Quantitative Aptitude Problems

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Questions and Answers

If the sum of two numbers is 30 and their product is 224, what are the numbers?

  • 10, 20
  • 14, 16 (correct)
  • 8, 22
  • 12, 18

A train travels 60 km at a speed of 30 km/h and then travels 90 km at a speed of 60 km/h. What is the average speed of the train for the entire journey?

  • 45 km/h (correct)
  • 60 km/h
  • 50 km/h
  • 55 km/h

A man can complete a work in 20 days. If he works for 5 days, what fraction of the work is left?

  • 2/5
  • 3/4 (correct)
  • 1/2
  • 1/4

The ratio of the ages of A and B is 3:4. If A is 12 years old, what will be B's age after 4 years?

<p>20 (C)</p> Signup and view all the answers

A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

<p>20% (D)</p> Signup and view all the answers

If $5x + 3 = 2x + 12$, what is the value of x?

<p>3 (D)</p> Signup and view all the answers

A rectangle has a length that is twice its width. If the perimeter is 48 cm, what is the area of the rectangle?

<p>144 cm² (D)</p> Signup and view all the answers

The average of five numbers is 20. If one number is excluded, the average becomes 18. What is the excluded number?

<p>28 (A)</p> Signup and view all the answers

A car covers a distance of 240 km in 3 hours. What is its speed in m/s?

<p>20 m/s (A)</p> Signup and view all the answers

If the cost price of 10 articles is equal to the selling price of 8 articles, what is the profit percentage?

<p>25% (D)</p> Signup and view all the answers

A number is increased by 20% and then decreased by 20%. What is the net change in the number?

<p>-4% (B)</p> Signup and view all the answers

The sum of the squares of two consecutive integers is 365. What are the integers?

<p>14, 15 (D)</p> Signup and view all the answers

A man spends 40% of his salary on rent, 30% on food, and saves the rest. If he saves $600, what is his salary?

<p>$2000 (A)</p> Signup and view all the answers

If the price of a product is increased by 25% and then decreased by 20%, what is the net percentage change in the price?

<p>0% (C)</p> Signup and view all the answers

A boat can go 30 km upstream and 42 km downstream in 6 hours. If the speed of the boat in still water is 12 km/h, what is the speed of the current?

<p>3 km/h (B)</p> Signup and view all the answers

The LCM of two numbers is 60 and their HCF is 12. If one number is 24, what is the other number?

<p>30 (D)</p> Signup and view all the answers

A sum of money is divided among A, B, and C in the ratio 2:3:5. If C receives $100, how much does A receive?

<p>$40 (D)</p> Signup and view all the answers

If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

<p>80° (A)</p> Signup and view all the answers

A man can complete a work in 15 days. If he works for 3 days, what fraction of the work is completed?

<p>1/5 (C)</p> Signup and view all the answers

The price of a shirt is increased by 20% and then decreased by 20%. If the original price was $50, what is the final price?

<p>$48 (C)</p> Signup and view all the answers

A train leaves a station at 10:00 AM and travels at a speed of 60 km/h. Another train leaves the same station at 11:00 AM and travels at 90 km/h. At what time will the second train catch up with the first?

<p>2:00 PM (C)</p> Signup and view all the answers

If the perimeter of a square is 64 cm, what is the area of the square?

<p>256 cm² (D)</p> Signup and view all the answers

A man bought a bicycle for $600 and sold it for $720. What is the profit percentage?

<p>20% (C)</p> Signup and view all the answers

If $3x + 4 = 19$, what is the value of x?

<p>5 (B)</p> Signup and view all the answers

A sum of money is to be divided among A, B, and C in the ratio 1:2:3. If the total amount is $600, how much does B receive?

<p>$200 (D)</p> Signup and view all the answers

If all Bloops are Razzies and all Razzies are Lazzies, which of the following is true?

<p>All Bloops are Lazzies (D)</p> Signup and view all the answers

In a certain code language, if 'CAT' is coded as '3120', how is 'DOG' coded?

<p>4157 (C)</p> Signup and view all the answers

If in a certain code, 'FISH' is written as 'GJTK', how is 'BIRD' written in that code?

<p>CISE (C)</p> Signup and view all the answers

A is taller than B, and B is taller than C. Who is the shortest?

<p>C (D)</p> Signup and view all the answers

If 'A' is coded as '1', 'B' as '2', and so on, what is the code for 'CAB'?

<p>312 (C)</p> Signup and view all the answers

In a certain code, 'MANGO' is written as 'NBOHP'. How is 'APPLE' written in that code?

<p>BQQMF (A)</p> Signup and view all the answers

If 'PENCIL' is coded as 'QFODJM', what is the code for 'ERASER'?

<p>FSBTFQ (A)</p> Signup and view all the answers

If 'A' is coded as 'Z', 'B' as 'Y', and so on, what is the code for 'HELLO'?

<p>SVOLL (D)</p> Signup and view all the answers

In a certain code, 'WATER' is written as 'XBTFS'. How is 'FIRE' written in that code?

<p>GJTE (B)</p> Signup and view all the answers

If 'A' is to 'Z', 'B' is to 'Y', then 'C' is to which letter?

<p>X (C)</p> Signup and view all the answers

A clock shows the time as 3:15. What is the angle between the hour and the minute hand?

<p>52.5° (B)</p> Signup and view all the answers

If the day before yesterday was Wednesday, what day will it be tomorrow?

<p>Saturday (A)</p> Signup and view all the answers

In a family of six members A, B, C, D, E, and F, there are two married couples. A is a teacher and is married to B. C is the son of A. D is the daughter of B. E is the brother of C. How is D related to E?

<p>Sister (D)</p> Signup and view all the answers

If 'R' is coded as '18', 'S' as '19', and 'T' as '20', what is the code for 'Q'?

<p>17 (C)</p> Signup and view all the answers

If the first day of the year 2023 is a Sunday, what day of the week will be the last day of the year?

<p>Sunday (B)</p> Signup and view all the answers

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Flashcards

What two numbers?

Two numbers that add up to 30 and multiply to 224.

Average Speed

Total distance divided by total time.

Remaining Work Fraction

Fraction of work remaining after some completion.

Age Ratio Problem

B's future age based on the present age ratio.

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Doubling Time Interest

Interest rate at which money doubles in 5 years.

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Solve for x

The value of x that satisfies the equation.

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Rectangle Area

The area of a rectangle where length is twice its width, and the perimeter is 48 cm.

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Excluded Average Number

The excluded number that changes the average.

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Speed in m/s

Speed of car that covers 240 km in 3 hours, converted to m/s.

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Profit Percentage Article

Profit percentage when the cost price of 10 equals the selling price of 8 articles.

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Successive Percentage Change

Net percentage change after a number is increased by 20% and then decreased by 20%.

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Consecutive Integer Square

Two consecutive integers whose squares sum to 365.

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Salary Calculation

Salary given the rent percentage, food percentage, and savings amount.

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Net Price Change

Net percentage change after a price increases by 25% and then decreases by 20%.

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Boat Current Speed

The speed of the current given boat speeds upstream and downstream.

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LCM HCF Problem

The other number when LCM, HCF, and one number are known.

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Ratio Division

The amount A receives when money is divided in a given ratio.

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Triangle Angle Ratio

Largest angle in a triangle with angles in the ratio 2:3:4.

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Fraction of Work Done

Fraction of work completed in specified days.

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Price Change impact

The final price after successive percentage changes.

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Catch Up time

Time when the second train catches up with the first one.

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Square Area Calculation

Area of square with perimeter of 64 cm.

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Profit margin Percentage

Profit percentage from buying and selling prices.

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Simple Equation

The value of x that satisfies the simple equation.

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Amount in division

Amount B receives when total divided among A, B, and C in a 1:2:3 ratio.

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Logical Deduction

Inferred status based on hierarchical statements.

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Number Coding

Code of a provided word by shifting letters to numbers.

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Sequence Coding

Find subsequent sequence from original coding pattern.

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Direct comparison of entities

Inferred height from statements.

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Mapped code pattern

Map sequence to numbers and correlate.

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Letter Sequence coded

Coded sequence from mapped letters.

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Letter scramble code

Decipher coded letters.

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Sequence switch codes

Code switch from known sequences.

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Word sequence analysis

Infer subsequent word given code sequence .

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Letter pair pattern

Find subsequent letter based on prior mapping.

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Clock angle mapping

Angle between the clock hands given the time.

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Date sequence mapping

Determine day of week.

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Family chart analysis

Determine gender sequence.

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Word decode process

Decode mapped word pattern.

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Study Notes

Quantitative Aptitude

  • If two numbers sum to 30 and their product is 224, the numbers are 14 and 16.
  • A train travels 60 km at 30 km/h and 90 km at 60 km/h; the average speed for the entire journey: 48 km/h.
  • If a man completes a work in 20 days, after working for 5 days, 3/4 of the work remains.
  • If the ratio of ages A and B is 3:4, and A is 12, B's age after 4 years will be 20.
  • A sum of money doubles in 5 years at simple interest, the rate of interest is 20%.
  • Given 5x + 3 = 2x + 12, the value of x is 3.
  • A rectangle has a length twice its width, with a perimeter of 48 cm, the area is 128 cm².
  • The average of five numbers is 20; if one is excluded and the average becomes 18, the excluded number is 28.
  • A car covering 240 km in 3 hours has a speed of approximately 22.22 m/s.
  • If the cost price of 10 articles equals the selling price of 8, the profit percentage is 25%.
  • A number increased by 20% and then decreased by 20% results in a net change of -4%.
  • The sum of the squares of two consecutive integers is 365; the integers are 14 and 15.
  • A man spends 40% on rent, 30% on food, and saves $600; his salary is $2000.
  • If a product's price increases by 25% and then decreases by 20%, the net percentage change is 0%.
  • A boat goes 30 km upstream and 42 km downstream in 6 hours with a speed of 12 km/h in still water, implies the current's speed is 3 km/h.
  • The LCM of two numbers is 60, and their HCF is 12; if one number is 24, the other number is 30.
  • A sum divided among A, B, and C in the ratio 2:3:5, with C receiving $100, A receives $40.
  • If a triangle's angles are in the ratio 2:3:4, the largest angle measures as 80°.
  • A man completes a work in 15 days; after working for 3 days, 1/5 of the work is completed.
  • A shirt originally priced at $50 is increased by 20% and then decreased by 20%, the final price is $48.
  • A train leaves at 10:00 AM at 60 km/h, and another leaves at 11:00 AM at 90 km/h; the second train catches up with the first at 2:00 PM.
  • If the perimeter of a square is 64 cm, the area is 256 cm².
  • A bicycle bought for $600 and sold for $720 yields a profit percentage of 20%.
  • Given 3x + 4 = 19, the value of x is 5.
  • A sum divided among A, B, and C in the ratio 1:2:3, with a total of $600, B receives $200.

Reasoning

  • If all Bloops are Razzies and all Razzies are Lazzies, then all Bloops are Lazzies.
  • In a code where 'CAT' is '3120', 'DOG' is coded as '4157'.
  • In a code where 'FISH' is 'GJTK', 'BIRD' would be written as 'CISE'.
  • If A is taller than B, and B is taller than C, then C is the shortest.
  • If 'A' is '1', 'B' is '2', and so on, the code for 'CAB' is '312'.
  • In a code where 'MANGO' is 'NBOHP', 'APPLE' is written as 'BQQMF'.
  • If 'PENCIL' is coded as 'QFODJM', the code for 'ERASER' is 'FSBTFQ'.
  • If 'A' is 'Z', 'B' is 'Y', and so on, the code for 'HELLO' is 'SVOOL'.
  • In a code where 'WATER' is 'XBTFS', 'FIRE' is written as 'GJTF'.
  • If 'A' is to 'Z', 'B' is to 'Y', then 'C' is to 'X'.
  • At 3:15, the angle between the hour and minute hand on a clock is 7.5°.
  • If the day before yesterday was Wednesday, then tomorrow will be Saturday.
  • In a family, if A is married to B, C is A’s son, D is B’s daughter, and E is C’s brother, then D is E's sister.
  • If 'R' is '18', 'S' is '19', and 'T' is '20', the code for 'Q' is '17'.
  • If January 1, 2023, is a Sunday, then the last day of the year will be a Sunday.
  • If A is B's brother, C is A's sister, and D is B's father, then C is D's daughter.
  • If 'X' is to 'Y', 'A' is to 'B', then 'M' is to 'N'.
  • In a code where 'SCHOOL' is 'TIDMPM', 'COLLEGE' is written as 'DPMMFHF'.
  • In the sequence 2, 4, 8, 16, the next number is 32.
  • If 'A' is '1', 'B' is '2', and 'C' is '3', the code for 'XYZ' is '242526'.
  • A man facing north turns 90° right, then 180° left, he is now facing west.
  • If 'P' is to 'Q', 'R' is to 'S', then 'T' is to 'U'.
  • In a code where 'BIRD' is 'CJSF', 'FISH' is written as 'GJTK'.
  • If 'A' is to 'Z', 'B' is to 'Y', then 'D' is to 'W'.
  • If the sum of three consecutive integers is 72, the smallest integer is 23.

English

  • "Abate" is most similar in meaning to "Diminish."
  • "Benign" is most opposite in meaning to "Malevolent."
  • The error in "Each of the players have their own locker" is "have."
  • The correct synonym for "Eloquent" is "Fluent."
  • "Expertise" correctly fills the blank in: "He is known for his _______ in the field of science."
  • "Were" is the correct form of the verb in: "Neither the teacher nor the students _______ aware of the changes."
  • "I don't understand the question" is grammatically correct.
  • "Consensus" best completes the sentence: "The committee reached a _______ decision after much debate."
  • "Everyone should do his or her best" is correct.
  • The correct antonym for "Vigilant" is "Negligent."
  • "Captivating" correctly fills the blank in: "The novel was so _______ that I couldn't put it down."
  • The error in "The team have won the championship" is "have."
  • "Elder" is the correct word in: "She is the _______ of the two sisters."
  • "I like tea, and she likes coffee" is a compound sentence.
  • "In" is the correct preposition in: "He is interested _______ learning new languages."
  • "Submit" correctly fills the blank in: "The teacher asked the students to _______ their homework."
  • "Most interesting" is the correct form of the adjective in: "This is the _______ book I have ever read."
  • "She sings well" is grammatically correct.
  • "Shocked" best completes the sentence: "He was _______ to hear the news."
  • "Inclement" correctly fills the blank: "The weather was so _______ that we decided to stay indoors."
  • The correct synonym for "Fraud" is "Deception."
  • The error in "Neither of the answers are correct" is "are."
  • "Contrary" best fits in: "The results of the experiment were _______ to the hypothesis."
  • "Wealth" correctly fills the blank in: "She has a _______ of knowledge about the subject."
  • The correct antonym for "Optimistic" is "Pessimistic."

General Awareness

  • Mahatma Gandhi is known as the "Father of the Nation" in India.
  • Mars is known as the "Red Planet".
  • Canberra is the capital of Australia.
  • Rabindranath Tagore wrote the national anthem of India.
  • The Pacific Ocean is the largest ocean.
  • The currency of Japan is Yen.
  • Indira Gandhi was the first woman Prime Minister of India.
  • Nitrogen is most abundant in the Earth's atmosphere.
  • Rice is the main ingredient in traditional Japanese sushi.
  • Alexander Fleming discovered penicillin.
  • Japan is known as the Land of the Rising Sun.
  • Asia is the largest continent by area.
  • J.K. Rowling is the author of the Harry Potter series.
  • Au is the chemical symbol for gold.
  • Vatican City is the smallest country in the world.
  • George Washington was the first President of the United States.
  • Paris is the capital of France.
  • Hydrogen has the atomic number 1.
  • Leonardo da Vinci painted the Mona Lisa.
  • The Nile River is the longest river in the world.
  • Saturn is known for its rings.
  • Sardar Vallabhbhai Patel is known as the "Iron Man of India".
  • Portuguese is the primary language spoken in Brazil.
  • Mount Everest is the tallest mountain in the world.
  • The main purpose of the United Nations is to maintain international peace and security.

Computer Knowledge/Computer Aptitude

  • CPU stands for Central Processing Unit.
  • A keyboard is an input device.
  • The primary function of the operating system is to manage hardware and software resources.
  • A Trojan horse is a type of malware.
  • HTTP stands for HyperText Transfer Protocol.
  • Java is a programming language.
  • RAM in a computer is for storing temporary data.
  • Google Chrome is an example of a web browser.
  • The main purpose of a firewall is to protect against unauthorized access.
  • Microsoft Office is not an operating system.
  • The acronym 'URL' stands for Uniform Resource Locator.
  • Google Drive is a cloud storage service.
  • A modem converts digital signals to analog.
  • SQL is a type of database.
  • Phishing is a method of stealing personal information.
  • Application is a type of software.
  • 'GUI' stands for Graphical User Interface.
  • Microsoft PowerPoint is used to create presentations.
  • The purpose of an antivirus program is to protect against malware.
  • RAM is a type of computer memory.
  • A printer is an output device.
  • Google is a search engine.
  • 'ISP' stands for Internet Service Provider.
  • LAN is a type of computer network.
  • The primary purpose of a spreadsheet application is to perform calculations and analyze data.

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