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