SSC CHSL Tier-1 2021: Official Paper (Held On : 6 June 2022 Shift 3) (Previous Year Paper)

The solution is He wished he had more resources to support the poor. 

Key Points

• The error in the given sentence "He wished he has more resources to support the poor." is He wished he had more resources to support the poor.
• Therefore option 4 is the correct option.

Additional Information

• The main difference between has and had is the tense they are used in Has is used for referring to the third person but in the singular present tense of the verb, while Had is used for referring to the third person but in singular past tense and past participle of the verb.

The solution is partially deaf.

Key Points

• The most appropriate meaning of the idiom given in bold in "The minister is a little hard of hearing." is  partially deaf.
• Therefore option 3 is the correct option.

Additional Information

• Let's discuss about idioms:
• ​A group of words established by usage as having a meaning not deducible from those of the individual words.​​
• For example:- 
• On cloud nine - Being very happy.
• Get your act together - Get organized and do things effectively.
• Back against the wall - Stuck in a difficult circumstance with no escape

The solution is assembled, broadcasts.

Key Points

• The most appropriate option to fill in "In the Second World War, the British _________ thousands of so-called interceptors – mostly women – whose job it was to tune in every day and night to the radio _________ of the various divisions of the German military" is  assembled, broadcasts.
• In the Second World War, the British  assembled thousands of so-called interceptors mostly women whose job it was to tune in every day and night to the radio broadcasts of the various divisions of the German military.
• Assembled - (of people) gather together in one place for a common purpose: ​
• *For example : "*a crowd had assembled outside the gates."
• Broadcast - transmit (a programme or some information) by radio or television:   ​
• For example : "the announcement was broadcast live"
• Therefore option 3 is the correct option.

Additional Information

• Let's discuss the information about other options :
• Assented - Express approval or agreement. 
• ​For example : "Guest house, then,’ Frank assented cheerfully"
• Broadsides - A fierce verbal attack. 
• ​For example :"He launched a broadside against the economic reforms"
• Adhered - Stick fast to (a surface or substance).
• ​For example :"paint won't adhere well to a greasy surface"
• Broadlooms - Carpet woven in wide widths.
• ​For example :"wall-to-wall broadloom"

The solution is Hard physical efforts.

Key Points

• The most appropriate meaning of the given idiom "Elbow grease" is Hard physical efforts.
• Therefore option 3 is the correct answer.

 Additional Information

• Let's discuss about idioms:
• ​A group of words established by usage as having a meaning not deducible from those of the individual words.​​
• For example:- 
• On cloud nine - Being very happy.
• Get your act together - Get organized and do things effectively.
• Back against the wall - Stuck in a difficult circumstance with no escape

The solution is Passengers are forbidden by the rules to cross the railway bridge.

Key Points

• The option that expresses in passive voice "The rules forbid passengers to cross the railway bridge." is Passengers are forbidden by the rules to cross the railway bridge.
• Therefore option 3 is the correct option.

Additional Information

• Passive voice is a quality of a verb that describes when the subject of a sentence is acted upon by the verb.
• Passive voice - The girl was shot.
• Active voice - I shot the girl.

The solution is Understate.

Key Points

• The most appropriate ANTONYM of the word ‘Exaggerate’ is Understate.
• Therefore option 4 is a correct option.

Additional Information

• Antonym - Antonym is opposite of the given word.
• Antonym of Elaborate is simple.
• Antonym of Embroidery is simplification.
• Antonym of Decorate is blemish.

The correct answer is: had set up.

Key Points

• The context tells us that a group had established a Free Mandela Committee and had started a spirited campaign with the catchphrase 'Free Mandela'.
• 'Set up' is a phrasal verb which means to establish a business, institution, or other organization.
• For example: I will set up a shop for Diwali.
• Similarly, in this context, the setting up of a committee is discussed here.
• Options (2), (3) and (4) are grammatically incorrect as there are incorrect prepositions ('to', 'over' and 'upon') that make the sentence contextually incorrect.

Therefore, the correct sentence is: The organisation had set up a Free Mandela Committee and launched a lively campaign with the slogan ‘Free Mandela’.

The solution is Panacea.

Key Points

• The option that can be used as a one-word substitute for "Something that will cure all illnesses." is Panacea.
• Therefore option 3 is a correct option.

 Additional Information

• Let's discuss information about other options :
• Wine - An alcoholic drink made from fermented grape juice.
• Vaccination - Treatment with a vaccine to produce immunity against a disease.
• Tonic - A medicinal substance taken to give a feeling of vigour or well-being.

The solution is The police were ordered to pursue the robber and his gang.

Key Points

• The option that expresses in passive voice "He ordered the police to pursue the robber and his gang." is The police were ordered to pursue the robber and his gang.
• Therefore option 4 is the correct option.

Additional Information

• Passive voice is a quality of a verb that describes when the subject of a sentence is acted upon by the verb.
• Passive voice - The girl was shot.
• Active voice - I shot the girl.

The solution is CDBA.

Key Points

• The sentences in the correct order to form a meaningful and coherent paragraph is CDBA.
• C- Noise exposure is the primary reason for hearing loss among the workers , D- It affects the working class in a big way both mentally and physically , B-  Preventive measures involve the availability of proper equipment , A- Wearing noise cancellation headphones is an example of such equipment.
• Therefore option 1 is the correct option.

The solution is amazingly.

Key Points

• The most appropriate synonym of the word given in bold in "In his youth Joyonto must have been startlingly handsome." is amazingly.
• In his youth Joyonto must have been amazingly handsome.
• Therefore option 4 is the correct option.

Additional Information

• Enviously - Feeling or showing envy.
• Lightly - Gently, delicately or softly.
• Wrinkly - Having many lines or folds.

The solution is A very long time.

Key Points

• The most appropriate meaning of the given idiom "Donkey's years" is A very long time.
• Therefore option 1 is the correct option.

Additional Information

• Let's discuss about idioms:
• ​A group of words established by usage as having a meaning not deducible from those of the individual words.​​
• For example:- 
• On cloud nine - Being very happy.
• Get your act together - Get organized and do things effectively.
• Back against the wall - Stuck in a difficult circumstance with no escape

The solution is functional.

 Key Points

• The most appropriate synonym of the highlighted word in "The government’s utilitarian stance was appreciated by all." is functional.
• Utilitarian means designed to be useful or practical rather than attractive. (उपयोगी )
• Example: A utilitarian building.
• Functional: Having a special activity, purpose, or task. (कार्यात्मक)
• Example: A functional role.
• Therefore option 1 is the correct option.

Additional Information

• Let's discuss information about other options:
• Fanciful - Over-imaginative and unrealistic. (कल्पनाशील)
• Distasteful - Causing dislike or aversion; disagreeable or unpleasant. (अप्रिय)
• Necessary - Needed to be done, achieved, or present or essential. (आवश्यक )

The solution is Repeal.

Key Points

• The most appropriate synonym of the given word "Abrogate(repeal or do away with (a law, right, or formal agreement))" is Repeal(revoke or annul (a law or act of parliament)).
• Therefore option 4 is the correct option.

Additional Information

• Let's discuss information about other options:
• Endure - Suffer (something painful or difficult) patiently.
• *For example : "He endured the pain for her."*​
• Reveal - Make (previously unknown or secret information) known to others. 
• ​For example : "Mike revealed his true identity."
• Extend - Cause to cover a wider area; make larger.
• ​For example : "The garden has been extended."

The solution is The young students in the annual event were singing the national anthem very enthusiastically.

Key Points

• The option that expresses the given sentence "The national anthem was being sung very enthusiastically by young students in the annual event." in active voice is The young students in the annual event were singing the national anthem very enthusiastically.
• Therefore option 1 is the correct option.

Additional Information

• Let's discuss about active and passive voice:
• Active voice - The active voice is defined as style of writing where the subject completes the action of the sentence.
• For example : " James wrote the book."
• Passive voice - The passive voice is defined as style of writing where the subject is done completing the action by what seems like it should be the object.
• For example : " The book was written by James."

The solution is Haste.

Key Points

• The most appropriate ANTONYM of the given word "Delay" is Haste.
• Therefore option 3 is the correct option.

Additional Information

• Let's discuss information about antonyms:
• Antonyms - Antonyms is opposite meaning of the given word.
• Let's see antonyms of other options:
• Antonym of Scarce is plentiful.
• Antonym of Nice is unpleasant.
• Antonym of Weary is energetic.

The solution is maintained.

Key Points

• The most appropriate option to fill in the blank in "Discipline must be ________ at any cost" is maintained.
• Discipline must be maintained at any cost.
• Therefore option 3 is the correct option.

Additional Information

• Let's discuss information about other options:
• ​Instructed - Tell or order someone to do something, especially in a formal or official way.
• ​For example : "I instructed that she should be given hot tea."
• Curtailed - Reduce in extent or quantity, impose a restriction on.
• ​For example : "Civil liberties were further curtailed."
• Highlighted - Draw special attention to.
• ​For example : "Her mental issue was highlighted."

The solution is Milennium.

Key Points

• the INCORRECTLY spelt word is Milennium.
• The correct spelt word is Millennium.
• Millennium - A period of a thousand years, especially when calculated from the traditional date of the birth of Christ.
• For example : "Silver first came into use on a substantial scale during the 3^rd millennium bc."
• Therefore option 4 is the correct option.

Additional Information

• Let's discuss information about other options:
• Inoculate - Immunize (someone) against a disease by introducing infective material, microorganisms, or vaccine into the body.
• *For example : "The country will have enough vaccine stockpiled to inoculate the entire population."*​
• Leisure - Time when one is not working or occupied or free time. 
• ​*For example : "People with too much enforced leisure."*​
• Medieval - Relating to the Middle Ages.
• ​*For example : "A medieval castle."*​

The correct answer is 'inescapable'.

Key Points

• The most appropriate synonym of the word given in bold in "inevitable" is inescapable.
• Inescapable - Unable to be avoided or denied.
• ​For example : "Political reform was inescapable."
• ​Therefore option 1 is the correct option.

Additional Information

• Let's discuss information about other options:
• Extravagant - Lacking restraint in spending money or using resources. 
• ​For example : "It was rather extravagant to by both cars."
• Privileged - Having special rights, advantages, or immunities.
• ​For example : "In the nineteenth century only a privileged few had the vote."
• Unpredictable - Not able to be predicted; changeable.
• ​For example : "The unpredictable weather of the Scottish island."

The solution is Precusion.

Key Points

• The words given in bold, select the INCORRECTLY spelt word in "Evelyn Glennie has brought percusion to the front of the orchestra, and demonstrated that it can be very moving." is Precusion.
• The correct spelt word is Percussion.
• Percussion - The striking of one solid object with or against another with some degree of force. 
• ​For example : "the clattering percussion of objects striking the walls and the shutters"
• Therefore option 2 is the correct option.

Additional Information

• Let's discuss information about other options:
• Demonstrated - Give a practical exhibition and explanation of (how a machine, skill, or craft works or is performed).
• ​For example : "computerized design methods will be demonstrated"
• Orchestra - A group of instrumentalists, especially one combining string, woodwind, brass, and percussion sections and playing classical music.
• ​For example : "The band played an orchestra."
• Brought - Take or go with (someone or something) to a place.
• ​For example : "she brought Luke home from hospital"

The solution is belief.

Key Points

• The most appropriate option to fill in blank number 1 is belief.
• Science, according to popular belief, is a remote and enigmatic idea that is (2)________ the comprehension of ordinary minds and peace-loving people. This is most likely why the words 'scientist' and 'mad' have been used interchangeably for centuries.
• Therefore option 3 is the correct option.

Additional Information

• Belief - An acceptance that something exists or is true, especially one without proof.
• ​For example : "He believes in ghosts."
• ​Belief is a noun that refers to the act of accepting something as true while believe is a verb that refers to accepting something as truth.

The solution is beyond.

Key Points

• The most appropriate option to fill in blank number 2 is beyond.
• Science, according to popular belief is a remote and enigmatic idea that is beyond the comprehension of ordinary minds and peace-loving people.
• Therefore option 1 is the correct option.

 Additional Information

• Beyond - at or to the further side of.
• ​For example : "He pointed to a spot beyond the streetlamp."
• ​Beyond is a preposition.
• Preposition: A preposition is a word used to link nouns, pronouns*, or phrases to other words within a sentence.* 
• ​For example : On, Upon, Above, Before.

The solution is ironic.

Key Points

• The most appropriate option to fill in blank number 3 is ironic.
• This is most likely why the words 'scientist' and 'mad' have been used interchangeably for centuries. But, given that science is the foundation upon which our lives are built, isn't it ironic that science appears to be beyond the common mind's comprehension?
• Ironic - Using or characterized by irony. 
• For example : "His mouth curved into an ironic smile."
• Therefore option 1 is the correct option.

Additional Information

• Let's discuss information about other options:
• ​Logical - According to the rules of logic or formal argument.
• For example : "A logical impossibility."
• Obvious - Easily perceived or understood, clear, self-evident, or apparent. 
• For example : "It was obvious a storm was coming in."
• Gracious - Courteous, kind, and pleasant, especially towards someone of lower social status.
• For example : "A gracious hostess."

The solution is bedrock.

Key Points

• The most appropriate option to fill in blank number 4 is bedrock.
• Similarly, mathematics, the bedrock of science, gives meaning to the concept of quantification and (5)_________ value for us humans.
• Bedrock - The fundamental principles on which something is based.
• ​For example : "Honestly is the bedrock of a good relationship."
• Therefore option 4 is the correct option.

Additional Information

• Let's discuss information about other options:
• ​Glory - High renown or honour won by notable achievements.
• ​For example : "To fight and die for the glory of one's nation."
• Secret - Not known or seen or not meant to be known or seen by others.
• ​For example : "They kept their relationship secret,"
• Crest - A comb or tuft of feathers, fur, or skin on the head of a bird or other animal.
• ​For example : "A large game bird with a conspicuous erect red crest."

The solution is unequivocal.

Key Points

• The most appropriate option to fill in blank number 5 is unequivocal.
• Similarly, mathematics, the bedrock of science, gives meaning to the concept of quantification and unequivocal value for us humans.
• Unequivocal - Leaving no doubt; unambiguous.
• ​For example : "An unequivocal  answer,"
• Therefore option 3 is the correct option.

Additional Information

• Let's discuss information about other options :
• Unapparent - Not visible or in evidence.
• ​For example : "The insidious, unapparent build-up of stress."
• Incomprehensible - Not able to be understood; not intelligible.
• ​For example : "A language which is incomprehensible to anyone outside the office."
• Undecipherable - (of speech or writing) not able to be read or understood.
• ​For example : "His almost undecipherable brogue."

The logic followed here is:

Second number - 36 = First number

⇒ 9 : 45 → 45 - 36 = 9

⇒ 32 : 68 → 68 - 36 = 32

Similarly,

⇒ ? : 50 → 50 - 36 = 14

Hence, "14" is the correct answer.

BODMAS RULE:

Let's check each option:

Option 1. ÷, =, ×, +, –

Given equation: 50 * 5 * 10 * 1 * 5 * 5

After interchanging the signs, we get:

⇒ 50 ÷ 5 = 10 × 1 + 5 - 5

⇒ 10 = 10 × 1 + 5 - 5

⇒ 10 = 10 + 5 - 5

⇒ 10 = 15 - 5

⇒ 10 = 10

Option 2 .÷, +, =, +, +

Given equation: 50 * 5 * 10 * 1 * 5 * 5

After interchanging the signs, we get:

⇒ 50 ÷ 5 + 10 = 1 + 5 + 5

⇒ 10 + 10 = 1 + 5 + 5

⇒ 20 ≠ 11

Option 3. =, ×, +, +, –

Given equation: 50 * 5 * 10 * 1 * 5 * 5

After interchanging the signs, we get:

⇒ 50 = 5 × 10 + 1 + 5 - 5

⇒ 50 = 50 + 1 + 5 - 5

⇒ 50 = 56 - 5

⇒ 50 ≠ 51

Option 4. +, =, +, ×, ×

Given equation: 50 * 5 * 10 * 1 * 5 * 5

After interchanging the signs, we get:

⇒ 50 + 5 = 10 + 1 × 5 × 5

⇒ 50 + 5 = 10 + 25

⇒ 55 ≠ 35

Hence," ÷, =, ×, +, –" is the correct answer.

The logic followed here is:

Second number = (First number × 4) - 5

⇒35 : 135 → (35 × 4) - 5 = 140 - 5 = 135

⇒24 : 91 → (24 × 4) - 5 = 96 - 5 = 91

Similarly,

⇒17 : ? → (17 × 4) - 5 = 68 - 5 = 63

Hence, 63 is the correct answer.

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

Detailed Explanation :- 

• The line MN is the mirror.
• The word

ends with  

. So, the mirror image will start with 

→ Option 2 is eliminated.

• The second last letter of the word is 

. So, the second letter in the mirror image will be 

→ Options 1, 4 are eliminated.

Hence, Option 3) is the correct answer.

Additional Information 

• In a mirror image Left changes to rightand theright changes to leftwheretop and bottom remains the same.
• When placement of mirror not given, by default we will assume it in vertical direction.
• The starting letter word will be at last after the mirror image drawn with left changes to right and right changes to left.

The logic followed here is:

Second number = (First number × 6) - 9

⇒13 : 69 → (13 × 6) - 9 =78 - 9 = 69

⇒23 : 129 → (23 × 6) - 9 =138 - 9 = 129

Similarly,

⇒17 : ? → (17 × 6) - 9 =102 - 9 = 93

Hence, option 2) is the correct answer.

Given:

Logic: If two same dice have one face common in them, then write it in clockwise direction starting from the common face, then the number with a same positional value of them will be the numbers opposite to them

In given figure, 3 is common between both dice. So we write,

(3-5-6) and (3-1-2) in sequential order.

It means (5-1), (6-2) are opposite to each other.

The remaining face, (4-3) becomes opposite to each other.

So, the number opposite to 3 is 4.

Hence, 4 is the correct answer.

According to the English alphabet series and its positional value:

The logic follows here is: 

(Positional value + 1) is written in place of letters.

• PLATINUM → 171322110152214

• COPPER → 4161717619

• Similarly, GOLD →

Hence, '816135' is the correct answer.

The positional value table is as follows:

The pattern followed here is:

• In SAVIOUR → UYXGQST

​​​ 

 

• In HEATERS → JCCRGPU ​

 

• Similarly, In HEIGHTS → ​

We get 'JCKEJRU'.

Hence, "JCKEJRU" is the correct answer.

The option that represents the correct order of the given words as they would appear in an English dictionary is shown below:

2. Chapel
3. Chapter
4. Character
5. Charcoal
6. Charger

Hence, '2, 3, 5, 4, 1' is the correct answer.

The logic followed here is:

Second number = (First number - 6) × First number

⇒18 : 216 → (18 - 6) × 18 = 12 × 18 = 216

⇒20 : 280 → (20 - 6) × 20 = 14 × 20 = 280

Similarly,

⇒12 :? → (12 - 6) × 12 = 6 × 12 = 72

Hence, 72 is the correct answer.

The logic followed here is:

1) C is older than D 

⇒ C > D

2) B is the oldest among all 

3) E is older than G but younger than F 

⇒ F > E > G

4) G is older than C

⇒ F > E > G > C > D

5. Only two people are younger than C 

⇒ F > E > G > C > D > A

6) D is not the youngest

So, the correct order will be ⇒ B > F > E > G > C > D > A 

So, there are 4 persons (G, C, D and A) younger than E.

Hence, option 3 is the correct answer.

The pattern followed here is:

• In GRAPES : SAREPG

.​​​ 

 

• In VERBAL : LREABV ​

 

• Similarly, In NUMBER : ?  ​

We get 'RMUEBN'.

Hence, RMUEBN is the correct answer.

Given figure:

Hence, option (3) is the correct answer.

BODMAS RULE:

Let's check each option:

1. +, –, =, +

Given equation: 27 * 3 * 10 * 10 * 10

After interchanging the signs, we get:

⇒27 + 3 - 10 = 10 + 10

⇒30 - 10 = 20

⇒20 = 20

2.+, ×, =, ×

Given equation: 27 * 3 * 10 * 10 * 10

After interchanging the signs, we get:

⇒27 + 3 × 10 = 10 × 10

⇒27 + 30 = 100

⇒ 57 ≠ 100

3. ×, ÷, =, –

Given equation: 27 * 3 * 10 * 10 * 10

After interchanging the signs, we get:

⇒27 × 3 ÷ 10 = 10 - 10

⇒27 × 0.3 = 0

⇒ 8.1 ≠ 0

4. +, –, +, =

Given equation: 27 * 3 * 10 * 10 * 10

After interchanging the signs, we get:

⇒27 + 3 - 10 + 10 = 10

⇒30 - 10 + 10 = 10

⇒ 30 ≠ 10

Hence, "+, –, =, +" is the correct answer.

When the folder paper is opened, the cuts will appear as follows:

Hence, option 4) is the correct answer.

BODMAS RULE:

Let's check each option:

1. +, −, =, ×

Given equation: 46 * 75 * 41 * 16 * 5

After interchanging the signs, we get:

⇒46 + 75 - 41 = 16 × 5

⇒46 + 75 - 41 = 80

⇒121 - 41 = 80

⇒80 = 80

2.−, ×, =, +

Given equation: 46 * 75 * 41 * 16 * 5

After interchanging the signs, we get:

⇒46 - 75 × 41 = 16 + 5

⇒46 - 3075 = 16 + 5

⇒46 - 3075 = 21

⇒ -3029 ≠ 21

3. +, =, −, ×

Given equation: 46 * 75 * 41 * 16 * 5

After interchanging the signs, we get:

⇒46 + 75 = 41 - 16 × 5

⇒46 + 75 = 41 - 80

⇒121 = 41 - 80

⇒121 ≠ -39

4. −, +, ×, =

Given equation: 46 * 75 * 41 * 16 * 5

After interchanging the signs, we get:

⇒46 - 75 + 41 × 16 = 5

⇒46 - 75 + 656 = 5

⇒702 - 75 = 5

⇒627 ≠ 5

Hence, "+, −, =, ×" is the correct answer.

Given that:-

• No of days from 3 January 2008 to 1 January 2012  = 364 + 365 + 365 + 365 + 1 = 1460 as 2008 was a leap year.
• Since, it was Wednesday on 2 January 2008, every 7^th day from 2 January will be a Wednesday.
• Thus, no. of odd days = 1460/7 = 4.
• Now, 2 January 2008 (Wednesday) + 4 odd days = 1 January 2012 (Sunday).
• 1^st January 2012 will be Sunday.

Hence, "Sunday" is the correct answer.

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

Detailed Explanation :- 

• The line MN is the mirror.
• The word  

ends with

. So, the mirror image will start with  

→ Options 1, 2 and 4 are eliminated.

Hence, Option 3) is the correct answer.

Additional Information

• In a mirror image Left changes to right and the right changes to leftwheretop and bottom remains the same.
• When placement of mirror not given, by default we will assume it in vertical direction.
• The starting letter word will be at last after the mirror image drawn with left changes to right and right changes to left.

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

Detailed Explanation :- 

• The line MN is the mirror.
• The word 

ends with  

. So, the mirror image will start with

→ Options 1 is eliminated.

• The first letter is

. So, the last letter in the mirror image will be 

 → Options 4 is eliminated.

• The second letter is

. So, the third last letter in the mirror image will be  

→ Options 3 is eliminated.

Hence, Option 2) is the correct answer.

Additional Information

• In a mirror image Left changes to right and the right changes to left where top and bottom remains the same.
• When placement of mirror not given, by default we will assume it in vertical direction.
• The starting letter word will be at last after the mirror image drawn with left changes to right and right changes to left.

The logic followed here is:

Second number = (First number - 2) × First number

1. 16 : 224 → 16 × (16 - 2) = 16 × 14 = 224

2. 21 : 399 → 21 × (21 - 2) = 21 × 19 = 399

3. 35 : 1155 → 35 × (35 - 2) = 35 × 33 = 1155

4. 17 : 238 → 17 × (15 - 2) = 17 × 15 = 255 ≠ 238

Hence, 17 : 238 is the odd pair.

Alternate MethodThe logic followed here is:

(First number)² - (First Number × 2) = Second Number

1. 16 × 16 = 256 - (16 × 2) = 224

2. 21 × 21 = 441 - ( 21 × 2) = 399

3. 35 × 35 = 1225 - ( 35 × 2) = 1155

4. 17× 17 = 289 - ( 17 × 2 ) = 255 ≠ 238

Hence, 17 : 238 is the odd pair.

The pattern followed here is:

Letters are increasing in the order +1, +3, +5, +7.

On continuing the pattern, we get,

Hence, ‘WHOX’ is the correct answer.

The pattern followed here is:

First two letters are decreasing by -2 and last two letters are increasing by +2.

On continuing the pattern, we get,

Hence, ‘XMHD’ is the correct answer.

The pattern followed here is:

Hence, 362 is the correct answer.

The logic followed here is:

Hence, '6.5' is the correct answer.

The least possible Venn Diagram is as follows:

Conclusions:

I. Some stones are plastics. → Follows (because some plastics are metals and all metals are stones, hence some stones are plastics.)

II. Some woods are stones. → Follows (because some woods are metals and all metals are stones, hence some woods are stones.)

III. All stones are metals. → Does not follow (because all metals are stones, vice versa is not true.)

Hence, “Only conclusions I and II follow”.

FORMULA USED:

S.P. = (1-d1/100) × ( 1- d2/100) × M.P.

Discount = ( M.P. -S.P.)

Discount% = ( Discount/M.P.) × 100 

Where, S.P.= Selling price,   M.P. = Marked Price 

d1 and d2 are successive discounts respectively

CALCULATION :

Let us assume the Marked price to be Rs100 

on considering (i), we have

d1 = 25% , d2 = 25%  M.P. = 100

⇒ S.P. = ( 1- 25/100) × ( 1- 25/100) × 100 = 3/4 × 3/4 × 100 = Rs56.25

on considering (ii), we have

discount% = 40 M.P.= 100

⇒ discount% = ( discount/M.P.) × 100 

⇒ 40 = ( discount/100) × 100  ⇔ discount = 40

⇒ S.P.= ( M.P.- discount )  = ( 100 - 40) = Rs60

on considering (iii), we have

Buy 1 get 1 free

⇒ Marked price of 1 article is assumed to be 100

⇒ Hence, Marked price of 2 articles = 200

⇒ Since, 1 article is free. Hence, the customer will get 2 articles in Rs100 

⇒ So, we can say that the Selling price of 1 article  = Rs50

on considering (iv), we have

d1= 30%, d2 = 20% M.P. =100

⇒ S.P. = ( 1- d1/100) × ( 1- d2 /100) × M.P. = ( 1- 30/100)× ( 1- 20/100) × 100 = 7/10 × 4/5 × 100 = Rs56.

Hence,(iii) has minimum Selling price. So, it is more beneficial to the customer.

Shortcut Trick

Relative speed (same direction) = 80 − 72 = 8 km/h

Relative speed in m/s = 8 × 5/18 = 20/9 m/s

Total distance to cover = 640 + 540 = 1180 m

Time = 1180 ÷ (20/9) = 59 × 9 = 531 seconds

531 seconds = 8 minutes 51 seconds

∴ The correct answer is 8 minutes 51 seconds.

Alternate Method

Given:

Length of faster train (L₁) = 640 m

Length of slower train (L₂) = 540 m

Speed of faster train (S₁) = 80 km/h

Speed of slower train (S₂) = 72 km/h

Formula Used:

Relative Speed (same direction) = S₁ − S₂

Time = Total Distance ÷ Relative Speed

Train 1: 640m

Train 2: 540m

S1 = 80 km/h

S2 = 72 km/h Relative Speed = S1 − S2 (Same Direction) Total Distance = 640 + 540 = 1180 m

Calculations:

⇒ Total distance to be covered = L₁ + L₂ = 640 + 540 = 1180 m

⇒ Relative speed = 80 − 72 = 8 km/h

⇒ Relative speed in m/s = 8 × (5/18) = 40/18 = 20/9 m/s

⇒ Time taken = 1180 ÷ (20/9)

⇒ Time taken = 1180 × 9/20

⇒ Time taken = 59 × 9 = 531 seconds

⇒ Time in minutes = 531 ÷ 60 = 8 minutes and 51 seconds

∴ The correct answer is 8 minutes 51 seconds.

Additional Information

Relative Speed Concepts

When two objects move in the same direction, relative speed is the difference of their speeds. When they move in opposite directions, relative speed is the sum of their speeds.

Unit Conversion

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

Crossing Distance

When a train crosses another train, a bridge, or a platform, the total distance covered is the sum of the lengths of the two objects.

Shortcut Trick

Winner's share = Total Voters × Valid % × Winning %

Winner's share = 3,20,000 × 95% × 56%

Winner's share = 3,20,000 × (95 / 100) × (56 / 100)

Winner's share = 32 × 95 × 56 = 1,70,240

∴ The correct answer is 1,70,240.

Alternate Method

Given:

⇒ Total Voters = 3,20,000

⇒ Invalid Votes = 5% of Total

⇒ Winner's Share = 56% of Valid Votes

Calculations:

⇒ Total number of votes = 3,20,000

⇒ Number of valid votes = 95% of 3,20,000

⇒ Valid votes = (95 / 100) × 3,20,000 = 3,04,000

⇒ Winning candidate's votes = 56% of Valid votes

⇒ Winner's votes = (56 / 100) × 3,04,000

⇒ Winner's votes = 56 × 3,040 = 1,70,240

∴ The correct answer is 1,70,240.

Additional Information

Valid and Invalid Votes

Valid votes are those used to determine the winner and loser. Total Votes = Valid Votes + Invalid Votes.

Victory Margin

The margin of victory is the difference between the votes of the winner and the runner-up. Margin = (Winner's % − Loser's %) × Valid Votes.

Successive Percentages

When multiple percentage conditions apply (like invalid then winning share), the final value is found by multiplying successive factors: Final = Initial × (1 − r₁/100) × (r₂/100).

GIVEN:

Percentage of different types of expenditure in 2020 and 2021

CONCEPT USED:

100% represents Total expenditure in both cases respectively

CALCULATION:

Here, the Percentage of expenditure on Education in 2020 = 25%

⇒ Total expenditure in 2020 = Rs960000

Hence,

100% = 960000

25% = 240000

Now, the Percentage of expenditure  on Food in 2021 = 20%

⇒Total expenditure in 2021 = Rs1080000

Hence,

100% = 1080000

20% =  216000

Now, we have to find the percentage of expenditure on food in 2021 to the expenditure on education in 2020

⇒ (216000/240000) × 100 = 90%

Hence, the required percentage is 90%.

FORMULA USED:

$( a +b )^2 = a^2 + b^2 + 2ab$ 

CALCULATION:

Here, $\sqrt{2 + \sqrt3} +$ $\sqrt{2 - \sqrt3}$         Where,  a = $\sqrt{2 +\sqrt3}$ , b = $\sqrt{2 - \sqrt3}$ 

⇒ Hence, on squaring we get,

⇒ $( \sqrt{2 +\sqrt3} + \sqrt{2 - \sqrt3})^2$  =  $( \sqrt{2 + \sqrt3})^2 + (\sqrt{2 - \sqrt3})^2$ + 2 × $( \sqrt{2 + \sqrt3}) ( \sqrt{2 - \sqrt3})$ = $2 + \sqrt3$  +  $2 - \sqrt3$ + 2 × (1)  = 6

⇒ $( \sqrt{2 +\sqrt3} + \sqrt{2 - \sqrt3})^2$  = 6

⇒ $( \sqrt{2 +\sqrt3} + \sqrt{2 - \sqrt3})$   = $\sqrt {6}$

Hence, the required value is $\sqrt {6}$.

FORMULA USED:

BODMAS 

 

 

 

 

 

 

CALCULATION:

6/5 ÷ 6/5 of 6/5 × 5/6 + 9/4 ÷ 4/5 of 15/2 - { 8$5 \over 9$ + ( 4/3 + 5/3 of 6/25)}

⇒ 6/5 ÷ 6/5 of 6/5 × 5/6 + 9/4 ÷ 4/5 of 15/2 - { 8$5 \over 9$  + ( 4/3 + 2/5)}

⇒ 6/5 ÷ 6/5 of 6/5 × 5/6 + 9/4 ÷ 4/5 of 15/2 - { 77/9 + 26/15}

⇒ 6/5 ÷  36/25 × 5/6 + 9/4 ÷  6 - 463/45

⇒ 5/6 × 5/6 + 3/8 - 463/45

⇒ 25/36 + 3/8 - 463/45

⇒ (77/72) - (463/45)

⇒ ( 385 - 3704)/360 = -3319/360 = - 9$79 \over 360$

Hence, the required value is  - 9$79 \over 360$

Shortcut Trick

Identify prime numbers on a dice: 2, 3, and 5.

Sum their corresponding frequencies from the table.

Total frequency of prime numbers = 43 + 33 + 10 = 86.

∴ The correct answer is 86.

Alternate Method

Given Data from Frequency Table:

Frequency of Outcome 1 = 23

Frequency of Outcome 2 = 43

Frequency of Outcome 3 = 33

Frequency of Outcome 4 = 13

Frequency of Outcome 5 = 10

Frequency of Outcome 6 = 28

Total Throws = 150

Prime numbers in the set {1, 2, 3, 4, 5, 6}:

⇒ 1 is neither prime nor composite.

⇒ 2 is a prime number.

⇒ 3 is a prime number.

⇒ 4 is a composite number (2 × 2).

⇒ 5 is a prime number.

⇒ 6 is a composite number (2 × 3).

Calculation for prime number frequency:

⇒ Total prime frequency = Freq(2) + Freq(3) + Freq(5)

⇒ Total prime frequency = 43 + 33 + 10

⇒ Total prime frequency = 86

∴ The correct answer is 86.

Additional Information

Definition of Prime Numbers

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The first few are 2, 3, 5, 7, 11...

Special Case of 1

The number 1 is not considered a prime number because it does not have exactly two distinct divisors; it only has one divisor (1).

Probability of Prime Numbers

The experimental probability P(Prime) = (Total frequency of prime outcomes) ÷ (Total number of trials). In this case, P(Prime) = 86 ÷ 150 = 43/75.

CONCEPT USED:

Divisibility by 5  = If the last digit of a number is either 0 or 5, then that number is divisible by 5

Divisibility by 11= If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11

CALCULATION:

As 55 = ( 5 × 11) Hence, any number will be divisible by 55 only when it is divisible by 5 and 11 both

As, in all the options given here, the last digit is 5. Hence, all the numbers in the options are divisible by 5.

So, the numbers are to be divisible by 55. We have to only check the divisibility of 11.

Considering option (1), we have

⇒ 178765 = ( 1 + 8 + 6) - ( 7 +7 +5) =  ( 15 - 19) = -4, which is not divisible by 11.Hence, 178765 is also not divisible by 11

considering option (2), we have

⇒ 185625 = ( 1 + 5 + 2 ) - ( 8 + 6 + 5) = ( 8 - 19 ) = -11, which is divisible by 11.Hence, 185625 is divisible by 11

Considering option (3), we have

⇒ 171125 = ( 1 + 1 +2 ) - ( 7 + 1 + 5 )= ( 4 - 13) = -9, which is not divisible by 11. Hence, 171125 is also not divisible by 11

Considering option (4), we have

⇒ 164485 = ( 1 + 4 + 8 ) -( 6 + 4 + 5 ) =  ( 13 - 15 ) = -2, which is not divisible by 11. Hence,164485 is also not divisible.

 As the number 185625 is divisible by 5 and 11 both. Hence, it is divisible by 55.

Hence, 185625 is divisible by 55.

FORMULA USED:

$( a^2 - b^2) = ( a +b) ( a - b)$ 

CALCULATION:

Here, we have 99 × 99 -1

Which can be rewritten as $99^2 -1^2$ in the form of $( a^2 - b^2)$

⇒ Where, a = 99 and b = 1

⇒ $( 99 ^2 - 1^2)$ = ( 99 +1 )( 99 -1) = 100 × 98 = 9800

Hence, the required value is 9800.

GIVEN:

Speed = 40km/h

Returning speed = 60 km/h

FORMULA USED:

Distance = Speed × Time 

Average speed = Total Distance travelled/Total time taken

CALCULATION:

Let the total distance travelled by 2d

Here, Speed = 40 km/h, Distance while going = d

⇒ Time = Distance/Speed = d/40 h

Now, returning speed = 60 km/h, Distance while returning = d

⇒ Time = Distance/ Speed = d/60 h

⇒ Total Distance traveled = 2d 

⇒ Total Time taken = ( d/40 + d/60) h = d/24 h

Now, Average = Total Distance / Total time = 2d ÷ (d/24) = 48 km/h.

Hence, the Average is 48 km/h.

GIVEN:

Present population = 54450

Rate increment per year = 10%

FORMULA USED:

Present population = Initial population × $( \frac{100 + R}{100}) ^t$

Where,  R = Rate of increment , t = time in years

CALCULATION:

Here, we have Present population = 54450 , Time = 2 years ,   R = 10%

⇒ Present population = Initial population × $(\frac{100 +R}{100}) ^t$

⇒ 54450 = Initial population × $( \frac{100 + 10}{100}) ^2$

⇒ 54450 = Initial population × 110/100 × 110/100 

⇒ Initial population = 54450 × 10/11 × 10/11 = 45000

Hence, the population two years ago was 45000.

GIVEN:

p = 38

FORMULA USED:

$( a + b) ^3 = a^3 +b^3 + 3a^2b + 3ab^2$

CALCULATION:

Here, we have p( $p^2$ +3p +3) 

⇒ p ( $p^2$ +3p +3) = $p^3 + 3p^2 +3p$              ...................(1)

Now add 1 in equation (1). But if we add 1 extra from our side so to balance it, we have to subtract 1 as well

⇒ $p^3 + 3p^2 +3 p +1 - 1$ 

Now, this can be rearranged as  $(p^3 +1 +3p^2 +3p) -1$

Now, the above equation is in the form of $a^3 +b^3 +3a^2b + 3ab^2$  where a= p and b= 1

⇒ $( p +1)^3 -1$

Now, the value of p is given as p =38

⇒ $( p +1)^3 -1$ = $( 38 +1)^3 -1$ = $39^3 -1$ = ( 59319 -1) = 59318

Hence, the required value is 59318.

GIVEN:

A triangle ABC 

AB = 3.6 cm, BC = 5 cm, CA = 4 cm 

$\angle B = 52.4^\circ ,\angle C = 45.5^\circ$

CONCEPT USED:

Two triangles are congruent if the corresponding sides are equal and the corresponding angles are equal.

CALCULATION:

In triangle ABC,

AB = 3.6 cm

BC = 5 cm

AC = 4 cm

$\angle B = 52.4^\circ$ $\angle C = 45.5 ^\circ$ $\angle A = 82.5^\circ$

Now, considering triangle DEF, we have

  DE = 4 cm , EF = 5 cm , DF = 3.6cm

⇒ Since, all the corresponding sides are equal. Hence, triangle DEF is congruent to triangle ABC by SSS ( Side -Side -Side)

Now, considering triangle GHI we have

  

  Now, here we have HI = 5cm , $\angle H = 52.4^\circ , \angle I = 45.5^\circ$

Since, two angles and one side included between them of triangle GHI is equivalent to the two angles and one side included of the triangle ABC

Hence, triangle GHI is congruent to triangle ABC by ASA( Angle- Side - Angle)

Now, considering JKL, we have,

Now, here we have JK= 3.6 cm, JL = 4 cm $\angle J = 52.4^\circ$ Since, angle included between the two sides of triangle JKL is not equal to the angle included between the two sides of triangle ABC Hence, triangle JKL does not follow the property of SAS (Side - Angle - Side ) So, JKL is not congruent to ABC

Shortcut Trick

For semi-annual compounding, the rate is halved and the number of periods is doubled.

Rate (r) = 10% ÷ 2 = 5% per half-year | Periods (n) = 1 year × 2 = 2.

Effective Rate for 2 periods of 5% = 5 + 5 + (5 × 5)/100 = 10.25%.

Compound Interest (CI) = 8000 × 10.25% = ₹820.

∴ The correct answer is ₹820.

Alternate Method

Given: Principal (P) = ₹8,000, Rate (R) = 10% p.a., Time (T) = 1 year.

Formula Used: Amount (A) = P(1 + r/100)ⁿ; CI = A − P.

⇒ Since interest is compounded semi-annually:

⇒ Rate (r) = 10% ÷ 2 = 5% per half-year.

⇒ Number of periods (n) = 1 × 2 = 2 half-years.

⇒ A = 8000 × (1 + 5/100)²

⇒ A = 8000 × (21/20) × (21/20)

⇒ A = 20 × 441 = 8820

⇒ Compound Interest (CI) = 8820 − 8000 = 820.

FORMULA USED:

Profit = S.P. - C.P.

Profit% = (Profit/C.P.) × 100

Where, S.P = Selling price, C.P. = Cost price 

CALCULATION:

Sudhir sells his items at an 8% profit 

⇒ Profit% =( Profit /C.P.) × 100

⇒ 8 = (S.P. - C.P.)/C.P. × 100 

⇒ 108 C.P. = 100 S.P.  or S.P.= 1.08 C.P.

But when Sudhir uses weights that measure only 720 grams while he claims to measure 750 grams

Hence, C.P. of  720 grams = (720/750) × Original C.P. = 0.96 of original C.P.

So, he is selling goods worth 0.96 at 1.08 C.P. 

⇒ Hence, he makes a profit of ( 1.08 - 0.96)  = 0.12 C.P. on his cost of 0.96 C.P.

⇒ Profit% = ( 0.12/ 0.96) × 100 = 12.5

Hence, actual Profit percentage earned by Sudhir is 12.5%.

FORMULA USED:

Average = Sum of values/No. of values

CALCULATION:

Average of these four  brands in the year 2016-2017

⇒ Average = ( 5 + 4 + 10 + 8) /4 = 6.75

Since, B3 = 10 and B4 = 8 has more values than the average 

Hence, According to the given Question, values more than average will get a star 

⇒ B3 and B4 get a star.

Average of these four brands in the year 2017-2018

⇒ Average = ( 7 + 9 + 11 + 10 ) /4 = 9.25

Since, B3 = 11 and B4 = 10 

Hence, B3 and B4 again gets a star

Average of these four brands in the year 2018-2019

⇒ Average = (12 + 11 + 10 +9)/4 = 42/4 = 10.5

Since, B1 = 12 and B2 = 11 

⇒ B1 and B2 gets a star

Average of these four brands in the year 2019-2020

⇒ Average = ( 14 + 15 + 12 + 15)/4 = 14

Since, B2 = 15 and B4 = 15

⇒ B2 and B4 gets a star

⇒ Total star gets by B1 = 1

⇒ Total star gets by B2 = 2

⇒ Total star gets by B3 = 2

⇒ Total star gets by B4 = 3

So, B1 gets a minimum number of stars

Hence, B1 gets a minimum number of stars from 2016-2020.

GIVEN:

Length = 12m

Breadth = 6 m

Height = 50cm = 0.5 m

FORMULA USED:

The volume of the cuboid = Length × Breadth × Height 

CALCULATION:

Here, Length = 12m , Breadth = 6m , Height = 0.5 m

⇒ Volume = Length × Breadth × Height = 12 × 6 × 0.5 = 36 m3

Hence, the required Volume is 36 m³.

GIVEN:

Copper : Bronze = 3 :4 

Total alloy = 350 gram

Final ratio after the addition of quantity in Copper = 4:3

CALCULATION:

Here, Copper : Bronze = 3:4 

Let, the Copper and Bronze be 3x and 4x  and Total alloy given = 350 gram

⇒ (3x + 4x) = 350

⇒ 7x = 350 ⇔ x = 50 gram

⇒ Copper = 3x = ( 3 × 50) = 150 gram , Bronze = 4x = ( 4 × 50 ) = 200 gram

Now, let the quantity added to the copper be y

 According to the given Question,

⇒ (150 + y) : 200 = 4 :3 

⇒ 800 = 450 + 3y

⇒ 3y = 350 ⇔ y = 350/3 = 116.67 gram

Hence, the required quantity to be added to Copper is 116.67 grams.

GIVEN:

A = $30^\circ$

FORMULA USED:

sin$30^\circ$ = 1/2

cosec$30^\circ$ = 2 

cot$30^\circ$ = $\sqrt3$

CALCULATION:

$6 sinA +9 cosec A - cot^2A \over 12 sinA$

⇒ As A = $30^\circ$ 

⇒ sin$30^\circ$= 1/2 , cosec$30^\circ$ = 2, cot$30^\circ$ = $\sqrt3$ 

⇒ $6 \times1/2 + 9 \times 2 - (\sqrt3)^2 \over 12 \times 1/2$ = 18/6 = 3

Hence, the required value is 3.

GIVEN:

Dimensions of cuboid = 15m, 22m and 5m

FORMULA USED:

The volume of a cuboid = Length × Breadth × Height 

CALCULATION:

Here, Length = 15m , Breadth = 22m and Height = 5m

⇒ Volume = Length × Breadth × Height 

⇒ Volume = 15 × 22 × 5 = 1650 m³

Hence, Volume of a cuboid is 1650 m³.

GIVEN:

Minimum marks required to pass = 340

CALCULATION:

Here, the minimum marks needed to pass = 340 marks 

⇒ A student secured = 244 marks 

⇒ Student failed by marks = Difference = ( 340 - 244 ) = 96 marks

But According to the given Question, a Student failed by 12% of the total marks 

⇒ 12% of the total marks = 96

⇒ 12/100 of the total marks = 96

⇒ Total marks = 96 × 100 /12 = 800

Hence, the maximum aggregate a student can get is 800.

GIVEN:

Area of right-angle triangle = 42 $cm^2$

Length of one side = 10 cm

FORMULA USED:

Area of right-angle triangle = 1/2 × b × h

Where b and h are the two sides containing the right angle respectively

CALCULATION:

Here, the Area of the right-angle triangle = 42 

⇒ Length of one of its two sides = 10

⇒ Area = 1/2 × b × h, Where b and h are two sides containing a right angle 

⇒ 42 = 1/2 × 10 × Length of other side

⇒ Length of the other side = 42/5 = 8.4 cm

Hence, Length of the other side is 8.4 cm.

GIVEN:

A completes the work = 5 days

B completes the work = 10 days

A and B work alternately

CALCULATION:

Complete the work in 5 days

⇒ A's 1 day work = 1/5 

B complete the work in 10 days

⇒ B's 1 day work = 1/10

⇒ ( A + B )'s work in 2 days =  ( 1/5 + 1/10)= 3/10 

In 3 pairs of 2 days they will complete 3/10 × 3 = 9/10

⇒ Hence, after 3 × 2 = 6 days, 1 - 9/10 = 1/10 work is left which will be done by A alone.

⇒ A  does 1 work in 5 days 

⇒ A does 1/10 work in 5 × 1/10 = 1/2 days

⇒ Total number of days =  6 + 1/2 = 6 $1\over 2$days

Hence, they will complete the work in 6 $1\over 2$ days.

GIVEN:

Initial discount = 20%

additional discount = 10%

Selling price = Rs54000

FORMULA USED:

S.P. = ( 1-d1/100) × ( 1-d2/100) × M.P.

Where, S.P. = Selling price 

M.P. = Marked price or listed price

d1 and d2 are successive discounts respectively

CALCULATION:

Here S.P. = Rs54000 ,  d1 = 20% and d2 = 10%

⇒ S.P. = ( 1- d1/100) × ( 1- d2/100) × M.P.

⇒ 54000 = ( 1 - 20/100 ) × ( 1- 10/100) × M.P.

⇒ 54000 = ( 1-1/5) × ( 1- 1/10) × M.P.

⇒ 54000 = 4/5 × 9/10 × M.P.

⇒ M.P. = Rs75,000

Hence, the Marked price of the listed price is Rs75,000.

FORMULA USED:

Mean proportion between two numbers a and b = $\sqrt {ab}$

CALCULATION:

First, take two numbers i.e. 9 and 16

Now, mean proportion = $\sqrt{ab}$ where a = 9 and b = 16

⇒ Mean proportion  = $\sqrt{9 \times 16}$ = 3 × 4 = 12

Now, take the other two numbers  i.e. 4 and 9

⇒ Mean proportion = $\sqrt{4 \times 9}$ = 2 × 3 = 6

⇒ Difference = ( 12 - 6 ) = 6

Hence, the required difference is 6.

The correct answer is Himalayan mountain range.

Key Points

• The Himalayas stretch across the northeastern portion of India.
• They cover approximately 1,500 mi (2,400 km) and pass through the nations of India, Pakistan, Afghanistan, China, Bhutan, and Nepal.
• The Himalayan range is bordered in the northwest by the Karakoram and the Hindu Kush ranges.
• The Himalayas have profoundly shaped the cultures of South Asia and Tibet.

Additional Information

• The Purvanchal Range or Eastern Mountains is a sub-mountain range of Himalaya, covering an area of about 94,800 km2 with a population of over four million incorporates Nagaland.
• The Aravalli Range (also spelled Aravali) is a mountain range in Northern-Western India, running approximately 670 km (430 mi) in a south-west direction, starting near Delhi, passing through southern Haryana, Rajasthan and ending in Ahmedabad Gujarat.
• The Pir Panjal Range (Kashmiri: Pīr Pantsāl) is a group of mountains in the Lesser Himalayan region.
• The Himalayas show a gradual elevation towards the Dhauladhar and Pir Panjal ranges.

​

The correct answer is Right to Constitutional Remedies.

Key Points

• It is one of the fundamental rights listed in the Constitution that each citizen is entitled to.
• It entitles the citizens of India to move the Supreme Court or High Courts for the enforcement of these rights.
• In the Constituent Assembly debate, Dr. B.R Ambedkar said that Article 32 is the heart and soul of the Constitution.
• Article 32 falls under Part III of the Constitution which includes the fundamental rights of individuals.

Additional Information

• Article 32 of the UCMJ requires any service member accused of violating any Punitive Article of the UCMJ to undergo a preliminary hearing.
• An article 32 hearing is required before a defendant can be referred to a general court-martial, in order to determine whether there is enough evidence to merit a general court-martial.
• An Article 32 hearing is a proceeding under the united States Uniform Code of Military justice, similar to that of a preliminary hearing in civilian law.
• The Right against Exploitation is enshrined in Articles 23 and 24 of the Indian Constitution.