Quantitative Aptitude for SBI Clerk Exam

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Questions and Answers

What is the highest common factor (HCF) of 12, 18, and 24?

  • 2
  • 6 (correct)
  • 3
  • 12

If the product of two numbers is 48 and their HCF is 4, what is their LCM?

  • 48
  • 192
  • 24 (correct)
  • 12

What is the smallest prime number greater than 20?

  • 22
  • 21
  • 25
  • 23 (correct)

If set A = {1, 2, 3} and set B = {2, 3, 4}, what is the intersection of A and B (A ∩ B)?

<p>{2, 3} (D)</p> Signup and view all the answers

Statement 1: All cats are mammals. Statement 2: All mammals are animals. Which conclusion can be logically deduced from these statements?

<p>All cats are animals. (A)</p> Signup and view all the answers

A train travels at a speed of 60 km/hour. How long will it take to cover a distance of 240 km?

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

If the average of 5 numbers is 15, what is the sum of these numbers?

<p>75 (A)</p> Signup and view all the answers

A shopkeeper bought an item for $200 and sold it for $250. What is the profit percentage?

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

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

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

A rectangular field is 30 meters long and 20 meters wide. What is the area of the field?

<p>600 square meters (B)</p> Signup and view all the answers

A shopkeeper sells a product at a 20% profit. If he had sold it for $$10$ less, he would have made a loss of 10%. What is the cost price of the product?

<p>$$50$ (D)</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

A train travels 360 km at a speed of 60 km/h. How long does it take to cover the distance?

<p>6 hours (A)</p> Signup and view all the answers

A mixture contains milk and water in the ratio 3:2. If 10 liters of water is added to the mixture, the ratio becomes 3:5. Find the initial quantity of milk in the mixture.

<p>27 liters (A)</p> Signup and view all the answers

The average age of 10 students is 15 years. If the age of the teacher is included, the average age becomes 16 years. What is the age of the teacher?

<p>26 years (B)</p> Signup and view all the answers

A sum of money invested at compound interest doubles itself in 8 years. In how many years will it become 4 times itself?

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

A can complete a task in 10 days and B can complete the same task in 15 days. If they work together, how many days will it take them to complete the task?

<p>6 days (A)</p> Signup and view all the answers

The difference between the simple interest and compound interest on a certain sum of money for 2 years at 10% per annum is $$50$. Find the sum.

<p>$$5000$ (D)</p> Signup and view all the answers

A train 120 meters long crosses a platform 240 meters long in 20 seconds. What is the speed of the train in km/h?

<p>108 km/h (A)</p> Signup and view all the answers

Flashcards

Factors and Multiples

Factors are numbers that divide evenly into another number, while multiples are numbers that can be obtained by multiplying a number by an integer.

Highest Common Factor (HCF)

The HCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Lowest Common Multiple (LCM)

The LCM of two or more numbers is the smallest multiple that is exactly divisible by each of the numbers.

Data Sufficiency

A concept used to determine whether given data is enough to answer a specific question.

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Applying Data

The process of critically using given information to solve problems accurately.

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Evaluating Statements

The act of assessing information to deduce correct conclusions from given statements.

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Sets and Relations

Sets are collections of distinct objects; relations show how these objects interact or relate to each other.

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Time Management in Exams

The skill of allocating time effectively for each question during an exam for optimal performance.

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Speed and Accuracy

The balance of solving problems quickly and correctly, essential in competitive exams like SBI Clerk.

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Analyzing Mistakes

The practice of reviewing errors made in previous attempts to improve skills and avoid repeating them.

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Percentages

Aspect of arithmetic involving conversion and calculation of percentage change.

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Ratios

Comparison of two quantities to express their relative sizes using division.

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Averages

Central value calculated by summing values and dividing by their count.

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Profit and Loss

Financial calculation determining the gain or loss from transactions.

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Simple Interest

Interest calculated only on the principal amount.

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Compound Interest

Interest calculated on the initial principal and also on the accumulated interest.

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Time and Work

Calculating how long different people or machines take to complete a task.

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Time and Distance

Understanding the relationship between speed, time, and distance to solve problems.

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Geometry

Branch of mathematics concerning the properties and relations of points, lines, surfaces, and solids.

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Number System

A writing system for expressing numbers; critical for problem-solving in mathematics.

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Study Notes

Quantitative Aptitude for SBI Clerk Exam

  • Arithmetic: Focus on speed and accuracy. Covers percentages, ratios, proportions, averages, profit and loss, simple and compound interest, time and work, time and distance, and data interpretation.

    • Percentages: Understanding percentage conversions, calculating percentage change, and applying percentage concepts to word problems are crucial.
    • Ratios and Proportions: Finding ratios, solving proportions, applying them to various scenarios.
    • Averages: Calculating and interpreting averages, understanding weighted averages, solving average-related problems.
    • Profit and Loss: Calculating profit, loss, cost price, selling price, and related aspects.
    • Simple Interest: Formulas and calculations involving simple interest and related problems.
    • Compound Interest: Important; interest calculated on principal and previous interest earned.
    • Time and Work: Calculating individual/combined work rates, solving time and work problems.
    • Time and Distance: Understanding speed, distance, and time relationships, solving word problems.
    • Data Interpretation: Reading and interpreting data from tables, charts, graphs to answer related quantitative questions.
  • Algebra: Fundamental algebraic concepts and applications are tested.

    • Basic Algebra: Understanding variables, equations, inequalities, solving equations.
    • Quadratic Equations: Solving quadratic equations, factoring expressions, understanding squaring, squares.
    • Linear Equations: Understanding and solving equations with one or two variables.
    • Sequences and Series: Understanding arithmetic and geometric progressions.
  • Geometry: Focus on basic geometrical figures and applications.

    • Basic Geometrical Shapes: Understanding properties and formulas of squares, rectangles, triangles, circles, etc.; calculate area, perimeter, and volume.
    • Mensuration: Understanding and applying formulas for areas, volumes, and perimeters of plane and three-dimensional shapes.
  • Number System: Essential for many problems.

    • Factors and Multiples: Determining factors, multiples, and prime numbers.
    • HCF and LCM: Finding the highest common factor (HCF) and lowest common multiple (LCM).
    • Number Properties: Recognizing and applying properties of numbers.
  • Trigonometry: Occasionally asked; basic understanding is helpful.

  • Modern Maths:

    • Sets and Relations: Basic set concepts; relations, especially in logical reasoning.
  • Data Sufficiency: A vital topic.

    • Reading Questions Carefully: Understanding the given data.
    • Applying Data: Critically apply the given information.
    • Evaluating Statements: Deduce correct conclusions based on statements.
    • Distinguishing Necessary and Sufficient Conditions: Recognizing when additional information is required.

Practice and Strategies

  • Solve previous year's papers to understand question types and patterns.
  • Focus on speed and accuracy for efficiency.
  • Practice regularly to improve accuracy and speed.
  • Learn quick methods and shortcuts using formulas.
  • Improve time management per question.
  • Analyze mistakes to identify weaknesses and improve.

Important Note on Difficulty Level

  • Question difficulty varies significantly.
  • Expect problems requiring more complex approaches.

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