Cube of 6
4. Option - (4) : 5 ⇒ [204 + (2 × 11)] = 206 → Not a cube of any number

Thus, $x$ = 6

Hence, "6" is the correct answer.

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

Given :

• (25, 9, 56)

$(9)^2$ = 25 + 56

81 = 81 (LHS = RHS)

• (13, 14, 183)

​$(14)^2$ = 13 + 183

196 = 196 (LHS = RHS)

So,

• Option - (1) : (42, 12, 228)

​$(12)^2$ = 42 + 228

144 ≠ 270 (LHS ≠ RHS)

• Option - (2) : (11, 16, 135)​

​$(16)^2$ = 11 + 135

256 ≠ 146 (LHS ≠ RHS)

• Option - (3) : (19, 23, 511)​

​$(23)^2$ = 19 + 511

529 ≠ 530 (LHS ≠ RHS)

• Option - (4) : (27, 15, 198)​

​$(15)^2$ = 27 + 198

225 = 225 (LHS = RHS)

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

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

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

Given equation : 17 * 11 * 42 * 2 * 7 = 18

According to the question, replacing the signs * :

So,

• Option - (1) : - + ÷ ÷

​17 - 11 + 42 ÷ 2 ÷ 7 = 18

17 - 11 + 21 ÷ 7 = 18

17 + 3 - 11 = 18

20 - 11 = 18

9 ≠ 18 (LHS ≠ RHS)

• Option - (2) : - + × ÷

17 - 11 + 42 × 2 ÷ 7 = 18

17 - 11 + 42 × 0.28 = 18

17 + 12 - 11 = 18

29 - 11 = 18

18 = 18 (LHS = RHS)

• Option - (3) : - + × ×

17 - 11 + 42 × 2 × 7 = 18

17 + 588 - 11 = 18

605 - 11 = 18

594 ≠ 18 (LHS ≠ RHS)

• Option - (4) : + - + ×

17 + 11 - 42 + 2 × 7 = 18

17 + 11 + 14 - 42 = 18

42 - 42 = 18

0 ≠ 18 (LHS ≠ RHS)

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

The logic followed here is : Cube of 1st number = 2nd number

So,

• Option - (1) : 3 – 44

​$(3)^3$ = 44

27 ≠ 44 (LHS ≠ RHS)

• Option - (2) : 4 – 64

​$(4)^3$ = 64

64 = 64 (LHS = RHS)

• Option - (3) : 5 – 125

​$(5)^3$ = 125

125 = 125 (LHS = RHS)

• Option - (4) : 6 – 216

​$(6)^3$ = 216

216 = 216 (LHS = RHS)

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

According to the question, after interchanging the given two signs '  and –' :

So,

• Option - (1) : 18 ÷ 3 + 8 × 5 – 4 = 30

18 ÷ 3 - 8 × 5 + 4 = 30

6 - 8 × 5 + 4 = 30

6 + 4 - 40 = 30

10 - 40 = 30

-30 ≠ 30 (LHS ≠ RHS)

• Option - (2) : 4 × 6 + 7 – 3 ÷ 1 = 20

4 × 6 - 7 + 3 ÷ 1 = 20

4 × 6 - 7 + 3 = 20

24 + 3 - 7 = 20

27 - 7 = 20

20 = 20 (LHS = RHS)

• Option - (3) : 18 + 8 × 6 ÷ 3 – 11 = 13

18 - 8 × 6 ÷ 3 + 11 = 13

18 - 8 × 2 + 11 = 13

18 + 11 - 16 = 13

29 - 16 = 13

13 = 13 (LHS = RHS)

• Option - (4) : 6 × 9 + 7 – 8 ÷ 2 = 51

6 × 9 - 7 + 8 ÷ 2 = 51

6 × 9 - 7 + 4 = 51

54 + 4 - 7 = 51

58 - 7 = 51

51 = 51 (LHS = RHS)

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

Logic : 

1. First letter → (3) is added to the position value according to English alphabetic series.
2. Second letter → (2) is subtracted to the position value according to English alphabetic series.
3. Third letter → (1) is added to the position value according to English alphabetic series.
4. Fourth letter → (1) is subtracted from the position value according to English alphabetic series.

So,

Hence, "LTQJ" is the correct answer.

Given :

So,

• Option - (1) : P + Q ÷ R → P is the brother of Q who is the father of R.

​

Here, P is the paternal uncle of R.

• Option - (2) : P + Q × R → P is the brother of Q who is the sister of R.​

Here, P is the brother of R.

• Option - (3) : P × Q + R → P is the sister of Q who is the brother of R.

​

Here, P is the sister of R.

• Option - (4) : P + R × Q → P is the sister of R who is the sister of Q.​

Here, P is the brother of R.

Hence, "Option - (2)" 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 "FDcAL5" the fifth letter is "L". So, the mirror image should be "

" ⇒ Option 1 is eliminated.

• The word "FDcAL5" the first letter is "F". So, the mirror image should be "

" ⇒ Option 2 is eliminated..

• The word "FDcAL5" the third letter is "c". So, the mirror image should be "

" ⇒ Option 3 is eliminated.

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

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

Conclusions:

I. Some rabbits are black → Does not follow (As all rabbits are dogs and some dogs are black. So, it is possible but not definitely true)

II. Some dogs are bears → Follow (As all bears are rabbits and all rabbits are dogs. So, as whole bears comes in dogs therefore it is definitely true)

III. All bears are dogs → Follow (As all bears are rabbits and all rabbits are dogs. So, as whole bears comes in dogs therefore it is definitely true)

∴ Here, Only conclusions II and III follow.

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

The logic followed here is :

• Cloth is kept in a closet.

Similarly,

• Gun is kept in armoury.

Hence, "Armoury" is the correct answer.

Additional Information

1. Armoury → A place where weapons are kept like machine guns, rifles, pistols etc.
2. Almirah → It is a free standing cupboard or wardrobe.
3. Bullet → It is a small metal object that is shot from a gun.
4. Chest → It is a large strong box, typically made of wood and is used for storage or transport.

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

Given :

• (30, 93, 1)

(30 + 1) × 3 = 93

31 × 3 = 93

93 = 93 (LHS = RHS)

• (42, 132, 2)​

(42 + 2) × 3 = 132

44 × 3 = 132

132 = 132 (LHS = RHS)

So,

• Option - (1) : (4, 60, 5)​

(4 + 5) × 3 = 60

9 × 3 = 60

27 ≠ 60 (LHS ≠ RHS)

• Option - (2) : (5, 31, 29) ​

(5 + 29) × 3 = 31

34 × 3 = 31

102 ≠ 31 (LHS ≠ RHS)

• Option - (3) : (14, 20, 25)​

(14 + 25) × 3 = 20

39 × 3 = 20

117 ≠ 20 (LHS ≠ RHS)

• Option - (4) : (3, 30, 7) ​

(3 + 7) × 3 = 30

10 × 3 = 30

30 = 30 (LHS = RHS)

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

The logic followed here is : Species : Habitat

• Sparrows : Tree

⇒ Habitat of sparrows is trees. 

So,

• Option - (1) : Cow : Beach → Incorrect

​⇒ Habitat of cow is grassland.

• Option - (2) : Fish : Water → Correct

​⇒ Fish has aquatic habitat.

• Option - (3) : Owl : Night → Incorrect

​⇒ Owl lives in a variety of habitats, including coniferous forest, mountains, deserts and plains.

• Option - (4) : Rabbit : Sand → Incorrect

​⇒ Rabbit habitat includes meadows, woods, forest, grasslands, deserts and wetland. 

Hence, "Fish : Water" is the correct answer.

Logic : 

1. First letter → (6) is subtracted from the position value according to English alphabetic series.
2. Second letter → (3) is subtracted from the position value according to English alphabetic series.
3. Third letter → (1) is added to the position value according to English alphabetic series.

​So,

Hence, "CQG" is the correct answer.

Logic : 

Opposite Letter - 5

So,

'GHOST’ is written as 'ONGCB'

• G = T (opposite) - 5 = O
• H = S - 5 = N
• O = L - 5 = G
• S = H - 5 = C
• T = G - 5 = B

​And,

'ABIDE' is written as 'UTMRQ'

• A = Z (opposite) - 5 = U
• B = Y - 5 = T
• I =  R- 5 = M
• D = W - 5 = R
• E = V - 5 = Q

​Similarly, 

**​'RULES' is written as :**​

• R = I (opposite) - 5 = D
• U = F - 5 = A
• L =  O- 5 = J
• E = V - 5 = Q
• S = H - 5 = C

Hence, "DAJQC" is the correct answer.

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

1. For '

' element : Shifting in the backward direction.

2. For '

' element : Shifting in the backward direction.

3) For '

​' element : Shifting in the backward direction.

Final series is :

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

The logic followed here is :-

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

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

Opposite pairs:

1 → 3

5 → 6

2 → 4

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

Hence, the correct answer is "1".

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 : Rotating at the same position in the anti-clockwise direction.

​

3. For letter element : Shifting in the anti-clockwise direction and replaced with immediate next letter according to English alphabetic series subsequently starting with 'A'.

Final series is :

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

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

Conclusions:

I. All A are L → Does not follow (As some A are R and some L are R. So, as there is no direct relation between A and L therefore it is definitely false)

II. All R are L → Does not follow (As some L are R. So, it is possible but not definitely true)

∴ Here, Neither conclusion follows.

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

Logic : ​Alternately (1) and (2) is added to the position value according to the English alphabetic series diagonally.

​So,

• 'EARLY’ is written as 'ZNSCF'

​

​And,

• 'GAUGE' is written as 'FIVCH'

​

​Similarly,

• 'INBOX' is written as :

​

Hence, "YQCPJ" is the correct answer.

According to the sequence in the dictionary:

3. Sick
4. Sicken
5. Sickle
6. Sickly
7. Sickness

Hence, the correct option is "Sickle".

The correct answer is Dr. Kanak Rele.

Key Points

• Dr. Kanak Rele is a well-known Mohiniyattom practitioner.
• She is also a dancer, choreographer, and scholar from India.
• She founded and currently leads the Nalanda Dance Research Center.
• She founded and serves as the principal of Mumbai's Nalanda Nritya Kala Mahavidyalaya.
• Mohiniyattam:
• Mohiniyattam is an Indian classical dance form.
• It was developed in the Keralan state.
• The word "Mohini" refers to a historical enchantress and incarnation of the Hindu god Vishnu who, by harnessing her feminine abilities, aids the good over the bad and gives rise to the Mohiniyattam dance.
• It adheres to the delicate, erotically charged, and feminine Lasya form of dance that is described in the Natya Shastra.
• Women typically execute it solo after receiving rigorous training.​

Additional Information

• Madhavi Mudgal:
• Indian classical dancer Madhavi Mudgal is renowned for her Odissi dance form.
• Shagun Butani:
• Shagun Bhutani, an Odissi dancer, performs Indian classical dance.
• Mohanrao Kallianpurkar:
• One of the best academics and teachers of the Kathak dance style was the Karnataka-born Mohanrao Shankarrao Kallianpurkar.
• He was also a professional Kathak dancer.
• He belongs to Jaipur school of Kathak.

The correct answer is 68.

Key Points

• Mendeleev's periodic table
• Mendeleev published the periodic table in 1869 but not all the elements were discovered by that time, so he left some spaces under Aluminium and Silicon.
• He examined the relationship between atomic masses and the physical and chemical properties of elements.
• While preparing the periodic table there were a few instances where he had to place elements with a slightly greater atomic mass before an element with a slightly lower atomic mass as he wanted to place elements with similar chemical properties together.
• Periodic law states that "properties of elements are periodic function of their atomic masses.​

Additional Information

• By his time only 63 elements were discovered.
• Mendeleev boldly predicted the existence of certain elements that had not been discovered at that time.
• He named them eka-boron, eka-aluminium, and eka-silicon as they have properties similar to that of Boron, Aluminium and Silicon.
• Later on, these names were replaced as follows:
• Eka-boron =Scandium
• Eka-aluminum = gallium
• Eka- silicon = Germanium
• Further, it was observed that the predicted atomic weights of eka-boron (scandium), eka-aluminium (gallium), and eka-silicon (germanium) are 44, 68, 72, and those of calculated weights are 43.8, 70, and 72.6 respectively.
• Eka is a Sanskrit word meaning one.

The correct answer is Glycocalyx.

Key Points

• Glycocalyx:
• It is a surface layer that covers the cell membrane of many bacteria, epithelial cells or other cells.
• It is made up of proteoglycans, glycoproteins and glycolipids.
• Glycocalyx is a viscous polysaccharide or polypeptide slime that covers microbes.
• It enhances adherence to surfaces. resists phagocytic engulfment by the white blood cells.
• It prevents antibiotics from contacting the microbe.
• Functions:
• ​It protects the cell from dehydration (capsule).
• It protects the bacterial cell from engulfment and destruction by the immune system's white blood cells (capsule).
• Glycocalyx gives the bacterial cell a sticky character which enables it to attach to surfaces.
• Glycocalyx also helps the bacterial cells to adhere to each other. This forms a bacterial aggregate that can't be engulfed by the immune cells.

Additional Information

• The bacterial cell wall is made up of peptidoglycans (also known as murein), diaminopimelic acid, and teichoic acid.
• All three molecules are unique to prokaryotes and not found in eukaryotes.

The correct answer is Kathakali.

Key Points

• Kathakali is a classical Indian dance form that is a story-play genre of art and is the folk dance form of Kerala.
• It is a combination of 5 forms of fine art which are –
• Natyam (expressions)
• Nritham (dance)
• Nrithyam (enactment)
• Sangeetam (music)
• Vadya (instruments)
• Various costumes of characters of Kathakali –
• Sathwika (Hero)
• Katti (Villain)
• Minukku (females)
• Thathi (other characters)​

Additional Information

The Sangeet Natak Akademi recognizes eight classical dances in India.

The correct answer is 50th.

Key Points

• Justice DY Chandrachud
• Justice DY Chandrachud to Take Oath As New Chief Justice of IndiaSenior-most Supreme Court judge and Chief Justice of India-designate Dhananjaya Y Chandrachud is all set to become the 50th head of the Indian judiciary when President Draupadi Murmu would administer the oath of office to him at Rashtrapati Bhawan.
• Justice Chandrachud, born on November 11, 1959, was elevated to the top court on May 13, 2016.
• He has been part of several Constitution benches and landmark verdicts of the top court including on matters relating to the Ayodhya land dispute, the right to privacy and adultery.
• Justice Chandrachud was also part of the benches which delivered path-breaking judgements on decriminalising same-sex relations after it partially struck down Section 377 of the IPC, the validity of the Aadhaar scheme and the Sabarimala issue.
• Supreme Court judges retire at the age of 65.
• Justice Chandrachud is the second most senior judge of the Supreme Court.

The correct answer is Part IV-A.

Key Points

• The Fundamental Duties are defined as the moral obligations of all citizens to help promote a spirit of patriotism and to uphold the unity of India.
• These duties set out in Part IV–A of the Constitution, concern individuals and the nation.
• The 11 fundamental duties are -
• Abide by the Constitution and respect the national flag & National Anthem
• Follow the ideals of the freedom struggle
• Protect the sovereignty & integrity of India
• Defend the country and render national services when called upon
• Spirit of common brotherhood
• Preserve composite culture
• Preserve natural environment
• Develop scientific temper
• Safeguard public property
• Strive for excellence
• Duty for all parents/guardians to send their children in the age group of 6-14 years to school.

Additional Information

• Part X of the Indian Constitution entails the provisions related to Scheduled and Tribal Areas with Articles 244 – 244 A.
• Part XII of the Indian constitution deals with finance, property, contracts and suits. It covers articles 264-300A.
• Part IX-B
• ​The Constitution (97th Amendment) Act, 2011 inserted Part IX-B in the Indian constitution.
• It deals with Co-operative Societies.

The correct answer is 1227.

Key Points

• Genghis Khan, original name Temüjin, (born 1162, near Lake Baikal, Mongolia—died August 18, 1227), was a Mongolian warrior-ruler, one of the most famous conquerors of history, who consolidated tribes into a unified Mongolia.
• Genghis Khan died in 1227, having spent most of his life in military combat.
• His military achievements were astounding and they were largely a result of his ability to innovate and transform different aspects of steppe combat into extremely effective military strategies.
• Between 18 to Aug. 25, 1227, during Genghis Khan's last campaign against the Western Xia, he felt unwell with a fever that ultimately killed him within eight days after the disease's onset.

The correct answer is 18.

Key Points

• Concept:
• The distribution of electrons into different orbits of an atom was suggested by Bohr and Bury.
• The orbits or shells are represented by the letters K, L, M, N,… or the numbers, n = 1, 2, 3, 4.
• The following rules are followed for writing the number of electrons in different energy levels or shells:
• The maximum number of electrons present in a shell is given by the formula 2n2, where ‘n’ is the orbit number or energy level index.
• Calculation:
• Given:
• Shell given = M, orbit number = 3.
• The maximum number of electrons present in a shell is given by the formula 2n2.
• Therefore, 2 × 32 = 18

The correct answer is seventh.

Key Points

• The holy Quran's teachings were originally introduced to India in the seventh century by traders and emigrants.
• Muslims embrace the oneness of God, Allah, and view the Quran as their holy scripture.
• All those who believe in Allah are welcomed by his love, mercy, and bounty regardless of their social background.
• The collaborators, who had preserved or documented portions of the prophet's words, put the Quran together shortly after the prophet's death.

Additional Information

• When using the Julian calendar in BC, the seventh century corresponds to the years 601 to 700.
• The unification of Arabia by the Prophet Muhammad beginning in 622 marked the beginning of the spread of Islam and the victories of the Muslims.
• The Sasanian Realm was defeated as a result of the Muslim conquest of Persia in the seventh century.
• Syria, Palestine, Armenia, Egypt, and North Africa were all also defeated in the seventh century.
• In the seventh century, traders and nomads introduced the Sacred Quran to India.

The correct answer is Element 101.

Key Points

• Dmitri Ivanovich Mendeleev was a Russian chemist and inventor.
• He is best remembered for formulating the Periodic Law and creating a farsighted version of the periodic table of elements.
• He wrote the famous book "The Principles of Chemistry".
• Element 101 is named Mendelevium in his honour.

Additional Information 

The correct answer is Pacific.

Key Points

• The Trans-Siberian railway runs from Vladivostok on the Pacific coast to St. Petersburg in western Russia.
• The Trans-Siberian proper runs the length and breadth of Russia, connecting Moscow with Vladivostok and the Pacific Ocean via Perm, Yekaterinburg, Omsk, Novosibirsk, Irkutsk, Ulan Ude, Chita, and Khabarovsk.
• The total length of the Trans-Siberian railroad is 9258 kilometres.
• It travels through 30 cities in places like Siberia and the Russian Far East, crossing 7 time zones in the process.

The correct answer is Wheat.

Key Points

• In 1978–1979, the Green Revolution led to a record grain output of 131 million tonnes.
• India was now recognized as one of the top agricultural producers in the world.
• Between 1947 and 1979, the yield per unit of agricultural land increased by more than 30%.
• During the Green Revolution, there was a significant increase in the crop area planted with high yielding wheat and rice types.
• Through the construction of linked facilities like factories and hydroelectric power plants, the Green Revolution also generated a large number of jobs for industrial workers in addition to agricultural laborers.

Additional Information

• Sugarcane:
• A tall, perennial grass species known as sugarcane or sugar cane is used to make sugar.
• Pulses:
• Pulses are annual plants that produce one to twelve grains or seeds per plant.
• Only crops that are only harvested as dry grains are referred to as "pulses."
• Oilseeds:
• Oilseeds are seeds that are produced mainly for the purpose of making edible oils.
• Both peanuts and soybeans fall under the category of oilseeds in a broader sense.​

The correct answer is Pushkar Singh Dhami.

Key Points

• BJP MLA Pushkar Singh Dhami was sworn in as the new Chief Minister of Uttarakhand on 3 July 2021.
• Dhami has volunteered at Rashtriya Swayamseva Sangh (RSS) and was a member of the Akhil Bharatiya Vidyarthi Parishad (ABVP) for 10 years.
• He was also the state President of Bharatiya Yuva Morcha (BJYM) from 2002-2008.​

Additional Information

• Uttarakhand:
• Capital: Dehradun
• CM: Pushkar Singh Dhami
• Governor: Gurmit Singh
• Famous National Park: Jim Corbett National Park,  Rajaji National Park
• Famous Wildlife Sanctuary: Binsar Wildlife Sanctuary, Benog Wildlife Sanctuary
• Lok Sabha seats - 5.
• Rajya Sabha seats - 3.
• State Animal - Alpine musk deer.
• State Bird - Himalayan monal.

The correct answer is Both I and II.

Key Points

• Adolescents need more nutrients than adults because they gain at least 40 per cent of their adult weight and 15 per cent of their adult height during this period.
• Inadequate intake can lead to delayed sexual development and slower linear growth.
• Hence Statement 1 is correct.
• Adolescents are generally grouped in the age group of 10 to 19 years. 
• Hence Statement 2 is correct.

Additional Information

• Adolescence is characterized by rapid physical, social, mental, and emotional changes.
• It is also a time of opportunity and risk. In the view of Stanley Hall (the father of adolescent psychology), it’s a time of “storm and stress.”
• Adolescence is a period of rapid growth when young people acquire new abilities and face new challenges, in this stage children are in conflict with their parents, are moody, and tend to spend more time with their peers.
• It is the transitional stage of childhood and adulthood when a child develops physically and psychologically into an adult.
• Adolescents fail to think clearly, creating great frustration and stress in their lives.
• It is also known as the problem age because rapid physical growth leaves teenagers feeling awkward, self-conscious, uncoordinated, embarrassed, and even confused.

The correct answer is Article 50.

Key Points

• Part IV of the Indian Constitution from Articles 36 to 51 mentions the Directive Principles of State Policy (DPSPs).
• Article 50 gives the principle of separation of the Judiciary from the executive.​

Additional Information

The correct answer is Poor conductor.

Key Points

• A poor conductor call a component of identical size that offers higher resistance to electricity
• A material with high resistivity which means it has got high resistance and will resist the flow of electrons is called insulating material.

Additional Information

• Resistivity is the resistance per unit length and cross-sectional area.
• It is the property of the material that opposes the flow of charge or the flow of electric current.
• The unit of resistivity is an ohm meter.
• A material with very low resistivity means it has very low resistance and thus the electrons will flow smoothly through the material called conducting material.

Important Points

• Electrical resistivity of some substances at 20°C.

The correct answer is January.

Key Points

• The 2022 Australian Open was a Grand Slam tennis tournament that took place at Melbourne Park, Australia from 17 to 30 January 2022.
• Australian tennis player Ashleigh Barty defeated American Danielle Collins to win the Australian Open women's title on 29 January 2022.
• Spain's Rafael Nadal won the Australian Open Men's Singles final on 30 January 2022.

Additional Information

• List of Grand Slam Winners 2021-22

The correct answer is the Losar festival.

Key Points

• The Losar festival marks the beginning of the Tibetan New Year.
• The Losar Festival is celebrated with great zeal and fervour in Tibetian border states like Himachal Pradesh, Ladakh, Sikkim and Arunachal Pradesh.
• It is also known as a festival of happiness and prosperity.
• The celebrates the Ladakhi or Tibetan New Year.

Additional Information

• Puthandu:
• It is also known as Puthuvarusham.
• Puthandu is observed by Tamils as the traditional "Tamil/Hindu New Year."
• It normally occurs on April 14 and this month is known as Chittirai, the first month of the Tamil solar calendar.
• Poila Boisakh:
• The first day of the first month of Baishakh in the Bengali solar calendar is known as Pohela Boishakh.
• It is also known as the Bengali New Year or Nobo Borso.
• It is widely observed in Bangladesh and West Bengal.
• Vishu:
• Due to Malyalam being the dominant language in Kerala, Vishu is sometimes referred to as the Malyalam New Year.
• For residents of Kerala and several nearby regions of Tamil Nadu, Vishu signifies the start of the new year.
• Gudi Padwa:
• Celebrated on the first day of Chaitra month, Gudi Padwa is a New Year day for Maharashtrians and Konkanis.
• On this day a gudi can be found hanging out on the right side of the main access of the houses.
• Navreh
• It is the lunar new year that is celebrated in Kashmir.
• It is the Sanskrit word ‘Nav-Varsha’ from where the word ‘Navreh’ has been derived.
• It falls on the first day of the Chaitra Navratri.
• Ugadi
• The festival of Ugadi is celebrated on the first day of Chaitra month as per the Hindu calendar
• Ugadi, also known as Yugadi, is a renowned South Indian festival mainly celebrated in Andhra Pradesh, Karnataka, and Telangana to commemorate the beginning of a new year.
• For Ugadi, doors in homes are adorned with mango leaf decorations called toranalu or Torana in Kannada
• Pana Sankranti
• Oriya New Year is also known as Pana Sankranti and it is observed as the first day of the Oriya Calendar.
• It is also known as ‘Maha Vishuba Sankranti,’ ‘Maha Sankranti,’ and ‘Mesha Sankranti’ is a festival that is widely celebrated across Odisha as the traditional New Year
• Pana Sankranti is named after ‘Pana,’ the main fruit drink which is prepared in Odisha’s traditional culture.

The correct answer is Thermosphere.

Key Points

• The thermosphere layer of the Atmosphere helps in Radio Transmission.
• It is located above the mesosphere and below the exosphere.
• In the thermosphere, the temperature rises rapidly with increasing height.
• The ionosphere is a part of this layer.
• This layer helps in radio transmission and in fact, radio waves transmitted from the earth are reflected back to the earth by this layer.
• This layer is home to the International Space Station as it orbits Earth.

Additional Information The troposphere

• It is the lowermost layer of the atmosphere.
• Its average height is 13 km and extends roughly to a height of 8 km near the poles and about 18 km at the equator.
• The thickness of the troposphere is greatest at the equator because heat is transported to great heights by strong convectional currents.
• This layer contains dust particles and water vapor.
• All changes in climate and weather take place in this layer.
• The temperature in this layer decreases at the rate of 1°C for every 165m of height.
• This is the most important layer for all biological activity.

The stratosphere

• It is found above the tropopause and extends up to a height of 50 km.
• One important feature of the stratosphere is that it contains the ozone layer.
• This layer absorbs ultraviolet radiation and shields life on the earth from an intense, harmful form of energy.

The mesosphere

• It lies above the stratosphere, which extends up to a height of 80 km.
• In this layer, once again, the temperature starts decreasing with the increase in altitude and reaches up to minus 100°C at a height of 80 km.
• The upper limit of the mesosphere is known as mesopause.

The exosphere

• It is the uppermost layer of the atmosphere.
• This is the highest layer but very little is known about it.
• Whatever contents are there, these are extremely rarefied in this layer, and it gradually merges with outer space.

The correct answer is Unlimited.

Key Points

• All players are allowed unlimited let serves in table tennis.
• There is no limit to let serves in table tennis.

Additional Information

• Important terms of Table tennis:
• Rally- Rally is a term used in Tennis. The period in which the ball is in play.
• Let- Service ball hitting the net or a distraction that causes the point played over.
• Point- A unit of scoring in table tennis.
• Dead - A ball without any spin.

The correct answer is nominal GDP.

Key Points

• The gross domestic product (GDP) value at the most recent prices is known as nominal GDP.
• It is determined by current market pricing, without taking into account the impact of inflation or deflation.
• It shows how much money was spent on the commodities and services a nation generated within a certain fiscal year. In contrast to real GDP, which measures the rate of price rises in an economy, nominal GDP excludes changes in prices brought on by inflation.
• Due to the fact that real GDP only takes into account production and is unaffected by changes in prices or exchange rates, it is regarded as a reliable measure of a nation's economic progress.
• Growing pricing rather than an increase in the number of goods and services produced may be the cause of nominal GDP growth from year to year.

Important Points

• Real gross domestic product (GDP), which refers to the volume level of GDP, is GDP expressed at constant prices.
• By quantifying the values of all the goods and services produced in a given year in terms of a base period, one can derive constant price estimates of GDP.
• The standard measurement of the value added produced via the production of goods and services in a nation over a specific time period is the gross domestic product (GDP).
• Consequently, it also accounts for the revenue generated by that manufacturing, or the total amount spent on finished goods and services (fewer imports).

The correct answer is Palaeolithic.

Key Points

• During Palaeolithic period, Ostriches were found in India.
• At Patne in Maharashtra, significant numbers of ostrich eggshells were discovered.
• Indian researchers have for the first time discovered molecular proof to support the presence of these birds in India more than 25,000 years ago based on a DNA examination of an ostrich fossilized eggshell fragment. Scientists from the CCMB, Indian Institute of Technology, Roorkee, and other institutions collaborated to conduct the study.
• The continental drift of Gondwanaland or Gondwana is frequently cited as the cause of the ostrich's origin and evolution.

Important Points

• The Paleolithic, also known as the Old Stone Age, was a time in prehistoric human history marked by the invention of stone implements. It encompasses nearly the entire span of prehistoric human technology.
• A term used in archaeology to refer to particular cultures that existed between the Paleolithic and Neolithic periods is the Mesolithic Period, also known as the Middle Stone Age.
• Between the Neolithic and the Bronze Age lies a period known as the Chalcolithic, or Copper Age. It is believed to have started in the late fourth to early third millennia BC, depending on the location, and ended with the start of the Bronze Age proper.
• The third and last phase of the Stone Age was known as the Neolithic Age, or New Stone Age.

The correct answer is Jivhala.

Key Points

• The Maharashtra Department of Prisons has introduced a financing programme called Jivhala for prisoners serving terms in various institutions throughout Maharashtra.
  

This recently introduced credit programme, called Jivhala, is provided by Maharashtra State Cooperative Bank.

• For Indian convicts, a first-of-its-kind credit programme has been introduced. The current loan programmes that the banks are offering to the nation's prisoners are only intended to be used for rehabilitation when their prison terms are complete.
• The Yerawada Central Jail inmates in Pune are the subjects of the pilot programme for this programme. About sixty prisons in Maharashtra will use this programme.
• This programme was primarily created for all convicted criminals serving sentences of more than three years.
• 230 loan applications from the Yerawada Central Prison are being processed during the scheme's pilot phase.
• There have been 222 male and 8 female loan applications out of the total.

Important Points

• Loans over Rs 50,000 and up to Rs 5 lakh would be offered under the "Kishor" Scheme.
• A savings programme supported by the Indian government and geared towards parents of girls is known as Sukanya Samriddhi Account. The programme encourages parents to start a fund for their female child's future education.
• A government of India incentive for the unorganised sector is the Swavalamban Scheme. The Government of India will pay Rs. 1000 annually to each NPS-Swavalamban account as long as the contribution is between Rs. 1000 and Rs. 12000 annually. This pension programme is intended to provide retirement benefits to the unorganised sector.

The correct answer is Madhya Pradesh.

Key Points

• Madhya Pradesh is the Maihar court where Baba Allauddin Khan was a musician.
• Baba Allauddin Khan was a musician for the Maihar court and was awarded the Padma Bhushan in 1958 and the Padma Vibhushan in 1971.
• Pandit Ravi Shankar and Nikhil Banerjee, both deceased, were two more notable artists from this Gharana.
• The nal-tarang, jal-tarang, and Chandra-Sarang, among other musical instruments, were created by Baba Allauddin Khan despite the restricted resources in a tiny town like Maihar.
• Baba founded the Maihar Band in 1918 with the intention of offering comfort to children who had been left orphaned by an epidemic.

Important Points

• Baba Allauddin Khan was appointed as the Maharaja of Maihar's court musician.
• By creating a number of ragas, fusing the bass sitar and bass sarod with more conventional instruments, and assembling an orchestra, he created the groundwork for the present Maihar Gharana.
• He received the Sangeet Natak Akademi's highest honor, the Sangeet Natak Akademi Fellowship, for his lifelong contribution to Indian music in 1954.
• He also received India's third and second-highest civilian honors, the Padma Bhushan and Padma Vibhushan, in 1958 and 1971, respectively.

The correct answer is English.

Key Points

• English set up a factory on the banks of river Hugli in 1651.
• In 1651, Hugli became the site of the first British factory.
• The East India Company obtained a charter from Queen Elizabeth I of England in 1600, giving it the exclusive right to trade with the East and shielding it from other British traders' competition.
• Employees of the Company were obliged to pay duty because they also engaged in their own private businesses.
• However, they refused, infuriating Murshid Quli Khan, the Nawab of Bengal, which sparked a series of bloody wars.

Important Points

• The Hugli Riverfront is made up of the two banks of the river, which flows through West Bengal, India, between the cities of Kolkata on the east and Howrah on the west.
• A beautifying project on the river's east bank began in 2011, and the first phase was completed in 2012.
• The Ganga, also known as the Kati-Ganga in the Puranas, is a branch of the Bhagirathi Hooghly River that originates in Murshidabad, close to Giria, north of Baharampur and Palashi.
• The Padma, the major branch of the Ganges, then empties into Bangladesh.

Given:

The ratio of corresponding sides of two similar triangles = √3 : √2

Concepts used:

Area of one triangle/Area of the second triangle = (Side of first triangle/Corresponding side of the second triangle)²

Calculation:

Area of one triangle/Area of second triangle = (√3/√2)² = 3/2.

∴ The ratio of the area of two similar triangles is 3 ∶ 2.

Calculation:

Let the Cost price of the book be 100

Then, Marked Price of the book is 100 + (15% of 100) = 115

Printed price or marked price = 942

Cost price of book = 942 × (100/115)

⇒ 819.13

Now,

Paper cost = 819.13 × 15/100

⇒ 122.869 ≈ 122.9

∴ The required answer is Rs. 122.9

Given:

In a 100 m race, A beats B by 20 m And B beats C by 20 m

Calculation:

According to the question,

When A covers 100 m, B covers 80 m

And when B covers 100 m, C covers 80 m

So, the distance ratio of A to B and B to C are 10 : 8 and 10 : 8

A : B : C = 100 : 80 : 64

So, A beats C by 100 - 64

⇒ 36 m

∴ A beats C by 36 m

Given:

one man or two women or four boys or five girls can finish a work in 39 days

Concept used:

Total work = efficiency of the worker × time taken

Calculation:

According to the question,

M × 39 = 2W × 39 = 4B × 39 = 5G × 39

⇒ M = 2W = 4B = 5G

⇒ M/W = 2/1, W/B = 4/2 = 2/1, B/G = 5/4

⇒ M : W : B : G = (2 × 2 × 5) : (1 × 2 × 5) : (1 × 1 × 5) : (1 × 1 × 4)

So, the ratio of their efficiency is M : W : B : G = 20 : 10 : 5 : 4

So, total work = 39 × 20 = 780 units

Now,

Effective efficiency of one man, one woman, one boy, one girl = 20 + 10 + 5 + 4

⇒ 39

Time = 780/39

⇒ 20 days

∴ The required answer is 20 days.

Given:

cot 15°cot 25°cot 45° cot 75°cot 65°

Formulas used:

Calculation:

cot 15°cot 25°cot 45° cot 75°cot 65°

⇒ cot 15° × cot 25° × cot 45° × cot (90° - 15°) × cot (90° - 25°)

⇒ cot 15° × cot 25° × cot 45° × tan15° × tan 25°

⇒ 1 × 1× 1 = 1

∴ The required result is 1

Given:

cot P = √3

Concept used:

Calculation:

cot P = √3

⇒ cot P = cot 30°

So, P = 30°

Now,

sin 30° = $\frac{1}{2}$

∴ The required answer is $\frac{1}{2}$.

Given:

The difference of two numbers is 1564.

Concept used:

Dividend = Divisor × Quotient + Remainder

Calculation:

Let the larger number be a and the smaller number be b

So,

a - b = 1564      ----(1)

Again,

a = (b × 6) + 19 = 6b + 19      ----(2)

Substituting the value of ‘a’ from Equation 2 in Equation 1

(6b + 19) – b = 1564

⇒ 5b = 1545 

⇒ b = 1545/5

⇒ b = 309 

So, the smaller number is 309

∴ The required answer is 309.

Given:

a + b + c = 6

a2 + b2 + c2 = 14 and ab + bc + ca = 11

Concept used:

a3 + b3 + c3 - 3abc = (a + b + c)[a2 + b2 + c² - ab - bc - ca]

Calculation:

a3 + b3 + c3 - 3abc = 6(14 - 11)

⇒ 6 × 3

⇒ 18

∴ The required answer is 18.

Given:

The length of the tangent to a circle from point P is 15 cm.

Point P is 17 cm away from the centre.

Calculation:

Let AP be the tangent and OA be the radius

Now,

AP = 15

OP = 17

As we know the radius makes 90° at a tangent.

So,

OA² + AP² = OP²

⇒ OA2 + 152 = 172

⇒ OA2 + 225 = 289

⇒ OA2 = 64

⇒ OA = 8

So, radius = 8 cm

∴ The radius of the circle is 8 cm.

Given:

Side of an equilateral triangle is 24 cm.

Concept used:

In-radius of an equilateral triangle is (side of the triangle)/2√3

Calculation:

According to the concept,

Inradius = 24/2√3

⇒ 12/√3

⇒ by Mulitplying √3

⇒ (12*√3)/(√3*√3)

⇒ 4√3 cm

∴ The radius of in circle of this equilateral triangle 4√3 cm.

Given:

The radius of a right circular cylinder is five times its height.

The height of the cylinder is 3.5 cm

Concept used:

Volume of a cylinder = πr²h

here,

r = radius and h = height

Calculation:

The radius of the cylinder = 3.5 × 5

⇒ 17.5

Now,

Volume = π × 17.5² × 3.5

⇒ 22/7 × 17.5 × 17.5 × 3.5

⇒ 22 × 2.5 × 17.5 × 3.5

⇒ 3368.75

∴ The volume of the cylinder is 3368.75 cm³.

Given:

In an election between two candidates, 12% of voters did not cast their votes.

The winner by obtaining 68% of the total votes defeated his contestant by 2880 votes. 

Calculation:

Let total voters be 100a

So, total voters who casted their vote = 88a

Now,

Winner got 100a × 68%

⇒ 68a

So, losing candidate got 88a - 68a

⇒ 20a

According to the question,

68a - 20a = 2880

⇒ 48a = 2880

⇒ a = 60

So, number of voters who casted their votes = 60 × 88

⇒ 5280

∴ The total number of voters who cast their votes in the election was 5280.

Given:

A cuboid of length 36 m, breadth 18 m and height 9 m is melted and recast into a cube.

Concept used:

Volume of cuboid = L × H × B

Volume of cube = a³

Here,

L = Lenght

B = breadth

H = height

a = side of the cube

Calculation:

Let the side of the cubes to be formed be a

According to the question,

Volume of cuboid = volume of the cube

So,

36 × 18 × 9 = a³ 

⇒ 5832 = a3 

⇒ a³ = 18³

⇒ a = 18

So, the diagonal of the cube is 18√3

∴ The length of the diagonal of the cube is 18√3.

Calculation:

Number of delivery partners that joined Pyntra in 2017 = 5.6

Number of delivery partners that joined Pyntra in 2021 = 7.2

Increase in the number of delivery partners that joined Pyntra = 7.2 - 5.6

⇒ 1.6

% increase = (1.6/5.6) × 100

⇒ 28.57%

∴ The required answer is 28.57%.

Shortcut Trick

The expression follows the algebraic identity form: (a³ + b³) ÷ (a² − ab + b²).

This simplifies directly to (a + b) because (a³ + b³) = (a + b)(a² − ab + b²).

Here, a = 762 and b = 316.

Result = 762 + 316 = 1078.

∴ The correct answer is 1078.

Alternate Method

Given:

Numerator = 762 × 762 × 762 + 316 × 316 × 316

Denominator = 762 × 762 − 762 × 316 + 316 × 316

Formula Used:

a³ + b³ = (a + b)(a² − ab + b²)

Calculations:

Let a = 762 and b = 316.

⇒ Expression = (a³ + b³) ÷ (a² − ab + b²)

⇒ Expression = [(a + b)(a² − ab + b²)] ÷ (a² − ab + b²)

⇒ Expression = a + b

⇒ Expression = 762 + 316

⇒ Expression = 1078

∴ The correct answer is 1078.

Additional Information

Sum of Cubes Identity

The expression (a³ + b³) is always divisible by (a + b) and the quotient is (a² − ab + b²).

Difference of Cubes Identity

Similarly, a³ − b³ = (a − b)(a² + ab + b²), which is a common simplification shortcut in competitive exams.

Square Identities

(a + b)² = a² + 2ab + b² and (a − b)² = a² − 2ab + b².

Given:

The price of some wooden furniture increases by 65% when it passes through three hands.

1st two profit % are 20% and 25%

Concept used:

Successive profit = P₁ + P₂ + (P1 × P2)/100 

Calculation:

Effective profit % after 1st two profit = 20 + 25 + (20 × 25)/100

⇒ 45 + 500/100

⇒ 45 + 5 

⇒ 50%

Let the 3rd profit% be x

So,

50 + x + 50x/100 = 65

⇒ 50 + x + x/2 = 65

⇒ (100 + 2x + x)/2 = 65

⇒ 100 + 3x = 130

⇒ 3x = 30

⇒ x = 10

So, the third profit % = 10%

∴ The required answer is 10%.

Shortcut Trick

We know 20% = 1/5 and 25% = 1/4 and 65% = 13/20

Then, x : y = (6 × 5 × 20) : (5 × 4 × 33) = 20 : 22

So, profit% = 2/20 × 100 = 10%

Given:

1st Proportional(a) = 2; 6

2nd Proportional(b) = 5; 8

3rd Proportional(c) = 6; 9

Formula Used:

4th Proportional(d) = (b x c)/a

Calculation:

According to the formula,

(5 x 6)/2 = 15

The fourth proportion is 15

Again,

(8 x 9)/6 = 12

The fourth proportion is 12

Ratio = 15 : 12

⇒ 5 : 4

∴ The ratio is 5 : 4

Given:

A man travels at $\frac{1}{x}$ km/h on a journey and returns at $\rm \frac{1}{x^2}$ km/h

Concept used:

Average speed = $\frac{2\times speed_1\times speed_2}{speed_1 + speed_2}$

Calculation:

Average speed = $\frac{2\times\frac{1}{x}\times\frac{1}{x^2}}{\frac{1}{x}+\frac{1}{x^2}}$

⇒ $\frac{\frac{2}{x^3}}{\frac{x + 1}{x^2}}$

⇒ $\rm \frac{2}{x+x^2}$

∴ The average speed is $\rm \frac{2}{x+x^2}$.

Given:

$\rm k^4+\frac{1}{k^4}=194$

Concept used:

$\rm (a+\frac{1}{a})^2=\rm a^2+\frac{1}{a^2} + 2$

If 

$\rm (a+\frac{1}{a})=b$

Then,

$\rm a^3+\frac{1}{a^3} =b^3-3b$

Calculation:

$\rm k^4+\frac{1}{k^4}=194$

⇒ $\rm k^4+\frac{1}{k^4}+2=194+2$

⇒ $\rm k^4+\frac{1}{k^4}+2=196$

⇒ $\rm( k^2+\frac{1}{k^2})^2=14^2$

⇒ $\rm k^2+\frac{1}{k^2}=14$

⇒ $\rm k^2+\frac{1}{k^2}+2=14+2$

⇒ $\rm (k+\frac{1}{k})^2=16$

⇒ $\rm (k+\frac{1}{k})^2=4^2$

⇒ $\rm k+\frac{1}{k}=4$

Now,

$\rm k^3+\frac{1}{k^3}$ = 4³ - 3 × 4

⇒ $\rm k^3+\frac{1}{k^3}$ = 64 - 12

⇒ $\rm k^3+\frac{1}{k^3}$ = 52

∴ Ther required answer is 52.

 Shortcut Trick

We know,

• If k⁴ + 1/k⁴  = a then k² + 1/k² = √(a + 2)

• If k2 + 1/k2 = b then k + 1/k = √(b + 2)

• If k + 1/k = c then k³ + 1/k³ = c³ - 3c

So, k4 + 1/k4 = 194 then  k2 + 1/k2 = √196 = 14 so, k + 1/k = √16 = 4

Then, k3 + 1/k3 = 4³ - 12 = 52

Shortcut Trick

HCF is the difference of the numbers or a factor of the difference.

Difference = 2040 − 391 = 1649.

Check options for 1649: 1649 ÷ 17 = 97 (Perfectly divisible).

Checking numbers: 391 ÷ 17 = 23 and 2040 ÷ 17 = 120.

∴ The correct answer is 17.

Alternate Method

Given: Two numbers are 2040 and 391.

Formula Used: Long Division Method for HCF.

Calculations:

⇒ 2040 = 391 × 5 + 85

⇒ 391 = 85 × 4 + 51

⇒ 85 = 51 × 1 + 34

⇒ 51 = 34 × 1 + 17

⇒ 34 = 17 × 2 + 0

∴ The correct answer is 17.

Additional Information

Highest Common Factor (HCF)

It is the greatest number that divides two or more numbers without leaving a remainder. Also known as GCD (Greatest Common Divisor).

Relationship between HCF and LCM

For any two numbers 'a' and 'b': HCF(a, b) × LCM(a, b) = a × b.

Co-prime Numbers

Two numbers are said to be co-prime if their HCF is 1.

Given:

A = amount = ₹5,664

T = time = 4 years

R = rate of interest = 12%

Formula used:

Installment = (100 × A)/{100 × T + RT(T – 1)/2}

Calculation:

Installment = (100 × 5664)/(100 × 4 + 12 × 4 × 3/2)

⇒ (100 × 5664)/(400 +72)

⇒ 100 × (5664/472)

⇒ 100 × 12

⇒ 1200

∴ The annual instalment will be ₹1,200.

Mistake Points As per SSC, they assume the debt amount and solve the question.

The above is a Previous year's question, and SSC holds this solution correct.

Refer to the solution carefully.

Calculation:

J1 = (50 + 100)/2

⇒ 150/2

⇒ 75

J2 = (90 + 120 + 30 + 80 + 80 + 50)

⇒ 450

So, J2/J1 = 450/75

⇒ 6

∴ The required answer is 6.

Calculation:

Number of students opted for Biology from school C = 1000 × 24/100

⇒ 240

No. of male and female = 240 × 1/3 = 80, 240 × 2/3 = 160

Difference = 160 - 80

⇒ 80

∴ The required answer is 80.

Given:

The minute hand of a watch is 2 cm long.

Formula Used:

Arc length, l = r × θ

l = arc length (in radian)

r = radius

θ = central angle in radian

1° = π^c/180

Calculation:

We know that,

Angle traced by the minute hand in 60 min = (2π)^c

Angle traced by the minute hand in 45 min = [(2π × 45)/60]^c

⇒ (3π/2)^c

⇒ r = 2 cm and θ =

(3π/2)c

⇒ l = r × θ

⇒ l = 2 × (3π/2)c

⇒ l = 3π

∴ The required answer is 3π cm.

Given:

Sunil purchased a fan at a 10% discount on the labeled price.

If he had purchased it at a 15% discount, he would have saved ₹400.

Concept used:

Cost price = Labelled price × (100 - discount)%

Calculation:

Let the labeled price of the fan be Rs. 100x

Now,

After the actual discount cost price of the fan for Sunil was = 100x × 90%

⇒ 90x

Now,

If he gets a 15% discount then,

Cost price = 100x × 85%

⇒ 85x

According to the question,

90x - 85x = 400

⇒ 5x = 400

⇒ x = 80

So, 100x = 8000

∴ The labeled price of the fan is ₹8,000.

Shortcut Trick

​A difference of 5% discount saved Rs.400

Then 100% → 400/5 × 100 = 8000 (Marked Price)

The correct answer is: Rectify

Key Points

• Rectify: To correct something or make something right, Improve. (सुधारना)
• For example- You should rectify your mistakes before it is too late.
• So, it is clear that 'Rectify' can be used as a one-word substitute for 'Adjust or make right; correct, amend​'

Therefore, the correct answer is option 4.

Additional Information 

• Recruit: To persuade someone to become a new member of an organization. (नियुक्त करना)
• Recreate: To make something exist or happen again. (बहलाना)
• Recourse: A source of help in a difficult situation. (सहारा)

The correct answer is: scorching.

Key Points

• Let us look at the meaning of the given words.
• Banging: A continuing very loud noise. (लगातार बहुत तेज आवाज)
• Freezing: Extremely cold or turning to ice. (अत्यधिक ठंडा या बर्फ में बदल जाना)
• Scorching: Burning; very hot. (जलता हुआ; बहुत गर्म)
• For example- It was scorching hot inside the greenhouse.
• Alleviating: To make pain or problems less severe. (दर्द या समस्याओं को कम गंभीर बनाने के लिए)
• ​As per the meaning of the given words "Scorching" is the most appropriate word.

Therefore, the correct answer is option 3.

Complete sentence: Be it a chaat or a refreshing lemonade, lemon is the need of the hour in scorching summers.

The erroneous part of the sentence is: at five on the morning

Key Points

• The error here lies in the use of the preposition.
• Replace "on" with "in" to make the sentence correct.
• “In” and “on” are both time-based prepositions. We can use them in different ways when we want to talk about specific periods.
• We use in with morning, afternoon, evening and night when we are referring to a general time.
• For example- I always work best in the morning.
• But we use on when we talk about a specific morning, afternoon, etc., or when we describe the part of the day.
• For example- On the morning of the 19th, I will have to rush to school.
• The given sentence is talking about a general time in the morning, so the preposition "in" should be used here.
• Therefore, the correct answer is option 2, which contains the error in it.