Reasoning Symbols & Notations Practice set 2018-2019
- Based on latest Pattern
- English Medium eBooks
Reasoning Symbols & Notations Practice set 2018-2019
Reasoning Symbols & Notations Practice set 2018-2019
In this article, we are discussing Reasoning Section Topic (Symbols & Notations) for the SSC CGL 2018-2019. These are the most important and diverse range of question for SSC CGL & SSC CHSL.
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
Option:b
Explanation:
Option (a)
18 + 6-7 + 5x2 = 20
After conversion
18 x 6 + 7 ÷ 5-2 = 20
108 + 7/5 – 2 ≠ 20
Option (b)
18 + 6 ÷ 7 x 5- 2 = 18
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 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
Option:b
Explanation:
Option (a)
18 ÷ 3 x 2 + 8-6 = 10
After conversion
18 - 3 + 2 x 8 ÷ 6= 10
or,18 - 3 + 2 × 8/6 = 10
or, 18 – 3 + 8/3 ≠ 10
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
Q3. 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
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
Q4. 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
Option:a
Explanation:
Option (a)
Given expression
6 ÷ 20 x 12 + 7 - 1=70
After conversion
6 - 20 + 12 x 7 ÷ 1=70
or, 6 - 20 + 84 = 70
or, 90 - 20 = 70
or, 70 = 70
Q5. If '+’ means ‘-‘, ‘-‘ means ‘x’ and ‘x’ means '÷’ ‘÷’ means ‘+’ then 2 ÷ 6 x 6 ÷ 2=?
(a) 1
(b) 0
(c) 10
(d) 5
Option:d
Explanation:
Given expression
2 ÷ 6 x 6 ÷ 2 = ?
After changing the signs
? = 2 + 6 ÷ 6 + 2
or, ? = 2 + 1 + 2 = 5
Q6. 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
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
Directions (7): In the following question you have to identify the correct response from the given premises stated according to following symbols:
Q7. 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
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
Directions (8): In the following question you have to identify the correct response from the given premises stated according to following symbols.
Option:b
Explanation:
Option (a)
After putting the value of signs
2 x 5 – 6 + 2= 6
or, 10 - 6 + 2 = 6
Q9. In the following question you have to identify the correct response from the given premises stated according to the following symbols.
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 + 2 < 4 ÷ 6 > 3 x 2
(b) 3 x 2 < 4 ÷ 6 + 3 < 2
(c) 3 > 2 < 4- 6 x 3 x 2
(d) 3 x 2 x 4 = 6 + 3 < 2
Option:b
Explanation:
Option (a)
3 + 2< 4 ÷ 6 > 3 x 2
After conversion
3 ÷ 2 – 4 > 6 x 3 + 2
or, 3/2 - 4 >18 + 2
Option (b)
3 x 2 < 4 ÷ 6 + 3 < 2
After conversion
3 + 2 - 4 > 6 ÷ 3 - 2
or, 5 - 4 > 2-2
or, 1 > 0
Option (c)
3 > 2 < 4 – 6 x 3 x 2
After conversion
3 x 2 - 4 = 6 + 3 + 2.
or, 6 – 4 ≠ 11 .
Option (d)
3 x 2 x 4=6 + 3 < 2
After conversion
3 + 2 + 4 < 6 ÷ 3 - 2
Direction (10): In the following question you have to identify the correct response from the given premises stated according to following symbols.
Q10. 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
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
Directions (11): In the following question you have to identify the correct response from the given premises stated according to following symbols.
Q11. 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
Option:b
Explanation:
Option (a)
5 + 2 x 1= 3 + 4 > 1
=> 5 ÷ 2 + 1 < 3 ÷ 4 x 1
Or 5/2 + 1 < 3/4 x 1
5+2/2 < 3/4
Or 7/2 < 3/4 : Wrong
Option (b)
5 > 2 x 1 - 3 > 4 < 1
=>5 x 2 + 1 = 3 x 4 - 1
or, 11 = 11
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
Option:b
Explanation:
Option (a)
20 + 8 - 7 ÷ 6 x 4 = 20
or, 20 - 8 ÷ 7 x 6 + 4 = 20
or, 20 - 8/7 x 6 + 4 ≠ 20
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 ‘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
Option:a
Explanation:
? = 39 x 23 ÷ 21 x 5
or, ? = 39 + 23 - 21 + 5
or, ? = 67 - 21 = 46
Directions (14): In the following questions, you have to identify the correct response from the given premises stated according to following symbols.
Q14. 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
Option:b
Explanation:
or, 547 – 10 ≠ 20 x 5
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
Directions (15): In the following question you have to identify the correct response from the given premises stated according to following symbols.
Q15. If > = ÷, < = +, ^ =-, x = <, - = >, + = = and v = x
(a) 6 > 3 <2 ^ 4 v 8 – 13
(b) 6 ^ 3 < 2 > 4 v 8 + 13
(c) 6 v 3 ^ 2 > 4 < 8 x 13
(d) 6 v 3 > 2 < 4 ^ 8 x 13
Option:d
Explanation:
Q16. If + stands for ‘division’, x stands for ‘addition’, - stands for ‘multiplication’ and ÷ stands for ‘subtraction’, then which of the following equations is correct?
(a) 36 x 6 + 7 ÷ 2-6 = 20
(b) 36 + 6 - 3 x 5 ÷ 3 = 24
(c) 36 ÷ 6 + 3 x 5 - 3 = 45
(d) 36 - 6 + 3 x 5 ÷ 3 = 74
Option:d
Explanation:
Q17. A stands for ‘addition’, B for ‘subtraction’, C for ‘division’, D for ‘multiplication’, E for ‘less than’, F for ‘greater than’ and G for ‘equal to’.
Out of the alternatives only one expression is correct according to the letter symbols. Identify that.
(a) 1 8 C 2 A 4 B 6 G 9
(b) 6 D 4 B 12 A 4 C 2 F 18
(c) 10 C 2 D 4 B 6 E 12
(d) 9 A 7 B 4 C 2 G 14
Option:d
Explanation:
Q18. If P denotes +, Q denotes -, R denotes ÷, and S denotes x, then 18 S 36 R 12 Q 6 P 7 =?
(a) 115
(b) 25
(c) 55
(d) 648/13
Option:c
Explanation:
Directions (19): In the following question you have to identify the correct response from the given premises stated according to the following symbols. -
Q19. If+ means ‘minus’, — means ‘multiplied by’, ÷ means ‘plus’ and x means ‘divided by’, then
10 x 5 ÷ 3 – 2 + 3 = ?
(a) 5
(b) 21
(c) 53/3
(d) 18
Option:a
Explanation:
Q20. In the following question you have to identify the correct response from the given premises statedaccording to following symbols. If + means ÷, - means x, ÷ means + and x means-, then
63 x 24 + 8 ÷ 4 + 2-3 = ?
(a) 54
(b) 66
(c) 186
(d) 48
Option:b
Explanation:
Q21. 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
Q22. Which one of the following is correct? 6 * 3 * 4 * 45
(a) ÷, +, >
(b) ÷, >, +
(c) >, ÷, +
(d) +, >, ÷
Option:a
Explanation:
6 ÷ 3 + 4 > 45
-> 2 + 4 > 45
Option:a
Explanation:
=> 2 x 5 - 6 + 2 = 6
=> 10 - 6 + 2 = 6
Directions (24): In the following question you have to identify the correct response from the given premises stated according to following symbols.
Q24. If > = ÷, V = x, < = +, ^ = -, + ==, x = <, - = >
(a) 6 > 2 > 3 ^ 8 v 4 + 13
(b) 6 ^ 2 < 3 > 8 < 4 – 13
(c) 6 v 2 < 3 ^ 8 > 4 x 13
(d)6 > 2 v 3 < 8 ^ 4 + 13
Option:d
Explanation:
Q25. 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
Option:d
Explanation:
(12 + 6) x 18 = 36
=>(18 ÷ 6) x 12 = 36
=>3 x12 = 36
Q26. 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) - + = ÷
Option:b
Explanation:
4 x 6 – 6 + 2 = 20
=> 24 – 6 + 2 = 20
=> 26 – 6 = 20
Q27. 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
Option:b
Explanation:
5 = 15 ÷ 3
Q28. If ÷ means plus, x means subtraction, then (15 x 9) ÷ (12 x 4) x (4 ÷ 4) is equal to:
(a) 96
(b) 6
(c) 3/128
(d) 143/4
Option:b
Explanation:
Q29. If + means means - , - means x, ÷ means +, x means ÷, find the value of 15 x 3 ÷ 4- 6 + 7 ?
(a) 22
(b) 25
(c) 9
(d) 175/3
Option:a
Explanation:
Q30. If x stands for -, ÷ stands for +, + stands for x, find the value of following equation:
(16 x 5) ÷ 5 + 3 =?
(a) 62
(b) 10
(c) 2
(d) 26
Option:d
Explanation:
Direction (31): In the following question you have to identify the correct response from the given premises stated according to following symbols.
Q31. 12 3 4 8 = 0
(a) - + +
(b) ÷ + ÷
(c) - - -
(d) ÷ + -
Option:d
Explanation:
12 ÷ 3 + 4 - 8 = 0
or, 4 + 4 - 8 = 0
or, 8-8 = 0
Q32. If ‘÷’ stands addition, ‘-‘ stands for multiplication, ‘x’ stands for subtraction and ‘+’ stands for division, which of the responses does not hold good?
(a) 10 x 4 = 06
(b) 10 - 4 = 40
(c) 10 + 5 = 50
(d) 10- 5 = 15
Option:c
Explanation:
Q33. If a denotes ÷, ‘b’ denotes ‘+’, ‘c’ denotes ‘-’, ‘d’ denotes ‘x’ ,then 24a6d4b9c8=?
(a) 2
(b) 17
(c) 34
(d) 19
Option:b
Explanation:
Q34. If A means ‘x’, D means ‘+’ and G Means ‘-‘ find the value of 7A4D4A3G2?
(a) 28
(b) 38
(c) 44
(d) 48
Option:b
Explanation:
Q35. If ‘x’ stands for ‘+’, ‘÷’ for ‘-’, ‘-‘ for ‘x’ and ‘+’ for ‘÷’, find the value of the following equation :
54 ÷ 16 – 3 x 6 + 2 =?
(a) 9
(b) 12
(c) 8
(d) 15
Option:a
Explanation:
Q36. 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, ÷,-
Option:c
Explanation:
7 x 4 - 8 + 2 =>28-4 = 24
Directions (37): In each of the following questions identify the correct response from the given premises stated according to following symbols:
Q37. If ’+’ stands for ‘subtraction’ and ‘÷’ stands for ‘addition’ and ‘-‘ stands for ‘multiplication’ and ‘x’ stands for division, then which of the following equations is correct?
(a) 56 + 12 x 34 - 12 = 102
(b) 8 ÷ 44- 5 + 25 = 203
(c) 112 x 44 -12 + 10 = 46
(d) 9 + 64 - 2 x 6 = 54
Option:b
Explanation:
Q38. If ‘-‘ stands for division, ‘+’stands for multiplication, ‘÷’ stands for subtraction and ‘x’ stands for addition, then which one of the equation is correct?
(a) 30 + 5 - 12 ÷ 8 x 12 = 70
(b) 30 - 5 + 12 ÷ 8 x 12 = 76
(c) 30 x 5-12 + 8 ÷ 12 = 60
(d) 30 ÷ 5 x 12 + 8 - 12 = 24
Option:b
Explanation:
Q39. 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
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
Q40. If L = +, M = - , N = x, P = ÷, then 5 N 5 P 5 L 5 M 5 =?
(a) 0
(b) 5
(c) 10
(d) 15
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