# Symbols Questions and Answers updated daily – Logical Reasoning

Symbols Questions: Solved 115 Symbols Questions and answers section with explanation for various online exam preparation, various interviews, Logical Reasoning Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Symbols Questions

1. If ‘-’ means ‘+’, ‘+’ means ‘-’, ‘*’ means ‘÷’ and ‘÷’ means ‘*’ then which of the following will be the correct equation?

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Correct Ans:30 * 5 - 4 ÷ 10 + 15 = 31

Explanation:

From option (d),

30 ÷ 5 + 4 * 10 - 15

= 6 + 40 - 15

= 46 - 15 = 31

Hence, option D is the correct answer.

30 ÷ 5 + 4 * 10 - 15

= 6 + 40 - 15

= 46 - 15 = 31

Hence, option D is the correct answer.

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2. Substitute the correct mathematical symbols in place of * in the following equation:

16 * 4 * 5 * 14 * 6

16 * 4 * 5 * 14 * 6

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Correct Ans:÷ x = +

Explanation:

16 * 4 * 5 * 14 * 6

16 ÷ 4 * 5 = 14 + 6

4 * 5 = 20

20 = 20

Hence, option C is the correct answer.

16 ÷ 4 * 5 = 14 + 6

4 * 5 = 20

20 = 20

Hence, option C is the correct answer.

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3. Which interchange of signs will make the following equation correct?

35 + 7 * 5 ÷ 5 - 6 = 24

35 + 7 * 5 ÷ 5 - 6 = 24

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Correct Ans: ÷ and +

Explanation:

35 + 7 × 5 ÷ 5 – 6

= 35 ÷ 7 * 5 + 5 -6

= 5 * 5 + 5 -6

= 25 + 5 - 6 = 24

Hence, interchange the sign of '÷' and '+' gives the required answer.

= 35 ÷ 7 * 5 + 5 -6

= 5 * 5 + 5 -6

= 25 + 5 - 6 = 24

Hence, interchange the sign of '÷' and '+' gives the required answer.

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4. Which one of the four interchanges in signs and numbers would make the given equation correct?

Given equation: 6 x 4 + 2 = 16

Given equation: 6 x 4 + 2 = 16

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Correct Ans:+ and x, 4 and 6

Explanation:

Given equation: 6 x 4 + 2 = 16

As per option A), if we interchange + and x, 2 and 4 in the above equation, we get

---> 6 + 2 x 4 = 16

---> 6 + 8 = 16

--->

As per option B), if we interchange + and x, 2 and 6 in the above equation, we get

---> 2 + 4 x 6 = 16

---> 2 + 24 = 16

--->

As per option C), if we interchange + and x, 4 and 6 in the above equation, we get

---> 4 + 6 x 2 = 16

---> 4 + 12 = 16

--->

As per option D), if we interchange + and x, 4 and 16 in the above equation, we get

---> 6 + 16 x 2 = 4

---> 6 + 32 = 4

--->

As per option A), if we interchange + and x, 2 and 4 in the above equation, we get

---> 6 + 2 x 4 = 16

---> 6 + 8 = 16

--->

**14 = 16**---> which is**False**.As per option B), if we interchange + and x, 2 and 6 in the above equation, we get

---> 2 + 4 x 6 = 16

---> 2 + 24 = 16

--->

**26 = 16**---> which is**False**.As per option C), if we interchange + and x, 4 and 6 in the above equation, we get

---> 4 + 6 x 2 = 16

---> 4 + 12 = 16

--->

**16 = 16**---> which is**True**.As per option D), if we interchange + and x, 4 and 16 in the above equation, we get

---> 6 + 16 x 2 = 4

---> 6 + 32 = 4

--->

**38 = 4**---> which is**False**.
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5. Directions: In the following question, different letters stand for various symbols as indicated below:

R : Addition

S : Subtraction

T : Multiplication

U : Division

V : Equal to

W : Greater than

X : Less than

Out of the four alternatives given in the following question, only one is correct according to the above letter symbols.

Identify the correct one according to the symbols given in the directions.

R : Addition

S : Subtraction

T : Multiplication

U : Division

V : Equal to

W : Greater than

X : Less than

Out of the four alternatives given in the following question, only one is correct according to the above letter symbols.

Identify the correct one according to the symbols given in the directions.

SHOW ANSWER

Correct Ans:24 U 3 T 2 V 2 T 8

Explanation:

Given,

R stands for '+'

S stands for '-'

T stands for '*'

U stands for '÷'

V stands for '='

W stands for '>'

X stands for '<'

From option 1) 24 U 3 R 2 S 2 W 8

On substituting symbols, we get,

---> 24 / 3 + 2 - 2 > 8

--->

From option 2) 24 S 3 X 2 T 2 U 8

---> 24 - 3 < 2 * 2 / 8

---> 21 < 1/2

--->

From option 3) 24 R 3 S 2 X 2 T 8

---> 24 + 3 - 2 < 2 * 8

--->

From option 4) 24 U 3 T 2 V 2 T 8

---> 24 / 3 * 2 = 2 * 8

--->

R stands for '+'

S stands for '-'

T stands for '*'

U stands for '÷'

V stands for '='

W stands for '>'

X stands for '<'

From option 1) 24 U 3 R 2 S 2 W 8

On substituting symbols, we get,

---> 24 / 3 + 2 - 2 > 8

--->

**8 > 8**----> is False, since 8 = 8 is correct.From option 2) 24 S 3 X 2 T 2 U 8

---> 24 - 3 < 2 * 2 / 8

---> 21 < 1/2

--->

**21 < 0.5**----> is FalseFrom option 3) 24 R 3 S 2 X 2 T 8

---> 24 + 3 - 2 < 2 * 8

--->

**25 < 16**----> is FalseFrom option 4) 24 U 3 T 2 V 2 T 8

---> 24 / 3 * 2 = 2 * 8

--->

**8 * 2 = 2 * 8**----> is**True**.
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6. In the following equation, select correct combination of mathematical signs to replace z and balance the equation.

200 z 10 z 15 z 70 z 20

200 z 10 z 15 z 70 z 20

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Correct Ans:-, x, =, -

Explanation:

Given equation: 200 z 10 z 15 z 70 z 20

By substituting symbols given in option 1), we get

---> 200 + 10 - 15 x 70 = 20

---> 210 - 1050 = 20

--->

By substituting symbols given in option 2), we get

---> 200 ÷ 10 + 15 = 70 - 20

---> 20 + 15 = 50

--->

By substituting symbols given in option 3), we get

---> 200 - 10 x 15 = 70 - 20

---> 200 - 150 = 50

--->

By substituting symbols given in option 1), we get

---> 200 + 10 - 15 x 70 = 20

---> 210 - 1050 = 20

--->

**-840 = 20**---> which is**False.**By substituting symbols given in option 2), we get

---> 200 ÷ 10 + 15 = 70 - 20

---> 20 + 15 = 50

--->

**35 = 50**---> which is**False.**By substituting symbols given in option 3), we get

---> 200 - 10 x 15 = 70 - 20

---> 200 - 150 = 50

--->

**50 = 50**---> which is**True.**
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7. 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

Given equation;

(16 - 4) x 6 ÷ 2 + 8 = 30

SHOW ANSWER

Correct Ans:÷ and -

Explanation:

Given equation;

(16 - 4) x 6 ÷ 2 + 8 = 30

As per option A), if we interchange 4 and 2 in the above equation, we get

(16 - 2) x 6 ÷ 4 + 8 = 30

---> 14 x (6/4) + 8 = 30

---> 21 + 8 = 30

--->

As per option B), if we interchange the symbols '÷ and -' in the above equation, we get

(16 ÷ 4) x 6 - 2 + 8 = 30

----> 4 x 6 - 2 + 8 = 30

----> 24 - 2 + 8 = 30

---->

(16 - 4) x 6 ÷ 2 + 8 = 30

As per option A), if we interchange 4 and 2 in the above equation, we get

(16 - 2) x 6 ÷ 4 + 8 = 30

---> 14 x (6/4) + 8 = 30

---> 21 + 8 = 30

--->

**29 = 30**---> which is**False**.As per option B), if we interchange the symbols '÷ and -' in the above equation, we get

(16 ÷ 4) x 6 - 2 + 8 = 30

----> 4 x 6 - 2 + 8 = 30

----> 24 - 2 + 8 = 30

---->

**30 = 30**---> which is**True**.
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8. If > = ÷, < = +, ^ = -, x = <, - = >, + = = and v = x, then which of the following equation is correct?

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Correct Ans:6 v 3 > 2 < 4 ^ 8 x 13

Explanation:

Given, > = ÷

< = +

^ = -

x = <

- = >

+ = = and

v = x

Now, option A) 6 > 3 < 2 ^ 4 v 8 - 13

After conversion of symbols, we get

----> 6 / 3 + 2 - 4 x 8 > 13

----> 2 + 2 - 32 > 13

----> 4 - 32 > 13

---->

Now, option B) 6 ^ 3 < 2 > 4 v 8 + 13

After conversion of symbols, we get

----> 6 - 3 + 2 / 4 x 8 = 13

----> 6 - 3 + (1/2) x 8 = 13

----> 6 - 3 + 4 = 13

---->

Now, option C) 6 v 3 ^ 2 > 4 < 8 x 13

After conversion of symbols, we get

----> 6 x 3 - 2 / 4 + 8 < 13

----> 18 - 0.5 + 8 < 13

---->

Now, option D) 6 v 3 > 2 < 4 ^ 8 x 13

After conversion of symbols, we get

----> 6 x 3 / 2 + 4 - 8 < 13

----> 6 x 1.5 + 4 - 8 < 13

----> 9 + 4 - 8 < 13

---->

< = +

^ = -

x = <

- = >

+ = = and

v = x

Now, option A) 6 > 3 < 2 ^ 4 v 8 - 13

After conversion of symbols, we get

----> 6 / 3 + 2 - 4 x 8 > 13

----> 2 + 2 - 32 > 13

----> 4 - 32 > 13

---->

**-28 > 13 is False**Now, option B) 6 ^ 3 < 2 > 4 v 8 + 13

After conversion of symbols, we get

----> 6 - 3 + 2 / 4 x 8 = 13

----> 6 - 3 + (1/2) x 8 = 13

----> 6 - 3 + 4 = 13

---->

**7 = 13 is False**Now, option C) 6 v 3 ^ 2 > 4 < 8 x 13

After conversion of symbols, we get

----> 6 x 3 - 2 / 4 + 8 < 13

----> 18 - 0.5 + 8 < 13

---->

**25.5 < 13 is False**Now, option D) 6 v 3 > 2 < 4 ^ 8 x 13

After conversion of symbols, we get

----> 6 x 3 / 2 + 4 - 8 < 13

----> 6 x 1.5 + 4 - 8 < 13

----> 9 + 4 - 8 < 13

---->

**5 < 13 is True**.
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9. 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?

SHOW ANSWER

Correct Ans:3 x 2 < 4 ÷ 6 + 3 < 2

Explanation:

Given, ÷ means >

x means +

+ means ÷

- means =

> means x

= means <

< means -

Now, option A) 3 + 2 < 4 ÷ 6 > 3 x 2

After conversion, we get

---> 3 ÷ 2 - 4 > 6 x 3 + 2

---> (3/2) - 4 > (6 x 3) + 2

---->

Now, option B) 3 x 2 < 4 ÷ 6 + 3 < 2

After conversion, we get

---> 3 + 2 - 4 > 6 ÷ 3 - 2

--->

Now, option C) 3 > 2 < 4- 6 x 3 x 2

After conversion, we get

----> 3 x 2 - 4 = 6 + 3 + 2

---->

Now, option D) 3 x 2 x 4 = 6 + 3 < 2

After conversion, we get

---> 3 + 2 + 4 < 6 ÷ 3 - 2

--->

Hence,

x means +

+ means ÷

- means =

> means x

= means <

< means -

Now, option A) 3 + 2 < 4 ÷ 6 > 3 x 2

After conversion, we get

---> 3 ÷ 2 - 4 > 6 x 3 + 2

---> (3/2) - 4 > (6 x 3) + 2

---->

**-2.5 > 20**--- which is**false**.Now, option B) 3 x 2 < 4 ÷ 6 + 3 < 2

After conversion, we get

---> 3 + 2 - 4 > 6 ÷ 3 - 2

--->

**1 > 0**--- which is**True**.Now, option C) 3 > 2 < 4- 6 x 3 x 2

After conversion, we get

----> 3 x 2 - 4 = 6 + 3 + 2

---->

**2 = 11**--- which is**false**.Now, option D) 3 x 2 x 4 = 6 + 3 < 2

After conversion, we get

---> 3 + 2 + 4 < 6 ÷ 3 - 2

--->

**9 < 0**--- which is**false**.Hence,

**option B is the correct answer.**
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10. If * means /, - means *, / means + and + means -, then (3 - 15 / 19) * 8 + 3 = ?

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Correct Ans:5

Explanation:

(3 - 15 / 19) * 8 + 3

= (3 * 15 + 19) / 8 - 3 (after replacing the symbols)

By using the rule of BODMAS,

= ( 45 + 19) / 8 - 3

= 64 / 8 - 3

= 8 - 3

= 5.

= (3 * 15 + 19) / 8 - 3 (after replacing the symbols)

By using the rule of BODMAS,

= ( 45 + 19) / 8 - 3

= 64 / 8 - 3

= 8 - 3

= 5.

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11. In a certain code language, "˜+"™ means "˜/"™, "˜/"™ means "˜*"™, "˜*"™ means "˜-"˜, "˜-"˜ means "˜+"™.

(13 "“ 5 * 8 + 2) * (5 "“ 6 + 18 * 3) / (6 + 2) = ?

(13 "“ 5 * 8 + 2) * (5 "“ 6 + 18 * 3) / (6 + 2) = ?

SHOW ANSWER

Correct Ans:7

Explanation:

Given symbols,

'+' = '/'; '/' = '*'; '*' = '-'; '-' = '+'

The given expression

(13 - 5 * 8 + 2) * (5 - 6 + 18 * 3) / (6 + 2)

becomes

(13 + 5 - (8 / 2)) - (5 + (6 / 18) - 3) * (6 / 2)

Using BODMAS rule,

(13 + 5 - (8 / 2)) - (5 + (6 / 18) - 3) * (6 / 2)

= (18 - 4) - [2 + (1/3)] * 3

= 14 - (7/3) * 3 = 14 - 7

= 7

'+' = '/'; '/' = '*'; '*' = '-'; '-' = '+'

The given expression

(13 - 5 * 8 + 2) * (5 - 6 + 18 * 3) / (6 + 2)

becomes

(13 + 5 - (8 / 2)) - (5 + (6 / 18) - 3) * (6 / 2)

Using BODMAS rule,

(13 + 5 - (8 / 2)) - (5 + (6 / 18) - 3) * (6 / 2)

= (18 - 4) - [2 + (1/3)] * 3

= 14 - (7/3) * 3 = 14 - 7

= 7

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12. If 'A' means 'subtraction', 'B' means 'division', 'C' means 'addition' and 'D' means 'multiplication', then

330 B 6 A 32 C 45 D 12 = ?

330 B 6 A 32 C 45 D 12 = ?

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Correct Ans:563

Explanation:

330 B 6 A 32 C 45 D 12 = ?

= 330÷6 - 32 + 45 x 12

= 55 - 32 + 540

= 563

= 330÷6 - 32 + 45 x 12

= 55 - 32 + 540

= 563

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13. Which of the following interchanges in signs will make the given equation correct?

17 - 15 x 5 = 250

17 - 15 x 5 = 250

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Correct Ans:x and -

Explanation:

Given: 17 - 15 x 5 = 250

By interchanging x and -,

17 x 15 - 5 = 250

255 - 5 = 250

250 = 250

By interchanging x and -,

17 x 15 - 5 = 250

255 - 5 = 250

250 = 250

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14. In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-' What is the answer to the following question?

27 x 3 ÷ 30 + 5 - 125 = ?

27 x 3 ÷ 30 + 5 - 125 = ?

SHOW ANSWER

Correct Ans:-16

Explanation:

27 x 3 ÷ 30 + 5 - 125 = ?

By interchanging,

= 27 ÷ 3 - 30 x 5 + 125

= 9 - 30 x 5 + 125

= 9 - 150 + 125

= -16

By interchanging,

= 27 ÷ 3 - 30 x 5 + 125

= 9 - 30 x 5 + 125

= 9 - 150 + 125

= -16

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15. If the mathematical operator 'Ã·' means 'x', '+' means '"“', 'x' means '+' and '"“' means 'Ã· ', then

24 + 48 "“ 12 x 4 Ã· 2 = ?

24 + 48 "“ 12 x 4 Ã· 2 = ?

SHOW ANSWER

Correct Ans:28

Explanation:

24 + 48 â€“ 12 x 4 Ã· 2 = ?

By interchanging the signs,

24 - 48 Ã· 12 + 4 x 2

= 24 - 4 + 8

= 28

By interchanging the signs,

24 - 48 Ã· 12 + 4 x 2

= 24 - 4 + 8

= 28

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16. In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents 'Ã·' and 'Ã·' represents '-'. What is the answer to the following question?

9 + 3 "“ 72 x 6 Ã· 3 = ?

9 + 3 "“ 72 x 6 Ã· 3 = ?

SHOW ANSWER

Correct Ans:36

Explanation:

9 + 3 â€“ 72 x 6 Ã· 3 = ?

By interchanging the signs,

= 9 x 3 + 72 Ã· 6 - 3

= 27 + 12 - 3

= 36

By interchanging the signs,

= 9 x 3 + 72 Ã· 6 - 3

= 27 + 12 - 3

= 36

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17. In the following question you have to identity the correct response from the given premises stated according to following symbols. It + means /, - means *, / means + and * means -, then

63 * 24 + 8 / 4 + 2 - 3 = ?

63 * 24 + 8 / 4 + 2 - 3 = ?

SHOW ANSWER

Correct Ans:66

Explanation:

63 * 24 + 8 / 4 + 2 - 3 = ?

=> x = 63 - 24 / 8 + 4 / 2 * 3

=> x = 63 - 3 + 2 * 3

=> x = 63 - 3 + 6

=> x = 60 + 6 = 66

=> x = 63 - 24 / 8 + 4 / 2 * 3

=> x = 63 - 3 + 2 * 3

=> x = 63 - 3 + 6

=> x = 60 + 6 = 66

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18. If + means *, / means -, * means / and - means +, what will be the value of 4 + 11 / 5 - 55 = ?

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Correct Ans:None of these

Explanation:

Using the correct symbols,

we have: Given expression = 4 * 11 - 5 + 55

= 44 - 5 + 55

= 94

we have: Given expression = 4 * 11 - 5 + 55

= 44 - 5 + 55

= 94

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19. If [email protected] = 8; [email protected] = 4; [email protected] = 1; then what is the value of [email protected] = ?

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Correct Ans:3

Explanation:

The pattern is

[email protected] = 8

(17 - 1)/2 = 8

[email protected] = 4

(9 - 1)/2 = 4

[email protected] = 1

(6 - 4)/2 = 1

Similarly,

[email protected] = (8 - 2)/2 = 6/2 = 3

[email protected] = 8

(17 - 1)/2 = 8

[email protected] = 4

(9 - 1)/2 = 4

[email protected] = 1

(6 - 4)/2 = 1

Similarly,

[email protected] = (8 - 2)/2 = 6/2 = 3

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20. If 'P' denotes 'multiplied by', 'Q' denotes 'subtracted from', 'R' denotes 'added to' and 'S' denotes 'divided by', then 12 R 45 P 34 S 17 Q 6 = ?

SHOW ANSWER

Correct Ans:96

Explanation:

Given: 12 R 45 P 34 S 17 Q 6 = ?

= 12 + 45 x 34 ÷ 17 - 6

= 12 + 45 x 2 - 6

= 12 + 90 - 6

= 96.

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