Mathematical Operator, Study Notes, Material - All Teaching Exam

By Ashish Kumar|Updated : June 4th, 2022

In this article, we should read related to the “Mathematical Operators” is an important chapter of reasoning ability. Every year 2-3 questions are asked on this topic. We are providing you with different types of questions were asked which will surely help you in the upcoming REETSuper TETDSSSBKVS 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

  • 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 BODMASi.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)

Type 1: Symbol Substitution

In this type of question, a candidate is provided with substitutes for various mathematical symbols, followed by a question involving the 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

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 to balance the given equation

Ex: If the following equations have to be balanced, 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)

image004

Hence, option (d) is correct.

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 interchanges 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),

image005

image006

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

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 covered 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

image007

=983

You may read the following books:
 
Serial No.Book NameAuthor Name
1.A Complete Resources for CTET: Mathematics and PedagogyHaneet Gandhi (Pearson)
2.CTET & TETs for Class VI-VII Mathematics & Pedagogy Arihant
3.Quantitative Aptitude for Competitive ExaminationsABHIJIT GUHA and R.S. Aggarwal

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FAQs

  •  The weightage of Reasoning Section in DSSSB & KVS exam- 20 marks.

  • In the Symbol Substitution type of question, a candidate is provided with substitutes for various mathematical symbols, followed by a question involving the 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.

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

  • No, negative marking involves in the KVS exam.

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