SSC CHSL 2020 Official Paper 14 (Held On: 19 April 2021 Shift 2) (Previous Year Paper)

Here the correct answer is To be anxious and nervous.

Key Points

• Let's look at the meaning of the given idiom:-
• Getting butterflies in one's stomach - a feeling of nervousness. (घबराहट की भावना)
• For Example - The butterflies in my stomach almost kept me from going on stage and performing.
• Thus, the correct answer is Option 2.

Here the correct answer is Dr. Chanda said that she would definitely write about that case in the medical journal.

Key Points

• The given sentence is a direct speech.
• The basic rules for changing or converting direct speech into indirect speech:​
• The commas, inverted commas are removed, and 'that' is added.
• The first-person pronoun 'I' becomes the third-person pronoun 'she'.
• 'This' changes to 'that' in the indirect speech.
• The present simple tense format 'Subject + V1 (will) + Object' will be changed into the past simple tense format 'Subject + V2 (would) + Object'.

 

Hence, the correct answer is Option 3.

 

Additional Information 

 

• The following table will enable us to know how tense changes into Indirect speech:-

 

Hinglish

 

• दिया गया वाक्य direct speech है।
• Direct speech को indirect speech में बदलने के लिए बुनियादी नियम:-
• Commas, inverted commas हटा दिए जाते हैं और 'that' जोड़ा जाता है।
• The first-person pronoun 'I', third-person pronoun 'she' बन जाता है।
• Indirect speech में 'this' 'that' में बदल जाता है।
• Present simple tense format 'Subject + V1 (will) + Object' को past simple tense format 'Subject + V2 (would) + Object' में बदल दिया जाएगा।

  

अत: सही उत्तर विकल्प 3 है।

Here the correct answer is Delay.

Key Points

• Let's look at the meaning of the given word:-
• Haste - excessive speed or urgency of movement or action; hurry. (जल्दी करना; अत्यधिक गति या कार्रवाई की तात्कालिकता)
• Let's look at the meaning of the correct answer:-
• Delay - be late or slow; loiter; postpone or defer (an action). (विलंब)
• Thus, it is clear that the correct antonym of the word 'haste' is 'delay.'
• Therefore, the correct answer is Option 3.

Additional Information

• Let's look at the meaning of the other words given in options:-
• Urgency - importance requiring swift action. (तात्कालिकता)
• Drive - operate and control the direction and speed of a motor vehicle. (चलाना)
• Inspire - fill (someone) with the urge or ability to do or feel something, especially to do something creative. (प्रेरित करना)

The correct answer is option 3) i.e., 'rise'.

Key Points

• Plunge is a verb which means to jump or dive quickly and energetically.
• The correct antonym for the word is rise  which means to move from a lower position to a higher one; come or go up.

Additional Information

• Dive is synonymous to plunge. It means to plunge head first into water with one's arms raised over one's head.
• Duck is a verb which means to lower the head or the body quickly to avoid a blow or missile or so as not to be seen.
• Fall is a verb that means to move from a higher to a lower level, typically rapidly and without control.

Here the correct answer is Segragate.

Key Points

• The correct spelling of the marked answer is 'Segregate'.
• Let's look at the meaning of the words given in options:-
• Segregate - set apart from the rest or from each other; isolate or divide. (अलग करना)
• Celebrate - acknowledge (a significant or happy day or event) with a social gathering or enjoyable activity. (जश्न मनाना)
• Separate - cause to move or be apart. (अलग करना)
• Celibate - abstaining from marriage and sexual relations, typically for religious reasons. (अविवाहित)
• Thus, the correct answer is Option 4.

The correct answer is option 2) i.e., 'cherish'.

Key Points Let us see the meanings of the given options - 

• esteem is a noun that means respect and admiration.
• He was held in high esteem by colleagues.
• cherish is a verb that means to hold (something) dear.
• I cherish the letters she wrote.
• think is a verb that means to have a particular opinion, belief, or idea about someone or something.
• You should think about your future seriously.
• cheap is an adjective that means low in price, especially in relation to similar items or services.
• I got the blanket for a cheap price.
• From the given meanings it is clear that the given blank should be filled by the verb cherish.
• Hence option 2 is the correct answer.

Here the correct answer is Parallal.

Key Points

• The correct spelling of the marked answer is Parallel.
• Let's look at the meaning of the words given in options:-
• Parallel - occurring or existing at the same time or in a similar way; corresponding; a person or thing that is similar or analogous to another. (समानांतर)
• Principal - the most important or senior person in an organization or group. (किसी संगठन या समूह में सबसे महत्वपूर्ण या वरिष्ठ व्यक्ति)
• Plural - containing several diverse elements; (of a word or form) denoting more than one, or (in languages with dual number) more than two. (बहुवचन)
• Subsonic - relating to or flying at a speed or speeds less than that of sound. (ध्वनि की गति से कम गति से उड़ना)
• Thus, the correct answer is Option 1.

The correct answer is option 1) i.e., 'He part the grass'.

Key Points

• The given sentence is in past tense form as the subject (he) had seen the deer.
• Part is the simple present tense verb  and hence cannot be used in the sentence.
• This makes segment 1 the incorrect part.

Correct sentence - He parted the grass at the place where he had seen the deer.

The erroneous segment is option 1) i.e., 'were thoroughly checking'.

Key Points

• The given sentence is in past tense form as the linking verb were is used.
• Checking is the present continuous tense form of the verb check.
• This is a passive voice construction where the action expressed by the verb is received by the subject.
• The structure: object+ was/were V3+ by + subject.
• Here, as per the V3 form 'checked' will be used as per the above rule.
• The correct answer is option 1.

Correct sentence - Bags and purses were thoroughly checked at the entrance to the theatre.

Here the correct answer is Aquatic.

Key Points

• Let's look at the meaning of the given options:-
• Aerial - (of a bird) spending much of its time in flight. ((एक पक्षी का) अपना अधिकांश समय उड़ान में बिताना)
• Aquatic - (of a plant or animal) growing or living in or near water. (जलीय जंतु)
• Terrestrial - animals that live on land. (जानवर जो जमीन पर रहते हैं)
• Arboreal - animals that live in trees. ((पेड़ों में रहने वाले जानवर)
• Thus, the correct answer is Option 2.

The correct answer is option 2) i.e., 'beware'.

Key Points Let us see the meanings of the given options - 

• Wary is an adjective which means feeling or showing caution about possible dangers or problems.
• Dogs which have been mistreated often remain wary of strangers.
• Beware is a verb which means to be cautious and alert to risks or dangers.
• You should beware of imitation birthstones.
• Aware is an adjective which means having knowledge or perception of a situation or fact.
• Most people are aware of the dangers of sunbathing.
• Cautious is an adjective which means (of a person) careful to avoid potential problems or dangers.
• Rohit is a cautious driver.
• From the given meanings it is clear that the given blank should be filled by the verb beware.
• Hence option 2 is the correct answer.

Here the correct answer is These carpets have been woven by the prisoners of this jail.

Key Points

• The given sentence is in the active voice form, hence we need to convert it into passive voice form.
• In the given sentence, the subject is 'the prisoners of this jail' and the object is 'these carpets', so for making the passive form of this sentence, we need to exchange their places of object and subject.
• We need to follow these instructions while changing the active voice into the passive voice.
• The subject 'the prisoners of this jail' of the active voice becomes the object of the passive voice.
• The object 'these carpets' becomes the subject of the passive voice.
• The tense**(present perfect tense)** changes according to the following structure:-
• Active Voice - Subject + has + V₃ + Object.
• Passive Voice - Object + has/have + been + V₃ + by + Subject.
• Thus, the correct answer is Option 2.

Therefore, the correct passive voice is These carpets have been woven by the prisoners of this jail.

Hinglish

• दिया गया वाक्य active voice में है, इसलिए हमें इसे passive voice में बदलने की जरूरत है।
• दिए गए वाक्य में, विषय 'the prisoners of this jail' है और वस्तु 'these carpets' है, इसलिए इस वाक्य का passive voice बनाने के लिए, हमें उनके स्थान और विषय का आदान-प्रदान करने की आवश्यकता है।
• Active voice को Passive voice में बदलते समय हम��ं इन निर्देशों का पालन करना होगा।
• Active voice का विषय 'the prisoners of this jail' passive voice का object बन जाता है।
• Object 'these carpets' passive voice का subject बन जाता है।
• काल (वर्तमान पूर्ण काल) निम्नलिखित संरचना के अनुसार बदलता है: -
• Active Voice - Subject + has + V3 + Object.
• Passive Voice - Object + has/have + been + V3 + by + Subject.
• अत: सही उत्तर विकल्प 2 है।

Here the correct answer is The gardener requested the children not to pluck any flowers.

Key Points

• The given sentence is a direct speech.
• The basic rules for changing or converting direct speech into indirect speech:​
• The commas and inverted commas are removed.
• The verb 'please' in the direct speech indicates the use of the verb 'requested' in indirect speech. Therefore, "said to" becomes 'requested'.
• The phrase "do not" becomes "not to".
• Hence, the correct option is Option 1.

Additional Information

• The following table will enable us to know how tense changes into Indirect speech:-

 

Hinglish

• दिया गया वाक्य direct speech है।
• Direct speech को indirect speech में बदलने या बदलने के लिए बुनियादी नियम:
• Commas, inverted commas और exclamation mark हटा दिए जाते हैं।
• 'Please' एक अनुरोध को इंगित करता है और इसलिए, 'Please' के स्थान पर 'requested' का उपयोग किया जाना चाहिए।
• ''Do not'' को ''not to'' से बदल देना चाहिए।
• अत: सही उत्तर विकल्प 1 है।

The correct answer is option 1) i.e., 'you submitted'.

Key Points

• The given sentence is an interrogative sentence that is in present tense form.
• Submitted is the simple past tense form of the verb submit. As with an auxiliary verb 'did' we use 'the first form of the verb'
• Hence it cannot be used in the given sentence.
• This makes option 1 the incorrect segment.

Correct sentence - Why didn't you submit your project on time?

Here the correct answer is Were providing.

Key Points

• In the above-given sentence, 'were provided' will be used instead of 'were providing'.
• The given sentence is in simple past tense and in passive voice.
• The construction of this type of sentence is - was/were + V3.
• For Example - I was disappointed with his performance.
• Thus, the third form of the verb 'provided' will be used.
• Therefore, the correct answer is Option 2.

Correct Sentence - Electric heaters were provided to all the officers at the guest house.

Hinglish 

• ऊपर दिए गए वाक्य में, 'were providing' के बजाय 'were provided' का प्रयोग किया जाएगा।
• दिया गया वाक्य simple past tense और passive voice में है।
• इस प्रकार के वाक्य की रचना है - was/were + V3.
• उदाहरण के लिए - I was disappointed with his performance.
• इस प्रकार क्रिया के तीसरे रूप 'provided' का प्रयोग होगा।
• इसलिए, सही उत्तर विकल्प 2 है।

Here the correct answer is Extend.

Key Points

• Let's look at the meaning of the given word:-
• Stretch - a continuous area or expanse of land or water. (एक सतत क्षेत्र या भूमि या पानी का विस्तार; फैलाव)
• Example - It's a very dangerous stretch of roads.
• Let's look at the meaning of the correct answer:-
• Extend - cause to cover a wider area; make larger. (विस्तार; एक व्यापक क्षेत्र को कवर करने का कारण; बड़ा करना)
• Example - His influence extends beyond the TV-viewing audience.
• Thus, after looking at the meaning of the two words, we can say that they are synonyms of each other.
• Therefore, the correct answer is Option 1.

Additional Information

• Let's look at the meaning of the other words given in options:-
• Cease - come or bring to an end. (बंद करना)
• Example - The factory will cease operations this winter.
• Close - very near to someone or something; with very little space between. (बंद करना)
• Example - She came close to losing an eye.
• Compress - flatten by pressure; squeeze or press. (संकुचित करें)
• Example - Wood blocks compress a great deal under pressure.

Here the correct answer is To believe wrongly that your situation is good.

Key Points 

• Let's look at the meaning of the given idiom:-
• Living in a fool’s paradise - to believe wrongly and stupidly that your situation is good when really it is not. (गलत और मूर्खता से विश्वास करना कि आपकी स्थिति अच्छी है जबकि वास्तव में ऐसा नहीं है)
• For Example - We were living in a fool's paradise thinking that the financial successes of the early 2000s would last forever.
• Thus, the correct answer is Option 1.

Here the correct answer is Tarriff.

Key Points

• The correct spelling of the marked answer is Tariff.
• Let's look at the meaning of the words given in options:-
• Tariff - a tax or duty to be paid on a particular class of imports or exports. (आयात या निर्यात के किसी विशेष वर्ग पर भुगतान किया जाने वाला कर या शुल्क)
• Parachute - a cloth canopy that fills with air and allows a person or heavy object attached to it to descend slowly when dropped from an aircraft, or which is released from the rear of an aircraft on landing to act as a brake. (एक कपड़ा चंदवा जो हवा से भर जाता है और किसी व्यक्ति या उससे जुड़ी भारी वस्तु को एक विमान से गिराए जाने पर धीरे-धीरे उतरने की अनुमति देता है, या जिसे ब्रेक के रूप में कार्य करने के लिए लैंडिंग पर विमान के पीछे से छोड़ा जाता है)
• Partner - either of a pair of people engaged together in the same activity. (साथी)
• Sergeant - a police officer ranking below an inspector. (एक पुलिस अधिकारी जो एक निरीक्षक के नीचे रैंक किया गया है)
• Thus, the correct answer is Option 3.

Here the correct answer is Has gone on.

Key Points 

• ''If two subjects are joined by expressions like 'along with, as well as, in addition to, besides, nothing, unlike, like, no less than etc.' the verb that follows agrees with the first subject".
• For Examples:-
• Rohan as well as his friends is playing.
• They along with their teacher are going on vacations.
• In the given sentence, the verb must agree with the first subject i.e. Supriya.
• The singular form of the verb i.e. has should be used.
• On the other hand, 'on' will be used because it means in the course of (a journey).
• For Example - He was on his way to see his mother.
• Thus, 'has gone on' will be used instead of 'have gone of'.
• Therefore, the correct answer is Option 2.

Hinglish

• ''यदि दो विषयों को 'along with, as well as, in addition to, besides, nothing, unlike, like, no less than आदि' जैसे भावों से जोड़ा जाता है। निम्नलिखित क्रिया पहले विषय से सहमत होती है"।
• उदाहरण के लिए:-
• Rohan as well as his friends is playing.
• They along with their teacher are going on vacations.
• दिए गए वाक्य में, क्रिया को पहले विषय यानी Supriya से सहमत होना चाहिए।
• क्रिया के एकवचन रूप अर्थात has का प्रयोग किया जाना चाहिए।
• दूसरी ओर, 'on' का प्रयोग किया जाएगा क्योंकि इसका अर्थ है (यात्रा) के दौरान।
• उदाहरण के लिए - He was on his way to see his mother.
• इस प्रकार, 'have gone of' के ​​बजाय 'has gone on' का उपयोग किया जाएगा।
• इसलिए, सही उत्तर विकल्प 2 है।

The correct answer is option 3) i.e., 'occurred'.

Key Points

• The given blank should have a word in the past tense form that defines the thought process of the subject (I).
• The best fit word for the given blank is occurred which is the past tense form of the verb occur.
• Occur means (of a thought or idea) come into the mind of.
• Hence, option 3 is the correct answer.

Additional Information The meaning of the other given options and their usage are as follows - 

• Suggested is the past tense form of suggest which means to put forward for consideration. 
• I suggested the following tweaks to the action plan.
• Happened is the past tense form of happen which means to take place.
• The incident happened years ago.
• Reminded is the past tense form of remind which means to cause (someone) to remember someone or something.
• She was reminded about her obligations as a queen.

The correct answer is option 2) i.e., 'when'.

Key Points

• Blank 1 needs to be filled with a question word which would provide the answer to a particular time or occasion (the occasion of the earth shaking).
• So, we need to use the adverb when which is used to answer questions about at or on which (referring to a time or circumstance).
• Hence, when is the correct word for the given blank.

Additional Information

 

• The adverb why is used to obtain an explanation or a reason. (= I want to know the reason)
• Why are you late?
• The adverb where is used when referring to a place or location. (= I want to know the place)
• Where is the venue for the wedding?
• The adverb how is used to describe the manner that something is done. (= I want to know the way)
• How fast can this dish be cooked?

The correct answer is option 1) i.e., 'believe'.

Key Points

• The given sentence with blank 2 is in present tense form.
• From the given options it is clear that we need to use the present tense form of the verb believe which means accept that (something) is true, especially without proof.
• Hence, believe is the correct word for the given blank.

Additional Information

• Believe is the present tense form.
• are believing is the present continuous tense.
• believing is the present participle form.
• believed is the simple past tense form.

The correct answer is option 2) i.e., 'them'.

Key Points

• We need to use a pronoun in blank 3 to indicate the noun animals used previously in the sentence (... animals' more acute hearing helps ...).
• The given blank needs a third person plural object pronoun.
• Hence, the correct word for the given blank is them.

Additional Information

• Us is a first person plural object pronoun which is used as the object of a verb or a preposition to mean the person communicating and at least one other person. 
• Rahul told us your secret.
• They is a third person plural subject pronoun which is used to refer to two or more people or things previously mentioned or easily identified.
• They were nervous about their results.
• One is a gender neutral indefinite pronoun which is used to refer to the speaker, or any person, as representing people in general.
• One has to admire her tenacity.

The correct answer is option 4) i.e., 'they'.

Key Points 

• We need to use a pronoun in blank 4 to indicate the noun animals as who can sense something (... can sense an approaching disaster long before humans ...).
• The given blank needs a third person plural subject pronoun.
• Hence, the correct word for the given blank is they.

Additional Information 

• "We" is a first-person plural subject pronoun that is used to indicate the speakers/writers, or the speaker/writer and at least one other person
• We were told that the show was over.
• "Them" is a third-person plural object pronoun that is used as the object of a verb or preposition to refer to two or more people or things previously mentioned or easily identified.
• I asked them to talk softly.
• "You" is a second-person singular subject pronoun that is used to refer to the person or people that the speaker is addressing.
• You should never tell lies.

The correct answer is option 2) i.e., 'realise'.

Key Points

• The given blank needs a verb to show the action of the humans regarding an approaching disaster.
• Realise is a verb which means to become fully aware of (something) as a fact or to understand clearly.
• Reflect is a verb which means (of a surface or body) throw back (heat, light, or sound) without absorbing it.
• Renew is a verb which means to resume (an activity) after an interruption.
• Restore is a verb which means to bring back or re-establish (a previous right, practice, or situation).
• From the above meanings it is clear that realise is the correct word for the given blank.

The logic followed here is:

The knife is used by the butcher to cut the meat.

Similarly, 

The teacher used chalk to write on the blackboard.

Hence, "option 3" is the correct answer.

Additional Information

• The hammer is used by the blacksmith.
• Chisels are used by metal workers.
• Scissors are used by the barber for cutting hair.

The paper when unfolded appear as shown below-

Hence, "option 2" is the correct answer.

Table show alphabet serial number –

Given: IMPUDENT is written as PFXMHAWK

The logic followed here is,

1. First letter is subtracted by 3 and shifted to the second position and the second letter add by 3 and shifted to the first position.

2. Third letter is subtracted by 3 and shifted to the fourth position and fourth letter add by 3 and shifted to the third position.

3. And the last two letters are interchanged and decreased or increased by 3.

Similarly,

ABNORMAL = ?

  

‘’ABNORMAL" is coded as ‘EXRKPOOX’.

Hence, "option 1" is the correct answer.

Table show alphabet serial number –

Given: MONKEY is written as XDJMNL 

The logic followed here is,

Subtract 1 in each letter and the 1^st letter shifted to 6^th letter, 2^nd letter shifted to 5^th letter, 3^rd letter shifted to 4^th letter, 4^th letter shifted to 3^rd letter, 5^th letter shifted to 2^nd letter and 6^th letter shifted to 1^st letter.

Similarly,

TIGER = ?

‘’TIGER" is coded as ‘QDFHS’.

Hence, "option 3" is the correct answer.

The logic followed here is:

From option 1:-

Add 4 in 1^st letter we get 2^nd letter, add 7 in 2^nd letter we get 3^rd letter, subtract 4 in 3^rd letter we get 4^th letter.

From option 2:-

Add 4 in 1^st letter we get 2^nd letter, add 11 in 2^nd letter we get 3^rd letter, subtract 4 in 3^rd letter we get 4^th letter.

From option 3:-

Add 4 in 1^st letter we get 2^nd letter, add 7 in 2^nd letter we get 3^rd letter, subtract 4 in 3^rd letter we get 4^th letter.

From option 4:-

Add 4 in 1^st letter we get 2^nd letter, add 7 in 2^nd letter we get 3^rd letter, subtract 4 in 3^rd letter we get 4^th letter.

Option 2 is different from other.

Hence, "option 2" is the correct answer.

The table of the alphabet is given below:-

The logic followed here is:

We arrange in alphabetical order, first come Microorganism then come to Mineralize, then come to Misappropriate, then come Misbehave, then come Miscellaneous, which is given below:-

3. Microorganism
4. Mineralize
5. Misappropriate
6. Misbehave
7. Miscellaneous

Hence, "option 3" is the correct answer.

The logic followed here is:

Death is caused by an Accident.

Similarly,

Starvation is caused by a hunger strike.

Hence, "option 1" is the correct answer.

The logic followed here is:

Option 1:- Slavery means bondage.

Option 2:- Convenience means the quality of being easy, useful, or suit able for somebody.

Option 3:- Choice means an act of choosing between two or more people or things.

Option 4:- Autonomy means the right of a person.

The meaning of options 2, 3, and 4 is positive or to make something but option 1 meaning is negative.

Hence, "option 1" is the correct answer.

Important Points

1. A person who is the property of and wholly subject to another and forced to provide unpaid labor. a person entirely under the domination of some influence or person: She was a slave to her own ambition. a drudge: a housekeeping slave.
2. Self-directing freedom and especially moral independence personal autonomy.
3. The definition of choice is the act of making a selection or the person or thing which is selected.

• An example of choice is someone deciding what to have for dinner.

The option in which the given figure is embedded when rotation is not allowed is shown below:

   

Hence, "option 2" is the correct answer.

The logic followed here is:

In option 1, 3, and 4 addition of all four digits is 17 but in option 2 addition of all four digits is 21.

Option 1:- 3 + 4 + 3 + 7 = 17

Option 2:- 7 + 4 + 3 + 7 = 21

Option 3:- 7 + 4 + 1 + 5 = 17

Option 4:- 5 + 4 + 5 + 3 = 17

Hence, "option 2" is the correct answer.

The logic followed here is:

Hence, "option 3" is the correct answer.

For this question, the relation is given below -

From figure (A) and figure (B), only 3 is common.

Now we take clockwise direction from 3 in figure (A) and figure (B) respectively, then letter opposite to each other.

 

From figure (A) take a clockwise direction from 3 which is 2 and 1 respectively.

From figure (B) take a clockwise direction from 3 which is 4 and 5 respectively.

From figure (A) 2 is opposite to figure (B) 4.

From figure (A) 1 is opposite to figure (B) 5.

From figure (A) 3 is opposite to figure (B) 6.

Hence, "5" is the correct answer.

The Venn diagram is given below:-

Conclusions:

I. Some players are fans → False (No fan is a player given so, never some players are fans)

II. Some wickets are balls → False (All balls are fans, no fan is a player, some players are wickets. So, no relation between wickets and balls.)

III. Some fans are balls → True (All balls are fans. So some fans are balls also true.)

Hence, "option 4" is the correct answer.

Additional InformationSuppose for an Example: All A are B.

If we go from In to Out means from A to B then cases with All and some will be true like All A are B and Some A are B.

But if we go Out to In then only cases with Some will be true and All will be can't say like Some B are A will be true but All B are A will be can't say.

Given that:-

13 × 2 - (8 ÷ 4) + (4 × 1) = 24

From option 1:-

• and ÷

13 × 2 - (8 + 4) ÷ (4 × 1) = 24

Apply BODMAS rule:-

13 × 2 - 12 ÷ 4 = 24

13 × 2 - 3 = 24

26 - 3 = 24

23 ≠ 24, It is not follow.

From option 2:-

+ and -

13 × 2 + (8 ÷ 4) - (4 × 1) = 24

Apply BODMAS rule:-

13 × 2 + 2 - 4 = 24

26 + 2 - 4 = 24

28 - 4 = 24

24 = 24, It is follow.

From option 3:-

• and ×

13 - 2 × (8 ÷ 4) + (4 - 1) = 24

Apply BODMAS rule:-

13 - 2 × 2 + 3 = 24

13 - 4 + 3 = 24

16 - 4 = 24

12 ≠ 24, It is not follow.

From option 4:-

• and ×

13 + 2 - (8 ÷ 4) × (4 + 1) = 24

Apply BODMAS rule:-

13 + 2 - 2 × 5 = 24

13 + 2 - 10 = 24

15 - 10 = 24

5 ≠ 24, It is not follow.

Hence, "option 2" is the correct answer.

The logic is followed here-

1) Addition of 1^st number and 1^st number minus 2 (1^st number - 2) then we get 2^nd number,

2) Then we add 2^nd number and 1^st number minus 1 (1^st number - 1) then we get 3^rd number.

For (7, 12, 18)

7 + (7 - 2) = 7 + 5 = 12

12 + (7 - 1) = 12 + 6 = 18

Similarly,

From option 1:-

For (6, 12, 15)

6 + (6 - 2) = 6 + 4 = 10 ≠ 12

10 + (6 - 1) = 10 + 5 = 15

So, It is not correct.

From option 2:-

For (4, 6, 8)

4 + (4 - 2) = 4 + 2 = 6 

6 + (4 - 1) = 6 + 3 = 9 ≠ 8

So, It is not correct.

From option 3:-

For (5, 9, 11)

5 + (5 - 2) = 5 + 3 = 8 ≠ 9

8 + (5 - 1) = 8 + 4 = 12 ≠ 11

So, It is not correct.

From option 4:-

For (8, 14, 21)

8 + (8 - 2) = 8 + 6 = 14

14 + (8 - 1) = 14 + 7 = 21

So, It is correct.

Hence, "option 4" is the correct answer.

The logic is followed here-

Square of 1^st number + 5 = second number.

For 8 ∶ 69;

8² + 5 = 64 + 5 = 69

Similarly,

For 7 ∶ ?

7² + 5 = 49 + 5 = 54

Hence, "option 3" is the correct answer.

The diagram is given below:-

The triangles are AJB, ABH, AJI, AHI, BJH, BHI, BKC, BAI, IJH, BKH, BCF, HKF, CHB, BFH, CKF, CHF, CLD, CLF, CED, CEF, DLE, DFE, LEF, DCF, IGM, GME, IEM, AHC, IBF, HCE, and BFD.

There are total of 31 triangles present.

Hence, "option 2" is the correct answer.

Alternate Method

We know that:

Now,

Counting the figure separately:

From fig 1 shown below:

No of triangles = 1 + 2 = 3 or triangles = AOD, AOB, and ABD = 3

From fig 2 shown below:

No of triangles = 1 + 2 = 3 or triangles = DOC, OCB, and DCB = 3

merginf the fig 1 and 2 we get:

No of triangle = 3 + 3 of (fig 1 and 2) + 2 extra merging traingles i.e ADC and ABC.

Total = 8. 

Now, we have a total of 3 such figure.

No of triangles = 8 × 3 = 24 

From the final figure shown below:

There are an extra 4 merging triangles i.e ACE, CEH, DBF, and BFG.

Thus total number of triangles = 24 + 4 = 28.

From the final question figure shown below:

Total number of triangles = 28 + 3 = 31.

Hence, "31" is the correct answer.

The mirror image is given below:-

Hence, "option 3" is the correct answer.

The logic is here followed as:-

1. Triangle (

) move from top right side to bottom right, then bottom right to bottom left, then bottom left to middle, then middle to top left, and then top left to top right.

2. Diamond (

) move from middle to top left, and then top left to top right, then top right side to bottom right, then bottom right to bottom left, then bottom left to middle.

3. Face (

) move top left to top right, then top right side to bottom right, then bottom right to bottom left, then bottom left to middle, and then middle to top left. 

4. Flower (

) move the bottom left to middle, then middle to top left, then top left to top right, then top right side to bottom right, and then bottom right to bottom left.

Heart (

) move bottom right to bottom left, then bottom left to middle, then middle to top left, then top left to top right, and then top right side to bottom right.

The final arrangement is given below:-

Hence, "option 2" is the correct answer.

The logic followed here is:

First number × 1.5 + Second number = Third number

In the first row:

⇒ 4 (First number) × 1.5 = 6

⇒ 6 (Number obtained) + 10 (Second number) = 16 (Third number)

In the second row:

⇒ 6 (First number) × 1.5 = 9

⇒ 9 (Number obtained) + 4 (Second number) = 13 (Third number)

In the third row:

⇒ 8 (First number) × 1.5 = 12

⇒ 12 (Number obtained) × X = 26

⇒ X = 26 - 12

Hence, the correct answer is "14".

Let tickets from Mohali to Delhi = x

Tickets from Mohali to Jammu = y

Given that:-

2x + 3y = 800  .................(I)

3x + 2y = 700  ................(II)

We multiply 3 in equation (I) and multiply 2 in equation (II) we get:-

6x + 9y = 2400

6x + 4y = 1400, Now solve both equations, we get:-

y = ₹200 (tickets price from Mohali to Jammu)

x = ₹100 (tickets price from Mohali to Delhi)  

Hence, "option 1" is the correct answer.

U's daughter, X, is the daughter-in-law of V.

W is the son of V's daughter.

The family tree is given below:-

W is the nephew of X.

Hence, "option 3" is the correct answer.

The logic followed here is:

In the question putting the opposite letter of place value and add all the values and then subtract the number of vowels and get the value.

(The sum of the alphabets in the opposite positional value) - (Number of vowels in a word) = Number code.

INHALE is coded as 110

And,

DELAY is coded as 86.

Similarly,

IGNORE = ?

Hence, "option 3" is the correct answer.

The logic followed here is:

Poetry can be written in Telugu or Urdu.

Telugu and Urdu both are different languages.

Venn diagram is given below:-

Hence, "option 4" is the correct answer.

Given :- h _ c g _ h k _ g l _ k c _ l

By checking options and substituting accordingly.

1:- c h l k g → h c c g h - h k l g l - k k c g l 

2:- g h l c k → h g c g h - h k l g l - c k c k l 

3:- k l c h g → h k c g l - h k c g l - h k c g l

      ♦  (Repetition of h k c g l).

4:- l g k h c → h l c g g - h k k g l - h k c c l 

     ♦   Option (3) gives a pattern of h k c g l - h k c g l - h k c g l.

Hence, "option 3" is the correct answer.

Calculation:

The export of diamonds in the given year = (7.2 + 8.5 + 9.8 + 10.9 + 11.8 + 11.5 + 12.4)

⇒ Rs. 72.1 crores

The average export of diamonds in the given year = (72.1/7)

⇒ Rs. 10.3 crores

∴ The required average is 10.3 

Alternate MethodDeflection method:

Let the average export be 10.9.

The total deflection of all observations from the average

= [(10.9 - 7.2) + (10.9 - 8.5) + (10.9 - 9.8) + (10.9 - 10.9) + (10.9 - 11.8) + (10.9 - 11.5) + (10.9 - 12.4)]/7

⇒ (3.7 + 2.4 + 1.1 + 0 - 0.9 - 0.6 - 1.5)/7

⇒ 4.2/7 = 0.6

Required average = 10.9 - 0.6 = 10.3

∴ The required average is 10.3

Given:

x – y = $\frac{7}{4}$

$\frac{1}{x}-\frac{1}{y}=\frac{14}{3}$

Formula used:

x3 –  y³ = (x – y)[(x – y)² + 3xy]

Calculation:

According to the question

$\frac{1}{x}-\frac{1}{y}=\frac{14}{3}$

⇒ -(x – y)/xy = 14/3

Putting the value of x – y in the given equation

⇒ -(7/4)/xy = 14/3

⇒ -1/xy = 14/3 × 4/7

⇒ -1/xy = 8/3

⇒ xy = -3/8

Now,

x3 – y3 = (x – y)[(x – y)2 + 3xy]

⇒ x3 –  y³ = (7/4) × (49/16) – (9/8)

⇒ x³ – y³ = 7/4 × (49 – 18)/16

⇒ x3 – y³ = (7/4 × 31/16)

⇒ x3 – y³ = 217/64

∴ The required value is 217/64

Given:

a4 + b4 + a2b2 = 133 and a2 + b2 – ab = 19

Calculation:

a2 + b2 – ab = 19

⇒ a² + b² = 19 + ab

And,

a4 + b4 + a2b2 = 133

⇒ a⁴ + b⁴ + 2a²b² – a²b² = 133

⇒ (a² + b²)² – a²b² = 133

⇒ (19 + ab)² – a²b² = 133

⇒ 361 + 38ab + a²b² – a²b² = 133

⇒ 38ab = 133 – 361

⇒ 38ab = -228

⇒ ab = (-228/38)

⇒ ab = -6

∴ The required value of ab is -6

Alternate Methoda4 + b4 + a2b2 = 133

(a2 + b2 – ab)(a2 + b2 + ab) = 133

⇒ 19 × (a2 + b2 + ab) = 133

⇒ a2 + b2 + ab = 7      ....(1)

And, a2 + b2 – ab = 19    ....(2)

Subtract equation (2) from equation (1),

2ab = -12

⇒ ab = -6

∴ The required value of ab is -6

Concept Used: 

Follow the BODMAS rule according to the table given below:

Calculation:

18 ÷ 6 of 9 × [12 ÷ 3 of {16 × 2 ÷ (11 - 8)}] of (4 ÷ 2 of 8)

⇒ 18 ÷ 6 of 9 × [12 ÷ 3 of {16 × 2 ÷ 3}] of (4 ÷ 2 of 8)

⇒ 18 ÷ 6 of 9 × [12 ÷ 3 of (16 × 2/3)] of (4 ÷ 2 of 8)

⇒ 18 ÷ 6 of 9 × [12 ÷ (3 of 32/3)] of (4 ÷ 2 of 8)

⇒ 18 ÷ 6 of 9 × [12 ÷ (3 × 32/3)] of (4 ÷ 2 of 8)

⇒ 18 ÷ 6 of 9 × (12 ÷ 32) of (4 ÷ 2 of 8)

⇒ 18 ÷ 6 of 9 × 3/8 of (4 ÷ 2 of 8)

⇒ 18 ÷ 6 of 9 × 3/8 of (4 ÷ 16)

⇒ 18 ÷ 6 of 9 × 3/8 × 1/4

⇒ 18 ÷ 54 × 3/8 × 1/4

⇒ 1/3 × 3/8 × 1/4

⇒ 1/8 × 1/4

⇒ 1/32

∴ The required value is 1/32

Given: 

The total sum of money = Rs.12,992

Ratio of A and C = 4 : 15

Ratio of A and B = 2 : 5

Calculation:

Let the total sum be x

Simplifying the ratios to get the same unit by cross multiplication

Ratio of A and C = (4 : 15) × 2

⇒8 : 30

Ratio of A and B = (2 : 5) × 4

⇒ 8 : 20

Ratio of A, B and C = 8 : 20 : 30

Total sum = Rs. (8x + 20x + 30x)

⇒ 58x = 12,992

⇒ x = 224

The share of B = 20x = (20 × 224)

⇒ Rs. 4,480

The share of C = 30x = (30 × 224)

⇒ Rs. 6,720

The difference between the share of B and C = Rs. (6,720 – 4,480)

⇒ Rs. 2,240

∴ The required difference is Rs. 2,240

Alternate MethodA ∶ B = 2 ∶ 5 and A ∶ C = 4 ∶ 15

C ∶ A ∶ B 

= 2 ∶ 2 ∶ 5

   15 ∶ 4 ∶ 4 × 

= 30 ∶ 8 ∶ 20

⇒ C ∶ A ∶ B = 30 ∶ 8 ∶ 20

The total amount = (30 + 8 + 20) units = 12992

⇒ 58 units = 12992

⇒ 1 unit = 224

The difference between the share of B and C = (30 - 20) = 10 units

⇒ 10 × 224 = Rs. 2240

∴ The required difference is Rs. 2,240

Given:

3cos2θ - 4sinθ + 1

Formula used:

b² = h² – p²

Cos²θ = 1 – sin²θ 

Calculation:

3cos2θ - 4sinθ + 1 = 0

⇒ 3 (1 – sin²θ – 4 sinθ + 1 = 0

⇒ 3 – 3sin²θ – 4sinθ + 1 = 0

⇒ 3sin²θ + 4sinθ – 4 = 0

⇒ 3sin2θ + 6sinθ – 2sinθ – 4 = 0

⇒ 3sinθ (sinθ + 2) – 2(sinθ + 2) = 0

⇒ sinθ = 2/3, -2

Now,

sinθ = p/h = 2/3

b2 = h2 – p²

⇒ b² = (9 – 4)

⇒ b²= 5

⇒ b = √5

cosθ = b/h = √5/3

tanθ = p/b = 2/√5

3cos2θ + 5tan2θ = (3 × 5/9) + (5 × 4/5)

⇒ (5/3 + 4)

⇒ 17/3

⇒ $5\frac{2}{3}$

∴ The required value is $5\frac{2}{3}$

Given:

Amount1 = Rs. 8,563.50

Time1 = $3\frac{1}{2}$ years = 7/2 years

Amount2 = Rs. 10,527

Time2 = 7 years

Calculation:

Let the Principal be x and Rate be y respectively

According to the question

SI on Rs. 8,563.50 for (7 – 7/2) years = Rs. (10,527 – 8,563.50)

⇒ 7/2 years = Rs.1,963.50

⇒ 1 year = Rs. (1,963.50 × 2)/7

⇒ 1 year = Rs. 561

Principal = (8,563.50 – 1,963.50) = Rs. 6600

Now,

Rate = (561/6600 × 100)

⇒ (56,100/6600)

⇒ 8.5%

⇒ $8\frac{1}{2}$

∴ The value of x and y is 6600 and $8\frac{1}{2}$

Given:

Salary spent on groceries = 20%

Salary spent on the remaining on rent = 15%

Salary spent on children's education and others = 60%

Saving of Savita in a month = Rs. 9,792

Calculation:

Let the monthly income be 100x

Salary spent on groceries = (20% of 100x)

⇒ (100x × 20/100)

⇒ 20x

Salary spent on the remaining on rent = (15% of 80x)

⇒ (80x × 15/100)

⇒ 12x

Salary spent on children's education and others = (60% of 68x)

⇒ (68x × 60/100)

⇒ 40.8x

Remaining salary = 100x – (20 + 12 + 40.8)x

⇒ (100x – 72.8x)

⇒ 27.2x

Now, as per the question

⇒ 27.2x = 9,792

⇒ x = (9,792/27.2)

⇒ x = 360

Salary spent on rent = 12x = (12 × 360)

⇒ Rs. 4,320

∴ Required salary spent on rent is Rs. 4,320

Given:

Two successive discounts = 20% and 16%

Selling price = Rs. 504

Formula used:

Successive discount = D₁ + D₂ – (D₁ × D₂)/100

Selling price = {MP × (100 – D)/100}

Calculation:

According to the formula 

Substituting tje values in formula, we get

⇒ Successive discount = 20 + 16 – (20 × 16)/100

⇒ 20 + 16 – 3.2

⇒ 32.8%

Now,

⇒ 67.2% = Rs. 504

⇒ 1% = Rs. 7.5

⇒ 100% = Rs. 750

∴ The value of x is Rs. 750

Shortcut Trick Selling price = (x) × 80/100 × 84/100 = 504

x = 504 × 10000/ 128

x = 750

Given:

The average marks of 150 students = 50

The average marks of passed students = 54

The average marks of failed students = 30

Formula used:

Average = Sum of observations/Number of observations

Calculation:

Let the number of students who passed the examination be x

Let the number of students who failed the examination = (150 – x)

Sum of marks of 150 students = (150 × 50) = 7500

According to the question

⇒ 54x + 30(150 – x) = 7500

⇒ 54x + 4500 – 30x = 7500

⇒ 24x = 3000

⇒ x = 125

Now,

The number of students who failed the examination = (150 – 125)

⇒ 25

∴ The number of the students who failed is 25

Shortcut Trick 

⇒ 1/6 × 150 = 25

Given:

The perimeter of ΔABC and ΔDEF = 39.6 and 26.4 cm

Concept used:

If two triangles are similar, the ratio of their area will be the square of the ratio of the length of their respective sides.

Calculation:

According to the question

 ΔABC ~ ΔDEF

⇒ 39.6/26.4 = ΔABC/ΔDEF

⇒ 3/2

Now,

The ratio of the areas of ΔABC and ΔDEF = (3)²/(2)²

⇒ 9 : 4

∴ The required ratio is 9 : 4

Given:

Selling an article at 7/12 of its selling price 

Loss = 16%

He sells at original price = 90%

Formula used:

Profit = SP – CP

Profit% = (Profit/CP × 100)

Calculation:

According to the question

⇒ SP/12 = New SP/7

⇒ 16% = (16/100) = 4/25

Now,

Cost price of an article = 25

New selling price of an article = 21

⇒ 7New SP= 21

⇒New SP = 3

The selling price of an article = (3 × 12) = 36

Now,

⇒ (90% of 36)

⇒ (90/100 × 36)

⇒ 32.4

Profit = (32.4 – 25) = 7.4

Profit% = (7.4/25 × 100)

⇒ 29.6%

∴ The profit percentage is 29.6%.

Given:

∠PQR = 135° 

PQ = 8√2 cm

PR = 17 cm

Formula used:

Cosine rule - cosθ = (b² + c² – a²)/2bc

Calculation:

Let the value of b be x

According to the question

Cos 135° = [x² + (8√2)² – (17)²]/2 × x × 8√2

⇒ -1/√2 = (x² + 128 – 289)/(2 × x × 8√2)

⇒ -1/√2 = (x² – 161)/2 × x × 8√2

⇒ -16x = x² – 161

⇒ x² + 16x – 161 = 0

⇒ x² + 23x – 7x – 161 = 0

⇒ x(x + 23) – 7(x + 23) = 0

⇒ (x + 23) (x – 7) = 0

⇒ x = -23, 7

∴ The required value of QR is 7

Given:

x2 - 5√2x - 1 = 0

Calculation:

x2 - 5√2x - 1 = 0

Divide by x on both sides

⇒ x – 1/x = 5√2

⇒ x³ – 1/x³ = (5√2)³ + 3 × 5√2

⇒ x3 – 1/x³ = 250√2 + 15√2

⇒ x3 – 1/x³ = 265√2

∴ The required value is 265√2

Given:

Time taken to empty a full tank by Pipe A = 36 min

Time taken to empty a full tank by Pipe B = 45 min

Time taken to fill the tank by Pipe C = 15 min

B and C opened together = 15 min

Formula used:

Work = Efficiency × Time

Calculation:

LCM of 36, 45 and 15 is 180

Efficiency of A = 180/36 = 5 units/min

Efficiency of B = 180/45 = 4 units/min

Efficiency of C = 180/15 = 12 units/min

Efficiency of B and C together = (12 – 4) = 8 units/min

B and C opened for 15 min = (8 × 15) units

⇒ 120 units

Now,

Pipe A will empty the tank = (120/5) mins

⇒ 24 mins

∴ Required time is 24 mins

Given:

∠SQR = 24° 

Calculation:

∠QSR = 90° (Angle inscribed in a semicircle)

⇒ ∠SQR + ∠QSR + ∠QRS = 180° [sum of interior angles of a triangle is 180°]

⇒ 24° + 90° + ∠QRS = 180° 

⇒ 114° + ∠QRS = 180° 

⇒ ∠QRS = (180° – 114°)

⇒ ∠QRS = 66° 

Now,

∠QPS + ∠QRS = 180° [sum of pair of opposite sides of cyclic quadrilateral is 180°]

⇒ ∠QPS + 66° = 180° 

⇒ ∠QPS = (180° – 66°)

⇒ ∠QPS = 114° 

∴ The required value of ∠QPS is 114°

Given:

Length of train A = 329 m

Length of train B = 296 m

Speed of train A = 85 km/h

Speed of train B = 65 km/h

Formula used:

Time = Distance ÷ Speed

To convert km/h to m/sec, multiply the given value by 5/18

Calculation:

According to the question

⇒ [(329 + 296)/(85 + 65) × 18/5] m/sec

⇒ [(625/150) × 5/18] m/sec

⇒ [(625 × 18)/(150 × 5)] m/sec

⇒ (11,250/750) m/sec

⇒ 15 m/sec

∴ Required time is 15

Calculation:

The production of vehicle of type A in 2017 = 360

The production of vehicle of type A in 2018 = 420

Required percentage = [(420 – 360)/360 × 100]

⇒ (60/360 × 100)

⇒ 50/3

Now,

⇒ (420/50/3 × 100)

⇒ (420/3 × 50/100)

⇒ (140/2)

⇒ 70

The number (in thousands) of vehicle of type A produced in 2019 = (420 + 70)

⇒ 490

∴ Required production of type A vehicle in 2019 is 490

Calculation:

The actual production of ACs in February = 50

The target production of ACs over the period of five months = (60 + 30 + 80 + 90 + 100)

⇒ 360

The average target production of ACs over the period of five months = (360/5)

⇒ 72

Required percentage = [(72 – 50)/72 × 100]

⇒ (22/72 × 100)

⇒ 30.55% ~ 31%

∴ The required percentage is 31%

Given:

$sinθ = \frac{2√{ab}}{a+b}$

Formula used:

b² = h² –  p²

Calculation:

Sinθ = p/h = 2√ab/a + b

b2 = h2 – p²

⇒ b² = (a + b)² – (2√ab)²

⇒ b² = (a + b)² – 4ab 

⇒ b² = (a – b)²

⇒ b = (a – b)

Now,

cosθ = b/h = (a – b)/(a + b)

$\frac{cos\theta + 1}{cos \theta - 1}$ = [(a – b)/(a + b) + 1]/[(a – b)(/(a + b) – 1]

⇒ (a – b + a + b)/(a – b – a – b)

⇒ 2a/(-2b)

⇒ -a/b

∴ The required value is -a/b

Given:

The length of rectangle = 10 cm more than the side of square

The breadth of rectangle = 8 cm less than the side of the square

Formula used:

Area of square = a²

Area of rectangle = l × b

Perimeter of rectangle = 2(l + b)

Calculation:

Let the side of square be a 

According to the question

⇒ (a + 10)(a – 8) = a²

⇒ 2a – 80 = 0

⇒ 2a = 80

⇒ a = 40 cm

Now,

Length of rectangle = a + 10 = (40 + 10) = 50 cm

Breadth of rectangle = a – 8 = (40 – 8) = 32 cm

Perimeter of rectangle = 2(l + b)

⇒ 2(50 + 32)

⇒ 2 × 82 cm

⇒ 164 cm

∴ The perimeter of rectangle is 164 cm

Given:

The nine-digit number = 48x4923y8

Divisible by = 88

Concept used:

Divisibility rule of 8 - The last three digits of a number are divisible of 8

Divisibility rule of 11 - If the difference between the sum of the digits at odd places and even places equals 0 or divisible by 11 

Calculation:

We know that the last three digits of a number are divisible of 8

⇒ The number made from the last three digits without altering their position will be divisible by 8

⇒ Possible values of y = 2 and 6

⇒ y is the largest then, y = 6

Now, check the divisibility rule of 11

⇒ (4 + x + 9 + 3 + 8) – (8 + 4 + 2 + y) = 0 or 11

⇒ (4 + x + 9 + 3 + 8) – (8 + 4 + 2 + 6) = 0 or 11

⇒ (24 + x – 20) = 0 or 11

⇒ 4 + x = 0 or 11

Then, x = (11 – 4) = 7

Now,

⇒ (6x + 5y) = (6 × 7) + (5 × 6)

⇒ 42 + 30

⇒ 72

∴ The required value is 72

Given:

$\frac{3cos^227^\circ-5 + 3cos^263^\circ }{tan^232^\circ + 4 - cosec^2 58^\circ}$

Formula used:

sin²θ + cos²θ = 1

tan²θ = sec²θ - 1 'or' sec2θ - tan²θ = 1

Calculation:

According to the question

$\frac{3cos^227^\circ-5 + 3cos^263^\circ }{tan^232^\circ + 4 - cosec^2 58^\circ}$ + sin35° cos55° + cos35° sin55°

⇒ (3cos²27° – 5 + 3sin²27°)/(tan²32° + 4 – sec²32°) + sin35°sin35° + cos35°cos35° 

⇒ 3(sin²27°  + cos²27°) – 5/4 –  (sec232° - tan232 ) + (sin²35° + cos²35°)

⇒ [3(1) – 5]/(4 – 1) + 1

⇒ (3 – 5)3 + 1

⇒ -2/3 + 1

⇒ (-2 + 3)/3

⇒ 1/3

∴ The required value is $\frac{1}{3}$

Calculation:

The total number of vehicle of type A produced in 2015 and 2017 = (240 + 360)

⇒ 600

The total number of vehicles of type B produced in 2016 and 2017 = (225 + 255)

⇒ 480

Required ratio = (600 : 480)

⇒ 5 : 4

∴ The required ratio is 5 : 4

Mistake PointsNo. of vehicles of type B produced in 2017 = 255 and not 225.

Given:

∠DAP = 36° 

∠APC = 30° 

Calculation:

According to the question

∠ADC = ∠DAP +  ∠APC    [Ext. angle = sum of opp. int . angle]

⇒ ∠ADC = 36° + 30° = 66° 

So, ∠ABC = 66°   [angles is the same segment]

Since AD is a diametre 

So, ∠ABD = 90° 

⇒ ∠ABC + ∠CBD = 90° 

⇒ 66° + ∠CBD = 90° 

 ⇒ ∠CBD = 24° 

∴ The required value of ∠CBD = 24°

The correct answer is Worm.

Key Points

• A worm is a computer programme that can self-replicate and propagate over the network with or without human intervention and has malicious intent.
• Its purpose is to secretly duplicate itself into other computers.
• Unlike a computer virus, which "infects" other programmes in order to spread to new ones, worms are often self-contained programmes that do not require a "host."
• Worms typically do not require human intervention to spread across networks.
• Robert Morris, a computer science student at Cornell University, unleashed the first worm into the Internet from the Massachusetts Institute of Technology on November 2, 1988.
• Viruses and worms are a type of malicious software.
• Worms frequently take advantage of network configuration mistakes or security flaws in the operating system (OS) or applications.

Additional Information

• A kernel is computer software that runs at the core of the operating system and has complete control over all of the system's components.
• A Trojan Horse Virus is a sort of malware that disguises itself as a genuine programme and downloads into a computer.
• A computer virus is designed to spread from host to host and duplicate itself.

The correct answer is Economy budget.

Important Points

• Among the options, only an Economy budget is NOT a budget type.
• A government budget is an annual financial statement that outlines estimated government expenditures and expected government receipts or revenues for the forthcoming fiscal year.
• In India, it is a constitutional requirement  (Article 112) that the government give a statement of estimated income and expenditures to Parliament for each financial year that runs from April 1 to March 31.
• This 'Annual Financial Statement' is the government's primary budget document.
• Budgets are grouped into three categories based on these estimates:

1. Balanced budget.
2. Surplus budget.
3. Deficit budget.

Key Points

• A government budget is said to be a balanced budget if the estimated government expenditures in a given fiscal year are equal to the expected government receipts.
• A balanced budget ensures economic stability if implemented successfully.
• A balanced budget is Inapplicable in less developed countries as it limits the scope of economic growth.
• A government budget is said to be a surplus budget if the expected government revenues exceed the estimated government expenditure in a particular financial year.
• A country's financial wealth is indicated by a surplus budget.
• If the estimated government expenditure exceeds the expected government revenue in a given fiscal year, the budget is considered to be a deficit budget.
• A deficit budget is best suited for developing economies, such as India

The correct answer is 1928.

Key Points

• In India, the Bardoli movement was a tax-free movement.
• In the year 1928, the Bardoli Satyagraha took place.
• This movement was known as one of the biggest incidents of the Civil Disobedience movement, which was a part of India's war for independence.
• Sardar Vallabhbhai Patel eventually headed the movement, and its success helped pave the way for Patel to become one of the most prominent leaders of the independence struggle.

Important Points

• Sardar Vallabhbhai  Patel initially wrote to the Governor of Bombay, requesting that the taxes be reduced during the year during which the tragedies were occurring.
• The Governor, on the other hand, ignored the letter and responded by announcing the collection.
• The Bombay Presidency ignored the plight of the farmers and increased tax rates by 22%.
• Patel then informed all of the farmers in the Bardoli taluka to refuse to pay their taxes.
• The government had commissioned the Maxwell-Broomfield Commission to investigate the situation.
• Following a thorough investigation, the tax increase was determined to be only 6.03%.
• Gandhiji also supported the movement through his writings in the periodical 'Young India.'

The correct answer is 25 December.

Key Points

• On the 25^th of December, India commemorates Good Governance Day.
• Former Prime Minister Atal Bihari Vajpayee's birthday is commemorated on this day.
• In 2014, Good Governance Day was launched to honour Prime Minister Atal Bihari Vajpayee by raising public awareness of government accountability in India.
• In accordance with this philosophy, the Indian government has declared Good Governance Day to be a working day.
• The day aims to raise public awareness of government accountability among the country's population.
• The day was first celebrated in 2014.
• Atal Bihari Vajpayee and Pandit Madan Mohan Malaviya (posthumously) were awarded the Bharat Ratna on December 23, 2014.
• Following the declaration, Prime Minister Narendra Modi declared that Atal Bihari Vajpayee's birthday would be observed yearly in India as Good Governance Day.

The correct answer is Indian Council of Agricultural Research.

Key Points

• Indian Council of Agricultural Research is the full form of ICAR.
• ICAR is an autonomous body responsible for coordinating agriculture and research in India.
• It was established under the Department of Agricultural Research and Education (DARE).
• ICAR was formerly known as the Imperial Council of Agricultural Research
• In response to the Royal Commission on Agriculture's recommendations, it was founded on July 16, 1929, as a registered society under the Societies Registration Act, 1860.

Important Points

• New Delhi is the headquarters of the ICAR.
• The Council is the country's top organization for coordinating, supervising, and managing agricultural research and education, encompassing horticulture, fisheries, and animal sciences.
• ICAR is one of the world's largest national agricultural systems, with 111 ICAR institutes and 71 agricultural universities distributed around the country.

The correct answer is Shillong.

Key Points

• Kiren Rijiju, Union Minister of Youth Affairs and Sports inaugurated the Assam Rifles Public School (ARPS) as a Khelo India Sports School in Shillong.
• Currently, 9 Sports Schools have been approved across the country, with 5 of them being run by the military and paramilitary services.
• Assam Rifles Public School is the first Sports School to be launched under the Khelo India Scheme in the North-East.
• The government will now cover the costs of lodging, boarding, schooling, competition exposure, insurance & medical, sports training & support, salaries of coaches & support personnel, sports equipment, and more for the school's Talented Sports Students.
• A Khelo India Sports School's goal is to connect sports and education, thereby developing sports in the country and improving players' whole profile and viewpoint.
• This will also aid in the identification and development of talent in the North-East, rural, and tribal areas.
• Lt. Gen. Sukhdeep Sangwan, Director-General, Assam Rifles, was also praised by the Union Minister for his efforts in bringing various good reforms to the school over the years.

Additional Information

• In 2018, Khelo India was launched.
• Its goal is to improve the country's sports culture.
• The Rajiv Gandhi Khel Abhiyan, the National Sports Talent Search System, and the Urban Sports Infrastructure Scheme were merged to form Khelo India.
• "Sports for all" and "sports for excellence" are promoted in the programme.

The correct answer is Leh.

Key Points

• Union Minister of Earth Sciences Dr. Harsh Vardhan virtually inaugurates India’s highest Meteorological Centre in Leh, Ladak.
• It is located at 3,500 metres above sea level in Leh.
• The Leh centre is the second Meteorological Centre in the Himalayas, after Itanagar in Arunachal Pradesh.
• It would give localised weather predictions and early warnings for the Union Territory's Leh and Kargil districts, as well as various tourist destinations.
• All stakeholders will receive regular updates from the new meteorological centre, which will provide weather forecasts for short (3 days), medium (12 days), and long (1 month) periods.
• The India Meteorological Department (IMD) intends to set up ten Automatic Weather Stations (AWS) in key sites such as Drass, Kargil, Pangong Tso, Zanskar Valley, and Nubra Valley.
• Currently, India has 28 meteorological centres located throughout the country.
• The India Meteorological Department (IMD), the country's primary agency for meteorological observations and forecasting, relies on these centres to deliver accurate and timely weather-related information.