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.
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2. Substitute the correct mathematical symbols in place of * in the following equation:
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.
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3. Which interchange of signs will make the following equation correct?
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.
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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




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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
---> 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.




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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
---> 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 False

From option 3) 24 R 3 S 2 X 2 T 8
---> 24 + 3 - 2 < 2 * 8
---> 25 < 16 ----> is False

From 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




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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
---> -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




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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
---> 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
----> -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?




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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
----> -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.
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11. In a certain code language, "˜+"™ means "˜/"™, "˜/"™ means "˜*"™, "˜*"™ means "˜-"˜, "˜-"˜ means "˜+"™.
(13 "“ 5 * 8 + 2) * (5 "“ 6 + 18 * 3) / (6 + 2) = ?




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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
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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 = ?




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

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
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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 = ?




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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
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15. If the mathematical operator '÷' means 'x', '+' means '"“', 'x' means '+' and '"“' means '÷ ', then
24 + 48 "“ 12 x 4 ÷ 2 = ?




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Correct Ans:28
Explanation:
24 + 48 – 12 x 4 ÷ 2 = ?

By interchanging the signs,
24 - 48 ÷ 12 + 4 x 2
= 24 - 4 + 8
= 28
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16. In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?

9 + 3 "“ 72 x 6 ÷ 3 = ?




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Correct Ans:36
Explanation:
9 + 3 – 72 x 6 ÷ 3 = ?

By interchanging the signs,
= 9 x 3 + 72 ÷ 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 = ?




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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
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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
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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
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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 = ?




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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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