Simplification Questions for GMAT

Simplification Questions

Being a crucial exam for getting admitted to your dream business school, the GMAT test examines analytical, verbal, quantitative skills along with integrated reasoning that combines the former three skills together. But the quantitative section in this exam demands accuracy and fast problem-solving skills. To simplify your difficulty while preparing for the GMAT exam it becomes crucial to test your quantitative abilities, verbal proficiency, and logical aptitude beforehand and improving these areas. Especially in quantitative reasoning, you might come across questions that involve simplifying complex mathematical problems in order to find a direct answer in lesser time. This blog will take you on a comprehensive journey of how you can solve simplification questions and score better in the hard-hitting sections of quantitative reasoning.

Simplification Questions: The BODMAS Rule

BODMAS is a basic rule that students are taught about during their early exposure to mathematics. In simplification questions, the BODMAS rule efficiently assists in minimizing the compound nature of an equation to find a quicker answer. In a given mathematical equation, BODMAS is used as the right sequence to solve it in a simplistic manner. It can be elaborated as bracket, order, division, multiplication, addition and subtraction. 

To start with a mathematical problem, The BODMAS rule says that:

  1. Solve the brackets first.
  2. Assess exponents.
  3. Beginning from left to right, go for division and multiplication.
  4. Then add or/and subtract from left to right.

Let’s have a closer look through an example.

Question: 18+33÷11×(21÷3)^2-8

Solving the equation with BODMAS:

  • Start with solving the brackets.

18+33÷11×(21÷3)^2-8 = 18+33÷11×7^2-8

  • Focus on exponents.

18+33÷11×7^2-8 = 18+33÷11×49-8

  • Next, divisions and multiplications.

18+33÷11×49-8= 18+3×49-8

=18+147-8

  • Finally, addition and subtraction.

18+147-8= 236-8

=228

Simplification Questions: Concept of The Modulus

The modulus is described as a function in which the output of any real number will be either positive or zero. It is never a negative value. Taking any real number, for instance, if we take, the modulus of any real number ‘a’ or the absolute value of ‘a’ will be: 

|a|= a {if a ≤ 0} and -a {if a >0}

Hence, for example, calculating the modulus of |5|, let’s take a look at how you can solve it.

|5| = |-5| = 5

Knowing the concept of modulus will be helpful in solving those mathematical problems with the absolute value inequalities that can come in GMAT. Using this basic aspect of the modulus, you can effectively solve those equations.

Simplification Questions: Expressions

Mathematical expressions can be confusing to understand but with tricks like factoring and simplifying, you can learn a quicker way to get to the correct answer.

Factoring: Using this technique, you can cancel out the majorly common terms in divisional problems.

For example, (220+440)÷770

Here you can find a common link, i.e. 11.

(2*110+4*110)÷7*110

= 110 (2+4)÷7*110

= (2+4)÷7

= 6÷7

= 0.857 approx.

Simplifying: For complex multiplication problems, simplifying works similar to factoring as you can locate a common factor in the expression. Afterward, the factor can then be taken out, and the rest of the multiplication will become comparatively easier.

For example, 

60x + 54y + 144z + 24 = 1200

12(5x+7y+11z+4) = 12*100

5x+7y+11z+4= 100

Using factoring and simplifying, you can not only do easy division and multiplication but also addition and subtraction. Although we have given a simple set of examples, it’s the trick of factoring and simplifying that will aid you while solving longer equations by looking out for a common factor or a way to simplify an expression. Thus, this technique will be incredibly useful in questions involving algebraic expressions or other kinds of longer mathematical expressions that can take more time to solve.

Hence, the above-mentioned essentials for cracking simplification questions for GMAT will surely assist you in acing the quantitative reasoning questions thus boosting your ability to find direct answers rather than concentrating longer on complex equations. Let the experts at Leverage Edu help you in acing your exams and finding a place in the hallways of your dream college.

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