- If ‘P’ means ‘+’, V means ‘x’, T means ‘-‘ and ‘Q’ means “÷’ , then find the...
- If ‘–‘ means ‘addition’, ‘+’ means ‘subtraction’, ‘÷ ‘ means ‘multiplication‘ and ‘×’ means ‘division’ , then find the ...
- Which signs should be interchanged to make the given equation correct. 51 ÷ 3 + 17 x 14 - 2 = 6
- A toy is sold for Rs. 800 at 60% profit when profit is calculated on selling price. Find the profit% on cost price?
- If ‘-‘ stands for division ‘+’ stands for subtraction ‘÷’ stands for multiplication ‘×’ stands for addition, then which one of the follow...
- If four hats are picked at random, what is the probability that one is green, two are blue and one is red?
- A seller sold a vehicle for Rs. 81,000 with the loss of 10%. At what price be sold to earn 10% profit?
- 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 of the following interchange of sign would make the given equation correct? 45 × 9 + 5 ÷ 4 = 25
- 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
- In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
- If '+' means '–', '–' means '×', '÷' means '+' and '×' means '÷', then ' 30 – 12 + 20 × 10 ÷ 10 ' = (?) ...
- 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 ‘A’ denotes ‘÷’, ‘B’ denotes ‘x’, ‘C’ denotes ‘+’ and ‘D’ denotes ‘-’.Then find the value of 12 B 9 A 3 C 28 A ...
- If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and - stands for 'division', then 31 × 18 ÷ 20 - 5 + 9 =...
- If $ means +, # means - , @ means x and * means ÷, then what is the value of 22 $ 3 @ 10 # 21 * 7 =?
- If P means ‘multiplied by’, T means ‘subtracted from’, M means ‘added to’ and B means ‘divided by’, then 40 B 8 P 8 T 14 M ...
- If ‘’ means ‘addition’, ‘%’ means ‘multiplication’ and ‘$’ means ‘division’, then 55 > 24 $ 4 < 8 % 6 = ? ...
- If '>' means 'Addition', '$' means 'Divide', ' 32 $ 8 < 6 % 5 ' = (?)
- If 22 – 16 means 352, 450 + 50 means 9, 9 ÷ 3 means 12, 11 x 8 means 3, then ' 280 – 5 x 240 ÷ 450 + 9 x 26' = ?
- If 30 – 22 means 660, 220 + 11 means 20, 14 ÷ 7 means 21, 15 x 12 means 3, then ' 333 – 8 x 255 ÷ 490 + 7 x 32 ' = ?...
- 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 = ? ...
- If, 40 – 14 means 560, 168 + 8 means 21, 26 ÷ 2 means 28, 8 x 7 means 1, then 410 – 7 x 290 ÷ 350 + 7 x 21 = ?
- If P denotes ‘multiplied by’, T denotes ‘subtracted’, M denotes ‘added to’ and B denotes ‘divided by’, then 48 B 6 P 15 T 14 M 12 =?...
- If P denotes ‘multiplied by’, T denotes ‘subtracted from’, M denotes ‘added to’ and B denotes ‘divided by’, then 50 B 5 P 16 T...
- Given set: [40, 36, 28]
- Given set: [92, 88, 80]
- If + means ÷, × means –, – means × & ÷ means +, then 32 + 16 – 13 x 18 ÷ 2 = ?
- Rachit walks a distance of 5 Km towards North, then turns to his left and walks for 3 Km. He again turns left and walks for 5 Km. At this point he turns to...
- If 12 $ 18 = 10, 15 $ 18 = 11 then what is the value of 32 $ 22 = ?
- If 6$144 = 24, 8$232 = 29 then what is the value of 5$110 = ?
- If 14 (16) 8 and 28 (20) 5, then what is the value of A in 63 (A) 4?
- If ‘ > ’ means ‘plus’, then ' 55 > 24 $ 4 < 8 % 6 ' = ?
- If ' + ' means ' × ', ' - ' means ' ÷ ', ' × ' means ' - ' and ' ÷ ' means ' + ' then 18 × 9 ÷ 3 + 8 - 4 = ? ...
- If ‘-’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction&rsquo...
- 4 – 10 × 5 + 9 ÷ 3 = 51

Question Listing

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

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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