SSC CHSL Previous Paper 61 (Held On: 28 March 2018 Shift 3) (Previous Year Paper)

The correct answer is 'option 3'.

Key Points

• The error is in (3) 'which will be include in the journal'.
• It should be which will be included instead.
• The sentence indicates that the action will have been completed (finished or "perfected") at some point in the future.
• Thus, we use future tense in passive voice because the doer of the verb 'include' is somebody else hence, we need to use a passive voice.
• So, the correct answer is 'Option 3'.

Therefore the correct sentence is-  'I want you to write an essay which will be included in the journal.'

The correct answer is '(3)'.

Key Points

• The error is in (3) 'of our philosophy and cultural​'
• Since philosophy is a noun and lists together two similar things, the word philosophy goes with another noun.
• Hence, culture (noun) should be used in place of cultural (adjective).
• So, the correct answer is- 'Option 3'.

​Therefore, the correct sentence is-​ 'For peace and happiness in the world, we need to remind ourselves of our philosophy and culture.'

The correct answer is Has

Key Points

• If we look at the sentence carefully, we can figure out that every nation's currency is with Anita or is in Anita's possession in the form of a collection
• Let's look at each option:
• Has
• ​Has is a root verb most commonly used alongside the pronouns He / She / It and Who and Singular Nouns
• In general, has is a Present Tense word
• It is generally used to denote possession or consumption or action
• Thus this word correctly denotes the relationship between Anita and her collection
• Possess
• ​It is a verb meaning Have as an ability, quality, characteristic or acquirement
• Noun: Possession; Adjective: Possessive
• Since the subject Anita in the sentence is singular, the singular form of the verb, i.e., possesses should have been used for grammatical accuracy
• Thus, if this word was used with the subject Anita, it would be grammatically incorrect
• Is
• **​'Is' is an auxiliary singular present tense verb used to denote the application of characteristic or quality to an entity or to help make a sentence construction grammatically correct, e.g., He is a good boy
• Thus, if used in the blank above, it would imply Anita is the collection which is absurd
• Have
• ​It is the plural form of the root verb 'has'
• Since the subject Anita is singular, using 'have' here would violate subject-verb agreement

 

Thus the complete sentence is: Anita has a collection of every nation's currency

The correct answer is Arrives

Key Points

• Since the sentence is ending with the word 'daily', it talks about a habitual/repetitive/regular action/phenomenon/happening
• This type of verb is always presented in the Simple Present Tense, e.g., The Sun rises in the East
• Let's look at the tense used in each of the given options:

<br>

Thus the complete sentence is: The bus from Haridwar to Delhi arrives at 11:15 a.m. daily.

• Even if one of the options would have been the word **'comes', the most suitable answer would have remained unchanged.
• This is because in the context of bus timings, arrives/departs is a much more appropriate word than comes/goes.

The correct answer is Harmful.

Key Points

• Let us look at the meanings of the given word and the correct option.
• Noxious - harmful, poisonous, or very unpleasant. (हानिकारक, जहरीला या बहुत अप्रिय)
• For example- There was danger from burning and from noxious gases.
• Harmful - causing or likely to cause harm.(नुकसान पहुँचाने या होने की संभावना)
• For example- Many household products are potentially harmful.
• As you can see from the meanings of the two words, 'harmful' best expresses the meaning of 'noxious'.

Therefore, the correct answer is 'Harmful'.

Additional Information

• The meanings of the other words in the options are -
• Sterile - not able to produce children or young; lacking in imagination, creativity, or excitement; uninspiring or unproductive.(बच्चे या युवा पैदा करने में सक्षम नहीं; कल्पना, रचनात्मकता, या उत्तेजना में कमी; अनुत्साहक या अनुत्पादक)
• Wholesome - conducive to or suggestive of good health and physical well-being.(अच्छे स्वास्थ्य और शारीरिक कल्याण के लिए अनुकूल या विचारोत्तेजक)
• Curing - relieve (a person or animal) of the symptoms of a disease or condition.(किसी बीमारी या स्थिति के लक्षणों से राहत (एक व्यक्ति या जानवर)।)

The correct answer is 'Messenger'.

Key Points

• Let us see the meanings of the given word and the correct option -
• Herald - an official messenger bringing news.(समाचार लाने वाला एक आधिकारिक संदेशवाहक) 
• ​For example- The early flowers are heralds of spring.
• Messenger - a person who carries a message or is employed to carry messages.(एक व्यक्ति जो संदेश ले जाता है या संदेश ले जाने के लिए नियोजित)
• ​For example- There will be a messenger at the airport to collect the photographs from our courier.
• ​As you can see from the meanings of the two words, 'messenger' best expresses the meaning of 'herald'.

Therefore, the correct answer is- **'Messenger'.**​

Additional Information

• Let us see the meanings of the other words in the given options - 
• ​Flock - a number of birds of one kind feeding, resting, or travelling together.(एक ही प्रकार के कई पक्षी एक साथ भोजन करना, आराम करना या यात्रा करना)
• Newcomer - a person or thing that has recently arrived in a place or joined a group.(एक व्यक्ति या वस्तु जो हाल ही में किसी स्थान पर आई हो या किसी समूह में शामिल हुई हो)
• Old - having lived for a long time; no longer young.(लंबे समय तक जीवित रहना; अब जवान नहीं रहा)

The correct answer is Include. 

Key Points

• Let's look at the meaning of the given word and the correct option. 
• Preclude: Prevent someone from happening/ doing something.(किसी को कुछ होने/करने से रोकना) 
• For example- Bad weather precluded any further attempts to reach the summit.
• Include: To make someone a part of something.(किसी को किसी चीज का हिस्सा बनाना) 
• For example- The price of dinner includes dessert.
• Thus from the above points, we find that both the words have the opposite meaning.

Additional Information

• Let's look at the meaning of the other given options.  
• Prevent: To keep something from happening. (कुछ होने से रोकने के लिए)
• Impede: Delay or prevent by obstructing something. (किसी चीज में बाधा डालकर विलंब करना या रोकना)
• Stop: Come to an end; cease to happen. (निष्कर्ष पर आना)

The correct answer is Loyalist.

Key Points

Let's look at the meaning of the given word and the correct option. 

• Deserter: A member of the armed forces who deserts. (सशस्त्र बलों का वह सदस्य जो भगोड़ा हो जाता है)
• For example- The deserter has escaped.
• Loyalist: A person who remains loyal to the established ruler or government. (एक व्यक्ति जो स्थापित शासक या सरकार के प्रति वफादार रहता है)
• For example- His boisterous humour routinely sets off his loyalists.

Thus from the given points, it is clear that both the words express the opposite meanings. 

Additional Information

Let's look at the meaning of the other given options. 

• Criminal: A person who has committed a crime. (एक व्यक्ति जिसने अपराध किया है)
• Refugee: A person who has been forced to leave his or her country. (एक व्यक्ति जिसे अपना देश छोड़ने के लिए मजबूर किया गया हो)
• Runaway: A person who has run away, especially from a family or institution. ( एक व्यक्ति जो भाग गया है, विशेष रूप से एक परिवार या संस्था से।)

The correct answer is QRP

Key Points

• Let's look at the following points-
• Since the opening sentence has been given it denotes the subject of the context i.e. The Montreal Protocol; therefore we will find the part that continues the subject matter or connect it to the verb
• Q will be the 2nd part of the sentence as it continues the subject matter with action word i.e. that deplete the
• Option R will be the 3rd part of the sentence as 'the' is part Q has been used for the "ozone layer"
• Thus, as per the above-mentioned points, it is clear that part P will the last part of the context.
• So, according to above explanation 'Option 1' will be the correct answer.
  

Therefore, the correct sentence is- The Montreal Protocol on substances that deplete the Ozone layer, was signed in 1987 by more than 150 nations.

The correct answer is 'option 4'.

Key Points

• Let's look at the following points-
• The sentence is in Active voice (in simple past tense)
• The passive voice of the given context will be- Subject + Helping Verb (was/were) + Third form of verb + Object Of the sentence
• Out of all 4 given option, 4th shows the correct structure of the Passive voice for the given context.
• Sub (He) + Helping Verb (was) +  Third form of the verb (Blamed) + Object of the sentence (By his daughter).

Therefore, the correct sentence is- He was blamed for partiality by his daughter.

The correct answer is 'Pooja said that she wrote novels'.

Key Points

• We make changes in tenses of reported speech only when the reporting verb is in the past tense.
• When the reported speech is an assertive sentence, we follow these steps-
• Reporting verb 'said to' is changed into told.
• connector 'that' is used in place of commas.
• Tense of reported speech is changed accordingly. (in above sentence- 'write' changes into 'wrote')
• personal Pronouns of reported speech are changed as per subject and object of reporting verb. Here, the first person- 'I' will change into 'she' as per subject - 'Pooja'.

Therefore, the correct sentence is- " Pooja said that she wrote novels."

The correct spelling is Fallacious 

Key Points

• Fallacious: based on a mistaken belief.(गलत धारणा के आधार पर)
• For example: Their main argument is fallacious.
• Fallacious is an adjective.

Therefore, the correct answer is 'Option 3' i.e. Fallacious

The correct answer is 'An'.

Key Points

• The word excellent starts with the vowel 'e'.
• The pronunciation starts with a vowel sound.
• When pronunciation starts with a vowel sound we use article 'An' with it.
• So, according to above explanation 'An' is the correct answer.

Therefore, the correct sentence is- and that for an excellent reason. 

Important Points

• Also, we use a/an when we talk about a singular person or thing.

The correct answer is 'Though'.

Key Points

• Let's see the meaning of the given options.
• Though- despite the fact that
• Through- via; by
• Thorough- Careful
• Thought- Idea; imagination
• Here, we need a conjunction to fill the blank and among the given option 'Though' is only conjunction.
• So, the correct answer is 'Though'.

Therefore, the correct sentence is- Because, though there may be doubt

The correct answer is 'No'.

Key Points

• Let's see the meaning of the given options.
• No- Not any
• None-  Not any
• Never- At no time in the past or future; not ever
• Nothing- Not anything; No single thing
• Here, we need an determiner to fill the blank.
• So, 'Option 2-No' is the best suitable option.

Therefore, the correct sentence is- There is no doubt at all about the shape.

Additional Information

• Although, 'None' also means the same as 'No', but none is a pronoun and we cannot use a pronoun in the given blank.

The correct answer is Proposes.

Key Points

• The entire paragraph is in the Present Tense.
• Since the subject of the sentence is the phrase 'No doctor', the correct tense will be third person singular.
• We always use the singular verb with the determiners. (No, None, Every etc.)
• So, according to above explanation 'Proposes' is the best suitable choice.

Therefore, the correct sentence is- No doctor proposes to produce a new kind.

The correct answer is Necessity.

Key Points

• From the given context we can easily determine that the blank needs a noun.
• Among the given option 'necessity' is a noun.
• Necessity means the state or fact of being required.
• So, the correct answer is 'Option 3- Necessity'.

Therefore, the correct sentence is- The hospital, by necessity, may send a man​

Additional Information

• Let's see the meaning of other words-
• Necessary: needed to be done, achieved, or present; essential.
• Necessarily: it is the adverb form of 'necessary'
• Necessaries is not a valid word in English.

The correct answer is 'When somebody is treated to an expensive meal'.

Key Points

• Let's see the meaning of given idiom-
• Wine and dine means to entertain someone with food and drink, esp. expensive food and drink
• For example-  Colleagues were furious at doing her work while she wined and dined.

Therefore, the correct answer is 'Option 4' i.e. When somebody is treated to an expensive meal

Additional Information

• Hedonistic: engaged in the pursuit of pleasure; sensually self-indulgent

The correct meaning of the given idiom is 'To hope that things will happen in the way that you want them to'. 

Key Points

• To cross one's fingers is a hand gesture commonly used to wish for luck.
• Occasionally it is interpreted as an attempt to implore God for protection.
• The gesture is referred to by the common expressions "cross your fingers", "keep your fingers crossed", or just "fingers crossed". 
• ​Example: We will be keeping our fingers crossed that a quick thaw is on its way.
• So, according to the above explanation 'Option 4' is the best suitable choice.

Therefore, the correct answer is 'Option 4' i.e. 'To hope that things will happen in the way that you want them to'.

The correct one word for the word group given in the question is 'Honorarium'.

Key Points

• Let's understand the meaning of all the words given in options:
• Honorarium: a payment given for professional services that are rendered nominally without charge.(पेशेवर सेवाओं के लिए दिया जाने वाला भुगतान जो नाममात्र के लिए बिना किसी शुल्क के प्रदान किया जाता है)
• Forfeit: a fine or penalty for wrongdoing.(गलत काम के लिए जुर्माना या जुर्माना)
• Retribution: punishment inflicted on someone as vengeance for a wrong or criminal act; revenge.(किसी गलत या आपराधिक कृत्य के प्रतिशोध के रूप में किसी को दी गई सजा; बदला)
• Penalty: a punishment imposed for breaking a law, rule, or contract.(एक कानून, नियम, या अनुबंध को तोड़ने के लिए लगाया गया दंड)
• By the above explanations, we can say that option 1 i.e. Honorarium is the right substitute for the given word group.

 

Additional Information

• a payment made for somebody’s professional services when no particular amount is charged for those services.
• Example Sentence: We pay an honorarium of Rs 5000 to all our guest lecturers.

The correct answer is Option 4.

<br>

 Key Points

Let's take a look at the table below:

Clearly, Transmute best expresses the above-mentioned phrase.

​

 

Mnemonic trick

The correct answer is 'are living'.

 

• In a sentence, the verb must agree with the subject. The verb used is according to person and number.
• For example:
• ​He comes. (singular subject, singular verb)
• They come. (plural subject, plural verb)
• The subject 'we' is plural so it will take a plural verb i.e. 'are'.
• The sentence is in the present continuous tense so living will come along with 'are'.
• So, the correct answer is- 'Option 3'.

Therefore, the correct sentence is- The word we are living in is straight out of a dystopian novel.

The correct answer is No improvement

Key Points

• Began is past tense.
• Since he is asking something that happened before the action of asking, so use had with hunting. Hence ruling out options 1) and 2).
• Since he is alive, he isn't dead, so he hasn't been hunted down yet, therefore ruling out option 3).
• So, according to above explanation 'No improvement' is needed in the given sentence.

Therefore, the correct answer is- 'Option 4'. i.e. He began to ask about his enemies who had been hunting him.

The correct answer is '(BAC)'.

Key Points

• A can't be first since our own languages it doesn't make any sense, hence ruling out options 1) and 2).
• Languages consider foreign anymore = wrong. Languages aren't something that can consider or think, so option C can't be first.
• According to above explanation '(B)' is the best suitable sentence to place at first.
• So the correct answer is 'Option 4'.

Therefore, the correct sentence is- Even our own languages have contributed words to it that the native speakers hardly consider foreign anymore.

The correct answer is 'Perennially'.

Key Points

• The correct spelling is Perennially
• Parts of speech - an adverb
• Meaning:- in a way that continues for a long or apparently infinite time; permanently.(एक तरह से जो लंबे समय तक या स्पष्ट रूप से अनंत समय तक जारी रहता है; स्थायी रूप से)
• Synonyms- constantly, continually, continuously, incessantly, and perpetually.
• Antonyms- periodically, occasionally, intermittently,
• Usage in a sentence- "It is perennially tempting to suppose that there is something red and circular that the perceiver is aware of."

Additional Information Perennially sounds "permanently" and is one of the synonyms for it.

Perennially = permanently

Here, Pattern is such that second word is a place or space where the sport given in first word is played or performed i.e.

Tennis: Court → Tennis is played in Court or tennis court.

Let’s check all the options.

1. Sky: Yoga→ Here sky is not a sport and yoga is not a place it’s a sport.

2. Race: Room→ Here Race is not done in the room but on the ground.

3. Wrestling: Court → Here Wrestling is not played in Court but inside the Ring.

4) Skating: Rink → Here Skating is played in Rink or Skating rink.

Hence, the correct answer is " Skating: Rink ".

The logic followed here →

Second Number = (First Number + 5)

47: 52 → 47 + 5 = 52.

Similarly,

73: ? → 73 + 5 = 78.

Hence, the correct answer is " 78 ".

The pattern followed here is as follows,

Similarly,

Hence, the correct answer is " DHL ".

The logic used here,

→The 2^nd word is the place/home where the animal or bird of 1^st word lives or are kept.

Let's check each option as per the logic,

1. (Horse – Stable) → Stable is the place where horses live.

2. (Pig – Sty) → Sty or pigsty is the place where pigs live.

3) (Nest – Bird) → Bird is not a place where Nest live.

4. (Lion – Den) → Den is the place where Lions live.

Here, we can see that Only Option 3 doesn't satisfy the logic.

Hence, the correct answer is " (Nest – Bird) ".

The logic used here,

Second Number = (First Number)²

Let's check each option,

1. 12 – 144 → 144 = (12 × 12) 

2. 8 – 64 → 64 = (8 × 8) 

3. 18 – 324 → 324 = (18 × 18) 

4. 2 – 12 → 12 ≠ (2 × 2) → Doesn't satisfies the logic.

Here, we can see that only Option 4 doesn't satisfy the logic.

Hence, the correct answer is " 2 – 12 ".

The logic used here → (-6) is done to each letter's positional value to get the next letter of the cluster.

Let's check each option as per the logic,

1. QKE:

2. SLF:

3. WQK:

4. OIC:

Here, we can see that only Option 2 doesn't satisfy the logic.

Hence, the correct answer is " SLF ".

The correct order of the given words as they would appear in an  English dictionary sequence is:-

5. Terrain 1. Terrible 4. Testify 3. Thank less 2. Thaw

Thus, 5, 1, 4, 3, 2 will be the correct sequence.

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

The logic followed here is:-

Hence, the correct answer is "50".

Alternate MethodThe Logic followed here is:-

Hence, the correct answer is "50".

The pattern followed here is:-

Hence, the correct answer is "UUT".

Given → Shivani started running from her office

Clearly, we can see that Shivani is  in $\sqrt {{{16}^2} +68} = \sqrt {256 + 68} = \sqrt {324} = 18;km$ North-East direction from her office.

Hence, the correct answer is "18, North-East".

Let’s check each option,

1. NOTE → can be formed from TELEPHONE.

2. PHONE → can be formed from TELEPHONE.

3. LET → can be formed from TELEPHONE.

4. ELSE → cannot be formed because there is no ‘S’ in TELEPHONE.

Hence, the correct answer is " Else ".

The pattern here is each letter of the given two words is coded by a particular number as shown below:

Using the given information, BURN can be coded as,

Hence, the correct answer is " 9824 ".

The pattern followed here is:-

Hence, the correct answer is "GVM".

The logic followed here,

→ 1 and 2 is subtracted alternatively in the numbers to get the next number.

Hence, the correct answer is " 59 ".

Alternate Method The logic followed here,

→ 3 has been subtracted from the terms to get the next alternate term of the series.

Hence, the correct answer is " 59 ".

The logic followed here is:-

First number ÷ 2 = Second number and Second number ÷ 2 = Third number

Out of the given options, (46, 23, 11) is odd one because in all other options 2^nd number is half of the 1^st number and 3^rd number is half of the 2^nd number i.e.

1. (16, 8, 4) → 16 ÷ 2 = 8 and 8 ÷ 2 = 4.

2. (44, 22, 11) → 44 ÷ 2 = 22 and 22 ÷ 2 = 11.

3. (46, 23, 11) → 46 ÷ 2 = 23 and 23 ÷ 2 = 11.5

4. (52, 26, 13) → 52 ÷ 2 = 26 and 26 ÷ 2 = 13.

As can be seen that (46, 23, 11) doesn't follow the same logic.

Thus, (46, 23, 11) is odd one.

Hence, the correct answer is "(46, 23, 11)".

Given Equation → 16 × 20 ÷ 15 - 4 + 2 = ?

 

After replacing the signs with their code in the given equation, 

New Equation → 16 - 20 + 15 × 4 ÷ 2

According to the BODMAS rule,

= 16 - 20 + 15 × 4 ÷ 2

= 16 - 20 + 15 × 2

 = 16 - 20 + 30

= 46 - 20 

= 26

Hence, the correct answer is "26".

The given equation is: 16 ÷ 2 + 35 - 6 × 10 = 33

Let’s check each option,

1. ÷ and ×

→ 16 × 2 + 35 - 6 ÷ 10 = 33.

→ 32 + 35 - 6 ÷ 10 = 33.

→ 67 - 6 ÷ 10 = 33.

→ 66.4 ≠ 33.

→ LHS ≠ RHS.

2. × and -

→ 16 ÷ 2 + 35 × 6 - 10 = 33.

→ 8 + 210 - 10 = 33.

→ 208 ≠ 33.

→ LHS ≠ RHS.

3. - and +

→ 16 ÷ 2 - 35 + 6 × 10 = 33 

→ 8 - 35 + 60 = 33.

→ 33 = 33.

→ LHS = RHS.

4. ÷ and -

→ 16 - 2 + 35 ÷ 6 × 10 = 33.

→ 14 + 35 ÷ 6 × 10 = 33.

→ 14 + 58.3 = 33.

→ 72.3 ≠ 33.

→ LHS ≠ RHS.

Here, we can see that only Option 3 satisfy the equation.

Hence, the correct answer is " - and + ".

The pattern followed here is →

Two numbers are given separated by ‘Δ’. We get the answer by adding the two numbers and dividing it by 10 to get the answer.

Let A and B are two numbers such that AΔB then

AΔB = (A + B) ÷ 10

20Δ30 = (20 + 30) ÷ 10 = 50 ÷ 10 = 5.

90Δ40 = (90 + 40) ÷ 10 = 130 ÷ 10 = 13.

20Δ20 = (20 + 20) ÷ 10 = 40 ÷ 10 = 4.

Similarly,

90Δ80 = (90 + 80) ÷ 10 = 170 ÷ 10 = 17.

Hence, the correct answer is "17".

The pattern here is that ‘C’ and ‘D’ are two letters that appears on the left corner of second step of continuous series of ‘AB’. After the second step ‘CD’ is in the left most corner. Now C will replace its place with the letter which is to the immediate right of D. In the next step D will replace its place with the letter which is to the immediate right of C and this process continues as shown below:

ABABABAB, CDABABAB, ADCBABAB, ABCDABAB, ABADCBAB, ABABCDAB

Hence, the correct answer is " ABABCDAB ".

Given → Two siblings start from home to go to schools.

Clearly, we can see that the sister’s school is 7 km in South direction with respect to the brother’s school.

Hence, the correct answer is "7 km South".

Consider the following least possible Venn diagram,

Conclusions:

I. Some beverages are juices → False (It is not possible as no juices are beverages).

II. All juices are beverages → False (It is not possible as no juices are beverages).

Hence, the correct answer is " Neither conclusion I nor conclusion II follows ".

Here, rectangle represents Therapists, circle represents Racers, triangle represents Sculptors and square represents Boxers.

Clearly, Boxers who are Racers are represented by the intersection of square and circle i.e. I.

Hence, I is the correct alternative.

The mirror image of the question image will be:

Hence, the correct answer is " Option 3 ".

When the unfolded cube is folded, the following pairs of faces will be opposite to each other,

 → 

 → 

 → 

Now, let's check each option,

1) 

→

and 

are adjacent pairs in this cube which contradicts the pattern of opposite pairs. Thus, this cube can't be formed.

2) 

 → Follows the pattern of opposite pairs. 

3) 

 → Follows the pattern of opposite pairs.

4) 

 → Follows the pattern of opposite pairs.

Here, we can see that only cube in Option 1 cannot be formed.

Hence, the correct answer is " Option 1 ".

The pattern followed here is:-

A letter in the matrices is represented first by its row and then by its columns.

Checking point one by one to identify the set for the word ‘CURE’.

1) 21 → F ; 55 → V ; 14 → F ; 98 → N (so, the word formed is FVFN)

2. 43 → I ; 96 → O ; 20 → D ; 88 → S (so, the word formed is IODS) 

3) 24 → C ; 68 → U ; 69 → R ; 33 → E (so, the word formed is CURE)

4. 43 → I ; 87 → N ; 44 → J ; 89 → X (so, the word formed is INJX)

Thus, the correct option is "24, 68, 69, 33".

Deatialed solution:-

<br>

Let the number of students in the class be ‘x’

No. of chocolates received by each student = 2x

Total number of chocolates = 2x × x

⇒ 2x² = 1800

⇒ x² = 900

⇒ x = √900 = 30

∴ There are 30 students in the class.

GIVEN:

Sum of four consecutive odd numbers is 328

CALCULATION:

Let the numbers be x, (x + 2), (x + 4) and (x + 6)

Sum of the numbers = x + x + 2 + x + 4 + x + 6 = 4x + 12

⇒ 4x + 12 = 328

⇒ 4x = 328 – 12 = 316

⇒ x = 316/4 = 79

∴ The largest number = x + 6 = 79 + 6 = 85 

<br>

∴ The required answer is  85.  

Shortcut Trick

<br>

⇒ Sum of 'N' consecutive odd/even numbers = n(x + n -1)

<br>

As per the question,

<br>

⇒ 4(x + 3) = 328 

<br>

⇒ x + 3 = 82 

<br>

⇒ x = 79

Four consecutive odd numbers = 79, 81, 83, and 85

∴ The largest number = 85

The intersection points of the lines are the vertices of the triangle

The given equations are∶

x = 3y ----(1)

x – y = 4 ----(2)

x + y = 4 ----(3)

Substituting eq. (1) in eq. (2), we get,

⇒ 3y – y = 4

⇒ y = 4/2 = 2

⇒ x = 3(2) = 6

Substituting eq. (1) in eq. (3), we get,

⇒ 3y + y = 4

⇒ y = 4/4 = 1

⇒ x = 3(1) = 3

Substituting eq. (2) in eq. (3), we get,

⇒ y + 4 + y = 4

⇒ y = 0

⇒ x = 4

Hence, the three vertices of the triangle are A(6,2), B(3,1) and C(4, 0)

For the given coordinates of the vertices of a triangle ABC, the area is computed as,

Area = | [A_x (B_y – C_y) + B_x (C_y – A_y) + C_x (A_y – B_y)]/2 |

∴ Area of the given triangle = | [6(1 – 0) + 3(0 – 2) + 4(2 – 1)]/2 | = | (6 – 6 + 4)/2 | = 2 sq. units.

Given equations,

4x – 9y + 13 = 0 ----(1)

2x + 3y – 13 = 0 ----(2)

Multiplying eq. (2) by 2 and subtracting from (1), we get,

⇒ 4x – 9y + 13 – 4x – 6y + 26 = 0

⇒ 15y = 39

⇒ y = 39/15 = 2.6

Substituting in (2),

⇒ x = [13 – 3(2.6)]/2 = 2.6

∴ There is only 1 solution that the given pair of linear equations have

For a given circle of radius R, and an arc with central angle C,

Arc length = 2πR × (C/360°)

Given, arc length = 16π and C = 240°

⇒ 16π = 2πR × (240°/360°)

⇒ R = 16 × 3/4 = 12 units

∴ The radius of the circle is 12 units

Given:-

<br>

The area of triangle = 18√3

<br>

Formula used:-

Area of an equilateral triangle = (√3/4) × (side)² 

<br>

Calculation:-

⇒ (√3/4) × (side)² = 18√3

⇒ (side)² = 18 × 4 = 72

∴ Side of the triangle = √72 = 6√2 units

Given:-

8% of (Rahul’s salary) = 2250

<br>

Calculation:-

⇒ Rahul’s salary = 2250/0.08 = Rs. 28125          (8/100 = .08)

Now,

Rahul’s salary = (100 + 50)% of (Rohit’s salary) = 1.5 × (Rohit’s salary)

∴ Rohit’s salary = 28125/1.5 = Rs. 18750  

<br>

∴ The required answer is 18750.

Detailed solution:-

<br>

Let the cost of the table and the chair be ‘9x’ and ‘4x’ respectively

<br>

As per the question;

⇒ 9x – 4x = 1250

⇒ 5x = 1250

⇒ x = 1250/5 = 250

∴ Cost of the chair = 4(250) = Rs. 1000

GIVEN:

Ratio of X and Y in 165 litres of mixture = 6 ∶ 5

FORMULA USED:

Ratio of X and Y in new mixture = Quantity of liquid X in new mixture : Quantity of liquid Y in new mixture

CALCULATION:

Quantity of liquid Y in 165 litres = (5/11) × 165 = 75 litres

When 5 litres of liquid Y is added,

Quantity of new mixture = 165 + 5 = 170 litres

Quantity of liquid Y in new mixture = 75 + 5 = 80 litres

Quantity of liquid X in new mixture = 170 – 80 = 90 litres

∴ Ratio of X and Y in new mixture = 90 ∶ 80 = 9 ∶ 8

Detailed solution:-

<br>

Sum of the 8 numbers = 8 × 40 = 320

Sum of first 3 numbers = 3 × 46 = 138

Sum of next two numbers = 2 × 50 = 100

Let the 6^th number be ‘x

⇒ 7^th number = x + 6

⇒ 8^th number = x + 10

Hence,

⇒ 138 + 100 + x + x + 6 + x + 10 = 320

⇒ 3x = 320 – 254

⇒ x = 66/3 = 22

∴ The 8^th number = 22 + 10 = 32

Given:-

<br>

(1) Principal (P)= Rs. 15000,

<br>

(2) R = 20%

<br>

Formula used:-

The compound interest on a sum of Rs. P at R% per annum in one year, 

When compounded annually, CI = P[(1 + R/100) – 1] = PR/100

When compounded half-yearly, CI = P[(1 + R/200)² – 1] 

<br>

Calculation:-

When compounded annually, 

<br>

⇒ CI = (15000 × 20)/100 = Rs. 3000

When compounded half-yearly,

<br>

⇒ CI = 15000 × [(1 + 20/200)² – 1]  

<br>

⇒ CI = 15000 × 0.21 = Rs. 3150

∴ Extra interest = 3150 – 3000 = Rs. 150  

<br>

∴ The required answer is 150.

Given:

Profit of X = 20%

Profit of Y = 23%

Concept used:

C.P in case of profit = (100 + P%) of C.P

Calculation:

Let the cost price of shoes for X be Rs. A.

Profit of X = 20%

Cost price for Y = Selling price of X = (100 + 20)% of A = 1.2A

Profit of Y = 23%

Price for Z = Selling price of Y = (100 + 23)% of 1.2A = 1.23 × 1.2A = 1.476A

⇒ 1.476A = 3321

⇒ A = 3321/1.476 = 2250

∴ Cost price of shoes for X is Rs. 2250

Detailed solution:-

<br>

Marked price = Rs. 3200

<br>

Selling price = Marked price – Discount  

<br>

⇒ (100 – 20)% of (100 – 10)% of 3200

⇒ 0.8 × 0.9 × 3200 = Rs. 2304

∴ Total discount = 3200 – 2304 = Rs. 896

Since the options are based on inequality, we can initially assume the nearest perfect cubes and then proceed to solve the question.

As we know, ∛8 = 2

We can write,

⇒ ∛9 > 2        ----(1)

Similarly, ∛125 = 5

⇒ ∛126 > 5    ----(2)

Also, ∛216 = 6

⇒ ∛217 > 6     ----(3)

Adding the three equations, we get,

⇒ ∛9 + ∛126 + ∛217 > 2 + 5 + 6

⇒ ∛a > 13

⇒ a > (13)³

∴ a > 2197

Given:-

<br>

(1) X can do a work in 27 days,

<br>

(2) Y will do the same work in 27/2 days 

<br>

Formula used :-

<br>

(1)Work Done = Time Taken × Rate of Work.

<br>

(2) Rate of Work = 1 / Time Taken.

<br>

(3) Time Taken = 1 / Rate of Work.

<br>

Calculation:-

1-day work of X = 1/27

1-day work of Y = 2/27

∴ When they work together, part of work done in 1 day = 1/27 + 2/27 = 3/27 = 1/9 

<br>

 ∴ The required answer is 1/9 .

Given:-

<br>

The speed of train = 72 km/hr 

<br>

Formula used:-

1)Time taken by train to cross a pole = length of train/speed of train

<br>

2. 1 km/hr = 5/18 (m/sec)
   

<br>

Calculation:- 

<br>

The speed of train = 72 km/hr = 72 × (5/18) = 20 m/sec.

∴ Time taken = 200/20 = 10 sec. = 10/60 = 1/6 min.  

<br>

∴ The required answer is (1/6) min.

From the given graph, it can be seen that∶

Lowest monthly profit = Rs. 150 thousand

Second lowest monthly profit = Rs. 200 thousand

∴ Department E has the second lowest monthly profits

Monthly profit of department G = Rs. 350 thousand

Monthly profit of department B = Rs. 600 thousand

∴ Required ratio = 350 ∶ 600 = 7 ∶ 12

Monthly profit of department F = Rs. 500 thousand

Monthly profit of department B = Rs. 600 thousand

∴ The monthly profit of department B is greater than that of department F by = [(600 – 500)/500] × 100 = 20%

Total monthly profit of the seven departments = 400 + 600 + 300 + 150 + 200 + 500 + 350

= Rs. 2500 thousand

∵ Total monthly profit = 20% of Total monthly revenue

∴ Total monthly revenue of company = (2500 × 10³)/0.2 = Rs. 125 × 10⁵ = Rs. 125 lakhs

Detailed solution:-

<br>

Let the length of the rectangle be ‘l’ cm

Breadth (b) = 7 cm

Diagonal (d) = 25 cm

Using Pythagoras's theorem, we have,

⇒ d² = l² + b²

⇒ l² = 25² – 7² = 625 – 49 = 576

⇒ l = √576 = 24 cm

∴ Area of rectangle = length × breadth = 24 × 7 = 168 cm²

<br>

∴ The required answer is 168.

Shortcut Trick

For a semicircle, the area is (1/2) × π × r² = 77 cm².

⇒ (1/2) × (22/7) × r² = 77 ⇒ (11/7) × r² = 77 ⇒ r² = 49 ⇒ r = 7 cm.

The perimeter of a semicircle can be calculated directly as (36/7) × r (since π + 2 = 22/7 + 14/7 = 36/7).

⇒ Perimeter = (36/7) × 7 = 36 cm.

∴ The correct answer is 36 cm.

Alternate Method

r Area = 77 cm² Perimeter = ?

Given:

Area of the semicircle = 77 cm²

Formula Used:

Area of a semicircle = (1/2) × π × r²

Perimeter of a semicircle = π × r + 2 × r

Calculations:

⇒ (1/2) × (22/7) × r² = 77

⇒ (11/7) × r² = 77

⇒ r² = 77 × 7 ÷ 11

⇒ r² = 7 × 7 = 49

⇒ r = √49 = 7 cm

Now, calculate the perimeter of the semicircle:

⇒ Perimeter = r × (π + 2)

⇒ Perimeter = 7 × (22/7 + 2)

⇒ Perimeter = 7 × (36/7)

⇒ Perimeter = 36 cm

∴ The correct answer is 36 cm.

Additional Information

Circle Properties

The area of a full circle is πr² and its total circumference is 2πr.

Semicircle Perimeter

Unlike the area, the perimeter of a semicircle includes the straight diameter edge. Total Perimeter = πr + 2r.

Quadrant of a Circle

A quadrant is one-fourth of a full circle. Its Area = πr²/4 and its Perimeter = πr/2 + 2r.

Given:-

<br>

Radius of cylinder = 21/2 = 10.5 cm

Height = 10 cm

<br>

Formula used:-

∵ The total surface area of a cylinder with radius ‘r’ and height ‘h’ = 2πrh + 2πr² 

<br>

Calculation:-

∴ Total surface area of given cylinder = 2 × (22/7) × 10.5 × 10 + 2 × (22/7) × 10.5 × 10.5

 = 660 + 693 = 1353 cm²  

<br>

∴The required answer is 1353.

Given, in ∆XYZ, ∠Y = 90° and ∠X = 60°

Sum of angles of a triangle = 180°

⇒ ∠X + ∠Y + ∠Z = 180°

⇒ 60° + 90° + ∠Z = 180°

⇒ ∠Z = 180° – 150° = 30°

∴ (cot Z + 2) = cot 30° + 2 = √3 + 2

Detailed solution:-

<br>

In the given ∆ABC,

tan A = opposite/adjacent = BC/AB = 12/5

Given, AB = 1 cm

∴ BC = tan A = 12/5 = 2.4 cm. 

<br>

∴ The required answer is 2.4.

The correct answer is International Monetary Fund.

Key Points

• Special Drawing Rights (SDRs):-
• These are assets that are maintained by the IMF.
• The unit of SDR is XDR.
• These rights were created in 1969.
• There are only five currencies in the world which are associated with SDR and those currencies are the Chinese Yuan, Japanese Yen, American dollar, Euro, and Pound Sterling.
• International Monetary Fund:-​
• The International Monetary Fund (IMF) is an organization of 189 member countries.
• The IMF also known as the Fund, was conceived at a UN conference in Bretton Woods New Hampshire, United States, in July 1944.
• The 44 countries at that conference sought to build a framework for economic cooperation to avoid a repetition of the competitive devaluations that had contributed to the Great Depression of the 1930s.
• IMF funds come from two major sources - Quotas and Loans.
• Headquarters - Washington D.C., United States.
• President - Kristalina Georgieva.

Additional Information

• World Bank:- 
• The World Bank is an international financial institution that provides loans and grants to the governments of low- and middle-income countries for the purpose of pursuing capital projects.
• It comprises two institutions: the International Bank for Reconstruction and Development (IBRD), and the International Development Association(IDA).
• The headquarters of the World Bank is in Washington D.C. of the United States of America(USA).
• It has a total membership of 189 countries.
• It was established in the year 1945.
• Reserve Bank of India:-​
• RBI was established in India on 1st April, in Kolkata in 1935 under the Reserve Bank Of India Act, 1934.
• It was set up on the recommendation of the Hilton Young Commission.
• RBI is the central bank of India and is responsible for the issue and supply of Indian currency.
• RBI is the regulatory body of the Indian Banking system and it is also managing a country's Payment system.
• World Trade Organization:-
• WTO is headquartered in Geneva, Switzerland.
• The World Trade Organization (WTO) is the only global international organization dealing with the rules of trade between nations.
• The WTO facilitates trade in goods, services, and intellectual property among participating countries by providing a framework for negotiating trade agreements.
• It aims to reduce or eliminate tariffs, quotas, and other restrictions; these agreements are signed by representatives of member governments

The correct answer is Second. 

Key Points

• The Khadi and Village commission was set up by the Govt. of India under the Khadi and Village Industries Commission Act of 1956. Its headquarters is in Mumbai. It is a statutory body. It comes under the Ministry of Micro, Small and Medium enterprises.
• The success of the First Five-year plan enhanced the confidence of the leaders. The agriculture growth aim in the first plan was attained, so the government quickly started looking beyond agriculture. The second five-year plan targeted the industry, specifically heavy industry. The target of a 25% enhancement in the national income was prescribed through instant industrialization.
• The second five-year plan was designed on the basis of the so-called Mahalanobis model. This was actually the USSR model Indianized by PC Mahalanobis, the father of the Indian Statistical Institute, and a close aide of Nehru.
• This model is considered to have set the statistical base for state-directed investments and established the intellectual underpinnings of the license-raj through a well-explained input-output model. This Model recommended that there should be a focus on the heavy industries, which can take the Indian Economy to a long-term greater growth path*. The* second five-year plan and Industrial policy Resolution 1956, which cleared the path for the improvement of the Public Sector and license raj; were based upon this model.

Additional Information

• Five-year plans details are as below-
• 1. First - 1951-1956, it was based on the Harrod-Domar Model.
• 2. Second - 1956-61, PC Mahalanobis Model.
• 3. Third- 1961-66 - Gadgil Plan
• 4. Plan Holidays - 1966-69
• 5. Fourth - 1969 to 1974, under the leadership of Indira Gandhi.
• 6. Fifth - 1974-78, focused on Garibi Hatao.
• 7. Rolling Plan  - 1978 to 1980.
• 8. Sixth - 1980 to 1985, based on Investment Yojna.
• 9. Seventh - 1985-90, under Rajiv Gandhi's leadership.
• 10. Annual Plans - 1990-92.
• 11. Eight Plan - 1992-97, priority given to the development of human resources.
• 12. Ninth Plan - 1997-02, focused on 'growth with justice and equality'.
• 13. Tenth Plan - 2002-07 - focused to double per capita income.
• 14. Eleventh Plan - 2007-12 - prepared by C Rangarajan.
• 15. Twelfth Plan - 2012-17- the theme was 'faster, more inclusive, and sustainable growth'.

The correct answer is Sultan of Bijapur.

Key Points

• The French East India Company acquire Pondicherry from the Sultan of Bijapur.
• French came to India in 1664 and started their trading activities. At the same time, they were also finding new ways to expand in India.
• Pondicherry is made up of four regions like Yanam, Mahe, Karaikal and Pondicherry.
• In 1962, the French gave Pondicherry to Indian Government by a treaty.

The correct answer is Lord Dalhousie

Key Points

• Lord Dalhousie started the postage stamps in India in 1854 which gave Indians a new way to communicate through postcards in those years.
• However, it was a step to make the British Empire efficient in terms of fast communication during the struggle for freedom.
• He served as governor-general of India from 1848-1856.
• The first attempt towards railway construction in India was made by Lord Dalhousie in 1853 AD.
• It was laid between Bombay to Thane at the time of Dalhousie.
• The last expansion of British Indian territory took place during Dalhousie.
• During his tenure, a separate public Works Department was created for the first time.

Additional Information

• Lord Ripon (1880-1884)
• He is known as the father of local self-government as the resolution was passed in his tenure.
• The first factory act (1881) was passed him which prohibited working children below seven years and a limited number of working hours for children below 12 years.
• He also increased the age requirement for civil services from 18 years to 21 years.
• He repealed Vernacular Press Act and allowed freedom of the press.
• He continued the policy of financial devolution inaugurated under Lord Mayo
• Lord Lytton​
• The Vernacular Press Act (1878)
• The Arms Act (1878)
• The Second Afghan War (1878-80)
• Queen Victoria assumed the title of ‘Kaiser-i-Hind’ or Queen Empress of India
• Lord Canning
• Revolt of 1857
• Establishment of three universities at Calcutta, Madras, and Bombay in 1857
• Abolition of East India Company and transfer of control to the Crown by the Government of India Act, 1858
• Indian Councils Act of 1861

The correct answer is at the time of the volcanic eruption

Key Points

• A volcano is an opening in the earth's crust through which gasses, and molten rocks material. ash. stream, etc are emitted outward in the course of an eruption.
• Types of Volcanoes
• Sheild volcanoes
• Composite volcanoes
• Caldera
• Flood Basalt Provinces
• Mid-Ocean Ridge volcanoes
• Volcanoes are also classified as
• Active volcanoes - An active volcano is a volcano that has had at least one eruption during the past 10,000 years.
• Dormant volcanoes- A dormant volcano is an active volcano that is not erupting but is supposed to erupt again.
• Extinct volcanoes- An extinct volcano has not had an eruption for at least 10,000 years and is not expected to erupt again in a comparable time scale in the future.

The correct answer is 1953 AD``

Key Points

• Edmund Hillary and Tenzing Norgay were the first people to climb Mount Everest.
• They achieved this feat together on May 29, 1953.
• Edmund Hillary was from New Zealand.
• Tenzing Norgay was a Nepali Indian mountaineer, belonging to the Sherpa tribe.

Important Points

• Mount Everest is the tallest peak in the world
• Its height is 8848m(its height is increasing)
• It is located in the Greater Himalayas in Nepal
• It runs along the border of Nepal and China
• It can be accessed through Nepal as well as China
• Most of the expeditions of the Himalayas takes place from Nepal.

The correct answer is Ghumar

Key Points

• Ghoomar or Ghumar is a traditional folk dance of Rajasthan.
• It was the Bhil tribe who performed it to worship Goddess Sarasvati which was later embraced by other Rajasthani communities.
• The dance is chiefly performed by veiled women who wear flowing dresses called ghaghara.

Additional Information

The correct answer is Myanmar.

Key Points

• Kaladan multi-modal transport project:-
• Kaladan multi-modal transport project is the main project between India and Myanmar.
• It will connect the Eastern seaport of Kolkata with the Rakhine state.
• It will reduce the distance between Kolkata and Sittwe by a great margin i.e. 1328 Km.
• Kaladan is a river in Myanmar from which this name has been taken.
• Being a key connectivity project, it will promote economic, commercial and strategic links between India and Myanmar.
• The transit route envisaged between Kolkata (nearest Indian port / commercial hub) and Mizoram as per the current implementation programme (after revision of the DPR for Port & Inland Water Transport components by Inland Waterways Authority of India in 2009) comprises of following segments:-

The correct answer is Manmohan Singh

Key Points

• Indira Gandhi Peace Prize was established in 1986.
• This price is given in the field of promoting international peace around the world.
• It is awarded by the Gandhi Memorial Trust in memory of Indira Gandhi.

The correct answer is Maithili

Key Points

• Maithili:
• Maithili is an Indo-Aryan language native to the Indian subcontinent, mainly spoken in India and Nepal.
• In India, it is spoken in the states of Bihar and Jharkhand and is one of the 22 recognized Indian languages.
• In Nepal, it is spoken in the eastern Terai and is the second most prevalent language of Nepal.
• Tirhuta was formerly the primary script for written Maithili.
• Less commonly, it was also written in the local variant of Kaithi.
• It is written in the Devanagari script.
• Maithili language in Bihar is included in the Eighth Schedule of the Indian Constitution by the 92nd Constitutional Amendment Act, 2003.

The correct answer is 8.

Explanation:

• That is the maximum number of electrons you can have in the valence, i.e outermost shell is 8.

• The number of electrons present in the outermost orbit of an atom is called Valency.

• As every atom tries to reach the octet configuration (8 Electrons in Outer most orbit) and thereby has a full outer shell.

• Each shell can contain only a fixed number of electrons. The general formula is that the nth shell can in principle hold up to 2n² electrons.2n22�2 electronsUnknown node type: span[Math Processing Error]2�2 electronsUnknown node type: span

  2n2

• An element attains stability when it achieves either a duplet or octet configuration.

• An octet configuration means that the outermost orbit/ Valence shell of electrons has 8 electrons in it and the duplet has 2 electrons in its outermost orbit/ Valence shell.

• An example of both duplet and octet configuration is water (H₂O) in which oxygen gets its octet configuration and Hydrogen gets its duplet configuration.

The correct answer is only I and  II.

Explanation:

• In saturated carbon compounds, a compound has a chain of atoms linked together by single bonds.

• In unsaturated compounds, atoms are linked together by double and triple bonds like alkenes and alkynes.

• Alkanes are saturated hydrocarbons that contain a single bond.

• Saturated hydrocarbon contains a carbon-carbon and carbon-hydrogen single bond.

• Hydrocarbons: All carbon compounds which contain only carbon and hydrogen are called hydrocarbons.

• The general Formula for Alkanes is CnH2n+2.

• Example: Ethane (C2H6)

• Alkynes are unsaturated hydrocarbons that contain one or more triple bonds.

• Unsaturated hydrocarbon: They contain carbon-carbon multiple bonds such as double bonds, triple bonds etc.

• The general formula for Alkynes is CnH2n-2.

• Example: Acetylene (C2H2).

• Alkenes are unsaturated hydrocarbons that contain one or more double Bonds.

• The general formula for Alkenes is CnH2n.

• Example: Ethylene (C2H4).

The correct answer is Prorogation

Key Points

• It is the process from one session to another session. Prorogation terminates a session.

Additional Information

The correct answer is State Emergency

Key Points

• State emergency is also known as the President’s rule in laymen's language.
• A state emergency can be proclaimed on the order of the President with advice from the council of ministers.
• It is entertained under article 356 of the Indian Constitution.

Additional Information

The correct answer is Cartilage.

Explanation:

• Rings of cartilage are present in the throat to ensure that the air passage does NOT collapse.
• Cartilage is a flexible tissue which is present in the windpipe or trachea. It helps the windpipe to move while breathing. It does not contain blood vessels or nerves.

The correct answer is Cell theory.

Explanation:

Cell theory was a revolution in the evolution of animals on Earth. It is a very basic theory on which the kingdom of organisms depends because each organism, unicellular or multicellular starts with a cell, the basic unit of life.

The correct answer is 115.

Key Points

• In November 2017, at the first meeting of Prabhari Officers, a Major Policy initiative was launched for the transformation of 115 backward districts across the country.
• This initiative was taken as a step towards making New India the vision of Prime Minister Narendra Modi.
• Of these 115 districts in which 35 are affected by left-wing extremism violence, 55 are LWE affected and another 15 are affected by the terrorism in Kashmir valley.

The correct answer is Excitonium

Key Points

• Excitonium is made up of a kind of boson.
• A boson can allow a matter to behave as a superconductor or superfluid or even an electronic crystal.
• It is a condensate form of excitons, according to researchers.

The correct answer is P-notes

Key Points

• P-notes are called participatory notes in business terms.
• P-notes are used by foreign or overseas investors to invest in the Indian stock market. Only those investors can invest who are registered with the SEBI.

The correct answer is RBI.

Key Points

• NABARD Bill 2017 seeks to amend NABARD Act, 1981. In the amended act, govt. is going to take 51% stakes in the NABARD. Govt. is going to share the capital which is held by the RBI.
• NABARD is responsible for providing loans and credit facilities in rural and agricultural areas.

Additional Information