Arithmetic - 1 Quiz
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Questions and Answers

If Ram scored 48% marks and failed by 14 marks, what were the passing marks in the test?

  • 700
  • 336 (correct)
  • 357
  • 350

What fraction of women in a company earn Rs. 30,000 or less if 60% of employees are men and 55% earn more than Rs. 30,000?

  • 2/11 (correct)
  • 1/4
  • None of these
  • 10/17

If a bus travels 40% more diesel at 80 kmph than at 60 kmph, how far can it go on 10 litres at the higher speed?

  • 140 km
  • 160 km
  • 150 km
  • 130 km (correct)

What will be the percentage decrease in expenditure if the price decreases by 4% and consumption by 8%?

<p>12.32% (C)</p> Signup and view all the answers

If the length of a rectangle increases by 6% and the breadth decreases by 5%, what is the overall area change?

<p>0.6% (A)</p> Signup and view all the answers

What is the weight of dry grapes obtainable from 40 kg of fresh grapes, given that fresh grapes contain 80% water?

<p>4 kg (D)</p> Signup and view all the answers

What is the original price of a bicycle if it increases by 9.09%, then by 8.33%, and finally by 7.7% to reach Rs. 1,274?

<p>Rs. 1,100 (A)</p> Signup and view all the answers

What is the percentage change in expenditure on petrol if its price rises by 25% but the consumption reduces by 25%?

<p>6.25% (B)</p> Signup and view all the answers

What percentage decrease in the volume of a right circular cylinder results from a 10% increase in radius and a 20% decrease in height?

<p>5.6% decrease (D)</p> Signup and view all the answers

If the price of sugar is raised by 10%, by what percentage must a person reduce their sugar consumption to maintain the same expenditure?

<p>9.09% (C)</p> Signup and view all the answers

What must be the percentage change in breadth if the length of a rectangle is increased by 20% to achieve a 10% increase in area?

<p>8.33% decrease (A)</p> Signup and view all the answers

If A earns 33.33% more than B, how much less does B earn than A in percentage terms?

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

After selling a certain percentage of cocks annually, which condition holds true if a poultryman has the same number of cocks after 4 years?

<p>m = n (B)</p> Signup and view all the answers

What is the increased price per kg of sugar if there's a 21% price increase leading to a 10.5 kg decrease in purchase for Rs. 1,600?

<p>Rs. 26.44/kg (C)</p> Signup and view all the answers

If Simple Interest earned is 9/16th of the principal and the rate and time are equal, what are those values?

<p>8.5%, 8.5 years (D)</p> Signup and view all the answers

How much should one deposit to earn Rs. 1,520 as Simple Interest over 6 years with varying interest rates?

<p>Rs. 3,750 (B)</p> Signup and view all the answers

What is the amount that became 8 times the original investment if it doubles in 7 years under compound interest?

<p>Rs. 64,000 (B)</p> Signup and view all the answers

What is the principal amount if the difference between compound interest and simple interest for 2 years at a rate of 5% is Rs. 100?

<p>Rs. 50,000 (C)</p> Signup and view all the answers

If the compound interest for 2 years at a rate of 10% is Rs. 420, what is the simple interest for the same period?

<p>Rs. 350 (A)</p> Signup and view all the answers

If a certain amount compounds annually and increases from Rs. 1,440 to Rs. 1,728 in 1 year, what is the annual interest rate?

<p>10% (B)</p> Signup and view all the answers

What is the minimum total of 'x + y' if the percentage of fools in a class is 22.1875?

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

In the scenario of the Bahumukhi Party's election results, if there were 2,60,000 voters and its vote margin doubled, what was the number of votes for it in the previous general election?

<p>1,10,000 (C)</p> Signup and view all the answers

If 75% of 160 students had no prior work experience and 80% of those with experience are engineers, what is the minimum number of engineers without prior work experience?

<p>16 (A)</p> Signup and view all the answers

What is the total number of questions across four passages if the number of questions is 5, 8, 8, and 6 respectively?

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

Flashcards

Percentage Change in Cylinder Volume

When the radius of a cylinder increases by 10% and its height decreases by 20%, the resulting percentage increase or decrease in its volume is calculated.

Reducing Sugar Consumption

If the price of sugar increases by 10%, a person needs to reduce their sugar consumption by 9.09% to maintain the same expenditure.

Percentage Change in Rectangle Area

If the length of a rectangle increases by 20%, the percentage decrease its breadth to be is to maintain a 10% increase in area is 8.33%.

Relative Earnings Percentage

If A earns 1/3 or approximately 33.33% more than B, then B earns 20% less than A.

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Simple Interest Calculation

Simple interest is a specified percentage of a principal amount over a stated period. The rate and time (in years) need to be the same to equal 9/16th of the sum.

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Fixed Deposit Simple Interest

For a 6-year fixed deposit scheme with varying interest rates (3%, 8%, and 10%) and a specific simple interest earned, the original deposited amount can be calculated.

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Increase in Sugar Price

If the price of sugar increases by 21%, a person can buy 10.5kg less for Rs.1,600, which calculates to an increased price of Rs. 26.44 / kg.

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Poultry Cocks Growth

If a poultryman starts with 9 dozen cocks, adds a percentage (m%) of the cocks each year, and sells a percentage (n%) of the cocks, the number of cocks remaining each year will determine if m is equal to, greater than, or less than n.

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Percentage Change Calculation

Determining the percentage increase or decrease in a value compared to its original value.

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Simple Interest Formula

Calculating interest on a principal amount without considering interest earned on previous interest.

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Compound Interest Formula

Calculating interest that is added to the principal and subsequently earns further interest using the prior interest too.

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Percentage Calculation in a Problem

Solving a word problem that involves finding a percentage amount of a given value or comparing one value to another.

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Finding initial value using Percentage Change

Determining the original value when a percentage change is known and the new value is given

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Calculating Final Value in a Problem

Solving word problems involving successive percentage changes and determining resulting values

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Percentage Change on two values given

Given a value and a percentage change and another value, determine how that second value changed from first.

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Multiple percentage changes

Calculating the outcome of a series of percentage increases or decreases sequentially.

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Compound Interest (CI) vs. Simple Interest (SI)

Compound Interest calculates interest on the initial principal plus accumulated interest, while Simple Interest calculates interest only on the principal.

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Investment Doubling Time (CI)

The time it takes for an investment to double its value when compounded.

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Difference in CI and SI (2 years)

The difference in the accumulated interest earned over a 2-year period using Compound and Simple Interest for the same principal amount.

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Compound Interest (2 years)

The interest earned over 2 years calculated using compound interest.

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Simple Interest (2 years)

The interest earned over 2 years calculated using simple interest.

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Investment Growth Rate (years)

The rate at which an investment increases in value, usually stated annually.

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Minimum Value (x + y)

Finding the smallest possible combined value of 'x' (total students) and 'y' (fools) in a class based on the known percentage of fools.

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Votes in General Election

Determining the number of votes cast for a specific political party in a previous election based on the information about the current election and the total votes cast.

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Study Notes

Arithmetic - 1

  • Percentage calculations: Key concept for many problems.
  • Simple Interest (SI)/Compound Interest (CI): Essential for financial calculations.
  • 30 questions: total number of questions in the set.
  • Ram's test score: Ram scored 48%, failing by 14 marks. Scored 51% and would have passed by 7 marks. Find the pass marks. Answer: 350.
  • Bus traveling: A bus uses 40% more diesel at 80 kmph than at 60 kmph. At 60 kmph, the bus travels 22.4 km/liter. How far can the bus travel on 10 liters at 80 kmph? Answer: 140.
  • Employees: 60% of employees are men, and 75% of the men earn over Rs. 30,000 per year. 55% of all employees earn over Rs. 30,000. What fraction of the women earn Rs. 30,000 or less? Answer: 1/10 .
  • Watermelon: A watermelon loses water content from 85% to 80% in three days. 3 kg of water evaporates. Find initial weight. Answer: 60 kg.
  • Fresh grapes: Fresh grapes are 80% water. Dried grapes are 20% water. Find weight of dry grapes from 40 kg of fresh grapes. Answer: 8 kg.
  • Bicycle price increase: Bicycle price increased by 9.09%, then 8.33%, then 7.7%. Final price Rs. 1274. Find original price.
  • Expenditure change: Price per unit decreases 4%, and consumption decreases 8%. Find percent change in total expenditure. Answer: 12%.
  • Rectangle dimensions: Rectangle length increases 6%, width decreases 5%. Percentage change in area. Answer: 1%.
  • Cuboid volume: All sides of a cuboid increase 4%. Find the percent change in volume. Answer:12.49%.
  • Petrol price: Petrol price increases 25%, consumption decreases 25%. Percentage change in expenditure. Answer: 6.25% decrease.
  • Cylinder radius: Cylinder base radius increases 10%, height decreases 20%. Find percent change in area and volume. Answer: 10% increase for area and 5.6% decrease in volume.
  • Sugar price: Price of sugar increases 10%. How much must consumption decrease to keep expenditure the same. Answer: 9.09%.
  • Simple interest calculation: Simple interest on a sum, equals 9/16th of the sum. Find rate and time.

Additional Topics

  • Higher education expense planning: Mrs. Gupta planning for two sons' university expenses.
  • CAT exam analysis: Vaibhav solving CAT math questions.
  • Time management: Techniques in time management for CAT examination.

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Arithmetic - 1 PDF Past Paper

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Test your skills in basic arithmetic concepts such as percentage calculations, simple and compound interest, and practical applications in real-life scenarios. This quiz consists of 30 diverse questions to challenge your understanding and application of these essential mathematical principles.

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