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Reasoning Symbols & Notations Practice set 2018-2019

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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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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.

 

Reasoning symbols & notations Practice set 2016-2017

Option:b

Explanation:

Reasoning symbols & notations Practice set 2016-2017

Option (a)

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

Option (a)

3 + 2< 4 ÷ 6 > 3 x 2

After conversion

3 ÷ 2 – 4 > 6 x 3 + 2

or, 3/2 - 4 >18 + 2

0

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

11

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

? = 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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

Reasoning symbols & notations Practice set 2016-2017

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:

19

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:

20

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

Reasoning symbols & notations Practice set 2016-2017

Option:a

Explanation:

1

=> 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:

24

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:

28

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:

29

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:

30

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:

32

Q33. If a denotes ÷, ‘b’ denotes ‘+’, ‘c’ denotes ‘-’, ‘d’ denotes ‘x’ ,then 24a6d4b9c8=?

(a) 2

(b) 17

(c) 34

(d) 19

Option:b

Explanation:

33

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:

34

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:

35

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:

37

371

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:

38

381

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:

39

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:

40

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