The correct answer is: Option 2.

Key Points

• The word "Persistance" is incorrectly spelt. The correct spelling is "Persistence". (दृढ़ता)
• Example: Her persistence in the face of adversity is truly admirable.
• "Persistence" refers to the quality of continuing steadily despite problems or difficulties. (दृढ़ता)
• Example: His persistence in learning a new language paid off when he became fluent in Spanish.

Therefore, the correct answer is: Option 2.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Tolerance (सहनशीलता): The ability or willingness to tolerate something, in particular the existence of opinions or behavior that one does not necessarily agree with.
• Example: Tolerance is essential in a multicultural society.
• Insistence (आग्रह): The fact or quality of insisting that something is the case or should be done.
• Example: Her insistence on doing things her own way often leads to disagreements.
• Endurance (धैर्य): The ability to endure an unpleasant or difficult process or situation without giving way.
• Example: Marathon running requires not just speed but also tremendous endurance.

The correct answer is "Suspicious"

Key Points

• Let's see the meanings of the given words-
• Paranoid- wrongly believing that other people are trying to harm you or are saying bad things about you (इस मिथ्‍या संदेह से ग्रस्‍त कि अन्‍य लोग हानि पहुँचाना चाहते हैं या दुर्व्यवहार कर रहे हैं)
• Suspicious- feeling that somebody has done something wrong, dishonest or illegal (जिसे किसी बात के ग़लत, अनुचित या ग़ैर-क़ानूनी होने का अहसास हो, संदेही या संशयी, संदेहग्रस्‍त या संशयग्रस्‍त)
• Patronising- to treat somebody in a way that shows that you think you are better, more intelligent, experienced, etc. than he/she is (किसी अन्‍य व्‍यक्ति को अपने से छोटा, कम बुद्धिमान और अनुभवी समझ कर उस पर कृपाभाव का व्‍यवहार करना)
• Impeccable- without any mistakes or faults; perfect (निर्दोष, त्रुटिहीन; परिपूर्ण)
• Insignificant- of little value or importance (महत्वहीन, उपेक्षणीय, नगण्य, निरर्थक)
• Hence, the nearest synonym of the given word is 'Suspicious' i.e. Option 1.

The correct answer is 'Had you not interfered'

Key Points

• The given sentence is a third conditional sentence in which the structure is- Had + subject + third form of the verb, Subject + would + have + V₃
• Hence, we need to use the third form of the verb 'interfere' i.e. 'interfered'
• Hence, the correct sentence is Had you not interfered in my affairs, I would have been in the US now.

Additional Information

• Mostly the students get confused with 'had had' structure also when the sentence has single 'had'.
• Had had- means the former had is an auxiliary verb and the latter had is a main verb i.e. third form of the verb 'have'
• She felt marvelous after she had had a good night’s sleep.
• 'had'- whenever the subordinate clause has single 'had' then we quickly understand that the sentence belongs to second conditional.

The correct answer is 'Honest'

Key Points

• Let's see the meanings of the given words-
• Clandestine- secret and often not legal (गुप्‍त और प्रायः ग़ैर-क़ानूनी)
• Honest- telling the truth; not lying to people or stealing (सत्‍याचरण करने वाला, ईमानदार; चोरी आदि असत्‍याचरण न करने वाला)
• Heavy- weighing a lot; difficult to lift or move (भारी; जिसे उठाना या हिलाना मुश्किल हो)
• Dressed- to put clothes on somebody or yourself (कपड़े पहनना या पहनाना)
• Opaque- that you cannot see through (अपारदर्शी)
• Hence, according to the meanings of the given words, the correct answer is Option 1.

The error lies in Option 1 i.e. 'than hospitalise'

Key Points

• In the given part, the usage of 'hospitalize' is incorrect instead of this we need to use 'hospitalization'.
• 'Hospitalise' is a verb but here we need a noun because parallelism will be followed and "Isolation" is a noun.
• The meaning of the word 'hospitalise' is to admit or cause (someone) to be admitted to hospital for treatment.

Hence, the correct sentence is- Doctors say that home isolation is far more effective than hospitalization in cases of mild infection.

The correct answer is 'Anchor'

Key Points

• Let's see the meanings of the given words-
• Idol- a person (such as a film star or pop musician) who is admired or loved (समादृत, प्रशंसित या चहेता व्‍यक्ति (जैसे फ़िल्‍म स्‍टार या पॉप गायक) आराध्य)
• Speaker- a person who makes a speech to a group of people (लोगों में भाषण देने वाला व्‍यक्ति; वक्ता, भाषण-कर्ता)
• Anchor- a person who reports the news and manages reports by others on a television or radio program (एक व्यक्ति जो समाचारों की रिपोर्ट करता है और टेलीविजन या रेडियो कार्यक्रम पर दूसरों द्वारा रिपोर्ट का प्रबंधन करता है)
• Star- a famous person in acting, music or sport (अभिनय, संगीत या खेल में प्रसिद्घ व्‍यक्ति; स्‍टार (जैसे फ़िल्‍म स्‍टार, क्रिकेट स्‍टार))
• Hence, according to the meanings of the given words**, the correct answer is Option 3 i.e. Anchor**

The correct sequence is- BDCA

Key Points

• On the reading of the sentences we can easily comprehend that the passage is talking about Pablo Picasso.
• The introductory sentence will be Sentence B as it tells us about Pablo Picasso and his family.
• The second sentence will be sentence D as it tells us about at what age he started doing drawing
• The third sentence will be Sentence C as it tells that after acquiring the adeptness in drawing at the very early age he surpasses his father's abilities.
• The fourth sentence will be sentence A as it tells that what is his father's reaction towards his prodigious son.

Hence, the correct sequence is- BDCA.

The correct answer is 'Complete'

Key Points

• Let's see the meanings of the given words-
• Absolute- complete; total (पूरा, समूचा, संपूर्ण)
• Partial- not complete (आंशिक)
• Conditional- that only happens if something else is done or happens first (शर्त पर निर्भर, सशर्त; किसी अन्‍य घटना आदि पर निर्भर)
• Complete- having or including all parts; with nothing missing (संपूर्ण; सर्वांशपूर्ण, सारा)
• Limited- small or controlled in number, amount, etc. (संख्‍या, मात्रा आदि की दृष्टि से कम या नियंत्रित, सीमित)
• Hence, according to the meanings of the given words, the correct answer is Option 3 i.e. complete.

The correct answer is 'Sometimes the family likes'

Key Points

• In the given phrase, 'The family' is a collective noun and 'Sometimes' is an adverb.
• 'Family'- It stands for one unit or group but consists of more than one person.
• Hence, we need to use a singular verb for it i.e. 'likes'. 'liking' is a gerund or a present participle depends upon the context of the sentence which we are using.

So the correct sentence is- Sometimes the family likes to play a game together after dinner.

The correct answer is 'to falsify financial records'

Key Points

• The meaning of the given idiom 'Cook the books' is- alter facts or figures dishonestly or illegally. (तथ्यों या आंकड़ों को बेईमानी से या अवैध रूप से बदलना।)
• Let's see an example-
• The body of an accountant suspected of cooking the books at a local glass factory turns up in a stream.

So the correct answer is Option 2.

The correct answer is 'No error'

Key Points

• In the given sentence there is no error.
• Let's see the construction of the sentence.
• The subject of the sentence is 'the need' and the verb of the sentence is 'is' which is a linking verb. 'to introspect and re-examine' are infinitive phrases remember that when the infinitive verbs are joined with the conjunction 'and' don't use 'to' with the latter verb.
• 'and resolve' is also an infinitive phrase in this particular sentence. It is not used as a main verb.
• The usage of adverb 'carefully' is absolutely correct as it tell us that how we need to introspect and re-examine the issue i.e. carefully and amicably.
• So the given sentence is an error-free sentence.

Confusion Points

• to introspect and re-examine the issue carefully and resolve it amicably.
• introspect, re-examine and resolve are used here as infinitives. To introspect, to re-examine and to resolve.
• Resolve is not used here as a main verb.
• when the infinitive verbs are joined with the conjunction 'and' don't use 'to' with the latter verb.

The correct answer is 'Cowardice'

Key Points

• Let's see the meanings of the given words-
• Bravery- actions that are brave (वीरता, साहस, साहसी कार्य)
• Courage- the ability to control fear in a situation that may be dangerous or unpleasant (अप्रिय ख़तरनाक स्थिति में भय को नियंत्रित करने की क्षमता; साहस, हिम्‍मत, बहादुरी)
• Cowardice- a lack of courage; behaviour that shows that you are afraid (साहस का कमी; भीरुता, कायरता)
• Heroism- great courage (महान साहस, बड़ी बहादुरी, वीरता)
• Strength- the quality of being physically strong; the amount of this quality that you have (शारीरिक बल, शक्ति, ताक़त; किसी में शारीरिक बल या शक्ति की मात्रा)
• Hence, the correct answer is Option 2 i.e. 'cowardice'

The incorrect spelling is- acknowlege

Key Points

• The correct spelling of the given word is- acknowledge.
• The meaning of the given word is-  to accept or admit that something is true or exists (किसी बात की सचाई को स्‍वीकार करना; मान लेना, मान्‍यता देना)
• The rest of the spellings is absolutely correct.

Additional Information

• The meaning of the words-
• Acquire- to obtain or buy something (कुछ अर्जित करना या ख़रीदना)
• Assimilate- to become or allow somebody/something to become part of a country, a social group, etc. (किसी देश या सामाजिक समूह में सम्मिलित हो जाना या किसी अन्‍य को सम्मिलित कर लेना, समावेश करना)
• Readable- able to be read (पढ़ने-लायक़; पठनीय)

The correct answer is 'The driving test was passed quite easily by Aditya.'

Key Points

• The given sentence is in the past tense as we can recognize it by looking at the verb of the sentence i.e. 'passed'
• While changing the sentence into passive voice we use a structure was + third form of the verb.
• The third form of the verb 'pass' is 'passed' and the helping verb we choose according to the object of the sentence in this sentence the object is 'the driving test' which is singular in number.

So the correct passive of the sentence is- The driving test was passed quite easily by Aditya

The correct answer is 'CBDA'

Key Points

• On reading the sentences of the passage, we can easily comprehend that the passage is talking about the tree which is uprooted by the storm.
• The introductory sentence will be sentence C as it gives the basic information of the passage.
• The second sentence will be sentence B as it talking about the tree which the speaker is looking for.
• The third sentence will be sentence D as it tells about the tree and the situation of the tree which is done by the storm.
• The fourth sentence will be sentence A. The meaning of 'tufts' is a small amount of hair, grass, etc. growing together (बाल, घास आदि का गुच्‍छा)

Hence, the correct sequence is CBDA i.e. Option 4.

The correct answer is 'Omnipotent'.

Key Points

• Let's see the meanings of the given words-
• Omnipresent- present everywhere at the same time (सभी जगह मौजूद; सर्वव्यापी)
• Multifaceted- having many aspects to be considered (अनेक प्रतिभाओं से संपन्न; बहुमुखी प्रतिभा संपन्न)
• Omnipotent- having total authority; having the ability or skill to do everything (कुछ करने की असीमित शक्ति, सर्वोपरि, सर्वक्षमताशाली, हर काम को करने की योग्यता या कौशल; सर्वशक्तिशाली)
• Multilingual- written or printed in several languages ((लिखित या मुद्रित) अनेक भाषाओं में; बहुभाषी, बहुभाषीय, बहुभाषिक)
• Hence, according to the meanings of the given words, the correct answer is Option 3.

The correct answer is 'My niece said that she had decided to take coaching in badminton.'

Key Points

• The sentence in the Direct Speech is in Present Perfect Tense. Therefore, the sentence in the Indirect Speech should be in Past Perfect Tense.
• Present Perfect (Subject + has/have + V3 +Object) should be converted into Past Perfect (Subject + had + V3 +Object).
• For example:
• He said, “I have got a new job.” (Direct Speech)
• He said that he had got a new job. (Indirect Speech)
• The following things in the sentence should change when changed from Direct speech to Indirect Speech:
• 'said' to 'said that'.
• 'I' to 'she'
• 'have decided' to 'had decided'

Therefore, the correct answer is: My niece said that she had decided to take coaching in badminton.

The correct answer is 'consequences'

Key Points

• Let's see the meanings of the given words-
• Conclusions- an opinion that you reach after thinking about something carefully (विचार विमर्श के बाद लिया गया निर्णय, निष्‍कर्ष, निर्णय, परिणाम, नतीजा)
• Concerns- to affect or involve somebody/something (किसी को प्रभावित या शामिल करना; किसी से संबंधित होना)
• Complexes-  a group of connected things, especially buildings (परस्‍पर संयुक्त या शृंखलाबद्घ वस्‍तुओं की श्रेणी, विशेषतः भवनों की)
• Consequences- something that happens or follows as a result of something else (परिणाम, नतीजा, फल, प्रभाव)
• The given sentence is talking about the result of the decision and the speaker is asking the doer whether he has thought about the results or consequences of the actions done by him.

So the correct sentence is- Have you thought about the consequences of the recent decision you took?

The correct answer is 'appeared'

Key Points

• Let's see the meanings of the given words-
• Delighted- extremely pleased (अति प्रसन्‍न, बहुत ख़ुश)
• Prescribed-  to say what medicine or treatment somebody should have (किसी के लिए दवा या इलाज तय करना; नुसख़ा लिखना)
• remembered- to have somebody/something in your mind or to bring somebody/something back into your mind (व्यक्ति या वस्‍तु का ध्‍यान रहना या उसे याद करना)
• appeared- to suddenly be seen; to come into sight (एकाएक दिखाई पड़ना; प्रकट होना)
• Hence, according to the meanings of the given words, the correct answer is Option 4 i.e. appeared.

The correct answer is 'not do a thing well in order to save money or effort'

Key Points

• The meaning of the idiom 'to cut corners' is- to do something quickly and not as well as you should (तेज़ी से कोई काम जैसे-तैसे कर डालना)
• Let's see an example-
• I don’t like to cut corners when I have company for dinner.
• Hence, the correct answer is Option 1.

The correct answer is 'amount'

Key Points

• It receives the highest (1)_____ of summer rains, winter rains and northeast monsoons
• The passage is all about the rainy season at the place named Kanjirapally.
• As the introduction of the passage tells us that the place is in Kerala and it receives the highest number of rainy days.in Kerala. Hence, the correct word in the blank should be 'amount'
• The meaning of the other words is-
• Extent- the length, area, size or importance of something (किसी वस्‍तु की लंबाई, विस्‍तार, आकार या महत्व)
• Expanse- a large open area (of land, sea, sky, etc.) (ज़मीन, समुद्र, आकाश का) बड़ा और खुला इलाक़ा)
• Number- a word or symbol that indicates a quantity (संख्‍या (मात्रा-सूचक शब्‍द या संकेत)
• amount- the amount of something is how much of it there is; a quantity of something (मात्रा; राशि; परिमाण)
• Hence, the correct sentence is- It receives the highest amount of summer rains, winter rains and northeast monsoons

The correct answer is 'making'

Key Points

• (2)_____ it one of the very few
• We need a present participle in the given blank to describe 'Kerala' after the blank 'it'  is used for Kerala.
• Hence, 'making' is a correct word in the given blank.

So the correct sentence is- making it one of the very few

The correct answer is 'places'

Key Points

• making it one of the very few (3)_____ in India enjoying equatorial rainforest type climate
• Let's see the meanings of the given words-
• Places- a particular position or area विशेष स्थिति या क्षेत्र
• Spot- a particular place or area विशेष स्‍थान या क्षेत्र or 'to see or notice somebody/something, especially suddenly or when it is not easy to do

किसी को देखना या किसी पर ध्‍यान जाना (विशेषतः एकाएक या जब ऐसा करना सरल न हो)'

• Space-  a place or an area that is empty or not used ख़ाली या बेकार पड़ा स्‍थान या इलाक़ा
• In the given blank, we need a noun in the plural form because of the rule 'one of the + plural noun' rule. Hence, the correct answer is Option 1 i.e. places.

So the correct sentence is- making it one of the very few places in India enjoying equatorial rainforest type climate

The correct answer is 'distinct'

Key Points

• Let's see the meanings of the given words-
• Divergent-  (used about roads, lines, etc.) to separate and go in different directions (सड़कों, रेखाओं आदि का) एक दूसरे से अलग होकर विभिन्‍न दिशाओं में जाना
• Distinct-  clear; easily seen, heard or understood स्‍पष्‍ट; सुव्‍यक्त
• Diverse- very different from each other एक दूसरे से अलग; विविध
• Individual- considered separately rather than as part of a group समूह से अलग; अकेला
• Hence, according to the meanings of the words, the correct answer is Option 2 i.e. distinct.

The correct answer is 'primary'

Key Points

• The well-distributed rainfall pattern of Kanjirapally is the (5)_____ reason for the phenomenon of high yield of latex from rubber plantations in and around the town.
• The speaker wants to say that the rainfall pattern is the only reason for the high yield of latex from rubber plantation around the town.
• Hence, this is the primary reason of the production so the correct answer is Option 3.

So the correct sentence is- The well-distributed rainfall pattern of Kanjirapally is the primary reason for the phenomenon of high yield of latex from rubber plantations in and around the town.

Given: 75 − 13 + 19 × 8 ÷ 5 = 93

By checking options and interchanging accordingly,

(1) 3 and 5; − and ×

LHS = 75 − 13 + 19 × 8 ÷ 5 → 73 × 15 + 19 - 8 ÷ 3 

= 73 × 15 + 19 - 2.67

= 1095 + 19 - 2.67

= 1114 - 2.67

= 1111.33

≠ 93

LHS ≠ RHS

(2) 7 and 9; + and ×

LHS = 75 − 13 + 19 × 8 ÷ 5 → 95 − 13 × 17 + 8 ÷ 5 

= 95 − 13 × 17 + 1.6

= 95 - 221 + 1.6

= 96.6 - 221

= - 124.4

≠ 93

LHS ≠ RHS

(3) 5 and 8; − and ÷

LHS = 75 − 13 + 19 × 8 ÷ 5 → 78 ÷ 13 + 19 × 5 - 8

= 6 + 19 × 5 - 8

= 6 + 95 - 8 

= 101 - 8

= 93 

LHS = RHS

(4) 8 and 3; × and ÷ 

LHS = 75 − 13 + 19 × 8 ÷ 5 → 75 − 18 + 19 ÷ 3 × 5 

= 75 − 18 + 6.33 × 5

= 75 - 18 + 31.65

= 106.65 - 18

= 88.65

LHS ≠ RHS 

Hence, 5 and 8; - and ÷ is the correct answer.

Given: s _ t m s r _ m _ r t _ s _ t m

By checking options and substituting accordingly,

(1) r, t, r, m, s → s r t m / s r t m / r r t m / s s t m

(2) r, s, t, r, m → s r t m / s r s m / t r t r / s m t m

(3) r, s, m, r, t → s r t m / s r s m / m r t r / s t t m

(4) r, t, s, m, r → s r t m / s r t m / s r t m / s r t m

Option (4) gives a pattern of s r t m / s r t m / s r t m / s r t m.

Hence, r, t, s, m, r is the correct answer.

Arranging all the words in a logical order of seniority in a workplace,

5. Owner → ranks number 1 in seniority.
6. General manager → ranks number 2.
7. Manager →  ranks number 3.
8. Supervisor → ranks number 4.
9. Worker → ranks last.

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

Given: SHORTLY : OHSYLTR : : WALKING : ?

The logic followed here is:

SHORTLY : OHSYLTR

Similarly,

WALKING : ?

Hence, LAWGNIK is the correct answer.

Given: 

1. Left top corner (circle) is moved in middle and middle shape is moved in right top corner in each step.

2. Right top corner shape is moved in bottom right corner and bottom right is moved in bottom left corner.

3. Bottom left corner shape is moved in top left corner in each step.

The logic followed here is as given below, in each step

Hence, option (2) is the correct answer.

Given: 

Logic: If two dice have the same face value in the given image on two of their faces then the third face of each dice is opposite to one another.

Thus, from the common face ($) and (#) from dice (1) and dice (3):

 

 

Now, & is opposite to !, thus '&' will be on the face opposite to the face showing the letter '!'.

Hence, & is the correct answer$.

Given: The cost of 5 pens and 12 pencils is Rs. 45. 

Let the cost of one pen be 'P' and that of one pencil be 'p'.

Then, according to the question,

5P + 12p = 45

and, for the cost of 20 pens and 48 pencils, we multiply the above equation with 4, then we get

20P + 48p = 45 × 4

20P + 48p = 180

Hence, Rs. 180 is the correct answer.

Given: HUSBAND is written as ABDHNSU.

The logic followed here is: Alphabetical order or increasing order the positional values.

 

Similarly,

Hence, EEFHIOSUW is the correct answer.

By checking options:

The logic followed here is:

All Steel, Bronze, and Brass are alloys.

Whereas,

Nickel is not an alloy. (Nickel is an element)

Hence, nickel is the correct answer.

Important PointsBrass and bronze are both metal alloys, which means they are a combination of two or more different metals. 

Steel - an alloy of iron with other elements, including carbon.

Bronze - copper + tin.

Brass - copper + zinc.

By counting triangles: 

 

Hence, 34 is the correct answer.

Given: ORGAN is coded as 17141518 and FINGER is coded as 56791418

The logic followed here is increasing order of positional values of the letters as shown below,

And, 

Similarly,

Given: Wakeful : Sleepless : : Sitting : ?

The logic followed here is:

Prolonged Wakefulness causes Sleepless.

Similarly,

Too much Sitting is known as Sedentary.

Important PointsSedentary → (of a person) tending to spend much time seated; somewhat inactive.

By checking options: except option (3) all the letters are in increasing order of their positional values in each option.

(1) JMSU  

(2) IMPV 

(3) YTSR

(4) AEKM 

Hence, YTSR is the correct answer.

Given: Mathematics : Teacher

The logic followed here is:

Mathematics is taught by Teachers.

Similarly,

Hockey is coached by the Coach.

Hence, hockey : coach is the correct answer.

Given: 8, 8, 11, 11, 14, 14, ? 

The logic followed here is:

Hence, "17" is the correct answer.

Alternate MethodThe logic followed here is:

Hence**, "17"** is the correct answer.

The logic followed here is: line AB is the mirror,

;

Hence, option (3) is the correct answer.

Given: (313, 2732, 98211)

The logic followed here is:

Sum of digits, as shown below,

(313, 2732, 98211) 

313 → 3 + 1 + 3 = 7

2732 → 2 + 7 + 3 + 2 = 14

98211 → 9 + 8 + 2 + 1 + 1 = 21

Similarly,

By checking options only option (2) has the same sum of digits as given above.

(601, 9401, 71427)

601 → 6 + 0 + 1 = 7

9401 → 9 + 4 + 0 + 1 = 14

71427 → 7 + 1 + 4 + 2 + 7 = 21

Hence, (601, 9401, 71427) is the correct answer.

The logic followed here is: only option (2) is embedded as shown below,

Hence, option (2) is the correct answer.

Important Points 

• Do not get tensed by the complexity of the figures.
• Carefully understand the structure of the given question figure.
• The embedded figure may not be of exact size. It may be small or big.
• Sometimes the rotation or reflection of the figures may be confusing.
• So think wisely before selecting the answer.

Given: 

The logic followed here is:

The paper when unfolded will look like this:

Hence, option (2) is the correct answer.

The least possible Venn diagram is:

Conclusions:

I. Some dogs are not rats → False (as there is no direct relation between dogs and rats)

II. Some dogs are rats → False (it is possible but not definite as shown in the diagram above)

Hence, neither conclusion I nor II follows.

Important PointsThere are only two Complementary pairs as follows:

(1) All - Some not 

(2) No - Some

Confusion PointsSome - Some not is not a complementary pair.

Given: 423, 171, 801, 900, 701 

The logic followed here is: sum of digits is equal to 9.

423 → 4 + 2 + 3 = 9

171 → 1 + 7 + 1 = 9

801 → 8 + 0 + 1 = 9

900 → 9 + 0 + 0 = 9

701 → 7 + 0 + 1 = 8 ≠ 9 

Thus except 701, all numbers are followed same logic.

Hence, 701 is the wrong term.

Given: 28 : 50 : 94

The logic followed here is: 

28 : 50 : 94 → 28 × 2 - 6 = 56 - 6 = 50, and 50 × 2 - 6 = 100 - 6 = 94

Similarly by checking options:

36 : 66 : 126 → 36 × 2 - 6 = 72 - 6 = 66, and 66 × 2 - 6 = 132 - 6 = 126

Hence, 36 : 66 : 126 is the correct answer.

Given: 166 : 415 :: 256 : ?

The logic followed here is the Sum of digits.

166 → 1 + 6 + 6 = 13

and

256 → 2 + 5 + 6 = 13

Similarly, 

415 → 4 + 1 + 5 = 10

Now, by checking options:

(1) 549 → 5 + 4 + 9 = 18 ≠ 10

(2) 428 → 4 + 2 + 8 = 14 ≠ 10

(3) 597 → 5 + 9 + 7 = 21 ≠ 10

(4) 640 → 6 + 4 + 0 = 10

Hence, 640 is the correct answer.

Alternate Method 166 : 415 :: 256 : ?

Here multiply the 1^st number by 2 and divide the same number by 2 and the add both the result

166 × 2 + 166 ÷ 2 = 332 + 83 = 415

Similarly,

256 × 2 + 256 ÷ 2 = 512 + 128 = 640

From the given information,

(1) M's wife is N's daughter-in-law, which means N is one of the parents M.

(2) P is the husband of O, who is the sister of M.

Thus, the final family tree is as follows,

Hence, P is the son-in-law of N.

Given: Book, Library, Chapter, Index

The logic followed here is: the library contain books, and a book contain chapters and an index, as shown below,

Hence, option (4) is the correct answer.

Calculation:

The number of candidates enrolled for institutes P and T together = (20 + 20)% = 40%

Total number of candidates enrolled in five different institutes = 5500

The number of candidates enrolled for institutes P and T together

⇒ (40% of 5500)

⇒ (40/100 × 5500)

⇒ 2200

Now,

The number of candidates passed from institutes P and T together = (18 + 16)% = 34%

Total number of candidates who passed the examination from five institutes = 3300

The number of candidates passed from institutes P and T together 

⇒ (34% of 3300)

⇒ (34/100 × 3300)

⇒ 1122

Now,

The percentage of the candidates who passed to the number of candidates enrolled for institutes P and T together 

⇒ (1122/2200 × 100)%

⇒ (1122/22)%

⇒ 51%

∴ The required percentage is 51%

Given:

The average of 42 numbers = 37

The average of the first 26 numbers = 32

The average of the last 17 numbers = 44

Formula used:

Average = sum of observations/Number of observations

Calculation:

The average of 42 numbers = (42 × 37) = 1554

The average of the first 26 numbers = (26 × 32) = 832

The average of the last 17 numbers = (17 × 44) = 748

Now,

The 26^th number = (The average of the first 26 numbers + The average of the last 17 numbers) – (The average of 42 numbers)

⇒ (832 + 748) – 1554

⇒ 1580 – 1554

⇒ 26

∴ The 26^th number is 26

Given:

(3x + 2y)3 + (3x – 2y)3 = 3kx(3x2 + 4y2)

Formula used:

(a + b)³ = a³ + b³ + 3a²b + 3ab²

(a – b)³ = a³ – b³ – 3a²b + 3ab²

Calculation:

Adding both the formula, we get

a3 + b3 + 3a2b + 3ab2 + a3 – b3 – 3a2b + 3ab²

⇒ (a³ + a³ + 3ab² + 3ab²)

⇒ 2a³ + 6ab²

Now,

2a3 + 6ab² = [2 × (3x)³ + 6 × 3x × (2y²)]

⇒ (2 × 27x³ + 6 × 3x × 4y²)

⇒ 54x³ + 72xy²

Compare the value,

⇒ 54x3 + 72xy² = 3kx(3x2 + 4y2)

⇒ 18x(3x² + 4y²) = 3kx(3x² + 4y²)

⇒ k = (18/3)

⇒ k = 6

∴ The required value of k is 6

Alternate Method(3x + 2y)3 + (3x – 2y)3 = 3kx(3x2 + 4y2)      ----(1)

We have (3x + 2y)3 + (3x – 2y)3

⇒ {(3x + 2y) + (3x -2y)}{(3x + 2y)² + (3x - 2y)² - (3x + 2y)(3x - 2y)}

⇒ 6x{(9x² + 4y² + 12xy) + (9x2 + 4y2 - 12xy) - (9x² - 4y²)}

⇒ 6x(9x² + 12y²)

⇒ 3 × 6x(3x² + 4y²)      ----(2)

Comparing the coefficients of equation(2) with (1), we get

k = 6

Given:

27x3 – 64y3 = (Ax + By)(Cx2 + Dy2 – Exy)

Formula used:

a³ – b³ = (a – b)(a² + b² + ab)

Calculation:

a3 – b3 = (a – b)(a2 + b² + ab)

⇒ (3x)³ – (4y)³ = (3x – 4y)(9x² + 16y² – 12xy)

Now, 

Putting the value, we get

A = 3, B = -4, C = 9, D = 16 and E = -12

The value of  (A – B + C – D + E)

⇒ [3 – (-4) + 9 – 16 + (-12)]

⇒ (3 + 4 + 9 – 16 – 12)

⇒ (16 – 16 – 12)

⇒ -12

∴ The required value is -12

Given:

√13 sin θ = 2

Formula used:

By Pythagoras theorem,

B2 = H2 – P2

sinθ = P/H

tanθ = P/B

cosθ = B/H

Calculation:

√13 sin θ = 2

⇒ sinθ = 2/√13

Sinθ = P/H = 2√13

By Pythagoras theorem,

B² = H² – P²

⇒ B² = √13² – 2²

⇒ B² = 13 – 4 

⇒ B² = 9

⇒ B = 3

tanθ = P/B = 2/3

cosθ = B/H = 3/√13

Now, the value of $\frac{3\tan θ+√{13} \sinθ}{√{13} \cos θ - 3\tan θ}$

⇒ (3 × 2/3 + √13 × 2/√13)/(√13 × 3/√13 – 3 × 2/3)

⇒ (2 + 2)/(3 – 2)

⇒ 4/1

⇒ 4

∴ The required value is 4

Given:

The sides of the right angles = 15 cm and 20 cm

Formula used:

By Pythagoras theorem,

AC² = AB² + BC²

Calculation:

Let AB and BC be 15 cm and 20 cm respectively

According to the question

By Pythagoras theorem,

AC2 = AB2 + BC²

⇒ AC² = (15² + 20²)

⇒ AC² = (225 + 400)

⇒ AC² = 625

⇒ AC = 25 cm

Now,

Perimeter of right-angled triangle = (AB + BC + AC)

⇒ (15 + 20 + 25) cm

⇒ 60 cm

∴ The required perimeter is 60 cm

Given:

cos2θ – sin2θ – 3cosθ + 2 = 0

Formula used:

sin²θ + cos²θ = 1

sin²θ = 1 – cos²θ 

cos 60° = 1/2

sec 60° = 2

Calculation:

cos2θ – sin2θ – 3cosθ + 2 = 0

⇒ cos2θ – (1 – cos²θ ) – 3cosθ + 2 = 0

⇒ cos²θ – 1 + cos²θ – 3cosθ + 2 = 0

⇒ 2cos²θ – 3cosθ + 1 = 0

⇒ 2cos²θ – 2cosθ – cosθ + 1 = 0

⇒ 2cosθ(cosθ – 1) – 1(cosθ – 1) = 0

⇒ (2cosθ – 1, (cosθ – 1) = 0

⇒ cosθ = 1/2,1

According to the question

cosθ = 1 is not possible as θ < 90° 

So, cosθ = 1/2 = cos 60° 

Now,

secθ – cosθ = (sec 60° – cos 60°)

⇒ (2 – 1/2)

⇒ (4 – 1)/2

⇒ 3/2

∴ The required value is 3/2

Given:

Discount = 20%

Gain = 25%

The cost price of the article = Rs. 560

Formula used:

SP = (100 + gain%)/100 × CP

Discount = MP – SP

Marked price = [100/(100 – Discount%) × SP]

Calculation:

The cost price of the article = Rs. 560

Selling price of the article = [(100 + gain%)/100 × CP]

⇒ [(100 + 25)/100 × 560]

⇒ (125/100 × 560)

⇒ 700

Now,

Marked price = [100/(100 – Discount%) × SP]

⇒ [100/(100 – 20) × 700]

⇒ (100/80 × 700)

⇒ Rs. (5 × 175)

⇒ Rs. 875

∴ The required marked price is Rs. 875

Shortcut TrickDiscount = 20% = 1/5

Ratio of M.P to S.P. = 5 : 4      ----(1)

Also, Gain% = 25% = 1/4 

Ratio of C.P. to S.P. = 4 : 5      ----(2)

S.P. will be the same in both the case, so multiplying (1) by 5 and (2) by 4, we get

Ratio of M.P : S.P : C.P = 25 : 20 :16

Now, 16 units = Rs. 560

⇒ 1 unit = Rs. 35

⇒ 25 units = 35 × 25 = Rs. 875

Given:

$\frac{\cot θ + \cos θ}{\cot θ - \cos θ}=\frac{k+1}{1-k}, k \ne 1$

Formula used:

Componendo and Dividendo

(a + b)/(a – b) = (b + a)/(b – a)

Calculation:

According to the question

$\frac{\cot θ + \cos θ}{\cot θ - \cos θ}=\frac{k+1}{1-k}, k \ne 1$

By Componendo and Dividendo

(a + b)/(a – b) = (b + a)/(b – a)

⇒ (cotθ + cosθ)/(cotθ – cosθ) = (cosθ + cotθ)/(cosθ – cotθ) = [(k + 1)/(1 – k) = (1 + k)/(k – 1)

⇒ 2cotθ/2cosθ = 2/2k

⇒ 2cosθ/sinθ/2cosθ = 1/k

⇒ 1/sinθ = 1/k

⇒ k = sinθ 

∴ The required value of k is sinθ

Given:

x + 2y = 19 and x3 + 8y3 = 361

Formula used:

(a + b)³ = a³ + b³ + 3ab(a + b)

Calculation:

According to the question

(x + 2y)³ = x³ + 8y³ + 6xy(x + 2y)

⇒ (19)³ = 361 + 6xy × 19

⇒ 6859 = 361 + 114xy

⇒ 114xy = (6859 – 361)

⇒ 114xy = 6498

⇒ xy = (6498/114)

⇒ xy = 57

∴ The required value of xy is 57

Given:

40 persons take 6 days to complete a certain task, working 10 hours a day

Formula used:

(M₁ × D₁ × H₁)/W₁ = (M₂ × D₂ × H₂)/W₂

Where, M, D, H and W is the number of men, days, hours and amount of the work respectively.

Calculation:

Let the number of hours required to complete the task by 30 persons working 10 days be H respectively.

According to the question

(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W₂

⇒ (40 × 6 × 10)/1 = (30 × 10 × H)/1

⇒ (2400) = 300H

⇒ H = (2400/300)

⇒ H = 8

∴ The number of hours required to complete the task by 30 persons working 10 days is 8

Given:

X sells an article to Y with a loss = 12% 

Y sells it to Z at a profit = 9%

Selling price for article Z pays = Rs. 21,582

Concept used:

When a product is buy in a chain, the relationship between cost price and selling price can be established by the following formula,

CP = [SP × 100/(100 – loss%) × 100/(100 + gain%)] 

Calculation:

According to the question

SP = Rs. 21,582, x₁ = 12% and x₂ = 9%

Now,

CP = SP × 100/(100 – loss%) × 100/(100 + gain%)

⇒ CP = 21,582 × 100/(100 – 12%) × 100/(100 + 9%)

⇒ CP = 21,582 × 100/88 × 100/109

⇒ CP = (21,582 × 100 × 100)/(88 × 109)

⇒ CP = Rs. (215,820,000/9,592)

⇒ CP = Rs. 22,500

∴ The required article purchased by X at Rs. 22,500

Given:

Two circles touch each other externally. 

The distance between their centres = 14 cm.

The radius of one circle = 8 cm

Concept used:

When two circles touch each other externally then the distance between their centres is given by the sum of their radii.

Formula used:

Distance between their centres = Radius of I^st circle + Radius of 2^nd circle

Calculation:

Let r be the radius of the 2^nd circle.

According to the question

⇒ 14 = 8 + r

⇒ r = (14 – 8) cm

⇒ r = 6 cm

∴ The radius of the other circle is 6 cm

Concept Used:       

Follow the BODMAS rule according to the table given below:

Calculation:

$42 ÷ 10 - \left(\frac{7}{4}× \frac{1}{3}\right):of:\frac{6}{5}+\frac{16}{3}× \frac{9}{10}-\left(\frac{1}{6} ÷ \frac{1}{36}\right)$

⇒ 42 ÷ 10 – 7/12 of 6/5 + 16/3 × 9/10 – (1/6 ÷ 1/36)

⇒ 42 ÷ 10 – 7/12 of 6/5 + 16/3 × 9/10 – (1/6 × 36/1)

⇒ 42 ÷ 10 – 7/12 of 6/5 + 16/3 × 9/10 – 6

⇒ 42 ÷ 10 – 7/10 + 16/3 × 9/10 – 6

⇒ 42/10 – 7/10 + 24/5 – 6

⇒ (42 – 7 + 48)/10 – 6

⇒ (83/10 – 6)

⇒ (83 – 60)/10

⇒ 23/10

⇒ 2.3

∴ The required value is 2.3

Calculation:

The production of sugar in 2014 = 280

The production of sugar in 2015 = 320

The percentage increase in the production of sugar in 2015 as compared to that in its preceding year 2014

⇒ [(320 – 280)/280 × 100]

⇒ (40/280 × 100)

⇒ 14.28%

The production of sugar in 2015 = 320

The production of sugar in 2016 = 380

The percentage increase in the production of sugar in 2016 as compared to that in its preceding year 2015 

⇒ [(380 – 320)/320 × 100]

⇒ (60/320 × 100)

⇒ 18.75%

The production of sugar in 2016 = 380

The production of sugar in 2017 = 400

The percentage increase in the production of sugar in 2017 as compared to that in its preceding year 2016

⇒ [(400 – 380)/380 × 100]

⇒ (20/380 × 100)

⇒ 5.26%

The production of sugar in 2017 = 400

The production of sugar in 2018 = 440

The percentage increase in the production of sugar in 2018 as compared to that in its preceding year 2017

⇒ [(440 – 400)/400 × 100]

⇒ (40/400 × 100)

⇒ 10%

The production of sugar in 2018 = 440

The production of sugar in 2019 = 480

The percentage increase in the production of sugar in 2019 as compared to that in its preceding year 2018

⇒ [(480 – 440)/440 × 100]

⇒ (40/440 × 100)

⇒ 9.09%

∴ The increase in the production of sugar as compared to that in its preceding year between 8% and 10% in 2019

Calculation:

Total number of boys taken together in colleges A, B and C

⇒ (400 + 600 + 650) = 1650

Total number of girls taken together in all 5 colleges

⇒ (500 + 500 + 700 + 450 + 650) = 2800

The ratio of the boys taken together in colleges A, B and C to the girls taken together in all 5 colleges

⇒ (1650 : 2800)

⇒ 33 : 56

∴ The required ratio is 33 : 56

Given:

Speed of Dimple = 90 km/hr

Speed of Sachin = 108 km/hr

Calculation:

According to the question

The difference in their speeds = (108 – 90) km/hr

⇒ 18 km/hr

Now,

⇒ (18 × 5/18) m/sec

⇒ 5 m/sec

∴ The required difference is 5 m/sec

Calculation:

The production of organic fertilizers in 2001 = 20

The production of organic fertilizers in 2002 = 35

The percentage increase in production in 2002 as compared to 2001 = [(35 – 20)/20 × 100]

⇒ (15/20 × 100)

⇒ 75%

The production of organic fertilizers in 2002 = 35

The production of organic fertilizers in 2003 = 55

The percentage increase in production in 2003 as compared to 2002 = [(55 – 35)/35 × 100]

⇒ (20/35 × 100)

⇒ 57.14%

The production of organic fertilizers in 2004 = 40

The production of organic fertilizers in 2005 = 60

The percentage increase in production in 2005 as compared to 2004 = [(60 – 40)/40 × 100]

⇒ (20/40 × 100)

⇒ 50%

The production of organic fertilizers in 2006 = 45

The production of organic fertilizers in 2007 = 70

The percentage increase in production in 2007 as compared to 2006 = [(70 – 45)/45 × 100]

⇒ (25/45 × 100)

⇒ 55.55%

The production of organic fertilizers in 2007 = 70

The production of organic fertilizers in 2008 = 75

The percentage increase in production in 2008 as compared to 2007 = [(75 – 70)/70 × 100]

⇒ (5/70 × 100)

⇒ 7.14%

∴ The maximum increase in production is 2002

Given:

A circle touches the side BC of ΔABC at P and also touches AB and AC produced at Q and R, respectively.

The perimeter of ΔABC = 14.1 cm

Calculation:

AQ = AR [Tangents]

BP = BQ [Tangents]

CP = CR [Tangents]

Perimeter of ΔABC = AB + BP + CP + AC

⇒ 14.1 = AB + BQ + CR + AC

⇒ 14.1 = AQ + AR

⇒ 14.1 = AQ + AQ

⇒ 14.1 = 2AQ

⇒ AQ = (14.1/2) cm

⇒ AQ = 7.05 cm

∴ The length of AQ is 7.05 cm

Given:

Gaurav earns per day = Rs. 800

After a week, he earns = Rs. 960

Calculation:

According to the question

Increase in his earnings = Rs. (960 – 800)

⇒ Rs. 160

Now,

Percentage increase in his daily earnings = Rs. (160/800 × 100)

⇒ 20%

∴ The required percentage increase in his earnings is 20%

Given:

∠AED = ∠ABC

AE = 6 cm

BD = 2 cm

DE = 3 cm

BC = 5 cm

Concept used:

Basic proportionality theorem:

If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

Calculation:

Let AD be x cm and CE be y cm respectively

According to the question

In ΔABC and ΔAED

⇒ AB/AE = BC/DE

⇒ (x + 2)/6 = 5/3

⇒ 3x + 6 = 30

⇒ 3x = 30 – 6

⇒ 3x = 24

⇒ x = 8

So, AD = 8 cm

Now,

Again, In ΔABC and ΔAED

⇒ AC/AD = BC/DE

⇒ (6 + y)/8 = 5/3

⇒ 18 + 3y = 40

⇒ 3y = 40 – 18

⇒ 3y = 22

⇒ y = 22/3

So, CE = 22/3 cm

Now,

AB = (AD + BD) = (8 + 2) = 10 cm

AC = (AE + CE) = (6 + 22/3)

⇒ (18 + 22)/3

⇒ 40/3 cm

Now,

The value of (AB + AC) = (10 + 40/3) cm

⇒ (30 + 40)/3

⇒ 70/3 cm

∴ The required value is 70/3 cm

Given:

7183 + 7383

Formula used:

If n is odd number

Then, xn + an 

Common factor = (x + a)

Calculation:

According to the question

7183 + 73⁸³

Here, n = odd number = 83

So,

Common factor = (x + a)

⇒ (71 + 73) 

⇒ 144

Now,

When 144 is divided by 36, we get remainder = 0

∴ The remainder is 0

Shortcut Trick

Volume of smaller cube = 46656 ÷ 27 = 1728 cm³.

Side of smaller cube (a) = ³√1728 = 12 cm.

Surface Area of smaller cube = 6a² = 6 × 12².

Surface Area = 6 × 144 = 864 cm².

∴ The correct answer is 864 cm².

Alternate Method

Given:

Volume of large cube (V) = 46656 cm³

Number of smaller cubes (n) = 27

Formula Used:

Volume of cube = a³

Total Surface Area of cube = 6a²

Calculations:

⇒ Volume of one smaller cube = 46656 ÷ 27

⇒ Volume of one smaller cube = 1728 cm³

⇒ Let the side of the smaller cube be a.

⇒ a³ = 1728

⇒ a = ³√1728 = 12 cm

⇒ Surface Area of smaller cube = 6 × a²

⇒ Surface Area = 6 × (12)²

⇒ Surface Area = 6 × 144

⇒ Surface Area = 864 cm²

∴ The correct answer is 864 cm².

Additional Information

Cube Properties

For a cube of side a, Volume = a³, Lateral Surface Area = 4a², and Diagonal = a√3.

Cutting of Cubes

When a large cube is cut into n³ identical smaller cubes, the side of each smaller cube is 1/n times the side of the large cube.

Surface Area Change

When a cube is cut into smaller cubes, the total volume remains constant, but the total surface area increases.

Given:

Time = 3 years

Rate = 10%

Formula used:

CI = [P(1 + r/100)t – 1]

Calculation:

According to the question

CI = [P(1 + r/100)t – 1]

⇒ 1,324 = [P(1 + 10/100)³ – 1]

⇒ 1,324 = [P(110/100)³ – 1]

⇒ 1,324 = [P(11/10)³ – 1]

⇒ 1,324 = [P(1,331/1,000 – 1)]

⇒ 1,324 = [P(1331 – 1,000)/1,000]

⇒ 1,324 = [P(331/1,000)]

⇒ 1,324 = 331P/1,000

⇒ P = [(1,324 × 1,000)/331]

⇒ P = Rs. (4 × 1,000)

⇒ P = Rs. 4,000

∴ The required sum is Rs. 4,000

Alternate Method R = 10% , T = 3 yrs

We can write D = $({110 \over 100})^3 = ({11 \over 10}) ^3$

${1331 \over 1000}$ Means if 1331 is the amount and 1000 is principal then apply unitery method 

331 is the compound interest for amount 1000 then 

then for pricipal x amount given 1324 

x = ${1000 \over 331}\times{1324} = 4000$

Given:

The product of the first and fourth terms = 70

The second and third terms = 3.5y

Calculation:

In proportion, we know that

a : b :: c : d

According to the question

⇒ a × d = b × c

⇒ 70 = 3.5y

⇒ y = (70 × 10)/35

⇒ y = 20

∴ The value of y is 20

The correct answer is Marmugao.

Key Points

• Mormugao is situated in South Goa(West coast) and it is India's natural and oldest port.
• It has a deep natural harbour and is the most important port of Goa.
• It has contributed largely to the growth of maritime trade in India.
• It is one of the major exporters of iron ore exporting around 27.3 million tonnes of iron ore.
• According to the 2001 census, it has a population of around 97000. The major languages spoken are Kannad, Marathi, Hindi, English, and Konkani is the state language.

Additional Information

• Visakhapatnam Port:
• It is one of 13 major ports in India and the only major port of Andhra Pradesh.
• It is a natural port endowed with deepwater basins formed by a high promontory into the sea, known as Dolphin's Nose Hill to the south and Ross Hill to the North of the entrance channel.
• It is a landlocked port on the east coast.
• ​Haldia Port:
• It is located at the mouth of the Hooghly River.
• Coal, petroleum including containers, and other heavy goods are imported and exported from Haldia port.
• Chennai Port:
• It is one of the most ancient ports which is situated on the easter coast of India.
• India's 95% of trading by volume is done through maritime transport.
• It stands at 70% by value.

The correct answer is Ishtiaq Ahmed.

Key Points

• A new book on the life and times of Pakistan's founder Mohammad Ali Jinnah has been launched The book, "Jinnah: His Successes, Failures, and Role in History", is written by Swedish political scientist and a noted author of Pakistani descent Ishtiaq Ahmed.
• Born on December 25^th, 1876, Jinnah served as leader of the All-India Muslim League from 1913 until Pakistan's creation on Aug 14, 1947.

Additional Information

• Mr. Khushwant Singh:
• He was a great supporter of diplomatic relations with Israel at a time when India did not want to displease Arab nations where thousands of Indians found employment.
• He visited Israel in the 1970s and was impressed by its progress.

The correct answer is Manipur.

Key Points

• Manipur was the first part of India to hold an election based on a universal adult franchise.

Additional Information

• The first general election was held in 1951-52 for over four months. It is from 25 October 1951 to 21 February 1952.
• The elections were based on universal adult franchise i.e twenty-one years of age or older having the right to vote.
• There were over 173 million voters, most of them poor, illiterate, and rural, and have had no experience of elections.
• The first general elections were marked by an active election campaign by Jawaharlal Nehru.
• The parties contested 489 seats. INC won the elections with 364 seats, as the people voted for the party which was led by Jawaharlal Nehru.
• The first Election Commissioner of India was Sukumar Sen.
• Some Prominent winners were Jawahar Lal Nehru, Lal Bahadur Shastri, Sucheta Kripalani, Gulzari Lal Nanda, Kakasaheb Kalelkar, Shyama Prasad Mukherjee, etc.

The correct answer is Dang Valley.

Key Points

• The Dang Valley is the largest valley in Asia.
• It lies between the Mahabharat Range in the north and the Churia Range in the south.
• It forms a nearly 1,000 km2 (390 sq mi) plain within a local drainage basin of fewer than 3,000 km2 (1,200 sq mi). It is drained by the Babai River and is one of the largest Inner Terai valleys.

Additional Information

• Ferghana Valley:
• It was the homeland of the Babur, the first Mughal Emperor and the founder of the dynasty in India.
• Following are the reasons why Emperor Shah Jahan undertook this campaign:
• The first and foremost reason was the proclaimed desire on the part of the Mughal emperors to recover their ancestral lands.
• As direct descendants of Tamerlane, the Mughals of India considered Central Asia their true home and ancestral domain.

The correct answer is 1947-1971.

Key Points

• Bangladesh (East-Pakistan) was part of Pakistan from 1947 to 1971.
• The Government of India decided on 3^rd December 1971, that India would go to war with Pakistan to save Bengali Muslims and Hindus.
• On 16^th December 1971, the chief of the Pakistani forces with 93,000 soldiers had surrendered unconditionally to the allied forces consisting of the Indian Army and Mukti Bahini in Dhaka.
• Vijay Diwas is observed on 16^th December every year in Bangladesh and India, to observe Bangladesh's victory over Pakistan in the War of 1971 for the liberation of Bangladesh from Pakistan and to show respect to Freedom fighters, and Martyrs who take part to free Bangladesh from the atrocious rule of Pakistan.
• 26 March is celebrated as the Independence Day of Bangladesh.

The correct answer is 1855-56.

Key Points

• Santhal Pargana is the mainland of the famous Santhal rebellion. On 30 June 1855, two Santal rebel leaders, Sidhu and Kanhu Murmu with the help of Chand and Bhairav, mobilized ten thousand Santals and declared a rebellion against British colonists.
• Santhal Parganas comprised a district of the same name, in undivided Bihar state, India.

Additional Information

• The Santhal uprising of 1855:
• The Santhals were given land and persuaded to settle in the foothills of Rajmahal.
• By 1832 a large area of land was demarcated as Damin-i-Koh. This was declared to be the land of the Santhals. They were to live within it, practice plough agriculture, and become settled peasants.
• The land grant to the Santhals stipulated that at least one-tenth of the area was to be cleared and cultivated within the first ten years.
• The territory was surveyed and mapped. Enclosed with boundary pillars, it was separated from both the world of the settled agriculturists of the plains and the Paharias of the hills.
• After the demarcation of Damin-i-Koh, Santhal settlements expanded rapidly.
• From 40 Santhal villages in the area in 1838, as many as 1,473 villages had come up by 1851.

The correct answer is Creeper.

Key Points

• Creeper virus is a computer virus that is most commonly recognized as the first computer virus.
• In 1971, Bob Thomas at BBN created Creeper as an experimental self- duplicating program that was intended not to inflict damage on but to illustrate a mobile application.
• Creeper was named for a character on the "Scooby-Doo” cartoon show, is recognized as the first computer virus.
• It was written in 1971 by Bob Thomas of BBN Technologies and spread through DEC PDP-10 computers on ARPAnet.
• It used to display the message**, "I'm the creeper, catch me if you can!".**​

Additional Information

• ARPANET:
• The ARPANET is an acronym for Advanced Research Projects Agency Network.
• It was an arm of the U.S. Defense Department that funded the development of the Advanced Research Projects Agency Network (ARPANET) in the late 1960s.
• Its purpose was to link computers at Pentagon-funded research institu tions with the telephone lines

The correct answer is Harsh Vardhan.

Key Points

• Indian Cabinet Minister Harsh Vardhan was appointed as Executive Board Chairman of the World Health Organization (WHO) in May 2020.
• Dr. Harsh Vardhan is currently serving as Minister of Science and Technology, Minister of Health and Family Welfare and Minister of Earth Sciences.
• He is the Member of Parliament from Chandni Chowk, Delhi constituency.
• Dr Harsh Vardhan is an ENT Surgeon by profession.
• Dr Harsh Vardhan has been elected to the office of Chairperson of Executive Board of the World Health Organization from May 22, 2020.

Additional Information

• Piyush Goyal:
• Piyush Goyal is the minister of Railways as well as the minister of the Ministry of Commerce and Industry.
• The Ministry of commerce and industry is a nodal ministry under the government of India which overlooks and regulates the working of trade and industry and is responsible for the growth and development of industry and trade within and outside the country.
• Piyush Goyal is the current minister of the Ministry of Commerce and Industry.
• Piyush Goyal also handles the portfolio of the Ministry of Railways.
• ​Nirmala Sitaraman:
• She is the current Minister of Finance.
• Smriti Irani:
• Smt. Smriti Irani, the Union Minister of Textiles launched the India Size project in Mumbai on 6^th February 2019.
• It aims to arrive at standard Indian size for the ready-to-wear clothing industry.
• A size chart will be developed which will be specific to Indian consumers measurements.
• The project is undertaken by the Ministry of Textiles.

The correct answer is Manisha Moun.

Key Points

• Manisha Moun boxer won a gold medal in the 57 kg category at the **Cologne Boxing World Cup held in Germany in December 2020.**​

Additional Information

• Indian boxers have bagged 9 medals including three gold, two silver, and four bronze at the Cologne Boxing World Cup 2020, held in Cologne, Germany.
• India finished 2^nd in the overall Medals List, Germany topped the list with 16 medals.
• Gold: The three gold medals for India were bagged by Amit Panghal (52kg), Manisha Moun (57kg), and Simranjit Kaur (60kg) in their respective categories.
• Silver: Silver medals were claimed by Sakshi Choudhary (57kg) and Satish Kumar (91kg).
• Bronze: Sonia Lather (57kg), Pooja Rani (75kg) Gaurav Solanki (57kg), and Mohamed Hussamudin (57kg) claimed the bronze medal in their respective categories.

The correct answer is 1907.

Key Points

• In 1907 Gongsa Ugyen Wangchuck become the first monarch of Bhutan.
• The Constitution of Bhutan was enacted on 18 July 2008 by the Royal Government of Bhutan.
• Bhutan's political system has changed from an absolute monarchy to a constitutional monarchy.
• Bhutan is the Sovereign Kingdom and the Sovereign power belongs to the people of Bhutan.
• This Constitution is the Supreme Law of the State.
• Princess Ashi Sonam Dechen Wangchuck is a princess of Bhutan.
• She is the daughter of the fourth King of Bhutan Jigme Singye Wangchuck and his wife, Queen Mother Ashi Dorji Wangmo Wangchuck.

Additional Information

• The current King of Bhutan is Jigme Khesar Namgyel Wangchuck.
• On Dec 9, 2006, Jigme Khesar Namgyel Wangchuck became the king and is known as the**" Dragon King”** of Bhutan.

The correct answer is Patiala Gharana.

Key Points

• Ustad Bade Ghulam Ali Khan was an Indian Hindustani classical vocalist, from the Patiala Gharana.
• The most common epithet used to describe Ustad Ghulam Ali Khan is 'Tansen of the 20^th century. Often referred to as Bade (older) Ghulam Ali Khan to differentiate him from other maestros of the same name.
• The genius musician was one of the most legendary thumri vocalists of all time, who took the Patiala Gharana.
• Born on 2 April 1902 in Kasur (now in Pakistan), Bade Ghulam Ali Khan belonged to a family of musicians.
• He was awarded the Sangeet Natak Akademi Award and the Padma Bhushan in 1962 Ustad Bade Ghulam Ali Khan breathed last on April 25, 1968, at Basheerbagh Palace in Hyderabad.

​

Additional Information

• Gwalior Gharana:
• It is considered the oldest Khyal Gharana in Indian classical music.
• Gwalior Gharana was founded in the first half of the 19^th century.
• Gwalior Gharana became popular in India during the reign of the Mughal emperor Akbar.
• Mian Tansen was one of the first and most famous vocalists who came from Gwalior.
• The word meaning of Gharana is “family" or "lineage".
• The word Gharana was derived from the Sanskrit word Griha, which means "house'.
• Gharana is a community of performers who share a distinctive musical style that traces to a particular instructor or region.
• Kirana Gharana:
• It is one of the most prominent Indian classical khayal gharanas and is associated mostly with the perfect intonation of notes.
• The gharana's style was further evolved and was established as one of the important styles in modern Indian classical music in the late 19^th / early 20^th centuries by the musicians Abdul Karim Khan and Abdul Wahid Khan.
• The name of this school of music comes from Kirana or Kairana, a town and tehsil of Shamli District in Uttar Pradesh.

The correct answer is Atlanta Olympics.

Key Points

• In Atlanta Olympics Games Shabana Akhtar, the first female athlete represented Pakistan.
• Shabana Akhtar (born April 5, 1972) is an Olympic athlete from Pakistan.
• She became Pakistan's first woman to compete at the Olympics when she took part in the women's long jump at the 1996 Olympics.
• She is a 42-time Pakistan national champion, having won the 100m and 200m dashes from 1989–1998, and from 1992–1998 the 400 meters, long jump, high jump, 4 × 100 m Relay, and 4x400 Relay.
• She represented Pakistan at the World Championships:
• 1993 and 1995.South Asian Games: 1989, 1991, 1993, 1995.
• Women's Islamic Games: 1993, 1997.
• Women's International Games: 1998, 2001.

The correct answer is Infosys.

Key Points

• Infosys company won the 2020 ‘IBM Beacon Award’.
• The Infosys Prize for 2019 was announced at the Infosys campus in Bengaluru.
• The award is given annually to honor outstanding achievements in six categories:
• Humanities: Manu V. Devadevan, jeevitha: Manjula Reddy, Mathematical Sciences: Sidhartha Mishra, Physical Sciences: G. Mugesh, Social Sciences: Anand Pandian, Engineering and Computer Science: Sunita Sarawagi.​

Additional Information

• SJVN has been conferred with the Dun & Bradstreet - Corporate Award 2021 in the category of Best Growth Performance-Power.
• The award was presented at a virtual conference titled India's Top 500 Companies 2021.
• The event, with the central theme 'Laying the Foundations for an ESG-Ready Corporate India', featured keynote addresses by several eminent dignitaries.
• With a robust portfolio of 31 projects of about 10,000 MW in the pipeline, SJVN for itself has set an ambitious target of achieving 5000 MW installed capacity by 2023, 12000 MW by 2030 and 25000 MW by 2040.
• SJVN today has ventured into Thermal Power, Wind, and Solar energy generation, and electricity transmission also.
• For more than two decades, Dun & Bradstreet has been compiling the list of India's Top 500 Companies, which represent the leaders among Corporate India, and the driving force of the Indian economy.

The correct answer is the Disproportionation reaction.

Key Points

• Disproportionation reactions are the reason behind household bleaching agents using phosphorous, sulfur, and chlorine formed.
• Disproportionation reaction:
• A disproportionation reaction is a specific type of redox reaction in which a species is simultaneously reduced and oxidized to form two different products.
• Electronic configuration of Cl is 1s²,2s²,2p⁶,3s²,3p⁵
• It can exhibit a maximum oxidation state of +7.
• In the given question, all three species can exhibit a Disproportionation reaction which simultaneously oxidizes as well as reduce.
• ClO - cannot undergo oxidation as +7 is the maximum oxidation state exhibited by Chlorine.

Additional Information

• A displacement reaction:
• It is a type of reaction in which part of one reactant is replaced by another reactant.
• There are two types of displacement reactions.
• Single displacement reactions: These are those reactions in which one reactant replaces part of the other. Eg: Fe + CuSO4 → FeSO4 + Cu.
• Double displacement reactions: These are those reactions in which the cations and anions in the reactants switch partners to form products. Eg: AgNO3 + NaCl → AgCl + NaNO3.
• A displacement reaction is also known as a replacement reaction or a metathesis reaction.
• Combination reaction:
• A combination reaction also termed a synthesis reaction is about two or more reactants or substances combining with each other to form a new product.
• Rust, which is a result of a combination reaction of oxygen and iron could serve as one of the examples of a combination reaction.
• Decomposition reaction:
• Those reactions in which a compound splits up into two or simpler substances are known as decomposition reactions.
• A decomposition reaction is the opposite of a combination reaction.
• Thermal decomposition:
• When a decomposition reaction is carried out by heating, it is called thermal decomposition. The decomposition reaction of calcium carbonate into calcium oxide and carbon dioxide is an example of thermal decomposition. Example: 2FeSO4 - Fe2O3 + SO2 + SO3.