- If ‘-‘ stands for division ‘+’ stands for subtraction ‘÷’ stands for multiplication ‘×’ stands for addition, then which one of the follow...
- If > denotes +, < denotes -, - denotes ×, × denotes ÷, ÷ denotes =, then choose the correct statement of the following.
- If * means +, @ means -, # means × and $ means ÷, then what is the value of : 16 * 40 @ 56 $ 7 # 2
- Select the missing number from the given responses. ...
- If ‘P’ means ‘+’, V means ‘×’, T means ‘-‘ and ‘Q’ means “÷’ , then find the value of the expression given below: 30 P 10 Q 2 V 2...
- If ‘–‘ means ‘addition’, ‘+’ means ‘subtraction’, ‘÷ ‘ means ‘multiplication...
- Which two signs should we interchange inorder to make the given equation true? 36 × 5 - 84 ÷ 4 + 50 = 151
- If '$ means +', '# means –, '@ means ×' and '* means ÷', then what is the value of '16 $ 4 @ 5 # 72 * 8' ?
- If % means +, @ means -, # means × and $ means ÷, then what is the value of : 26 % 40 @ 56 $ 7 # 2
- If P denote ÷, θ denotes x, R denotes + and S denotes -, what is the value of 18 θ 12 P 4 R 5 S 6.
- If ‘P’ means ‘+’, V means ‘x’, T means ‘-‘ and ‘Q’ means “÷’ , then find the...
- If ‘–‘ means ‘addition’, ‘+’ means ‘subtraction’, ‘÷ ‘ means ‘multiplication...
- Which signs should be interchanged to make the given equation correct. 51 ÷ 3 + 17 x 14 - 2 = 6...
- If ‘+’ means ‘×’, ‘ – ‘ means ‘÷ ‘, ‘×’ means ‘ – ‘ ...
- A toy is sold for Rs. 800 at 60% profit when profit is calculated on selling price. Find the profit% on cost price?
- In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
- A seller sold a vehicle for Rs. 81,000 with the loss of 10%. At what price be sold to earn 10% profit?
- Two trains start at the same time from Dehradun and Jaipur and proceed toward each other at the speed of 55 km/hr and 25 km/hr respectively. When they meet...
- If four hats are picked at random, what is the probability that one is green, two are blue and one is red?
- Which expression is correct?
- Which one of the following equations is correct?
- If ‘-’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction&rsquo...
- Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation. 128 * 4 * 12 * 3 * 8 = 20
- Study the given pattern carefully and select the number that can replace the question mark (?) in it. 4 7 6 15 ? 21 44 68 60
- Out of the total number of players, 100/3 % are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the nu...
- Select the number from among the given options that can replace the question mark (?) in the following series. 24, 35, 51, 73, 102, ?
- 87 D 29 A 12 B 5 C 9 = ?
- A recent survey of married couples in Indian metro cities showed that 20% of the couples have only one child, 45% of the remaining couples have two childre...
- If ‘*’ represents 12, '@' represents 48, '$' represents 24, and ‘!’ represents 6, then what mathematical equation below will be equ...
- In the following equations, if ‘+’ is interchanged with ‘—’ and ‘6’ is interchanged with ‘7’, then wh...
- If 34 – 28 means 952, 544 + 8 means 68, 20 ÷ 5 means 25, 20 x 10 means 10, then 375 – 11 x 270 ÷ 550 + 11 x 35 = ? ...
- Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation: 76 *(5*8*4)*9*75
- The given equation has been solved on the basis of a certain rule. Find the correct answer for the unsolved equation on that basis: If a ÷ b = (a + ...
- Which two signs should be interchanged to make the given equation correct? 25 − 5 × 50 ÷ 10 + 35 = 155
- In the following question, which mathematical operators can be used so that the expression will become correct? 9 * 6 * 28 * 4 * 30
- If ‘+’ means ‘×’, ‘-’ means ‘÷’, ‘×’ means ‘-’ and ‘÷’ means ‘+’, then choose the correct expression from the following...
- In a given code form: P + Q means P - Q P ÷ Q means P × Q P × Q means P + Q P - Q means P ÷ Q What is the correct answer for given mathematical equatio...
- If ‘+’ stands for ‘division’; ‘×’ stands for ‘addition’; ‘–’ stands for ‘multiplication’; ‘÷’ stands for ‘subtraction’,...
- Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation. 78 * 3 * 5 * 8 * 17 * 49
- Some equations are solved on the basis of a certain system. On the same basis, find out the correct answer for the unsolved equation. 5 x 3 x 2 = 125278 6 ...

Question Listing

- Alphabetical Coding
- Analogy
- Analytical Reasoning
- Aplhabetical Coding
- Appropriate Paragraph
- Appropriate Sentence
- Appropriation of sentence
- Arithmetic Problem
- Arrangement
- Binary Coding
- Blood Relations
- Cause and effect
- Classification
- Clocks and Calendars
- Coded Blood Relationship
- Coded Directions
- Coded group of words
- Coded Inequalities
- Coded Instruction
- Coded Message
- Coded operation of nos
- Coded with condition
- Coding Decoding
- Coding group of words
- Commonsense Reasoning
- Comparison Puzzle
- Comparisons
- Counting Of Figures
- Courses of Action
- Courses of action VR
- Cubes and dices
- Data Sufficiency
- Degree of Truth Falsity VR
- Direction and Distance
- Eligibility criteria
- English Dictionary
- Figure pattern completion
- Figures
- Hidden Image
- Implicit Statements Verbal Reasoning
- Input Output
- Letter operation
- Matrices
- Matrix
- Meaningful Words
- Mirror image
- Missing Letters
- Missing Numbers
- Number operation
- Odd words
- Paper cutting
- Paper folding
- Paragraph Appropriation
- Paragraph completion
- Pattern completion
- Probably True
- Puzzles
- Ranking
- Rearrangement Commonsense reasoning
- Reasoning Miscellaneous
- Relationship between statement
- Seating Arrangement
- Seating with Blood Relationship
- Series Figurative
- Set of numbers
- Simplification in reasoning
- Statement and assumption
- Statement and conclusions
- Statement and Inference
- Strong and Weak Argument
- Syllogism
- Symbols and Notations
- Venn diagrams
- Visual reasoning
- Water image
- Word Formation
- Wrong Series

The topic on Mathematical Operations is an important part of the Reasoning syllabus of various competitive exams like- SSC CHSL, SSC CGL, SBI PO, IBPS PO and many others.

In Mathematical Operations, the questions are based on the basic mathematical functions. Here, the four basic operations like- addition, subtraction, multiplication and division, and also statements such as ‘less than’, ‘greater than’, ‘equal to’, ‘not equal to’, etc. are indicated by symbols, which are different from the usual ones. The questions on this topic are set using artificial symbols.

For solving questions on Mathematical Operations accurately, you must understand the BODMAS rule really well.

- BODMAS stands for “Brackets, Orders, Division, Multiplication, Addition, and Subtraction”.
- It means you have to solve any equation in the BODMAS order.
- First, open the brackets, then solve the powers or roots, then perform Division followed by Multiplication, Addition and Subtraction.

Numerical Operation

In such types of questions, a mathematical equation is given with arithmetic notification.

Candidates are required to solve such questions as per the BODMAS rule.

For example-

Q1) If + stands for ‘division’, × stands for ‘addition’, – stands for ‘multiplication’ and ÷ stands for subtraction, then which of the following equations is correct?

(a) 36 × 6 + 7 ÷ 2 – 6 = 20

(b) 36 + 6 – 3 × 5 ÷ 3 = 24.

(c) 36 ÷ 6 + 3 × 5 – 3 = 45.

(d) 36 -6 + 3 × 5 ÷ 3 = 74.

Answer: (d)

Explanation:

36 – 6 + 3 × 5 ÷ 3

→ 36 × 6 ÷ 3 + 5 – 3.

→ 36 × 2 + 5 – 3 = 74.

→ 72 + 5 – 3 = 74.

Symbolic Operation

Here, a mathematical equation is given with symbolic notification.

Candidates are required to replace the given symbols according to the given instructions, so that the equation makes perfect sense.

For example-

Q1) Example. If P denotes ‘+’, Q denotes ‘–‘, R denotes ‘×’ and S denotes ‘÷’, then which of the following statements is correct ?

(a) 16 R 12 P 49 S 7 Q 9 = 200

(b) 32 S 8 R 9 = 160 Q 12 R 12

(c) 8 R 8 P 8 S 8 Q 8 = 57

(d) 36 R 4 S 8 Q 7 P 4 = 10

Answer: (c)

Explanation:

= 8 × 8 + 8 ÷ 8 – 8

= 8 × 8 + (8/8) – 8

= 64 +1 – 8 = 57.

Sample Questions on Mathematical Operations

Q1) If × stands for -, ÷ stands for +, + stands for ÷ and – stands for ×, which one of the following equations is correct?

15 – 5 ÷ 5 × 20 + 16 = 6

8 ÷ 10 – 3 + 5 × 6 = 8

6 × 2 + 3 ÷ 12 – 3 = 15

3 ÷ 7 – 5 × 10 + 3 = 10

Answer: (b)

Explanation:

Using the proper signs, we get:

Expression in (a) = 15 × 5 + 5 – 20 ÷ 10 = 15 × 5 + 5 – 2 = 75 + 5 – 2 = 78

Expression in (b) = 8 + 10 × 3 ÷ 5 – 6 = 8 + 10 × 3/5 – 6 = 8 + 6 – 6 = 8

Expression in (c) = 6 – 2 ÷ 3 + 12 × 3 = 6 – 2/3 + 36 = 42 – 2/3=124/3

Expression in (d) = 3 + 7 × 5 – 10 ÷ 3 = 3 + 7 × 5 – 10/3=3+35-10/3=104/3

Therefore, statement (b) is true.

Q2) If ‘+’ means ‘÷’, ‘–‘ means ‘×’, ‘×’ means ‘+‘, ‘÷’ means ‘– ‘, given the value of 45 + 9 – 3 × 15 ÷ 2.

a. 40

b. 36

c. 56

d. 28

Answer: (d)

Explanation:

Conversion according to question.

→ 45 ÷ 9 × 3 + 15 – 2.

= 5 × 3 + 15 – 2.

= 15 + 15 – 2 = 28.

Q3) If ‘R’ stands for ‘–‘, ‘A’ stands for ‘+’, ‘B’ stands for ‘÷’ and ‘C’ stands for ‘×’, then what is the value of the given equation ?(BODMAS rule will not be applicable).

25 A 37 C 2 B 4 R 1 = ?

a. 32

b. 35

c. 30

d. 27

Answer: (c)

Explanation:

According to the question, after putting signs

= 25 + 37 × 2 ÷ 4 – 1

= 62 × 2 ÷ 4 – 1

= 124 ÷ 4 – 1

= 31 – 1 = 30

Q4) If > denotes +, < denotes -, + denotes ÷, – denotes =, = denotes ‘less than’ and × denotes ‘greater than’, find which of the following is a correct statement.

3 + 2 > 4 = 9 + 3 < 2

3 > 2 > 4 = 18 + 3 < 1

3 > 2 < 4 × 8 + 4 < 2

3 + 2 < 4 × 9 + 3 < 3

Answer: (c)

Explanation:

Using proper notations, we have:

(a) Given statement is 3 ÷ 2 + 4 < 9 ÷ 3 – 2 or 11/2 < 1, which is not true

(b) Given statement is 3 + 2 + 4 < 18 ÷ 3 – 1 or 9 < 5, which is not true

(c) Given statement is 3 + 2 – 4 > 8 ÷ 4 – 2 or 1 > 0, which is true

(d) Given statement is 3 ÷ 2 – 4 > 9 ÷ 3 – 3 or -5/2 > 0, which is not true

So, Statement (c) is true.

Conclusion

The topic on Mathematical Operations is asked to test the analytical abilities of the candidates. To score well on this topic, you must practice enough questions and understand the concept behind it. You can expect around 5 questions in competitive exams.

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