  # SSC Reasoning Symbols & Notations | CGL & CHSL Tier 1 Reasoning

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## SSC Reasoning Symbols & Notations | CGL & CHSL Tier 1 Reasoning

SSC Reasoning Symbols & Notations | CGL & CHSL Tier 1 Reasoning

Q1. Select the correct set of symbols which will fit in the given equation 5 0 3 5 = 20

(a) + - x

(b) x ÷ x

(c) — + x

(d) x x x

Option:c

Explanation:

5 - 0 + 3 x 5 or, 5+15 = 20

Q2. If ‘x’ stands for minus, ‘+’stands for multiplication, ‘-’ Stands for plus, then which one of the following is correct? 6 + (3 x 1) + 5 =?

(a) 58

(b) 64

(c) 60

(d) 12

Option:c

Explanation: Given expression
6 + (3 x 1) + 5 =?
After changing the signs
? = 6 x (3-1) x 5
or, ? = 6 x 2 x 5 = 60

Q3. If ‘+’ means ‘÷’, ‘÷’ means ‘-‘, ‘-‘ means ‘x’ , ‘x’ means ‘+’ , then 12 + 6 ÷ 3- 2 x 8 = ?

(a) -2

(b) 4

(c) 2

(d) 8

Option:b

Explanation: Given expression
12 + 6 ÷ 3- 2 x 8 = ?
After changing the signs
= 12 ÷ 6-3 x 2 + 8
or, ? = 2- 6 + 8
or, ? = 10- 6 = 4

Q4. If ‘+’ stands for ‘x’, ‘-‘ for ‘÷’, ‘x’ for ‘-’ and ‘÷’ for ‘+’, then find the value of the following equation
26 + 74 -4 x 5 ÷ 2 = ?

(a) 220

(b) 376

(c) 478

(d) 488

Option:c

Explanation: Give expression
26 + 74 - 4 x 5 ÷ 2= ?
After changing the signs
? = 26 x 74 ÷ 4- 5 + 2
? = 481- 5 + 2
or, ? = 483- 5 = 478

Q5. If L →+, M → -, N →x, P → ÷, then 14 N 10 L 42 P 2 M 8 = ?

(a) 153

(b) 216

(c) 248

(d) 251

Option:a

Explanation: Given expression
14 N 10 L 42 P 2 M 8 = ?
After changing the signs
? = 14 x 10 + 42 ÷ 2- 8
or, ? = 14 x 10 + 21- 8
or, ? = 140 + 21- 8 = 153

Q6. If ‘+’ stands for subtraction, ‘÷’ stands for addition, ‘-’stands for multiplication and ‘x’ stands for division, then which one of the following equations is correct?

(a) 46 - 10 + 10 x 5 = 92

(b) 265 + 11 - 2 x 14 = 22

(c) 66 x 3 - 11 + 12 = 230

(d)2 – 14 x 44 ÷ 11 = 16

Option:c

Explanation: Option (a)
46 - 10 + 10 x 5 = 92
or, 46 x 10 - 10 ÷ 5 = 92
or, 460 - 2 ≠ 92
Option (b)
265 + 11 - 2 x 14 = 22
or, 265 -11 x 2 ÷ 14 = 22
or, 265 - 22/14 ≠ 22

Option (c)
66 x 3 - 11 + 12 = 230
or, 66 ÷ 3 x 11-12 = 230
or, 22 x 11 - 12 = 230
or, 242 - 12 = 230

Q7. (a) 8

(b) 9

(c) 7

(d) 6

Option:b

Explanation: = (15+ 12) ÷ 3 = 27 ÷ 3 = 9

Q8. (a) 8

(b)10

(c)12

(d)14

Option:a

Explanation:

(12 x 4) ÷ 6 = ?
? = 48/6 = 8

Q9. In the following question, you have to identify the correct response from the given premises stated according to following symbols; If + denotes - , - denotes = , = denotes + , ÷ denotes >, x denotes <, how do you solve the following problem? 8 + 4 - ?
(a) 4

(b) 32

(c) 12

(d) 2

Option:a

Explanation: 8 + 4 - ?
=> 8 - 4 = ?
? = 4

Directions (10): Some symbols are represented by alphabets as below;

Q10. Of the four alternatives only one expression has the correct relationship. Identify that and indicate your answer:

(a) 15 C 15 B 8 F 4 B 6 C 3

(b) 15 B 5 G 8 B 4 G 6 F 3

(c) 15 A 5 E 8 C 4 B 6 E 3

(d) 15 C 5 F 8 C 4 B 6 C 3

Option:d

Explanation:

Option (a)
15 C 15 B 8 F 4 B 6 C 3
=> 15 ÷ 15 + 8 < 4 + 6 ÷ 3
=> 1 + 8 < 4 + 2
Option (b)
15 B 5 G 8 B 4 G 6 F 3
=> 15 + 5 - 8 + 4 – 6 < 3
= 24 - 14 < 3

Option (c)

15 A 5 E 8 C 4 B 6 E 3
=> 15 > 5 x 8 ÷ 4 + 6 x 3
=> 15 > 10 + 18

Option (d)
15 C 5 F 8 C 4 B 6 C 3
=> 15 ÷ 5 < 8 ÷ 4 + 6 ÷ 3
=> 3 < 2 + 2

Directions (11-12): Select the correct set of symbols which will fit in the given equation.

Q11. 23 26 27

(a) + 3 =; x 1 =

(b) x 3 =; x 1 =

(c) + 3 =; + 1 =

(d) x 3 =; + 1 =

Option:c

Explanation:

23 + 3 = 26 and 26 + 1 = 27

Q12. 65 40 11= 36

(a) – and +

(b) x and ÷

(c) ÷ and +

(d) + and x

Option:a

Explanation:

65 – 40 + 11 = 25 + 11 = 36

Q13. Choose proper signs for sequential operations to produce: the resultant Figure:

31 1 2 1 →  16.

(a) x ÷ x =

(b) - + ÷ =

(c) + — x =

(d) - ÷ + =

Option:d

Explanation:

31 - 1 ÷ 2 + 1 = 16
=>30 ÷ 2 + 1 =16
=>16 = 16

Q14. Some symbols are represented by alphabets as

+      -     x    ÷    =     >    <

B      G   E    C   D     A     F

of the four alternatives only one expression has the correct relationship. Indentify that:

(a) 18F 3B 6E 8G 4E 12

(b) 18C 3G 6B 8B 4D 12

(c) 18A 3E 6B 8G 4B 12

(d) 18C 3D 6B 8C 4G 12

Option:b

Explanation:
Option (a)
18 F 3 B 6 E 8 G 4 E 12
or, 18 < 3 + 6 x 8 - 4 x 12
or, 18 < 3 + 48- 48
or, 18 < 3

Option (b)
18 C 3 G 6 B 8 4 D 12
or, 18 ÷ 3 - 6 + 8 + 4= 12
or, 6 – 6 + 12 = 12
or, 12 = 12

Option (c)
18 A 3 E 6 B 8 G 4 B 12
or, 18 > 3 x 6 + 8 - 4 + 12
or, 18 > 18 + 8 - 4 + 12
or, 18 > 34

Option (d)
18 C 3 D 6 B 8 C 4 G 12
or, 18 ÷ 3 = 6 + 8 ÷ 4 - 12
or, 6 = 6 + 2- 12
or, 6 ≠ 4

Q15.  Option:c

Explanation: Q16.  Option:a

Explanation: Q17. If ÷ stands for ‘greater than’, x stands for ‘addition’ + stands for ‘division’,-stands for ‘equal to’, > stands for ‘multiplication’, = stands for ‘less than’, < stands for ‘minus’ then which of the following alternatives is correct?
(a) 5 > 2 < 1 -3 x 4 x 1

(b) 5 < 2 x 1 ÷ 3 > 4 x l

(c) 5 > 2 x 1 — 3 > 4 < 1
(d) 5 + 2 x 1 = 3 + 4 > 1

Option:c

Explanation: Option (a)
5 > 2 < 1- 3 x 4 x 1
or, 5 x 2 - 1 = 3 + 4 + 1
or, 9 ≠ 8

Option (b)
5 < 2 x 1 ÷ 3 > 4 x 1
or, 5 - 2 + 1 > 3 x 4 + 1
or, 4 > 13

Option (c)
5 > 2 x 1 – 3 > 4 < 1
or, 5 x 2 + 1 = 3 x 4 - 1
or, 11 = 11

Option (d)
5 + 2 x 1=3 + 4> 1
or, 5 ÷ 2 + 1 < 3 ÷ 4 x 1
or, 5/2 +1 < 3/4
or, 7/2 < 3/4

Q18. The symbols for addition (+), subtraction (-), multiplication (x) and division (÷) will have to be inserted in the blank squares in order to get answer 3 as shown in the equation: Find out which set below is correct.
(a) - + ÷

(b) + - x ÷

(c) x - ÷ +

(d) ÷ + x -

Option:d

Explanation:

20 ÷ 5 + 8 x 2- 17
Or, 4 + 16 - 17 = 3

Q19. If ‘-‘ means addition, ‘÷’ means subtraction, ‘x’ means division and ‘÷’ means multiplication, then
7 ¬ 10 x 5 ÷ 6 + 4 = ?
(a) 3

(b) 12

(c) 15

(d) 9

Option:c

Explanation: ? = 7 - 10 x 5 ÷ 6 + 4
=> ? = 7 + 10 ÷ 5 x 6 - 4
=> ? = 7 + 2 x 6 - 4
=> ? = 7 + 12 - 4= 15

Q20. If ‘÷’ means ‘x’, ‘- ‘ means ‘+’, ‘x’ means ‘-‘ , ‘+’ means ‘÷’, then what will be the value of the following?
20 + 4 x 6- 5 ÷ 7

(a) 28

(b) 32

(c) 34

(d) 36

Option:c

Explanation: = 20 + 4 x 6 - 5 + 7
=> ? = 20 ÷ 4- 6 + 5 x 7
=> ? = 5- 6 + 35 = 34

Q21. Select the correct combination of mathematical signs to replace ? signs and to balance the given equation. 8 ? 5 ? 2 ? 72 ? 4

(a) = x + ÷

(b) x = + ÷

(c) x + = ÷

(d) + x = ÷

Option:d

Explanation:

8 ? 5 ? 2 ? 72 ? 4

=>8 + 5 x 2 = 72 ÷ 4

=> 8+ 10= 18

Q22. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 15 * 3 * 5 * 20 * 2

(a) + - = ÷

(b) x - = x

(c) + = ÷ x

(d) x - = ÷

Option:b

Explanation:

15 x 3- 5 = 20 x 2
=> 45 - 5 = 40

Q23. Which of the following interchanges of signs would make the given equation correct?

24 + 6 x 3 ÷ 3 -1 = 14

(a) + and x

(b) x and -

(c) ÷ and +

(d) - and ÷

Option:c

Explanation:

24 ÷ 6 x 3 + 3- 1 = 14
=> 4 x 3 + 3- 1 =14
=> 12 + 3 - 1 = 14
=> 15-1 = 14

Q24. Which of the following interchange of signs or figures would make the given equation correct?

(5 + 2) x 2 - 10 = 16

(a) + and x

(b) 5 and 10

(c) + and -

(d) 5 and 2

Option:c

Explanation:

(5 + 2) x 2- 10= 16
=> (5 - 2) x 2 + 10 = 16
=> 3 x 2 + 10 = 16
=>6 + 10=16

Q25. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 2 * 3 * 2 * 4 * 8

(a) + - + =

(b) x - + =

(c) - + x =

(d) x + - =

Option:b

Explanation:

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

Q26. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 16 * 2 * 24 * 3 * 6

(a) + = - ÷

(b) x - + =

(c) + ÷ = ÷

(d) - - ÷ =

Option:d

Explanation:

16 - 2 - 24 ÷ 3 = 6
=> 16 - 2 - 8 = 6
=> 16- 10 = 6

Q27. Which interchange of signs will make the following equation correct? 30 - 6 ÷ 4 + 2 x 3 = 7

(a) + and x

(b) - and +

(c) - and ÷

(d) + and -

Option:c

Explanation:

30 ÷ 6 - 4 + 2 x 3 = 7
=> 5 - 4 + 6 = 7

Q28. Which of the following interchanges of signs would make the given equation correct? 5 + 6 ÷ 3- 12 x 2 = 17

(a) ÷ and x

(b) + and x

(c) + and ÷

(d) + and -

Option:a

Explanation:

5 + 6 x 3- 12 ÷ 2 = 17
=> 5 + 18 - 6 = 17
=> 23- 6= 17

Q29. Select the correct combination of mathematical-signs to replace * signs and to balance the given equation. 16 * 4 * 3 * 4 * 13

(a) ÷ x - =

(b) x - + =

(c) + = ÷ x

(d) - x ÷ =

Option:d

Explanation:

16 - 4 x 3 ÷ 4= 13
=> 16 - 3= 13

Q30. Which interchange of signs or numbers will make the following equation correct?
(7 + 2) x 3 x 4 - 1 = 20

(a) 2 and 3

(b) x and -

(c) 7 and 3

(d) + and x

Option:d

Explanation:

(7 + 2) x 3 x 4 - 1 = 20
=> (7x2) + 3 + 4 -1= 20
=>14 + 3 + 4 - 1=20

Q31. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 6 * 15 *10 * 3 * 12

(a) ÷ + = x

(b) + ÷ x =

(c) x ÷ + =

(d) + - = ÷

Option:c

Explanation:

6 * 15 * 10 * 3* 12
=> 6 x 15 ÷ 10 + 3 = 12
=> 9 + 3 = 12

Q32. Which interchange of signs will make the following equation correct? (16-4) x 6 ÷2 + 8 = 30

(a) ÷ and -

(b) 4 and 2

(c) - and +

(d) 16 and 6

Option:a

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
=> 32 - 2 = 30

Q33. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 18 * 6 * 3 * 12 * 24

(a) ÷ - = x

(b) x ÷ - =

(c) + ÷ x =

(d) x = ÷ +

Option:b

Explanation:

18 x 6 ÷ 3- 12 = 24
=>18 x 2 - 12 = 24
=> 36 - 12 = 24

Q34. If - stands for ÷, + stands for x, ÷ stands for - and x stands for + find out which one is correct.

(a) 49 x 7 + 3 ÷ 5 - 8 = 16

(b)49 ÷ 7 x 3 + 5 - 8 = 26

(c) 49 + 7 - 3 x 5 ÷ 8 = 20

(d) 49 - 7 + 3 ÷ 5 x 8 = 24

Option:d

Explanation: Option (a):
49 x 7 + 3 ÷ 5 - 8 = 16
=>49 + 7 x 3 – 5 ÷ 8=16
=>49 + 21- 5/8= 16
=> 392 + 168 - 5 ≠ 128

Option (b)
49 ÷ 7 x 3 + 5 - 8 = 26
=>49 - 7 + 3 x 5 ÷ 8 = 26
=> 49 -7 + 15/8 = 26
=> 392 - 56 + 15 = 208
=>351 ≠ 208

Option (c)
49 + 7- 3 x 5 ÷ 8 = 20
=>49 x 7 ÷ 3 + 5- 8 = 20
(49 × 7)/3 + 5 - 8 ≠ 20

Option (d)
49 - 7 + 3 ÷ 5 x 8 = 24
=>49 ÷ 7 x 3 - 5 + 8 = 24
=> 7 x 3 - 5 + 8 = 24
=>21 - 5 + 8 = 24

Q35. Which of the following Interchange of the signs would make the given equation correct?
( 12 ÷ 6) + 3 x 7= 42

(a) + and x

(b) 6 and 7

(c) ÷ and +

(d) 12 and 3

Option:c

Explanation:

(12 ÷ 6) + 3 x 7= 42
=> (12 + 6) ÷ 3 x 7 = 42
=> 18 ÷ 3 x 7 = 42

Q36. Which of the following Interchange of the signs would make the given equation correct?
35 + 7 x 5 ÷ 5 – 6= 24

(a) + and -

(b) + and x

(c) ÷ and +

(d) – and ÷

Option:c

Explanation:

35 + 7 x 5 ÷ 5 – 6 = 24
=> 35 ÷ 7 x 5 + 5 – 6 = 24
=> 5 x 5 + 5 – 6 = 24
=> 25 + 6 – 6 = 24

Q37. If x stands for -, + means x, ÷ means + and - means ÷, then what is the value of the given expression?
175 - 25 ÷ 5 + 20 x 3 + 10 = ?

(a) 77

(b) 160

(c) 240

(d) 2370

Option:a

Explanation: 175- 25 ÷ 5 + 20 x 3 + 10 =?
=> ? = 175 ÷ 25 + 5 x 20 - 3 x 10
=> ? = 7 + 100 - 30 = 77

Q38. Which one of the four interchanges in signs and numbers would make the given equation correct ?
6 x 4 + 2 = 16

(a) + and x, and 4

(b) + and x, 2 and 4

(c) + and x, 4 and 6

(d) None of these

Option:c

Explanation:

6 x 4 + 2 = 16
=>4 + 6 x 2 = 16
=>4 + 12 = 16

Q39. If L denotes x, M denotes ÷, P denotes + and Q denotes - , then find the value of
16 P 24 M 8 Q 6 M 2 L 3 = ?

(a) 6

(b) 8

(c) 10

(d) 12

Option:c

Explanation: 16 P 24 M 8 Q 6 M 2 L 3 =?
=>? = 16 + 24 ÷ 8 - 6 ÷ 2 x 3
=>? = 16 + 3- 3 x 3
=>? = 16 + 3-9 = 10

Q40. Some equations are solved on the basis of a certain system. Find out the correct answer for the unsolved equation on that basis. If 8 + 8 = 72, 5 + 5 = 30 and 7 + 7 = 56, what is 6 + 6 = ?
(a) 40

(b) 42

(c) 30

(d) 36

Option:b

Explanation:

8 + 8=>8 x 8 + 8 = 72 ;

5 + 5=>5 x 5 + 5 = 30

7 + 7 => 7 x 7 + 7 = 56 ;

6 + 6=>6 x 6 + 6 = 42