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**Basic Mathematical Operators**

The

This section deals with questions on simple mathematical operations. Here, the four fundamental operations —

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(36 -12) ÷4 + 6 + 2 x 3 = 24 ÷ 4 + 6 + 2 x 3 (Solving Bracket)

= 6 + 6 + 2 x 3 (Solving Division)

= 6+6+6 (Solving Multiplication)

= 18 (Solving Addition)

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In this type of question, a candidate is provided with substitutes
for various mathematical symbols, followed by a question involving
calculation of an expression or choosing the correct/ incorrect
equation. The candidate is required to put in the real signs in the
given equation and then solve the questions as required.

(a) 58

(b) 49

(c) 43

(d) 37

Change of symbols according to the question,

? = 18 × 5 ÷ 5 +6 = 18 – 5 +5 × 6

= 18 – 5 + 30 = (18 +30) = 43

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In this type of questions, the signs in one of the alternatives are
required to fill up the blank spaces for the signs is order to balance
the given equation

24 6 12 16 = 0

(a) - , + and +

(b) ÷, + and ÷

(c) -, - and -

(d) ÷, + and –

From Option (d)

Hence, option (d) is correct.

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In this type of questions, the given equation becomes correct and
fully balanced when either two signs of the equation or both the numbers
and the signs of the equation are interchanged. The candidate is
required to find the correct pair of signs and numbers from the given
alternatives.

10 – 2 +9 ×2÷4=19

(a) – and ÷

(b) – and +

(c) ÷ and ×

(d) × and ÷

Let us check the options one by one

From option (a),

As options (a) gives us the correct answer. Hence, there in no need to check other options

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The questions are based on simple mathematical operations that do not
come under any of the above given types coverd here. These questions
can be based on several different patterns.

(a) 983

(b) 839

(c) 938

(d) 893

As,

**Reasoning section**of every competitive exam includes questions from the topic**“Mathematical Operators”**. This topic is considered to be quiet important and every year a 2-3 number of questions are asked from this topic. We are providing you different types of questions were asked which will surely help you in the upcoming**SSC Exams**.This section deals with questions on simple mathematical operations. Here, the four fundamental operations —

**addition, subtraction, multiplication and division**and also statements such as less than\ 'greater than', 'equal to', 'not equal to, etc. are represented by symbols, different from the usual ones. The questions involving these operations are set using artificial symbols.The candidate has to substitute the real signs and solve the questions accordingly, to get the answer.####
*Different types of questions covered in this chapter are as follows*

*Different types of questions covered in this chapter are as follows*

**Symbol Substitution****Balancing the Equation****Interchange of Signs and Numbers****Trick Based Mathematical Operations**

**Note:-**While solving a mathematical expression, proceed according to the rule**BODMAS**—*i.e.,*Brackets, Of, Division, Multiplication, Addition, Subtraction.*Example:*(36 -12) ÷4 + 6 + 2 x 3 = 24 ÷ 4 + 6 + 2 x 3 (Solving Bracket)

= 6 + 6 + 2 x 3 (Solving Division)

= 6+6+6 (Solving Multiplication)

= 18 (Solving Addition)

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**Type 1: Symbol Substitution**

In this type of question, a candidate is provided with substitutes
for various mathematical symbols, followed by a question involving
calculation of an expression or choosing the correct/ incorrect
equation. The candidate is required to put in the real signs in the
given equation and then solve the questions as required.**Ex 1: if ‘×’ means ‘-’, ‘÷’ means ‘+’, + means ‘×’, then 18 × 5 ÷ 5 +6 is equal to**(a) 58

(b) 49

(c) 43

(d) 37

**Solution: (c)**Change of symbols according to the question,

? = 18 × 5 ÷ 5 +6 = 18 – 5 +5 × 6

= 18 – 5 + 30 = (18 +30) = 43

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**Type2: Balancing the Equation**

In this type of questions, the signs in one of the alternatives are
required to fill up the blank spaces for the signs is order to balance
the given equation**Ex : If the following equations has to be balance, then the signs of which of the following options will be used?**24 6 12 16 = 0

(a) - , + and +

(b) ÷, + and ÷

(c) -, - and -

(d) ÷, + and –

**Solution: (d)**From Option (d)

Hence, option (d) is correct.

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**Type 3: Interchange of Signs and Numbers**

In this type of questions, the given equation becomes correct and
fully balanced when either two signs of the equation or both the numbers
and the signs of the equation are interchanged. The candidate is
required to find the correct pair of signs and numbers from the given
alternatives.**Ex: Which one of the given interchange in signs would make the given equation correct?**10 – 2 +9 ×2÷4=19

(a) – and ÷

(b) – and +

(c) ÷ and ×

(d) × and ÷

**Solution: (a)**Let us check the options one by one

From option (a),

As options (a) gives us the correct answer. Hence, there in no need to check other options

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**Type 4: Trick Based Mathematical Operations**

The questions are based on simple mathematical operations that do not
come under any of the above given types coverd here. These questions
can be based on several different patterns.**Ex: If 9 ×5×2 = 529 and 4 ×7×2 =724, then 3×9×8 =?**(a) 983

(b) 839

(c) 938

(d) 893

**Solution: (a)**As,

**=983**
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