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Given : 

P = Rs.8000

R = 20% per annum

Time = 6 months

Calculation : 

By applying ratio method,

Since time = 6 months.

Rate = 20% per annum

So for 6 months rate = 10% = 1/10

⇒ 10 = 8000

⇒ 1 = 800

Compound Interest = Amount - Principal = 11 - 10 = 1 

⇒ 1 = 800

∴ The correct answer is Rs. 800.

Formula used : 

Average = Sum of all observations/ Number of observations

Calculation : 

Average = (32 + 18 + 95 + 52 + 86)/5

⇒ 283/5 = 56.6

∴ The correct answer is 56.6.

Shortcut Trick

To find the count of numbers in a range, use integer division by subtracting the quotient of the lower limit from the upper limit.

Three-digit numbers range from 100 to 999.

Divisible by 3: (999 ÷ 3) − (99 ÷ 3) = 333 − 33 = 300

Divisible by 5: (999 ÷ 5) − (99 ÷ 5) = 199 − 19 = 180

Divisible by 15 (LCM of 3 and 5): (999 ÷ 15) − (99 ÷ 15) = 66 − 6 = 60

Total numbers = Divisible by 3 + Divisible by 5 − Divisible by 15 = 300 + 180 − 60 = 420

∴ The correct answer is 420.

Alternate Method

Given:

The set of three-digit numbers starts at 100 and ends at 999.

Formula Used:

Number of terms in an Arithmetic Progression (AP): n = [(Last Term − First Term) ÷ Common Difference] + 1

Inclusion-Exclusion Principle: n(A ∪ B) = n(A) + n(B) − n(A ∩ B)

Calculations:

⇒ For numbers divisible by 3: Smallest three-digit number = 102, Largest = 999

⇒ n(3) = [(999 − 102) ÷ 3] + 1 = (897 ÷ 3) + 1 = 299 + 1 = 300

⇒ For numbers divisible by 5: Smallest three-digit number = 100, Largest = 995

⇒ n(5) = [(995 − 100) ÷ 5] + 1 = (895 ÷ 5) + 1 = 179 + 1 = 180

⇒ For numbers divisible by 15 (LCM of 3 and 5): Smallest three-digit number = 105, Largest = 990

⇒ n(15) = [(990 − 105) ÷ 15] + 1 = (885 ÷ 15) + 1 = 59 + 1 = 60

⇒ Total divisible by 3 or 5 = n(3) + n(5) − n(15)

⇒ Total numbers = 300 + 180 − 60 = 420

∴ The correct answer is 420.

Additional Information

Inclusion-Exclusion Principle

When finding the count of elements in the union of two sets, we add the counts of each set and subtract the count of their intersection to prevent double counting: n(A ∪ B) = n(A) + n(B) − n(A ∩ B).

Arithmetic Progression Number of Terms

The total number of terms 'n' in an Arithmetic Progression is determined by: n = [(l − a) ÷ d] + 1, where 'l' is the last term, 'a' is the first term, and 'd' is the common difference.

LCM and Common Divisibility

If a number is divisible by two different co-prime numbers, it must also be divisible by their Least Common Multiple (LCM). For 3 and 5, the LCM is 15.

Given:

Let Meenu = x

Seenu = y = x - 4000

Total amount = Rs. 20,000

Calculation:

Meenu + Seenu = Rs. 20,000

X + Y = Rs. 20,000.

X + (X - 4000) = Rs. 20,000

2X = 24,000

X = 12,000

So, Meenu = 12,000 & Seenu = 8,000.

Meenu : Seenu = 12,000 : 8,000 = 3: 2

Therefore, the correct answer is 3 : 2.

Given :

Loser vote percentage = 40%

Winner vote percentage = 60%

Calculation : 

Let the total vote be 100.

No of votes of loser = 40

No of votes of winner = 60

Difference = 60 - 40 = 20 

⇒ 20 = 1000

⇒ 1 = 50

Total number of votes = 50 × 100 = 5000

∴ The correct answer is 5000.

The correct answer is "movies hence she".

Key Points

• The error lies in the part 'movies hence she' of the sentence.
• In the given sentence, "Rupa does not want to go to the movies" and the reason why is she "hates the smell of buttered popcorn".
• The usage of 'hence' is incorrect since it fails to properly link the two parts of the sentence.
• So, it must be replaced with the correct conjunction 'because'.
• Therefore, the correct answer is 'option 4'.
• The corrected sentence would be: "Rupa does not want to go to the movies because she hates the smell of buttered popcorn."

The correct answer is "Attain".

Key Points

• 'Achieve' means to successfully bring about or reach a desired objective, level, or result through effort, skill, or courage.(किसी उद्देश्य या परिणाम को सफलतापूर्वक प्राप्त करना) 
• Ex- In order to attain the highest level of proficiency in French, she dedicated countless hours to practicing the language.
• 'Attain' means to succeed in getting something, usually after a lot of effort.(बहुत प्रयास के बाद कुछ पाने में सफल होना) 
• Ex- Despite numerous hurdles, the team managed to achieve their goal of winning the championship this year.
• By referencing the above points, we can conclude that 'attain' is the synonym of 'achieve'.
• Hence, the correct answer is 'Option 2'.

​ 

Additional Information

• Let's have a look at the meaning of the remaining options.
• 'Make' is the process of creating or producing something.(किसी चीज़ को बनाने या उत्पादित करने की प्रक्रिया)
• 'Get' means receiving or acquiring something, without the connotation of a long-term effort or goal.(किसी प्रयास या लक्ष्य के अर्थ के बिना, कुछ प्राप्त करना)
• 'Prepare' means getting something ready or making it suitable for a particular purpose.(किसी चीज़ को तैयार करना)

The correct answer is "Menagerie".

Key Points

• 'Menagerie' is a collection of wild animals kept in captivity for exhibition.
• A menagerie could include various kinds of animals such as lions, tigers, bears, birds, and more.
• Ex- Jane's visited a vibrant menagerie, which is brimming with exotic birds, curious cats, and even a lounging lizard.
• Hence, the correct answer is 'Option 4'.

 

Additional Information

• Let's have a look at the meaning of other options.
• 'Hippodrome' is a stadium for horse and chariot racing.
• 'Abattoir' is a slaughterhouse where animals are killed for food.
• 'Infirmary' is a place in a large institution for the care of those who are ill.

The correct answer is "CDAB".

Key Points

• Sentence C is the best starting point for the paragraph because it introduces the broader topic of science's influence on human civilization. This general topic sets the stage for the more specific ideas that follow in other sentences.
• Sentence D logically follows Sentence C, expanding on the broader claim made by explaining one of the major impacts science has had on human civilization: the unveiling of the misery of human history. Here, we move from a more general impact of science to a specific impact.
• Sentence A is the next logical continuation of the discussion, linking the previous sentence (unveiling the misery of human history) to people's unwillingness to accept new ideas. The mention of 'these problems' refers to the 'misery of human history' discussed in the previous sentence, making it clear that this sentence should come next.
• Finally, Sentence B provides more detail about 'these people' mentioned in Sentence A, it specifies that they are intolerant of other people's thoughts and beliefs. This sentence builds on what has been discussed earlier and concludes the paragraph by specifying a key trait of the people responsible for the 'miseries' aforementioned.
• Hence, the correct answer is 'Option 4'.

The correct answer is "Original".

Key Points

• ​'Copy' means a reproduction, replica, or duplicate of something, often created through the process of copying.(किसी चीज़ का पुनरुत्पादन, प्रतिकृति या डुप्लिकेट) 
• ​Ex- Priyanka made a copy of the document before sending it to her colleagues.
• 'Original' refers to something that is unique, innovative, or created without relying on existing ideas or imitating others.(कुछ ऐसा जो दूसरों की नकल किए बिना बनाया गया हो)
• ​Ex- The author published his original novel, which became an instant bestseller.
• ​By referencing the above points, we can conclude that 'original' is the antonym of 'copy'.
• Hence, the correct answer is 'option 2'.

 

Additional Information 

• Let's have a look at the meaning of the remaining options.
• Cliché- a phrase, expression, or idea that has been overused to the point where it has lost its originality and impact.(एक वाक्यांश, अभिव्यक्ति, या विचार जिसका इस हद तक अत्यधिक उपयोग किया गया है कि उसने अपनी मौलिकता और प्रभाव खो दिया है)
• Photo- an image captured using a camera or other photographic equipment(कैमरे या अन्य फोटोग्राफिक उपकरण का उपयोग करके ली गई छवि)
• Reference- a source of information used for consultation or verification(परामर्श या सत्यापन के लिए उपयोग की जाने वाली जानकारी का एक स्रोत)