### Quantitative Aptitude

## SIMPLIFICATION MCQs

### Total Questions : 212

**Page 1 of 11 pages**

**A millionaire bought a lot of hats $$\frac{1}{4}$$ of which were brown. The millionaire sold $$\frac{2}{3}$$ of the including $$\frac{4}{5}$$ of the brown hats. What fraction of the unsold hats were brown ?**

__Question 5.__- $$\frac{1}{{60}}$$
- $$\frac{1}{{15}}$$
- $$\frac{3}{{20}}$$
- $$\frac{3}{5}$$
- $$\frac{3}{4}$$

**Answer: Option C**

**There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:**

__Question 7.__- 20
- 80
- 100
- 200
- None of these

**Answer: Option C**

**One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?**

__Question 12.__- Rs. 30,000
- Rs. 50,000
- Rs. 60,000
- Rs. 90,000
- None of these

**Answer: Option C**

**Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:**

__Question 14.__- $$\frac{1}{7}$$
- $$\frac{1}{8}$$
- $$\frac{1}{9}$$
- $$\frac{7}{8}$$
- None of these

**Answer: Option A**

**In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?**

__Question 16.__- 160
- 175
- 180
- 195
- None of these

**Answer: Option B**

**Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?**

__Question 17.__- 256
- 432
- 512
- 640
- None of these

**Answer: Option C**

**David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?**

__Question 20.__- 19th floor
- 28th floor
- 30th floor
- 37th floor

**Answer: Option C**

### Does Simplify Mean Remove Brackets?

In order to simplify mathematical expressions it is frequently necessary to 'remove brackets'. This means to rewrite an expression which includes bracketed terms in an equivalent form, but without any brackets.

### How Do You Calculate Simplification?

To simplify any algebraic expression, the following are the basic rules and steps:

- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.

### How Do You Simplify Example?

Simplify is to make something less complicated or less cluttered. An example of simplify is when you explain a tough math concept in really easy terms for a child to understand. An example of simplify is when you cut out a lot of the activities that were making you busy and stressed.

### How Do You Solve Simplification And Approximation Quickly?

Tips & Tricks to Solve Simplification/ Approximation Questions:

- (a+b)2 = a2 + b2 + 2ab.
- (a-b)2 = a2 + b2 â€“ 2ab.
- a2 â€“ b2 = (a+b) (a-b)
- a3 + b3 = (a+b) (a2 â€“ ab + b2)
- (a+b)3 = a3 + b3 + 3ab (a+b)
- (a-b)3 = a3 â€“ b3 â€“ 3ab (a-b)

### What Are The Rules For Simplifying Fractions?

Here are the steps to follow:

- Write down the factors for the numerator and the denominator.
- Determine the largest factor that is common between the two.
- Divide the numerator and denominator by the greatest common factor.
- Write down the reduced fraction.

### What Is Simplification In Maths With Examples?

Simplification or simplify fractions means to simplify a complicated mathematical expression to get a single or direct answer. Suggested Action. FREE Live Master Classes by our Star Faculty with 20+ years of experience. To understand it clearly, let us solve the following example. Illustration: Solve 12 + 8 Ã· 4.

### What Is The First Rule In Simplifying An Expression With A Series Of Operations?

First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right. Fourth, we solve all addition and subtraction from left to right.

### What Is The Order Of Simplification?

When simplifying, do all expressions inside parentheses first, then all exponents, then all multiplication and division operations from left to right, and finally all addition and subtraction operations from left to right.

### What Is The Simplest Form Of 38?

Yes, the fraction 38 is in lowest form as there is no whole number by which we can divide the numerator and denominator. 3 is a prime number so the fraction is in what people call its simplest form.

### What Are Important Simplification Features?

Simplification is a very important graphic design method used by designers to make graphics more memorable and immediately recognizable, and is utilized in logos, symbols, posters, computer icons, and other design applications.

### What Is Lower Simplification?

Simplifying (or reducing) fractions means to make the fraction as simple as possible.

### Which Rule We Follow While Doing Simplification?

BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions. Thus, BODMAS stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.

### How Do You Become A Master In Simplification?

Best Tips and Tricks to Solve Simplification:

- Understand and practice BODMAS.
- Memorize the multiplication table till 30.
- You need to memorize squares and cubes of numbers.
- Learn strategies and tricks to easily solve topics such as square roots, cubes, etc.
- Get thorough with reciprocals.

### How Do You Solve Simplification Fast?

Key Points to Remember while Solving Simplification Question:

- Replace 'of' by 'Multiplication'
- Replace '/' by 'Division'
- Always do the operations in priority according to 'BODMAS'
- Division & Multiplication have the same priority (Start from left)
- Addition & Subtraction have the same priority.

### How Many Types Of Questions Are There In Simplification?

Types of Simplification :-

Simplification questions will be ask in two ways, so you all have to know the both types, The first one is 'Finding the missing number'. The second type of simplification question will be 'the relation between the numbers and simplify the numbers using the rules of simplification'.

### Is Simplification And Approximation Same?

Simplification means reducing the expression in a simpler form using various operations. Approximation is simplifying the mathematical expression to its nearest value but not exactly correct.

### What Is Simplify Fraction?

The word simplify means to make something easier to do or understand. So, reducing or simplifying fractions means we make the fraction as simple as possible. We do this by dividing the numerator and the denominator by the largest number that can divide into both numbers exactly.

### How Do You Practice Simplification?

Some of the things that you have to learn and practice on a daily basis are :

- Learn Tables up to 25.
- Learn Cubes up to 25.
- Learn Squares up to 25.
- Learn Fractions up to 25.
- Solve the simplification by using VBODMAS rule i.e. V â†’ Vinculum. B â†’ Remove Brackets â€“ in the order ( ) , { }, [ ] O â†’ Of. D â†’ Division. M â†’ Multiplication.

### What Are The Topics Of Simplification?

Important Parts of Simplification:

- Digital Sum.
- Number System.
- Reciprocals.
- HCF & LCM.
- Percentages.
- Square & Cube.
- Approximation.
- Fractions & Decimals.

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