SSC CHSL Tier-1 2021: Official Paper (Held On : 2 June 2022 Shift 2) (Previous Year Paper)

The erroneous part of the sentence is: went out to play

Key Points

• Replace 'went out' with 'go out' to make the sentence correct.
• The given sentence is written in the Present Perfect tense.
• Structure of the Present Perfect Tense: Subject + have/has + past participle + the rest of the sentence.
• The present perfect in the 'if/when' -clause of a sentence in the first conditional emphasises that one action depends on the completion of another.
• Example - When I've finished writing my paper by tonight, I'll go out with my friends.
• The phrase 'go out' is often used this way to state that someone is going out to do something.
• 'Went out' as a verb means Simple past tense.
• The given sentence states that "After completing the sum, he may go out and play."

​Therefore, the correct answer is option 2.

Corrected sentence: When you have worked out this sum, you may go out to play.

The erroneous part of the sentence is: in every Tuesday

Key Points

• The given sentence contains a prepositional error in it.
• Replace 'in' with 'on' to make the sentence correct.
• In English, ‘on’ is used when referring to days.
• While 'in' is used for larger spans of time such as months and seasons, 'on' is used to indicate specific days, dates and specific times.
• Example - Yellow roses will bloom in the month of April.
• Example - We look forward to your gifts on Christmas Eve.

Therefore, the correct answer is option 3.

Corrected sentence: Going to the weekly market on every Tuesday is a ritual that has been followed by generations in my family.

The correct answer is: Hope

Key Points

• Despair means the complete loss or absence of hope. (निराशा)
• Example - She killed herself in despair.
• Marked option Hope means to cherish a desire with anticipation. (आशा)
• Example -  I hope that she'll get well soon.
• It is clear that 'Despair' and 'Hope' are opposite in meaning.
• Therefore the correct answer is option 2.

Additional Information

• Vile means terrible very bad or unpleasant. (नीच)
• Annoy means to make someone a little angry, or irritate. (चिढ़ाना)
• Definite means clearly defined or determined. (निश्चित)

The erroneous spelling is: Attendence

Key Points

• The correct spelling should be 'Attendance'.
• 'Attendance' means the action or state of going regularly to or being present at a place or event.
• Example - Her attendance at school was sporadic.

Therefore, the correct answer is option 4 which is incorrectly spelt.

Additional Information

• Audience means the assembled spectators or listeners at a public event such as a play, film, concert, or meeting.
• Comprehension means the ability to understand completely and be familiar with a situation, facts, etc.
• Competence means the ability to do something successfully or efficiently.

The correct answer is: Wane

Key Points

• Wax means to grow larger or increase. (बड़ा होना या बढ़ना)
• Example - She waxed nostalgic at the reunion.
• Marked option Wane means to grow smaller or decrease. (छोटा होना या कम होना)
• Example -  His interest in the game was waning.
• It is clear that 'Wax' and 'Wane' are opposite in meaning.

Therefore the correct answer is option 1.

Additional Information

• Mourn means to feel regret or sadness about the loss or disappearance of something. (विलाप)
• Error means the state or condition of being wrong in conduct or judgement. (गलती)
• Insolent means showing a rude and arrogant lack of respect. (ढीठ)

The correct answer is: heading for

Key Points

• Replace 'heading into' with 'heading for' to make the sentence correct.
• We use 'for' to talk about a purpose or a reason for something.
• If someone is 'heading for' something, it is likely to happen to them soon.
• Example - It appears that the rebels are heading for victory.
• We use 'into' in a sentence to move or guide someone or something into some place or thing.

Therefore, the most appropriate option is option 2.

Corrected sentence: It was apparent that the girl was heading for a serious disaster.

Additional Information

• Along refers to moving in a constant direction on a road, path, or any more or less horizontal surface.
• 'Heading down' or 'Going down' refers to proceeding or going to some specific destination or event.
• 'Heading out' is often used in reference to a planned departure or as a way to announce one's exit.

The erroneous spelling is: kengaroo

Key Points

• The correct spelling should be 'kangaroo'.
• 'Kangaroo' is a large Australian mammal with a long stiff tail, short front legs and long powerful back legs.
• Example - The kangaroo lives in droves in the open grassy plains.

Therefore, the correct answer is option 1 which is incorrectly spelt.

Additional Information

• Vivacious means attractively lively and animated (typically used for a woman).
• Ambiguous means open to more than one interpretation; not having one obvious meaning.
• Itinerary means a travel document recording a route or journey.

The correct answer is: Bankrupt

Key Points

• Bankrupt means a person or organization declared in law as unable to pay their debts.
• Example - *His father went bankrupt and the family had to sell their home.*​
• ​So, it is clear that the 'Bankrupt' can be used as a one-word substitute for 'unable to pay his debts.'

Therefore, the correct answer is option 4.

Additional Information

• Destitute means extremely poor and lacking the means to provide for oneself.
• Meticulous means showing great attention to detail; very careful and precise.
• Reckless means to be marked by a lack of proper caution.

The correct answer is: An unexpected winner

Key Points

• Dark horse means someone with a secret ability or achievement; an unexpected winner of a race, competition or election.
• Example - The movie is a dark horse for the award.
• So, it is clear that the most appropriate meaning of the given idiom 'Dark horse' is 'An unexpected winner.'

Hence, the correct answer is option 3.

The correct answer is option 2.

Key Points

• ​The subject of the Active Voice is changed into the object of the Passive voice. Also, the object of the Active Voice is changed into the subject of the Passive Voice.
• The usage of a helping verb is necessary while changing the voice of the sentence from Active to Passive.
• The preposition “by” is used before the object made in Passive Voice. However, it is optional in some cases.
• The Active voice in this question is in Future Indefinite. Thus, the Passive voice will also be in the Future Indefinite.
• The format of Active voice is: Subject + shall/will + V1 + Object.
• Thus, in Passive voice, the format will be: Object of the active voice (Subjective case) + shall/will + be + made + by + Subject of the active voice (Objective case).
• For example:
• He will complete the assignment. (Active Voice)
• The assignment will be completed by him. (Passive Voice)
• The options except option (2) don’t follow the correct grammatical format of the Passive Voice.
• Therefore, the correct answer is: He will be made the leader by the people.

The correct answer is option 3.

Key Points

• The Active Voice describes sentence where the subject performs the action stated by the verb. While in the Passive Voice subject is acted upon by the verb.
• The structure of active voice = Subject + Verb + Object
• The structure of passive Voice = Object + helping verb + verb (3^rd form) + by + Subject
• Rules of Conversion from Active to Passive Voice:
• Identify the subject, the verb, and the object.
• Change the object into subject.
• Change the verb into past participle of the verb.
• Change the subject into object.

Thus the passive voice will be: He is known to me.

Additional Information

• The word 'known' takes a fixed preposition 'to'.

The correct answer is: most

Key Points

• Replace 'much' with 'most' to make the sentence correct.
• 'Most' denotes the greatest or highest degree, often used with an adjective or adverb to form the superlative. 
• Example - Peter is one of the most reliable people on this planet.
• Superlative adjectives are used to describe an object which is at the upper or lower limit of quality.
• The comparative form of 'much' is 'more', and the superlative form of 'much' is the 'most'.
• 'Much' means a large amount, while 'most' means the largest amount in comparison with other things.
• Example - I will lend you as much money as you want.
• 'One of the' is always used with superlatives and it is used when we are referring to someone or something specific among many others.

Therefore, the correct answer is option 3.

Corrected sentence: Mahatma Gandhi is undoubtedly one of the most popular authors of our times. 

Additional Information

• Best means the most excellent or desirable type or quality.
• Total means the whole number or amount of something.
• Better describes something as being superior or is an adverb that means something is done to a higher degree or more completely.

The correct answer is: has been trying 

Key Points

• Replace 'is trying' with 'has been trying' to make the sentence correct.
• “Is trying” refers to occurring in the present, at the present moment.
• Structure of the Present Continuous Tense: Subject + am/is/are + present participle (verb+ing) + the rest of the sentence
• ​Example -  The boys are playing in the park.
• “Has been trying” refers to the present perfect continuous. It refers to a time period which began in the past and continues in the present and into the future.
• Structure of the Present Perfect Continuous Tense: Subject + have/has + been + present participle + the rest of the sentence
• ​Example - I have been watching TV since 7 pm.
• We normally use 'since' with the present perfect to describe an action or situation that began in the past and continues in the present.
• In the given sentence 'since' is used to mean that "Sheela is continuously trying for a job for the last year and in present, the search is going on."
• 'Has' is used with the third person singular.

​Therefore, the correct answer is option 4.

Corrected sentence: Sheela has been trying for a job since last year.

The correct words are: perform and possession 

Key Points

• Perform means carry out, accomplish, or fulfil an action, task, or function.
• Example - I have my duties to perform.
• Possession  means the state of having, owning, or controlling something.
• Example - She came into possession of a rare silver coin.
• According to the given sentence, Perform and Possession is the most appropriate words.

Therefore, the correct answer is option 2.

Complete sentence: Gifting is generally taken to be the easiest act to perform, if only you have the heart to part with something in your possession. 

Additional Information

• Forsake means to stop doing or having something.
• Capacity means the amount that something can produce.
• Forgive means to stop feeling angry or resentful towards someone for an offence, flaw, or mistake.
• Discretion means the right or ability to decide something.
• Observe means to watch carefully the way something happens or the way someone does something.
• Control means to exercise authoritative or dominating influence over someone or something.

The correct answer is: knight

Key Points

• Knight means a warrior of the Middle Ages who fought on horseback, served a king, held a special military rank, and swore to behave in a noble way
• Example - The knight sharpened his sword in preparation for battle.
• If we refer to someone as "A knight in shining armour", that means they are kind and brave, and likely to rescue you from a difficult situation.
• So, it is clear that the most appropriate word is 'knight.'

Therefore, the correct answer is option 4.

Complete sentence: He is a knight in shining armour.

Additional Information

• Knit means to make a garment, fabric, etc. by interlocking loops of one or more yarns either by hand with knitting needles or by machine.
• Nite means an informal, simplified spelling of night.
• Night means the period from sunset to sunrise in each twenty-four hours.

The correct answer is "CDAB"

Key Points

• Let's look at the correct sequence of the passage.
• Statement C is the opening sentence of the passage which explains the theme of the passage that is Myths and it's importance.
• Statement D is the second sentence of the passage which explains that In today's world myths are describes as something unscientific and meaningless.
• Statement A is the third sentence of the passage which explains that myths also have great scientific values and only a foolish person would consider them irrational or worthless.
• Statement B is the last sentence of the passage which explains that people should not analyse myths on their factual accuracy and describes for what purposes myths are designed.

Hence, the correct sequence is C, D, A, B

The correct passage is: C. Myths have always been regarded as a complex and intriguing aspect in human life. D. In modern scientific world, they are essentially seen as something unscientific and meaningless. A. However, after studying the myths scientifically, only a simpleton would find them irrational or worthless. B. Moreover, it is wrong to analyse myths on the yardstick of their factual accuracy as they were designed to serve a greater, deeper purpose.

The correct answer is: Be absolutely different

Key Points

• The idiom 'Be like chalk and cheese' is used for expressing very different from one another; totally or nearly opposite in nature.
• Example - My brother and I are like chalk and cheese.

So, it is clear that the most appropriate meaning of the given idiom 'Be like chalk and cheese' is 'Be absolutely different.'

Hence, the correct answer is option 4.

The correct answer is: Follow

Key Points

• Lead means to go before or with to show the way; conduct or escort.
• Example - Britain is now taking the lead in environmental policies.
• Marked option Follow means go or come after (a person or thing proceeding ahead.
• Example -  I'll follow you back to the house.
• So, it is clear that 'Lead' and 'Follow' are opposite in meaning.

Therefore, the correct answer is option 2.

Additional Information

• Control means the power to influence or direct people's behaviour or the course of events.
• Guide means show or indicate the way to someone.
• Manage means succeed in surviving or in achieving something despite difficult circumstances.

The correct answer is: got back from.

Key Points

• The rule is: Present Perfect + Point of Time= Simple Past.
• It should be noted that the point of time (last month) in the past demonstrates that the action took place at a point in the past.
• So, the verb that must be used should be in the simple past tense.
• The point of time in the past is mentioned by the following as given below:
• ago
• before
• yesterday
• the other day
• last month/year/day
• The use of 'had get back from' is grammatically incorrect as the point of time is present in the sentence.
• Thus, 'got back from' is the correct usage in this context.

Therefore, the corrected sentence is: I got back from Hyderabad last month.

The correct answer is: Beneficial

Key Points

• Salubrious means favorable to or promoting health or well-being.
• Example - Vegetables are salubrious foods which provide essential nutrients.
• Marked option Beneficial means to produce good results or helpful effects.
• Example -  Regular exercise has many beneficial health effects.
• So, it is clear that 'Salubrious' and 'Beneficial' are similar in meaning.

Therefore, the correct answer is option 1.

Additional Information

• Vicarious means to experience in the imagination through the feelings or actions of another person.
• Insidious means something that is unpleasant or dangerous, gradually and secretly causing harm.
• Septic means an infection caused by bacteria.

The correct answer is: sulking

Key Points

• Sulking means to be silent, morose, and bad-tempered out of annoyance or disappointment.
• Example - He's sulking in his room because I wouldn't let him have any more chocolate.
• ​Here in the given paragraph, 'sulking' is used as a verb to describe the sorrowness of the author's failure.
• So, it is clear that the most appropriate word is 'sulking'.

Therefore, the correct answer is option 2.

Correct Paragraph: While I was sitting there (1) sulking over my failure to keep from having to spend (2) _________ glistering summer months on the freaking Cote of Azur, Grandmere started (3)_________ me from the phone. She kept (4)_________ her fingers on the phone to catch my attention. I just sat there blinking at her until finally, she put her hand over the receiver and (5)_________ (so that nobody listens), “Amelia! In my bedroom, there is something for you”. 

Additional Information

• Smirking means to smile in a way that expresses satisfaction or pleasure about having done something.
• Grinning means a facial expression characterized by turning up the corners of the mouth; usually showing pleasure or amusement.
• Clapping means to strike the palms of one's hands against one another resoundingly, and repeatedly to express approval.

The correct answer is: my

Key Points

• 'My' is a  possessive adjective and pronoun that we use where we already have a noun and want to indicate ownership.
• Example - Those are my glasses.
• 'my' is always placed before a noun.
• ​Here in the given paragraph, 'my' is used to explain that the glistering summer months belong to the speaker.
• So, it is clear that the most appropriate word is 'my'.

Therefore, the correct answer is option 3.

Correct Paragraph: While I was sitting there (1) sulking over my failure to keep from having to spend (2) my glistering summer months on the freaking Cote of Azur, Grandmere started (3)_________ me from the phone. She kept (4)_________ her fingers on the phone to catch my attention. I just sat there blinking at her until finally, she put her hand over the receiver and (5)_________ (so that nobody listens), “Amelia! In my bedroom, there is something for you”. 

Additional Information

• 'Ours' is used to referring to a thing or things belonging to or associated with the speaker and one or more other people previously mentioned or easily identified.
• 'Me' is used by a speaker to refer to himself or herself as the object of a verb or preposition.
• 'Mine' is used in place of another noun when it's understood what's being discussed and adds information describing whose it is.

Confusion Points

• Both my and mine are possessives, but they are used rather differently.
• 'My' is put before a noun to indicate the speaker's possession.
• Example - You have your talent. I have my talent.
• Mine is similar to my, but it cannot be used with the following noun the same way as my, it can't be put before a noun.
• 'Mine' is always used after a helping verb to refer to something previously mentioned.
• Example - You have your talent. I have mine.

The correct answer is: beckoning

Key Points

• Beckoning means to make a gesture with the hand, arm, or head to encourage or instruct someone to approach or follow.
• Example - She was beckoning them in to shore.
• ​Here in the given paragraph, 'beckoning' is used as a verb to describe a call or signal by a motion.
• So, it is clear that the most appropriate word is 'beckoning'.

Therefore, the correct answer is option 2.

Correct Paragraph: While I was sitting there (1) sulking over my failure to keep from having to spend (2) my glistering summer months on the freaking Cote of Azur, Grandmere started (3) beckoning me from the phone. She kept (4)_________ her fingers on the phone to catch my attention. I just sat there blinking at her until finally, she put her hand over the receiver and (5)_________ (so that nobody listens), “Amelia! In my bedroom, there is something for you”. 

Additional Information

• Disconcerting means making someone feel uncertain and uncomfortable or worried
• Upsetting means causing unhappiness, disappointment, or worry.
• Dismissing means to treat as unworthy of serious consideration.

The correct answer is: tapping

Key Points

• Tapping means the act or noise of touching something gently.
• Example - He was busy tapping away at his computer.
• ​Here in the given paragraph, 'tapping' is used as a verb to describe the noise of touching Grandmere*'s* fingers on the phone to catch the speaker's attention.
• So, it is clear that the most appropriate word is 'tapping'.

Therefore, the correct answer is option 4.

Correct Paragraph: While I was sitting there (1) sulking over my failure to keep from having to spend (2) my glistering summer months on the freaking Cote of Azur, Grandmere started (3) beckoning me from the phone. She kept (4) tapping her fingers on the phone to catch my attention. I just sat there blinking at her until finally, she put her hand over the receiver and (5)_________ (so that nobody listens), “Amelia! In my bedroom, there is something for you”. 

Additional Information

• Piquing means causing unhappiness, disappointment, or worry.
• Snapping means the action of breaking suddenly and completely, typically with a sharp cracking sound.
• Peering means to look closely and searchingly

The correct answer is: hissed

Key Points

• Hissed means to make a sharp sibilant sound as of the letter 's'.
• Example - The audience hissed loudly at the mention of his name.
• ​Here in the given paragraph, 'hissed' is used to describe a silent sound that nobody listens to, for something surprising.
• So, it is clear that the most appropriate word is 'hissed'.

Therefore, the correct answer is option 4.

Correct Paragraph: While I was sitting there (1) sulking over my failure to keep from having to spend (2) my glistering summer months on the freaking Cote of Azur, Grandmere started (3) beckoning me from the phone. She kept (4) tapping her fingers on the phone to catch my attention. I just sat there blinking at her until finally, she put her hand over the receiver and (5) hissed (so that nobody listens), “Amelia! In my bedroom, there is something for you”. 

Additional Information

• Commended means to present as suitable for approval or acceptance; recommend.
• Cheered means to shout for joy or in praise or encouragement.
• Lauded means highly praised or admired.

The pattern followed by the given sets is:

(First term + third term) × 3 = Second term

Now we apply the pattern on the given rows:

First row- 5, 39, 8

(First term + third term) × 3 = Second term

(5 + 8) × 3 = 39 

13 × 3 = 39 

39 = 39 

Second row- 7, 36, 5

(First term + third term) × 3 = Second term

(7 + 5) × 3 = 36 

12 × 3 = 36 

36 = 36

Third row- 11, ?, 9

(First term + third term) × 3 = Second term

(11 + 9) × 3 = Answer

20 × 3 = Answer

60 = Answer

Hence the correct answer option 1)

The pattern followed in the given series is:

(First term + 10) × First term = Second term 

Let's apply the pattern on the given series:

6 : 96 :: 8 : 144 :: 5 : ?

(First term + 10) × First term = Second term

(6 + 10) × 6 = 96

16 × 6 = 96

96 = 96 

6 : 96 :: 8 : 144 :: 5 : ?

(First term + 10) × First term = Second term

(8 + 10) × 8 = 144

18 × 8 = 144

144 = 144

6 : 96 :: 8 : 144 :: 5 : ?

(First term + 10) × First term = Second term

(5 + 10) × 5 = Answer 

15 × 5 = Answer

75 = Answer

Hence the correct answer is option 4)

The correct order of the given words according to the English dictionary is:

3. Calcium
4. Calculate
5. Calendar
6. Carrot
7. Catalyst

So the correct order is 3, 4, 5, 2, 1.

Hence the correct answer is option 3)

From the given statements, the Venn diagram is:

• All moons are suns.
• No moon is a star.
• Some stars are planets.

​I. Some suns are planets: According to the statements, there is no relation between suns and planets so we cannot relate planets with suns also some suns can be moons but no suns are planets. So the conclusion does not follow.

II. No sun is a star: From the given statement, it is safe to say that stars are related to suns and from the diagram, we can see the same. So this conclusion is wrong and it does not follow.

III. No planet is a moon: Since all moons are the sun and some stars are planets therefore we cannot say that planets are not related to moons. There is a possibility that it can be true. Thus the conclusion does not follow.

Since no conclusion follows.

Hence the correct answer is option 2)

The pattern followed in the given set is:

First term × 2 - 2 = Second term

Let's check with the options given:

Option 1) 43 : 84 

First term × 2 - 2 = Second term

43 × 2 - 2 = 84

86 - 2 = 84

84 = 84 

Option 2) 21 : 40 

First term × 2 - 2 = Second term

21 × 2 - 2 = 40

42 - 2 = 40

40 = 40

Option 3) 15 : 210 

First term × 2 - 2 = Second term

15 × 2 - 2 = 210

30 - 2 = 210

28 ≠ 210 

Option 4) 19 : 36 

First term × 2 - 2 = Second term

19 × 2 - 2 = 36

38 - 2 = 36 

36 = 36

Option 3) does not follow the pattern. Thus it is the odd pair.

Hence the correct answer is option 3)

We use the BODMAS rule to solve the equation:

We apply each option to the given equation:

16 * 6 * 69 * 81 * 3

Option 1) −, +, x, =

16 - 6 + 69 x 81 = 3

16 - 6 + 5589 = 3

5605 - 6 = 3

5599 ≠ 3 

Option 2) ×, −, =, ÷

16 × 6 - 69 = 81 ÷ 3

16 × 6 - 69 = 27

96 - 69 = 27

27 = 27

LHS = RHS

Option 3) ÷, +, =, ×

16 ÷ 6 + 69 = 81 × 3

2.6 + 69 = 81 × 3

2.6 + 69 = 243

71.6 ≠ 243

Option 4) +, =, ×, −

16 + 6 = 69 × 81 - 3

16 + 6 = 5589 - 3 

22 = 5589 - 3 

22 ≠ 5586 

Hence the correct answer is option 2)

According to the English alphabets and their positional values: 

The pattern followed in the given series is:

Alphabets are decreased to 1 positional values.

Hence the correct answer is option 4)

The pattern followed in the given series is:

(First term × 5) - 5 = Second term 

Let's apply the pattern on the given series:

19 : 90 :: 25 : ? :: 13 : 60

**(**First term × 5) - 5 = Second term

(19 × 5) - 5 = 90

95 - 5 = 90

90 = 90 

19 : 90 :: 25 : ? :: 13 : 60

(First term × 5) - 5 = Second term

(13 × 5) - 5 = 60

65 - 5 = 60

60 = 60

19 : 90 :: 25 : ? :: 13 : 60

(First term × 5) - 5 = Second term

(25 × 5) - 5 =  Answer 

125 - 5 = Answer

120 = Answer

Hence the correct answer is option 1)

The relation followed in the given series is:

Game : Object used to hit a ball in the game

Golf : Stick -- Golf is played with the help of stick.

Cricket : ? -- Cricket is played with the help of bat.

Since all other options does not follow the relation.

Hence the correct answer is option 1)

We use the BODMAS rule to solve the equation:

We apply each option on the given equation:

127 * 13 * 3 * 129 * 41

Option 1) +, =, +, −

127 + 13 = 3 + 129 - 41

140 = 132 - 41

140 ≠ 91 

Option 2) −, ×, =, −

127 - 13 × 3 = 129 - 41

127 - 39 = 129 - 41

88 = 88

LHS = RHS

Option 3) ÷, −, =, −

127 ÷ 13 - 3 = 129 - 41

9.7 - 3 = 129 - 41

6.7 ≠ 88

Option 4) −, −, =, +

127 - 13 - 3 = 129 + 41

127 - 13 - 3 = 170 

111 ≠ 170 

Hence the correct answer is option 2)

Explanation : 

There are 16 inner squares and 4 outer squares.

Hence, 20 is the correct answer.

Explanation :

BODMAS Table

 

Given equation : 17 A (31 B 3) C (64 D 8) A 41 C (21 B 4) 

According to BODMAS table

⇒ 17 + (31 × 3) - (64 ÷ 8) + 41 - (21× 4)

⇒ 17 + 93 - 8 + 41 - 84

⇒ 110 - 8 + 41 - 84

⇒ 151 - 8 - 84

⇒ 59

Hence, "59" is the correct answer.

Alphabet and their positional value:

The logic followed here is:

‘MOTHER’ is written as ‘LNSGIV’

for, ‘FATHER’ is written as ‘ZUSGIV’

Similarly, for WONDER:

 

So, WONDER will be coded as LDWMIV.

Hence, "LDWMIV" is the correct answer.

The image embedded in given figure is as shown below :

  

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

When we unfold the paper step by step we get the following image:

Hence the correct answer is option 3)

The correct image of the given figure when the mirror is placed at 'MN' is:

Hence, the correct answer is "Option 2".

Explanation: The correct image of the given figure when mirror is placed at 'PQ' is :

Hence, option 3 is the correct answer.

Explanation :

BODMAS Table

Given equation  : 99 * 25 * 10 * 12 * 7

Option 1) −, =, +, × by subsituiting this value in given equation by BODMAS rule we get,

99 − 25 = 10 + 12 × 7

74 = 10 + 84

74 ≠ 94 (LHS ≠ RHS)

Option 2) +, =, +, × by subsituiting this value in given equation by BODMAS rule we get,

99 + 25 = 10 + 12 × 7

124 = 10 + 84

124 ≠ 94 (LHS ≠ RHS)

Option 3) −, +, =, × by subsituiting this value in given equation by BODMAS rule we get,

99 − 25 + 10 = 12 × 7

109 - 25 = 84

84 = 84 (LHS = RHS)

Option 4) −, =, +, + by subsituiting this value in given equation by BODMAS rule we get,

 99 − 25  = 10 + 12 + 7

74 ≠ 29 (LHS ≠ RHS)

Hence, Option 3) is the correct answer.

If 31 December 2009 was Thursday then,

Number of odd days in 2010(not a leap year) = 1

Thus, Thursday + 1 = Friday

31 December 2010 will be Friday.

Now, 25 December 2010 = Friday - 6 = Saturday.

So, 25 December 2010 was Saturday.

Hence, the correct answer is "Option 3".

BODMAS Table:

Given expression : 16 * 4 * 8 * 10 * 2 * 43 

After replacing the  * by signs,  we get:

Option 1) ÷, ×, –, +, = 

16 ÷ 4 × 8 – 10 + 2 = 43 

= 4 × 8 – 10 + 2 = 43 

= 32 - 10 + 2 = 43

= 34 - 10 = 43

= 24 ≠ 43

 

Given expression : 16 * 4 * 8 * 10 * 2 * 43 

After replacing the  * by signs,  we get:

Option 2) ÷, ×, +, –, = 

16 * 4 * 8 * 10 * 2 * 43 

= 16 ÷ 4 × 8 + 10 – 2 = 43

= 4 × 8 + 10 – 2 = 43

= 32 + 10 - 2 = 43

= 42 - 2 = 43

= 40 ≠ 43

 

Given expression : 16 * 4 * 8 * 10 * 2 * 43 

After replacing the  * by signs,  we get:

Option 3) ×, ÷, –, +, = 

16 * 4 * 8 * 10 * 2 * 43 

= 16 × 4 ÷ 8 – 10 + 2 = 43

= 16 × 0.5 - 10 + 2 = 43

= 8 - 10 + 2 = 43

= 10 - 10 = 43

= 0 ≠ 43

 

Given expression : 16 * 4 * 8 * 10 * 2 * 43 

After replacing the  * by signs,  we get:

Option 4) +, ×, –, ÷, = 

16 * 4 * 8 * 10 * 2 * 43 

= 16 + 4 × 8 – 10 ÷ 2 = 43

= 16 + 4 × 8 – 5 = 43

= 16 + 32 – 5 = 43

= 48 - 5 = 43

= 43 = 43

Hence, the correct answer is "Option 4".

Alphabet and their place value:

The logic followed here is:

'ACTOR' is written as '136812'

‘HEROINE’ is written as ‘95128745’

Similarly, for 'HERO'

Hence the correct answer is option 1)

The pattern followed here is : Difference between each number in the series is a prime number i.e 29, 23, 19, 17, 13 and 11.

Hence, 'option 4' is the correct answer.

  Important Points

Prime Numbers : A prime number is a natural number greater than 1 that can be divided only by itself and 1.

First ten Prime Numbers : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

The positional values of the English alphabet is as follows:

The pattern followed here is:

Hence, 'option 2' is the correct answer.

E and C are common in both the dices.

Clearly, F will be on the face opposite to D.

Hence, 'option 1' is the correct answer.

The logic followed here is:

Elephant : Trunk

Trunk is an internal organs that are the extended nose of Elephant,

Fish : Gill 

Gills are the internal organs that allow Fish to breathe underwater.

Similarly, for Kangaroo : ? 

Pouch is the internal organs of Kangaroo that functions exclusively as baby containers.

 

Hence, 'Option 2' is the correct answer.

Given:

The speed of the car is travelling is 60 km/hr and Average Speed is  48 km/hr

Formula used:

Average speed = Total distance/Total time

Time = Distance/Speed

Calculation:

Let the Speed for returning be S.

Let the distance between A and B be x

2x/48 = x/60 + x/S

⇒ 2x/48 - x/60 = x/S

⇒ x/24 - x/60 = x/S

⇒3x/120 = x/S

⇒S = 40 km/h

Required speed = S = 40 km/hr

∴ The Required speed for returning is 40 km/hr.

Alternate MethodCalculation:

⇒ (2 × S₁ × S₂)/(S₁ + S₂) = Average speed

⇒ (2 × 60 × S2)/(60 + S2) = 48

⇒ 5 × S₂ = 120 + 2 × S₂

⇒ 3 × S2 = 120

⇒ S2 = 40

∴ The correct answer is 40 km/h.

Given:

Speed = 108 km/h

Time = 40 seconds

Formula used:

Distance = Speed × Time 

Calculations:

Let the distance be D then,

According to question,

Distance = Speed × Time 

⇒ D = 108 × $\frac{40}{3600}$

⇒ D = 1.2 km = 1 km 200 m

Hence, The distance required is 1 Km 200 m.

Shortcut Trick

The total circumference of a circle corresponds to a central angle of 360°.

An angle of 24° corresponds to an arc length of 15 cm.

Therefore, the full 360° corresponds to: (360° ÷ 24°) × 15 cm.

Circumference = 15 × 15 = 225 cm.

∴ The correct answer is 225 cm.

Alternate Method

Given:

Length of arc (l) = 15 cm

Angle subtended at the centre (θ) = 24°

Formula Used:

Length of an arc = (θ ÷ 360°) × Circumference

Calculations:

⇒ 15 = (24° ÷ 360°) × Circumference

⇒ 15 = (1 ÷ 15) × Circumference

⇒ Circumference = 15 × 15

⇒ Circumference = 225 cm

∴ The correct answer is 225 cm.

Additional Information

Area of a Sector

The area of a sector of a circle with radius r and central angle θ is given by Area = (θ ÷ 360°) × πr².

Circumference of a Circle

The total boundary length of a circle is calculated as C = 2πr or C = πd, which corresponds to the full 360° arc.

Radian Measure

When measuring angles in radians, the formula for arc length is simplified to l = r × θ. A complete circle is 2π radians.

Given:

Ratio of radius of two right circular cylinders = 2 : 3

Ratio of their heights = 5 : 3

Formula used:

Volume of right circular cylinder = πr2h

Calculation:

Let the volumes of both the cylinder be v₁ and v_2, respectively.

And the height of both cylinder be h1 and h2

Then, according to the question, we have:

⇒ v₁ : v₂ = π × (2)2 × (5)/π × (3)2 × (3)

⇒ v₁ : v₂ =  20/27

⇒ v₁ : v₂ = 20 : 27

∴ The ratio of their Volumes is 20 : 27.

Given:

The successive discount are 10% and 40%( while done cash payment).

SP = Rs. 2,700

Formula:

Successive discount = X + Y - (XY)/100

Where,

X = First discount

Y = Second discount

Calculation:

Successive discount = X + Y - (XY)/100

⇒ 10 + 40 - (400/100)

⇒ 46%

Now, according to the question,

⇒ (100 - 46)% of MP = SP

⇒ 54% of MP = SP

⇒ 0.54 × MP = 2700

⇒ MP = 2700/0.54 = 5000

∴ The Required Marked Price  is Rs.5,000.

Given:

A dealer allows his customers a discount of 15% and still gains 15%.

an article costs ₹2,500 to the dealer.

Formula used:

(Marked price)/(Cost price) = (100 + profit%)/(100 - discount%)

Calculation:

According to question,

Marked price/2500 = 115/85

⇒ Marked price = (23 × 2500)/17

⇒ Marked price = 57,500/17 = Rs.3382.352 ~ Rs.3382

∴ Marked price (nearest to one rupee) is  Rs. 3382.

Shortcut Trick

Area of Trapezium = Average of parallel sides × Height

Area = [(20 + 25) ÷ 2] × 14

Area = 45 × 7

Area = 315 cm²

∴ The correct answer is 315 cm².

Alternate Method

Given:

Lengths of parallel sides (a and b) = 20 cm and 25 cm

Perpendicular distance between parallel sides (h) = 14 cm

20 cm 25 cm 14 cm

Formula Used:

Area of Trapezium = 1/2 × (Sum of parallel sides) × (Perpendicular distance)

Calculation:

⇒ Area = 1/2 × (a + b) × h

⇒ Area = 1/2 × (20 + 25) × 14

⇒ Area = 1/2 × 45 × 14

⇒ Area = 45 × 7

⇒ Area = 315

∴ The correct answer is 315 cm².

Additional Information

Area of a Parallelogram

The area of a parallelogram is the product of its base and corresponding height. Formula: Area = base × height.

Area of a Rhombus

The area of a rhombus is half the product of its diagonal lengths. Formula: Area = 1/2 × d₁ × d₂.

Median of a Trapezium

The line segment joining the midpoints of the non-parallel sides is called the median. Length of median = 1/2 × (Sum of parallel sides).

Area of a Triangle

The area is half the product of its base and perpendicular height. Formula: Area = 1/2 × base × height.

Given:

Average of 6 integers is 48.

The average of the first five integers is 70% of the sixth integer.

Formula used:

Average = (sum of the numbers)/(total numbers)

Calculations:

Let the 6^th integer be x.

So, according to the question,

(Sum of the first 5 integers)/ 5 = 70% of x

(Sum of the first 5 integers)/ 5 = 0.70 x

Sum of the first 5 integers = 3.5 x

Now, Average of 6 integers = 48

(Sum of 5 integers + 6^th integer)/6 = 48

⇒ (3.5x + x) = 48 × 6

⇒ 4.5 x = 288

⇒ x = 288/4.5 = 64

∴ The Required value of the 6^th integer is 64.

Given:

Two numbers X and Y are such that the sum of 18% of X and 8% of Y is one-third of the sum of 22% of X and 36% of Y.

Calculations:

According to the question,

⇒ 18% of X + 8% of Y = $\frac{1}{3}$ × (22% of X + 36% of Y)

⇒ 3(0.18X + 0.08Y) = 0.22X + 0.36Y

⇒ 0.54X + 0.24Y = 0.22X + 0.36Y

⇒ (0.54 - 0.22)X = (0.36 - 0.24)Y

⇒ 0.32X = 0.12Y

⇒ X/Y = 0.12/0.32 = 3/8

⇒ X : Y = 3 : 8

∴ The Required ratio is 3 : 8.

Given:

79 – [6 – {4 – (8 × (6 + 3))}] ÷ 2

Concept used:

Calculations:

⇒ 79 – [6 – {4 – (8 × (6 + 3))}] ÷ 2

⇒ 79 – [6 – {4 – (8 × (9))}] ÷ 2

⇒ 79 – [6 – {4 – (72)}] ÷ 2

⇒ 79 – [6 – {- 68))}] ÷ 2

⇒ 79 - [6 + 68] ÷ 2

⇒ 79 - 74 ÷ 2

⇒ 79 - 37

⇒ 42

∴ The Required simplified value is 42.

Given:

cos θ =  $- ~\frac{\sqrt{3}}{2}$

Concept used:

cos (π - π/6) = $- ~\frac{\sqrt{3}}{2}$,

Every trigonometric ratio is negative except Sin and its reciprocal in the second quadrant.

Calculations:

⇒ cos θ = $- ~\frac{\sqrt{3}}{2}$

⇒ cos θ = cos(5π/6)

⇒ θ = 5π/6

∴ The required value is $\frac{5π}{6}$.

Given:

Principal = Rs. 10,625

Rate = 8%

Time = 2 years

Formula used:

A = P{1 + (r/100)^t }

Where,

A = amount, P = principal, r = rate, t = time

Compound Interest = Amount – Principal

Calculation:

⇒ A = P × {1 + (r/100)^t}

⇒ A = 10,625 × { 1 + (8/100)² }

⇒ A = 10,625 × (108/100)2

⇒ A = 10,625 × (1.08)²

⇒ A = Rs.12,393

Compound Interest = 12,393 –10,625 = Rs.1,768

∴  The compound interest for the given principal is Rs. 1,768.

Alternate MethodConcept used:

The effective rate of R% for 2 years = R + R + $R× R\over100$

Calculation:

The effective rate of 8% for 2 years = 16.64%

⇒ 10625 × 16.64% = 1768

∴ The correct answer is Rs. 1768.

Given:

The given numbers are 4, 8, 12 and 16.

Concept:

The smallest four-digit number is 1000.

Calculation:

LCM of 4, 8, 12 and 16 = 48

When we divide 1000 by 48 we get 40 as the remainder.

The smallest four-digit number which is divisible by 4, 8, 12 and 16 is = 1000 – 40 + 48 = 1008

The smallest four-digit number which when divided by 4, 8, 12 and 16 is = 1008

∴ The number will be 1008.

Given:

 = 7.5

Calculations:

⇒ $(x - \frac{1}{x})$ = 7.5

On squaring both sides, we get:

⇒ $\rm (x - \frac{1}{x})$² = (7.5)²

⇒ x² + $\frac{1}{x²}$ - 2 = 56.25

⇒ x² + $\frac{1}{x²}$ = 58.25

∴ The value of x² + $\frac{1}{x²}$ is 58.25.

Alternate MethodConcept used:

If $(x - \frac{1}{x})$ = P then,

x2 + ​$\frac{1}{x²}$ = P² + 2

Calculation:

⇒ $(x - \frac{1}{x})$ = 7.5

⇒ x² + ​$\frac{1}{x²}$ = (7.5)² + 2

⇒  x2 + ​$\frac{1}{x²}$ = 58.25.

∴ The correct answer of x² + $\frac{1}{x²}$ is 58.25.

Given:

(x2 - 14x + 49) (x2 + 6x + 9)

Calculations:

According to the question, we need:

⇒ √{(x2 - 14x + 49) (x2 + 6x + 9)}

⇒ √{(x2 + 2(- 7)x + 7²) (x2 + 2(3)x + 3²)}

⇒ √{(x - 7)²(x + 3)²}

⇒ (x - 7)(x + 3)

∴ The required value is (x - 7) (x + 3).

**Given:**​​

$(x^3+y^3)^\frac{2}{3}$ = (x2 + y2)

Concept Used:

(a+b)² = a² + b² + 2ab

(a+b)³ = a³ + b³ + 3ab (a+b)

Calculation:

For the given equation,

​$(x^3+y^3)^\frac{2}{3}$ = (x2 + y2) 

Cubing both sides, we get

⇒ (x³+y³)² = (x²+y²)³

⇒ x⁶ + y⁶ + 2 x³ y³ = x⁶ + y⁶ + 3x² y² (x² + y²) 

⇒ 2 x³ y³ = 3 x² y² (x² + y²)

⇒ xy = $\frac{3(x^2+y^2)}{2}$

Putting the value in the required equation $\rm \frac{x^2 + y^2}{xy}$

⇒ $\frac{x^2+y^2}{\frac{3(x^2+y^2)}{2}}=\frac{2(x^2+y^2)}{3(x^2+y^2)}=\frac{2}{3}$

∴ The required value of $\rm \frac{x^2 + y^2}{xy}$ is ​​$2\over3$.

Calculation:

Percentage of population affected by cold in the year 2020 = 10%

Percentage of population affected by cold in the year 1990 = 3.5%

Percentage of population affected by cold in the year 2000 = 7%

Percentage of population affected by cold in the year 2010 = 8%

∴ The percentage of population affected by cold is minimum in the year 1990.

Given:

Total number of students = 100

Calculation:

Number of students scored 80 or above in subject A = 9

Total number of students = 100

So, number of students who scored less than 80% of marks = 100 – 9 = 91

∴ The number of students who scored less than 80% marks in A is 91

Given:

Profit = One-eighth of cost price

Concept Used:

Profit Percentage = $\frac{Profit}{CP}× 100$

Calculation:

Let the cost price of a radio set be Rs 100

Profit on selling radio set = $\frac{1}{8}$ × 100 = 12.5 Rs

Profit Percentage =  $\frac{12.5}{100}$ × 100 = 12.5 

∴ The profit percentage made on selling the radio set is 12.5%.

Given:

Total number of people = 10,000

Calculation:

Percentage of people in Teaching profession = 20%

Number of people in Teaching profession = 20% × 10000 = 2000

Percentage of males in Teaching profession = 50%

Number of males in Teaching profession = 50% of 2000

Number of males in Teaching profession = 1000

∴ The total number of males in the teaching profession is 1000.

Given:

Radius of a hemispherical bowl = 7 cm

Concept Used:

Volume of hemisphere = $\frac{2}{3}\pi r^3$

Calculation:

Capacity of bowl = $\frac{2}{3}\pi r^3$

Capacity of bowl = $\frac{2}{3}× \frac{22}{7}$ × 7 × 7 × 7

Capacity of bowl =  $2\over3$ × 22 × 49

Capacity of bowl = $\frac{2156}{3}=718\frac{2}{3}$ cm³

∴ The capacity of the hemispherical bowl is 718$\frac{2}{3}$ cm³.

Given:

Time taken by pipe to fill the tank = 15 hours

Due to leakage, the time taken to fill the tank = 20 hours

Concept Used:

Rate of Leakage = Initial filling rate – Filling rate with leakage

Calculation:

⇒ Initial rate of filling the tank = $\frac{1}{Time}=\frac{1}{15}$

⇒ Time taken to fill the tank with leakage = 20 hours

⇒ So, Filling rate with leakage = $\frac{1}{20}$

⇒ Therefore, Rate of leakage = $\frac{1}{15}-\frac{1}{20}=\frac{4-3}{60}=\frac{1}{60}$

Hence, the time taken to empty the entire tank is 60 hours.

Shortcut TrickCalculation:

So,

Efficiency of the leakage = (4 - 3) = 1 unit/hr

Time taken to empty the tank = 60/1 = 60 hrs

∴ The correct answer is 60 hrs.

Given:

5, 10 and 12

Concept Used:

Fourth proportion of three numbers a, b and c = $\frac{b\times c}{a}$

Calculation:

Let the fourth proportion be x.

So, a = 5, b = 10 and c = 12

Then, x = $\frac{10\times 12}{5}=24$

∴ The fourth proportion to 5, 10 and 12 is 24

Given:

Value of one instalment = Rs 3,025

Rate of interest per annum = 10%

Concept Used:

Sum Borrowed = $\left[\frac{Principal}{1+\frac{r}{100}}\right]+\left[\frac{Principal}{\left(1+\frac{r}{100}\right)^2}\right]~$

Calculation:

The principal amount of each instalment = Rs 3,025

Sum borrowed by a man = $\left[\frac{3025}{1+\frac{10}{100}}\right]+\left[\frac{3025}{\left(1+\frac{10}{100}\right)^2}\right]$

Sum borrowed by a man = $\frac{3025}{\frac{110}{100}}+\frac{3025}{\left(\frac{110}{100}\right)^2}=\frac{3025× 10}{11}+\frac{3025× 100}{121}$

Sum borrowed by a man = $275× 10+25× 100=2750+2500=5250$ Rs

Hence, the sum of money borrowed by a man is Rs 5,250

Shortcut TrickCalculation:

Now,

⇒ 121 units = 3025

⇒ 1 unit = 3025/121 = 25

⇒ (110 + 100) = 210 units = 210 × 25 = 5250

∴ The correct answer is Rs.5250.

Given:

Votes secured by first candidate = 35% of the casted vote

Number of votes by which other candidate gave defeat = 1296

Calculation:

Let the total polled votes be x.

Percentage of votes secured by the winning candidate

⇒ 100 – 35 = 65%

Votes polled for first candidate = $\frac{35}{100}× x = \frac{7x}{20}~$

Votes polled for second candidate = $\frac{65}{100}× x = \frac{13x}{20}~$

According to the question,

⇒ $\frac{13x}{20}-\frac{7x}{20}$ = 1296

⇒ $\frac{6x}{20}$ = 1296

⇒ x = $\frac{1296× 20}{6}$ 

⇒ x = 216 × 20 = 4320

∴ The total number of votes polled in the election are 4320

The correct answer is Mridangam.

Key Points

• P Mani Iyer
• Palghat T. S. Mani Iyer, born Thiruvilvamalai Ramaswamy was one of the leading mridangists in the field of Carnatic music.
• He, along with his contemporaries Palani Subramaniam Pillai and Ramanathapuram C.S. Murugabhoopathy, are revered as the "Holy Trinity of Mrudangam".
• Mani Iyer was the first mridangist to be awarded the Sangeetha Kalanidhi presented by the Music Academy of Madras, the Padma Bhushan and the Sangeet Natak Akademi Awards presented by the Government of India.
• Mani Iyer accompanied all the leading vocal artists of his era.
• He was also the guru for later mridangam players such as Late Palghat R. Raghu, Late Mavelikkara Velukkutty Nair, Umayalpuram K. Sivaraman, Thanjavur R.Ramadas, Kamalakar Rao, Late G. Harishankar (kanjira),etc.

Additional Information

• mridangam
• The mridangam is a percussion instrument of ancient origin.
• It is the primary rhythmic accompaniment in a Carnatic music ensemble.
• sarangi
• The sarangi is a bowed, short-necked string instrument played in traditional music from India – Punjabi folk music, Rajasthani folk music, and Boro folk music – also in Pakistan and Bangladesh.
• violin
• The violin, sometimes known as a fiddle, is a wooden chordophone in the violin family.
• Most violins have a hollow mandolin.
• It is the smallest and thus highest-pitched instrument in the family in regular use.
• mandolin
• A mandolin is a stringed musical instrument in the lute family and is generally plucked with a plectrum