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Simplification: Shortcuts & Tricks | Quantitative Techniques for CLAT PDF Download

Given below are some of the tips and tricks to solve Simplification.

  • Learn the basics firsts to ace this topic, it includes Tables, square, Fractional Value.

Simplification: Shortcuts & Tricks | Quantitative Techniques for CLAT

Some Other Important things you must remember is the fractional values:

Simplification: Shortcuts & Tricks | Quantitative Techniques for CLAT

  • Learn the different divisibility rules as it will help you to fasten your speed. Some of them are given below: 

Simplification: Shortcuts & Tricks | Quantitative Techniques for CLAT

  • Learn the BODMAS rule where, BODMAS stands for:
    • Brackets
    • Orders
    • Division
    • Multiplication
    • Addition
    • Subtraction

This rule implies that the bracket must be open first and then the first operation that needs to be done is of Division moving onto Multiplication, Addition and Subtraction.

  • Solve at least 20 simplification questions in daily basis so that you get a great grasp on this topic.
  • As the saying goes that there is no substitute of practice , it is actually true in this topic.  The more your practice, the better you will be able to understand this concept and at times, are able to find the correlation in some calculations, can observe a pattern and might develop a few tips and tricks on his own to solve that particular question.

Examples

Q1: 0.03 × 0.01 – 0.003 ÷ 100 + 0.03 =?
(a) 0.03027
(b) 0.0327
(c) 0.3027
(d) 1.03027
(e) 0.003027

Ans: e
Sol:

? = 0.0003 – 0.00003 + 0.03
= 0.03027


Q2: 25×3.25+50.4÷24 = ?
(a)  84.50
(b) 83.35
(c)  83.53
(d) 82.45
(e)  92.84
Ans: c
Sol:
? = 81.25+2.1
= 83.35


Q3: 350% of ? ÷50+248=591
(a) 4900
(b) 4890
(c) 4850
(d) 4950
(e) 4750
Ans: a
Sol:

350 × ?/100 × 1/50 = 343
? = 4900


Q4: 1/2 of 3842+15% of ? =2449
(a)  3520
(b)  3250
(c)  3350
(d) 3540
(e) 2850
Ans: a
Sol:

1/2×3842+15/100× ?=2449
? =(528×100)/15
? =3520


Q5: (833.25-384.45)÷24= ?
(a) 1.87
(b) 20.1
(c) 2.01
(d) 18.7
(e) 16.7
Ans: a
Sol:
?=448.8/24
?=18.7

The document Simplification: Shortcuts & Tricks | Quantitative Techniques for CLAT is a part of the CLAT Course Quantitative Techniques for CLAT.
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FAQs on Simplification: Shortcuts & Tricks - Quantitative Techniques for CLAT

1. What are some popular shortcuts and tricks for simplification in mathematics?
Ans. Some popular shortcuts and tricks for simplification in mathematics include using the distributive property, combining like terms, canceling out common factors, and using exponent rules. These techniques can help simplify complex expressions and make calculations easier.
2. How can I simplify algebraic expressions using the distributive property?
Ans. To simplify algebraic expressions using the distributive property, you need to multiply each term inside the parentheses by the term outside the parentheses. This helps in removing the parentheses and combining like terms. For example, if you have the expression 3(x + 2), you would distribute the 3 to both x and 2, resulting in 3x + 6.
3. What is the concept of combining like terms and how can it simplify mathematical expressions?
Ans. Combining like terms involves adding or subtracting terms that have the same variable and exponent. This simplifies mathematical expressions by reducing the number of terms and making calculations easier. For example, in the expression 2x + 3x - 5x, the like terms 2x, 3x, and -5x can be combined to give a simplified expression of 0x, which further simplifies to 0.
4. How can I simplify expressions by canceling out common factors?
Ans. Simplifying expressions by canceling out common factors involves dividing both the numerator and denominator of a fraction by their greatest common factor (GCF). This process simplifies the fraction to its simplest form. For example, if you have the fraction 6/12, the GCF of 6 and 12 is 6. By dividing both the numerator and denominator by 6, the fraction simplifies to 1/2.
5. Can exponent rules be used to simplify expressions? If so, how?
Ans. Yes, exponent rules can be used to simplify expressions. Exponent rules include multiplication rule (adding exponents when multiplying with the same base), division rule (subtracting exponents when dividing with the same base), and power rule (raising a power to another power). These rules allow you to simplify expressions with exponents by manipulating and combining the terms according to the rules.
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