SSC CHSL Tier-1 2021: Official Paper (Held On : 9 June 2022 Shift 1) (Previous Year Paper)

The correct answer is "Comparison"

Key Points Let's see the correct spelling and understand what it means:

• Comparison - an act of comparing; a statement in which people or things are compared
• Eg. Put the new one and the old one side by side, for comparison.​​**

Additional Information Let's here understand the meaning of the whole sentence:

• Comparison with others is not always good:
• Comparing yourself to others is a recipe for unhappiness.
• You can be anything but you can't be everything.
• There is one thing that you're better at than other people: being you. This is the only game you can really win.

The correct answer is "there was corruption"

Key Points We will here see the grammatical error with the help of the whole sentence:

• As long as there was corruption in India, there can be no progress.​
• "is" should be used in place of "was"

Correct sentence: As long as there is corruption in India, there can be no progress.

Additional InformationNow let's understand the correct sentence formation:

• It should be there is corruption instead of there was corruption.
• We use "is" in the present tense whereas we use "was" in the past tense.
• More specifically, we use "is" in present continuous tense
• Eg. He is eating food.
• On the other hand, the verb "was" is used in past continuous tense
• Eg. The bird was flying to its nest.

The correct answer is "have asked to be transferred"

Key Points

 Let's see the correct sentence formation:

• I don’t get on with the new boss, so I have asked to be transferred to another branch of the company.​

Additional InformationLet's how the correct sentence formation happens:

• It should be have asked to be transferred instead of have asked to transferring
• Grammatically speaking, "be" is an auxiliary verb, and "to be" is its infinitive format.
• Regarding the meaning, both kind of mean the same.
• They can both convey the existence or occurrence of something, possessing a quality, or just simply show a particular tense without having an independent meaning.
• Talking about "ed" and "ing" in the words "transferred" and transferring"
• Adjectives ending in -ed show what has happened to a person or thing.
• Adjectives ending in -ing show the effect which something has on a person or thing.

The correct answer is "Synonym"

Key Points Let's understand the given statement with the help of an example:

• A word that has the same or nearly the same meaning as another word in the same language - Synonym
• ​Eg. Ideal - best possible; without fault​

Additional InformationLet's understand the other words with their meanings:

• Metonymy - one word or phrase is substituted for another with which it's closely associated
• Eg.  "crown" for "royalty"
• Antonym - a word that means the opposite of another word
• Eg. Hot - Cold
• Toponym - a place name, especially one derived from a topographical feature
• Eg. United States, North America, Atlanta, and California are all toponyms. Even names of made-up places like Narnia and Atlantis are toponyms

The correct answer is "As she kept walking towards me, my heart skipped a beat"

Key Points Let's see the correct sentence:

• As she kept walking to me, my heart skipped a beat - As she kept walking towards me, my heart skipped a beat​

Additional InformationLet's see how both the words are used:

• "Towards" is used for a particular direction
• Eg. you go towards your school ( not sure whether or you arrived at school)
• "To" is a bit different term than towards, it shows surety that you've made it to school or you will make it to school.
• So technically you may not use them interchangeably.

The correct answer is "Treacherous person"

Key Points

 Here we will learn about the given idiom:

• Snake in the grass - One who feigns friendship with the intent to deceive.
• Eg. Did you hear that Daria's best friend stole money from her bank account? What a snake in the grass.

Additional Information Let's learn some other idioms:

• Snake a drain - To clear a clogged drain using a long, flexible auger (commonly called a "drain snake" or "plumber's snake").
• Eg. It made me sick paying so much for a plumber to come clear the blockage. I'm just going to buy an auger so I can snake the drain myself next time!​​

The correct answer is "Exggibitionistic"

Key Points Here let's look at the correct word:

• Exhibitionist which means a person who behaves in ways intended to attract attention or display their powers, personality, etc. (एक व्यक्ति जो ध्यान आकर्षित करने या अपनी शक्तियों, व्यक्तित्व आदि को प्रदर्शित करने के इरादे से व्यवहार करता है)
• Eg. I have an exhibitionist streak that comes out on the dance floor.

Additional Information Let's look at the meaning of the other words:

• Meritorious - deserving great praise (बड़ी प्रशंसा के पात्र)
• Eg. An award for meritorious service
• Traumatic - severe and lasting emotional shock and pain caused by an extremely upsetting experience, or a case of such shock happening. (गंभीर और स्थायी भावनात्मक आघात और दर्द)
• Eg. He had psychotherapy to help him deal with his childhood traumas.
• Stigmatic - relating to a stigma or stigmas, in particular constituting or conveying a mark of disgrace (विशेष रूप से अपमान का संदेश देना)
• Eg. The less stigmatic offence of manslaughter.

The correct answer is "Lose one’s temper"

Key Points

 Let's look at the given idiom:

• Get one’s dander up (idiom) - To become angry, hostile, defensive, or irritable.
• Eg. The boxer finally got his dander up and went after his opponent with a vengeance.”

Additional Information Let's see some other related idioms:

• Get on one's case (idiom) - To start bothering someone about something.
• Eg. Oh, don't worry—I'll get on Pat's case until he agrees to go to the interview. It's too good an opportunity to pass up.
• Get on one's feet (idiom) - To stand up or rise.
• Eg. After the gym teacher made a few announcements, we all got on our feet and began running laps.

The correct answer is "The computer has not been used by Usnis for weeks"

Key Points​Let's see the passive formation:

• Usnis has not used the computer for weeks (passive voice) 
• The computer has not been used by Usnis for weeks ​

Additional InformationLet's learn about passive voice:

• Passive voice -  The passive voice, the subject is acted upon by some other performer of the verb
• In a passive voice construction, the grammatical subject of the clause receives the action of the verb.
• The formula:
• [subject]+[some form of the verb to be]+[past participle of a transitive verb]+[optional prepositional phrase]
• Eg. The ball was kicked by Chester.
• That last little bit—“by Chester”—is a prepositional phrase that tells you who the performer of the action is. But even though Chester is the one doing the kicking, he’s no longer the grammatical subject. A passive voice construction can even drop him from the sentence entirely
• Eg. The ball was kicked.

The correct answer is "will try his luck"

Key Points

 Here let's see the whole sentence:

• All the young boys and girls in the family will try his luck in the card games tonight.​
• It should be "their" instead of "his"
• Their is used instead of his or her, ‘his’ for more than one subject.

Correct sentence: All the young boys and girls in the family will try their luck in the card games tonight.

The correct answer is "Haul"

Key Points Let's learn about the idiom:

• Haul -  a large amount of something that has been stolen, caught, collected,
• For eg - he thieves escaped with a haul of antiques worth over £3 million.
• Therefore, based on the above given points, Option 4 is the correct answer. 

​​​

Additional InformationLet's learn some other one word substitution:

• Host - a plant or animal that another plant or animal lives on as a parasite
• Horde - a large group of people
• Heap - an untidy pile or mass of things

The correct answer is "death"

Key Points Let's see the whole sentence:

• The world is constantly living in risk, uncertainty and fear of **"death"**​

Additional InformationLet's learn a new word for this definition:

• Thanatophobia is an extreme fear of death or the dying process. You might be scared of your own death or the death of a loved one. Psychotherapy can help most people overcome this disorder.

The correct answer is "garisioned"

Key Points

 Here let's see the correct spelling:

• It should be Garrisoned instead of Garisioned​

Additional Information

Let's learn the meaning of the given word:

• Garrisoned - provide (a place) with a group of troops.
• Eg. Air reconnaissance showed the Germans had not garrisoned the island

The correct answer is "BDCA"

Key Points Let's see the correct order of given sentences:

• Since ancient times, India has been known for its great educational system.
• The country's first university, Nalanda, was founded over 1,000 years ago.
• Today, there are thousands of schools in India, many of which are among the best in the world.
• Thus, children in India have the unique opportunity to receive a world-class education.​

The correct answer is "The chief cause of pneumonia is a microbe."

Key Points

 Here let's see the meaning of the given word:

• Here the sentence is talking about pneuonomia
• Pneumonia is an infection that inflames the air sacs in one or both lungs. The air sacs may fill with fluid or pus (purulent material), causing cough with phlegm or pus, fever, chills, and difficulty breathing. A variety of organisms, including bacteria, viruses and fungi, can cause pneumonia.

Additional Information

• Pneumonia can range in seriousness from mild to life-threatening. It is most serious for infants and young children, people older than age 65, and people with health problems or weakened immune systems.
• Common causes of bacterial pneumonia are Streptococcus pneumoniae (pneumococcus) and, especially in kids, Mycoplasma pneumoniae.

The correct answer is "immune"

Key Points Here let's learn about the given antonym:

• Susceptible - easily influenced or harmed by something:
• Eg. She isn't very susceptible to flattery.
• Immune - protected against a particular disease by particular substances in the blood:
• Eg. Most people who've had chickenpox once are immune to it for the rest of their lives

Additional InformationLet's learn the sentence meaning:

• What is the President immune from?
• Presidential immunity - In 1982, the Supreme Court held in Nixon v. Fitzgerald that the president enjoys absolute immunity from civil litigation for official acts undertaken while he or she is president.

The correct answer is "Abjure"

Key Points Here let's see the meaning of the gievn word:

• Renounce - to say formally or publicly that you no longer own, support, believe in, or have a connection with something:
• Eg. Her ex-husband renounced his claim to the family house.
• Abjure - to say formally or publicly that you no longer agree with a belief or way of behaving
• Eg. He abjured his religion/his life of dissipation.

Additional Information Let's learn some other word meanings:

• Embrace - to accept something enthusiastically
• Eg. This was an opportunity that he would embrace.
• Ignore - to intentionally not listen or give attention to
• Eg. She can be really irritating but I try to ignore her.
• Overlook - to provide a view of, especially from above
• Eg. Our hotel room overlooked the harbour.

The correct answer is "Exploistation"

Key Points Here let's see the correct spelling:

• Exploitation - the use of something in order to get an advantage from it
• Eg. Britain's exploitation of its natural gas reserves began after the Second World War.

Additional Information Let's learn some other word meanings:

• Immigration - the act of someone coming to live in a different country
• Eg. There are strict limits on immigration (into the country).
• Administrator - the arrangements and tasks needed to control the operation of a plan or organization
• Eg. Teachers complain that more of their time is taken up with administration than with teaching.
• Admission - the act of agreeing that something is true, especially unwillingly
• Eg. Her silence was taken as an admission of guilt/defeat.

The correct answer is "plays fast and loose"

Key PointsLet's see the correct substitution:

• A dishonest employee plays fast and loose with his boss.​

Additional InformationLet's see how the sentence formed:

• Plays fast and loose - behave irresponsibly or immorally.
• Here this sentence means that if the employee is dishonest or mean he/she will behave rude and irresponsible with his boss

The correct answer is "The member nations formulated a new policy for peace and tolerance in the Universal Council meeting yesterday."

 Key Points Let's see the correct sentence with active voice:

A new policy for peace and tolerance was formulated by the member nations in the Universal Council meeting yesterday (active voice) - The member nations formulated a new policy for peace and tolerance in the Universal Council meeting yesterday.​​

Additional Information Let's see the rules of active voice:

• In the active voice, the subject is performing an action:
• Eg. The dog chases the ball.
• Notice how the subject, dog, is performing the action, chase, on the target of the action, ball. This is a simple, direct example of the active voice.

The correct answer is, 'social' 

Key Points

• Social means related to society or relationships with other people.
• Example - Knowing one's colleagues is a social thing.
• The correct sentence would be, The term 'health' refers to human beings' state of physical, psychological, and social well-being

 Additional Information

• Political means related to politics or government.
• Example - David Murphy is a political figure.
• Cultural means related to traditions and beliefs.
• Example - This is a part of their cultural heritage.
• Economic means related to economics or profit-making.
• Example - The country is in an economic meltdown.

The correct answer is, 'inextricably'

Key Points

• Inextricably means cannot be separated.
• Example - Humans and Technology are inextricably linked together.
• The correct sentence would be, Health and fitness are inextricably linked.

 Additional Information

• Diametrically means completely or directly.
• Example - These two girls diametrically don't follow the school rules.
• Explicitly means plain or clear, leaving no doubt.
• Example - The rules were stated explicitly.
• Solely means simple or exclusively.
• Example - This is solely my fault.

The correct answer is, 'fitness'

Key Points

• Fitness means being healthy and in good shape.
• Example - Jogging every day is good for fitness.
• The correct sentence would be, Health and fitness are inextricably linked and we must concentrate on maintaining our health and fitness.

 Additional Information

• Flatness means a surface without raised areas.
• Example - The flatness of this desert amazes me.
• Fineness means the state of something staying real or pure.**
• Example - The fineness of these swords made them valuable even during the old era.
• Fatness means having excessive weight.
• Example - The fatness of this toe raises doubts.

The correct answer is, 'prioritise'

Key Points

• Prioritise means giving more attention and importance.
• Example - Sam prioritises his work over his health.
• The correct sentence would be, If we need to be healthy, we must prioritise our wellness.

Additional Information

• Perceive means to understand or view.
• Example - Each of these people will perceive this message differently.
• Consider means to examine or think about.
• Example - The boss is considering Emma for the new role.
• Foresee means to predict or to anticipate.
• Example - I can foresee wondering things in your way, waiting for you.

The correct answer is, 'must'

Key Points

• Must is used for obligations and necessities.
• Example - I must have a proper job before moving to Canada.
• The correct sentence would be, We must start taking care of ourselves because health is wealth.

Additional Information

• May is used to express higher possibilities and for permissions.
• Example - It is sunny now, it may stay this way.
• Could is used as a past form of can and also, for the polite version of can.
• Example - When I was little, I could do the handstand.
• Can is used for abilities and permissions.
• Example - I can run 100 meters in 12 seconds.

Here, the alphabets and their positions are shown below:

Logic: The even position letters are increased by 1 and odd letters are as it is. 

 'BREAK’ is written as 'BSEBK' 

And,

'FAST' is written as 'FBSU'

Similarly,

'BREAKFAST' is written as '?'

Hence, the code language is 'BSEBKGATT' for the given word.

Here the pattern is:

Hence, the next number is '229'.

Here, we need to apply the combination of signs to get the correct equation.

Given: 265641749730

First we will check options one by one as below:

1) +, ÷, -, + ,÷, =

$\Rightarrow$ 26 + 56 ÷ 4 - 17 + 49 ÷ 7 = 30

Applying BODMAS rule, we will get, 

$\Rightarrow$ 26 + 14 - 17 + 7 = 30

$\Rightarrow$ 30 = 30, this is possible

2) -, +, ×, +, =, -

$\Rightarrow$ 26 - 56 + 4 × 17 + 49 = 7 - 30

Applying BODMAS rule, we will get, 

$\Rightarrow$ 26 - 56 + 68 + 49 = 7 - 30

$\Rightarrow$ 87 ≠ -23, this is not possible

3) +, -, = ,×, ÷, -

$\Rightarrow$ 26 + 56 - 4 = 17 × 49 ÷ 7 - 303

Applying BODMAS rule, we will get, 

$\Rightarrow$ 26 + 56 - 4 = 17 × 7 - 303

$\Rightarrow$ 26 + 56 - 4 = 119 - 303

$\Rightarrow$ 78 ≠ -184, this is not possible

4) -, ÷, +, −, ×, =

$\Rightarrow$ 26 - 56 ÷ 4 + 17 - 49 × 7 = 30

Applying BODMAS rule, we will get,

$\Rightarrow$ 26 - 14 + 17 - 49 × 7 = 30

$\Rightarrow$ 26 - 14 + 17 - 343 = 30

$\Rightarrow$ -314 ≠ 30, this is not possible

Hence, the combination of signs ' +, ÷, -, + ,÷, =' is used to get correct balanced equation.

The least possible Venn diagram is given below:

Conclusion:

I. Some chairs are beds → Follow → (As some chairs are racks and all racks are beds. So some chairs will be definitely beds)

II. All beds are racks → Does not follow → (As all racks are beds and so some beds are racks. So this is not possible)

III. All trays are chairs → Does not follow → (As some chairs are racks and all racks are beds and all beds are trays. So some trays are racks. And so, some trays are chairs is possible but not all. This is not possible)

Hence, the 'conclusion I' is true.

Here, the alphabets and their positions are shown below:

“ABILITY” is written as “BDLLITY” 

And,

“CONDUCT” is written as “DQQDUCT”

Similarly,

“DISPLAY” be written

Hence, the code language is 'EKVPLAY' for the given word.

The pattern followed here is:

Here, we have two dices given with a common face 1.

2 → 4

5 → 6

3 → 1

As we can see, all the faces are seen except the number 3.

Thus, number 3 will be the opposite of number 1.

Hence, the correct answer is "3".

Here, we are given the word and we need to find the mirror image of it.

First keep in mind that, in the mirror image, the first letter will be the last letter of the given word. Also, the size of the letters will not change i.e. capital letters will appear capital only.

The mirror image of the given word will be:

Detailed Explanation:- 

• The line MN is the mirror.
• The word "

" ends with "

". So, the mirror image will start with "

" → Option 1 is eliminated.

• In the letters is "

" are used and so the letters should not interchange their positions and so mirror image will be '

'. → Option 2 eliminated.

• In the letters is " UA " are used and so the letters should not interchange their positions and so mirror image will be 'AU'. → Option 3 eliminated.

Hence, 'Option 4' 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.

BODMAS rule is:

We have the equation given as (14 O 7) P 41 M (26 O 3) P (176 N 2) = ?

Using this above, decode it, we will get, 

= (14 × 7) + 41 - (26 × 3) + (176 ÷ 2) 

Applying BODMAS rule, we will get,

= (14 × 7) + 41 - (26 × 3) + 88

= 98 + 41 - 78 + 88

= 149

Hence, the answer is '149' for the given equation. .

The pattern followed here is:

The 1^st number is added by cube of 6 to get the next consecutive number and the 2^nd number is subtracted by cube of 5 to get the next consecutive number and this process is repeated.

Hence, the missing number is 328.

The pattern followed here is:

Logic: The middle letter remains at it place and the 1^st three letters and last three letters interchange their positions.

LARGEST : ESTGLAR 

and

QUALITY : ITYLQUA

 

Similarly,

QUICKLY : ?

Hence, the code will be 'KLYCQUI' for the given word.

Here, the alphabets and their positions are shown as below:

The logic here is:

Hence, the code language is 'UILD' for the missing place.

The figure is given below:

The shaded portion is the embedded figure.

Hence, 'option 2' is the correct answer.

The logic here is:

Logic: (First number)² + 5 = Second number.

So, we will check the options one by one: 

1. 6 : 41 ⇒ (6)² + 5 = 36 + 5 = 41

2. 4 : 21 ⇒ (4)² + 5 = 16 + 5 = 21

3. 8 : 70 ⇒ (8)² + 5 = 69 ≠ 70

4. 7 : 54 ⇒ (7)² + 5 = 49 + 5 = 54

Hence, the number pair '8 : 70' is the odd one out.

The pattern here is:

1. The triangle is moving from one corner to another and the point is moving in an anticlockwise direction. Also, the middle image is moving in a clockwise direction.

2. we can say that the missing image will look the same as that in figure 1.

Thus, options 2 and 3 are eliminated because the triangle is in the wrong place and facing in the wrong direction too.

And, option 4 is eliminated because the middle image is placed wrong. 

Hence, option 1 is the correct answer.

BODMAS Rule is:

Given : (132 ÷ 12) + (6 × 11) + 18 - (64 ÷ 16) × 8 = 70

First, we will check all the options as below:

1) 11 and 8

$\Rightarrow$ (132 ÷ 12) + (6 × 8) + 18 - (64 ÷ 16) × 11 = 70

Applying BODMAS rule we will get,

$\Rightarrow$ 11 + (6 × 8) + 18 - 4 × 11 = 70

$\Rightarrow$ 11 + 48 + 18 - 44 = 70

$\Rightarrow$ 33 ≠ 70, this is not possible

2) 12 and 6

$\Rightarrow$ (132 ÷ 6) + (12 × 11) + 18 - (64 ÷ 16) × 8 = 70

Applying BODMAS rule we will get,

$\Rightarrow$ 22 + (12 × 11) + 18 - 4 × 8 = 70

$\Rightarrow$ 12 + 132 + 18 - 32 = 70

$\Rightarrow$ 130 ≠ 70, this is not possible

3) 8 and 6

$\Rightarrow$ (132 ÷ 12) + (6 × 11) + 18 - (64 ÷ 16) × 8 = 70

Applying BODMAS rule we will get,

$\Rightarrow$ 11 + (6 × 11) + 18 - 4 × 8 = 70 

$\Rightarrow$ 11 + 66 + 18 - 32 = 70

$\Rightarrow$ 63 ≠ 70, this is not possible

4. 12 and 11

$\Rightarrow$ (132 ÷ 11) + (6 × 12) + 18 - (64 ÷ 16) × 8 = 70

Applying BODMAS rule we will get,

$\Rightarrow$ 12 + (6 × 12) + 18 - 4 × 8 = 70

$\Rightarrow$ 12 + 72 + 18 - 32 = 70

$\Rightarrow$ 70 = 70, this is possible

Hence, the two numbers '12 and 11' are interchanged to get the correct equation.

Here, the pattern is: 

Logic: first number × 5 + 7 = Second number

1. 12 : 67

⇒ 12 ×  5 + 7 = 60 + 7 = 67

And,

2. 21 : 112

⇒ 21 ×  5 + 7 = 105 + 7 = 112,

Similarly,

3. 17 : ?

⇒ 17 × 5 + 7 = 85 + 7 = 92

Hence, the missing term is 92.

The logic here is:

Logic: first number × 4 + (first number - 7) = Second number

17 : 78 $\Rightarrow 17 × 4 + (17 - 7)$ = 68 + 10 = 78

15 : 68 $\Rightarrow 15 × 4 + (15 - 7)$ = 60 + 8 = 68

Thus, we will have for

28: ? $\Rightarrow 28 × 4 + (28 - 7)$ = 112 + 21 = 133

Hence, the missing number is 133.

Here, we are given the word and we need to find the mirror image of it.

1. First keep in mind that, in the mirror image, the first letter will be the last letter of the given word. Also, the size of the letters will not change i.e. capital letters will appear capital only.

2. As we can see the given word ends with 2, so the mirror image will have 2 as the first number. 

3. Number 2 is the water image in option 4, so option 4 is eliminated.

4. Letter a is the water image in options 1 and 3, so both the options are eliminated.

Thus, we have only one option left i.e. option 2.

Hence, the mirror image of the given word is 'option 2'.

Logic : [(First number × 6) - Second number] ÷ 2 = Third number

• First row - 14, 64, 10

⇒ [(14 × 6) - 64] ÷ 2 

⇒ [84 - 64] ÷ 2  

⇒ 20 ÷ 2 = 10

• Second row - 7, 18, 12

⇒ [(7 × 6) - 18] ÷ 2 

⇒ [42 - 18] ÷ 2 

⇒ 24 ÷ 2 = 12

Similarly, third row - 23, 88, ?

⇒ [(23 × 6) - 88] ÷ 2

⇒ [138 - 88] ÷ 2

⇒ 50 ÷ 2 = 25

Hence, 'option 4' is the correct answer.

Here, the alphabets and their positions are shown below:

The logic here is:

Hence, the code language is 'AKWV' for the missing place.

The logic here is:

Logic: (first number)² × 3 - 1 = Second number

3 : 26 $\Rightarrow 3^2 × 3 -1$ = 26

5 : 74 $\Rightarrow 5^2 × 3 -1$ = 74

Thus, for the missing term, we have:

7 : ? $\Rightarrow 7^2 × 3 -1$ = 146

Hence, the number 146 is the missing term.

The logic here is:

For the word 'COUNTY' is written as 'YTNUOC' :

And, for the word 'DEFEAT' is written as 'TAEFED' :|

So, we have for FAMILY is written as YLIMAF :

Thus, the code language is 'YLIMAF' for the given word.

Hence, the correct answer is 'option 1'.

Here, we have given that:

13 Jan 2006 is Friday.

Since 2007 is an ordinary year = 1 odd day and 2008 is a leap year = 2 odd days

So, 13 Jan 2008 is Friday + 1 + 1 = Sunday (As February is not count)

Next, we will count the remaining days of the month of the year 2008 as:

= 18 (Jan) + 29 (Feb) +  28 (Mar) = 75 = 75/7= 10 weeks and 5 are remaining.

Thus, 28 March 2008 = Sunday + 5 =  Friday

Hence, the day will be Friday  28 March 2008.

According to the table we have:

According to the statements, we have the family tree as:

Hence, the lady is sister of Vishal.

Here, we are given the word and we need to find the mirror image of it.

1. First keep in mind that, in mirror image the first letter will be the last letter of the given word. Also, the size of the letters will not change i.e. capital letters will appear capital only.

2. As we can see the given word ends with y, so the mirror image will have y as the first letter. But we see that, there is no change in option 2 and in option 4 it is the water image. So, both are eliminated.

3. Letter t is water image in option 3, so option 3 is also eliminated.

Thus, we have only one option left i.e. option 1.

Hence, the mirror image of the given word is 'option 1'.

Given:

2z = x + y

Calculation:

⇒ $x\over x- z$ + $y \over y - z$ 

⇒ $xy - xz + xy - zy \over xy - xz - zy +z^2$        (Taking LCM of denominators)

⇒ $2xy - z (x + y) \over xy - z (x + y) +z^2$

⇒ $2xy - 2z^2 \over xy - 2z^2 +z^2$        ( $x +y =2z$)

⇒ $2 (xy - z^2 ) \over xy - z^2$

⇒ 2

 Hence, the value of $\frac{x}{x - z} + \frac{y}{y - z}$ is 2

Given:

Marked price = C.P + 30 % of C.P 

Discount = 20 %

Concept Used:

Selling Price = Marked Price – Discount 

Profit = S.P – C.P

Calculation:

⇒ Let the cost price be 100

⇒ Marked price = 100 + ( $\frac{30}{100}$ × 100 ) = Rs. 130

⇒ Discount percent = 20 %

⇒ Discount = 20 % of marked price = $\frac{20}{100} \times 130$ = Rs. 26

⇒ Selling Price = Marked Price – Discount = 130 – 26 = Rs. 104

⇒ Profit = S.P – C,P = 104 – 100 = Rs. 4

⇒ Profit Percent = $Profit\over CP$ × 100 = $\frac{4}{100}$ ×100 = 4%

 Hence, the profit percent shopkeeper make is 4 %

Given:

Ram covered 200 km in 10 hours,

Firstly he started with bike of speed 15 km/h and then with a car if speed 25 km/h

Calculations:

let the distance covered by bike is x km, then distance covered by car is (200 - x)km.

Now, according to the Question, 

$\frac{x}{15}$ + $\frac{200 - x}{25}$= 10

⇒$\frac{5x + 600 - 3x}{75}$ = 10

⇒2x + 600 = 750

⇒2x = 150

⇒ x = 75 km

and distance covered by car is 200 - 75 = 125 km

So, the ratio if distance covered by bike and car is 75 : 125 = 3 : 5

Hence, the required ratio is 3 : 5.

Given:

P = 227

Q = 232

P varies directly as Q

Concept Used:

p = k × q, where k is the constant of variation

Calculation:

⇒ As given in the question, P varies directly to Q, therefore

⇒ P = K × Q

⇒ 227 = K × 232

⇒ K =  

⇒ Putting the value in the formula,

⇒ P = $\frac{227}{232}$ × Q

Since, Q = 116, therefore

⇒ P = ​$\frac{227}{232}$ × 116

⇒ P = $\frac{227}{2}$ = 113.5

Hence, the value of P is 113.5

Given:

x – y = 25

xy = 78

Concept Used:

$( x - y )^2 = x^2 +y^2 -2xy$

Calculation:

⇒ x – y = 25

⇒ On squaring both sides, we get

⇒ $x^2 + y^2 -2xy =625$

⇒ Putting the given values,

⇒ $x^2 +y^2 - 2 \times 78 = 625$

⇒ $x^2 + y^2 = 625 + 156$

⇒ $x^2 +y^2 = 781$

 Hence, the value of $x^2 + y^2$ is 781

Shortcut Trick

When a solid is melted, Volume of Cube = Volume of Cuboid

⇒ (6 × ³√4)³ = 12 × 9 × h

⇒ 216 × 4 = 108 × h ⇒ h = 8 cm

Longest diagonal = √(l² + b² + h²) = √(12² + 9² + 8²)

⇒ Longest diagonal = √(144 + 81 + 64) = √289 = 17 cm.

∴ The correct answer is 17 cm.

Alternate Method

Given:

Side of the cube (a) = 6 × ³√4 cm

Length of the cuboid (l) = 12 cm

Breadth of the cuboid (b) = 9 cm

Formula Used:

Volume of a cube = a³

Volume of a cuboid = l × b × h

Longest diagonal of a cuboid = √(l² + b² + h²)

Calculations:

⇒ Since the solid metallic cube is melted and recast into a cuboid, their volumes will be equal.

⇒ Volume of Cube = Volume of Cuboid

⇒ a³ = l × b × h

⇒ (6 × ³√4)³ = 12 × 9 × h

⇒ 6³ × (³√4)³ = 108 × h

⇒ 216 × 4 = 108 × h

⇒ 864 = 108 × h

⇒ h = 864 ÷ 108

⇒ h = 8 cm

Now, substitute the values of l, b, and h to find the length of the longest diagonal:

⇒ Longest diagonal = √(12² + 9² + 8²)

⇒ Longest diagonal = √(144 + 81 + 64)

⇒ Longest diagonal = √289

⇒ Longest diagonal = 17 cm

∴ The correct answer is 17 cm.

Additional Information

Melting and Recasting

When any 3D solid is melted to form a new solid, the total mass and volume remain perfectly conserved. (Volume of original solid = Volume of new solid)

Properties of a Cube

Volume = a³ | Total Surface Area = 6a² | Body Diagonal = a√3

Properties of a Cuboid

Volume = l × b × h | Total Surface Area = 2(lb + bh + hl) | Longest Diagonal = √(l² + b² + h²)

Shortcut Trick

Meenal needs to cover 1200 − 500 = 700 m.

Ratio of speeds Meenal : Nitu = 5 : 7.

When Meenal covers 5 units (700 m), 1 unit = 140 m.

In the same time, Nitu covers 7 units = 7 × 140 = 980 m.

Meenal wins by = 1200 − 980 = 220 m.

∴ The correct answer is 220 m.

Alternate Method

Given:

Total distance = 1200 m

Meenal start = 500 m

Speed ratio (V_m : V_n) = 5 : 7

Calculations:

⇒ Distance to be covered by Meenal = 1200 − 500 = 700 m

⇒ Time taken by Meenal (T) = Distance ÷ Speed = 700 ÷ 5k

⇒ Distance covered by Nitu in same time = Speed_n × T

⇒ Distance_n = 7k × (700 ÷ 5k) = 7 × 140 = 980 m

⇒ Winning margin = Total Distance − Distance covered by Nitu

⇒ Winning margin = 1200 − 980 = 220 m

∴ The correct answer is 220 m.

Additional Information

Concept of Headstart

In a race, if A gives B a start of 'x' meters, it means B starts 'x' meters ahead of the starting point. A has to run the full distance L, while B runs (L − x).

Speed and Distance Relationship

When time is constant, the distance covered is directly proportional to the speed (D₁/D₂ = S₁/S₂).

Winning by Distance

If A beats B by 'd' meters, it means when A reaches the finish line, B is 'd' meters behind the finish line.

Given: 

The tax on a commodity is diminished by = 14 %

Consumption increase = 10 %

Concept Used:

Revenue is directly proportional to consumption and tax, i.e. Revenue = C × T 

Calculation:

⇒ Initial Revenue = C × T

⇒ New Tax = ( $T - \frac {14}{100} T$ )

⇒ New  Consumption = ( $C + \frac{10}{100} C$ 

)

⇒ New Revenue = (

$\frac{86}{100}T \times \frac{110}{100}C$ )

⇒ New Revenue = 0.946C × T

⇒ Revenue decreases,

⇒ % decrease in revenue = $c \times t - 0.946 \times c\times t \over ct$ × 100 = 5.4 %

Hence, the revenue is decreased by 5.4 %

Calculation:

As given in the figure,

the students who wore cement-colored dresses are = 20 %

Number of students who wore cement-colored dresses are

⇒ 20 % of 60 = $\frac{20}{100} \times 60$ = 12

Hence, there are 12 students who are wearing a cement-colored dresses.

Given:

cosec2θ + cot2θ = $\frac{1}{3}$

Formula used:

cosec2θ - cot2θ = 1

Calculations:

cosec2θ + cot2θ = $\frac{1}{3}$

On multiplying by (cosec2θ - cot2θ) both side , we get: 

⇒(cosec2θ - cot2θ)(cosec2θ + cot2θ) = (cosec2θ - cot2θ)$\frac{1}{3}$

⇒cosec4θ - cot4θ = 1 × $\frac{1}{3}$

⇒cosec4θ - cot4θ = $\frac{1}{3}$

Hence, the required value is $\frac{1}{3}$.

Given:

Radius = 4.2 cm

Concept Used:

Tota surface area of a hemisphere = $3\pi r^2$

Calculation:

⇒ Total surface area of hemisphere = $3\pi r^2$

⇒ Total surface area = 3 × $\frac{22}{7}$ × 4.2 × 4.2 = 166.32 $cm^2$

Hence, Total surface area of the hemisphere is 166.32 $cm^2$

Given:

40% of Ranita's income = 56% of Bhaskar's income

Increase in Ranita's income = Rs 800

Increase in Bhaskar's income = Rs 2000

Ratio of the incomes of Ranita and Bhaskar after increase = 4 : 3

Calculation:

⇒ Let the Ranita's income be Rs x and Bhaskar's income be Rs y.

⇒ According to the question,

⇒ 40% of x = 56% of y

⇒ $\frac{40}{100}\times x = \frac{56}{100}\times y$

⇒ $\frac{2x}{5}=\frac{14y}{25}$

⇒ x = $\frac{14y}{5}\times \frac{1}{2} = \frac{14y}{10}$               → (1)

⇒ Now, after increase in the income,

⇒ Ranita's income = x + 800

⇒ Bhaskar's income = y + 2000

⇒ $\frac{x+800}{y+2000}=\frac{4}{3}$

⇒ x = $\frac{4y+8000}{3}-800=\frac{4y+8000-2400}{3}=\frac{4y+5600}{3}$                 → (2)

⇒ Equation both the equations, we get

⇒ $\frac{14y}{10}=\frac{4y+5600}{3}$

⇒ $42y=40y+5600\times 10$

⇒ $y=\frac{56000}{2}=28,000$

⇒ Now, $x=\frac{14\times 28000}{10}=14\times 2800=39200$ Rs

⇒ Combined income of Ranita and Bhaskar = 28000 + 39200 = Rs 67,200

Hence, the combined income of Ranita and Bhaskar is Rs 67,200

Given:

Number of family members = 7

Average age of  grandparents = 67 years

Average age of parents = 35 years

Average age of grandchildren = 6 years

Concept Used:

Average = Sum of terms ÷ Number of terms

Calculation:

⇒ The sum of grandparents' age = 67 × 2 = 134 years

⇒ The sum of parents' age = 35 × 2 = 70 years

⇒ The sum of children's age = 6 × 3 = 18 years

⇒ The present average age of family = $134 +70 +18 \over7$ = $\frac{222}{7}$ = $31 \frac{5}{7}$ years 

Hence, the present age of family is $31 \frac{5}{7}$ years.

Given:

Total number of persons = 18

Increase in average weight = 2.5 kg

Weight of replaced person = 72 kg

Concept Applied:

Sum of n terms = Average × Number of terms

Calculation:

⇒ Total weight increased = 18 × 2.5 = 45 kg

⇒ Weight of replaced person = 72 kg

⇒ Weight of new person = 72 + 45 = 117 kg

Hence, the weight of the new person is 117 kg.

Given:

Time taken by 15 people to complete a job = 5 days

Concept Used:

Total work = Number of people × Time taken

Calculation:

⇒ Total work = 15 × 5 = 75 units

⇒ Time taken by 25 people to complete the work = 75 ÷ 25 = 3 days

Hence, 25 people can finish the work in 3 days.

Shortcut Trick

Total Surface Area (TSA) of a cylinder = Curved Surface Area (CSA) + 2 × Base Area.

Given: CSA = 225 cm² and Base Area = 169 cm².

TSA = 225 + 2 × 169

TSA = 225 + 338 = 563 cm².

∴ The correct answer is 563 cm².

Alternate Method

Given:

Curved Surface Area (CSA) = 225 cm²

Area of Base = 169 cm²

Formula Used:

Total Surface Area (TSA) = 2πrh + 2πr²

Where 2πrh = CSA and πr² = Base Area

Calculations:

⇒ TSA = CSA + 2 × (Base Area)

⇒ TSA = 225 + 2 × 169

⇒ TSA = 225 + 338

⇒ TSA = 563 cm²

∴ The correct answer is 563 cm².

Additional Information

Volume of Cylinder

The volume of a cylinder is calculated as Base Area × Height = πr²h.

Hollow Cylinder TSA

For a hollow cylinder with outer radius R and inner radius r, TSA = 2πRh + 2πrh + 2π(R² − r²).

Relation between CSA and Volume

Volume = (CSA × r) ÷ 2, where r is the radius of the base.

Given:

4 ÷ [2 + 2 ÷ {2 + 2 ÷ (2 + $\frac{2}{3}$)}]

Concept Used:

Calculation:

⇒ 4 ÷ [2 + 2 ÷ {2 + 2 ÷ (2 + $\frac{2}{3}$)}]

⇒ 4 ÷ [ 2 + 2 ÷ { 2 + 2 ÷ $\frac{8}{3}$ }]

⇒ 4 ÷ [ 2 + 2 ÷ { 2 + 2 × $\frac{3}{8}$ }]

⇒ 4 ÷ [ 2 + 2 ÷ { 2 + $\frac{6}{8}$ }]

⇒ 4 ÷ [ 2 + 2 ÷ $\frac{22}{8}$ ]

⇒ 4 ÷ [ 2 + $\frac{16}{22}$ ]

⇒ 4 ÷ $\frac{60}{22}$

⇒ 4 × $\frac {22}{60}$ = $\frac{22}{15}$

 Hence, the simplified value of the expression is $\frac{22}{15}$

Given:

(ab + bc + ca) = 0

Calculation:

⇒ ab + bc + ca = 0

⇒ bc + ca = – ab     ( equation 1 )

⇒ ab + ca = – bc     ( equation 2 )

⇒ ab + bc = – ca     ( equation 3 )

⇒ $(\frac{1}{{{a^2} - bc}} + \frac{1}{{{b^2} - ca}} + \frac{1}{{{c^2} - ab}})$

⇒ Putting the value of – bc, – ab & –ca from equations 1, 2 & 3 in above equations we get,

⇒ $(\frac{1}{a^2 + ab + ca} + \frac{1}{b^2 + ab + bc} + \frac{1}{c^2 + bc + ca } )$

⇒ ( $\frac{1}{a (a+b+c)} + \frac{1}{b (a+b+c)} + \frac{1}{c (a+b+c)}$

⇒ By taking LCM we get,

⇒ $(ab + bc + ca) \over (abc) (a+b+c)$

⇒ Putting (ab + bc +ca) =0

⇒$0 \over(abc)(a+b+c)$ = 0

 Hence, the value of  $(\frac{1}{{{a^2} - bc}} + \frac{1}{{{b^2} - ca}} + \frac{1}{{{c^2} - ab}})$  is 0

Concept Used:

Percentage of money spent = Percentage of district × Total spend of the country

Calculation: 

⇒ Percentage of money spent on districts D & E = 16 + 18 = 34 %

⇒ Percentage of money spent on districts A & F = 12 + 12 = 24 %

⇒ Thus, money spent on districts D & E exceeds that on E & F by 34 – 24 = 10%

⇒ 10 % of Total Spend = $\frac{10}{100} \times 1562000$ = Rs. 1,56,200

Hence, the money spent on districts D & E exceeds that on E & F by Rs. 1,56,200

Given:

Number of times Rajesh took the exam = 30% less than the number of times Dinesh took

Calculation:

⇒ Number of attempts by Dinesh = 20

⇒ So, Number of times Rajesh took the exam = 20 – 30% of 20

⇒ Number of times Rajesh took the exam = $20-\frac{30}{100}\times 20=20-6=14$

⇒ Approximate percentage of times that Rajesh cleared the exam = $\frac{5}{14}\times 100=0.3571\times 100=35.71\%$

Hence, the approximate percentage of times that Rajesh cleared the exam out of the times he attempted is 35.71%

Given:

Profit % for A = 10 %

Profit  % for B = 5 %

Selling Price for B = Rs. 4,06,000

Concept Used:

Calculation:

⇒ Let the cost price for A be Rs 100

⇒ Cost price for B = 100 + 10% of 100 = Rs. 110

⇒ Selling price of the car by B on a profit of 5 % = 110 + 5 % of 110 = $110+\frac{5}{100}\times 110=110+5.5=115.5$ Rs

⇒ Cost of article to A when C pays Rs. 115.5 = Rs. 100

⇒ Cost of Article to A when C pays Rs. 4,06,000 = $\frac{100}{115.5} \times 406000$ = Rs. 351,515.12 ≈ Rs. 3,51,515

Hence, The cost price of the car for A is Rs. 3,51,515

Given:

 DE is a tangent to the circle at C.

∠ACD = 65° and ∠ACB = 35°.

Concept used:

According to the alternate segment theorem, the angle between a tangent and a chord is equal to the angle made by the chord in the alternate segment of the circle.

Calculations:

As ∠BAC & ∠BCE forming on the same arc i.e. arc BC, we get:

∠BAC = ∠BCE ------------(1)

Now, according to question, 

∠BCE + ∠ACB + ∠ACD = 180°     (As, Sum of angles of triangle is 180°)

⇒∠BCE + 35° + 65° = 180°

⇒∠BCE + 100° = 180°

⇒∠BAC = 80°          ---- From equation (1) 

Hence, The value of∠BAC = 80°.