Numerical Ability Concepts

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Questions and Answers

A vendor buys apples at 10 for $9 and sells them at 8 for $10. What is his profit or loss percentage?

  • Profit of 20.25%
  • Loss of 22%
  • Loss of 15.75%
  • Profit of 25.5% (correct)

Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. What are the numbers?

  • 15 and 25 (correct)
  • 10 and 18
  • 22 and 28
  • 20 and 24

What is the least number which when divided by 12, 15, 20, and 54 leaves a remainder of 8 in each case?

  • 540
  • 8
  • 4320
  • 548 (correct)

If the cost price of 12 articles is equal to the selling price of 9 articles, what is the profit percentage?

<p>33.33% (D)</p> Signup and view all the answers

A train covers a distance of 360 km at a uniform speed. If the speed had been 10 km/hr more, it would have taken 3 hours less for the journey. What is the original speed of the train?

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

A sum of money becomes double in 10 years at simple interest. What is the rate of interest per annum?

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

Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, then the tank will be filled in:

<p>12 minutes (A)</p> Signup and view all the answers

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to travel 68 km downstream.

<p>4 hours (C)</p> Signup and view all the answers

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

<p>1/221 (C)</p> Signup and view all the answers

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

<p>36 (B)</p> Signup and view all the answers

Flashcards

Number System

A system of classifying numbers based on their properties and the operations that can be performed on them.

LCM & HCF

LCM is the smallest multiple shared by two numbers; HCF is the largest factor.

Ratio & Proportion

Compares two quantities; proportion equates two ratios.

Percentage

A ratio that is expressed as a fraction of 100.

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Profit & Loss

Profit is the gain and Loss is the shortfall when selling an item.

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Data Interpretation

Extracting information from visuals like tables and charts and interpreting its meaning.

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Permutation

The number of ways of arranging items in a particular order.

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Combination

The selection of items when order is not important.

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Probability

Measures the likelihood of an event occurring.

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Mixtures & Allegations

Involves finding the ratio in which two or more ingredients are to be mixed to get a mixture of desired price.

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Study Notes

  • Numerical Ability encompasses a range of mathematical concepts.

Number System

  • Explores number classifications, properties, and operations.

LCM & HCF

  • Lowest Common Multiple (LCM) and Highest Common Factor (HCF) are methods for simplifying fractions and solving algebraic equations.

Ratio & Proportion

  • Ratio expresses the quantitative relation between two amounts, while proportion equates two ratios.

Percentage

  • Percentage is a ratio that is expressed as a fraction of 100, it is a way of expressing a number as parts per 100.

Profit & Loss

  • Profit is the gain and Loss is the shortfall when selling an item, essential for business and trade calculations.

Time & Work

  • Assesses the time to complete tasks individually or in groups.

Time-Speed-Distance

  • Explores the relationships between these quantities in motion scenarios.

Simple & Compound Interest

  • Simple interest is calculated on the principal, while compound interest includes interest on interest.

Mixtures & Allegations

  • Deals with finding the ratio in which two or more ingredients are to be mixed to get a mixture of desired price.

Averages

  • The average represents a typical value in a dataset.

Pipes & Cisterns

  • Problems based on filling or emptying tanks using multiple inlets or outlets.

Boats & Streams

  • Examines the impact of water currents on boat speed and travel time.

Probability

  • Measures the likelihood of an event occurring.

Permutation & Combination

  • Permutation is the number of ways of arranging items in a particular order, while Combination is the selection of items when order is not important.

Data Interpretation

  • Involves extracting and interpreting information from tables, pie charts, and bar graphs to make data-driven conclusions.
  • Data interpretation includes calculations involving percentage, profit and loss, ratio and proportion, LCM and HCF, number system, time and work, time-speed-distance, simple and compound interest, and mixtures and allegations.

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