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Questions and Answers
If Ankita is 25 years old and Rahul's age is 25% greater than Ankita's, how much is Ankita's age less than Rahul's age in percent?
If Ankita is 25 years old and Rahul's age is 25% greater than Ankita's, how much is Ankita's age less than Rahul's age in percent?
In an election, if a candidate received 25% of the total votes and lost by 270 votes, what percentage of the total votes did the winning candidate receive?
In an election, if a candidate received 25% of the total votes and lost by 270 votes, what percentage of the total votes did the winning candidate receive?
What is the total number of votes polled if a candidate received 25% and lost by 270 votes?
What is the total number of votes polled if a candidate received 25% and lost by 270 votes?
What is the result of the expression $4 + 10 - 3 \times 6 \div 3 + 4$?
What is the result of the expression $4 + 10 - 3 \times 6 \div 3 + 4$?
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If 20% of students failed in both subjects and 50% passed in Science, what percent of students passed in at least one subject?
If 20% of students failed in both subjects and 50% passed in Science, what percent of students passed in at least one subject?
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What is the simplified form of the expression $9 - { 7 - 24 \div ( 8 + 6 \times 2 - 16 ) }$?
What is the simplified form of the expression $9 - { 7 - 24 \div ( 8 + 6 \times 2 - 16 ) }$?
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How many students appeared in an exam if 270 students passed in both Science and Social?
How many students appeared in an exam if 270 students passed in both Science and Social?
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Which is the correct evaluation of $(25)^3 - (30)^3 + (5)^3$?
Which is the correct evaluation of $(25)^3 - (30)^3 + (5)^3$?
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Evaluate $\frac{9}{42} \div \frac{108}{63} \times 328 - \frac{5}{7} + \frac{7}{5}$. What is the result?
Evaluate $\frac{9}{42} \div \frac{108}{63} \times 328 - \frac{5}{7} + \frac{7}{5}$. What is the result?
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How would you calculate the net change if x is 20 and y is 25 using the formula x - y - xy/100?
How would you calculate the net change if x is 20 and y is 25 using the formula x - y - xy/100?
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If $x = \frac{\sqrt{126} \times \sqrt{63} \times \sqrt{45}}{\sqrt{147} \times \sqrt{243}}$, what is the value of $x$?
If $x = \frac{\sqrt{126} \times \sqrt{63} \times \sqrt{45}}{\sqrt{147} \times \sqrt{243}}$, what is the value of $x$?
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What is the percentage decrease calculated if the net change resulted in −10?
What is the percentage decrease calculated if the net change resulted in −10?
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What net effect results from the equation x - y - xy/100 where x = 20 and y = 25?
What net effect results from the equation x - y - xy/100 where x = 20 and y = 25?
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What is the result of evaluating $\sqrt{2809.001} \div 7.98 \times (12.01)^2 + 46.002$?
What is the result of evaluating $\sqrt{2809.001} \div 7.98 \times (12.01)^2 + 46.002$?
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Calculate $(35% \text{ of } 74000) \div ? = (123 % \text{ of } 13.02)^2 \times 2.01$. What is the missing value?
Calculate $(35% \text{ of } 74000) \div ? = (123 % \text{ of } 13.02)^2 \times 2.01$. What is the missing value?
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The term percent means what?
The term percent means what?
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What is the correct order of operations according to the BODMAS rule?
What is the correct order of operations according to the BODMAS rule?
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Which operation comes first when simplifying an expression using BODMAS?
Which operation comes first when simplifying an expression using BODMAS?
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The primary objective of simplification is to:
The primary objective of simplification is to:
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In the context of simplification, what does the 'Order' refer to?
In the context of simplification, what does the 'Order' refer to?
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Which of the following correctly interprets the BODMAS acronym?
Which of the following correctly interprets the BODMAS acronym?
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Which of the following operations is performed last in BODMAS?
Which of the following operations is performed last in BODMAS?
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How does simplification affect the clarity of a mathematical expression?
How does simplification affect the clarity of a mathematical expression?
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What is a common misconception about simplification in mathematics?
What is a common misconception about simplification in mathematics?
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What word does the code 'Si' represent in the given code language?
What word does the code 'Si' represent in the given code language?
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If 'Money market easy' is written as 'Bi Si Ci', what is the code for the word 'Market'?
If 'Money market easy' is written as 'Bi Si Ci', what is the code for the word 'Market'?
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How is the word 'CHILDREN' encoded if 'TEACHER' is represented as 'VGCEJGT'?
How is the word 'CHILDREN' encoded if 'TEACHER' is represented as 'VGCEJGT'?
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What is the code for the word 'DANGER' if it is encoded as 'MACHINE' = 19-7-9-14-15-20-11?
What is the code for the word 'DANGER' if it is encoded as 'MACHINE' = 19-7-9-14-15-20-11?
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Using the given code language, which code represents 'coffee is hot'?
Using the given code language, which code represents 'coffee is hot'?
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If 'air' is known as 'green', 'green' as 'red', and so forth, what is the color of grass?
If 'air' is known as 'green', 'green' as 'red', and so forth, what is the color of grass?
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If 'blue' means 'green', and the chain continues, what does 'human blood' refer to?
If 'blue' means 'green', and the chain continues, what does 'human blood' refer to?
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If 'PROMPT' is coded as 'QSPLOS', how is 'PLAYER' encoded?
If 'PROMPT' is coded as 'QSPLOS', how is 'PLAYER' encoded?
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What mathematical concepts were discussed in Unit-5?
What mathematical concepts were discussed in Unit-5?
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Which of the following topics is NOT mentioned in the summary of Unit-5?
Which of the following topics is NOT mentioned in the summary of Unit-5?
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What is the purpose of the suggested video links provided in Unit-5?
What is the purpose of the suggested video links provided in Unit-5?
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Which reference website is provided for students in Unit-5?
Which reference website is provided for students in Unit-5?
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Which of the following topics is specifically listed under the 'Suggested Links' section?
Which of the following topics is specifically listed under the 'Suggested Links' section?
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What type of mathematical problems were emphasized in Unit-5?
What type of mathematical problems were emphasized in Unit-5?
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What is likely a prerequisite topic for the concepts taught in Unit-5?
What is likely a prerequisite topic for the concepts taught in Unit-5?
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Which author is mentioned for book references in Unit-5?
Which author is mentioned for book references in Unit-5?
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What does the discriminant of a quadratic equation determine?
What does the discriminant of a quadratic equation determine?
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What is the value of the discriminant for the equation $x^2 + 4x - 5 = 0$?
What is the value of the discriminant for the equation $x^2 + 4x - 5 = 0$?
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If the quadratic equation has two equal real roots, what is the condition for the discriminant?
If the quadratic equation has two equal real roots, what is the condition for the discriminant?
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Using the quadratic formula, what would be the roots of the equation $2x^2 + x - 528 = 0$?
Using the quadratic formula, what would be the roots of the equation $2x^2 + x - 528 = 0$?
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What is the critical value of the discriminant that indicates there are no real roots?
What is the critical value of the discriminant that indicates there are no real roots?
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After losing 5 marbles each, if the product of the number of marbles that Rahul and Rohan have is 124, how many marbles did Rohan originally have if they had 45 marbles together?
After losing 5 marbles each, if the product of the number of marbles that Rahul and Rohan have is 124, how many marbles did Rohan originally have if they had 45 marbles together?
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In the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, which part represents the roots?
In the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, which part represents the roots?
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How do you classify a quadratic equation with roots $x = 3$ and $x = -3$?
How do you classify a quadratic equation with roots $x = 3$ and $x = -3$?
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Study Notes
Aptitude 1 Study Notes
- Unit V: Elementary Mathematics (BBT0101) for B.Tech. 1st Semester
-
Topics Covered:
- Simplification
- Percentage
- Profit, Loss & Discount
- Average
- Number & Series
- Coding & Decoding
- Algebra
Unit Objective (CO 5)
- Course objective: Sensitize students with the skills to enhance employability and build stronger connections with their work environment.
Simplification (CO 5)
- BODMAS Rule: Defines the correct order of operations (Brackets, Order, Division, Multiplication, Addition, Subtraction) for simplifying mathematical expressions.
Topic objective of Simplification (CO 5)
- Eliminate unnecessary parts of a process.
- Combine and rearrange parts of a process.
- Simplify the necessary parts of the process.
Simplification (Contd.) (CO5)
- Q.1: Solve: 4 + 10 - 3 × 6 ÷ 3 + 4 = 12
- Q.2: Evaluate expressions with multiple operations, following BODMAS rule accurately. Examples: 9 - 7-24 ÷ (8 + 6 × 2 - 16), etc.
Multiple Choice Questions (CO5)
- Ques. 1-5: Multiple-choice questions covering various simplification and percentage topics. Examples include evaluating expressions with percentages, fractions, or roots (e.g., 9/42 ÷ 108/63 × 328–5/7 + 7/5).
Ans. Of Multiple Choice Questions (CO5)
- Answers: Solutions to the multiple-choice questions.
Quiz(CO5)
- Questions: Problems related to evaluating expressions and simplifying mathematical expressions (ex: Evaluate (2³)³ + (-15)³ + (-8)³).
- Simplification examples: Problems related to simplifying expressions with square roots, cube roots, etc.
Percentages (CO5)
- Definition: A percentage represents a fraction with a denominator of 100.
- Key Concept: X% of Y is (X/100) * Y
Application of percentage (CO5)
- Type 1: Salary based Problems: Examples on how income and expenditure changes affect savings percentages.
- Type 2: Population Related Problems: Examples on calculating population growth over time.
- Type 3: Examination based problems: Examples on solving problems related to marks in exams.
Application of percentage (CO5) (Contd.)
-
Example Questions:
- Finding percentage decrease in savings when income and expenditure increase.
- Calculating percentage of Q's income less than P's income where P's income is 20% higher than Q's.
- Calculating reduced price percentage of rice.
Application of percentage (CO5) (Contd.)
-
Examples Questions and solutions:
- Detailed example problems and solutions are shown for understanding different types of percentage calculation.
Multiple Choice Questions (CO5)
- Multiple-choice questions: Practice problems to check understanding.
Ans. Of Multiple Choice Questions (CO5)
- Answers: Solutions to multiple choice questions.
Quiz(CO5)
- Questions: Practice problems.
Exercise (CO5)
- Questions: Various problems related to applications of percentages.
Basic Concept of Profit & Loss (CO5)
- Profit: Selling Price - Cost Price
- Loss: Cost Price - Selling Price
- Profit %: [(Selling Price - Cost Price)/Cost Price] x 100
- Loss %: [(Cost Price - Selling Price)/Cost Price] x 100
Profit & Loss (CO5) (Contd.)
- Formulae: - Selling Price = Cost Price (1 ± x/100) - where +x = profit percentage - where -x = loss percentage
Topic objective of Profit & Loss (CO5)
- Detail the preparation of profit and loss accounting.
- Summarize the operating results of a business at the end of an accounting period.
- Define profit and loss account as a nominal accounting entry.
Profit & Loss (CO5) (Contd.)
- Example Questions and Solutions: Solve various problems related profit and loss calculations
Discount (CO5)
- Marked Price (MP): The price marked on a product.
- Discount: The reduction given on the marked price.
- Selling Price (SP): The price at which an item is sold after the discount.
- Discount Formula: SP = MP (1 - d/100), where d is the discount percentage.
Topic objective of Discount (CO5)
- Detail the objective of offering discounts in business.
- Summarize the methods for calculating single and successive discounts.
Discount (CO5) (Contd.)
- Example Questions and Methods: Solve problems related to different scenarios of discount calculation.
Average (CO5)
- Definition: Average = (Sum of Observations) / (Number of Observations)
Number & Series (CO5)
-
Tips for Number Series:
- Observe familiar patterns (e.g., prime numbers, squares, cubes).
- Examine differences between numbers to identify patterns (addition, subtraction, multiplication).
- Identify complex patterns requiring a combination of operations or relationships between consecutive terms.
Number & Series (CO5) (Contd.)
-
Possible patterns in number series:
- Addition or subtraction of a constant value.
- Multiplication or division by a constant value.
- Combination of operations (addition, subtraction, multiplication, and division).
- Patterns are growing or decreasing.
- Square and cube series.
Coding & Decoding (CO5)
- Fundamentals: Methods for encoding and deciphering information.
- Types: Letter, number, symbol coding; deciphering message word coding; substitution coding.
- Example Problems: Various substitution-based encoding and decoding practices.
Additional Notes (General):
- Each topic has examples and exercises to understand and apply concepts.
- All terms are defined and examples are used to show application of the knowledge.
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Description
Test your skills with this engaging mathematics quiz covering topics such as percentages, vote calculations, and expression simplifications. Tackle a variety of problems including age comparisons, election outcomes, and student performance metrics. Perfect for enhancing your analytical and problem-solving abilities!
