Symbols and Notations Quiz – Reasoning Questions and Answers

Symbols and Notations
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Details of Symbols and Notations Quiz

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Quiz Name Symbols and Notations
Category Reasoning
Number of Questions 15
Time 30 Minutes
Exam Type MCQ (Multiple Choice Questions)

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Q1. If ‘+’stands for division, ‘÷’ stands for multiplication, ‘x’ stands for subtraction and ‘-‘ stands for addition, which one of the following is correct?

(a) 18 ÷ 6 – 7 + 5 x 2 = 20
(b) 18 + 6 ÷ 7 x 5 – 2 = 18
(c) 18 x 6 + 7 ÷ 5 -2 = 16
(d) 18 ÷ 6 x 7 + 5 -2 = 22

Answer: Option (b) 18 + 6 ÷ 7 x 5- 2 = 18

Explanation: After conversion
18 ÷ 6 x 7 – 5 + 2= 18
or, 3 x 7- 5 + 2 = 18
or, 21-5 + 2=18
or, 23-5 = 18
or, 18 = 18

Q2. If ‘+’ stands for multiplication, ‘x’ stands for division, ‘-‘ stands for addition and ‘+’ stands for subtraction, what is the answer for the following equation? 20 – 5 + 18 x (3 + 2) =?

(a) 20
(b) 18
(c) 108
(d) 22

Answer: Option: d

Explanation:

Given expression
20-5÷ 18 x (3 + 2) = ?
After changing the signs
? = 20 + 5- 18 ÷ (3 x 2)
or, ? = 20 + 5- 18 ÷ 6
or, ? = 20 + 5- 3
or, ? = 25 -3 = 22

Q3. If ‘+’ stands for multiplication, ‘x’ stands for division, ‘-‘ stands for addition and ‘+’ stands for subtraction, what is the answer for the following equation? If L = +, M = – , N = x, P = ÷, then 5 N 5 P 5 L 5 M 5 =?

(a) 0
(b) 5
(c) 10
(d) 15

Answer: Option: b

Explanation:

Given expression
5 N 5 P 5 L 5 M 5=?
After changing the signs
?=5 x 5 ÷ 5 + 5 – 5
or, ? = 5 + 5- 5 = 5

Q4. Which alternative Cleary indicates the rule followed in the following set of numbers?
7 4 8 2 = 24

(a) -, x, x
(b) x, +,÷
(c) x, -, ÷
(d) x, ÷,-

Answer:Option: c

Explanation:
7 x 4 – 8 + 2 =>28-4 = 24

Direction (5): In the following question you have to identify the correct response from the given premises stated according to following symbols.
Q. 12 3 4 8 = 0

(a) – + +
(b) ÷ + ÷
(c) – – –
(d) ÷ + –

Answer:Option: d

Explanation:

12 ÷ 3 + 4 – 8 = 0
or, 4 + 4 – 8 = 0
or, 8-8 = 0

Q6. After interchanging ÷ and =, 2 and 3 which one of the following statements becomes correct?

(a) 15 = 2 ÷ 3
(b) 5 ÷ 15 = 2
(c) 2= 15 ÷ 3
(d) 3 -2 ÷ 15

Answer: Option: b

Explanation:

5 = 15 ÷ 3

Q7. Select the correct combination of Mathematical signs to replace * signs and to balance the given equation 1 * 6 * 6 * 2 * 20

(a) + ÷ = ÷
(b) + – = ÷
(c) + – = ÷
(d) – + = ÷

Answer: Option: b

Explanation:

4 x 6 – 6 + 2 = 20
=> 24 – 6 + 2 = 20
=> 26 – 6 = 20

Q8. After interchanging ÷ and +, 12 and 18, which one of the following equations becomes correct?

(a) (90 x 18) + 18 = 60
(b) (18 + 6) ÷12 = 2
(c) (72 ÷ 18) x 18 = 72
(d) (12 + 6) x 18 = 36

Answer:Option: d

Explanation:

(12 + 6) x 18 = 36
=>(18 ÷ 6) x 12 = 36
=>3 x12 = 36

Q9. The following equation becomes mathematically correct when you interchange either the sign or the Numbers as indicated in the question. Find the correct alternative. Given equation;
(16-4) x 6 ÷ 2 + 8 = 30

(a) 4 and 2
(b) ÷ and –
(c) 16 and 6
(d) – and +

Option:b

Explanation:

(16-4) x 6 ÷ 2 + 8=30
=> (16 ÷ 4) x 6 – 2 + 8 = 30
=>4 x 6 – 2 + 8 = 30
=> 24 – 2 + 8 = 30

Q10. If ‘+’ is stands for division; ‘÷’ stands for multiplication; ‘x’ stands of subtraction; ‘-‘ stands for addition which one of the following is correct?

(a) 18 ÷ 6 – 7 + 5 x 2 = 20
(b) 18 + 6 ÷ 7 x 5- 2 = 18
(c) 18 x 6 + 7 ÷ 5 – 2 = 16
(d) 18 ÷ 6 x 7 + 5- 2 = 22

Answer: Option: b

Explanation:

Option (b)

18 + 6 ÷ 7 x 5 – 2=18
or, 18 ÷ 6 x 7 – 5 + 2=18
or, 3 x 7- 5 + 2= 18
or, 21 – 5 + 2= 18

Q11. If ‘x’ stands for ‘+’ and ‘÷’ for ‘-‘find the value of the following equation.
39 x 23 ÷ 21 x 5

(a) 46
(b) 36
(c) 62
(d) 89

Answer: Option: a

Explanation:

? = 39 x 23 ÷ 21 x 5
or, ? = 39 + 23 – 21 + 5
or, ? = 67 – 21 = 46

Q12. If ‘—‘ stands for division, ‘÷’stands for multiplication, ‘+’ stands for subtraction and ‘x’ for addition, then which of the following equation is correct?

(a) 20 + 8-7 ÷ 6 x 4 = 25
(b) 20 – 5 ÷ 4 + 6 x 5 = 15
(c) 20 x 5- 6 ÷ 7 + 4 = 28
(d) 20 ÷ 4 – 8 x 10 + 6 = 36

Answer: Option:b

Explanation:

Option (b)

20 – 5 ÷ 4 + 6 x 5 = 1.5
or, 20 ÷ 5 x 4 – 6 + 5= 15
or, 4 x 4 – 6 + 5 = 15
or, 16 – 6 + 5 = 15

Q13. If ‘+’ stands for ‘division’, ‘—‘ stands for equal to, ‘x’ stands for ‘addition’, ‘÷’ stands for ‘greater than’, ‘=’ stands for less than, ‘>’ stands for ‘multiplication’, and ‘<’ stands for ‘subtraction’, then which of the following alternatives is correct?

(a) 5 + 2 x 1 = 3 + 4 > 1
(b) 5 > 2 x 1- 3 > 4 < 1
(c) 5 x 2 < 1 – 3 < 4 x 1
(d) 5 < 2 x 1 ÷ 3 > 4 x 1

Answer: Option: b

Explanation:

Option (b)

5 > 2 x 1 – 3 > 4 < 1 =>5 x 2 + 1 = 3 x 4 – 1
or, 11 = 11

Q14. If ‘+’ means ‘minus’, ‘-’ means ‘multiplication’, ‘÷’ means ‘plus’, and ‘x’ means ‘division’,
15- 3 + 10 x 5 ÷ 5=?

(a) 52
(b) 48
(c) 22
(d) 5

Answer: Option: b

Explanation:

Given expression
15 – 3 + 10 x 5 ÷ 5 = 9
After conversion
? = 15 x 3 – 10 ÷ 5+ 5
or, ? = 45- 2 + 5
or, ? = 50- 2 = 48

Q15. If ‘÷’ stands for ‘greater than’, ‘x’ Stands for ‘addition’, ‘+’ stands for ‘division’,’-‘ stands for ‘equal to’, ‘>’ stands for ‘multiplication’. Equal to stands for ‘less than’, ‘<’ stands for ‘minus’, then which of the following alternatives is correct

(a) 3 x 2 < 4 ÷ 6 + 3 < 2
(b) 3 + 2 < 4 ÷ 6 > 3 x 2
(c) 3 > 2 < 4- 6 x 3 x 2
(d) 3 x 2 x 4 = 6 + 3 < 2

Answer:Option: a

Explanation:

Option (a)
3 x 2 < 4 ÷ 6 + 3 < 2 After conversion 3 + 2 – 4 > 6 ÷ 3 – 2
or, 5 – 4 > 2-2
or, 1 > 0

Q16. If ‘x’ means ‘-’,’ –‘ means ‘÷’, ‘+’ means ‘x’ and ‘÷’ means ‘+’, then what will be the value of the following expression? 16 x 8 ÷ 4-3 + 9 =?

(a) 10
(b) 19
(c) 20
(d) 9

Answer: Option: c

Explanation:

Given expression
16 x8 ÷ 4 – 3 + 9 = ?
After conversion
9 =16 – 8 + 4 ÷ 3 x 9
or, ? = 16 – 8 + 4/3 x 9
or, ? = 16 – 8 + 12 = 20

Q17. If ‘+’ stands for Multiplication, ‘x’ stands for Division, ‘-‘ stands for Addition and ‘÷’ stands for Subtraction, what would the following equation stand for? 20- 8 x 4 ÷ 3 + 2 = ?

(a) 41
(b) 19
(c) 16
(d) 18

Answer: Option: c

Explanation:

Given expression
20 – 8 x 4 ÷ 3 + 2 = ?
After conversion
?= 20 + 8 ÷ 4 – 3 x 2
or, ? = 20 + 2-6
or, ? = 22 – 6=16

Q18. If ‘+’ means ‘-‘, ‘-‘ means ‘x’ and ‘x’ means ‘÷’ ‘÷’ means ‘+’ then 2 ÷ 6 x 6 ÷ 2=?

(a) 1
(b) 0
(c) 10
(d) 5

Answer: Option: d

Explanation:

Given expression
2 ÷ 6 x 6 ÷ 2 = ?
After changing the signs
? = 2 + 6 ÷ 6 + 2
or, ? = 2 + 1 + 2 = 5

Q19. If ‘-‘ stands for division, ‘+’ for multiplication, ‘x’ for subtraction and ‘÷’ for addition, which one of the following equations is correct?

(a) 6 ÷ 20 x 12 + 7- 1 = 70
(b) 6 + 20 – 12 ÷ 7 x 1= 62
(c) 6 – 20 ÷ 12 x 7 + 1 = 57
(d) 6 + 20 – 12 ÷ 7 – 1 = 38

Answer: Option: a

Explanation:

Option (a)

Given expression
6 ÷ 20 x 12 + 7 – 1=70
After conversion
6 – 20 + 12 x 7 ÷ 1=70

Q20. In an imaginary mathematical operation ‘+’ means multiplication, ‘x’ means subtraction, ‘÷’ means addition and ‘-‘ means division. All other rules in mathematical operation are the same as in the existing system. Which one of the following gives the result of 175 – 25 ÷ 5 + 20 x 3 + 10?

(a) 160
(b) 2370
(c) 77
(d) 240

Answer: Option: c

Explanation:

Given expression
175- 25 ÷ 5 + 20 x 3 + 10 =?
After conversion
9 = 175 ÷ 25 + 5 x 20 – 3 x 10
or, ? = 7 + 100 – 30 = 77
or, 6 – 20 + 84 = 70
or, 90 – 20 = 70
or, 70 = 70

Q21. If ‘–‘ stands for division, ‘+’ for multiplication, ‘÷’ for subtraction and ‘x’ for addition, which one of the following equations is correct?

(a) 18 ÷ 3 x 2 + 8-6= 10
(b) 18 -3 + 2 x 8 ÷ 6= 14
(c) 18 – 3 ÷ 2 x 8 + 6= 17
(d) 18 x 3 + 2 ÷ 8 – 6= 15

Answer: Option: b

Explanation:

Option (b)

18 – 3 + 2 x 8 ÷ 6= 14
After conversion
18 ÷ 3 x 2 + 8 – 6 = 14
or, 6 x 2 + 8-6 = 14
or, 12 + 8- 6 = 14

Q22. Blood Relations
P x Q means P is the mother of Q
P + Q means P is the father of Q
P – Q means P is the son of Q
Which of the following means A is the Grandson of D?

(a) A x C+D
(b) A +B+D
(c)D+B+A
(d) A-B-D

Answer: option: d

Explanation:

A x C+D means A is the mother of C and C is the father of D Grandchild of A
A+B+D means A is the father of B and B is the father of D. Hence D is the Grandchild of A
D+B+A means D is the father of B and B is the father of A. Here A is the Grand child of D, but we don’t know whether he is the Grandson or Granddaughter of D
A-B-D means A is the son of B and B is the son of D. Hence, A is the Grandson of D

Q23. IF ‘+’ stands for ‘-‘ , ‘-‘ stands for ‘x’, ’x’ stands for ‘÷’and ‘÷’stands for ‘+’then what is the value of 56×7÷13-11+15-8÷2-7?

(a)30
(b)45
(c)60
(d)90

Answer: Option: b

Explanation:

Changing the symbols as given in the problem the above expression is
56÷7+13×11-15×8+2×7

Solving the BODMAS rule, we get 8+143-120+14=165-120=45

Q24. After interchanging – and + , 6 and 7, which of the following equations becomes correct?

a .40 + 6 × 13 – 7 × 2 = 104
b. 35 – 7 × 3 + 6 = 45
c. 6 × 14 + 36 ÷ 7 – 2 = 92
d.38 – 6 × 13 + 66 ÷ 7 = 118

Answer: Option: d

Explanation:

Option (d)

38 – 6 × 13 + 66 ÷ 7 = 118
⇒ 38 + 7 × 13 – 66 ÷ 6
⇒ 38 + 91 – 11 ⇒ 118 = 118

Q25. If ‘#’ denotes ‘-‘, @ denotes ‘×’, ‘$’ denotes ‘+’ and ‘%’ denotes ‘÷’, then
20 $ 15 # 10 @ 45 % 15

a. 12
b. 5
c. 3
d. 16

Answer: Option: b

Explanation:

Option (b)

20 $ 15 # 10 @ 45 % 15
= 20 + 15 – 10 × 45 ÷ 15
= 20 + 15 – 10 × 3
= 20 + 15 – 30 = 35 – 30 = 5

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About Symbols and Notations

Symbols and Notations Quiz has the Notations that represent something and based on the symbol you have to understand its perspective. You have Questions with the related Symbols, and you have to answer them accordingly by drawing relationship between them. Generally, this topic relates the other topics mostly blood relations. This Quiz gives the relations with a particular Symbol, and the Question provides you Notations. You have to individually draw relationship for every Symbol and carry forward that to other Symbol this process continues until the last Symbol. And also, similar symbols like less than, greater than, equal to are also represented in these type of Questions. This Quiz includes Other
topics of the Reasoning like Mathematical Quantifiers, Syllogisms in these Questions you have to understand and answer them carefully.

Benefits of Practicing the Symbols and Notations Quiz

  • By this Quiz, you can attain many benefits such as You can differentiate the Symbols of Algebra using the Notations like Multiplication, Division, Addition, Subtraction and many other algebraic expressions.
  • You can relate many letter Symbols with new expressions refers to Notations.
  • You can differentiate the meaning of the equation or formulae or any expression.
  • Questions are similar to the competitive exam pattern, and you can understand time management through this Quiz.

Results of Symbols and Notations Quiz

The results of this Quiz depends on your performance criteria. If you practice, thoroughly you attain good results. The results we are providing to the aspirants are useful to estimate the marks they are going to obtain in the competitive exams.

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