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Reasoning Aptitude

SYMBOLIC OPERATIONS MCQs

Symbols And Notations

Total Questions : 57 | Page 3 of 6 pages
Question 21. 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 = ?
  1.    41
  2.    19
  3.    16
  4.    18
 Discuss Question
Answer: Option C. -> 16

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

Question 22. If ‘+’ means ‘-‘, ‘-‘ means ‘x’ and ‘x’ means ‘÷’ ‘÷’ means ‘+’ then 2 ÷ 6 x 6 ÷ 2=?
  1.    1
  2.    0
  3.    10
  4.    5
 Discuss Question
Answer: Option D. -> 5

Explanation:

Given expression
2 ÷ 6 x 6 ÷ 2 = ?
After changing the signs
? = 2 + 6 ÷ 6 + 2
or, ? = 2 + 1 + 2 = 5

Question 23. If ‘-‘ stands for division, ‘+’ for multiplication, ‘x’ for subtraction and ‘÷’ for addition, which one of the following equations is correct?
  1.    6 ÷ 20 x 12 + 7- 1 = 70
  2.    6 + 20 – 12 ÷ 7 x 1= 62
  3.    6 – 20 ÷ 12 x 7 + 1 = 57
  4.    6 + 20 – 12 ÷ 7 – 1 = 38
 Discuss Question
Answer: Option A. -> 6 ÷ 20 x 12 + 7- 1 = 70

Explanation:

Option (a)

Given expression
6 ÷ 20 x 12 + 7 – 1=70
After conversion
6 – 20 + 12 x 7 ÷ 1=70

Question 24. 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?
  1.    160
  2.    2370
  3.    77
  4.    240
 Discuss Question
Answer: Option C. -> 77

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
or, 6 – 20 + 84 = 70
or, 90 – 20 = 70
or, 70 = 70

Question 25. If ‘–‘ stands for division, ‘+’ for multiplication, ‘÷’ for subtraction and ‘x’ for addition, which one of the following equations is correct?
  1.    18 ÷ 3 x 2 + 8-6= 10
  2.    18 -3 + 2 x 8 ÷ 6= 14
  3.    18 – 3 ÷ 2 x 8 + 6= 17
  4.    18 x 3 + 2 ÷ 8 – 6= 15
 Discuss Question
Answer: Option B. -> 18 -3 + 2 x 8 ÷ 6= 14

Explanation:

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

Question 26. Blood Relations
P x Q means P is the mother of Q
P + Q means P is the father of Q
P – Q means P is the son of Q
Which of the following means A is the Grandson of D?
  1.    A x C+D
  2.    A +B+D
  3.    D+B+A
  4.    A-B-D
 Discuss Question
Answer: Option D. -> A-B-D

Explanation:

A x C+D means A is the mother of C and C is the father of D Grandchild of A
A+B+D means A is the father of B and B is the father of D. Hence D is the Grandchild of A
D+B+A means D is the father of B and B is the father of A. Here A is the Grand child of D, but we don’t know whether he is the Grandson or Granddaughter of D
A-B-D means A is the son of B and B is the son of D. Hence, A is the Grandson of D

Question 27. IF ‘+’ stands for ‘-‘ , ‘-‘ stands for ‘x’, ’x’ stands for ‘÷’and ‘÷’stands for ‘+’then what is the value of 56×7÷13-11+15-8÷2-7?
  1.    30
  2.    45
  3.    60
  4.    90
 Discuss Question
Answer: Option B. -> 45

Explanation:

Changing the symbols as given in the problem the above expression is
56÷7+13×11-15×8+2×7

Solving the BODMAS rule, we get 8+143-120+14=165-120=45

Question 28. After interchanging – and + , 6 and 7, which of the following equations becomes correct?
  1.    40 + 6 × 13 – 7 × 2 = 104
  2.    35 – 7 × 3 + 6 = 45
  3.    6 × 14 + 36 ÷ 7 – 2 = 92
  4.    38 – 6 × 13 + 66 ÷ 7 = 118
 Discuss Question
Answer: Option D. -> 38 – 6 × 13 + 66 ÷ 7 = 118

Explanation:

Option (d)

38 – 6 × 13 + 66 ÷ 7 = 118
⇒ 38 + 7 × 13 – 66 ÷ 6
⇒ 38 + 91 – 11 ⇒ 118 = 118

Question 29. If ‘#’ denotes ‘-‘, @ denotes ‘×’, ‘$’ denotes ‘+’ and ‘%’ denotes ‘÷’, then
20 $ 15 # 10 @ 45 % 15
  1.    12
  2.    5
  3.    3
  4.    16
 Discuss Question
Answer: Option B. -> 5

Explanation:

Option (b)

20 $ 15 # 10 @ 45 % 15
= 20 + 15 – 10 × 45 ÷ 15
= 20 + 15 – 10 × 3
= 20 + 15 – 30 = 35 – 30 = 5

Question 30. If + stands for ‘division’, × stands for ‘addition’, – stands
for ‘multiplication’ and ÷ stands for subtraction, then which of the
following equations is correct?
  1.    36 × 6 + 7 ÷ 2 – 6 = 20
  2.    36 + 6 – 3 × 5 ÷ 3 = 24
  3.    36 ÷ 6 + 3 × 5 – 3 = 45
  4.    36 -6 + 3 × 5 ÷ 3 = 74
 Discuss Question
Answer: Option D. -> 36 -6 + 3 × 5 ÷ 3 = 74

Solution
36 – 6 + 3 × 5 ÷ 3
→ 36 × 6 ÷ 3 + 5 – 3.
→ 36 × 2 + 5 – 3 = 74.
→ 72 + 5 – 3 = 74

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